diff --git "a/data/dm_maths/full_data/10817_11255.jsonl" "b/data/dm_maths/full_data/10817_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/10817_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Suppose 0 = -g - 30. Let f = g - -58. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8 - 3*f**2 + 4*f**2 - f**3 - 5 in the form i*f + x*f**3 + a*f**2 + w and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10*a**2*m**3 + a**2*m**2 - a**2*m - 238*a**2 + 23*m**3 wrt m?\nAnswer: -60*a**2 + 138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes after 1:21 AM?\nAnswer: 10:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -65 times 0.1\nAnswer: -6.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7718*q + 12*q**2 + 6 + 7718*q + (q - 2*q - q)*(-q + 1 - 1) - 2*q**2 + 4*q**2 - 3*q**2 - 3*q - 3*q**2 + 3*q.\nAnswer: 10*q**2 + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(612) - -1*sqrt(612)) + sqrt(612))**2 + sqrt(612) + -4 + sqrt(612) + 0.\nAnswer: 12*sqrt(17) + 5508","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*w + 3595 - 4312 + 717 + 17*w**3.\nAnswer: 17*w**3 - 4*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/398937 and 23\/33?\nAnswer: 398937","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 + 8. Suppose -5*q - o = -22. Solve -5*p - 15 = 0, -q*g + 0*g + 3 = -4*p for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1177725413 a multiple of 313?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -2603.\nAnswer: 2\/2603","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44319 is divided by 752?\nAnswer: 703","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 848390509 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -204130*i*z**3 + 12*i*z**2 + 7*i*z - 29*z**2 + 2 wrt z?\nAnswer: -1224780*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**2 + 5*v + 7. Let n be y(5). Suppose h - n = -3. Suppose h*l - 6 + 26 = 0. What is the second smallest value in 3, 0, l?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 49287, 49839, 50391, 50943?\n\"Answer: 552*i + 48735","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -104230 divided by -20846?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 252 + -210. Let h = f + -39. Solve h*g - 4*n + 19 = -4, -5*g - 4*n - 17 = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (4\/6)\/(5\/30). Suppose -j + 1155 = a*j. Suppose 23*v = 26*v - j. Is v a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 596.6756ml?\nAnswer: 0.5966756","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 108 and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3 - (-138)\/(-2)) + 2. Let d be (-534)\/(-7) + 20\/u. Calculate the greatest common divisor of 19 and d.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-8)\/(-28))\/(1\/7). Suppose r*v + 126 = 4*v. Suppose -5*w - 49 = -d, w - v = -d - w. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9330 by 1.\nAnswer: -9330","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**2 + 7*s - 2. Let p be g(5). Solve h + 9*o = 4*o - p, -6 = -5*h - 2*o for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 99808000 to the nearest integer?\nAnswer: 9990","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve o - 6*z = -101, -111*z - 81 = 4*o - 116*z for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -26*p**3 + 1 + 2*p - p**4 + 0*p + 3*p**4 in the form m*p + v*p**4 + g + z*p**2 + q*p**3 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) 2\/11 (c) -47334\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-1) + (3 - (-492)\/(-72))\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b + 16 = 11*b. Let n be (0\/2)\/b - -2 - 0. What is the second derivative of 4*t + t - 2*t - n*t - 23*t**4 wrt t?\nAnswer: -276*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 6}. 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 closest to -3583 in 620, 3, -1\/7, 4?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 3*l = 2525. Suppose 6*m - m = l. Suppose -2*i + j = 51 - 228, -i - 2*j = -m. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -628 and 86.\nAnswer: -542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2230 + -152105?\nAnswer: -154335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9233502?\nAnswer: 2, 3, 1538917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*o = 20*o - 135 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 3*p - 240 = -5*i, -4*i - 5*p + 175 = 0. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 62 + -54. Let b(j) = -11*j - g*j + j - 6*j. Let n(x) = -17*x + 9*x + 10*x. What is n(b(q))?\nAnswer: -48*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - -2 - (-2 + 8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*c + 9*c - 32*c + 4*c + 2*c.\nAnswer: -6*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 849?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -123220115 (base 6) to base 14\nAnswer: -465ac7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -9269296, -18538589, -27807880, -37077169, -46346456, -55615741, -64885024?\n\"Answer: i**2 - 9269296*i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.7 - -141.7. Let w = -286310.973 + 286450.973067. Let f = w - b. Round f to 5 dps.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3521 - -2768. Suppose -3*z - w = -22*z. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 2 = -d, -2*g + 1 + 3 = -4*d. Let v be d + 1 + 1\/1. Suppose v*y = 4*y - 4. Solve 1 = a + y for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 6, r: 4, k: 2, e: 4, d: 4}. Give prob of picking 3 e and 1 d.\nAnswer: 16\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.2 + 3.8. Let b = 57 - 58. What is the closest to 0.13 in 3\/5, l, b?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -8*l + 8. Let r(s) = 9*s - 7. Calculate 2*m(b) + 3*r(b).\nAnswer: 11*b - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*h**3 + 209*h**2 - 421*h**2 + 212*h**2.\nAnswer: -2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-16)\/40 - (-29)\/35. Sort 5, -0.5, s in decreasing order.\nAnswer: 5, s, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 630 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a = -2*o - 1, -5*o + a = -111794 + 111803 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*w**3 + 9*w - 9*w)*(-1 - 1 + 4)*(2*w - 3*w + 3*w)*(3 + 0 - 1).\nAnswer: -40*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rxrrrdrrrxrdxd. What is prob of picking 1 r, 1 d, and 2 x?\nAnswer: 72\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Solve -1484*o - 8298*o + 204229 - 130376 + 356555 = 0 for o.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-40)\/3*(-120)\/32.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -153245 or -153244?\nAnswer: -153244","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -115\/210464112 and -55\/78924042?\nAnswer: 631392336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 + 2 - 3)\/(-1). Suppose -4*j + 460 = 4*r - f*j, 2*r - 4*j = 230. Calculate the greatest common factor of 23 and r.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 3 and -7562841269823.\nAnswer: -7562841269820","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g = 8 + 4 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 77 = 158. Suppose -70 = 5*y - f - 185, 0 = y - 5*f - t. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -196 - -215.8. Let s = -0.2 + w. Let n = -19.59834 + s. What is n rounded to 4 dps?\nAnswer: 0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 34, -0.328, 0.4, -1\/11 in descending order.\nAnswer: 34, 0.4, -1\/11, -0.328","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -141.91 rounded to the nearest ten?\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 13*z. Let b be (-1590)\/(-195) + 2\/(-13). Let i(t) = b*t + t - 7*t. Give i(y(u)).\nAnswer: 26*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -104\/7 (b) 8 (c) 5\/3 (d) 0 (e) -0.1 (f) 178\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 7c (base 14) to base 9\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxrr when four letters picked without replacement from {x: 2, r: 11}.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 + 5 - 4)*(0*o**3 + 0*o**3 + 3*o**3) + o**3 - 4*o**3 + 2*o**3 + (21*o - 5*o + 4*o)*(-o - o**2 + o).\nAnswer: 12*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 7*o**2 + 2*o - 1. Suppose 3*w - 2*x = 9, 4*w = 6*w - 3*x - 11. Give f(w).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q + 14. Let o = 34 - 36. Let x(h) = 2*h - 5. Let d be x(o). Give w(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37649 is divided by 542.\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(3) + -1))**2 - (sqrt(24)\/sqrt(4) - sqrt(6))\/sqrt(2) - ((sqrt(300)*-2 + 5)*-5)**2.\nAnswer: -30525 + 4950*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 270, 981.\nAnswer: -5, 270, 981","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.0006 - 0.0264. Let x = 0.01738 - 0.04459. Let n = x - j. Round n to 4 dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 28830?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 3, l: 5}. What is prob of picking 3 l?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -24*j + 10 - 5\/2*j**2 = 0.\nAnswer: -10, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 36*z - 9. Let r be h(5). What is the greatest common factor of r and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (3 + -2 + sqrt(288))**2 - (sqrt(6)\/sqrt(3)*-4 + sqrt(2) + -2*sqrt(4)\/sqrt(2)).\nAnswer: 29*sqrt(2) + 293","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2899759207 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 - 4. Suppose 6*u - 5 = r*u + 5*h, -2*h = 10. Let o(t) = -3*t - 7. What is o(u)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*k**3 - 91044441*k**2 + 546266727*k - 819400131.\nAnswer: -3*(k - 3)**2*(k + 30348153)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1512 - -2624. Suppose -20*k + o = -488. Calculate the smallest common multiple of k and 4.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -14\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1.4, 6, -2\/449?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 864 from 1.\nAnswer: -863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2316, -2213, -2110, -2007?\nAnswer: -1904","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 29693 and -0.01.\nAnswer: -296.93","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b**2 + b - 1 - b**2 - b**2)*(0*b - 4*b + 2*b).\nAnswer: 4*b**3 - 2*b**2 + 2*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-9)\/12)\/(-1)*-16. Suppose 73 = -3*b + 28. Is (3112\/d)\/(10\/b) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/18 + (21489\/(-936) - -23).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is n in 8*n**3 - 18*n**2 - 6*n + 20 = 0?\nAnswer: -1, 5\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -4, 25, 104, 257, 508, 881?\n\"Answer: 4*p**3 + p**2 - 2*p - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, u: 1, i: 2}. Give prob of sequence uip.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.338 + -1.2611. Let p = j + -0.0825. Round p to 2 decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from {s: 4, m: 2, n: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 + -4. Suppose -3*s + 387 = 3*o, 4*s - 385 = -3*o + u*s. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1456428 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 685330.7 centuries in years?\nAnswer: 68533070","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 167 divide 165163?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/155, 3, -4, -1, -2\/9?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p. Let l(x) be the second derivative of 19*x**3\/6 + 6061*x. What is -l(k) - 6*o(k)?\nAnswer: -13*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 18 - 8. Let g = f + -9. Let r(d) = d. Let n(v) = -v**2 + 2*v. Give g*n(w) - 2*r(w).\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the second derivative of 0 + 1\/12*p**3 + 1\/8*p**2 + 1\/48*p**4 + 23*p. Factor a(l).\nAnswer: (l + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.4 - 0.3. Let d = -89\/63 + 14\/9. Let t = -0.09 + 4.09. Which is the closest to j? (a) d (b) 0.2 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.9, -0.4, -359, 7, 3\/5.\nAnswer: -359, -1.9, -0.4, 3\/5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 3*l - 36 = 0, -3*t - 5*l = -2*t - 31. Suppose -5*g - 4 - 6 = 0. What is the remainder when 2 - (-5)\/g*-24 is divided by t?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10583*f**2*o**3 - f**2*o - 24*f**2 - 9926*f*o**4 - 6*f*o - f - 51*o - 1 wrt o.\nAnswer: -63498*f**2*o - 119112*f*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -4*b**3 + 5*b**2 + 2*b + 2. Let q(o) = -o**3 + o**2 + o + 1. Let n(s) = -2*q(s) + y(s). What is the third derivative of n(w) wrt w?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6467 is divided by 147?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 520 or 550?\nAnswer: 550","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 323*i**3 + 8*i**2 + 5*i + 4. Let j(h) = -968*h**3 - 22*h**2 - 14*h - 11. Calculate 4*j(a) + 11*t(a).\nAnswer: -319*a**3 - a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 130160?\nAnswer: 2, 5, 1627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5\/20 - 7\/(-4). Suppose 13 = 5*n - d. Is n bigger than 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -3*p + 23, 2*p - 3*p + 1 = 2*n. Suppose -5*i - 42 = -147. Calculate the remainder when i is divided by p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the second derivative of -3761*g**6\/30 - 280*g**4 + 1785*g. What is the third derivative of f(i) wrt i?\nAnswer: -90264*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**4 + 4316046*c**3 + 2328503579712*c**2 - 30271275952424*c.\nAnswer: 2*c*(c - 13)*(c + 1079018)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6 + 5)*7 + (-2 - -17) - -49. Solve 13*p - 8 = v for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 5, 1, -165, -3 in increasing order.\nAnswer: -165, -3, 1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = 2*h - 22, 5*h = -v - 2*v + 39. Suppose 2*s + 2*s - v = 0. Suppose -3*l - s*l + 170 = 0. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-57)\/(-15) - (-8)\/40. Factor -5*i - 11 + t*i - 4*i + 15*i**2 + 5*i**3 - 4.\nAnswer: 5*(i - 1)*(i + 1)*(i + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**3 - 2*u**2 - u. Let i(l) = -4*l**3 - 4*l**2 - 9*l. Let a(m) = m**3 + m**2 + 2*m. Let d(k) = -9*a(k) - 2*i(k). Calculate -c(n) + 4*d(n).\nAnswer: -3*n**3 - 2*n**2 + n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 1\/100 (b) 4 (c) -15\/4 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 26 - 4 - 8*c**2 + 4 + 21*c. Let t(x) = -3*x**2 + 7*x + 9. Let d(s) = -4*h(s) + 11*t(s). Calculate d(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*c - 6*c = 84. What is the least common multiple of 4\/(-6) - (-8)\/3 and c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.338675 to 1 dp.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*y = -y - 8 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -3 * -50.49141\nAnswer: 151.47423","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*60749.\nAnswer: -364494","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 - 2ccb29?\nAnswer: -2ccb2d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -22, -22, -32, -58, -106?\nAnswer: -182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 2 d when four letters picked without replacement from {d: 5, f: 3, i: 3}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.4 (b) 0 (c) 4\/7 (d) 19 (e) 6 (f) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x = -v - 1 - 1, -v - 5*x + 19 = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 69875 and 34099?\nAnswer: 559","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 35\/252 - (44\/18)\/11.\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the second derivative of 0 - 1\/6*s**4 + 0*s**2 - s + 5\/6*s**3. What is the second derivative of t(q) wrt q?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1142303 + -783265. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 16*b*m*p**2 + 7*b*m*p - 2*b*m*w**2 + 5*m - 2*p**2*w**2 + 10*p**2 wrt b.\nAnswer: 16*m*p**2 + 7*m*p - 2*m*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:35 AM and 3:18 PM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2\/15 (b) 0.3 (c) 33\/4 (d) 4 (e) -4 (f) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u + 5*w = -u - 10, -16 = 4*w. Let v = 1797.3 + -1802.2. Which is the nearest to v? (a) -3 (b) 0.5 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 32*v**2 + 404*v - 156.\nAnswer: 4*(v + 13)*(8*v - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -492*o - 35241. Determine t(-72).\nAnswer: 183","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m. Let u(d) = 3*d**2 - 1292227*d - 3. Determine i(u(h)).\nAnswer: 3*h**2 - 1292227*h - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -95\/12 and (-26900)\/(-6825) - (-2)\/13.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 3 k when four letters picked without replacement from xkvkvxxvkkv.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 2*r - 26. Calculate a(15).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 99 and 257224.\nAnswer: 2315016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/(-6) + 2764\/6. Let v be (-4)\/(-14) + y\/7. Suppose -2*g + 54 = -0*g - u, 5*u - v = -2*g. Is g a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 3 (b) -1\/8 (c) -10 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 1021839?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c = -c + 5. Calculate the remainder when 8 is divided by c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (41 + -26 - (33 + -5)) + (-2 - -75)\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.2 (b) -0.07 (c) 1\/3 (d) -2 (e) -1\/11 (f) 3\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 271*v**5 - 29459*v**4*z**2 + v**2 + 3272692*v*z**2 + 2*z**2 wrt v.\nAnswer: 16260*v**2 - 707016*v*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a - 14 = 2*a - 3*u, 0 = 4*a + u - 1 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**3 - h**2 + 2*h + 3. Let s be x(-3). Solve 0 = -2*p + 3*j - s, 5*p - 3*j + 9 = -5*j for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/2157065 and 43\/376339.\nAnswer: 88439665","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**3 - 3*d**2 - 2*d - 4. Let u be s(-3). Let t be (-1 - (-6 + 7))\/(u\/1). Sort -5, 1, t, 2 in ascending order.\nAnswer: -5, t, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**3 + 6*k**2 + 5*k - 8. Suppose 0 = -n + 5*q + 32, 5*n - 5*q = -0*q + 80. What is the remainder when l(6) is divided by n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i + 72 = -3*i. Let g be (8\/i)\/((-2)\/(-6)). Let p be 6\/32*(-4)\/6. Which is smaller: g or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 593 and 28 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(486) - (sqrt(486) + (sqrt(486)*-2 - sqrt(486) - sqrt(486)))) + 1*sqrt(150))\/(sqrt(320)\/(sqrt(640)*-2 - sqrt(10))))**2.\nAnswer: 1457427\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z - 19 = 1587*p - 1581*p, 4*p + 53 = 3*z for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 7*z - 16. Suppose 15*v = z*v + 90. Let t(c) = 6 + v*c - 11*c - 1. Calculate t(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in fifteen quarters of a microgram?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/102168 and 41\/440.\nAnswer: 510840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/((-2)\/(-10)) + -1. Let q(u) = -u + 8. Let l be q(d). Calculate the greatest common factor of l and 112.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 247941 is divided by 1127.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 - 145362261?\nAnswer: -145362262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 16ac + -4?\nAnswer: 16a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjw when three letters picked without replacement from wcccccccccjjcc?\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (9846\/(-1035) - (-22)\/(-253))*-1. Determine u so that -8\/3 - 14\/15*u**2 - y*u = 0.\nAnswer: -10, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.23 + 16.23. Let u = h + -20. What is the second smallest value in u, 2, 1\/3, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44867 + 16646 = -75*z + 1294029. What is z rounded to the nearest ten thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 3 - 2*w + (-4*w + 0*w + w)*(-3 + 4 + 2) to c + p*w and give p.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 - -12. What is the closest to 0 in m, -1, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the third derivative of -h**4\/24 - h**3\/6 - h**2 - 21*h. Let q be r(2). Which is the nearest to -1? (a) -1\/4 (b) q (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 623*w**2 - 3 - 643*w**2 + 3. Let x(c) = -4*c. Calculate s(x(j)).\nAnswer: -320*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -699 + 701. Let m = 2.2 - 0.2. What is the closest to m in -5, u, 0.2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-5)*((-2910)\/(-194))\/(8\/60).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + w)*(-3*w**3 - 2*w**3 + 3*w**3 + (3*w**2 - w**2 + w**2)*(-2*w + 2*w - 2*w)).\nAnswer: -8*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(0 + 3 + ((-5 + -3 + (sqrt(432) + sqrt(432)*1)*2)*-2)**2 + 5).\nAnswer: -27912 + 3072*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34618 divided by 4.\nAnswer: 17309\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 18 + -13. Suppose 1 = -2*k + m. Let z be 330\/20 - k\/(-4). Solve 4*s + 25 = 3*b, -z = 2*b - b + 5*s for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 54 = 12*o - 14*o, -7*o = -4*w - 177. Solve s + 8 = 4*v, 137*s = 3*v + 132*s - o for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(-3) + 11*1\/(-3). What is the third biggest value in 0.3, -2, g, 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.047544188+0.07\nAnswer: 0.117544188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-326)\/(-978))\/((-1)\/(7\/(-1)))?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m + 8*q - 13*q = -27, 0 = q - 5 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.2 and -1841688.\nAnswer: -1841688.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 450*n**5\/7 - 2670*n**4\/7 - 3172*n**3\/7 - 1284*n**2\/7 - 222*n\/7 - 2 = 0.\nAnswer: -1\/3, -1\/5, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 82763451 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*g - 75 - 681. Suppose -12*h - g = -16*h. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6266 - 56398\/9. Which is the biggest value? (a) u (b) 3 (c) 111\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(143)\/(sqrt(55)\/sqrt(5) + sqrt(11)))**2.\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 14979 and 559216.\nAnswer: 1677648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(2662) + (sqrt(2662) - sqrt(2662)*1))\/(sqrt(2) - (-1*sqrt(288) - sqrt(288))).\nAnswer: -66*sqrt(11)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 4*q + 2. Let d(h) = -5*h - 3. Let c be (4\/18*3)\/(4\/18). Let r(o) = c*p(o) + 2*d(o). Let m(j) = -3*j. Determine r(m(i)).\nAnswer: -6*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -329182313.3 + 9.\nAnswer: -329182304.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -524*f + 398*f + 378 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*v, 13 = 5*q + v - 2*v. Let c(t) = -587*t + 600. Let r be c(1). Solve 16*g - r*g + q = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6852*c - 1099*c**3 - 13709*c + c**2 - 2 + 6858*c + 0*c**2 to the form d*c**2 + q*c + j*c**3 + p and give j.\nAnswer: -1099","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Do -3136\/293 and -12 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 32744*p**2 + 2*p + 1. Let b(m) = 3*m**2. What is g(b(d))?\nAnswer: 294696*d**4 + 6*d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 55*n - 34*n + 149*n + 3 - 47*n.\nAnswer: 13*n + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -2300634 equal to -2300588?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from apcwc. What is prob of sequence pc?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -400000 rounded to the nearest one hundred thousand?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y - 16 = 3*c, 3*c - 29*y + 30*y + 11 = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 150552 and 50922?\nAnswer: 3462696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the second derivative of z**3\/6 - 3*z**2\/2 + 18*z. Let u be d(-4). Let w(r) = -6*r**3 + r**2 - 10*r - 24. Is w(u) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -2*c + 7*c. Let k(x) = -c*x + 2*x + 4*x - x. Let l(o) = -3*o**2. What is l(k(f))?\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.35 + -48.25. Let m = y + 49. Sort m, -0.2, -5, -4 in ascending order.\nAnswer: -5, -4, -0.2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbbf when four letters picked without replacement from bffffbfffffffffb?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*i**3*u**3*y - 4526*i**3*u**2*y - 6*i**3*u*y - i**2*u**2*y - 19359*u**3*y wrt u.\nAnswer: 36*i**3*y - 116154*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8468 - 8471. Sort w, 3, -60, 1\/3 in descending order.\nAnswer: 3, 1\/3, w, -60","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 119.6 - 99. Let k = -8.5 + x. Let s = -12 + k. Is s != 28?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76)*-1)**2 + -1 + -5 + -1.\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -94, -66, 12, 164, 414, 786, 1304, 1992?\nAnswer: 2874","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -110*a + 2534. Let i be l(23). Solve 0 = 7*w - i*w + y - 11, w + 2*y = 7 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i - 15 = 8*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/(-2)*0*(-1 + 0). Suppose -7 + 3 = m, x = 4*c - 2*m - 3328. Suppose 4*r = 2*r + c. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 66 + -66.15. Which is the closest to z? (a) 4\/5 (b) -2\/5 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -2*d**3 + 42*d**2 + d - 14. Suppose j - 25 = 2*q - 0*q, 2*j - 2*q - 46 = 0. Let b be o(j). Let g(z) = -z**2 + 5*z - 8. What is g(b)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qggqggqggqqqg. What is prob of sequence qg?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 62828460433 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the first derivative of -g**2\/2 - 10*g - 8. Let o be f(-16). Let i be (-10)\/5 + (o - -1). Solve -a = 2*t - 4, i*a - 5 = t - 18 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -492 - 15*s**3 + 492.\nAnswer: -15*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 + -9. Suppose -2*a - n + 7 = 0. Suppose -a*r = 2*r - 85. What is the remainder when r is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oooooohohhoohh. What is prob of sequence hooo?\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 17099997 = 3*y, 5677201 = -2*y + g - 5722798. What is y rounded to the nearest one million?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 267 and 33 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00007128 rounded to 6 decimal places?\nAnswer: 0.000071","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 498 and 2966254?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6\/49 + 80\/147. Which is the second biggest value? (a) u (b) 0 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12 + 11. Let y be 3\/p - 35\/(-5). Suppose -3*c - c + 192 = y*a, a - 4*c = 73. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 36*w**3 - 55*w**2 - 52*w**3 + 23*w**2 + 27*w**3 wrt w.\nAnswer: 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -24 - -23.999999. Round n to 6 dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/(-9)*((-2)\/2 + -614). Let w = r + 373. What is the highest common divisor of w and 70?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-16)\/24 - 1\/(-3) - -1\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1.02 from -20040061700.\nAnswer: -20040061701.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*u - 300 - 276. Calculate the remainder when 63 is divided by u.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 60591*c - 890*c**2 - 30291*c - 30300*c in the form p + k*c**2 + q*c and give k.\nAnswer: -890","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -28 or -165351\/5687?\nAnswer: -165351\/5687","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -4392 (base 11) in base 8?\nAnswer: -13234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/21 and -29\/816.\nAnswer: 5712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/((-15)\/(-6))*(-120)\/132.\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 divided by -1?\nAnswer: -584","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-40)\/(-70) - 6*71\/280 and 61\/18.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z + 51245 = 51251. Solve 3*t = z - 4 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*v - 180 - 80 = 0. Calculate the remainder when 28 is divided by v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(2*sqrt(1053))**2 + 0.\nAnswer: -16848","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 (base 10) in base 9?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 44924 by -4084.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.046104 minus 3609271049?\nAnswer: -3609271048.953896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 2*k - 6*k. Let s = 13 + -13. Suppose s = 4*v - k, v + 0*v - 1 = -5*o. Solve 0*z + 6 = -3*z - 2*u, -u = o for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*h - 51*h = 0. Suppose h*p + 4*v = 5*p - 2003, -4*v + 1189 = 3*p. Does 19 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -0.043 and -0.1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hngsnxnnsssnsnh. Give prob of picking 2 h and 1 x.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 12\/4867 (b) 2 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10000101101001010010010 - 1111?\nAnswer: -10000101101001010100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1768\/(-5746))\/(-1295 - 1\/(-1)). Is 0 bigger than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -993*u**3 - 845*u**3 - 1168*u**3 - 15*u**2 + 10*u**2 + 868*u**3 as h*u**2 + b*u + c*u**3 + m and give c.\nAnswer: -2138","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/(192\/266) + -16?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*b - 34*b**3 + 53*b**3 + 0*b.\nAnswer: 19*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-42)*-3)\/((520\/28)\/13).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the first derivative of f**4\/4 + 4*f**3\/3 + 5*f - 18. Let w be i(-4). Suppose -5 = -w*c + 50. What are the prime factors of c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4299725ml to litres.\nAnswer: 0.0004299725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + o + 3*o + 90223 = 0. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -830 >= -830?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5681 and 133?\nAnswer: 39767","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times -0.29\nAnswer: 0.029","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -9188 or -9189?\nAnswer: -9188","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*b - 5*b + 5*b.\nAnswer: 14*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in -81, 1\/3, -5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 216870 and 15448373.\nAnswer: 7229","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12 and 28.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l - 8. Let a = -5 + -3. Let r be n(a). Suppose i - 2*v - 169 = 0, 2*i = -r*v - v + 333. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -2*n**3 - 34*n**2 - 1395*n - 21830. Determine b(-16).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24170, 96905, 218166, 387983, 606386, 873405?\nAnswer: 1189070","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 6*o = -519. Let b = 112 + o. Is -61 equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the second derivative of t**5\/20 - t**4\/3 - t**3 + 25*t**2\/2 + 93*t. Let n be u(3). Let w = -0.2 + -2.8. What is the closest to n in w, 0.4, 5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -11*r - 2. Suppose w + 39 = 187. Let n = w + -128. What is the smallest common multiple of x(-2) and n?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 20 = 83*f - 78*f, -2*f - 3*j = -8. What is the least common multiple of 8 and f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 0 + sqrt(50) + 2)**2.\nAnswer: 40*sqrt(2) + 66","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddwddjddv. Give prob of picking 1 v, 1 w, and 1 d.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2\/24485 - 146192\/8790115. Let n = p - -407\/2872. Factor -1\/4*x + 0 + n*x**2.\nAnswer: x*(x - 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*n + 0*n - 3*n)*(3 - 3 + 1) - 537*n - 210*n + 231*n.\nAnswer: -515*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4140*v = 4853*v - 65596 for v.\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1458731 is divided by 86.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 - 1440\nAnswer: -1440.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h + 138*y = 143*y + 20, 3*h - 4*y = 9 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -127\/252 and 41\/27.\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1704721 - 15?\nAnswer: -1704736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 122*r**4*w - 186*r**2*w wrt r.\nAnswer: 2928*r*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = 33 + 7. Suppose 13*a = 10*a + 12. Suppose -5*y - a*z = -55, 3*y - 49 + 9 = -z. What is the remainder when y is divided by k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3483)\/20898 - (-2)\/228?\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 56, 59, 58, 53, 44?\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ird when three letters picked without replacement from iridvrsv.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n and 1 a when four letters picked without replacement from nnaannnannnnnn.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve c - 15 = -2*g, 4*g = -5*c + 9*c + 36 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -7.3 and -14451?\nAnswer: 105492.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve c = -2*k + 8, -4*k - 34*c + 38*c - 80 = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 6*f**2. Let x(t) = 2*t**2 + 805. What is x(o(b))?\nAnswer: 72*b**4 + 805","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 150*d + 940. Give h(-7).\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 41.95 + -38.4. Let j = -3.25 + t. What is the closest to -4 in 1, -2\/23, j?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.4 in 1\/3, -0.9, 2\/43?\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0.1, 1, -1\/12176 in decreasing order.\nAnswer: 1, 0.1, -1\/12176, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 260251?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2298184, -9192642, -20683406, -36770476, -57453852, -82733534?\nAnswer: -112609522","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 67, 247, 547, 967, 1507, 2167, 2947?\n\"Answer: 60*g**2 + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the second derivative of 19*a**8\/56 - 7*a**4\/4 + 24*a. What is the third derivative of c(q) wrt q?\nAnswer: 2280*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 10*s + 6. Let h be u(6). Calculate the greatest common factor of h and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11 + -8. Suppose 0 = 3*m - 3*s - 5 - 13, 4*m - 26 = w*s. Let a be 22\/m - (0 + 2). Sort a, -5, -0.2.\nAnswer: -5, -0.2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -2\/21125695?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -2436, -2437, -2438, -2439?\n\"Answer: -k - 2435","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(156) - -1*2*sqrt(156))*1)\/((sqrt(72) + -2*sqrt(72))\/sqrt(6) - (sqrt(768) + 2*sqrt(768))).\nAnswer: -1 - 3*sqrt(13)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/((-40)\/24))\/(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4439777 to the power of 1\/2, to the nearest integer?\nAnswer: 2107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 29864\/11 or 2714?\nAnswer: 29864\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 - -0.98. Let r = y - 0.38. Let i = 2\/49 - 104\/147. Put i, 3, r in decreasing order.\nAnswer: 3, r, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3 - (-3 + 5*1100). Round k to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from {y: 3, m: 9}.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 121428 is divided by 736?\nAnswer: 724","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the third derivative of 8*b**7\/105 + 7*b**5\/30 - 13*b**2. What is the third derivative of f(q) wrt q?\nAnswer: 384*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 10 = 0, 0*t - 10 = -d - 4*t. Suppose -2*f + 4 = 6. Let o = d + f. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 + 33. Let j = 105 - t. What is the remainder when j is divided by (8\/4)\/(-2) + 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 242462 - 242462 + 7*m. Let a(k) be the third derivative of 0*k + 0*k**3 + 4*k**2 + 1\/6*k**4 + 0. Give a(c(p)).\nAnswer: 28*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -233132 (base 4) to base 10\nAnswer: -3038","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 1)*(-3*f**2 + 2*f**2 + 2*f**2) - 1 + 3*f**2 + 1 + (-11 + 8*f + 1 + 9)*(-2*f - f + 5*f).\nAnswer: 21*f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 3*d - 7. Determine x(6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 19 - 9 = 0. Factor 0 - 1\/2*g**4 - 1\/2*g**h + 0*g + g**3.\nAnswer: -g**2*(g - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t\/(t\/t**19)))\/t)\/t**(-10) assuming t is positive.\nAnswer: t**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -18 - -14. Let r be (o\/3344)\/(15\/(-159)). Let y = r + 3\/220. Is 0 <= y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3302 (base 4) in base 14?\nAnswer: -134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c - 1. Let p(s) = -2*s**2 - 6*s + 1. Let v(r) = -6*d(r) + p(r). What is the first derivative of v(q) wrt q?\nAnswer: -4*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/11 (b) 2.9 (c) -1 (d) 6 (e) 1\/2 (f) 0.58 (g) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**2 - 6*p + 4. Let l be 1 + 7 + -2 + 0. Does 4 divide c(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90499 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(51)*-6*-2)\/((sqrt(3) - sqrt(6)\/(sqrt(2) + (sqrt(8)\/sqrt(4) - sqrt(2)))) + sqrt(21)\/(sqrt(28)\/sqrt(4))))**2.\nAnswer: 2448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 20*g + 17*g - 61*g + 3*g**4 wrt g?\nAnswer: 36*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4480000046?\nAnswer: 2, 7759, 288697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2.5? (a) -2 (b) 4 (c) -0.1 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -30*p - 129 + 99 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:16 AM and 6:38 PM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 134456200 and 1220?\nAnswer: 1220","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 169 + 175 - 344 - 77*v - 41*v.\nAnswer: -118*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15 - 4. What is the highest common factor of 11 and z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:40 AM and 9:28 AM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 29360 and 7340.\nAnswer: 29360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the second derivative of -1031*b**6\/10 - 2*b**4\/3 - b**3\/6 + 16*b**2 - 7*b - 4. Find the third derivative of v(j) wrt j.\nAnswer: -74232*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -858544*g**2 - 2*g - 1712027 wrt g?\nAnswer: -1717088","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 17*l + 2. Let p = -8 + 10. Let w be v(p). Calculate the highest common divisor of w and 90.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w - 4*b = -4, -2*w + 441*b = 445*b + 26 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*i = -12740 + 692. Suppose -a + x = -243, 2*x + i = 3*a + 273. Is 15 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.5, -0.2, 2884, -21, -2\/11, 0?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxxggxgxgggkgxgggxgg. Give prob of picking 3 g.\nAnswer: 11\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-54*d - 95*d + 109*d)*(1 - 1 + d**3 + (5*d + 2*d**3 - 5*d)*(-1 + 0 + 2)).\nAnswer: -120*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v\/v**(2\/3))*v)\/((((v\/v**(3\/11))\/v)\/v)\/v)*v\/((v\/(v*v\/(v\/v**(3\/7))))\/v)*v\/v**(-8) assuming v is positive.\nAnswer: v**(3550\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 (base 3) in base 13?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27047 is divided by 196?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001667555 to 6 dps.\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17.9 - 18. Sort -4\/5, i, -5 in descending order.\nAnswer: i, -4\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 110 + -91 + (-3 - 4)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -15 + 36. List the prime factors of l.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59795 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/46 and 33\/10.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -5, 0, 2642, 6, 2 in decreasing order.\nAnswer: 2642, 6, 3, 2, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 18020*h**3 - 348991*h + 1.\nAnswer: 108120*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16 and 4576.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 75\/2 of a kilogram?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the second derivative of -c**3\/2 - c. Let j(y) be the first derivative of 11*y**2 - 13790. Calculate j(v(l)).\nAnswer: -66*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -489.1422 to 0 decimal places.\nAnswer: -489","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -2*o**5 + 320*o**4 + 18*o**3 - 2888*o**2 + 1256*o + 3840 = 0.\nAnswer: -3, -1, 2, 160","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -4615*f + 4617. Let o be l(1). Suppose 7\/4*z**o + 1\/4*z**4 - 3\/2*z**3 + 3\/2*z - 2 = 0. Calculate z.\nAnswer: -1, 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 79989634 and 11890351?\nAnswer: 879885974","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the third derivative of q**4\/4 - q**3\/6 - q**2. Let v be o(1). Suppose v*s + 3*i = 66, 0*i = 4*s - 4*i - 72. Is 15 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3b (base 15) to base 5\nAnswer: -211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 28055947 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 16780 times -0.4\nAnswer: -6712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (1 - -1) - -4\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c**(-5)\/c))**(7\/6))**20 assuming c is positive.\nAnswer: c**(490\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -839*w + 3048*w - 1010*w.\nAnswer: 1199*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6330\/(-4009) - (-1464)\/1216?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 26\/4) + 1075\/1150*23.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 23 (b) -3 (c) 5 (d) 3 (e) -123\/7 (f) 2 (g) 2\/3\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1201, -4789, -10751, -19081, -29773?\nAnswer: -42821","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1143620?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l - 3*r - 390, -r = 5*l - 665 + 33. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**3 + 69*t**2 - 199*t + 80. What is w(66)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 45*v**3 + 1977315*v**2 - 1074906640*v + 145193689280.\nAnswer: 5*(v + 44479)*(3*v - 808)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddz when three letters picked without replacement from {z: 4, d: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 2 z when three letters picked without replacement from {z: 4, s: 2}.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**3 - 8*j**2 - 15*j - 11. Let h be m(-7). Calculate the greatest common factor of h and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -d*f**2 - 418703242*d*z - 146428*f**2*z + 616 with respect to d.\nAnswer: -f**2 - 418703242*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -152 + 68 - z + 66 + 27. Give h(20).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the second derivative of 5*q**4\/12 - 25*q**3\/2 + 135*q**2 - 2*q + 516. Find d, given that k(d) = 0.\nAnswer: 6, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35908 to the power of 1\/2, to the nearest integer?\nAnswer: 189","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15 (base 9) to base 4.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -35*m - 43. Determine v(-5).\nAnswer: 132","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 3633*y + 46. What is the units digit of f(4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**3 - 20*k**2 + 260*k + 11. Let x be z(9). Solve 3*v - 10 = -x*a, 8*a - 5*a + 4 = 5*v for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 718815 and 457050.\nAnswer: 4155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 116 and -0.157?\nAnswer: -18.212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of a**2*g**3 - 2*a**2*g**2*w + 19*a**2*g*w + 23380*a*g**3*w - 44*a*g**3 - 132*a*g**2 - a + 1174*w wrt g.\nAnswer: 6*a**2 + 140280*a*w - 264*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10168439 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 680?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22 - 27 - -19 - -34.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*i**3*p + 285*i**3 + 2074*i*p wrt i.\nAnswer: 24*i*p + 1710*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -55\/2, -4, -26?\nAnswer: -55\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -2779 (base 14) to base 15\nAnswer: -20e7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 51 + (-21380)\/420 - (0 - 0).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 36 and 1476?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -2*p**3 - 171*p**2 - 66*p + 1625. Give s(-85).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add together -101080.047 and -1.8.\nAnswer: -101081.847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2010 - 10?\nAnswer: 2000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*t - 4*t = 0. Suppose -2*v - 2*a + 0*a + 538 = t, 274 = v - 4*a. What are the prime factors of v?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -4*r - 20. Let w(l) be the second derivative of -l**3\/3 - 5*l**2\/2 + 4*l. What is the units digit of w(r)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 703.2127ug to grams.\nAnswer: 0.0007032127","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 13*k - 12*k. Calculate the remainder when k is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/1190 and -83\/14.\nAnswer: 1190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -4 + 19*x**2 - 10 - 20*x**2 - 9 - 25*x. List the prime factors of g(-18).\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -208415*b**5 - 10*b**4 + 3*b**3 + 8814*b**2 - 2349*b?\nAnswer: -12504900*b**2 - 240*b + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 492 divide 780938?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 18 and 14166?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 140379 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.3? (a) -2\/19 (b) 2\/5 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 23839110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.2333388 - -0.23633. Round x to five dps.\nAnswer: 0.00299","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 30 + -28.3. Let g = m - 1.6. Let f = -4.06 - -0.06. Which is the nearest to -1? (a) g (b) f (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27164779 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 3*h - 17, -4 = -3*h + 4*x + 3. Suppose -4*v = -h*v. What is v rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l + 555 + 1123. What is the tens digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -163581*l**3 + 2 + 358*l - 16*l**5 + 163602*l**3 + 406*l - 79*l wrt l.\nAnswer: -320*l**3 + 126*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/((a*(a**(-3)\/a)\/a)\/a*a*a))\/a*a)**(5\/4)\/(a\/(a*a\/((a*a**(-6))\/a))*a**(-8)) assuming a is positive.\nAnswer: a**20","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1406711 (base 8) to base 6.\nAnswer: -12300441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r*(r*r\/(r**3*r))\/r*r)\/r**0)\/(r*r*r*r*r**(-1))**(-8)*(r**(-5)*(r**2\/r)\/r)\/(r\/(r*r**(-4\/5))*r**1) assuming r is positive.\nAnswer: r**(86\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 16*15\/240 + (2 - -2). Solve 4*s - t + 17 = 0, s + 4*t - z - 12 = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:46 AM and 8:30 AM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ss when two letters picked without replacement from sppppsppps.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(98))**2 + 3*(sqrt(98))**2.\nAnswer: 56*sqrt(2) + 408","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -271 + 280. Suppose -4*b + 13 = -z, 5 = -3*b + 4*b. What is the least common multiple of r and z?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30730589 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (6 + -5)*(9 + -3). Let v(r) = r**2 - 4*r - 6. Let m be v(u). Solve m*f - f + 10 = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20*a**2 + 11*a**2 + 11*a**2 + a**4)*((2 - 3 + 2)*(-2*a + 1 - 1) + 7*a - 8*a - 6*a - a - a + a) - 4*a**5 + 5*a**5 + 0*a**5.\nAnswer: -9*a**5 - 20*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24 (base 15) to base 12.\nAnswer: 2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c + 658 = g + 631, 8*c = g - 45 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 519, 5, 3.\nAnswer: -2, 3, 5, 519","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**3 - x**2 + 1. Let a(d) = -101*d**3 - 2*d**2 + 7*d - 16. Let q(f) = -a(f) + 6*t(f). Does 16 divide q(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2893564708?\nAnswer: 2, 97, 7457641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/125047 equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1006546 and 3065.\nAnswer: 5032730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.3227 * 81.\nAnswer: -107.1387","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(-5\/2)*f*f*f**(-3\/5)*f*f)**43 assuming f is positive.\nAnswer: f**(817\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -389*s - 4. Let v(k) = -277*k**2 - 34*k - 1. Determine b(v(u)).\nAnswer: 107753*u**2 + 13226*u + 385","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the first derivative of 13\/2*u**2 + 12*u - 1\/3*u**3 - 149. Calculate v(13).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**13*g)\/((g\/g**10)\/g*g))**(-47))**(4\/31) assuming g is positive.\nAnswer: g**(-4324\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 - ((-1128)\/264 - -25)?\nAnswer: 14\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14 - 12 + 6*y - 8*y)*(0 + 0 + 5*y).\nAnswer: -10*y**2 - 130*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 75676?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10811*p + 88274 = -121992 - 27576 for p.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -996, -8586, -29378, -69972, -136968, -236966, -376566?\n\"Answer: -1100*v**3 - v**2 + 113*v - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 0.4 (b) 0.025 (c) -1523\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + n = 16. Suppose 49 = -n*k - 835. Let d = 396 + k. What is the highest common factor of 25 and d?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/726 and -43\/33.\nAnswer: 726","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 - -1. Suppose -2*d + i*d = 0. Suppose -c - 36 = -4*s, -4*c - 14 = -3*s - d*s. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 229, -0.3, 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-112)\/12 + 3 + 6?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3817 is divided by 510.\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 22563.9 - 22564. What is the nearest to 1 in k, 11, -1\/4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**3 - 9*a**2 + 4*a + 45. Calculate c(8).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -533 + 1\/2*v + 533*v**2 - 1\/2*v**3 = 0.\nAnswer: -1, 1, 1066","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/4110 and 27\/95.\nAnswer: 78090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(25\/((-125)\/4)))\/1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 27*y - 34560 - 47256. What are the prime factors of y?\nAnswer: 2, 3, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1268744032.\nAnswer: 2, 23, 1723837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the first derivative of 41*x**2\/2 - 36. Let f(n) = -1 - 2 - 2*n + 3. Calculate f(l(q)).\nAnswer: -82*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 13 * 0.01.\nAnswer: 0.13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/36*(-6)\/(-8)*2.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 148 or 147?\nAnswer: 147","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 111 - 2*q**2 - 190 - 33 + 112.\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 7017672681?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*t - 3*t + 1707*t**2 + 3*t - 326*t**2 to the form c + q*t + s*t**2 and give s.\nAnswer: 1381","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4301 - 27345 = -4*g. What is the hundreds digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 362 a factor of 297241653?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -5 and 861?\nAnswer: 866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -4*w**3 - 6*w**2 - 12*w - 6. Let r(d) = 4*d**3 + 6*d**2 + 10*d + 5. Give -5*r(a) - 4*u(a).\nAnswer: -4*a**3 - 6*a**2 - 2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 150 + 50 = 4*h. Suppose 5*l - 5*b = 110, l - 5*b = -l + h. Calculate the smallest common multiple of l and 12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 338510 rounded to the nearest ten thousand?\nAnswer: 340000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r**2\/7 - 190200944*r\/7 + 9044099774622784\/7 = 0. What is r?\nAnswer: 95100472","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 100 - 86. Let f be y\/(-4)*((-26)\/(-14) - 3). Solve 3*n - 4*c = -c + 12, 0 = f*n - 5*c - 18 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15541.111 rounded to the nearest ten?\nAnswer: -15540","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -48 - (58 + -95 - -11)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24)\/(-9)*((-7)\/4)\/(-7)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 - 8. Let v be 1\/r - 13\/(-3). What is the highest common divisor of 44 and v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 0, 0 = -2*v + 3*m + 208 - 56. Is 19 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**2 + 15*k + 76. Let z = 12 - -1. What is the remainder when w(0) is divided by z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*d**2*w**2 + 4*d**2*w - 39152*d**2 + 5159*d*w - d + 18*w**2 + 1 wrt d.\nAnswer: 10*w**2 + 8*w - 78304","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:21 PM and 10:30 PM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z - 3. Let l be g(-5). What is the third derivative of -3*p**3 - 3*p - 2*p**l + 3*p + 7*p**3 wrt p?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -l**2 - 2293*l + 641340 = 0.\nAnswer: -2545, 252","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 73531136 a multiple of 64?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -73 - 53809*b**2 + 42 + 53.\nAnswer: -53809*b**2 + 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - 6 - (-17 - -17)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the first derivative of -h**4\/12 + 2*h**3\/9 - h**2\/6 - 2. Factor t(r).\nAnswer: -r*(r - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 435 - 94. What is the greatest common divisor of t and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 52 (b) 3 (c) 11475 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -0*o - 12. Suppose -4 = 2*s + 3*t, o*s - 3*t - 9 = 1. Solve s - 13 = 3*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 524780863 a multiple of 144?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (389 + 49 - 111)*((6*h**4 + 3*h**2 - 3*h**2)*(-3*h + h - 2*h) - 1 + 1 + h**5).\nAnswer: -7521*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -3\/11, 4, 8, 1, 6?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 11383 to the power of 1\/2, to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the second derivative of -s**4\/4 - 7*s**3\/2 - 89*s + 4. Let o(w) = 0. What is w?\nAnswer: -7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -2859*k + 8461. Determine h(3).\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - g**2 + 2 - 4.\nAnswer: -g**2 - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**8*p\/(p*p\/p**(1\/2)*p))\/(p*(p\/(p\/(p*p**(-2))))\/p)**(1\/9))\/((p\/(((p*(p**1\/p*p)\/p)\/p*p)\/p)*p)**2*((p*p**(-1)*p)\/p)**(4\/7)) assuming p is positive.\nAnswer: p**(47\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4 - 2)*-1 + 6. Let o(x) = 8*x + 74. Let a be o(12). Suppose 3*p - a = r. Does 27 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 + -3. Suppose 5*h + b = -b + 21, -2*h + 16 = -3*b. Differentiate d**o - h*d**2 + 2*d**2 - 3 wrt d.\nAnswer: -4*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 11 + 2 + 9*i + 9*i**3 - i. Let c be (-5 + 27 + 2)*(-2)\/(-6). Is f(c) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 386868579 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2 + 6 + (6 + -1 - 11). Sort -3, b, 31 in increasing order.\nAnswer: -3, b, 31","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 98*m*u**3 + 14*m*u**2 - 2*m*u + 30*m - u**3 - 97*u - 194 wrt m?\nAnswer: 98*u**3 + 14*u**2 - 2*u + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-28 + (-1545)\/(-60))\/(1\/((-4)\/(-6)))?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 828462653 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 28718.755 to the nearest one thousand.\nAnswer: 29000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(96)\/sqrt(4) + sqrt(24))\/sqrt(4))\/sqrt(3) + ((-3*sqrt(72)\/sqrt(4))\/sqrt(9))**2.\nAnswer: 2*sqrt(2) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -23*i**2 + 101 + 59*i**2 - 18*i**2 - 20*i**2 to the form p + h*i + c*i**2 and give p.\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7545242 micrometers to nanometers.\nAnswer: 754.5242","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 254 - 256. Let j(c) = -21*c**2 - 5. Let l(w) = -10*w**2 - 2. Determine p*j(t) + 5*l(t).\nAnswer: -8*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(19) - -3*-3*sqrt(19)) + (-2*sqrt(684) - sqrt(19)))**2.\nAnswer: 8379","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**4\/11 - 940*i**3\/11 + 108554*i**2\/11 + 445560*i\/11 + 449352\/11.\nAnswer: 2*(i - 237)**2*(i + 2)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.974583 tonnes to nanograms.\nAnswer: 974583000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -1. Suppose 5*r + 3 = 4*r. Let h = 48356 - 48357. Let m(g) = -g + 1. Calculate h*m(t) + r*j(t).\nAnswer: t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 81, 174, 267?\n\"Answer: 93*r - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10 - 0. Let v = -10 + s. Which is the biggest value? (a) -1\/3 (b) v (c) 6\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3 - (-38)\/10)*(-5)\/1. Sort 3, 0, f, -11.\nAnswer: -11, f, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bnb when three letters picked without replacement from {n: 1, b: 6, f: 10}.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pjppjjxjx. Give prob of picking 1 p and 2 x.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -102 (base 15) to base 5.\nAnswer: -1402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 9*m**2 - 5*m + 3. Let i be (-195)\/(-75) + 4\/10. Is c(i) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -5*i**2 - 10390*i - 5397605 = 0?\nAnswer: -1039","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**3 - 4*t**2 - 2*t + 2. What is d(-2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9 + 8.94. Let c = g + -9.44. Let w = c - -1.5. Is w less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-22 + 4*l - 5*l + 3*l)*(-2 + 0 + 0)*(-1 - 2 - 5 + (-4 - 2 + 5)*(-5 + 0 + 3)).\nAnswer: 24*l - 264","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 3347924, 4, -5, 8 in ascending order.\nAnswer: -5, 4, 8, 3347924","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l - 2*w + w - 7371, l + 4*w = 1830. Let v = l - 1057. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/(-1) - (-2 + 4). Let u = -7 + 6. Let a = 355 + -381. Put u, a, h in ascending order.\nAnswer: a, h, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a micrometer in nanometers?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*o**4 + 2*o**3 + 253*o**2 - 6172*o?\nAnswer: 36*o**2 + 12*o + 506","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minus 1463271.2?\nAnswer: -1463016.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -16 times 84\nAnswer: -1344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 + 111 = -4*o. Let s = o + 112. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3943?\nAnswer: 3943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -477383, -477352, -477323, -477296?\n\"Answer: -w**2 + 34*w - 477416","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17*v + 50 - 50 to b*v + d and give b.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 60.280965ns to hours.\nAnswer: 0.0000000000167447125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 19441231 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the second derivative of -16*c**6\/15 + 524*c**5\/15 - 16897*c**4\/54 - 2882*c**3\/27 - 121*c**2\/9 + 24*c + 12. Factor f(l).\nAnswer: -2*(l - 11)**2*(12*l + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = -5*x - 8, 0 = -96*n + 89*n + 4*x + 48 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -18 - -24. Suppose 0*f = t - 5*f + 5, 0 = -3*t - 5*f + 25. Suppose t*b = -r*b + 4*b. Solve -2*i + b*i - 4*d - 2 = 0, -d + 2 = 3*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2170 - 1081. Is 121 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.5, -4, -11, -2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -2*j**2 - j - 1. Let t be k(5). Let o = t - -170\/3. Let y = -69 + 70. What is the biggest value in o, y, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes after 9:59 AM?\nAnswer: 7:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -1 + 3 + (-5 + sqrt(1584) + -1 - (sqrt(1584) - (sqrt(1584) + 1 + 4))) + -2)**2.\nAnswer: 24*sqrt(11) + 1585","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04695 rounded to 3 dps?\nAnswer: -0.047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -55125, -55108, -55089, -55068, -55045?\nAnswer: -55020","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -829086 + 1181873. Let c = y + -2858191\/8. Let q = 4478 + c. Find the common denominator of -27 and q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 832102 to the power of 1\/3, to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 3*s**2 - s + 1. Let o be u(2). Let m(z) = z**3 - 11*z**2 + 4. Let n be m(o). Suppose a = -n*a + 160. Is 28 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-70)\/(-21)*(-18)\/(-4). Solve 2*w - 7*w = -t for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77 a factor of 16619908?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 2*j**3 + 109*j**2 + 194*j + 7587. Determine p(-54).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**3 - 5*v**2 - 7*v - 8. Calculate y(6).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 45\/3 + -5 - 0. Solve 0*y - 5*u = 2*y + w, u = -4*y + 16 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**2 - s + 4. Let a be b(3). Solve a*h + 21 = -9 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -2*t**3 - 7*t**2 - 6*t - 7. Let r(a) = -a**3 - 4*a**2 - 3*a - 4. Determine -4*g(q) + 7*r(q).\nAnswer: q**3 + 3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 271*q**2 - 102*q. Let a(j) = 1142*j**2. What is i(a(z))?\nAnswer: 353428444*z**4 - 116484*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -914 - -882. Is i <= -44?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 991625345?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k = -2*d + 22, -5*d = -1087*k + 1083*k - 44 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -61.943 (b) -1.3 (c) -5\/7 (d) -5\/2 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.3, 7, 1\/4, 7\/2, -1?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -832\/39651 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2305.68 + -2321. What is r rounded to zero decimal places?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 6*r - 709*r**3 + r**2 - 7*r + 2973*r**3 to the form k + c*r + j*r**3 + f*r**2 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -51.13 + -0.87. Let g = k + 51.879. What is g rounded to 2 decimal places?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 - 33577.\nAnswer: -33576.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**22\/y*y)\/(y*y*y\/y**(-5\/3)))**(1\/30) assuming y is positive.\nAnswer: y**(26\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -93*u*w**4 - 2*u*w**2 - 7*u wrt w?\nAnswer: -2232*u*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -4*t - 2. Calculate l(-6).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -0*l + 15, 0 = -5*j + l - 60. Is (-2)\/13 - 3993\/j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4680*h - 817*h + 1064*h - 7747*h in the form p + y*h and give y.\nAnswer: -12180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*k - 18*k. What is the second biggest value in k, -0.1, 3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c - 12. Let n be v(14). Let k(r) = -12*r**n + r + 12*r**2 + r**3. Let u be k(0). Solve -3 = -3*s - u for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1653*o**3 + 1 + 1644*o**3 + 2209*o**3 - 1 - 5609*o**3.\nAnswer: -103*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i when three letters picked without replacement from uguvuuuuuigcuuuuiu.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3*2\/(-6) + -3. What are the prime factors of 14\/c*(-6 + 5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 2 - 24)\/(((-12)\/4)\/(-7 - -9))\nAnswer: 52\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -7*((-124)\/28 + 4). Suppose d*o + 165 = 5*i - 78, -2*i = 4*o - 92. Does 16 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 45678 and 12732?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 2*n = 4*n + 14, 0 = -k + 4*n + 13 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 266 a factor of 745069192?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:21 PM and 1:48 AM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 = 3*h - 3*n, 3 = -3*h - 2*n - 2 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o**2 - 4*o**2 + 0*o**2)*(-28 + 4*o + 28).\nAnswer: -12*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-2\/5)\/j)**46\/(((j**(-3\/8)*j)\/j)\/(j**(2\/21)\/j)) assuming j is positive.\nAnswer: j**(-54541\/840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, i: 3, z: 2, d: 1}. Give prob of picking 1 z and 1 d.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*p**2 - 15*p**2 + 6*p**3 - 9*p**2 + 2*p**2 wrt p?\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -6*f**2 + 84*f + 74. What is p(21)?\nAnswer: -808","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 960961 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18\/(-45) + (-4)\/(-35).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 4*p = 2344 - 931, 0 = 3*h - 3*p - 4224. Calculate the remainder when h is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -19917\/67 + -312\/335. Let u = h + 298. Put -12\/41, 5, 2\/7, u in decreasing order.\nAnswer: 5, 2\/7, u, -12\/41","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 87901251*l**3 - 77434374*l**2.\nAnswer: 527407506","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times 27.387\nAnswer: 10.9548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.1 - 165.\nAnswer: -161.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 2 + 4*q - 18*q + 0*q + 9*q + 3. Let o(n) = 15*n - 10. Let x(y) = 2*o(y) + 7*s(y). Calculate x(6).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 27058?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmgmmmmmgmmgm. Give prob of picking 3 m.\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 5638\/66291?\nAnswer: 5638\/66291","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 155\/(-62) - ((-8)\/(-4) - 4).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2944297, -5888599, -8832905, -11777215, -14721529, -17665847?\n\"Answer: -2*n**2 - 2944296*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -2*n + 19, 4*n + 4*q - 41 = q. Is n a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 321587593876051 minus 0.3?\nAnswer: 321587593876050.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -50038725 - -0.35006\nAnswer: -50038724.64994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -588*i + 54 = 5*s - 584*i, -3*i + 42 = 4*s. Solve 0 = 271*w - 273*w + s for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 669712271 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1036 + -699. Let v = 474007.43010687 + -473670.43011. Let a = m - v. What is a rounded to seven dps?\nAnswer: 0.0000031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -210100302222 (base 4) in base 2?\nAnswer: -100100010000110010101010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3058336 a multiple of 496?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.155 + 0.12107583973\nAnswer: 0.27607583973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 276 divided by -6700\nAnswer: -69\/1675","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2, -27795, -17 in decreasing order.\nAnswer: -1\/2, -17, -27795","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 70 + -119. Let i be -4 - (6\/14 - (-5607)\/s). Calculate the highest common factor of i and 44.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 9, i: 1, k: 2, e: 7}. Give prob of picking 2 e.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 6*o**2 + 5*o - 3. Let j be b(-7). Let q be ((-6)\/8)\/((-8)\/j). Suppose q = 6*u - 0*u. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 151 a factor of 435635?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -3*u - 14. Let m be l(-5). Calculate the common denominator of -31\/6 and (-1)\/(m\/3) + (-308)\/72.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 + 0)*((-3 - 3 + 5)*(4*y - 6*y + y) - y + y + 2*y).\nAnswer: -3*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**2 - 7*k - 7. Let d be q(-4). Solve 4*y = -3*n + 14, 2*y - d*y - 2*n + 11 = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.1 to one decimal place.\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*i + 303 = 70623. Let g = i - 1270. What is the hundreds digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 14*p - 198. Give d(14).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 27924060 and 125220?\nAnswer: 27924060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -22*b**2 + 33*b - 33. Suppose -18*s - 429 = -5*s. Let c(x) = x**2 - x + 1. Give s*c(n) - a(n).\nAnswer: -11*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 10, 1\/3, -0.03, 2, 29\/6?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**3 - 3*i**2 - 2*i - 1. Let k be ((-14)\/(-21))\/(1 + (-12)\/9). Let s(v) = -4*v**2 - 4*v + 4*v - v**3 - 3*v - 1. What is k*s(g) + 3*m(g)?\nAnswer: -g**3 - g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1978.817 milligrams?\nAnswer: 1978817","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15049 is divided by 29.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 198 and 1881.\nAnswer: 3762","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -944*j**3 - 946*j**3 + 1881*j**3.\nAnswer: -9*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 n, and 2 m when four letters picked without replacement from bhmhbhmnnnbhnbnbbb.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 281307049 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2 - 1373.\nAnswer: -1373.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, f: 4, e: 2}. Give prob of sequence eqef.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1452)*1)\/(sqrt(216)\/sqrt(4)) + (5 + -6*sqrt(8)\/sqrt(4) + -5 + sqrt(18))**2.\nAnswer: 11*sqrt(2)\/3 + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -35190625 divided by -4\nAnswer: 35190625\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -121788, -951, -4.\nAnswer: -121788, -951, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t when three letters picked without replacement from {b: 1, t: 9, d: 9}?\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5087*f**3*o**3 - 1827*f**3 - 33*f**2*o**3 + 151*f**2 wrt o?\nAnswer: 15261*f**3*o**2 - 99*f**2*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -3*r**3 - 259*r**2 - 100*r - 1104. Determine q(-86).\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 8864515?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - (-2)\/5)*(2802880\/256)\/461?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13 - -45. Find the common denominator of -133\/6 and s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 + 74?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 6942, 8571, 12926, 21369, 35262, 55967, 84846?\n\"Answer: 227*n**3 + n**2 + 37*n + 6677","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 74763?\nAnswer: 3, 13, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4700*b + 4703*b - 3*v + 18, -b - 4*v = -39 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 93.837798 rounded to 2 dps?\nAnswer: 93.84","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.06, 1\/5, -8\/3067, 0.5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 p, and 1 h when three letters picked without replacement from {m: 3, p: 2, x: 3, e: 2, d: 1, h: 1}.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-6))\/((77\/42)\/(-11))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 1)*(3*v**4 - 2*v**4 + 0*v**4) + 0*v**3 + 4*v**4 + 0*v**3.\nAnswer: 5*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1221828715*p + 1062094122?\nAnswer: -1221828715","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*d**2 + 4*d**2 + d**3)*(47 + 71 - 30) + 2*d**3 + 3*d**2 - 3*d**2 + 4 + 2*d**3 - 4.\nAnswer: 92*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 364 a factor of 284955216?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 15\/104?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3153621?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1\/(-3))\/((-2)\/12). Suppose 0*c = -x*c + 6. Suppose -36 = -4*g + 6*w - 2*w, c*w - 6 = 0. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 571026 (base 8) in base 4?\nAnswer: 233020112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = 12 + 8. Let r(c) = c + 3. Determine r(s).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*j**2*m*x + 39*j**2 - 4*j*m**2*x + 34*j*x + 3149*m**2*x + 31*x + 2 wrt m.\nAnswer: 3*j**2*x - 8*j*m*x + 6298*m*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/2 or -7\/53?\nAnswer: -7\/53","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*n**5\/11 + 9432*n**4\/11 + 9434*n**3\/11 = 0. What is n?\nAnswer: -1, 0, 4717","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -1, 1101, 2\/7, 5, -25, -11?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (28\/(-21))\/(4\/(-54)). Suppose 4*w - j = -2. Let q(y) = -4*y**2 + 13*y**2 - 13*y**2 - w*y**3 - 5. Let k(f) = -f**3 - f**2 - 1. Give 3*k(s) - q(s).\nAnswer: s**3 + s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.8 + 2. Let o = -4.04 + 1.04. What is the third biggest value in u, o, 0.1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 208, 918, 2188, 4060, 6576?\nAnswer: 9778","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = n - 54*i + 52*i, -2*i - 2 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(2*sqrt(176))\/sqrt(4)*-1)\/(3*(-1*sqrt(1600))\/sqrt(4)).\nAnswer: 2*sqrt(11)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -3 - 12 - 7 - 5*i + i**3 + 2*i**2 + 1. Let r be z(-6). Let t be r\/54*(-24)\/10. Solve 2*w + 16 = t*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 0*r + 9 = -5*f, -3*r - 2 = -f. Let b be 2\/(-1 - f*2). Suppose -b*x = -5*g + 15, -4*x + 52 = 5*g + 7. What are the prime factors of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 2*u + 4. Let d be i(2). Let f = 11 - d. Factor -3\/2*b**2 + 0 - 1\/2*b**f - b.\nAnswer: -b*(b + 1)*(b + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6240 (base 8) to base 4.\nAnswer: -302200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**2 - 1. Let h(d) = 2*d**2 + d + 5. Give g(w) + h(w).\nAnswer: w**2 + w + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 8376805 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/19 in -8, -0.3, -69, -1\/2, -4\/9?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -766*v - 2701 wrt v?\nAnswer: -766","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l**4 - l**4 - 8*l**4)*(l - l - 2*l) - 1039*l**5 + 16*l - 7*l**3 - 8*l + 1042*l**5.\nAnswer: 15*l**5 - 7*l**3 + 8*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + (0 - -2 - 17) + 10.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12802701?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -4\/57 and -79\/7869648.\nAnswer: 7869648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 205 (base 7) in base 10?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 26*x - 132 + 2. Solve x*l - 6*l + 1 = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from yyyy.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 789953391*z - 553045382?\nAnswer: 789953391","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -236 + 446 = -78*u + 444. Solve o - 2*y - 2 = 0, 3*o - 6 = -u*y + y for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7403 to the power of 1\/2, to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o - 6. Let r be f(-8). Suppose r*d + d = 18. Let i(m) = 4 - m - 9 + 2. Determine i(d).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1111224 (base 5) in base 11?\nAnswer: 13776","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 2 u, and 1 h when four letters picked without replacement from kuuhmk?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - s - 4 = 2*t, 0 = -5*t. Sort 0, -25, s, -4 in ascending order.\nAnswer: -25, -4, s, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 685 = 4*u, 5*v - 8*v = 2*u - 697. What is the smallest common multiple of 1 and v?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*v**2 + 3*v**2 + 37*v**2)*(22 + 0*v - v - 21).\nAnswer: -44*v**3 + 44*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -247073*h*j**3*m**2 - 22*h*m**2 - 242*j**3*m**2 - 1724*j**2 - 67*j*m**2 wrt h?\nAnswer: -247073*j**3*m**2 - 22*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -3*r**3 + 20*r**2 - 17*r - 27. Let c(f) = 2*f**3 - 10*f**2 + 8*f + 14. Let i(h) = 5*c(h) + 3*p(h). Let s be i(-10). Let z = s - 55. Does 11 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 0 + 3)*(-1 + 0 - 1)*(-1 + 2 - 2 + (7 - 3 - 3)*(2 + 4 - 3))*(-2*x - x + x) + (0 + 4 + 2)*(0*x - 6*x + x) as c*x + u and give c.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -7\/6, -1, 0.3, -4, -261 in decreasing order.\nAnswer: 0.3, -1, -7\/6, -4, -261","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-246)\/14)\/(282\/(-329)). Is w greater than 20?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -100*n**2 + 9*n - 9. Let a(f) = -25*f**2 + 2*f - 2. Let k(m) = -26*a(m) + 6*j(m). Is k(1) a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*l - 76404 + 76404.\nAnswer: -4*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 3, -3, 0, 0.207?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-67*t - 73*t + 53*t)*(-14 + 8 - 28).\nAnswer: 2958*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 37345545 and 2818?\nAnswer: 1409","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 r, and 2 m when four letters picked without replacement from {t: 3, r: 1, j: 1, q: 4, d: 1, m: 2}.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 214 and 6342.\nAnswer: 678594","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10110 (base 2) to base 4.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j\/(j*j**1\/j)*j*j))\/j)**(-35)\/(j\/(j\/j**1)*j\/j**(2\/9)) assuming j is positive.\nAnswer: j**(614\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*l = 7*l + 37*l + 3216 for l.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4\/7, -2, 69, 0.63?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3917438047.3 plus 0.1?\nAnswer: 3917438047.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minus -8964580?\nAnswer: 8964582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**3 - 8*l**2 + 19*l - 34. What is the remainder when 12 is divided by s(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 3*q - 2. Calculate the lowest common multiple of 12 and g(2).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.150434518 less than 5?\nAnswer: 4.849565482","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 470 divided by 8.\nAnswer: 235\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 44\/(-418) - (-17)\/(1292\/160). Factor -1\/10*d**n - 1\/10*d + 0.\nAnswer: -d*(d + 1)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 327018 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j**2\/5 - 4*j - 25 = 0. What is j?\nAnswer: -5, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p + 5. Let s = -64 + 69. Suppose 42 = -s*z - 4*v, -2*z + 0*v + v = 9. Give d(z).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -130 (base 8) to base 6\nAnswer: -224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 515794.08 to the nearest ten thousand.\nAnswer: 520000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -57\/28 and 67\/27230.\nAnswer: 54460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + g = 2*l - 155, 5*l - 445 = 4*g. Calculate the remainder when 86 is divided by l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*b = 200983 - 40977. Suppose 83*m - 76*m - b = 0. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 26780 by -26780.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n + 24 = 3*g, -g = -45*n + 41*n - 26 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 884, 3504, 7878, 14006, 21888, 31524, 42914?\nAnswer: 56058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6848 a factor of 385499162?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1425184 is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**2 + j + 4. Let x be d(-3). Let t = 11 + x. Suppose 2*u + 3 = 4*b - 3, 5*b - t*u = 9. Solve 0 = 3*s - 2*p - 23, 3*p = s - b - 17 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3512559, 2, 21 in descending order.\nAnswer: 21, 2, -3512559","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10 - -10. Let g be (-2)\/5 + (4 - 87\/p). Sort -2\/3, 5, g, 0.8 in descending order.\nAnswer: 5, 0.8, -2\/3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -21 + 1221120?\nAnswer: 1221022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1167394 = 15*t - 2*t - 428356. What is t rounded to the nearest ten thousand?\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6310*r**3 + 4*r**2 + 365645*r?\nAnswer: 37860*r + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9093 - -9063. Put x, -4, 2 in decreasing order.\nAnswer: 2, -4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -50 - -105. Let y = -7 + o. Let u = 78 - y. Is 5 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from koqpv. What is prob of picking 1 k and 1 v?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/8 of a tonne in kilograms?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 76388 a multiple of 315?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 4*j + 93. Let x be m(-22). What is the nearest to 3 in -3, x, 0?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -ad54 - -17c?\nAnswer: -abd8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -4, -21, -48, -85, -132, -189, -256?\n\"Answer: -5*h**2 - 2*h + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 9) to base 14\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = -2*j - 2. Let k = -16097 + 16120. Sort 2, k, j.\nAnswer: j, 2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 70327.\nAnswer: 70327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**4\/11 - 1324*y**3\/11 - 241658*y**2\/11 - 7459416*y\/11 - 63483912\/11.\nAnswer: -2*(y + 18)**2*(y + 313)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.23 in -1, -0.5, -5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 84871874?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -8.234*0.447\nAnswer: -3.680598","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hxghvcwchcg. Give prob of sequence xcg.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 99\/97114 and -99\/8230.\nAnswer: 485570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**2 + 5*z + 4. Let s be i(9). Let v = 654\/5 - s. Put -3\/11, -3, v in decreasing order.\nAnswer: v, -3\/11, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-10 - -138) + 4*2\/(-2). Let b be u - (-12 - 4)\/4. Calculate the greatest common divisor of 8 and b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -118*g**2*l*w**3 - 3*g**2*w**3 + 228*g*l*w**3 - g*l wrt g.\nAnswer: -236*l*w**3 - 6*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1371041?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1716*p = -1717*p - 10*b + 27, -2*b = 5*p + 9 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -455*s + k - 2 = -230*s - 226*s, -28 = -5*s + k for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times -43?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5951049*c = -5951098*c + 1078 for c.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 130 + 1?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 915 and 21353965?\nAnswer: 305","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 - -654?\nAnswer: 656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 1 r when three letters picked without replacement from pppammaapmrrprmmmpr.\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-7)\/(-7))\/(2\/14) - 4. Let j(q) = -6*q + v*q + 4*q + 2*q - 6*q. Calculate j(-4).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 2*o**2 - 150*o. Let b(q) = -1114*q - 36. Give b(p(m)).\nAnswer: -2228*m**2 + 167100*m - 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27 + -14 + (4 + -15 - -28).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.53 - 5.23. Let o = g - -1.7. What is the nearest to 0.1 in o, -0.2, 0.07?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 206674 to the nearest integer?\nAnswer: 455","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 17*l**2 + 10*l - 28. Suppose 40 = -4*v - 2*c, v + c + 10 = -1. Is w(v) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17077 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(1\/4)\/(d*d\/(d*d*(d**(-1)\/d)\/d)))\/(d**(2\/9)\/(d\/(d*d*d\/((d*d**(-3)*d)\/d*d*d))))*(d**5\/d**(-2\/3))\/(d**(-3)*d**(-4\/9)) assuming d is positive.\nAnswer: d**(149\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Solve 47 = -30*d - 253 for d.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 538.3518 minutes to milliseconds.\nAnswer: 32301108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 divided by -207?\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/(-2)*2\/3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4065, 15815, 35405, 62841, 98129, 141275, 192285, 251165?\nAnswer: 317921","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -34 * 493.\nAnswer: -16762","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 218234237?\nAnswer: 13, 103, 349, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i and 1 g when four letters picked without replacement from aiioagifoi?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -20 - -24. Suppose -f*l + 37 = -m - 64, -l + 3*m + 28 = 0. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/((-13)\/(-6 + -33))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -4*n + 4*n + 3*n. Let o(h) be the second derivative of -h**4\/6 - 90*h. What is o(w(g))?\nAnswer: -18*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -193119865 + -0.2703.\nAnswer: -193119865.2703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bno when three letters picked without replacement from nbtqqbtfbqbtqbbnontb.\nAnswer: 7\/2280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 2*v + 1. Let j be n(-2). Let u be 2\/j*30\/(-4). Solve -4*s = -u*t + 5 - 20, 0 = -4*s + t + 3 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sszrc. What is prob of picking 1 z, 1 c, and 2 s?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18515 is divided by 170.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h - 6*h - 5*c + 14 = 0, 4*h = -2*c + 20 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 2*q**2 + 14*q + 19. Let x = -210 - -198. Calculate the remainder when o(x) is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*d + 3312 = 35*d. Let j = d - 140. Solve -j = 2*h + 2 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence krkr when four letters picked without replacement from kkrrrkkrrkkk?\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -d. Suppose d*i + 16 = 2*i. Suppose 3*k = i*k - 55. What are the prime factors of k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**3 - 5*q**2 + 8*q - 2. Let n(y) = y**3 + 4*y**2 + y - 3. Let t be n(-2). Let o be v(t). Solve 0 = -a + o for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - 4) + 7 - (-437 - 47)\/44?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 5 + 21 = 0. Suppose 16 + 4 = q*f. Let y(h) = h**3 - 7*h - 1. Is y(f) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10*i**2*r**3 + 2207*i**2*r - 5*i**2 - 12311*i*r - 5*r**3 wrt i.\nAnswer: 20*r**3 + 4414*r - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1058*c**3 - 7*c**2 - 5 wrt c.\nAnswer: 6348","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppppppttptpppppptppp. Give prob of picking 2 t.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -142, -173, -16, 401, 1150?\nAnswer: 2303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkfccckccffkkf. Give prob of sequence fkkk.\nAnswer: 10\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -110212121 - 221012110?\nAnswer: -1102002001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*t**2 - 4*t**4 + 6*t**2 + 0*t**3 - 2 + 0*t**3 + t**4 - t to the form k*t**3 + v + b*t**2 + h*t + c*t**4 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 92 = 1658. Suppose -m - 5*u = -175, -3*m - 2*m + y = u. Suppose -5*t + 3*t + 85 = 3*o, -4*t - o + m = 0. Is t a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 92 - 89. Suppose 5*r = 2*k - 31, 4*r + 19 = j*k + 2*r. Suppose -3*p - 10 = f - 0*f, k*f - 3*p = -6. Let v(a) = a**3 + 5*a**2 + a - 2. Give v(f).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6779125081 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(-36) + (-97185)\/(-1674). What is the greatest common factor of 174 and a?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 2*g**2 - 47829*g. Let j(t) = -2*t**2. Give h(j(v)).\nAnswer: 8*v**4 + 95658*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 100591 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-3 + 2)*20\/(-5)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -27*j**3 + 2*j**2 + 2*j + 1. What is n(-1)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 318 = -4*w - 31, -4*w - 16 = 0. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1412 and 671053.\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 141 and 2046192.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/110 and 53\/145.\nAnswer: 3190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 6*s + 9. Which is the nearest to 0.1? (a) -5 (b) 1\/5 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*c*f**3 + 8*c*f**2 - c*f + 263*c - 2 wrt f?\nAnswer: -6*c*f**2 + 16*c*f - c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the third derivative of l**6\/90 - 17*l**5\/15 + 289*l**4\/6 + 3*l**3 + 43*l**2. Let s(c) be the first derivative of t(c). Let s(i) = 0. Calculate i.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 14*i**3 + 36*i**2 + 8*i + 8. Let h(l) = -5*l**3 - 12*l**2 - 3*l - 3. Give -3*g(t) - 8*h(t).\nAnswer: -2*t**3 - 12*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 12, -5*d = -u - 10*d - 19. Suppose -5*x + 3*x = 2*i + 30, -5*i - 76 = 4*x. What is the common denominator of (-4)\/i + (-86)\/(-24) and u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes after 11:22 PM?\nAnswer: 4:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n + 3 = -2998*b + 3003*b, 5*b - 8 = 3*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**3\/21 - 1214*k**2\/21 - 350978*k\/21 - 3039022\/3.\nAnswer: 2*(k - 833)*(k + 113)**2\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the first derivative of -7*w**4 - 5*w**2\/2 + 50*w + 54. Let h(q) be the first derivative of m(q). Differentiate h(x) wrt x.\nAnswer: -168*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 2*u + 2*i, -u + 8*i = 5*i - 11. Let p be u - (-66)\/10 - 3. Let r = -14 + 23. Sort 1\/6, p, r in ascending order.\nAnswer: p, 1\/6, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2000 and 360.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16723, -17490, -18259, -19030?\nAnswer: -19803","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -113 + -80.36. Round i to the nearest ten.\nAnswer: -190","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7.49999833 + 7.5. Round q to 7 dps.\nAnswer: 0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14)\/6 - (4 + 39\/(-9)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = j - 3*d, 0 = -4*j - d - 1 - 34. Suppose -120 = -21*g + 16*g. Suppose 3*p + 4*k - 5*k = 12, -5*p + 3*k = -g. Sort j, p, 2.\nAnswer: j, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2350 + -1550?\nAnswer: 400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -z + 4*l + 27, 0 = -2*z - 3*l + 12. Let m be ((-27)\/(-12))\/(z\/(-32)). Let h be (4 + -2)*(-9)\/m. Solve -3*s + h*c = 3 - 9, 3*c + 11 = -2*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s. Let q(w) = 2*w - 1. Let n(r) = -3*r**2 + 66*r - 33. Let d(o) = 2*n(o) - 66*q(o). Determine g(d(m)).\nAnswer: 6*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9 - -14. Which is the closest to -2\/5? (a) s (b) 3 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8 - -7.9. Let v = 5.827 - 7.827. What is the nearest to t in -3, v, 33?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 38\/2525 and 47\/6565.\nAnswer: 32825","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13744874 by 31097.\nAnswer: -442","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is a626 (base 16) in base 7?\nAnswer: 235002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**3 + 11*v**2 - 9*v - 11. Let d be s(10). Let l = -27.3 - -27.2. Which is the closest to l? (a) -3 (b) d (c) 0.15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**2 - 88482724*i + 1957298111615044.\nAnswer: (i - 44241362)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*p + 6*p**3 - 3 - 53*p**2 + 61*p**2 - 3*p**3 in the form q*p**3 + l + x*p + c*p**2 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6645, -13291, -19937, -26583, -33229, -39875?\nAnswer: -46521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23567022 - 23567022 + 5*h**2.\nAnswer: 5*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11149 - 8629. Calculate the lowest common multiple of 140 and v.\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 24, 122, -4864 in decreasing order.\nAnswer: 122, 24, -4864","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*a + 5*a - 180. Let h = 11 - -4. Let g = a - h. Solve -2*o + 3*o + 3 = g for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 8\/3*g**3 - 250*g**2 - 188\/3*g.\nAnswer: 2*g*(g - 94)*(4*g + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x + x**5 + x)*(-2 - 2 + 7) - 3*x**2 + 3*x**2 + x**5 + (2*x**2 + 3 - 3)*(x**3 - 2*x**3 + 5*x**3).\nAnswer: 12*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/1103104 and 1\/32240.\nAnswer: 71701760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2866 + 2478. Let x = l + -5343.7757. Let a = x + -0.23. What is a rounded to 3 decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (176 - 195) + (2 - (3 - -2)).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -25129953255.0000651 - -25129954650. Let y = 1296 - -99. Let l = y - a. Round l to six dps.\nAnswer: 0.000065","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -101022022 + 101?\nAnswer: -101021221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000006572993 to 7 decimal places.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5.58 + 0.42. What is the closest to -1\/4 in 0.04, d, 2\/5?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -12*l - 6. Let w be v(-3). Suppose -4*u + 7 = -5*m, -4*m = -0*m + 2*u - 10. Let p = m + 7. Solve 2*i + h = -p, 0 = -4*i - 0*h + 5*h - w for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.84871 * -22\nAnswer: 40.67162","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 640023619 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.072284 less than -50.50391?\nAnswer: -50.431626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 20, 39, 58?\n\"Answer: 19*v + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 293557 is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes before 8:03 AM?\nAnswer: 7:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the third derivative of r**5\/60 + 5*r**4\/24 - r**3\/6 - 2*r**2. Let c be z(-5). Is -6 < c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 3*u**4 + 93*u**3\/7 + 108*u**2\/7 - 12*u\/7 - 48\/7 = 0.\nAnswer: -2, -1, 4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -996\/11 at most as big as -91?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 8 + 4. Let a = -2 + o. Find the third derivative of -i**2 - i**a + 0*i**3 + i**3 wrt i.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*m = -150*m + 15*m + 359029. What is the hundreds digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 173*u**4 + 13737?\nAnswer: 692*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 5*y - 21512 + 4686 = 0, 0 = 3*g - 5*y - 12622. What is the thousands digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5040892 nanograms to kilograms.\nAnswer: 0.0000000000005040892","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6*o + 8*o + 9 + 249 + 269*o**3 + 609 + 171 with respect to o.\nAnswer: 807*o**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 3, e: 3, g: 6, x: 6}. What is prob of picking 1 g and 2 e?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 138?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 87 - 84. Suppose t*n - 2*d - 15 = 0, 0 = -3*n - d + 4 + 11. Suppose 0 = -3*z - 3*x + 21, -5*x + 3 + 2 = -n*z. Solve -2*b - 4 = -z*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -115 or -114?\nAnswer: -114","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-36)\/(-24) - (-25)\/(-22). Let l = r - 27\/44. Which is the smallest value? (a) -5\/3 (b) 1 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 6*r. Let n(h) = -24635*h**2 - 58*h - 1. Give s(n(f)).\nAnswer: -147810*f**2 - 348*f - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 304 + -4?\nAnswer: 300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((2\/4)\/((-4)\/48))\/(-2)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the second derivative of -41\/6*f**3 + 0*f**5 + 0*f**4 + 0*f**2 + 0*f**6 - 29\/42*f**7 + 19 - f. Find the second derivative of t(x) wrt x.\nAnswer: -580*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 84705, 169645, 254515, 339279, 423901?\nAnswer: 508345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1801.515*-0.035.\nAnswer: -63.053025","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -331, 2.2 in descending order.\nAnswer: 2.2, -0.5, -331","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 8\/(-2)) + (-9 - -30 - 16).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p - 2*p - 230 = 2*b, -b = -5*p + 295. Suppose -p = -3*n - 0. Calculate the lowest common multiple of 20 and n.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 110 = -0*t. Let b be (4\/(-9))\/(-4*(-3)\/(-54)). Find the first derivative of -8 - t*h + 40*h**b + 22*h - 67*h**2 wrt h.\nAnswer: -54*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1650*u - 1798*u + 15573 = 2105 for u.\nAnswer: 91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001802090749 to six dps.\nAnswer: -0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) 2\/107 (b) -53 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -171242, -342484, -513726, -684968?\nAnswer: -856210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 52 = 7*v - 3*v, 68 = -5*v - l. What is v rounded to the nearest 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 2 + 89*s + 6*s to the form r + a*s and give a.\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 864240 is divided by 331.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.4969614 to zero dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = -3*t + 12. Suppose -p - 3*w - 4 = -t*w, 4*p + w = -1. Let a be p\/(1 + (-6)\/4). Put a, 5, -2 in decreasing order.\nAnswer: 5, a, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 169 + -133. Let o be 3\/(1\/(-1))*(-12)\/i. Solve -v - o + 2 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34579.\nAnswer: 151, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 266864244.\nAnswer: 2, 3, 31, 41, 17497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 923609 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4866074 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 6650, 13298, 19936, 26558, 33158?\n\"Answer: -v**3 + v**2 + 6652*v - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1, -5, -253, 4, 7.\nAnswer: -253, -5, -2, -1, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(243))\/sqrt(9))\/(sqrt(9)*2*2)*2*-3.\nAnswer: -3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (544\/(-36))\/(4\/12)*(-168)\/(-56).\nAnswer: -136","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sb when two letters picked without replacement from {n: 8, b: 8, i: 1, s: 1, v: 1}.\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12\/23 + -1\/46. Let x = 0.1 + 0.1. Let h = -6\/5869 + -5845\/23476. Which is the closest to h? (a) x (b) -2\/17 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 747 and 15189.\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6187 or 6186?\nAnswer: 6186","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 - 0. Suppose -25*o = -24*o - 2. Suppose 0 = -o*v + d + 4. Put -0.1, -0.4, v in descending order.\nAnswer: v, -0.1, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**2 + f - 3. Let p be l(0). Let y(i) = -i**3 - 2*i**2 + 5*i + 3. Let g be y(p). Is 12 a factor of (-1)\/g - 213\/(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s + 2*s + k + 191, 0 = 3*k - 3. Suppose -17*f + 2734 - 524 = 0. Suppose 29*g - f = 19*g. Calculate the remainder when s is divided by g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(((u*u\/(u*u**(-2\/41)))\/u)\/u)*u**(1\/14))\/((u\/u**(-37))\/u**(3\/13)))**(-8\/11) assuming u is positive.\nAnswer: u**(1066964\/41041)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 3*i**3 - 4*i**2 + 11*i + 8. Is x(5) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 70 - 160*h - 49 - 21 - 3594*h.\nAnswer: -3754*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2439, 2\/3, -4\/5, -0.1?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 303, 11, 4, -105.\nAnswer: -105, 4, 11, 303","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.88 minus 18338?\nAnswer: -18341.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t - 1. Let p be h(-3). Let k(m) = m**2 - 2. Calculate the remainder when 26 is divided by k(p).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x**3 + 14*x**2 + 25*x + 12 = 0. What is x?\nAnswer: -12, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 3 + 3)*(y + y - 4*y)*(-6 + 3 + 1) - 2*y + 2*y + y - y - y + 3*y + 0*y + 0*y - 2*y - 2*y - 2*y + 5*y + (1 - 2 + 2)*(2 - 2*y - 2).\nAnswer: -21*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -520*z = 298*z - 196*z - 14306 for z.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 33 + -23. Suppose 0 = -m + 2*m + x. What are the prime factors of ((-8)\/(-1))\/((-5)\/m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 13115012?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 3971 = m, -45*m + 47*m = -5*r + 7906. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 48390.\nAnswer: -1\/9678","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 - -5.06. Let v = -0.09 - c. Let p = v - -0.1500068. What is p rounded to six dps?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -1, 12, -5.\nAnswer: -8, -5, -1, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(1539) + sqrt(1539) + -4 - sqrt(1539)) - ((-2 + sqrt(1539))*-6 - sqrt(1539)).\nAnswer: -21 + 72*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -14241 (base 6) in base 16?\nAnswer: -8d1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:20 PM and 10:37 PM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 3*v - 4. Let s(l) = -21896*l + 25024. Give -6256*r(z) - s(z).\nAnswer: 3128*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19*w**2 - 2*w + 99 + 0*w - 103 to r + z*w + s*w**2 and give r.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -943470*v**2 - 943471*v**2 + 1886939*v**2.\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 - -4. Suppose -z*j + 3*j = -28. What are the prime factors of j?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.12 - -0.1069.\nAnswer: -0.0131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 10002221 (base 3) to base 9\nAnswer: 3087","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.684*-90.\nAnswer: -61.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 717065 to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*f = -18*f - 9557. What is the tens digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 10*g**5 - 2*g**4 - 87*g**3 + 2*g**2 + 137*g - 57. Let p(u) = -u**4 - u**3 + u**2 + u - 1. Let f(q) = -i(q) - 3*p(q). What is n in f(n) = 0?\nAnswer: -2, 1\/2, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -493246*j**3*m**2 + 776*j**3*m - 4*j**3 + 2*j**2 + 27*j*m wrt m?\nAnswer: -986492*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -183 - -202. Suppose 24*y = d*y + 35. Is y a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(245)*2 - sqrt(15)\/((2*sqrt(3) - sqrt(3)) + sqrt(3)) - ((sqrt(5) + (sqrt(720) - 1*sqrt(720)))*1)**2.\nAnswer: -5 + 27*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5582.\nAnswer: 2, 2791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6442318.\nAnswer: 2, 67, 131, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -850 - -850. Is 1\/13 at most as big as l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3.031 + 0.031. Let q = -1833\/5 + 367. Which is the nearest to -0.2? (a) -5 (b) v (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20 + 20 - 6*l)*(2 - 2 + l + (0 - l + 0)*(1 + 3 - 2)).\nAnswer: 6*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6.8 + -10.8. Put -0.17, 3\/4, y in ascending order.\nAnswer: y, -0.17, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -34*u**3 - 183*u**2 - 570*u + 11. Let o(s) = 3*s**3 - 2*s**2 - 1. Let f(b) = -22*o(b) - 2*z(b). Find the second derivative of f(v) wrt v.\nAnswer: 12*v + 820","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000042912708 to 5 decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h + 14 = 8, -2*h = -2*c - 10 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -8941 rounded to the nearest one thousand?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6594.797 milligrams to kilograms.\nAnswer: 0.006594797","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 - -72?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the third derivative of u**8\/960 + u**6\/360 + u**4\/12 - 2*u**2. Let h(j) be the second derivative of x(j). Find the second derivative of h(i) wrt i.\nAnswer: 42*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12664 + -177223\/14. Let f = -8 + -8. Calculate the common denominator of h and (-3 + 3235\/220)*f\/(-40).\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -r*y**3 + 68*r + 735923*y**4 + 3821 with respect to y.\nAnswer: -3*r*y**2 + 2943692*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4 and 115?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1315 (base 7) in base 6?\nAnswer: 2154","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 4*g - 15 = 0, 2*k + 4*g - 12 = 2. Which is bigger: 1\/67 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -16\/370305 and -65\/15192.\nAnswer: 2962440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 399*w + 642 + 954 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -207993*p**4 + 41989?\nAnswer: -831972*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**2 + 11*u - 74. What is a(6)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -8, 0.3, 0.5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 903, 3540, 7805, 13596, 20811, 29348, 39105, 49980?\nAnswer: 61871","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2628 - -4.03288393.\nAnswer: -2623.96711607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -120, -1686, -4348, -8100, -12936, -18850, -25836?\n\"Answer: y**3 - 554*y**2 + 89*y + 344","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -21*q + 26*q + 25. Let x = 72 + -43. Let g = 25 - x. What is the fourth biggest value in g, -0.5, q, 5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 460*u + 484*u - 950*u - 288 = 0 for u.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -11*a**2 + 3*a**2 - 18*a**2. Suppose -i - p + 1366 = -22, -3*i - 5*p + 4160 = 0. Let n(x) = -x**2 + i*x + 0*x**2 - 1390*x. Calculate n(u(s)).\nAnswer: -676*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 14268401.98 to the nearest one hundred thousand.\nAnswer: 14300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -951 - -2348. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -94*h + 84. Let r(v) = 47*v - 47. Calculate -6*k(y) - 11*r(y).\nAnswer: 47*y + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 12 (b) -368 (c) 2\/5 (d) -1.2 (e) -12 (f) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9*224\/(-504)*1*-2.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:37 PM and 9:47 AM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 22180, 88722, 199626, 354892, 554520, 798510, 1086862?\n\"Answer: 22181*y**2 - y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 63\/4? (a) 0.5 (b) 4 (c) 2 (d) 20\/69\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t + t + 3*l - 12, 0 = 5*t - 5*l - 20. Let m be 304\/t - (-6)\/9. Suppose 5*j + r - 232 = 2*r, 0 = 2*j - 5*r - m. Does 17 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2403619 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 50 in -1\/2944, -0.3, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 113*y**2 - 8*y - 8*y + y**3 - 119*y**2 + 2*y + 22. What is the units digit of h(9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 1*sqrt(75) + sqrt(75))*-6*-6 - ((sqrt(75) + sqrt(75)*2)*4 + sqrt(75) + (sqrt(75) - (3 + sqrt(75) + 1)) + sqrt(75))**2*-3.\nAnswer: -1320*sqrt(3) + 44148","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, 191, 3 in increasing order.\nAnswer: -17, 3, 191","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.1, 2\/21, 479?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:03 PM and 1:47 AM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66947 is divided by 42?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*s + 3*v = -15*s - 5, -4*s + 2*v + 60 = 0 for s.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14396?\nAnswer: 2, 59, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2644562?\nAnswer: 2, 1322281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lc when two letters picked without replacement from {i: 3, l: 2, m: 2, c: 8}?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 49265 or 49149?\nAnswer: 49149","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1239?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1907032181 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q + 3*q - q)*(-2 + q**3 + 2 - 3*q**3 + 3*q**3 - q**3 + (6*q**2 - 4*q**2 + 0*q**2)*(2*q + 2 - 2)).\nAnswer: 12*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 90 and 74910?\nAnswer: 224730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o*o**0*o**(-1\/5)*(o\/o**(3\/4))\/o*o*o*o*o**(-3\/2)\/o*(o**(-1\/8)*o**(-6)*o)**(33\/2) assuming o is positive.\nAnswer: o**(-6721\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m + 3. Let g be p(-6). Suppose 2*j - 10 = -0*j. Suppose -j*n - 1160 = -g*n. What is n rounded to the nearest one hundred?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -8\/9 (b) -267 (c) 0.1 (d) -0.4 (e) -2 (f) -1\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-29 + 14 - -12) + 1 + 45.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**3 + 5*z**2 + z - 7. Let u be r(5). Let a(n) = -12*n - 15. Let p be a(u). Solve -2*o = 3*d - 9, -3*d + 3*o = -0*o - p for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(468)*2 + (sqrt(468) - (1*sqrt(468) + sqrt(468))*2 - sqrt(468)))\/(1*sqrt(324) - (-2*sqrt(81) + sqrt(81) + sqrt(81) - sqrt(81))) + -4.\nAnswer: -4 - 4*sqrt(13)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-1)*w**(-3\/8)*w**(-12)*w**(2\/15))**5)**(-37) assuming w is positive.\nAnswer: w**(58793\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**2 + 4*t + 1. Determine n(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 157 - 160. Let x = 9 + -5. Suppose -2*i = i - 9. Put i, z, x in decreasing order.\nAnswer: x, i, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 + 11?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 21847 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**3 + 14*o**2 + 2*o + 19. Let m be y(-14). Let r = m - -19. Suppose 2*l - 1 = 15. What is the smallest common multiple of l and r?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.076848 and 8124.\nAnswer: -624.313152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 234 divided by 6.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -26102\/7 - -3825. Let s = o - 96. What is the second biggest value in -0.2, -1, s?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**3 + v. Let l(j) = -6*j**3 + 2*j**2 + 2*j - 3. Let h(y) = -2*y**2 + 198*y - 579. Let t be h(3). Calculate t*r(b) + l(b).\nAnswer: -3*b**3 + 2*b**2 - b - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (1632\/48*2\/8)\/(2*(-3)\/(-36))\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1086108.\nAnswer: 2, 3, 29, 3121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 161129?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(1 + 4*((sqrt(88)*-2)\/sqrt(11))\/(sqrt(484) - (sqrt(484)*1 + sqrt(484))))**2.\nAnswer: -1245\/121 - 80*sqrt(2)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the first derivative of 9*d**2\/2 + d - 2. Let s be 2\/1 + (1 - 5) + 7. What is the remainder when q(s) is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ai when two letters picked without replacement from {i: 3, o: 1, a: 1}?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:03 PM and 9:31 PM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 416*q - 418*q = 4 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the first derivative of -k**2\/2 + 2*k + 3. Let i be q(2). Let y(t) = -t**2 + t + 13. Calculate the remainder when 25 is divided by y(i).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 89657 divided by -5.\nAnswer: -89657\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 51863?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 976348 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*y**4\/9 - 7358*y**3\/9 - 75844*y**2\/9 - 184840*y\/9 - 41776\/3 = 0 for y.\nAnswer: -7, -2, -6\/5, 746","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes before 9:53 AM?\nAnswer: 4:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7\/14)\/((-62)\/(-8))*(-4)\/(-4).\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5494 = -186*t - 236*t - 1680 for t.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (160\/(-25))\/(5424\/(-1130))?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**2 + p - 1. Let z be 5 - (-25)\/(150\/(-36)). Let v(j) = 5*j**2 - 6*j + 6. Determine z*v(c) - 6*l(c).\nAnswer: -11*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 779, 29, -24, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a**4 - 279*a**3 - 2997*a**2 - 6561*a = 0 for a.\nAnswer: -81, -9, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -r**5 + 0*r**5 - r**5 + (5*r**2 + 0*r**2 - 4*r**2)*(4*r**3 + 0*r**3 - 2*r**3) + 109*r**5 + 4985*r**2 - 4985*r**2.\nAnswer: 109*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hzc when three letters picked without replacement from hczz.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.54661*1885.\nAnswer: -1030.35985","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g\/((g**4*g)\/g))\/(g\/g**(5\/6)*g))**12\/((g**1)**(-24)\/(g**2*g*g*g\/(g*((g\/((g\/g**(-1\/5))\/g))\/g)\/g)*g)) assuming g is positive.\nAnswer: g**(-39\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 67703975 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1177868 to the nearest integer?\nAnswer: 1085","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-847 - -841) + -57 + 2 + -3 + 3?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7443, -7533, -7623, -7713?\nAnswer: -7803","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.15, -0.2, -349, -27\/10, -1\/6?\nAnswer: -349","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 63.7 + -68. Let g = b - -4. Sort 1\/5, g, 5 in increasing order.\nAnswer: g, 1\/5, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 84241 is divided by 2113.\nAnswer: 1834","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 1\/7, -0.5, -1, -1234 in decreasing order.\nAnswer: 1\/7, 0.1, -0.5, -1, -1234","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*h - 3377629 + 3382275 = 0 for h.\nAnswer: 101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -22*d**3 + d. Calculate the remainder when j(-1) is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the second derivative of -v**8\/420 - 2*v**5\/15 - 5*v**4\/3 + 10*v. Let p(h) be the third derivative of j(h). Differentiate p(g) with respect to g.\nAnswer: -48*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -28335042 - 4.9?\nAnswer: -28335046.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1)\/(q**(-1\/5)\/q)*((q*q**(-4\/3))\/q)**(11\/3))**40 assuming q is positive.\nAnswer: q**(-1688\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 174.99 - 174.49. Let o = -349 - -2081\/6. What is the second biggest value in h, 0, o?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the second derivative of 0*s**5 + 0*s**4 - 3\/5*s**6 + 12*s**2 + 0 + 25*s + 0*s**3. Find the first derivative of n(i) wrt i.\nAnswer: -72*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4\/6136117 = -1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2417 less than 0.1?\nAnswer: -2416.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-408)\/(-966))\/17)\/(-1*(-2)\/7).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 7 = -2. Suppose -4*r + u = -3*r + c, 5*c = -2*r - 1. Suppose -r*m - 778 = -4*m. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 68529620?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.1 - -0.1. Let d = 4 - 0. Suppose 0*r = -d*r + 12. Which is the closest to w? (a) r (b) 5 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2875, 23206, 78471, 186136, 363667?\nAnswer: 628530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.04 - 1.96. Let u = 39\/22 + -3\/11. Which is the closest to 3? (a) v (b) -3\/8 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 21685?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 73 - 27.4. Let p = i + -46. Which is the nearest to -1\/3? (a) -0.1 (b) -4\/3 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in seventeen halves of a kilogram?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -2*n**3 + 51152*n**2 + 51154*n = 0.\nAnswer: -1, 0, 25577","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 173.\nAnswer: 4\/173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s + 17. Let x(k) = 10*k - 103. Let t(d) = -4*i(d) - x(d). What is t(6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 43*n**4 - 20497*n + 20168. Let r(q) = -31*q**4 + 13665*q - 13445. Let v(h) = 5*j(h) + 7*r(h). What is the derivative of v(a) wrt a?\nAnswer: -8*a**3 - 6830","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15 - -8) + 3 + 7 - 8.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 202 - 109. What are the prime factors of s?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 189847376?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w*w**3*w**24)\/((w**10*w)\/w**(13\/3)))**(-16\/3) assuming w is positive.\nAnswer: w**(-1072\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, i: 2, v: 1, t: 1, b: 6}. Give prob of picking 1 b and 1 i.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 2*s - 3 + 0 - s - 3*s + 2*s**2 - 2*s**3 - 2. Let l(r) = r**3 - 3*r**2 + 2*r + 6. What is -3*i(k) - 2*l(k)?\nAnswer: 4*k**3 + 2*k + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 644 - 603. What is the smallest common multiple of s and 92?\nAnswer: 3772","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3149 - -3126 - (-6 - 0 - (2 - -4 - 4)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 758*t - 258*t - 252*t - 248*t + t**2.\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 4*i - 3*i. Let k = i - 22. Let z be (-40200024)\/(-60) + 2\/k. Round z to the nearest 100000.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*x + 9*x - 34 = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 2*c**2 - 35*c + 117. Suppose -8*d - 37 + 141 = 0. Let k be l(d). Do 4\/29 and k have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -6 + 12 - 9?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + i = 5*k + 13, 0 = k - 5*i - 2. Let x(y) = -3*y - 3. What is the units digit of x(k)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9.2 - -9. Which is greater: 4\/3 or b?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21, 53, 85, 117, 149?\nAnswer: 181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 193445 and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 12848 to the power of 1\/2, to the nearest integer?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 4*h**3 + 108*h**2 - h - 21. Let b be t(-27). Solve 2*y - 2*l - b = -4*l, -5 = 5*y - 5*l for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 2 = 0, -4*m - 5*s + 70 = -28. Let h = m - 10. Suppose -3*l + 12 = -0*l - 5*v, -v = 3*l - h. Solve 0 = -l*n - 0*n + 12 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 12*r - 27. Let d(t) be the second derivative of 0*t**2 + 0*t**3 + 0 + 1\/42*t**4 + r*t + 1\/105*t**6 - 1\/35*t**5. Factor d(w).\nAnswer: 2*w**2*(w - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8050431*k**3*q**3 - 11*k**3*q**2 + 28770*k**2*q + 190*q**3 wrt k.\nAnswer: -48302586*q**3 - 66*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -6*d**2 - 4*d - 4. Let c(h) = h**2. Let x(b) = 5*c(b) + k(b). Suppose 95*n - 3*n + 368 = 0. Determine x(n).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 175646858.\nAnswer: 2, 87823429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-10)\/3 - 14\/21) + 2344.\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -0.26, -4\/7, 4\/5, -3, 21, 1?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 433 + -435. Let t(x) = x**2 - 4*x - 3. Let z be t(6). What are the prime factors of (-35)\/((9\/q)\/z)?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 80271 is divided by 43?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes after 2:13 AM?\nAnswer: 4:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8323255.\nAnswer: 5, 1664651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*(s*s**(-3))\/s*s)\/((s\/((s\/(s*(s*s*s\/(s**(20\/9)\/s))\/s*s))\/s))\/s) assuming s is positive.\nAnswer: s**(-34\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14566 - -72826\/5. Sort -143, -3, o.\nAnswer: -143, -3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 2 + 2)*(t - 3*t + t - 3*t + 2*t + 0*t - t + 4*t - t - 2*t - 3 + 3 + (t + 2 - 2)*(0 - 2 + 0) - 3 + 3 + 2*t).\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - h + 25 = 0, 2*h - 6 = -4*c + 8. What is the third derivative of -12*j**2 + 7*j**2 + 5*j**c + 10*j**2 wrt j?\nAnswer: 600*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1, 1, -11 in descending order.\nAnswer: 1, -1, -2, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 170 and 68.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001620307422 to 7 decimal places.\nAnswer: 0.000162","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h - 7. Let p be f(7). Let j be 4 - (2\/2 + p). Suppose 0 = -j*b - 23 + 218. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19529*q**2 - q**3 + 19487*q**2 + 15 - 10 + 2*q to the form d + t*q**3 + i*q**2 + f*q and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*f = -5*y - 26, -2*f + 13*y - 17*y - 12 = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 3861, -3, 0 in decreasing order.\nAnswer: 3861, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2102 - -3244. Suppose -19*f - w = -30*f. List the prime factors of f.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the second derivative of 9*t**3\/2 + t**2 - 10*t. Let l be d(1). Suppose -167 = -3*b - 4*q, -2*b + 81 = 4*q - l. Is b a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -126*x**2 - 7*x - 61. Let w(o) = 21*o**2 + o + 10. Give -3*d(j) - 17*w(j).\nAnswer: 21*j**2 + 4*j + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 4*i**2 - 2*i. Calculate s(2).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 3*b + 28, -5*r - 3*b + 28 = -7. Let n(x) = -r + 2*x + x + 8*x**2 + x**3 - 2*x. Let z be n(-7). What is the greatest common divisor of z and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 650915.1 milliseconds?\nAnswer: 10.848585","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**2\/4 - 78537*c\/4 - 97237569\/2.\nAnswer: 3*(c - 28457)*(c + 2278)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -170210436*-0.01\nAnswer: 1702104.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**3 + 11*g**2 + 11*g + 13. Let d be ((-15)\/(-2))\/((-3)\/4). Calculate the smallest common multiple of i(d) and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 31 = 7. Suppose 2 - a = -j. Suppose j = y + 3. Does y = 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2860\/(-352) + (-1)\/(-8).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102221212 (base 3) in base 9?\nAnswer: 12855","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 57541 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22269 = -56*z + 210149. What is the hundreds digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -90 + (134 - 194 - -55)?\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 28366\/(-87)*2\/28. Let w = b + -9\/203. Calculate the common denominator of (80\/(-198) + 12\/54)*19 and w.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/47 (b) -0.2 (c) -0.4 (d) 4 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -57*u**2. Let q(n) = -2*n**2. Calculate b(q(x)).\nAnswer: -228*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 4*w + 28 = 0, -n + 10 = -5*w - 9. Solve -2 = -m + n*x, -m - 2*x = m + 6 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and -0.0262.\nAnswer: -0.00786","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -3*k + 12. Calculate l(10).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3.85375 - 0.05375. Which is smaller: i or 1.9?\nAnswer: 1.9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 25 and 41675.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*m**2 - 7806*m - 7911*m - 7942*m + 23659*m.\nAnswer: 4*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3213901 is divided by 45.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 72*w**2 + 268*w**2 + 224*w**2 - 132*w**2 - 928*w - 56*w**3 + 640 - 4*w**4.\nAnswer: -4*(w - 2)**3*(w + 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -296 - -300. Suppose -3 = 3*k, 0*k = -4*b + 3*k + 47. Suppose c*y - 29 = b. Is y a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*j + 2*j + 2*j)*(-2 - 3 + 1) + (j - 4 + 4)*(-4 + 1 + 1) to q + i*j and give i.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -678.5 - -678. Let k = 12 + -11.6. What is the third smallest value in a, -6\/13, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 5550, 5539, 5570, 5661, 5830?\n\"Answer: 3*s**3 + 3*s**2 - 41*s + 5585","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000077945 rounded to 5 decimal places?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**3*h*h)**30*h**(-7\/4)\/(h\/(h\/(h**(-7\/4)*h))*h))**22)**(-19) assuming h is positive.\nAnswer: h**(-61864)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (13 - 18) + (-13 - (-7 - 0))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 8*r**3 - 47*r**2 - 43*r + 57. Give z(6).\nAnswer: -165","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 17.6 less than -0.1491?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -181 (base 12) to base 14\nAnswer: -133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -32*f**2 - 39*f**2 - 42*f**2 + 108*f**2 - 2205 - 210*f = 0?\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3319 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of 61738028 and -0.5.\nAnswer: -30869014","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2341?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 105 - 1993\/19. What is the biggest value in l, -0.09, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 246*m + 3410. Give l(-14).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1766, -14992, -50890, -120794, -236038, -407956, -647882?\nAnswer: -967150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*m**5 + 15*m**4 - 42*m**3 + 6*m**2 + 39*m - 21.\nAnswer: 3*(m - 1)**3*(m + 1)*(m + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 2686 = 4*g, -4*g - g + 3*j + 3358 = 0. What is g rounded to the nearest 10?\nAnswer: 670","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (62\/(-6)*3)\/(2\/(-50)). Suppose -t + 6050 = 5*c. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**2 - 2*s - 1. Let n be b(-1). Solve n*x = 3*k, -4*k - 3 - 1 = -4*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 639951 is divided by 474.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1273\/4 + -313. Let v = 131\/28 - w. What is the third smallest value in -2\/11, 6, -1, v?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:15 PM and 6:59 AM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4317224137?\nAnswer: 17, 19, 2003, 6673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 9949, 19939, 29929, 39919?\n\"Answer: 9990*g - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a*a*a\/(a*a**11)))**32*a*(a*a*a**(-6))\/a*a**(-5\/11) assuming a is positive.\nAnswer: a**(3471\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 5 - 5)*(-o - 2*o - 2*o)*(-2 + 2 - 2*o**3).\nAnswer: -30*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 49 = -3*y + 7, -33 = 3*y - b. Let a = 20 + y. What are the prime factors of a?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l - 14*l - 110 = -l for l.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-700)\/392 - (-6)\/4. Let j = -4.5 - -5. Which is the nearest to 0.1? (a) j (b) h (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 10*j**2 + 2. Let t be r(4). Let x(a) = a**3 + 8*a**2 + 9*a. Let l be x(-6). Calculate the highest common divisor of t and l.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 13.8214 and 5.\nAnswer: 69.107","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 + 44a?\nAnswer: 445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 1863\nAnswer: 2\/1863","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2 - (2 + -1)) + 1. Let l = n - 2. Suppose -4*p + l*p**3 + 6 - 2*p**4 + 4*p**3 - 3 - 1 = 0. Calculate p.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wahaaoapahaaapaho. Give prob of picking 2 h and 1 a.\nAnswer: 27\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7427770 is divided by 90.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 83\/20 or 3?\nAnswer: 83\/20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - a = 3*y + 17, 0 = -a + 3*y + 14. Let m be a - (-8 - (-3 - 1)). Let p be (m\/(-12) - 5\/(-20))\/(-2). Solve -2 = o - p for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0\/1)\/(-1*2). Suppose 22*d - 58 + 13 = 21. Is 9 a factor of ((d - 4)*-4 + r)*4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8905*c - 1677 = 8866*c for c.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 644 and 7084.\nAnswer: 7084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are 2\/13837 and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -121369291 times -0.5\nAnswer: 60684645.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((132\/(-8))\/11)\/((-6)\/20)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) 0.02 (c) -2 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.01 minus 0.037981272?\nAnswer: 6.972018728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 1 - 11. Let o(j) = -j**2 - 4*j + 7. Calculate the least common multiple of 6 and o(w).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 536 - 436 = 10*b for b.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -30820, -61641, -92462, -123283, -154104, -184925?\nAnswer: -215746","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.051 and 27.87.\nAnswer: 1.42137","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 3300*t + 50. Let a(n) = 194*n + 3. Determine -35*a(c) + 2*g(c).\nAnswer: -190*c - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2)*1*-5 + (0 + sqrt(2))*-2.\nAnswer: -7*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -4*k**2 - 2*k + 1. Let f(d) = -7*d**2 - 3*d + 2. Suppose 4*w - 12 = 8. Let r(m) = w*t(m) - 3*f(m). Does 14 divide r(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3116854732 - -0.03\nAnswer: 3116854732.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 10 = -2, 3*d - 2 = -4*v. Let g be ((-20)\/2 - v) + 0. Calculate the remainder when 29 is divided by -12*3\/g*2.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(126)*-2 + sqrt(14))\/((sqrt(2) + sqrt(2) + -1*sqrt(2))*-1)*-1.\nAnswer: -5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 314 - 304. Suppose -p - 774 = -q*p. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -57*c**3 + 82*c**3 - 266*c**3 - 306*c**3.\nAnswer: -547*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1055191638 to the nearest integer?\nAnswer: 1018","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the first derivative of -5*y**2\/2 + 4*y - 111. Let q(f) = 5*f - 3. What is -5*g(u) - 6*q(u)?\nAnswer: -5*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 2 - 9*y - 1 + 7*y.\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (26\/(-1508))\/((-9)\/(-540)*15)?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -2343*g. Let d(f) = 11*f**2. What is p(d(h))?\nAnswer: -25773*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 955 + 950 - 2827 - 35*k + 948. Let o(q) = -5*q**2. Calculate o(c(x)).\nAnswer: -6125*x**2 + 9100*x - 3380","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 848347807?\nAnswer: 848347807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 11 = 14. Let w = -4 + f. Calculate the remainder when 1 is divided by w.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.176948 to 3 dps.\nAnswer: -0.177","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 4197527530 + -6.684\nAnswer: 4197527523.316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.404431 rounded to three dps?\nAnswer: -7.404","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -l**2 - 17781393*l = 0.\nAnswer: -17781393, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l\/((((l*l*l*l*l\/(l*l\/(l\/(l\/l**(2\/3))))*l)\/l)\/l)\/l)*l))**(3\/11)\/(l*l\/(l**(-2\/15)*l)*l*l*l*l**7) assuming l is positive.\nAnswer: l**(-1807\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3409?\nAnswer: 7, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 179\/242850 and -58\/373989.\nAnswer: 18699450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 84 - 24. Suppose 0 = -5*z + z + d. What are the prime factors of z?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4.47 + -4.536. Let v = -137.066 - o. What is the third biggest value in -5, -2\/5, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 1 = -11. Let g = r - -56. List the prime factors of g.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18756013 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 5*x**3 + 4*x**2 + 2*x + 5. Let v(u) = -6*u**3 - 4*u**2 - 3*u - 6. Let k(r) = -7*j(r) - 6*v(r). Let y = 2 + 1. List the prime factors of k(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 449 and 410835.\nAnswer: 449","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -35 + 37. Let u be 2 + g - 5 - -18. Suppose p = 73 - u. What are the prime factors of p?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8807913*q**3 + 2*q**2 + 5108103*q?\nAnswer: 52847478","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/(7 - 4) + 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2c4975 - -100?\nAnswer: -2c4875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 4*s + 10. Find the common denominator of (-805)\/(-110) + -6 + 1 and 1\/((-36)\/21) - s.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the third derivative of -q**8\/1848 + q**6\/220 - q**5\/165 + 11*q**2. Determine c so that h(c) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(228)\/sqrt(432))*-3 - ((0 + -1*sqrt(1216))**2 - ((sqrt(1216) - (-2*sqrt(1216) + sqrt(1216)) - sqrt(1216))**2 + 0 - sqrt(1216))).\nAnswer: -17*sqrt(19)\/2 + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 319 + 2\/(-1 - (-28)\/20). What is the greatest common divisor of i and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 times -4602\nAnswer: 4602","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 735681 (base 9) to base 14\nAnswer: b54aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hd when two letters picked without replacement from dddhh?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1973 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 2109575?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 156 (base 9) to base 6\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 142 - 425?\nAnswer: -243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-242)\/605)\/((-896)\/(-35))?\nAnswer: -1\/64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 6.1096 weeks?\nAnswer: 3695086080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -3*j**3 - 10*j**2 + 12*j + 32. What is t(-2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 21 - 2*i - 9*i**2 - 13*i**2 - 3*i - 12*i**2 + 36*i**2 in the form j + f*i + u*i**2 and give f.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8802824005?\nAnswer: 5, 1760564801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.00828, -2, 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 431564340?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 137835 is divided by 137813?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 572*p = -1420 - 1440 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -3*q - 2. Suppose c = -2*w + 15, -3*c - w + 11 = -49. What are the prime factors of 7\/q*12\/c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 2*a**3\/15 - 18220*a**2\/3 + 30366*a\/5 = 0.\nAnswer: 0, 1, 45549","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.3 and -1757.\nAnswer: -1756.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -5 (b) -1.61 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g - g - 2*g)*(2*g - 2 + 2) + 0 + 0 + 2*g**2.\nAnswer: -10*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 5*f - 63 = -0*o, 0 = -4*f + 12. What is the greatest common divisor of 2 and o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5 (b) 9.1 (c) -22175 (d) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q = -50 + 41 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -2*a + 29. Let r be q(14). Let x(h) = 20*h - r - 4*h - 5 - 12*h. Calculate the remainder when 52 is divided by x(5).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 63 (b) -2 (c) 7 (d) -15 (e) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-105)\/245 + 50\/(-14)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p - 9. Let m be l(13). Suppose 10 - 14 = -2*o. Suppose -3*i = 4*k + 6 + 2, -3*k = 15. Solve m*n + i*b = 0, -1 - 1 = o*n + b for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(102)\/(sqrt(18)\/sqrt(3)) + (sqrt(136)\/sqrt(4))\/sqrt(2).\nAnswer: 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6816428994?\nAnswer: 2, 3, 23, 991, 49843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 31452 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**2 - 12*p + 1. Suppose -117 = 2140*l - 2149*l. What is g(l)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:55 AM and 7:46 AM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/108 and -34\/81?\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmljllmlelljere. What is prob of picking 1 j and 1 e?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**2 + 20*f + 1. What is n(18)?\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zw when two letters picked without replacement from {z: 1, f: 3, j: 2, w: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 11*g**2 - 84179*g - 168390. What is v(-2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5\/20 - (-22)\/8. Suppose 0 = -o*u + 7 + 17. What is the second derivative of 3*j**2 + 3*j**2 + 0*j + u*j wrt j?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4\/11 - 2\/11*n**2 - 6\/11*n = 0. Calculate n.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -91529.691 - -91575. Let c = m + -45.3. Which is smaller: c or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 88487218.\nAnswer: 2, 19, 179, 13009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.38 - 0.08. Let m = -0.3 + r. Let h = -0.3 - -3.3. What is the nearest to m in 3\/8, h, -1?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77360683 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -0*w - 2*w. Suppose -3 - 7 = -w*p. Calculate the least common multiple of p and 3.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a*a\/(a\/a**(-2\/7))))**(2\/103)*(a*a**(2\/13)*a)\/a**(6\/7) assuming a is positive.\nAnswer: a**(12206\/9373)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 73695?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 934913?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -114*t - 105*t + 17*t**2 + 452*t + 9 - 114*t - 121*t in the form h*t**2 + i*t + w and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0012913 to 5 decimal places.\nAnswer: -0.00129","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) -45 (c) -1 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes after 2:31 PM?\nAnswer: 12:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**3 + 19*x**2 + 73*x - 72. Let o be a(-7). Solve 0 = 4*r - o*s + 31, 11*r - 8*r = s - 15 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1276249670 from 174.72.\nAnswer: -1276249495.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 28 and 1118684?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the third derivative of r**4\/24 - r**3 + 3*r**2. Suppose 20*d - 8*d = 144. Is i(d) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((1*sqrt(120))\/sqrt(12))\/sqrt(5).\nAnswer: 1 + sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**3 - 4*k**2 + k. Let i be q(4). Find the second derivative of 192*f**4 + f**3 - 2*f - f**3 - 195*f**i wrt f.\nAnswer: -36*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8356 + 41781\/5. What is the third smallest value in -0.157, -4\/11, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -2*r**2. Let g(f) = -7*f**3 + 8*f**2 + 6*f. Calculate g(d) + 4*q(d).\nAnswer: -7*d**3 + 6*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 41638?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the first derivative of -35*f**2\/2 - f - 1. Let o(z) = -z**3 - 7*z**2 - 3*z - 3. What is the remainder when n(-2) is divided by o(-7)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 + -1 + 0)\/1. Suppose -4 - 2 = -2*z - 4*n, n = d. Find the second derivative of z*o**4 + 5*o + 6*o - 3*o - 4*o wrt o.\nAnswer: 36*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -141*h - 5420. Determine l(-35).\nAnswer: -485","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pppppphpppppppp. What is prob of picking 3 p?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 33*a**2 + 10*a - 27. Let t be p(5). Let r = -59351\/70 + t. What is the common denominator of r and -83\/22?\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*k**2 - 13*k**2 - 10*k**2)*(-1 - 1 - 1)*(-1 - 1 + 3 + (-3 - 2 + 3)*(0 - 2 + 0)) to o + n*k + p*k**2 and give p.\nAnswer: 375","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -6 (b) -2 (c) -14324\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = g - 7, 4*n - g - 13 = -5. Let c be (0 + -12)*80\/(-640). Let -13\/4*j**2 + 0 - 5\/4*j**n + c*j = 0. Calculate j.\nAnswer: -3, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/2*p**2 - 2154*p - 773286.\nAnswer: -3*(p + 718)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24 + 24 + 17*u.\nAnswer: 17*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 7 + 19 = 4*a, 3*a - 14 = -5*l. What is the tens digit of 144\/l + 1 + 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3633 (base 11) to base 4\nAnswer: -1022103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 10009880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 576 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 108 is divided by 44.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -4, 2, 14, -23, 167 in decreasing order.\nAnswer: 167, 14, 2, 0, -4, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 2*s. Let k(n) = -5*n**2 - 3*n + 18. Let x(g) = -9*g**2 - 4*g + 18. Let d(m) = 4*k(m) - 3*x(m). What is q(d(y))?\nAnswer: 14*y**2 + 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 7}. What is prob of picking 2 s?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g - 9 - 16. Suppose -24 = -g*s - 4. Solve s*u = -0*u - 16 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*r - r + r)*(-9 + 2 + 21)*(1 - 2*r - 1) as q*r + w + x*r**2 and give x.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -20, -6, -0.7, 0, 8 in increasing order.\nAnswer: -20, -6, -0.7, 0, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 81 a factor of 324?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 4*q + 12. What is w(-6)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*q = -28*q - 12000. Round q to the nearest one thousand.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -57, 8, -0.4 in decreasing order.\nAnswer: 8, -0.4, -57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 70 = 4*p, 4*p + 2*y + 18 = 94. Let l = -22 + p. Which is smaller: l or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 1528*x + 501 - 526 - 1519*x. Calculate u(15).\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -10*l**3 - 123*l**2 - 343*l + 483. Let g = 56 + -60. Let r(q) = 5*q**3 + 61*q**2 + 171*q - 241. Let z(d) = g*h(d) - 7*r(d). Factor z(o).\nAnswer: 5*(o - 1)*(o + 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*j + 4*j + 80 - 10 = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1568 greater than 5410?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the second derivative of n**4\/12 + 2*n**2 - 9*n. Let u be b(-3). Let j(q) = -q**3 + 14*q**2 - q + 19. What is the hundreds digit of j(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -283, -272, -75, 290, 805, 1452, 2213, 3070?\nAnswer: 4005","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w + 15. Let x be d(-13). Suppose 2*m + x*b - 59 = 111, -3*b + 6 = 0. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 141678 and 1224.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 416 + -1235\/3. Is 3 greater than or equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9896 and 13320?\nAnswer: 16476840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**3 + 4*b**2 - 5. Let n be p(5). Let v = n + 33. Suppose 0 = 5*d + 5*h + 19015, 6*h - 11385 = v*d + h. Round d to the nearest 1000.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + 4 + 16 + (-5 - -1) - 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12394 + -247967\/20. Find the common denominator of y and 7\/45.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12121211021 (base 3) to base 16.\nAnswer: 1b058","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**3 + 7*h**2 + 2*h - 3. Let j be o(7). Let p = 173 - 110. Let n be (-2)\/9 - (-77)\/p. Solve n = 3*w - j for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.08 (b) -3 (c) 4 (d) -17\/6 (e) -29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2112118?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 92 + -89. Calculate the remainder when 7 is divided by w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 204?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -191970 + 288553. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 0.4333229 nanograms?\nAnswer: 0.0004333229","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0\/(2\/(-2)))\/1. Suppose k = -4*m + 5*h - 5, 3*h - h - 20 = -2*m. Let a = -172 + 156. What is the third biggest value in -2, a, m?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 5*u**2 + u + 2. Let y be g(2). Suppose 2*i + 86 = y. Let w = -18 - i. What is the highest common divisor of 13 and w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (4 + -1)\/(-6 + 7). Suppose -5*p + 10 = k - 10, -4 = -p + 2*k. Solve r = f*r + p for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqqqxxxqqq. What is prob of picking 1 q and 2 x?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 5*w = -42 - 36, -5*w - 130 = 5*d. Let y = -23 - d. Let g(b) = b**2 + b + 2. Let t be g(0). Solve -y = a, -t*k + 2*a + 12 = -2*a for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -90, -0.4 in ascending order.\nAnswer: -90, -4, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 176 is divided by 34.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the third derivative of 3*u**2 - 2\/945*u**7 - 2 - 1\/54*u**4 - 11\/1080*u**6 + 0*u + 19\/540*u**5 + 0*u**3. Factor o(m).\nAnswer: -m*(m - 1)*(m + 4)*(4*m - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -136 - 15914*g**3 + 272 - 16638*g**3 - 136 + (3 - 1 + 0)*(-3*g**2 + g**3 + 3*g**2).\nAnswer: -32550*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 + 24 = 17*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 - 1. Let d(p) = p. Let u(b) = 3*b - 2. What is a*u(h) + d(h)?\nAnswer: -2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 1 w when three letters picked without replacement from plpplvw.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2772643 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3.3 - -2.65. Let v = d - 27.35. Let p = v + 31. Which is the closest to -0.1? (a) p (b) 0.2 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = z - 137, -z - 371 = -4*z + 5*k. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1822, 21, 1866, 3713, 5562?\nAnswer: 7413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 18826455 and 620.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.8, 4, -1\/2, -2\/5 in descending order.\nAnswer: 4, 0.8, -2\/5, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -o**6 - 11632281*o**3 - 22*o**2 - 596977*o wrt o.\nAnswer: -120*o**3 - 69793686","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9941805?\nAnswer: 3, 5, 73643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 18947 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) 9 (c) 0.024 (d) -2\/11 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/6, 5, 1782935?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 232?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 273 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 675980646?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10 - -14. Let j be d\/10 + 952\/20. Suppose 6*q - 4*q = j. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*y**5 - 84*y**4 + 212*y**3 - 72*y**2 - 270*y + 108 = 0. What is y?\nAnswer: -1, 2\/5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 2*p**2. Let n(y) be the second derivative of 13*y**3\/6 - y**2\/2 + 12*y. Let o(c) = -c - 1. Let x(r) = n(r) + o(r). Determine s(x(l)).\nAnswer: 288*l**2 - 96*l + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = q - 3, 3*q + 4*l - 6 = q. Suppose -4*g = -3*h - 12, 2*h + 8 = -0*g + g. Let d = g + q. What is the third smallest value in d, -0.5, 1\/2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -2882, -2841, -2774, -2681, -2562?\n\"Answer: 13*h**2 + 2*h - 2897","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1978? (a) -1 (b) 0.5 (c) 1.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**3 - 7*r**2 + 10*r - 8. What is the remainder when k(9) is divided by ((-21)\/(-1260)*-12)\/(2\/(-620))?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 89702673 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16586, 33173, 49760, 66347, 82934, 99521?\nAnswer: 116108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 68 and 5259154.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 100 in -51, 31, -0.4, -2?\nAnswer: 31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssscsdcdusssusudsssc. Give prob of picking 1 u, 1 d, and 1 c.\nAnswer: 9\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**2 - 18*x + 5. Let v be ((-21)\/3 - -5) + -16. Let q be n(v). Solve 0 = q*k - 6 - 19 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -186, -346, -508, -672, -838?\nAnswer: -1006","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -1, -5, -40, -205 in decreasing order.\nAnswer: 5, -1, -5, -40, -205","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 350869357 divided by -5.\nAnswer: -350869357\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 241*x**2 + 2*x + 23. Is h(10) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4.12 + 4.02. Which is the closest to z? (a) -0.05 (b) 0 (c) -0.3 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 4 + 14\/9*y - 20\/9*y**2 + 2\/9*y**3 = 0.\nAnswer: -1, 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1884*m + 811*m - 353*m)*(3*m - 4*m + 3*m) + 0*m**2 - 3*m**2 + m**2.\nAnswer: 4682*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 5*u = -4*u + 67, u + 3 = 0. What is the least common multiple of y and 8?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-11)\/15 + 2\/5. Let f = 11 - 12. Put n, -2\/9, f in descending order.\nAnswer: -2\/9, n, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69076136429 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:01 PM and 11:01 PM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11099.\nAnswer: 11, 1009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-1*3*4*(sqrt(4) + sqrt(100)))\/((sqrt(98) - 6*(sqrt(98) + sqrt(98)*-2)) + sqrt(98) - sqrt(98) - 2*sqrt(98)*6).\nAnswer: -72*sqrt(2)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 18.99 - 19. Let v = d - 0.99. Let k = 3 + -3.2. What is the nearest to v in -1, 0.4, k?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -13 - -1320a?\nAnswer: 131c7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 975.\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**2 - m + 2. Suppose -7 = 11*i + 15. Determine b(i).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 108668625 a multiple of 195?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65 = -3*k + 67. Let d = 65 - k. Is d a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1512907128 to the power of 1\/4, to the nearest integer?\nAnswer: 197","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 2 + 2 = 0, 4*n = -3*v + 30. Suppose 0 = g + 4*g - 5*b - 5, g = -5*b - 17. Let j be 1\/2*-1*g. What is the greatest common factor of j and n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/(c**(18\/13)\/c)*(c**(-15)\/c)\/c)**33)**(-4\/19))**(-2\/53) assuming c is positive.\nAnswer: c**(-56232\/13091)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -5*a - 2. Suppose -3*k - 3*h + 3 = 0, 11 = -a*k + k + 3*h. Let j be (1 - 0)*(-3)\/k. Solve -j*u - m = -9, -m = -u + 4*m + 3 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 187881326?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the first derivative of 2\/3*z**3 - 25\/24*z**4 + 0*z + 12 + 1\/12*z**5 + 0*z**2 - 1\/360*z**6. Let u(i) be the third derivative of v(i). Factor u(w).\nAnswer: -(w - 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -19*l**3 - 9*l - 4. Let b(g) = g**3 + g**2 + 1. Let h(y) = -5*b(y) - i(y). What are the prime factors of h(2)?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h - 2 = 3*h - 2*k, 5*h - 4*k + 6 = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 113019228 + 9*v**2 - 113019228 - 10*v**2 - 8*v**2.\nAnswer: -9*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77642 + 78682 = -104*q for q.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve t**2\/3 - 29*t + 86\/3 = 0.\nAnswer: 1, 86","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -13\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10267788?\nAnswer: 2, 3, 79, 10831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -589 divided by -5.\nAnswer: 589\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the first derivative of 1 + 3\/2*a**2 - 6*a. Let z be i(3). Solve 3*o = -5*d - 15, 5*o - z*d = 2*o + 9 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1671 + 1674. What is the third biggest value in -7, o, -0.75?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -2 (b) 11\/9 (c) 5 (d) 0.474\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -208, 0.3, -1\/8?\nAnswer: -208","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 19396\/9 bigger than -2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -2*l - 5. Let r(w) = 8*w + 9. Let z(g) = 39*g + 45. Let v(u) = -24*r(u) + 5*z(u). Let m(n) = 9*t(n) + 5*v(n). Give m(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 638 and 81318.\nAnswer: 25940442","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23402014 is divided by 2937.\nAnswer: 2935","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the third derivative of 13*j**7\/42 - j**5\/60 - 565*j**4\/24 - 3*j**2 - 47. What is the second derivative of s(b) wrt b?\nAnswer: 780*b**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 103119 is divided by 103118?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 + -6. Let h(o) = -5 + 5*o - o + 85*o**3 - 87*o**3 - 4*o**2. Calculate the remainder when h(l) is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23869 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -31*z**2 + 9*z**2 - 3*z**2 to the form l + k*z + i*z**2 and give i.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 t, and 1 c when three letters picked without replacement from datctttatacacta?\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(65) - -5*(-2*sqrt(65) - sqrt(65))) + sqrt(65))\/sqrt(5) - ((sqrt(65) - ((sqrt(65) - sqrt(65)*2) + sqrt(65)))\/sqrt(5) + 4).\nAnswer: -14*sqrt(13) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -37 + 40 + 0 + -6.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 275 - 291 = -2*y for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 5*k, 3*y + 2*y + 4*k = -16. Suppose y = 4*p - 6*p + 382. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -3*y, 0 = y - 7*h + 3*h. Let t(l) = -l**2 - l + 14. Let i be t(y). Suppose 4*q = 3*p + i, -4*q + 12 = -0*p - 4*p. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 194 = 4*g - 2*b, -3*b - 199 = -3*g - g. Suppose -3*c = -175 + g. Suppose m - 6 = c. What is the tens digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -392*f - 1544. Calculate s(-4).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.1 (b) 613 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*l**2 - 11*l**2 - 16*l**2 - 4596*l**3 + 39*l**2 - 13*l**2 + 9133*l**3 - 4535*l**3.\nAnswer: 2*l**3 - 9*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13567697?\nAnswer: 11, 13, 79, 1201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 605 and 18513?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*n + 6*n - 2*n)*(3*n**3 - 6*n**3 + 5*n**3) + 9*n**4 + 0*n**4 - 22*n**4 - 2*n - 3*n**4 + 2*n + (0*n + 3*n - 2*n)*(-n**3 + 0*n**3 - 2*n**3).\nAnswer: -17*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 5*m**3 + 7*m**2 + 5*m + 1. Let y be p(-5). Let t = 678 + y. Let g = t - 128. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 829656659 to the power of 1\/3, to the nearest integer?\nAnswer: 940","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 204*d**2 + 20*d - 1. Let n(x) = -613*x**2 - 57*x + 3. Calculate 6*n(z) + 17*t(z).\nAnswer: -210*z**2 - 2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**3 + 3*k**2 + k - 1. Let g be f(3). Suppose -j + 36 = 4*q, -3*q = -g*j - 5 + 77. Does 10 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s + 8, 25 + 15 = 3*h + s. Let j be h\/8 + 2\/8. Suppose 0 = 13*i - 5*i - 24. Solve -2*z - 3 = -a + 10, -i*a = -j*z - 23 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*b**3 - 2*b**3 - b**3 + 2 in the form p*b**3 + f*b**2 + o*b + t and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -2\/221886665?\nAnswer: -2\/221886665","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15 - (0 - 14)) + (3 - -3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -99 + 101. Suppose 0 = s*r - 4*r + 3*x + 572, -r + x + 286 = 0. Suppose 4*c = 4*i + 652, -r = -4*c + 5*i + 368. List the prime factors of c.\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5332332 - 12?\nAnswer: -5332344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*t = 5*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 + -18. Let g(q) = q**3 + 11*q**2 + 9*q + 4. Let l be g(r). Suppose -b - b + 4 = 0. Solve b*c + a = l, -3*c + 5*c + 3*a - 22 = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + u = -7, -u + 5 = c - 4*u. Find the first derivative of 2*m**2 + 3*m**c + 3 - 3*m**2 + 3*m**2 wrt m.\nAnswer: 10*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2184\/(-588))\/(-24 + (-20975)\/(-875))?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 157*b - 160*b + 252 = 0. Suppose -3*f + 2*k + b = 0, -5*k + 13 - 118 = -4*f. List the prime factors of f.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3068632 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, q: 3, d: 3}. What is prob of picking 1 a and 2 q?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l + 4. Let a be m(0). What is the tens digit of a\/(-12) - (-98)\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -178 + 180. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1221121 (base 3) to base 8\nAnswer: 2614","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27148991 is divided by 1192.\nAnswer: 1191","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 131198335 is divided by 32?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence krvo when four letters picked without replacement from rrvvkavvkvvko?\nAnswer: 3\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 1805 divide 11566440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -140 by 385448.\nAnswer: -5\/13766","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.1, 35, 30, 2, -1\/61?\nAnswer: -1\/61","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5656341710?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n - 3*y = -18, n + 5*y - 9 - 15 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -2*g. Let o(b) be the second derivative of 7*b**4\/12 + 2*b. Calculate o(d(u)).\nAnswer: 28*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 o and 1 w when four letters picked without replacement from oxllllolsonnw?\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t**2\/15 + 6475588*t\/15 + 5241654993218\/15 = 0. Calculate t.\nAnswer: -1618897","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -3, 2\/3143, -31?\nAnswer: 2\/3143","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -303232 - -201331?\nAnswer: -101401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g + 4. Let w be o(3). Suppose -2*f - 16 = j - 6*f, 4*j + 9 = 5*f. Suppose -9 = -j*c - w. Sort c, -1, -1\/9 in increasing order.\nAnswer: -1, -1\/9, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.5 - 0.1. Suppose 0*w = -w. Let j be -9*(-105)\/540*(-3)\/(-21). What is the closest to w in 0.1, n, j?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82389755.4 rounded to the nearest 100000?\nAnswer: 82400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 90 and 9330?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**3 + 4*b**2 + b - 4. Let q be h(-4). Let z be (-1 + q)*(-1)\/3. Let w(i) = 2*i + 3*i - z*i - 3*i. Let a(l) = 4*l. What is w(a(d))?\nAnswer: -4*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 3*z - 1 = -19, -5*k + 19 = 2*z. Suppose -b + 2*s = -s - 12, 3*b - s - 44 = 0. Factor -b*y**4 - 3*y**2 - y**3 + k*y**5 + 18*y**4 - 2*y**3.\nAnswer: 3*y**2*(y - 1)*(y + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 398 - 790. Let o = 3947\/10 + f. What is the common denominator of -51\/2 and o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 51 - 7?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o - 3*o - 6 = 0. Suppose -2*f - r = 3*f - 335, o*f - 137 = -r. What is the remainder when f is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -17621 - -17619. Let v = -110 - -326\/3. Let x = 2 + 0. What is the smallest value in b, x, v?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**3 - 13*m**2 - 18048*m - 170. What is y(-128)?\nAnswer: -170","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-11)\/44)\/((-16)\/832)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 524703456 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 5*a**3 - 4*a**2 + 2*a + 6. Let j(t) = -14*t**3 + 11*t**2 - 5*t - 17. Give -6*j(d) - 17*r(d).\nAnswer: -d**3 + 2*d**2 - 4*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 112*l**2 - 56*l + 6. Let j(y) = 37*y**2 - 19*y + 2. Let d(v) = 5*a(v) - 14*j(v). Find the second derivative of d(t) wrt t.\nAnswer: 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 2*t + 0*t + 26 = 0, 3*y + 3*t = 36. Suppose -5*x + 5 + y = 0. Suppose -143 = 13*j - 24*j. Solve 0 = -m + 2*w + x + 8, -3*m + j = -w for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 5*z - 67. Give l(3).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(11) + -3 + 0 + sqrt(11) - (sqrt(11) + -1 + 2).\nAnswer: -4 + sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.035599 rounded to two dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes before 11:54 PM?\nAnswer: 12:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 + 5\/2. Let u = -0.4 + 0.3. Let m = 47.26 - 47.16. Sort c, m, u in descending order.\nAnswer: m, u, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2\/(-21))\/(3\/30). Let c = y - -271\/42. Let l = 7337\/4 - 1825. Calculate the common denominator of l and c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1110 - -203242?\nAnswer: 204402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 88 = -68. Let c be (-57)\/(-95) + (-67)\/n. Sort 4, c, -4.\nAnswer: -4, 4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 762 = 6*n - 498. Is 21 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 bigger than 257\/21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the third derivative of u**6\/120 - 3*u**5\/20 + 4*u**2. Let v be o(9). Suppose 0 = -v*z - 3*z + 150. Is 17 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oov when three letters picked without replacement from oooooovooooooooooooo?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 3*m**2 - 32*m - 6. Suppose 0 = 73*z - 80*z + 77. Let s be d(z). Solve -3*r - 10 = -b, -4*b - 3*r + 20 = -s*r for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3 + 10 + 3 + 0 + -7. Suppose 4*g - 5*d - 268 = 180, 5*g = o*d + 573. List the prime factors of g.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -23 - -29. Suppose -44 = s*d - 8. List the prime factors of (16\/(-3))\/(d\/9).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -55*n - 2. Let o(f) = -879*f - 33. Let r = 3651 - 3653. What is r*o(l) + 33*k(l)?\nAnswer: -57*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -25, -5, 35536?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 27*h**2*l**3 - h**2*l**2*o**2 - 9*h**2 - 7*h*l**3*o**2 + 161*h*l**2*o - 4*l**3*o**2 - 3*o**2 wrt l.\nAnswer: 162*h**2 - 42*h*o**2 - 24*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.04 - 0.26. Let x = 9.2 + -9.7. Which is the third biggest value? (a) w (b) -2\/11 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/((-16)\/(-4)))\/1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/27)\/(8\/(-12))*(-15)\/85?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from krooqke. Give prob of sequence kke.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -21*m - 2. Let d be s(4). Let q = d + 89. Solve -z = -2*z + q for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 244683173 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -58 + 54. Let i = 172 + -166. Put i, 0, z in increasing order.\nAnswer: z, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b**2 + b + 0*b**2 - 4*b + 1)*(-3*b - 3 + 3).\nAnswer: 3*b**3 + 9*b**2 - 3*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 666000 to the nearest ten thousand.\nAnswer: 670000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, n: 19}. What is prob of sequence nn?\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -997 divided by 21653\nAnswer: -997\/21653","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gms. Give prob of sequence sgm.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 61986 (b) -0.3 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 31.1 + -26.1. Let w = 3 + -2. Let x be 8\/10*15\/6. What is the third biggest value in w, a, x?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2227373 divided by 4?\nAnswer: -2227373\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 41 + 2. What is the tens digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25 is divided by 3\/(-5) - 504\/(-40)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the second derivative of -19\/48*x**4 + 9\/20*x**5 + 0*x**2 - 38*x + 0 + 1\/12*x**3 + 14\/15*x**6 - 40\/21*x**7. Factor i(o).\nAnswer: -o*(4*o - 1)**3*(5*o + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21966 is divided by 130.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17 + 5*o**3 + 7 + 2*o**2 + 8 to the form p + l*o**2 + h*o + n*o**3 and give n.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.16 - -0.1455. Round y to three dps.\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 203*v + 333*v + 7504 for v.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -57, -0.1, 1\/3 in ascending order.\nAnswer: -57, -0.1, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13937889 and 231.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 22 + 5*m - 5*m - 21 + 4*m to u + q*m and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.104644 + 4.853056. Round v to 2 dps.\nAnswer: 4.96","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(1\/7))**(-9\/13))**36 assuming k is positive.\nAnswer: k**(-324\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.067 (b) 2\/7 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1093, -1076, -1059, -1048, -1049, -1068, -1111, -1184?\nAnswer: -1293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 13 = -2*d + 4*d, d - s - 11 = 0. Suppose 156*p = 160*p - d. What is the lowest common multiple of 6 and p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**5 - d - 2. Suppose z + 0 - 4 = 0. Let x = 12 + -18. Let r(k) = -k**5 + k**4 - k**2 - 2*k - 3. Let q(c) = x*a(c) + z*r(c). Factor q(m).\nAnswer: 2*m*(m - 1)*(m + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -557*p + 130*p + 165*p + 132*p + 125*p.\nAnswer: -5*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(28)\/sqrt(4) + -1)*4)**2*6.\nAnswer: -192*sqrt(7) + 768","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10342144 and 2845?\nAnswer: 569","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -69*v - 53352 + 52869 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.9, -8\/3, -7, -1\/4, 0 in decreasing order.\nAnswer: 0.9, 0, -1\/4, -8\/3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -160 - -163. Solve w*n - 10 = 2*r, -2*n = 2*r + 3*r + 6 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -8*n + 26. Determine p(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nrtt when four letters picked without replacement from {n: 2, t: 6, s: 10, r: 2}?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -4*m**2. Let z(w) = -76*w**2 + 70*w**2 + 40*w**2. Give z(b(p)).\nAnswer: 544*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes before 11:59 PM?\nAnswer: 7:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(105)\/sqrt(5)*1)\/(-4*sqrt(63)).\nAnswer: -sqrt(3)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence krrq when four letters picked without replacement from prsdrqqrkdrssrspppdp?\nAnswer: 1\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g + 45 = 2*s - 33 + 122, 2*s = -g - 2*g + 28 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 23668945 to the power of 1\/3, to the nearest integer?\nAnswer: 287","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 292 is divided by 85?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*g**2\/2 - 162277*g\/2 + 32455 = 0. Calculate g.\nAnswer: 2\/5, 32455","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2036 is divided by 24.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(275))**2 - sqrt(11))*6.\nAnswer: -6*sqrt(11) + 14850","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1554 and 471.\nAnswer: 243978","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*x - x - 3*x)*((-2 + 3 + 1)*(-23 + 23 - 3*x) + 315 - 315 + 26*x + x + 0*x + x) to the form t*x + u + v*x**2 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*p + 108 = -33*p. Is 0.2 not equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -103361\nAnswer: 5\/103361","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1584) + 5 + sqrt(1584)*-3 - sqrt(1584))**2.\nAnswer: -360*sqrt(11) + 14281","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.0182 (b) 0.2 (c) 2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2485.713 millilitres to litres.\nAnswer: 2.485713","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2756 in 1\/24, 0, 3\/41?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 14*g + 220. Let r be f(-16). Suppose -4*j = -0*j + 3*y + 23, -3*j = 2*y + 16. Sort r, j, -62 in decreasing order.\nAnswer: j, r, -62","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.92 + -0.22. Let l = 30.3 + y. Let f = l + -33.5. What is the nearest to -1 in -5, 0, f?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -97433 = -81*h - 99620 for h.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3*f - 4*f - 3)*(85*f - 32*f + 191*f).\nAnswer: -244*f**2 - 732*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 5, 1.3, 9, 1, 4.7, 0, 9\/11?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2, 0.7536, 4 in decreasing order.\nAnswer: 4, 0.7536, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4068*c - 110664 - 90988 = 107121 - 44353 for c.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2051 is divided by 108?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3 - 8\/6*3. Let b = h + 0. What are the prime factors of (-3 - 2\/b)*-6?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zqzj. Give prob of picking 1 q and 1 z.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1333 + 210230201?\nAnswer: 210222202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16 - 10) + -1 - (1 + -2).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1 (b) -3\/5 (c) -3 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the second derivative of -13*l**3\/6 - 832*l. Let w(a) = -5*a. Calculate w(y(h)).\nAnswer: 65*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3298?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 4 + 0 = 0. Suppose -w + 757 = -3*r, -3*w - o*w + 991 = -4*r. Let p = 2792\/11 + r. Which is the smallest value? (a) p (b) -5 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 249? (a) 24 (b) -1\/4 (c) 8 (d) 0.14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 81 and 707067?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*s - 50 + 43 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dvv when three letters picked without replacement from vkdvavdaav?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(17) + (sqrt(1377) + 1)**2 + sqrt(1377) - (sqrt(1377) + 2)**2.\nAnswer: -8*sqrt(17) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 - 11. Let r be (-2)\/3*-21*(-21)\/294. Sort r, 4, 5, m in ascending order.\nAnswer: m, r, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 14\/4 - (-3 + 6). Let h = 8 + -5. What is the closest to l in 0.3, 0.4, h?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 4*v - 48. Let l be t(17). Suppose -5*x + 3*x + 360 = 0. Calculate the highest common divisor of l and x.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in -1\/2, -1\/9, -3, 11?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 189613 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 473099200 divided by 70.\nAnswer: 6758560","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (11\/11)\/((-30)\/36)?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 4 times 2836.99\nAnswer: 11347.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66*h = 60*h + 180. Let u = h + -41. Which is greater: u or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a**4\/4 - 69*a**3\/2 + 7*a**2\/4 + 69*a\/2 = 0. Calculate a.\nAnswer: -138\/7, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 s, and 1 x when three letters picked without replacement from sssvszxxnzszxzxvs?\nAnswer: 6\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -9289440 rounded to the nearest one hundred thousand?\nAnswer: -9300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b = -3*c + 70, -68 = 12478*c - 12480*c - 2*b for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -555, -1108, -1657, -2202, -2743?\n\"Answer: 2*m**2 - 559*m + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*h + 10*h + 5*h.\nAnswer: 29*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**3 + 8*r**2 - 11*r + 27. Let g be n(6). Let d = g + -37. What is the closest to 0.1 in 0.3, -7, d?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/1182142 and -1\/1545878?\nAnswer: 20096414","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 5040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 1 + 3 + -10 + 172 + -155 + -3?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -9, -2\/17, 5, 68, -1?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1090416?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.225449595 rounded to 4 dps?\nAnswer: 0.2254","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6735758 to the nearest integer?\nAnswer: 189","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 847452 or 847453?\nAnswer: 847453","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 1 - -1) + (72 - (-378 + 408))\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 3*j + 21. Let y(v) = -v**2. Give y(u(r)).\nAnswer: -9*r**2 - 126*r - 441","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -179254*o**3 - 62172*o wrt o?\nAnswer: -1075524*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the third derivative of h**8\/252 - 2*h**6\/45 - h**2. Determine u, given that q(u) = 0.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -67084, -134089, -201094, -268099, -335104, -402109?\nAnswer: -469114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -2*m**2 + 14*m + 14. Let t(x) = -x**2 - x - 1. Let o(s) = -q(s) + 3*t(s). Let w = 1 - 13. Calculate the remainder when o(w) is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 7*h**2 + 32426*h - 226966. Give w(7).\nAnswer: 359","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h + 3*a - 26 = -25, -2*a - 2 = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 935731678 to the nearest integer?\nAnswer: 30590","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 + -1)\/(0 - -6 - 5). Let y be 43\/43 - (1 + x)\/(-1). Solve 5*h = -27 + y for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -23839, -47777, -71715?\n\"Answer: -23938*p + 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-3)\/((-12)\/(-208)))\/(-2). Calculate the highest common factor of 182 and w.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c - 4*w - 17, 4*c + 3*w = 2*c. Suppose -f = -c*z - 30, 3*f = 2*z - 0*f + 13. Let s = 15 + z. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (-3 - (-3 - (-6 + 4)))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6, -15, -26, -39, -54, -71, -90?\nAnswer: -111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, c: 5, h: 4, l: 1}. Give prob of picking 2 c.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 670626 divided by -3387?\nAnswer: -198","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**2 - 26*v - 120. What is the least common multiple of o(32) and 30?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in d**2 + 4*d**2 + 4*d**2 - 6*d**2.\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/7 - 312\/(-14). Let x be (28\/(-8) + -2)\/((-2)\/4). Let a = n + x. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2942*q**4 - 79536*q wrt q?\nAnswer: -35304*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 5 + 11 = -5*b, 4*b - 8 = -2*s. Suppose 8*j - 4 - 12 = b. Suppose -9 = -4*a - x, 2*a + j*x = 5*x + 1. Solve 0 = 2*n + a*n - 20 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2728 is divided by 500?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 35517546 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 11*r**2. Let k(m) = -m - m + 3*m. What is y(k(q))?\nAnswer: 11*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the first derivative of 7*v**3 - 17*v**2\/2 - 37*v + 197. Let o be k(-2). Which is greater: 84 or o?\nAnswer: 84","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13592, -249, -3, -1.\nAnswer: -13592, -249, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -53814267, 1\/12, -4, -2\/17 in descending order.\nAnswer: 1\/12, -2\/17, -4, -53814267","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2 - 9*(-4)\/6. Suppose o - 95 = x*g, 2*g - 187 = -2*o + 7*g. What is the highest common factor of o and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15 - -20. Suppose -3*f - 144 = -s*f. Let g = f - 70. Solve g*a = -3*a - 10 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*t + 54 = -16*t. Solve -5*s + 8 = -4*n, -t = 4*n + 2*s + 2 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0291413 rounded to two decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 5740.9*1.137\nAnswer: 6527.4033","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:48 PM and 7:38 AM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that 2*v**5\/3 - 64*v**4\/3 + 554*v**3\/3 + 308*v**2\/3 - 16072*v\/3 + 27440\/3 = 0.\nAnswer: -5, 2, 7, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**9*p*p**(17\/6))\/(p**(-1\/3)\/((p\/p**(-13))\/p)) assuming p is positive.\nAnswer: p**(157\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -19220 divided by 5?\nAnswer: -3844","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 4*w**2 - 51*w - 14. Calculate c(13).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 8*-616.07\nAnswer: -4928.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 122223 (base 4) to base 11\nAnswer: 1312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 865 is divided by 13?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v + 0 - 8 = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 28.1 - 28. What is the closest to -0.2 in -0.4, k, 2\/9?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38271281 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7644, 30601, 68892, 122535, 191548, 275949?\nAnswer: 375756","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -66*q**4 + 59*q**2 - 372*q**4 - 33*q**2 + 4 - 10 wrt q.\nAnswer: -10512*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-46 - ((-173 - -61) + 75)) + -5 + (0 - 1).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2.99 * 0.6\nAnswer: 1.794","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -16*x**2 + 5 - 15*x**2 + 26*x**2 as y*x + i + v*x**2 and give v.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 8 = s + 4*t, -t + 7 = -2*s. Let i(r) = 13*r + 3. What is i(s)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 63\/1424 and (-3 - -2)*((-2)\/(-3) + 38120\/(-64080)).\nAnswer: 12816","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 95120413 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the second derivative of a**8\/336 + a**7\/2520 - a**5\/120 - 77*a**4\/12 - 4*a + 5. Let w(j) be the third derivative of g(j). Determine w(-1).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 3*j**3 - 1411*j**2 + 502*j - 15046. Determine k(470).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 i, 1 h, and 1 f when four letters picked without replacement from {o: 3, i: 2, h: 3, f: 4, k: 6}.\nAnswer: 4\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1427*h**3*j**3 - 4*h**3 - h*j**3 + 2*h*j + 158*j**3 wrt h.\nAnswer: 8562*h*j**3 - 24*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2, 0.1, -1\/3, 3, -1\/109, -0.3, 4445?\nAnswer: -1\/109","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -248636 + 1809376. Suppose -p + 575568 = -t. Let s = p + -617716. Round s to the nearest one hundred thousand.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -204 - -206. Solve -3*r = -a*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1800*n - 661*n + 265*n as m*n + a and give m.\nAnswer: 1404","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the first derivative of -g**6\/30 + g**5\/10 - g**3\/3 + g**2\/2 - 16*g + 1. Let j(c) be the first derivative of p(c). Factor j(r).\nAnswer: -(r - 1)**3*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**3 - 336*z**2 + 289*z + 319649. Determine x(-334).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3402733 divided by -18?\nAnswer: 3402733\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 3*q + 15. Let m = 9 + -14. Let o be r(m). Solve o = -4*t - 15 - 5 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qpu when three letters picked without replacement from daudpaaeeudqeaudd.\nAnswer: 1\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 + 1000100010010?\nAnswer: 1000100010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(19) + -1 + -1)**2 - (-1 + 0 + sqrt(304)).\nAnswer: -8*sqrt(19) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 98736160?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 t when two letters picked without replacement from {l: 3, y: 1, t: 1, o: 3, i: 5}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -160 + 800. Suppose -x - 4*q = -3*x + m, 4*x - 1298 = 2*q. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 w when two letters picked without replacement from wafwfwagwfwawtweatgf?\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*d**2\/2 + 165*d\/4 + 9\/2 = 0.\nAnswer: -2, -3\/26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 595324.7 to the nearest 100000.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + (-30)\/5 + 4\/(-10)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.0086 + 23.0686. Let g = -71 - -94. Let p = g - z. Is -1 greater than or equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 913 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 15 = -2*f. Suppose 2*i - 2*v = -f*v, 0 = -3*i + 4*v + 22. Suppose 0*t = -5*j - i*t + 53, -2*t - 46 = -4*j. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-6)\/(-4)*(0 + 590\/15)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 87 - 6. What is the greatest common factor of g and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -2*f + 8. Determine r(-9).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 65 - 65.2. Let q = f + -17.8. Let a = 11 + q. Is -4 bigger than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 51 and 2499?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) 0.3 (c) 137\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 31*r**3 + r**2 - r. Let o = 690 + -689. Calculate d(o).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1862\/5 + -3719\/10. What is the nearest to t in 0.5, 3, -0.001?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y - y**2 + 3*y)*(7*y - 2*y - 8*y) + (-y + 2*y + y)*(4 + y**2 + 0*y**2 - 5).\nAnswer: 5*y**3 - 2*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h. Let a(w) be the second derivative of -5\/24*w**4 + 0*w**3 + 5\/2*w**2 + 0 + 4*w. Let d(s) be the first derivative of a(s). Determine d(p(o)).\nAnswer: -5*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = f - 19. Let y = 59 + -105. Let a = y + f. Solve 3*u = 2*u - a for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 20501761?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 203735 is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 2110 (base 3) to base 7\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vpppppvvp. What is prob of sequence vv?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-4)\/(-16))\/((-2)\/8). Let b be (2 - -1) + (x - 3). Let i = b - -4. Solve 5*a = -i*k - 20, -k + 5*a = 3*k + 15 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61 = 5*c - 2*z - 495, 2*c - 5*z = 214. What is the highest common factor of c and 280?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 502152853 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 + (-96)\/36)*(-78)\/(-130).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 8*x + 177 = 9*x, 2*x = -6. Calculate the greatest common factor of 376 and c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 157148.\nAnswer: 5\/157148","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 11*r**2. Let f(w) be the third derivative of -w**4\/3 + 18*w**2. Determine k(f(m)).\nAnswer: 704*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 206 and 974998?\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s + 8. Let r(b) = -2*b + 17. Let z(n) = 7*p(n) - 3*r(n). Let m be z(-2). Suppose 0 = m*h + 4*h - 693. Is 38 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 3*u + 15. Let z(h) = -h**2 - 11*h - 7. Let k be z(u). Find the first derivative of -1 + 4 - 2*v**k - v**3 - 1 wrt v.\nAnswer: -9*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = 9*x - 180. Factor 13 - 57*s - 3*s**2 + 7 - x.\nAnswer: -3*s*(s + 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 2*f = -288. Calculate the common denominator of -133\/12 and (-3)\/2*21\/f.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 (base 4) in base 16?\nAnswer: e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 1 + 3)*(-3*s**3 + 4*s**3 - 3*s**3) + (-8*s**2 + 3*s**2 + 4*s**2)*(-848*s - 70767 + 70767).\nAnswer: 850*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*z**5\/4 - 81*z**4\/2 - 687*z**3\/4 - 267*z**2\/2 + 171*z + 174 = 0. What is z?\nAnswer: -2, -1, 1, 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/5*10\/(-16). Let k(o) = 2*o**2 + 30*o - 3. Let l be k(-15). Which is the closest to 1? (a) l (b) 0.1 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(90)\/sqrt(5)*-2*3)\/(-2*sqrt(384)*-5)*3.\nAnswer: -9*sqrt(3)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 16, 25, -1, -2 in ascending order.\nAnswer: -2, -1, 16, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (62\/8)\/((-3)\/(-36)). Suppose -2*j - 52 = -3*r, 3*r = -2*r - 3*j + m. Suppose 0*n + 3*n = r. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3\/154 + 83\/308. What is the nearest to 43 in -1\/2, h, 0.1, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-876)\/(-657)*-9*1\/(-14).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the first derivative of h**7\/280 - 7*h**5\/120 - h**3 + 4. Let s(p) be the third derivative of g(p). Find the second derivative of s(v) wrt v.\nAnswer: 18*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/2*((-3)\/(-216))\/((-24)\/(48 + 24)).\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6, 28, 66, 120, 190, 276, 378?\nAnswer: 496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9219877 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-150)\/(-22) + -8 + 8\/8.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.5 (b) -21 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwakabwbkwabwwkakb. Give prob of picking 1 a and 2 w.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 530*y**5 + 17*y**4 + 16*y**3 + 9*y + 227138 wrt y?\nAnswer: 10600*y**3 + 204*y**2 + 96*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 767, 6103, 20583, 48779, 95263, 164607, 261383?\nAnswer: 390163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the second derivative of -1\/6*k**4 + 0*k**3 - 6*k + 0*k**2 + 0 - 3\/10*k**5. Find the third derivative of h(g) wrt g.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 4*p = -87, 11 = 3*o - 5*p - 36. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 + 400693811020\nAnswer: 400693811019.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 338363 or 0.21?\nAnswer: 0.21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1314 + 1322. Solve -s - 4*y - n = -4*s, -5*y = 4*s + 10 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:29 PM and 3:36 AM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 28 and 32396?\nAnswer: 32396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.13 and 46254538077.\nAnswer: 46254538076.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 53, -91, -473, -1213, -2431?\nAnswer: -4247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 8\/12*15\/(-35). Sort v, 0.9, -0.5, -4 in decreasing order.\nAnswer: 0.9, v, -0.5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8066 and 1295.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11130 a multiple of 154?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -863\/12 + 72. Which is the third smallest value? (a) h (b) -4 (c) -3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3447 - -309. What is the hundreds digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 514 + -517.33. Let f = -3.2 + 3.37. Let j = k - f. What is j rounded to 0 decimal places?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 61364880.\nAnswer: 2, 3, 5, 85229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 - 25 = -5*z. Suppose 13*k - z*k = 24. Suppose -m - 2*m + 6 = 0. Calculate the remainder when k is divided by m.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.03828 - -213.06172. Round j to the nearest ten.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -17*d**2 - 89*d + 254. What is w(-8)?\nAnswer: -122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the third derivative of r**5\/20 + 63*r**2 - 2. Let b(w) = -3*w**2 - 30*w. Give d(b(y)).\nAnswer: 27*y**4 + 540*y**3 + 2700*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 51 or 1456\/29?\nAnswer: 1456\/29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (206\/(-18))\/(-1)*5850\/150. Let l = d - 447. What is the closest to l in -0.2, 0.5, -94?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifteenth of a decade in months?\nAnswer: 8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 2*s - 21561*s**2 + 21582*s**2 - s + 3. Let t be o(3). Calculate the greatest common divisor of t and 45.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 442064 is divided by 40184?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 126 and 574.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -29 + -13d?\nAnswer: -166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47729544*h + 6*h**3 - 47729544*h.\nAnswer: 6*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34257 is divided by 902?\nAnswer: 883","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4499*w**3 - 3*w**2 - 3247294 wrt w.\nAnswer: 13497*w**2 - 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -2\/5, 9, 0.3, -4, 2633.\nAnswer: -4, -0.5, -2\/5, 0.3, 9, 2633","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tbat when four letters picked without replacement from {h: 5, a: 1, b: 1, j: 1, t: 3}?\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9 by 124011900.\nAnswer: 1\/13779100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -27*t + 26 - 80 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t*t*t**2)**(-37)*((t\/t**(2\/13))\/t*t)\/t*t*t**2\/t assuming t is positive.\nAnswer: t**(-2381\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(1 + sqrt(1900) + 0) - -1*(3 + sqrt(1900) + 5))**2*5.\nAnswer: -1200*sqrt(19) + 85580","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8 - -7.9. Let f = 0.4 - 0.2. Which is the third biggest value? (a) -1 (b) f (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4.0324 + 0.0024. Let o = s + 0.03. Which is the second smallest value? (a) 2 (b) o (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 3 = 78. Let l(y) = 4*y - 28. Let b be l(k). Let m(f) = -f**3 + 6*f**2 + 7*f + 6. Let c be m(6). Calculate the greatest common divisor of b and c.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (119\/170)\/((-3)\/(-6))\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in three fifths of a millennium?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -22288 less than 358.503?\nAnswer: 22646.503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a*a**0*a)\/a)**49)**23\/((((a*a**(-2\/17))\/a)\/a)\/(a**(-2\/11)\/a))**(-5) assuming a is positive.\nAnswer: a**(421558\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -22210 + -112?\nAnswer: -100022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -111 plus -697?\nAnswer: -808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(15)\/sqrt(5) - sqrt(3)) + -1 + sqrt(75))**2.\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -157 + 169. Calculate the remainder when 90 is divided by x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1552 + -1549. Factor 0 + 0*y**2 + 2\/3*y**w - 2\/3*y.\nAnswer: 2*y*(y - 1)*(y + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 5*t + 2282 - 19492 = 0, 5*t = 4*m - 13768. What is the tens digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 495\/(-66)*8\/(-30)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and -123.\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 44*n**3 + 1544*n**2 - 3220*n + 1632.\nAnswer: 4*(n - 1)**2*(11*n + 408)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1784 is divided by 148?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**2 - 16*p - 41. Let y be q(23). Calculate the greatest common divisor of 48 and y.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 3*z + 2*t - 4, 0 = -z + 5*t - 10. Let w(x) be the third derivative of -x**4\/24 + 7*x**3\/6 - 5*x**2. What is the units digit of w(z)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s + 1. Let w be 4\/(-3)*3\/2. Suppose 3*b + b - 4 = 0. Let l(o) = 1. What is b*x(u) + w*l(u)?\nAnswer: -u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59 - 101 - 127 - 2*j**2 + 9 - 30.\nAnswer: -2*j**2 - 308","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**3 + r**2 + r + 1. Let q(y) = 7*y**3 + 3*y**2 + 4*y + 4. Calculate -4*f(v) + q(v).\nAnswer: 11*v**3 - v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.7, 80, 2\/5, -0.2, -68, -0.3?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 10 = -6*c + 11*c, -25 = 5*q. Calculate the remainder when 9 is divided by c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -50 + 0*i + 735*i**2 - 621*i**2 + 49 - i in the form d*i**2 + v*i + f and give d.\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**2 - 7*k + 8. Let u be r(7). Suppose 2*n = -0*n - u. Is n less than or equal to -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*z = -9*z - 45. Solve z = 4*s + 3*h, s + 4 - 12 = 5*h for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26932.\nAnswer: 2, 6733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(75)*1 + 2.\nAnswer: 2 + 5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000000213 rounded to seven dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + 180\/(-63) - (-4)\/((-2)\/1).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (40\/30)\/(60\/16650). Calculate the greatest common divisor of j and 320.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12799 - 12706. Solve -q = -4*v - 97 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes before 5:28 AM?\nAnswer: 6:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 53485.4ug in tonnes?\nAnswer: 0.0000000534854","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k**2\/7 - 4271304*k\/7 + 2280504732552\/7 = 0.\nAnswer: 1067826","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9711 to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(2\/5)*b\/(((b*b**(3\/5)*b)\/b)\/b)*b**(6\/5)*b**(-1) assuming b is positive.\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 22*u**2 + 15*u - 7. Let h(k) = 22*k**2 + 14*k - 7. Let r(q) = 4*h(q) - 3*j(q). Is r(3) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.02432 to two decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6678.\nAnswer: 2, 3, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**2 - 142*r - 2607. Calculate q(-18).\nAnswer: 273","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5436*y + 1712*y + 1981*y + 1726*y.\nAnswer: -17*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -2564, -2566, -2500, -2312, -1948?\n\"Answer: 9*w**3 - 20*w**2 - 5*w - 2548","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -112134 - -112134. Let m(v) = -v + 7. Let n be m(5). What is the nearest to s in n, -5, 15?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 37174 (base 9) to base 4.\nAnswer: 12011212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 44 (b) 0 (c) 3 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-9))**(13\/4)*g*g*g*g**15*g*g\/(g**14*g) assuming g is positive.\nAnswer: g**(-97\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -14*j + 40. Let v = 3 + -1. Suppose -j*a - a = 4*w - 38, -w + v*a + 3 = 0. What is the remainder when 26 is divided by w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 373 is divided by 63?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jtedv. What is prob of sequence vt?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -5*z**2 - 3*z - 2. Calculate k(-3).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 114 - 241. Let v = -107 - y. Which is bigger: v or -1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -108 - -104. Let t(o) = o + 49. What is the tens digit of t(x)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -61446*r**2 + 17532 with respect to r.\nAnswer: -122892*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b and 1 y when four letters picked without replacement from asbbbsby.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + w = -405, 17*s - 14*s = 5*w + 604. Solve -s*c + 201*c - 12 = 0 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 - n + (-57*n + 416*n + 407*n)*(-1 - 1 + 4) + (-1 + 2 - 3)*(-3 + 3 + n) - n + 0*n + 2*n.\nAnswer: 1530*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -127, -27, -2 in ascending order.\nAnswer: -127, -27, -5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -3\/7, 1223, -0.3 in decreasing order.\nAnswer: 1223, 3, -0.3, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 8 - 4 = 0. Let u = 3 + -1. Suppose -p*k - 5*b = -17, -u*b + 2 = -k + 3*b. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 3570664?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**3 + 5*m**2 + 2*m - 4. Let q be h(5). Let t be q\/(-4)*(-2)\/1. Put t, -2\/9, 2 in descending order.\nAnswer: t, 2, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -956 - -839. Let w = 117.5 + p. Let y be (6\/(-8) - 0)\/1. Which is the biggest value? (a) y (b) -1 (c) 0.4 (d) w\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*f - 609 = 9*f. Calculate the greatest common factor of f and 1022.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/7, 20, 400, 2, 5.\nAnswer: 1\/7, 2, 5, 20, 400","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i + 4*i - 2*i)*(3*i + 0 + 0)*((4 - 5 + 0)*(-3 + 5 + 1) + 0 + 10 + 2).\nAnswer: 54*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 21524408 and 281576?\nAnswer: 4616","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 0*w - 9 = -k, -2*w = 2*k - 12. Let x = k + 4. Calculate the highest common factor of x and 56.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 7, d: 6, j: 2}. Give prob of picking 3 d.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 267 = -24*n - 41 + 572 for n.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 + 28 = -4*u. Determine x so that x**2 + 10*x**2 + 16 + 0*x**2 - u*x**2 - 10*x**2 = 0.\nAnswer: -4, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -31022*m**2*z + 20*m**2 + 154*m*z - 861715*m wrt z.\nAnswer: -31022*m**2 + 154*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 - 2.9. Let u = 0 - j. Let x = 2\/7 + -1\/28. What is the third smallest value in x, u, -4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 36, 73, 108, 141, 172?\n\"Answer: -g**2 + 40*g - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -m + 37*m**2 - 60*m**2 + 39*m**2 + (-m + 2*m - 3*m)*(17*m + 0*m - 5*m + (1 + 0 + 0)*(4*m - m - m)).\nAnswer: -12*m**2 - m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.0196 or 43\/2?\nAnswer: -0.0196","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -2*j + 2, -b - 7*j + 2*j = 19. Let g(c) = c + 9. Let x be g(b). Solve 3*p + 4*s = 8*p + 37, -x*p = 4*s + 13 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:39 AM and 7:55 AM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56370732?\nAnswer: 2, 3, 11, 509, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -306499 - 0.02401.\nAnswer: -306499.02401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 32*i - 36*i + 2*n, -20 = 4*i - 4*n. Let q(j) be the third derivative of 14*j**2 + i*j + 0 - 2\/3*j**3 + 1\/24*j**4. Give q(-7).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1065829?\nAnswer: 1065829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*o - 57*o + 269415 = 0. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 2585?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes after 9:59 PM?\nAnswer: 9:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + h - 14*h**2 + 1)*(-h**2 + 4*h**2 - h**2) - h**3 + 2*h**4 + h**3.\nAnswer: -26*h**4 + 2*h**3 - 4*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3860289*r + 8390903.\nAnswer: -3860289","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1918, 1916, 1914, 1912, 1910, 1908?\n\"Answer: -2*b + 1920","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + u**3 + 6*u**4 - 3*u**3 + u**2 + 3*u**3 - 2*u as p*u**4 + j*u**2 + k + f*u**3 + q*u and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 161933814 a multiple of 126?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.05, 112, 0.1 in descending order.\nAnswer: 112, 0.1, 0.05","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 407679126 is divided by 8613.\nAnswer: 8610","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iiir when four letters picked without replacement from ririirirririrrriiiri.\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72*n - 14*n - 585480 = 223852. Is 170 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -45 (base 13) to base 7\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 + 4. Suppose -c*f = 7 - 19. Suppose 0 = -f*p + 106 + 30. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 10 = 0, v + 10 = 2*k + 1. Let x(j) = j**2 + 4*j - 2. Let l be x(v). Suppose l*g = 3*r - 2*g - 31, 0 = 2*g - 2. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -2950, -2930, -2910, -2890, -2870?\n\"Answer: 20*k - 2970","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-12\/7)*d*(d*(d**(-2\/15)*d)\/d)\/d*d*d assuming d is positive.\nAnswer: d**(121\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -292.4 rounded to the nearest ten?\nAnswer: -290","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*f**2*o*w - 5*f**2*o - f*o*w + 2*f*w**2 - 376*o + 148*w**2 with respect to w.\nAnswer: 4*f**2*o - f*o + 4*f*w + 296*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1440, 2195, 3026, 3927, 4892, 5915?\n\"Answer: -y**3 + 44*y**2 + 630*y + 767","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**2 - 7*x + 7. Let v be u(6). Suppose 0 = z - 3 - v. Suppose z*j - 12 = 2*j. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1911)\/364)\/((-54)\/144)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b + b - 2*b)*(6 - 1 - 1).\nAnswer: 4*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 1 - 3)*(2 - 2 + 4*z) - z - 5*z + 3*z + (-6 + 3 + 4)*(-4*z + z + z) - z + z - z.\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -332*s**3 + 3 + 335*s**3 + 9 - s**3 - s + s + (0*s + 4*s - 6*s)*(-6*s**2 + 2*s**2 + 3*s**2) - 3*s**3 + 7*s**3 - 3*s**3 + 2*s**3 + s**3 - s**3.\nAnswer: 7*s**3 + 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15786, 126230, 426008, 1009788, 1972238?\nAnswer: 3408026","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1636 = -3*h + 4*h - 2*n, 0 = 4*n + 20. Does 4 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -14? (a) 2\/15 (b) -57 (c) -0.1 (d) 0.5 (e) 0.077\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*l**4 + l**4 - 2*l**4 + (-2*l - l + l)*(-3*l**3 + 2*l**3 + 0*l**3).\nAnswer: -2*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**6 + 5*r**4 + 48*r**2. Let q(c) = 2*c**6 - 4*c**4 - 48*c**2. Let l(n) = 4*p(n) + 5*q(n). Find the third derivative of l(y) wrt y.\nAnswer: 720*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w = -6*w + 42*w - 320 for w.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*u + 34*u + u)*(-5*u**2 - 5*u**2 + 2*u**2)*(-2*u**2 - 3*u**2 + 3*u**2) + (u**4 - u**4 - u**4)*(-2*u - u + 0*u).\nAnswer: 739*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 3, d: 3, j: 2, m: 5}. Give prob of picking 1 d, 1 w, and 2 j.\nAnswer: 9\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*r = 137 - 38. Is 19 a factor of (r\/(-6))\/(-4 - (-11838)\/2964)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 60.60476 years to centuries.\nAnswer: 0.6060476","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**3 + 33*m**2 + m - 22. Give h(33).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**3 + r**2. Let p(k) = -7*k**3 - 2*k**2 + k - 2. Let s(x) = 6*b(x) + p(x). Suppose 12*n = 15*n + 3*w - 15, -3*n - 4*w + 16 = 0. Determine s(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 0 + 132*k + 4*k**2 - 124*k + 0 = 0?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -2*u - 2. Let h be p(-1). Suppose h = 7*o - 3*o - 3*l - 20, 5*o + 5*l = -10. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 500943987?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + (10 - 22) - 16?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -14*t + 5. Let k be i(-5). Let z = -53 + k. List the prime factors of z.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-7)*(31 + -17).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00004104179606 rounded to six decimal places?\nAnswer: -0.000041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -5*u. Let o(f) be the first derivative of -f**5\/120 - 5*f**3\/3 + 1. Let g(n) be the third derivative of o(n). Calculate g(w(a)).\nAnswer: 5*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 5.821222kg?\nAnswer: 5821222","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*u - 38142 = -38077. Which is the smallest value? (a) -1\/11 (b) u (c) 22 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*f + 270 = 242 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 278706 = 34*m + 277822 for m.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 46724 by -19.\nAnswer: -46724\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 4 = -a, 4*d - d = a. Let f be 0*3\/(-24) - a. Solve 2*t - f*n = -n, -3*t - 4*n - 7 = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 7*g - 10. Let w = 10111 + -80987\/8. What is the common denominator of w and 4 + -8 - g\/(-5)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10214221?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**3 + 5*z**2 - 3 - 13*z + 15*z + 0. Let g be t(-4). Let f be 2\/6 - 17\/(-3). Which is bigger: f or g?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2035892, 4071802, 6107730, 8143676?\nAnswer: 10179640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 20*m - 196 - 165 + 11 - 12. Is 6 a factor of j(25)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -183, 197, 577, 957, 1337?\n\"Answer: 380*v - 563","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -1 + 2*r**2 - 137*r + 137*r. Let v be o(-1). Suppose l = v + 1. Solve l*n + 12 = -n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.23 times 252.2?\nAnswer: -58.006","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dfvddgdllvlllldlll. Give prob of picking 1 d, 2 l, and 1 f.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 69\/10 and 2469\/156 - (18 - (-3262)\/(-182)).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1211020321 (base 5) in base 3?\nAnswer: 12022202021212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2 - ((0 - (-8 - -2)) + -15 + 1)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*j = 6 - 174 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 17*h = 12*h + 17, 5*j = h + 11. Put 0, j, -4 in ascending order.\nAnswer: -4, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -117440 divided by -2936.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 38813226 and 314?\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3946 divided by -1800?\nAnswer: -1973\/900","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 9) to base 8.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 163 a factor of 3915237?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 178759*o**3 - o**2 + 3*o**4 + 5*o**2 - 178791*o**3 + (o + o + 0*o)*(-o**3 + 3 - 3) + 2 + o**4 - 2.\nAnswer: 2*o**4 - 32*o**3 + 4*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a**(6\/5))\/a*a)\/a**(-2\/3))**(-10) assuming a is positive.\nAnswer: a**(-86\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 419741381 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19\/30 + 57\/(-114) + 9776\/(-195)?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 12161064 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 108064, 432289, 972674, 1729213, 2701900, 3890729, 5295694, 6916789?\n\"Answer: -n**3 + 108086*n**2 - 26*n + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 2*r - 4. Let v be k(3). Determine j so that -j**v + 8*j - 2 + 2*j**2 + 10 + j**2 = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 + 2 - 1218*i**3 - 15 + 8 + 971*i**3.\nAnswer: -247*i**3 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63*r**3 + 38 - 14*r**3 + 86*r**3 - 7*r**3.\nAnswer: 2*r**3 + 38","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -2*b**3 - b - 170. Calculate o(0).\nAnswer: -170","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 3*c = 21, f + 4*c - 8 = 5*f. Suppose -f*m + 6 = -2*m. Let k(g) = -g**2 + 8*g + 9. Let v be k(8). Solve 2*s - v = -3*x + 5*s, 4*x = 2*s + m for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pby when three letters picked without replacement from ddfbfdpdbydyydfdf.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 3452*l**3 + 2*l**2 - 6*l + 5. Is q(1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 6*w**2 - w. Let q be (-4)\/6 + (-1)\/3. What is the remainder when 19 is divided by s(q)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 53*m + 566. Let l(b) = 514*b. Calculate p(l(u)).\nAnswer: 27242*u + 566","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2132.7 and -4?\nAnswer: 8530.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the third derivative of a**5\/60 + a**4\/8 - 4*a**3\/3 - a**2 - 5*a. Suppose r = 2*w + 13, 4*r - 28 = 3*w + w. Is m(w) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5033 and 91?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the second derivative of 34 - 1\/2*y**3 - 2*y + 0*y**2. Let w(g) = 42*g. Calculate w(t(a)).\nAnswer: -126*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 + f + (2 - 7 + 0)*(-5*f + 5*f - f).\nAnswer: 6*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -4, 4, 3234 in descending order.\nAnswer: 3234, 8, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*l - 3*l + l)*(21*l - 4426*l**2 + 4427*l**2 - 715*l) in the form a*l + t*l**2 + p + y*l**3 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 449.\nAnswer: 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 178*a**2*u**3 - 2*a**2*u + 277*a*u + u**3 wrt u?\nAnswer: 1068*a**2*u + 6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -111278 * 0.08\nAnswer: -8902.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r\/(r*r*(r\/(r**16\/r*r)*r)\/r*r)*r**(-16)*r**(2\/3)*r*r**(-11)\/r*r*r assuming r is positive.\nAnswer: r**(-34\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/((m*m\/(m\/m**(-35)))\/m*m))\/m)\/(m*m**(1\/5)) assuming m is positive.\nAnswer: m**(164\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -35 + -18. Let q = 105 + s. Let p = -30 + q. Does 11 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11423 (base 7) to base 9\nAnswer: 4045","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - -6*(-903)\/(-1890).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 2.088273 kilometers?\nAnswer: 208827.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**(-8\/3))\/z*(z**(-2\/35)*z)\/z assuming z is positive.\nAnswer: z**(274\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 - 1)\/(16 + -15). Let a(r) = 8 - 14*r + 37*r - 16*r. Let n be a(-2). Sort 4, n, s in decreasing order.\nAnswer: 4, s, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3386240 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h - 4*h + 10, -2*h = 3*u - 2983. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*l + 145*l - 148*l.\nAnswer: 29*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 5, -0.4, -2\/29, 1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27271744 is divided by 1090?\nAnswer: 1034","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 1 = w, -2*w - 8*g - 2 = -3*g. Let p be 16\/80 + w\/5. Suppose 5*d - i - 327 = p, 0 = -2*d - 3*i + 7*i + 138. List the prime factors of d.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the first derivative of 3*u**4\/4 - u**3\/3 - 3. Let i be b(1). Suppose 0 = -5*d + 3*n + 18, n = -3*d - 6 + 14. Solve 5 - d = i*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kaaagwwawigwwkakwwa. Give prob of sequence ag.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -983, -2380, -3729, -5006, -6187, -7248, -8165?\n\"Answer: 4*t**3 - 1425*t + 438","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -4 (b) 0.4 (c) 1 (d) 93.2 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -16 - -24. Suppose 4*m - i = 24. Suppose -1 = p - 2*a, -4*p + 0 = -4*a - 12. Calculate the smallest common multiple of m and p.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 13*j**2 + 2*j + 1. Let f be n(-1). Suppose 0 = -g - g + f. Suppose b = z, -g + 0 = -5*z + 3*b. Solve 2*w = -3*i + 2, 0 = 4*w - z*w - 5*i - 1 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 2, -0.2, -6, -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1005601, 2011085, 3016569, 4022053, 5027537?\n\"Answer: 1005484*w + 117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 22 + -19. What is the third biggest value in -3, o, 6?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 222\/74 - (10 - 0)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-2\/7)*b)**(1\/17)*((b\/b**2)\/b)\/b**4*(b\/(b*b*b\/(b*(b\/(b*b**(-3)))\/b)))\/(b**(-7)*b)*b**3*b**(-2\/11) assuming b is positive.\nAnswer: b**(5053\/1309)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 4, 29, 86, 187, 344, 569, 874?\n\"Answer: 2*w**3 + 4*w**2 - w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1661498 decades in years?\nAnswer: 1.661498","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -136056*a + 136063*a + 8 - 2 to y*a + m and give y.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*j**2 + j**2 + 3*j**2)*(-1 + 1 + 2*j)*(78 + 43 - 39) - 2*j**3 - 2*j**3 + j**3.\nAnswer: -331*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a = -6*c + 5*c - 10, 0 = -2*c + a + 15 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*n - 47355 = -15177. List the prime factors of n.\nAnswer: 2, 3, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 73 = 4*k, 0*a - 2*a + 2*k - 30 = 0. Let m = -8 - a. Suppose 1 = 4*i - m. Solve i = -4*h - 5 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**3 - 2*f**2 - f + 4. Let o be x(4). Suppose 2*p + 0*p = o. Is 12 a factor of p\/6*27\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 14*m + 3984*m**3 - 110*m - 4092*m**3 wrt m.\nAnswer: -648*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -j - 7, 16 = -2*j + 5*p + 2. Let m(a) = -a**2 - 9*a + 11. What is the tens digit of m(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -u**3\/3 + 1060*u**2\/3 + 3187*u\/3 + 2126\/3 = 0. What is u?\nAnswer: -2, -1, 1063","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 40512*g**3*i - g**3 - 15*g**2*i + 6*g*i - 66*i wrt g?\nAnswer: 243072*i - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10*c**2*q**3*z - 51*c**2*q*z**2 + c**2*q + 150*c*q**3*z**2 - 2*c*z**2 + 16*c*z wrt q.\nAnswer: 60*c**2*q*z + 900*c*q*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -5, -5, 7, 37, 91?\n\"Answer: h**3 - 7*h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes before 11:04 PM?\nAnswer: 12:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 30843491 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Solve -230*k + 38 = -231*k + 5*w, 0 = 4*k + 7*w + 71 for k.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**2 - 5*w + 20. Let z be l(3). Put -20, -2, z, 0.4 in ascending order.\nAnswer: -20, z, -2, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 101021 - 11?\nAnswer: 101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -78 + 6?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 394793089 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2354 and 0.04.\nAnswer: 94.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-1683)\/11)\/9)\/(12\/12)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 62, 155, 332, 593, 938, 1367?\n\"Answer: 42*a**2 - 33*a + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes after 8:07 AM?\nAnswer: 12:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -4*j + 217*o - 216*o, 0 = -2*j - o for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 6, 2*z - 22 = -4*g - 3*z. Solve 2*r + g*r - 20 = -w, -r - w = -8 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 225*u = 233*u - 368. Suppose -8*w + u = 4*p - 13*w, 3*p + w - 44 = 0. List the prime factors of p.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 215352 is divided by 105?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 59962 = -5*k, -268295 = -5*r - 2*k + 31630. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.26 + 13.26. Let p = 14 - u. Let s = 0.08 - 0.38. Which is the second biggest value? (a) p (b) 0 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4944*x**3 - 1959?\nAnswer: 14832*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -796*m**5 - 2*m**3 - 10*m**2 - m - 125?\nAnswer: -47760*m**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xjx when three letters picked without replacement from jxjxxxx?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 5, v: 7, m: 5, a: 1, w: 1, t: 1}. Give prob of sequence aw.\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1635794 or 9\/50?\nAnswer: -1635794","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-2))\/((((-2754)\/(-144))\/51)\/(45\/(-4))).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -171 + 27 = -12*b. Suppose -6*t = 18 + b. Let m(n) = -5*n - 5. Let g(o) = -6*o - 6. Determine t*m(q) + 4*g(q).\nAnswer: q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -132 < -132?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the third derivative of -t**5\/60 - t**4\/6 + 2*t**3 - 9*t**2. Let p be h(-5). Let u(m) = 27*m - 22. Is u(p) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 m when two letters picked without replacement from {m: 3, e: 4, q: 6}.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pff when three letters picked without replacement from ffppffppppppppppfp.\nAnswer: 65\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 26712, 26714, 26716?\nAnswer: 26718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 634 + -32?\nAnswer: 602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-273 + 78 - 6641*s**2 + 74 + 121)*(-4 + 0 + 3).\nAnswer: 6641*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 + 56\/(-6))*9 - 3?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -246, -988, -2238, -4002, -6286, -9096, -12438?\n\"Answer: -d**3 - 248*d**2 + 9*d - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 - -3763?\nAnswer: 3767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (30 - 0) + 4083 + -4107.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -22 + 85\/4. Let j = -0.33 + -0.37. Sort j, t, 3.\nAnswer: t, j, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the third derivative of h**6\/120 + h**5\/10 - h**4\/3 + 2*h**3\/3 - 9*h**2. Is x(-7) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(10)*1)\/sqrt(5) - -5*(sqrt(56)\/sqrt(7))**2.\nAnswer: -sqrt(2) + 40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that 135*m**5\/4 - 59*m**4\/2 - 77*m**3\/2 + 30*m**2 + 19*m\/4 - 1\/2 = 0.\nAnswer: -1, -1\/5, 2\/27, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2*y)*(4*y - 3*y + 0*y) - 3*y**2 + 4*y**2 + 3*y**2 + 0 + 0 - 3*y**2 + (5 + 0 - 3)*(-y**2 + 6*y**2 + 0*y**2).\nAnswer: 9*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z*z*z**25*z))**(-23) assuming z is positive.\nAnswer: z**621","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6 and 6382?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 100*f - 3718. What is l(37)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 47.76 - -0.24. Let a = v - 49. Which is greater: 0.05 or a?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23\/(1518\/120) - (-1 + 5)\nAnswer: -24\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the third derivative of 19*m**6\/120 - 17*m**4\/24 - 7*m**2. Find the second derivative of q(t) wrt t.\nAnswer: 114*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 117509*q + 3995319. Calculate s(-34).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4715?\nAnswer: 5, 23, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/27 and -59\/450232.\nAnswer: 12156264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 40778340?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 538, 5, 4, -2 in increasing order.\nAnswer: -2, 4, 5, 538","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 39\/(-40) + (-14)\/10 + 2\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2, -4361, 0 in descending order.\nAnswer: 5, 2, 0, -4361","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (64*a - 3*a + 2 + 54*a)*(5*a**3 + 5*a**3 - 3*a**3 + (2*a**3 - 2*a**3 - 2*a**3)*(4 - 3 + 1)).\nAnswer: 345*a**4 + 6*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 175397198 to the nearest integer?\nAnswer: 13244","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -76357 by -4.\nAnswer: 76357\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.3 (b) -0.1 (c) -4\/3 (d) -1 (e) 3\/272\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -e659 (base 16) to base 9\nAnswer: -88801","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-34)\/(145\/((-972225)\/1530))?\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the first derivative of -y**6\/60 - y**5\/60 + y**3\/6 + 11*y**2 - 24. Let v(r) be the second derivative of i(r). Calculate v(-2).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -3*l - 29. What are the prime factors of ((-6)\/l)\/(((-28)\/848)\/(-7))?\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46939207 less than 46939207?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17320?\nAnswer: 2, 5, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 12 - (-7 + 13) - (-1 + 1)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes before 9:51 PM?\nAnswer: 11:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*c - 3 + 3*c - 6*c + (-184*c + 41*c - 36*c)*(-2 + 0 + 0) to l + q*c and give q.\nAnswer: 357","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 718 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 12\/15 + 8\/(-60). Which is the smallest value? (a) 0.7 (b) 5 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15199 + 37*d + 15199 + 15192 - 60781 + 15193 - 5*d.\nAnswer: 32*d + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1629, 1721, 1813?\nAnswer: 1905","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2161 and 59221.\nAnswer: 57060","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*c - 64 = 3*o - 3*o, -209*o + 210*o = -2*c for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -44*i**4 - 4*i**3 - 18374*i**2 - 279681041*i wrt i?\nAnswer: -528*i**2 - 24*i - 36748","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/84 and -95\/132?\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.2 (b) 0 (c) -21\/2 (d) 376 (e) -0.21 (f) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 687.5 rounded to the nearest one hundred?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixth of a decade in months?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 125211762 a multiple of 434?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(13) + -1 + -2 + sqrt(13) - sqrt(91)\/(sqrt(7)*-1)) + -4)**2.\nAnswer: -42*sqrt(13) + 166","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:41 AM and 1:44 PM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 302*y + 215*y = 93*y - 7632 for y.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -74*y + 4 + 42*y - 24*y - 36*y in the form s + p*y and give p.\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4c61 - -1?\nAnswer: 4c62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12072624 + 5*c**3 + 12073178 - 3*c**3.\nAnswer: 2*c**3 + 554","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vfabfvsvsvfvvaalal. Give prob of picking 1 f and 1 s.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -11.5 and 0.3.\nAnswer: -3.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 at most as big as -14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 40424405869 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-450)*5)\/((-12)\/(-14)*117\/(-1053)).\nAnswer: -7\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5\/7? (a) -1\/3 (b) 0.1 (c) -0.2 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - ((5 - 10) + -2)) + 5.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2 - 0.40753171069.\nAnswer: -0.20753171069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let j = -59384.0077579 - -59384. Round j to 5 decimal places.\nAnswer: -0.00776","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/10 of a millimeter?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyhydhyhy. What is prob of sequence dy?\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 143796686 and 157.16?\nAnswer: 143796528.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add together -3 and 13641.3998991.\nAnswer: 13638.3998991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -77 (base 14) to base 4.\nAnswer: -1221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 397.555 - 397. Let p = a + 2.445. Sort p, -0.4, -2\/29, -3 in decreasing order.\nAnswer: p, -2\/29, -0.4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 289, 278, 257, 220, 161, 74, -47?\nAnswer: -208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (-2 - 7)*18\/108 + 115\/10 and 21002.\nAnswer: 105010","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8252419 to the nearest integer?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-5)\/((-1)\/4 + 0). Suppose p + f = -3*p. Let z = -5 - p. Solve z = w - 1 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5.53 + -5.3863. Let f = z + -0.06. What is f rounded to 2 dps?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 31 - 28. Suppose -q*a + 214 = 205. Let l = 3 - 1. Calculate the smallest common multiple of a and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 115 and 769?\nAnswer: 88435","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*((sqrt(891) + -3 + 2)*5 + 4*(sqrt(891) + (sqrt(891) - 2*(sqrt(891) + sqrt(891) + -3 + sqrt(891))))))**2.\nAnswer: -15048*sqrt(11) + 432688","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 155.6397701 to 1 decimal place.\nAnswer: 155.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 45967785427 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 65 - 45. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6.3 - 6.4. What is the third smallest value in f, 0.9, -4?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 48 (b) -11 (c) -3 (d) 235 (e) -4 (f) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 55*t**3 - 22*t + 184. Is r(11) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (6 + 1)*(0 - (-3 + 2)). What is the hundreds digit of 1760\/k - (-9)\/(-21)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -2*m - 20, -2*t - 9 - 5 = 3*m. Let f be (-69)\/42 - 2\/t. Let u = 46.438 + -46.638. Is u bigger than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 - 2) + (-12)\/((-8)\/2). Let s be (q + 1)*0*(-20 - -21). Which is smaller: -2\/225 or s?\nAnswer: -2\/225","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (6\/5)\/((-13)\/(-1300)). Let i be p\/(-6)*(0\/1 - 1). Find the common denominator of -1\/36 and (1\/(-30))\/((-24)\/i).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -732677*b - 191916031 - 1077816*b - 5*b**3 + 1027872*b - 7260*b**2 - 2731219*b - 374983489.\nAnswer: -5*(b + 484)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 1122 = s + m, 4*s = -m + 1496. Let l(v) = 83*v + 2. Let c be l(-3). Let r = c + s. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(204) + 3*(sqrt(204)*-1 + sqrt(204)) + sqrt(204) - -6*(sqrt(204)*-1 + sqrt(204)))\/(-2*sqrt(72)\/(sqrt(6)*1)).\nAnswer: -sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + m = -61, 0*m = 4*b - 4*m - 36. Suppose -h = -9 + b. What is the smallest value in 2\/3, -3, h, 14?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 9 (b) -0.1 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**2 + 6*m - 17. What is f(0)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -88 + 87.8. Let a = 3.1 + 0.9. Let z = a - -1. What is the second biggest value in -3, t, z?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 4*u + 448 = n, 0 = -4*u + 4*n + 1800. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**2\/8 + 177*u\/2 + 351\/2.\nAnswer: 3*(u + 2)*(u + 234)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9212131*c**3*q**3 + 11*c**3*q + 11877*c**3 - 2*q**3 + 3*q wrt q?\nAnswer: -55272786*c**3*q - 12*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 3 + 3 = 0. Let r(q) = -2*q - 16. Let t be r(-10). Sort -0.04, i, t, 1.\nAnswer: i, -0.04, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the second derivative of g**4\/12 - 2*g. Let t(n) = -n. Let d(y) = -y. Let o(q) = 5*d(q) - 4*t(q). Calculate w(o(r)).\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 97168?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1386, 1385, 1384, 1383, 1382, 1381?\n\"Answer: -g + 1387","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, 1, -4.161, 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, o: 3, j: 6, a: 5, n: 2}. Give prob of sequence nonj.\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(192) - (-4*sqrt(192) + -4) - sqrt(192)) + (2 + 5*sqrt(192) - sqrt(192)) + sqrt(192) + sqrt(192) + sqrt(192) + sqrt(192) + 2)**2.\nAnswer: 1536*sqrt(3) + 27710","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 247 divided by 2364\nAnswer: 247\/2364","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 820013 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the third derivative of 27 + q**2 - 1\/135*q**6 + 0*q**3 + 0*q + 0*q**4 + 4\/945*q**7 + 1\/270*q**5. Find a such that r(a) = 0.\nAnswer: 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -47*h**3 - 1694\/3*h**2 - 1700*h - 24.\nAnswer: -(h + 6)**2*(141*h + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*p - 17*p = 12480. Let y = -401 - p. Solve 5*h = 5 + y for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 3321, 16158, 37557, 67518, 106041, 153126, 208773?\n\"Answer: 4281*j**2 - 6*j - 954","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -7*x**3 - 65*x**2 + 619*x - 1587. Let l(c) = 2*c**3 + 22*c**2 - 206*c + 530. Let z(n) = 3*i(n) + 10*l(n). Determine k, given that z(k) = 0.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:14 PM and 2:39 AM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-5 + sqrt(5)*-1*-2))**2.\nAnswer: -20*sqrt(5) + 45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -232*w + 2818*w + 2280*w in the form i*w + f and give i.\nAnswer: 4866","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*l + 9*l - 14*l + 18810*l**2 - 11*l.\nAnswer: 18810*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 + 13. Suppose -2*y + 4*o = 12, 265*o = 3*y + 270*o - 26. Calculate the remainder when k is divided by y.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -7*y**3\/2 + 12675*y**2\/2 - 54952*y - 16218 = 0. Calculate y.\nAnswer: -2\/7, 9, 1802","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*k - 119653034 + 119653034 - 4*k.\nAnswer: -25*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-1 + (-3*sqrt(704) + sqrt(440)\/sqrt(250))\/(sqrt(16)\/(sqrt(12)\/sqrt(12)))).\nAnswer: -59*sqrt(11)\/10 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add -384849 and -24721151.\nAnswer: -25106000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*s**2 - 431214*s - 15495459483 = 0. Calculate s.\nAnswer: -71869","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, v: 2}. What is prob of picking 1 t and 2 v?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -8*f - 36. Let p be z(-4). Let t be (-10)\/p + (-15)\/10. Solve -t = -5*r - 3*h, 0 = -r + 2*h + 2*h - 9 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1072\/64 + (200\/16 - 12). Factor 0 - z*q + 3\/4*q**2.\nAnswer: 3*q*(q - 23)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14769451 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: Suppose 60*x + 9 = 57*x. What is the closest to x in 2\/13, 4, 0.4?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 0.038, -3\/4 in decreasing order.\nAnswer: 0.5, 0.038, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2906 is divided by 153?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -314 bigger than 6707?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.5 and -8085849125308.\nAnswer: -8085849125308.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (146 - 8)*(-496)\/(-24). Suppose 0 = -13*r + q + 9732. What is the hundreds digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**2 - 10*j - 71. Let z be t(15). Which is the nearest to 35? (a) z (b) 1 (c) -2\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -38 + e?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 3)*(6\/4)\/3\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**3 + 13*l**2 + 21*l - 10. Determine b(14).\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 127553338.\nAnswer: 2, 11, 73, 79423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 29602 + -29602.89. Which is the closest to 0.3? (a) -4 (b) 0.5 (c) 5 (d) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7932 and 1464?\nAnswer: 967704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -611 + 909. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 47635782 divided by 591.\nAnswer: 80602","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 111379 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q + 14. Let u be h(12). Calculate the common denominator of -55\/14 and (-2)\/(-80)*5\/u.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1762582 and 138.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(144) + 1*sqrt(144)*-6))\/(sqrt(192) + sqrt(192)*-1 + sqrt(3)*2*5)*-1.\nAnswer: -4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 216 + -216.000248. What is c rounded to 5 dps?\nAnswer: -0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - r + 4 = 0, 0*r = -r + 1. Sort -1, w, 2 in ascending order.\nAnswer: w, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 3*y + 2*y + 5*s, 30 = 5*y - 5*s. Let j(i) = 2*i + 4*i**2 - 3*i - 2 + 2*i + y*i**3. Let q be j(-2). Which is bigger: q or -5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:39 PM and 3:08 AM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14594, -14024, -13102, -11822, -10178?\nAnswer: -8164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 7*q - 15, 0 = -3*b - 2*q + 51. Let o(h) = 10*h + 58. What is the hundreds digit of o(b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h. Let v be g(-4). Let f(m) = m**2 + 4*m + 5. Let l be f(v). Suppose -4*z - 4*q + 148 = -528, -l*q - 324 = -2*z. Is z a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 153662*v**3 + 141901 wrt v?\nAnswer: 460986*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -15*b - 7683 + 7848 for b.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 21841 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4920224 is divided by 289?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 3*m**2 + 1. Let w be j(1). Suppose 5*p - 5*i - 1 = -6, 36 = w*p + 4*i. Sort 0, 5, p, -3 in descending order.\nAnswer: 5, p, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -239.94095 + 0.28095. Let h = f - -235. Round h to zero dps.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49 = -3*t - 0*f - f, -f = -1. Let z = 141 + -80. What is the remainder when z is divided by t?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**3 + 15*q**2 - 6. Calculate t(15).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 742722?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 6*d + 14. Let h = 6 + 6. What is the tens digit of n(h)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -629837340 by -443860.\nAnswer: 1419","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*c**2 + 32*c**2 - 85*c**2.\nAnswer: -88*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*2*(101598\/(-205))\/118.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**3 + 50*i**2 + 27*i - 290. Is s(-29) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in seven quarters of a week?\nAnswer: 17640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**2 - q. Let p(u) be the third derivative of 0*u**3 + 0*u**4 + 21*u**2 + 0 + 0*u - 1\/30*u**5. What is -3*a(s) - 2*p(s)?\nAnswer: s**2 + 3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 - -9. Is 30 a factor of o + -2 + (-180)\/(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -16102*r**5 - 2*r + 134 wrt r?\nAnswer: -322040*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(0 + sqrt(700)) + 5)**2 - ((sqrt(84) + -2*sqrt(84))*-3)\/(sqrt(9)\/sqrt(27)).\nAnswer: 582*sqrt(7) + 25225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 divided by 266?\nAnswer: -31\/266","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*j - 48*j - 174 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**3 + 2*n**2 - 1. Let w be (-2)\/(-2 + 0) - 2. Let f be s(w). What is the derivative of -4*b**4 + f*b**2 - 4 + 5*b**4 + 0*b**2 wrt b?\nAnswer: 4*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11027466 and 11?\nAnswer: 121302126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -23*s + 3*z + 48, z - 11 = -3*s + 5 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 20544650.200521 - 20544720. Let z = 69.8 + j. Round z to four decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.8? (a) 0.2 (b) 3 (c) -0.1 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-20)\/48)\/(4095\/21294)\nAnswer: -13\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-15))\/(54\/81)*2\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sz when two letters picked without replacement from {s: 3, z: 4}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -3*u**3 - u**2 + 2*u - 1. Let c(f) = 6*f**3 + f**2 - 5*f + 3. Let n = -2375 - -2380. What is n*l(i) + 2*c(i)?\nAnswer: -3*i**3 - 3*i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2 - (5 + -2))\/((-1)\/16). Suppose -20*q = -18*q - p. Calculate the least common multiple of 12 and (-142)\/(-4) + 20\/q + -2.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-107*o**2 + 41*o + 59*o + 105*o**2)*(3*o - 1 + 0 - o)*(-3*o + 0*o + 2*o).\nAnswer: 4*o**4 - 202*o**3 + 100*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43 - 5*n**3 - 4 + 5*n**3 + 6*n**3.\nAnswer: 6*n**3 + 39","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -9*42\/(-45) + 18\/30. Suppose -28 = -d*g + 5*g. Let x(i) = i**3 - 6*i**2 + 10*i - 3. List the prime factors of x(g).\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 184 - 115. Suppose 5*p - j + 2*j - x = 0, -7 = p - 5*j. Calculate the remainder when p is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (133*g - 55*g - 51*g)*(g**2 + 3*g**2 - 2*g**2)*(-7*g - 5*g + 3*g).\nAnswer: -486*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from {f: 4, s: 2}.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 20316*-1\nAnswer: -20316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1783686 is divided by 5471.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-134 + 134 + 572*c)*(c - 3*c + c).\nAnswer: -572*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1439 is divided by 68.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.2 (b) 1.1 (c) -1 (d) -2\/11 (e) -23 (f) -2 (g) 15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3 - -1)*46\/92. Suppose 5 = -5*r + 5*d, -58 = -5*r - 4*d - 18. Solve r = -4*s + 5*b - q, -4*b + 6 = -2*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 115 a factor of 327653?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.50517 * -0.2.\nAnswer: -0.101034","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n - 25 = -s - 21, 4*s + 18 = n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:26 AM and 6:18 AM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 12*o - 23. Is m(11) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 31*r**2 - 4*r. Let u(o) = 6119*o. Calculate u(k(n)).\nAnswer: 189689*n**2 - 24476*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 172?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 65537443.\nAnswer: 4549, 14407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -37 + 60. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82838.19ml in litres?\nAnswer: 82.83819","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -69 (base 11) in base 13?\nAnswer: -5a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -139 - -32 - -43 - -3?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -4*u - 1. Let d(a) = -a + 4. Let v(y) = y - 2. Let q(o) = d(o) + 2*v(o). Let h be q(5). What is j(h)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 + 23 + 17 = -4*s for s.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 596 is divided by 60?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/27 + 48\/27. What is the units digit of -1*o\/2*-12?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-5) + 69\/(-15). Put -1, 0, m in descending order.\nAnswer: 0, -1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6283 - 4036. Does 107 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-3))\/(121\/(-33)).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3554 + 3556. Solve 57 - 59 = i*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-5)\/(-5) + 3 + -2. Suppose 2*w - o - 36 = 0. Is 6 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34186*j - 34152*j + 1054 = 0 for j.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 34785155, 69570312, 104355467, 139140620?\nAnswer: 173925771","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 6 + (6 - 1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 14*x**3 - 6*x**2 - 5*x. Let d(k) = -5*k**3 + 2*k**2 + 2*k. Let b(t) = 8*d(t) + 3*m(t). Let s be b(1). Is s greater than 9\/61?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12 - 59\/5. Let k(d) be the first derivative of -8 - 1\/30*d**6 + h*d**3 - 1\/20*d**4 - 3\/25*d**5 + 1\/5*d**2 + 0*d. Solve k(c) = 0 for c.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + c = 2*a + 13, -4*a - 2*c = 4. Let q be 16*-277*((-225)\/(-4))\/a. What is q rounded to the nearest ten thousand?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t = 4*t + 414. Suppose 0 = -4*q + 7*q - t. Does 14 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 3*i. Let r(g) = -24063281*g**2. Give r(z(u)).\nAnswer: -216569529*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-108)\/((-252)\/14))\/((-18)\/(-3)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1844.49 - 0.03?\nAnswer: -1844.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -983 + 2083. Suppose -f - c = 4*f. Let n = f - -420. What is n rounded to the nearest 100?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7 - 28203807.1.\nAnswer: -28203800.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/10)\/((-1426)\/(-230)).\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2815623 + 515623. What is a rounded to the nearest 1000000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10 by -750.\nAnswer: 1\/75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 82?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most as big as -56607367?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 21*v**2 - 22*v + 11. Let a(i) = 2*i**2 - 2*i + 1. Let p(y) = -22*a(y) + 2*z(y). Let n(g) = -3 + 7 - 4 + 4*g. What is p(n(q))?\nAnswer: -32*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g - 2*g - 3*g)*(10*g**3 + 6*g**3 - 14*g**3 - 11).\nAnswer: -4*g**4 + 22*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**2 + 7*g - 5. Let u be c(-8). Let s be u\/9*(-2 + 89). Solve -3*a + 1 = 4*l + 9, s = -5*l + a for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 14244?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -9*k + k + 0 - k**2 + 2 + k. Let f be g(-7). Suppose -s + f*a = 2*s - 1703, 3*s - 1679 = -4*a. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**3 + 4*z**2 + 6*z - 1. Let p be (-1)\/(7\/(-14)) - -3. Determine j(p).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 41\/141 + 2\/47. Let l(a) = -a**3 + 13*a**2 + 37*a - 101. Let i be l(15). What is the nearest to i in -2, 5, t?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f + 2 + 4. Let x be (-26 - -2)*3\/f. Let q = 27 + x. Solve -q = 5*z, 2*n + 2*n - 4*z = 16 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j**5 - j**5 - j**5)*(-2 + 1 - 1) + j**4 - j**4 + 3*j**5 + (5*j**3 - j**3 - j**3)*(0 + j**2 + 0).\nAnswer: 10*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -146 in 0.1, -4\/5, -4, -3, -0.6?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/5*((-7339)\/164 - -51)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 204660 a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -2*d. What is j(-7)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -524*x - 100*x**2 + 524*x. Let a(d) = 117 - 58 - d**2 - 59 - d**2. Calculate a(h(n)).\nAnswer: -20000*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let r = 3811220 - 2717055. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 97 - 147. What is the common denominator of 2\/3 + 206\/(-48) and (4*(-27)\/z)\/(12\/40)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 632501261 - -5?\nAnswer: 632501266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 + 11 + -1 + 3?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = a - 15. Let r(q) = 57 - 2*q**2 + 3*q - 10*q + 5*q. List the prime factors of r(a).\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -82, -110, -140, -172, -206?\n\"Answer: -b**2 - 25*b - 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 14\/65 and (((-198)\/(-22))\/(-504))\/(30\/(-968)).\nAnswer: 2730","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.24, -1, 1303, -1.7, 0.2?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 2 b when three letters picked without replacement from {a: 1, n: 1, c: 1, b: 2, x: 1, d: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 257\/4 - 64. Let o = -11\/3 - -4. Let k = -0.694 + -3.306. What is the second biggest value in k, l, o?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.1 or -90784?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 66943.57ml in litres?\nAnswer: 66.94357","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*v + 5*i + 19, 90*v - 3*i = -87*v + 183*v + 15 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*n = 9*n - 334500000. Round n to the nearest one million.\nAnswer: -67000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 150121924?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 + -7. Let q be (-2)\/(u\/9*-3). Let w be (-2)\/(-6) + q\/6. Solve 0 = -5*z - w*z - 25 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-5\/2)\/(p**(4\/17)*p))**(-7))**(3\/4) assuming p is positive.\nAnswer: p**(2667\/136)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v + 13. Let o(h) = -33*h - 2693. Let n be o(-82). Calculate c(n).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (29195 - 1194*g**2 - 29195)*(1 - 1 + 1)*(-3 - 3 + 1).\nAnswer: 5970*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -40.9 and -0.1?\nAnswer: 40.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 9687 and -0.2.\nAnswer: -1937.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/5)\/(-2*3\/36)?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 504 - 489. Solve d + 2*o - 20 = -d, -d = 2*o - m for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 385 by -8524.\nAnswer: -385\/8524","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 810391, 1620791, 2431219, 3241693, 4052231, 4862851, 5673571, 6484409?\n\"Answer: 3*u**3 - 4*u**2 + 810391*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6187?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) -2\/9 (c) 10\/3 (d) 194.5 (e) 3\/2 (f) 0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -164.80691 to zero dps.\nAnswer: -165","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 468451 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/10 + (-81)\/45 - -6. Let w(q) = -q - 1. Let f be w(-5). What is the highest common divisor of f and d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 3, 7, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.93 - -1.03. What is the third biggest value in 3, -5, -0.6, i?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -109 in 12, 0.4, -1, 2\/11?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 95174221 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:48 PM and 6:15 AM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 115007.\nAnswer: 19, 6053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7*(-7)\/490*(-30)\/(-4).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f - 3*t + 46 = 50, -2*t - 4 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 65 = -v, 3*n + 0*n - 238 = -4*v. What are the prime factors of v?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*j - 10*j + 11*j + (-3 + 9 + 0)*(0 + 3*j + 0) - 26*j + 488 - 488 - 6*j + 2*j + 2*j + (5 - 1 - 3)*(3*j + j - 5*j) - 4*j + 0*j + 3*j + j - 6*j + 4*j.\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 - 8. Let q be (h - 1)*(-2 + 0). Suppose 3*z + 10 = q*z. Solve 0 = p - u + 1, 2*p - z = -2*u - 4 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 17169363 and -575.\nAnswer: 17168788","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 6 = -2*f. Let k be (-3 + 3)\/f + 2. Solve k - 6 = g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -8 + 6 + 1*14. Suppose 0 = 5*h - 5*i + 2*i + 16, 5*h + r = i. Let j = -551.2 + 551.6. Which is the third biggest value? (a) 2\/7 (b) j (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5\/6 (b) 523.17536 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the second derivative of w**6\/6 + 23*w**2\/2 - 28*w. Differentiate n(g) with respect to g.\nAnswer: 20*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 269993?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (1 - 7) + -1 + 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = y - 142, 5*y + 4*w = 3*y + 276. Let f = y - 151. Which is smaller: f or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0\/(1 + -2) - 1. Let t be (1 + c)*5\/(-15). What is the second smallest value in 1\/2, t, -1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 7da77b + 1a?\nAnswer: 7da796","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1741927?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w = 13*w - 35. What is the first derivative of 1 + 10*z**4 + w*z**4 - 7*z**4 - 3 wrt z?\nAnswer: 32*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2565 - 2212. Calculate the remainder when x is divided by 45.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 7\/2 of a milligram?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 12 - 96 = 0. Let h = -12\/185 - 3269\/370. Calculate the common denominator of 4 - (4 - (-124)\/z) and h.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -536*l**4*m - 19*l**3*m - 55077*l**2 + 2*l*m wrt l?\nAnswer: -12864*l*m - 114*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/10)\/(5\/(-75))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(14) + 2*sqrt(504))\/(-1*sqrt(1008) + sqrt(1008) - sqrt(1008)) - (1 + ((-1 + sqrt(200) - sqrt(200)) + sqrt(200))*5))*-1)**2.\nAnswer: -1226*sqrt(2)\/3 + 376921\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 326.1 + -280. Let w = j + -49. Let c = w - 2.1. Sort 3, c, 1\/6 in ascending order.\nAnswer: c, 1\/6, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*a - 330 = -2*m, -53*m + 55 = -48*m - 4*a for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1448 take away 4300362338?\nAnswer: -4300362338.1448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3674 is divided by 230?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 596803 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 10503 - -11573?\nAnswer: 22276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4.5 + -4. Let y = 7 + -3. Let p = 0.29386 + -0.69386. What is the nearest to 0.1 in p, y, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1825458, -1825465, -1825472?\nAnswer: -1825479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 + 2. Let y = b + 1. What is the closest to y in 5, -3\/5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -432*l = -368*l + 1280 for l.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -133.106 - -0.106. Let n = w + 133.5. Which is the third smallest value? (a) -1\/3 (b) 9 (c) n (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-136945)\/342300 + (-2)\/(-5). Let c = w - 15593\/9128. Find the common denominator of -31\/44 and c.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3077 less than -95.3?\nAnswer: -3172.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes before 1:20 AM?\nAnswer: 2:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 123\/110750 and -149\/150.\nAnswer: 332250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 + 10. Solve n - 2 = f*h, 0 = -2*n + 4*h - 7*h - 7 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 7*r + 12. Give f(-4).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l. Let x be c(7). Let f = x - -10. Solve 0 = -f*h - h - 16 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-78 - 6*b + 78)*(0 + 1 - 3) + 117 - 117 + 8*b)*(-1 - 2 - 4).\nAnswer: -140*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 139 = 5*s, -3*f = -5*s - 5*f + 142. Let i = 5 + s. Suppose 0*p - 9 = -p. What is the least common multiple of p and i?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes before 10:11 AM?\nAnswer: 4:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 130 (base 5) to base 4.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41*d**3 - 37*d**3 - 44*d**3 - 40*d**3 + 204*d**3 - 43*d**3.\nAnswer: -d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 171*q - 1378. Is 23 a factor of h(36)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -444, -705, -966, -1227, -1488?\n\"Answer: -261*u - 183","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 779, 861, 1161, 1787, 2847, 4449, 6701, 9711?\n\"Answer: 18*v**3 + v**2 - 47*v + 807","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 32325 to the nearest integer?\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 457*f**4 - 410*f**2?\nAnswer: 10968*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -42*w**5\/17 + 254*w**4\/17 + 1448*w**3\/17 + 2016*w**2\/17 + 1024*w\/17 + 160\/17 = 0.\nAnswer: -2, -1, -2\/3, -2\/7, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -11*k**2. Let t(d) = 2*d. Determine t(c(s)).\nAnswer: -22*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1216585963 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in r + 9*r - 19*r + 0*r + 6*r.\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 218 + -202. Solve -72 = -k*z - 88 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 27 = -0*r + 2*r, -4*r + h = -21. What is the remainder when 16 is divided by r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 5*y**3 - 19*y**2 - 19*y + 43. What is c(4)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 27075 divided by 1\nAnswer: 27075","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 64\/12 - (-2)\/(-6). What is the third derivative of -2*q**2 + 4*q**2 - 2*q**2 - 6*q**2 - 7*q**o wrt q?\nAnswer: -420*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -w + 20. What is the second derivative of 22*r**w - 17*r**4 - 93*r**4 - 28 - 3*r wrt r?\nAnswer: -1056*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 323*j - 306*j = 34. Let a(r) be the second derivative of r**3\/6 + 3*r**2\/2 + 2*r. Let y be a(j). Solve 3*g = -k + 1, -y*g = k + k - 3 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 6 - 5)*(-2*o - 2*o + 3*o)*(-o**3 + o**3 + 2*o**4).\nAnswer: -8*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 19 in 2.6, -0.5, 1?\nAnswer: 2.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the third derivative of -2\/3*r**3 - 2*r**2 + 0*r + 0 + 0*r**4 + 1\/20*r**5. Differentiate d(w) with respect to w.\nAnswer: 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n + 17. Let v be g(10). Suppose 0 = -5*f + 3*f - 3*w + 11, v = 2*f - w. What is the greatest common factor of 32 and f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 7*z**3 - 5*z**2 + 7*z - 2. Let k be p(2). Solve 5*o - k = -28 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/((-6)\/41) - 10\/(-30). Suppose 6*x = s + 40. Solve -9 = 3*n - j, 3*n - 2*j + x = j for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19757 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1684956\/98 + 7*(-24)\/(-294) and 10?\nAnswer: 85970","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 6 + 10325241155?\nAnswer: 10325241164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 167581?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (8\/(-10))\/((-2)\/10). Suppose -v*l + 5 = l. Suppose -2*k + 2 + 4 = 0. Solve n = -8*o + k*o + l, -3*o = -3 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 12362*q - 1990289. Give z(161).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20\/40)\/((-1)\/(-6))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/1074735 and -35\/262713?\nAnswer: 11822085","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**5\/9 - 2006*x**4\/9 + 223780*x**3\/3 - 75188744*x**2\/9 + 74519408*x\/9.\nAnswer: 2*x*(x - 334)**3*(x - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 3 = -3*p, -3*u = -u - 2*p + 2. Let s = u - -3. Suppose s + 3 = h. What is the least common multiple of h and 22?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2632*q + 2632*q - 8*q**2 - 6.\nAnswer: -8*q**2 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiiiiiiii. Give prob of picking 3 i.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/(-147) - (-5712)\/(-441).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2043571.59 rounded to the nearest 10000?\nAnswer: 2040000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**3 + 6*g**2 + 12*g - 9. Let n(j) = j**3 - 5*j**2 - 12*j + 9. Let w(l) = -5*m(l) - 4*n(l). Let d be w(11). Let h = 4 + d. Solve -5 = s - h*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/40 of a milligram?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -18*z + 13*z. Suppose 5*k + 45 = -p + 13, 3*p + 4*k + 41 = 0. Let s = 11 + p. Do z and s have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -10*u + 84. Determine k(8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -40450, -80898, -121348, -161800, -202254, -242710?\n\"Answer: -x**2 - 40445*x - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 17547 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 4, z: 1, g: 1, t: 5}. What is prob of sequence zt?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 587 - 577. Suppose -o*f + 20346 = 6816. List the prime factors of f.\nAnswer: 3, 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3199 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, -5\/2, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 2*u**3 + 43*u**2 - 22*u + 12. Let w be n(-22). Let d(g) = g - 9. Calculate d(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -17, -70, -157, -278, -433, -622?\n\"Answer: -17*l**2 - 2*l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2106\/8 - 2\/8. Suppose -2*m = 4*s + 698, -5*m + 409 = -4*s - 282. Let r = s + b. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -89*o**2\/4 - 1151*o\/8 + 5055\/8 = 0.\nAnswer: -1685\/178, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 7*b - 2*b. Suppose 0 = -b*o - d - 9, o + 3*d - d = -8. Let g be 5\/20*o*3. What is the second biggest value in 0, g, -5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 57*b**3 - 3*b**2 - b - 3. Is x(4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, -31, 2, 5, -3, 0.77, -2\/3.\nAnswer: -31, -13, -3, -2\/3, 0.77, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**2 - 6*k - 1. Let u be q(-5). Suppose -20 = u*y, o + y = 2*y + 6. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2673 - -30080. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 26*a. Let c(j) = -442*j. Give 3*c(m) + 52*u(m).\nAnswer: 26*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + q + 2*q = -51, -3*g - 3*q = -81. Let w be (-4)\/(4\/g - 6\/154). Let k = -26 - w. Solve -k*j = -1 - 3 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 120*z**2 - 28*z + 27. Let f be 35\/(7 - 2) + 4. Is v(f) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 7) in base 14?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 - -10. Let h(l) = l - 11. What is h(j)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2183 - 2023. What is the least common multiple of 248 and o?\nAnswer: 4960","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - r = 14, -22*x + 3*r + 32 = -18*x. Let s(z) = 4*z**3 + z**2 - 3*z - 45. What are the prime factors of s(x)?\nAnswer: 3, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -5*a + 3*a + a - 1. Let v be l(-3). Suppose -v*j + 3*j = 9. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 - 0)\/(4 - 3). Let j = 1572 + -2249. Is j\/(-2)*(2 - h) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1469 in -1, 58, 0.057?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z**3 + 2065*z**2 + 1069902*z + 4246632 = 0. Calculate z.\nAnswer: -1047, -1014, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1557109?\nAnswer: 1557109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*g**2 - 10*g**2 + 28*g**2.\nAnswer: 8*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 367, 727, 1087, 1447, 1807, 2167?\n\"Answer: 360*x + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 4*s = -8*s + 85202, -2*n + 56802 = 2*s. Suppose q + 20124 = 2*y, 1785 = 3*y - 2*q - n. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 119 divide 5464480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*j**3 + 9*j**3 + j**3.\nAnswer: 7*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Do -13 and -19 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(1\/3)\/b**3)\/((b\/b**(1\/7)*b)\/(b**(2\/23)\/b)) assuming b is positive.\nAnswer: b**(-2626\/483)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**2 + 62*n - 790. Let d be f(20). Calculate the highest common divisor of 2050 and d.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(60)\/(sqrt(36)\/sqrt(3)*1)*-6.\nAnswer: -6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 45, 4\/7, -7\/62, -2\/11, 5?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes after 2:19 AM?\nAnswer: 7:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.973 rounded to one decimal place?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 41326693 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 13394*h + 8. Let s(g) = 870610*g + 518. Let f(c) = 4*s(c) - 259*t(c). Let y(i) = -i. Calculate f(y(q)).\nAnswer: -13394*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63 is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (108\/(-60))\/(63\/30)*7.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*a - 13 + 7*a + 4 as y + o*a and give y.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -198*k**3 - 336*k**2 + 2. Let t(w) = 201*w**3 + 335*w**2 - 3. Let y(r) = 3*j(r) + 2*t(r). Find the third derivative of y(x) wrt x.\nAnswer: -1152","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 32735 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -99*c**2 - 473*c + 19908. Give h(12).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12245 - -12506. Solve 0 = 27*l - 180 + d for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/9 + 370\/(-45). Let z be (-3)\/(-12) + (-14)\/g. What is the first derivative of -3 + o**3 - 2*o**4 + o**3 - z*o**3 wrt o?\nAnswer: -8*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -6*x - 3. Suppose -f + 3*t = -6, t + 4 = 5*t. Let u = 7 - f. What is the smallest common multiple of p(u) and 6?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 17*y - 3. Let x(w) = 17*w - 4. Let f(c) = -4*d(c) + 3*x(c). Let j(g) be the first derivative of -g**2 + 82. Calculate f(j(a)).\nAnswer: 34*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + (5 + (sqrt(153) - sqrt(17)) - sqrt(17)))*-3)**2 - (sqrt(153) + (sqrt(153) + sqrt(153)*1)*3)\/(sqrt(9) + -1*sqrt(81) + sqrt(81)).\nAnswer: 83*sqrt(17) + 378","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/(x*x*x**(-3\/4))*x**10 assuming x is positive.\nAnswer: x**(39\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.0768*-1906\nAnswer: -146.3808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1852 - -1854.078. Let l = -0.078 + y. Which is the closest to 1? (a) 0.4 (b) l (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5780?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 17919 + -17912. What is the closest to -0.0603 in x, -1, 5\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**2 - 65*q - 1421. What is y(-49)?\nAnswer: -637","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 6.90583 millimeters?\nAnswer: 6905.83","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 4*p = 20, q - 5*q = -5*p + 25. Suppose -2340 = -q*b - 13*b. Calculate the highest common factor of 72 and b.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(6\/11))**(-2\/19)*d\/(d\/(d\/d**23)*d)*d**28 assuming d is positive.\nAnswer: d**(1033\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 24, -54, 4, 0, 1 in ascending order.\nAnswer: -54, 0, 1, 4, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -25 in 1, -77, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*b**2\/7 - 35832*b\/7 = 0. Calculate b.\nAnswer: 0, 8958","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.6 (b) -48.3 (c) 11 (d) 0 (e) 2 (f) 2\/5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15 - 3. Let l(v) = v**3 - 3*v**2 + 1. Let b be l(4). Let f = b + g. Sort 5, f, -4 in ascending order.\nAnswer: -4, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 58.41 + -65. Let g = v + 7. What is g rounded to one dp?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -370*b**4 - 7185*b**3 + 4*b**2 - 68373566*b + 2 wrt b.\nAnswer: -4440*b**2 - 43110*b + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - 53*16\/(-104).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 139 by -35.\nAnswer: -139\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 19560506 and 170.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 + (-3)\/(-3) + 0 + 0. Solve -2*a + 3*f = -t, -5*a - 4*f - 3 - 1 = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 4*g - 1. Let i be j(1). Let h be (-2338)\/(-9) + 4\/18. Suppose -w + h = i*w. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -15*f + 96. Let h be (-6)\/(-10) + f\/((-240)\/(-882)). Which is bigger: h or 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*m - 913 = -649. Calculate the remainder when 174 is divided by m.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppppwvwvpwvyyvvnppv. Give prob of picking 1 p and 1 v.\nAnswer: 14\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ezm when three letters picked without replacement from zzxzmxxdxyemzzmzzm?\nAnswer: 7\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.525855407 to 3 decimal places.\nAnswer: 0.526","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + f = 18. Let w be -9*3\/f*-1. Suppose 3*m = -2*j - w*j + 31, 3*j = -3. Does 8 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 3, h: 3, a: 3, l: 3, t: 3, w: 2}. Give prob of sequence tal.\nAnswer: 9\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.42, -2, 5.6, -0.536, 2 in decreasing order.\nAnswer: 5.6, 2, -0.42, -0.536, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -41*m - 98. Let f be (5 - 9\/2)*-30. Is j(f) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 3, v: 4, j: 1, c: 1, b: 4}. Give prob of sequence cv.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11)\/22 + 14\/20.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 63 = -5*p. Suppose p*d - 255 = 16*d. What is the tens digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.8135 - -2.871395. What is m rounded to two dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 205829569 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 712106.3um in nanometers?\nAnswer: 712106300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 g, and 2 f when four letters picked without replacement from {g: 3, k: 1, f: 6, x: 1, o: 2}.\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/((-3)\/5)*228\/(-190)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -78 - -2?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1330.511616ms to weeks.\nAnswer: 0.00000219992","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 48 and 12?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y - 3*y. Suppose y = 3*p + 15, p - 52 - 18 = -3*b. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1079147 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(51) - sqrt(510)\/(sqrt(10) + sqrt(30)\/sqrt(3)))\/(1*sqrt(300) + sqrt(300)).\nAnswer: sqrt(17)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 45875 and 500?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -59 + (13 - -15) + -18 + 19?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5698?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*o + 0*o + 0*o)*(-o**2 + o**2 - o**4) + (7*o**4 - 7*o**2 + 7*o**2)*(3 - 3*o - 3).\nAnswer: -15*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2\/5 (b) 8 (c) 0.2 (d) -7\/2258 (e) -2 (f) -3\/2 (g) 0.7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -18.23 (b) 85 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42869977 - -2.\nAnswer: -42869975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 80? (a) 6\/13 (b) -0.2 (c) -0.3 (d) 1510 (e) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 671253?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1173429 is divided by 3144.\nAnswer: 717","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 85, 182, 227, 124, -223, -910?\n\"Answer: -16*p**3 + 70*p**2 - p + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 372351 (b) 2\/3 (c) 1\/9 (d) 3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 0.720776 tonnes?\nAnswer: 720776","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**3 + z**2 + z + 1. Let j = 0 + 0. Let k be s(j). Is 0\/k + 3 - -10 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -p**4\/3 + 1378*p**3 - 1778475*p**2 + 678442500*p = 0.\nAnswer: 0, 684, 1725","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.4, 0, -0.2, 21.67, 2\/33?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a century in decades?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 31, 0.6, 0.4, -0.4, -2.\nAnswer: -2, -0.4, 0.4, 0.6, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0187629 - -57331?\nAnswer: 57330.9812371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 84.35525nm to centimeters.\nAnswer: 0.000008435525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**2 + 6*l - 35. Let y be c(-15). Let z be 1 - -67 - (-2 + 1). Let i = y - z. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j - 46 + 16. Let d = j - -13. Suppose -2*p + p - 20 = -h, d*h - 5*p - 52 = 0. Solve -3*t - t = s + h, -4*s + 9 = -5*t for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the third derivative of 43*u**8\/56 + u**4\/4 - 5*u**3\/3 - 136*u**2 + u. Find the second derivative of f(j) wrt j.\nAnswer: 5160*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -3*k. Let d(l) = -l**3 - 11*l**2 + 11*l - 1. Let y be d(1). Let x(t) be the first derivative of 3*t**2\/2 - 4. Determine y*x(i) - 3*b(i).\nAnswer: 3*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*v - 14*v - 5 = 0. Is v > -10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes after 5:53 PM?\nAnswer: 12:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 - 3 - 3)*(-3*i - i + 2*i) + (-4 + 1 + 2)*(-140*i + 74*i + 149*i))*(2 + 2 - 3).\nAnswer: -69*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 + -201?\nAnswer: -200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -13*v**2 + 24*v - 10. Let j(i) = 7*i**2 - 12*i + 5. Let f(a) = 9*j(a) + 4*w(a). What is the remainder when f(2) is divided by 20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -16 + 21. Suppose -h = -5*c + 20. What is the least common multiple of 8 and c?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31 = -55*m + 60*m - 2*z, 5*z = 4*m - 35 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 5*q**3 + q**2 + q - 1. Suppose 4*z - 4*u + 7*u + 11 = 0, -4*z - 2*u = 6. Let c be g(z). Suppose -49 = -c*l + 53. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from owwotwmttztmwwmtomwr. Give prob of sequence tmmt.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.2 - 1.2. Which is the closest to o? (a) 4\/7 (b) -2\/21 (c) 1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n - 5. Let j be t(8). Let d(a) be the second derivative of 12*a**3 + 2*a**2 - 2*a. Let b be d(j). Calculate the highest common factor of b and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -4079, -8190, -12343, -16538, -20775, -25054?\n\"Answer: -21*s**2 - 4048*s - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8522*f + 16128 - 8065 - 8063 to the form o + h*f and give h.\nAnswer: 8522","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the first derivative of i**4\/12 - 3*i - 12. Let j(s) be the first derivative of v(s). Let t(m) = 6*m**2. Calculate t(j(d)).\nAnswer: 6*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/((-100)\/15)*7\/((-84)\/(-104)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1031?\nAnswer: 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 433 * 7\nAnswer: 3031","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 3*q**2. Let g(h) = 39846800*h**2. What is m(g(b))?\nAnswer: 4763302410720000*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 21\/2 of a millennium?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 16752598 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4, 87, -1\/3, 3\/8, -2?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the first derivative of 2*n**5\/5 - 14*n**3\/3 - 2. What is the third derivative of b(c) wrt c?\nAnswer: 48*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -25*b. Let q(r) = -14*r. Let o(c) = 4*g(c) - 7*q(c). Let m(k) = -k + 27 + 6*k - 3*k. Give m(o(w)).\nAnswer: -4*w + 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**3 + j**2 + 451. Is d(0) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes after 10:39 AM?\nAnswer: 1:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -499*a + 6 + 502*a - 82*a**2 - 19*a**2. Let p(v) = 102*v**2 - 4*v - 7. Let l(z) = 4*p(z) + 5*s(z). Find the second derivative of l(h) wrt h.\nAnswer: -194","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -42 - -93. Is f a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v + 9 - 0. Suppose -v*n = -5*n + 4. Is 13 a factor of 39\/6*n*2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6 + 3*2\/(-6). Let c(q) = -q**3 + 4*q**2 + 2*q + 5. Let h be c(p). Let i = h + 25. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -749*o + 762*o + 65 = 0. Let u be (-17000002)\/(-1) - (1 - 1). Let s be u\/o - 4\/(-10). What is s rounded to the nearest 1000000?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -35\/131778 and -83\/905885898.\nAnswer: 2717657694","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d - d - 4*x - 6, 4*d - 5*x - 28 = 0. Suppose d*z - z - 16 = 0. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 118 + -77. Suppose 2*s - r = 25. Let i = 94 - s. Is i a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 183*b + 3. Let l be d(4). List the prime factors of 2\/(-9) + l\/27.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3111 (base 4) to base 3.\nAnswer: 21220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 133 and 1554637.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 18482 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2, 2, 0, 0.03, 0.1 in increasing order.\nAnswer: -3, -2, 0, 0.03, 0.1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-73498)\/5)\/(8\/(-40)). Suppose -t = -3*s + t - x, 4*s + 98002 = -2*t. Round s to the nearest 1000.\nAnswer: -25000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the third derivative of -10*j**4 + 199*j**3\/6 - 51*j**2 - 3. Find the first derivative of p(x) wrt x.\nAnswer: -240","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2369, 1, -3 in descending order.\nAnswer: 2369, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 2 r when three letters picked without replacement from {r: 3, g: 1, z: 1, u: 1, f: 1}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the third derivative of 23\/12*l**3 + 11\/15*l**5 + 91\/48*l**4 - 2*l**2 + 0*l + 5 - 1\/60*l**6. Factor m(z).\nAnswer: -(z - 23)*(2*z + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 3*t - 2. Let x(p) = -4*p**2 - 72*p + 48. Let z(n) = 24*f(n) + x(n). Let i be 2*(-2 + 3\/1). Let g(v) = 1 - v**i - 1. What is g(z(r))?\nAnswer: -16*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**2 - u + 3. Let h(f) = -f + 9. Let k be h(9). Suppose k = 4*b - 16, 2*l - 11 = -2*b - 3. Let c be d(l). What is the closest to -0.3 in -1, -5\/3, c?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.002746604 rounded to 4 decimal places?\nAnswer: 0.0027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1022110 - 102201121?\nAnswer: -111001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9869 = 486*y + 2579 for y.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**3 + 24*b**2 + 78*b + 206. Let k be f(27). Calculate the greatest common divisor of 100 and k.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**3 + 10*m**2 - 2*m - 14. Let i be a(-9). What is the remainder when ((-45)\/25)\/((-3)\/i) is divided by 21?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6465?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4476596 to the power of 1\/2, to the nearest integer?\nAnswer: 2116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 6*o - 6 + 2 - 2*o. Calculate the least common multiple of 9 and x(2).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 2 a when three letters picked without replacement from {n: 6, t: 5, a: 4}?\nAnswer: 36\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105*u + 133*u + 280 = 0. Let l(h) = 2*h**2 + 12*h - 1. Calculate l(u).\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -4*l**2. Let z(u) = -11889*u. Give z(d(p)).\nAnswer: 47556*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 - 5. Suppose 0 = -4*g + 330 - 110. Let k be 45\/g - (1 - 0). Put v, k, -5 in descending order.\nAnswer: v, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -336709\/30 + 11219. Suppose -3*z = z - 6272. Find the common denominator of c and z\/528*(-6)\/4.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 25, 4, -21, 0?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.7297*-0.1.\nAnswer: 0.07297","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -178722 (base 10) to base 16.\nAnswer: -2ba22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 1207*y - 3649. Determine z(3).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -109*j + r - 540, 0*j + 27 = -4*j + 4*r - 25 + 52 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1e8 (base 15) in base 12?\nAnswer: -30b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of (7 - -1) + 9\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1276207?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 61495038953 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -17288? (a) 1\/14 (b) 10 (c) -1\/3 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 153 - 97. Let o be 37\/s - (-4)\/(-14). Suppose 0 = 137*h - 51*h. Which is smaller: o or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 140713?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 15*s - 71. Factor -15*r**3 - 9*r**2 + 23*r**3 + 3*r**5 - 8*r**4 + s*r**4 - 23*r**3.\nAnswer: 3*r**2*(r - 3)*(r + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4185?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10284245 is divided by 1701.\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 + -8)\/(-11 + 12) + 4. Let w = -9 - -25. Let p = a + w. What is the smallest common multiple of 11 and p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 115\/2 - 1031\/18. Let j = -60.21 - -87.21. What is the closest to j in h, 0.5, 0.2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3719\/472 or -0.5?\nAnswer: -3719\/472","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -5504+3\nAnswer: -5501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**2 + 6*n - 2. Let m be s(-6). Suppose -2*f - 29 = 3*d, -2*d + 5*f - 14 = -1. What are the prime factors of 104\/6*d\/m?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:28 AM and 11:45 AM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x*x**40*x*x*x**(13\/2)*x assuming x is positive.\nAnswer: x**(101\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from higg. What is prob of sequence ihgg?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1065, 1827, 2589, 3351, 4113?\nAnswer: 4875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1.5, 0.2, 20.4, 4, 5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 313807, 1255233, 2824275, 5020933, 7845207, 11297097, 15376603?\nAnswer: 20083725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - w = -24. Suppose -4*s = o - 4*o + 19, 0 = 2*o + 2*s - w. Let r = o + 11. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y + 20. Let m be n(11). Suppose -57 - 114 = -m*x. Calculate the remainder when 55 is divided by x.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 2*p**2 - p - 4. Let k be y(4). Suppose -5*i + 272 = 12*i. What is the greatest common factor of i and k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-168)\/(-2940))\/((-216)\/(-1267)) and -9\/35?\nAnswer: 3780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w + 1. Let b be j(4). Let r = b - -5. Suppose 2*l + 2*t = 0, 0 = 5*t + 10 + r. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the second derivative of a**4\/2 + a**3\/6 - 4*a - 7. Let h be 0 - -1 - (0 - 0). Calculate p(h).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 460, 15, 4, 0.2, 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1612 a factor of 196476619?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1000001 (base 2) in base 3?\nAnswer: 2102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from wquwuqqquu?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-2)*2\/3*-1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 78814 and 1004?\nAnswer: 502","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 4. Let g(b) = b - 60. Determine g(y) + 5*n(y).\nAnswer: y - 40","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 + -2. Let b = -24 - -27. Which is greater: k or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -15*y**2 + 9. Let i(c) = 7*c**2 - 4. Let t(f) = f**2 - 12*f + 11. Let n be t(10). What is n*i(a) - 4*w(a)?\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 21 - -33. Suppose 3*b - 1 = 11. Suppose -25 = 5*t, b*h + 4*t - 2*t = m. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12041 is divided by 52?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -99646.447 to the nearest 100.\nAnswer: -99600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 50 - 12)*((-1 + 1 - 1)*(3*r + 3*r - 5*r) + (0 + 0 + 2*r)*(-3 + 2 + 0) + 5*r + 3*r - 4*r) in the form d*r + v and give d.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -3451221 (base 6) to base 5\nAnswer: -21142403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1840*x**3 + 8330*x**2 + 3985*x + 420.\nAnswer: 5*(x + 4)*(8*x + 3)*(46*x + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 56758 - 56753. Suppose d = 3*v - 16, 5*d + 8 = v + 4*d. Suppose v = 6*l - 2*l. Solve 3*w - l = y for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13565 (base 10) to base 14.\nAnswer: 4d2d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9 + -6. Let s be ((-6)\/10)\/((-4)\/20). Suppose -s*v + 4*r - 23 + 70 = 0, -3*v - 3*r = -75. What is the highest common factor of v and i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 123561 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.010761107 rounded to 4 decimal places?\nAnswer: -0.0108","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the first derivative of -3*b**3 - 2*b**2 + 3*b + 1430. Give g(1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0012175643 rounded to 6 dps?\nAnswer: 0.001218","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the third derivative of -t**6\/120 + 43*t**5\/60 + 20*t**2. What is the third derivative of b(y) wrt y?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 135\/100 + 6\/(-8). Let w(o) be the first derivative of 3\/20*o**4 + 1\/5*o**3 - 3\/10*o**2 - 5 - r*o. Factor w(i).\nAnswer: 3*(i - 1)*(i + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 25\/6, 661, -5, -68 in increasing order.\nAnswer: -68, -5, 25\/6, 661","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2804.\nAnswer: 2, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*j**5 - 786*j**4 - 88870*j**3 - 1574190*j**2 + 303056*j + 1360776 = 0.\nAnswer: -31, -6\/7, 1, 118","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**2 + 11*o - 2. Let z(r) = 13*r**3 - r**2 + 5*r - 3. Let u be z(1). Suppose -u - 121 = 15*p. Calculate v(p).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1102 from -4.59.\nAnswer: -1106.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 34.20674 nanoseconds?\nAnswer: 0.00000003420674","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.088 - 0.78849. Let w = l - 0.3. Round w to 4 decimal places.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -23*i + 32*i + 2277. Let r = -237 - i. Let w(c) = 3*c**2 + 4. Let q be w(-6). Calculate the highest common divisor of q and r.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37246 - h - 37246.\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 388*v + 2044 - 13217*v**2 - 13221*v**2 + 26437*v**2 + 506 with respect to v.\nAnswer: -2*v + 388","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (80*d + 85*d + 0*d + (3*d + 0*d + 0*d)*(-5 - 2 + 4))*(3*d**4 - 3*d**4 - 2*d**4).\nAnswer: -312*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*(h\/h**(-2\/9)*h)\/h*h**(2\/3))**(-17\/7) assuming h is positive.\nAnswer: h**(-442\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -2007052, 2\/17, 4 in ascending order.\nAnswer: -2007052, 2\/17, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117) + (sqrt(117) - -5*-1*sqrt(117)) - sqrt(117))\/(sqrt(90)\/(sqrt(50)\/sqrt(5))).\nAnswer: -4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -5. Let x(z) = z - 1. Let l(y) = 4*i(y) - 20*x(y). Let k(d) = d. Let p be (-5)\/70*-2*7. Let g(u) = -2*u. Let m(q) = p*g(q) + 5*k(q). What is l(m(v))?\nAnswer: -60*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 7*q = -g + 2, -45 = -3*g + q. What is the smallest common multiple of -1 + 3 - 4 - -4 and (-8)\/2 + g\/2*2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -12\/17 (b) 21 (c) 4 (d) -1 (e) 3 (f) 0.1 (g) -1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x + x. Suppose -4 = -2*c - 2. Which is greater: x or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18558059, 18558062, 18558065, 18558068?\nAnswer: 18558071","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the second derivative of 3*j**3\/2 + 3*j. Let y(h) be the third derivative of -h**4\/24 - 7*h**2. Determine d(y(s)).\nAnswer: -9*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 133576*m + 133226*m - 266902*m.\nAnswer: -100*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -63 + 74. What is the remainder when 87 is divided by h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 6, p: 3, l: 6}. Give prob of sequence iii.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -3039 divided by -2?\nAnswer: 3039\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:11 AM and 1:39 PM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 + 3. Suppose 3*z + g - 11 = q, 4*z + 3*g - 18 = g. Let m = z - 9. Let a(h) = -4*h. Let i(f) = 4*f. Calculate m*a(b) - 6*i(b).\nAnswer: 4*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 606221.\nAnswer: 7, 11, 7873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14 - -10. Let g be 1 - 4\/(i\/(-3)). Does 18 divide g\/(-1) - 38\/(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -201 - -205. Let l be (-42)\/9*(-3 + 9\/v). What is the nearest to 1\/2 in -1, l, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n + 0*i + 2*i = -4, 0 = -5*n - 2*i - 13 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:07 PM and 6:17 PM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 218995?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:50 PM and 2:53 PM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*(-1)\/99*3*(-906)\/(-3020).\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes after 1:20 PM?\nAnswer: 9:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37*-0.4584.\nAnswer: -16.9608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12628504 divided by 28.\nAnswer: -451018","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14, -5, -36, -79, -134?\nAnswer: -201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 933 and 153311493.\nAnswer: 933","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = 4*j - 22, d = 6*d + 3*j - 19. Suppose 4*z - d*z = 0. Which is bigger: -1\/2 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -53 or -1.47?\nAnswer: -1.47","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**2 + t - 3. Let h be r(0). Let q = -112 - -123. Suppose -v = q*v + 24. Sort 0, h, v in increasing order.\nAnswer: h, v, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 91 + -91.4. What is the nearest to -1\/5 in -5, -2, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -92, -176, -258, -338, -416, -492, -566?\n\"Answer: x**2 - 87*x - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -23895 in -1, 0.025, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -5302279, -10604550, -15906821, -21209092?\n\"Answer: -5302271*q - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -26*r + 13*r - 39*r in the form w*r + f and give w.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*f - 27*f - 11 + 11 = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 2*m = 3*l - 21, 2*l = 5*m + 26. Solve -j + 4*k - l + 6 = 0, 0 = j - k + 3 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 133947?\nAnswer: 3, 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(125) + sqrt(5) - (sqrt(15)*-2)\/sqrt(3))**2 + -5*sqrt(20)*2.\nAnswer: -4*sqrt(5) + 321","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 3 e when four letters picked without replacement from {s: 2, e: 10}?\nAnswer: 16\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 4 = -0. Suppose -3*z + 8 + u = 0. Let x be (6 - 0) + 5*2. Solve -y + 4*y = -v + z, -2*y + x = -2*v for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 258738304?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*g + 3*n - 4, 4*g - 3*n = -0*g + 4 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14 + 13.46. Let s = 0.06 - o. Let r = 0.4 - s. Does r = -0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-216)\/(-945)*(-10)\/(-120)*42?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 4*f**2 + f + 970. Let j(a) = 11*a**2 + 3*a + 2910. Calculate -17*d(c) + 6*j(c).\nAnswer: -2*c**2 + c + 970","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**2 - 5. Let d be b(0). Let l(g) = 4*g - 8. Let w(a) be the first derivative of -a**2 + 4*a + 3251. Give d*w(u) - 3*l(u).\nAnswer: -2*u + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -239, -0.1, 0.06, 5, 0.2 in ascending order.\nAnswer: -239, -0.1, 0.06, 0.2, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -42060400 to the nearest 1000000.\nAnswer: -42000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12880 + -12869. What is the greatest common factor of 1859 and l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 292086625?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 41982 != 503?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1719.8 + -1720. What is the fourth smallest value in 1, c, 21.2, -12?\nAnswer: 21.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1 - ((-78372)\/((-54)\/(-6)) + 7).\nAnswer: 2, 19, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 33\/102512?\nAnswer: 33\/102512","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110011100111101 + -10101110?\nAnswer: 110011010001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.99 + 2. Let r be 1*-2 - (-13)\/4. Let a = 210 + -209.9. Sort a, r, n in ascending order.\nAnswer: n, a, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3783?\nAnswer: 3, 13, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 13*q**2 - 24*q - 15. Let c(k) = -20*k**2 + 37*k + 22. What is -5*c(h) - 8*o(h)?\nAnswer: -4*h**2 + 7*h + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11531\/2*s**2 + 16928\/3 + 185\/3*s**3 + 1\/6*s**4 + 34040\/3*s = 0.\nAnswer: -184, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v - 5*v - 6*v + v + 5*v. Let g be (-4)\/((-3 + 1)*1). Let x(k) = -6*k**g + 3*k**2 + k**2. Give s(x(l)).\nAnswer: 8*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 36*v - 13*v + 13 - 17*v - 8*v - v**3 wrt v.\nAnswer: -3*v**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes after 3:28 AM?\nAnswer: 12:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 11761 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 197.4 + -196. Let k = -0.2 - a. Which is smaller: k or -0.1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gski when four letters picked without replacement from giggksksikgkk?\nAnswer: 2\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1675, 6663, 14977, 26617, 41583, 59875, 81493?\n\"Answer: 1663*l**2 - l + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 - -12244152?\nAnswer: 12244154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1544573, -3089156, -4633749, -6178358, -7722989, -9267648?\nAnswer: -10812341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8797044 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let u = 43964 - 43937. Suppose o + 6*v = 3*v + 7, 3*o + 15 = 3*v. Let a(r) = -r**3 - r**2 - 3*r - 3. What is the remainder when u is divided by a(o)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 119048944?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4539 - 5568 - 8847 = 486*n for n.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 139820081 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -101*s + 691. Calculate w(15).\nAnswer: -824","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1260 is divided by 271.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -23 - -9. Let s = 29 + z. Let g = s + -7. Solve -a = a - g for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -7 + 15 - 7\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/49, 0, 466, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 63 and 411003?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 90 + -89.9999878. What is z rounded to six dps?\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 478.493711 to the nearest ten.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.55 (b) -4 (c) 77529 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*c - 3*n + 4*n + 22 = 62*c, -2*c + 64 = 18*n for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77*f + 82*f - 420 = 0. Suppose 9*h - f = -39. Solve 4*c = 4 - 0, -3*z - h*c = -14 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-14 - -22) + -5 + 22\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6000642.\nAnswer: 2, 3, 12347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/6 and -139\/102101166.\nAnswer: 102101166","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2551205\/42 + 60746. Calculate the common denominator of ((-5292)\/(-288) - 16)\/((-9)\/(-20)) and v.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(242) + 1 + -2 + sqrt(242) + -2 + 4 + sqrt(2) + 0 + sqrt(50) + 0 + 1*sqrt(2) + -1 + 5)**2.\nAnswer: 1450*sqrt(2) + 8535","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -h**2*v - 2*h**2 + 18*h*v + 7*h + 16*v + 53 wrt v.\nAnswer: -h**2 + 18*h + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h + 36 = -180. Calculate the highest common factor of 9 and h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 26*l**2 - l**4 + 7*l - 17*l + 7*l to the form h*l**4 + o*l + g*l**2 + x + b*l**3 and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 3*f + 9 = 3*n, -3 = -2*n - 3*f. Find the second derivative of 3*b + 4*b**3 + n*b - 4*b - b**3 wrt b.\nAnswer: 18*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g - 5886 = -5846 for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**3 + 7*s**2 - 16*s - 2. Suppose 2*y - 3 = -19. What is the tens digit of q(y)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*((3*(sqrt(171)*-4 + sqrt(171) - sqrt(171)) - sqrt(171) - sqrt(171)) + sqrt(171))\/((sqrt(324) + sqrt(9))*-5)*3)**2.\nAnswer: 115596\/1225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -100 - j - 3*j + j.\nAnswer: -3*j - 100","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*(k*k*k**(-12))\/k*k)\/(k*(k*k\/k**17)\/k)*k**(-16)\/k*k\/k**5)**(-3\/40) assuming k is positive.\nAnswer: k**(9\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**2 - 18*r - 3. Suppose -45 = 7*g + 46. Is o(g) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the third derivative of -d**6\/120 - d**5\/30 + 5*d**4\/24 + 2*d**3\/3 + 23*d**2. Let t(q) = q**3 + 2*q**2 - 6*q - 5. Give -5*i(n) - 4*t(n).\nAnswer: n**3 + 2*n**2 - n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/1*((-584)\/178 + 3). Let q = 9311\/1780 + r. What is the common denominator of 3\/10 and q?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2506546 - -2506556.100434. Let w = l - 10.1. What is w rounded to four decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (6 - (4 - 3))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -43.97 + 446.97. Which is the third smallest value? (a) 2\/5 (b) n (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 459 or -5925?\nAnswer: 459","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + i - 3*o = 120, -79 = -4*i - o. List the prime factors of i.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(121)\/(sqrt(11)*2) - sqrt(11)) + 4.\nAnswer: 4 + 5*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -13\/30?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*i**3 + 2*i**4 - i - 4*i**2 + 0*i**2 - 11*i**3 + i**2 - 3*i**4 to the form t*i + s*i**2 + y*i**4 + x*i**3 + z and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 670 is divided by 145?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51 + 9 = 3*a. Let h = a - -3. What is h rounded to the nearest 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 74.3708 minutes?\nAnswer: 4462248000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 984615 - 10830763\/11. Solve -c*t**2 + 204\/11*t - 5202\/11 = 0 for t.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**3 + 4*y**2 + 5*y + 19. Let z be h(-5). Let t = 514 + z. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -134762.03 rounded to the nearest ten thousand?\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2882.923 - 2883. Let u = 10 - 8. What is the fourth biggest value in u, -5, -0.3, w?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 44976417 and -4.\nAnswer: 44976413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10 + -19. Let h(v) = 19*v**3 + 11*v**2 - 70*v + 31. Let z(j) = -1472 - 9*j**3 - j**2 - 5*j**2 + 1456 + 35*j. Let l(c) = q*z(c) - 4*h(c). Factor l(k).\nAnswer: 5*(k - 1)**2*(k + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 3*s = f - 54, 0 = -s - 3. Suppose 5*c + f = 2*i, i + 5*c = 2*i - 27. Solve -i = -2*l + 3*n, 2*l - 2*n = -4 + 12 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 0*k = 3*k + 277, 0 = 2*m + 4*k - 144. Let p = -631\/5 + 7247\/60. What is the common denominator of ((-3)\/12)\/(4\/m) and p?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k - 285 = 72. Suppose -k = 125*u - 128*u. Solve 21*s = u*s - 12 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**3 - 3*v**2 + 2*v - 2. Let y be g(3). Let q be (-38)\/(-14) + y\/14. Suppose -q*f + 35 + 412 = 0. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 4*c - 4, -3*n + 4*c + 12 = c. Let m = n - 1. Find the second derivative of m*h**4 - h**4 - 4*h**4 - h wrt h.\nAnswer: -24*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s*s*s**(4\/13)\/s))\/s**(4\/9)*((s\/((s\/(s*s**(12\/5)))\/s))\/s)\/s**(-22\/9))**26 assuming s is positive.\nAnswer: s**(662\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b - 2*b - 20. Let x = b + -3. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven tenths of a millimeter in micrometers?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3176131 or -3176116?\nAnswer: -3176131","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*y = -149*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19515?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -294 divided by 3\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1916602240 and 4480?\nAnswer: 4480","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 8*z + 2 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:55 PM and 4:11 PM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5\/8*(-2)\/(-1). Let n = -61 - -62. Is n greater than or equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/(-14) + 3003\/49 + 4. Suppose 0 = 3*t - g + 5. Calculate the highest common divisor of 140 and t.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1\/8)*b**(-7))**(2\/19) assuming b is positive.\nAnswer: b**(-3\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 109 + 124 - 66*m + 114 - 468 + 121.\nAnswer: -66*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 30*n**2 - 2*n - 3. Let h be k(-2). Let s be (-2)\/26 - (-112056)\/1131. What is the highest common factor of s and h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-21637 - 22282 + 34181)*(s - s + s + 3*s + 0*s - 2*s + (-2*s - 3*s + 4*s)*(-2 - 1 + 2) + 2 - s - 2) in the form d + k*s and give k.\nAnswer: -19476","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -18600*g**3 + 736*g + 5 wrt g?\nAnswer: -111600*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-33 + -2)*(-18)\/21. Is (f\/25)\/(46\/(-50) - -1) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 - -6. Suppose -3*r = -2*w + w - 15, -h*w = 2*r - 2. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes before 5:27 PM?\nAnswer: 12:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41 is divided by 16?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 14*o**2. Suppose -4*x + 5 = 3*l, -3*x = -x + 4*l. Suppose -4*a + 0 = -8. Let y(j) = -5*j**2 + 4*j**2 + x*j**a. Determine y(w(v)).\nAnswer: 196*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1061, -4222, -9483, -16850, -26329, -37926?\nAnswer: -51647","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**(-2\/5)*t)\/((t\/t**5)\/t))\/(t\/t**(-1\/4)*t*t\/(t*t**0)*t))\/((t**(-6)*t)\/t*t\/(t\/t**(-2))*t*t\/(t\/t**(1\/4))*(t\/(t**(-2\/5)*t))\/t) assuming t is positive.\nAnswer: t**(97\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1677?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 4*a**4\/7 + 1656*a**3\/7 - 46980*a**2\/7 + 40824*a = 0.\nAnswer: -441, 0, 9, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 72 = 3*k. Suppose -k*r + 4*r + 380 = 0. List the prime factors of r.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 3 m when four letters picked without replacement from {v: 6, h: 3, m: 7, r: 1, l: 2}?\nAnswer: 35\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-38)\/(-665))\/(16\/200). Let b(q) be the first derivative of i*q**2 + 2\/21*q**3 + 0*q - 22. Solve b(w) = 0.\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -16*c**3 + 4*c**2 + 10*c + 5. Let q be g(-1). Let i(m) = -m**3 + 18*m**2 - 46*m + 19. Determine i(q).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-9))**(-35)*l**(1\/5)*l**(-1\/4) assuming l is positive.\nAnswer: l**(6299\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (432*s + 219*s - 214*s)*(-7 - 1 + 1 + (1 - 2 + 3)*(-3 + 2 + 0) + 3 - 2 - 3).\nAnswer: -4807*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 746408470 rounded to the nearest 100000?\nAnswer: 746400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 91 a factor of (-11109)\/(-2) - 4 - 4\/(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 2*g**2 + 2. Let q(w) = 525*w**2 + 48. Determine -120*o(c) + 5*q(c).\nAnswer: 2385*c**2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: What is fifty-three quarters of a milligram in micrograms?\nAnswer: 13250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8.9 - 9. Let k = 0.64971 + 0.05029. Put -0.4, t, k in decreasing order.\nAnswer: k, t, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 24 - 19. Suppose -w*r + r + 72 = 0. Is (r\/(-12))\/(9\/(-402)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d - 1. Let r(n) = 8*n + 4. Let o(t) = 2*t**2 - 4*t - 5. Let s be o(-1). Calculate s*r(u) + 6*j(u).\nAnswer: 2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the third derivative of 0 - 3*i**2 - 1\/60*i**5 - 11*i - 13\/6*i**3 + 0*i**4 - 14\/15*i**6. What is the third derivative of z(t) wrt t?\nAnswer: -672","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 j when two letters picked without replacement from kxkkkanpaj.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 21*r - 23*r + u - 41, -11*u + 14*u = -20*r + 97 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 + 1)*(-3*o**2 - 2*o**3 + 3*o**2)*(-3 - 5 + 5) + 0*o**3 - 2*o**3 + o**3 + (0 + 0 - o**2)*(-o + 2*o + 2*o).\nAnswer: 14*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7 - -231.\nAnswer: 224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10 or 8.8?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k**5\/3 + 10*k**4 - 25*k**3\/3 = 0. What is k?\nAnswer: 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5526161 + 0?\nAnswer: -5526161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:20 PM and 6:17 AM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * -0.0976616\nAnswer: -0.02929848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes before 6:34 AM?\nAnswer: 1:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*g**3 + 32*g**3 - 3*g**3 + 4*g**3.\nAnswer: 58*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (8\/32)\/((-42)\/16). Suppose 2*t = 5*r - 14 - 31, t = 4*r - 36. Let y be (-4)\/(-12) + (-3)\/r. Sort 2, y, d.\nAnswer: d, y, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39368 = -44*l + 17612. What are the prime factors of l?\nAnswer: 5, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7662102 by -6.\nAnswer: 1277017","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 1 = -5. Let v be 1*(2 - 4\/b). Do v and 1\/15 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5 or 5393?\nAnswer: 5393","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -35970 by -15.\nAnswer: 2398","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-39141 - 4292*g + 39141)*(-3*g**2 + 2*g**2 - g**2)*(2*g**2 + 2*g**2 - 3*g**2).\nAnswer: 8584*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1573048 and 524.\nAnswer: 524","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from ccbbcccccc?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate r*s**3 + 854011*r*s**2 - 546*s**3 - 209*s**2 - 5 wrt r.\nAnswer: s**3 + 854011*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*a**3 - 922 + 922.\nAnswer: 6*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 43 and 29830648?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9291 and 171?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 112408\nAnswer: 5\/112408","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(154)\/sqrt(567) - sqrt(154)\/(sqrt(7)*-5))\/(-6*sqrt(99)*-5*-6).\nAnswer: -7*sqrt(2)\/12150","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zk when two letters picked without replacement from kbkbmzkk?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4304829659 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 1466, -21, 3, -5, 5 in decreasing order.\nAnswer: 1466, 5, 3, 1, -5, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 25600 and 10.53.\nAnswer: 269568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 46047 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z - 4, 20164 = 3*w + w - 4*z. Suppose -5*j - w = -20544. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1013 - 299 = 42*h for h.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 + -2. Let w = -0.8 + 0.5. Which is the smallest value? (a) w (b) 1\/3 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/2? (a) 5 (b) -4 (c) -0.4 (d) 1\/6 (e) -7.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*a = 10*a - 118 + 364 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**3\/4 + 2*b**2 + 23*b\/4 - 15\/2.\nAnswer: -(b - 10)*(b - 1)*(b + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -273*c + 5*c**3 - 228*c - 280*c + 781*c.\nAnswer: 5*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqqdycyccq. Give prob of picking 2 q and 2 y.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 4, -5, -1, 11, -3 in increasing order.\nAnswer: -5, -4, -3, -1, 4, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**2 + 4*q - 5. Let h be t(3). Let r be (-2)\/(-6) + 253\/33. Let u = -8 + r. Put -7, h, u in ascending order.\nAnswer: -7, h, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18749760617 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 60962 to the power of 1\/3, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-21)\/(-3)*-18*2942\/(-42)?\nAnswer: 2, 3, 1471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*t - 29 = 35. Solve 2*q - 5*v + t + 6 = 0, 3*q + 15 = 3*v for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 81*n + 154. Let b(o) = -56*o - 102. What is -8*b(r) - 5*l(r)?\nAnswer: 43*r + 46","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**2 - 5*t + 5. Suppose -x = 3*x - 40. Suppose 0 = -o - o + x. Let j(k) = k**2 - 2*k + 2. Calculate o*j(w) - 2*z(w).\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:32 PM and 3:54 PM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 44649 and 1023.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 4*z**3 - 3*z**2 - 6*z + 8. Calculate the remainder when n(3) is divided by 36.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2526 times 2057.28?\nAnswer: 5196689.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 15, s: 4}. Give prob of sequence jsj.\nAnswer: 140\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000746688225 rounded to seven decimal places?\nAnswer: -0.0000747","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 114 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o + 4. Let g be f(-4). Suppose -2*h = -g*h. Suppose h = -3*c + 5*c, -2*c + 16 = 4*u. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, i: 11, q: 7}. Give prob of sequence si.\nAnswer: 11\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -88 * 11.665\nAnswer: -1026.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-28)\/238 + (-66)\/(-272). Which is the fourth biggest value? (a) -1\/11 (b) -3\/4 (c) k (d) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 + -58 - (13 - 0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1178 and 62.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w + 1. Let n(u) = 1. Let g(i) = -2*n(i) - 2*q(i). Let t be g(3). Suppose -134 = -t*a + 14. Does 13 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1883.5 and -23810.\nAnswer: -44846135","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 0 = -y. Let p = y - 0. Let k be (0 - 0)\/(p + -1). Is k less than or equal to -3\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**2 - 5*c - 5. Let h = -50 + 74. Suppose -7*z + h = -3*z. Let l be r(z). Sort 0, -5, l in increasing order.\nAnswer: -5, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + c = q - 12, -4*c = q - 20. What is the third biggest value in 0.5, -11, q, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -89 + 93. Suppose 5*c = -k*a + a + 56, 0 = 5*c - 5*a - 40. Suppose 0*y = 3*l + 4*y - 54, -y + 45 = 3*l. Calculate the lowest common multiple of c and l.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -155*c**2 - 142. Let t(y) = 467*y**2 - y + 426. Let d(a) = -2*t(a) - 7*x(a). Find the first derivative of d(f) wrt f.\nAnswer: 302*f + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.66 + -13.56. Let d = x + 11. Let j = 0 + d. Put 4, -4, j in ascending order.\nAnswer: -4, j, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 1 - 1 + 2*c. Let b(a) = -1444*a**2 - 1438*a**2 + 2898*a**2. What is b(d(p))?\nAnswer: 64*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -309 + 4633\/15. Let t be 6\/4*(-1 - 1). Let b be (2 + t)\/1 + 2. Which is bigger: r or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(72) + -1 - (sqrt(242) + -3).\nAnswer: -5*sqrt(2) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10621031 and 35656?\nAnswer: 4457","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the third derivative of -g**7\/35 - g**5\/10 - 11*g**3 + 4*g**2 - 27*g. Differentiate k(q) wrt q.\nAnswer: -24*q**3 - 12*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n and 1 t when four letters picked without replacement from {n: 14, t: 4}.\nAnswer: 364\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*k + 380 = 150. Which is the closest to 0.3? (a) 4 (b) k (c) -4\/3 (d) -11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lloocollocoono. What is prob of picking 1 c and 2 o?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -19 - -22. Let y(q) = q**3 - 3*q**2 - 3*q + 2. Calculate y(g).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = 7*b - 3*b. Let v(p) = -p - 8. Let h be v(b). Suppose 5*f + 5 - 175 = -5*l, -22 = -f + h*l. Is 20 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 28734?\nAnswer: 28734","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 25\/(-9) - 2\/9. What is the nearest to -0.2 in y, -1\/2, 4\/7?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9381?\nAnswer: 3, 53, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 452765281?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 15 - 5 + (-3 + 2 + 2)*(4 - 4 - 1) + 1 - 2 - 1)*(0*j**4 + 8*j**4 + 8*j**4) in the form o*j**2 + m*j**3 + g*j + i*j**4 + x and give i.\nAnswer: -384","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 - -44.33682\nAnswer: 43.93682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78857*n + 912 = 78809*n for n.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1165 - -1185. Calculate the lowest common multiple of 2\/(-4) + 121\/2 and b.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -162*d**3 + 806597*d**2 + 7 - 806597*d**2 + 159*d**3.\nAnswer: -3*d**3 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.7 + -0.2. Let u = -0.028 + -3.972. Which is the closest to -0.2? (a) o (b) -1 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -122 - -100.7. Round j to the nearest ten.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12 and 3309294?\nAnswer: 6618588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-552)\/48*700\/(-1150).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15 + -15. Let j = z + -2. Let w be (-2 - -4)*(j - -4). Solve 5*s = 3*q, -2*s - w*q - 11 = -3*q for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + -0.296?\nAnswer: 4.704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39 is divided by 19?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**3 - 5*g**2 + 6*g + 3. Let y be q(-6). Suppose 0 = 2*f - y*f + 1. What is the smallest common multiple of f and (-75)\/(-13) - 36\/(-156)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.6 + -22.6. Let b = -19.00537 - j. Round b to 4 dps.\nAnswer: -0.0054","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -51 + 509\/10. Which is the closest to 1? (a) u (b) 0 (c) -2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the first derivative of -74*g**3\/3 - g**2\/2 + 28*g - 121. Find the second derivative of j(h) wrt h.\nAnswer: -148","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -5 + sqrt(1700) + sqrt(1700) + 2 + 4 + sqrt(1700) + 3 + (5 + 6*-1*sqrt(1700))*2)**2.\nAnswer: -2160*sqrt(17) + 137844","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4125\/19 + -217. Let s = 0.415 + 0.585. Suppose 4*i = -0*i. Which is the nearest to s? (a) -1 (b) p (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.01 (b) -0.4 (c) 9 (d) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 142300122 a multiple of 1167?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8265 + 8667. What is the remainder when 1210 is divided by w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -110.26 - 2.74. Let r = p - -113.0000065. What is r rounded to six decimal places?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2*(15*1 + -2). Let g(u) = -196*u - 262. Let i be g(-2). What is the highest common factor of i and p?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10 + 0. Let f = x - -14. Suppose a + f*a = -2*c - 10, 0 = -4*c - a + 16. Solve -c*j + 9 = -1 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 262 and 6.\nAnswer: 786","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*(-4)\/8*(-112218)\/(-3804).\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 241013 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**3 + 7*c**2 + c - 3. Let l be w(5). Let v = 89 - l. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:00 PM and 7:49 PM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c + 5*c + 2117 - 8237. Let v = 30 + 38. Calculate the greatest common divisor of v and c.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 98*z + 2*d + 126 = -72, -6 = 5*z - d + 2*d - 5*d for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4\/19403 - 1804367\/543284. Find the common denominator of 149\/318 and a.\nAnswer: 4452","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9287 + -9287.0013727. Round x to 4 dps.\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -298*i - 298. Let b be x(-1). What is the nearest to 2\/9 in b, -2.6, 4\/3, 5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -56813 and -56814 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6205, 6280, 6347, 6400, 6433, 6440, 6415, 6352?\nAnswer: 6245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 + -170?\nAnswer: -165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = 3*g + 5*l, 3*l - 2 - 4 = -2*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -42\/60001687 or 0?\nAnswer: -42\/60001687","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48462361.\nAnswer: 3989, 12149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -4*9*-94*1\/24. Suppose 112 = -k*m + 148*m. Solve 0 = 8*j - 24 - m for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 126744703, 253489406, 380234109?\nAnswer: 506978812","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -48907.39931 - -48908. Let c = l - 0.6. What is c rounded to 4 dps?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1002445747 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 29*l + 259. Is s(-6) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 225 and 180?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8, -10, -12, -14, -16?\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14940, -3, 1074 in increasing order.\nAnswer: -3, 1074, 14940","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s - 321 + 147. Suppose 2*y - 2*c - 6 - 28 = 0, -5*c = -15. Calculate the remainder when s is divided by y.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-889*u - 1040*u + 8025*u)*(3 - 3 - u**2).\nAnswer: -6096*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-2 + 8 - 4) + -1 + 2\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 7}. What is prob of picking 3 o?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -15*h - 133. Let b(f) = -22*f - 207. Determine -8*a(w) + 5*b(w).\nAnswer: 10*w + 29","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one eighteenth of a day?\nAnswer: 4800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**2 - l + 15. Let n be j(8). Let s = -68 + n. Let f be 9 - ((-8)\/2)\/2. Solve -s*i = f + 1 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 208599?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -60406\nAnswer: 2\/30203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12325 by 5.\nAnswer: -2465","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 40\/(-40)*1\/2. Let l = -8\/305 + -3581\/14640. Let n = 1\/16 - l. Which is the nearest to 2\/9? (a) -4 (b) g (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 39*z - 492. What is x(12)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 137?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -147238665079 less than -0.34?\nAnswer: 147238665078.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:22 PM and 1:29 PM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -25, -258, -915, -2206, -4341, -7530, -11983, -17910?\n\"Answer: -35*p**3 - 2*p**2 + 18*p - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ikv when three letters picked without replacement from kkkvivkkvi?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (15\/12)\/((-1)\/(-16)). Find the second derivative of -1224*b - 1 + 1230*b + i*b**5 + 21*b**5 wrt b.\nAnswer: 820*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 15*s + 5*w, -196726*w = 5*s - 196724*w - 1 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 738 by 5.\nAnswer: 738\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3583080?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4333 or -6092?\nAnswer: -6092","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -389 divided by -38901?\nAnswer: 389\/38901","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 640757.\nAnswer: 13, 23, 2143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 2*p**3 + 3*p + 2. Let n(h) = 1. Let y be (2 - 1)\/(14 - 15). Determine y*v(o) + 2*n(o).\nAnswer: -2*o**3 - 3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 150 + 1912.1277\nAnswer: 2062.1277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28 - 389 - 4*r + 21 + 59 - 4*r + 283.\nAnswer: -8*r + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 56 - -433556?\nAnswer: 433645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 819*u - 13111. Give o(16).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 23\/28 + -4\/7. Let f = -0.8 - -1.01. Sort -4, d, f in descending order.\nAnswer: d, f, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5193 to the power of 1\/2, to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 3 - 1 = -x, -2*d + 12 = 3*x. Suppose -2 = -2*i + x. Solve -5*r = -4*u, -i*u = -0*r + r for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -748, -876, -1086, -1378?\nAnswer: -1752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(121) - sqrt(121))*1)\/sqrt(11)*3 + (-1*sqrt(110)*2 + sqrt(110))\/(sqrt(250) - sqrt(250)*-1 - sqrt(250)).\nAnswer: -31*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/(-1) + 4\/6. Let u = -2.972 + 53.982. Let x = u - 51. Is l smaller than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 230.61 and -13.923.\nAnswer: -3210.78303","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 + (-3 - 0 - 9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 9063498 take away 0.1?\nAnswer: 9063497.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + v = 15. What is the first derivative of o - 6 - v*o + 0*o + 1 wrt o?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**3 - 2*h**2 + 2. Let b = -123 + 125. Let z be s(b). Is z at least 18\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 2506?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 5, 3, 2\/3, -2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z**4 - 1021621*z**3\/4 + 553371*z**2\/2 + z\/4 - 42567\/2 = 0 for z.\nAnswer: -1\/4, 1\/3, 1, 85134","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -154*v - 61. Let q(o) = -461*o - 202. What is 3*q(f) - 10*x(f)?\nAnswer: 157*f + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -470*f**2 - 585*f - 40. Let s(q) = -7*q**2 + q. Let t(g) = d(g) - 25*s(g). Determine a, given that t(a) = 0.\nAnswer: -2, -4\/59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*i + 32 = -13. Let z(p) = -4*p**3 + 6*p**2 - 7*p - 6. Let v(j) = -3*j**3 + 5*j**2 - 6*j - 5. Determine i*z(c) + 6*v(c).\nAnswer: 2*c**3 - c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53729213?\nAnswer: 53729213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**3 - x - 64. Let m be i(-4). Which is the third biggest value? (a) 0 (b) 1 (c) m (d) -0.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let j = 14 - 13.7. Let o = 1 - 2. What is the nearest to -1\/3 in 3, j, o?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 851 divided by 87.\nAnswer: 851\/87","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n**2 + 4*n**2 - 4*n**2 + (-3*n + 2*n + 2*n)*(-2 + 2 - n) + 0*n**2 - 6*n**2 + 4*n**2)*(0*n**3 + 0*n**3 - 5*n**3).\nAnswer: 25*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 24\/(-16) + 4013\/2 + (28 - 33) and 10.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 71.53839 weeks to milliseconds.\nAnswer: 43266418272","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -4*s. Let o(w) = 7*w + 1. Let p(d) = -11*j(d) - 6*o(d). What is the remainder when 46 is divided by p(15)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**2 - 19*f + 45. Let g be m(-20). Solve -4*v - v = g for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**3 + 51*n**2 + 165*n + 117.\nAnswer: 3*(n + 1)*(n + 3)*(n + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4158)\/(-36) + (-3)\/(-6). What is the highest common factor of x and 261?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from huuhhuhhuh. Give prob of sequence uhuu.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**3 + 5*o**2 - o - 2. Suppose -3*c + 2*c + z + 10 = 0, 8 = -2*z. Let p be c\/15 + 28\/(-20). Let l = p - -3. Give b(l).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -58, -54, -50, -46, -42?\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuabezeuuubzzuueeuaz. What is prob of picking 1 z and 1 a?\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -141*u = -146*u - 25. Let w(a) = a**3 + 5*a**2 + 4. Give w(u).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 40 - 38. Suppose -g + m - 3 + 0 = 0, 5*g - 4*m + 12 = 0. Solve b - 2*b - j = g for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*w + 30*w = 8. Suppose a - w*a = -2*i - 5, 3*i + 3 = 0. Factor 0*x + 0*x**2 + 1\/2*x**4 + 1\/2*x**a + 0.\nAnswer: x**3*(x + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 424*i**3 - 9*i**2 + 36*i - 42. What is the tens digit of d(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dv when two letters picked without replacement from uuuuvduuuudhuu?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 46525103 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 119217.528 milliseconds to days.\nAnswer: 0.0013798325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1219602 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -559 - -563. Suppose -5*j = 2*m + 4, 2*j + j - 4 = 2*m. Suppose 3*g + g = j. Solve 40 = -r*t - 4*p, -3*t + g*p - 10 = -p for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes after 12:47 PM?\nAnswer: 11:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6549 and 531?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*n - 31 + 31)*(2*n - 14 + 10*n - 10*n).\nAnswer: 20*n**2 - 140*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, 651, -1\/13, -1\/3, -2\/47 in descending order.\nAnswer: 651, -2\/47, -1\/13, -1\/3, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1*-2 + 24\/6. Let h be (-1)\/2*(-10 - -2). Let j(t) = 3*t + h - 2*t - 4*t + 2*t. Give j(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 152*h + 437. Calculate b(-4).\nAnswer: -171","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*p**3 - 78*p**3 + 41*p**3.\nAnswer: -p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*c**3 - 87102986*c**2 + 174205970*c**2 - 15*c**3 - 87102984*c**2.\nAnswer: -6*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**4\/(w\/w**(-1\/3)*w)*(w\/(w**(-1\/2)\/w))**(-48))**10 assuming w is positive.\nAnswer: w**(-3550\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 282267896?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, -0.4, -1\/3, -0.02, 346?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*y + 17 = 10*y - 3*x, -5*y - 2*x = -119. Suppose y*p = t + 20*p - 12, -16 = 4*p. Solve i = -2*w - 11, -5*i + t*w - 10 = w for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 26166905?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -17426, 2 in ascending order.\nAnswer: -17426, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + 1 - 6 - 6.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 85172 and 4.\nAnswer: 85172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the second derivative of -h**7\/14 + h**6\/15 - 1541*h**3\/3 - 615*h. Find the second derivative of k(x) wrt x.\nAnswer: -60*x**3 + 24*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2040?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 111 a factor of 10942?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes before 9:07 PM?\nAnswer: 5:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 - 0. Suppose 9*u = a*u + 10. Factor 1\/2*s**u + 0 + 0*s.\nAnswer: s**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2158, 1590, 56, -2924, -7830, -15142, -25340, -38904?\nAnswer: -56314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 227 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.25 - -0.15. Which is the nearest to 2? (a) -0.4 (b) q (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 266053027?\nAnswer: 1459, 182353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t + t + 12. Suppose -3*i + w = -1396, t*i - 4*i + 461 = 4*w. Let d be i\/(-4)*64\/(-24). What is d rounded to the nearest one hundred?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 167235*k**2 + 19*k. Let w(s) = -12*s. Give w(d(a)).\nAnswer: -2006820*a**2 - 228*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*d**3 - 82526 + 165043 - 2*d**3 - 82517.\nAnswer: d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1024 - 921. What is the highest common factor of 4429 and u?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1498, 1500, 1502, 1504, 1506, 1508?\n\"Answer: 2*i + 1496","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 985 divided by -5?\nAnswer: -197","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*i - 57 = 3*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.0608 + -0.0608. Which is the nearest to 5.5? (a) i (b) -1 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**3 - f**2 - f. Let g(w) = -44*w**3 + 4*w**2 + 4*w - 35. Let z(c) = -g(c) - 4*v(c). What is the derivative of z(o) wrt o?\nAnswer: 120*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-6) + 2)*(-3)\/(-34)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1799 by -15.\nAnswer: -1799\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -69226 or -18?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 197308177 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-285)\/(-152) - 2)\/((-2)\/(-28))?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/20 - (-5865)\/850?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*s + 3, -3*o + 22 + 18 = 5*o + 3*o + 4*s for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6*((78\/(-5))\/1)\/(170\/(-40800)*216).\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 213.77573 times -2\nAnswer: -427.55146","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -197866.9695 + 0.0097\nAnswer: -197866.9598","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 128 divide 9216?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2530 and 15686?\nAnswer: 78430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 45\/7 or 225?\nAnswer: 45\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**2 + 2*a - 1. Let r be n(1). Let q = 2 + -2. Let l be (-3)\/15 - (-1)\/5. Solve d + q*d - r = l for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 87*r**5 + 2*r**2 + 958*r wrt r.\nAnswer: 1740*r**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 105 divided by -3?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0\/(-4))\/((-4)\/12*3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 3*y**3 + 6*y**2 - 224*y - 449. What is t(-2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 634014 divided by 11741.\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1901*m**3 - 1500*m**3 + m**2 + 3124*m**3.\nAnswer: -277*m**3 + m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5.42 - -0.42. What is the biggest value in 1\/5, 0, b, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 52, 138, 282, 484?\nAnswer: 744","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixth of a year in months?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 126799*d**3*n + 442*d**3 - d**2 wrt n?\nAnswer: 126799*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**3 + 309775*o**2 + 464658*o.\nAnswer: o*(o + 154886)*(2*o + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11 + -8. Suppose -2*f - 3*m = -17, 3*f - z*m + 0 = 48. Calculate the highest common divisor of f and 52.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-8)\/(-36) - 125\/(-45). Let k(t) = t**3 - 3*t**2 + 2*t - 11. Let n be k(c). List the prime factors of -2 - n\/(25\/1260).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -20 - 7*x - 2*x**2 + 19 + x**2 + 2*x**2. Let f(h) = h**3 - 9*h**2 - 9*h - 6. Calculate the smallest common multiple of w(8) and f(10).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v - 165 = 3*v. Let i = 46 - v. Let h = 18 + i. Calculate the remainder when h is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7032 = -30*s + 42*s. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*l**2 + 7*l**2 + 6*l**2 + (3*l - l - 3*l)*(-3*l + l + l))*(-21 - l + 9*l + 19 - 101).\nAnswer: 48*l**3 - 618*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(2\/5))**(-11\/2))**(-21\/8) assuming z is positive.\nAnswer: z**(1617\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -61 in -0.5, 3, 1\/18, -40.88?\nAnswer: -40.88","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.391 * -0.117916.\nAnswer: -0.046105156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -2*i**3 - 16630*i**2 - 40369550*i - 30448136250 = 0.\nAnswer: -4725, -1795","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b*b\/(b*(b*b**(2\/3))\/b)*b)**(-39))**(-31)*(b*b**(-1\/2))\/(b*b\/b**(-7))*b**(-2\/15)*((b**(3\/2)*b)\/b)\/b assuming b is positive.\nAnswer: b**(42193\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 2*x - 12 = 0, -7*x - 28 = -5*b - 3*x. Suppose 0 = -5*n + 9 + 11. Solve n = 3*y - y, b*c - y = 18 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the first derivative of -2*x**6\/3 - 4*x**3 + 27*x - 29. Let l(t) be the first derivative of o(t). What is the second derivative of l(n) wrt n?\nAnswer: -240*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -135 divided by -144732.\nAnswer: 45\/48244","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 5*q + 42 for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.2596828ml?\nAnswer: 0.0002596828","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 127753888 is divided by 55?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 10*v*x**2 - 48*v*x + 4319*v + 31703*x**2 + 5*x - 66 wrt v.\nAnswer: 10*x**2 - 48*x + 4319","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(4\/11)*r*r\/(r**(-11)\/r))\/((r\/(r\/r**(2\/9)))\/(r*r**(-10))) assuming r is positive.\nAnswer: r**(509\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 559930810?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a kilogram in milligrams?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 102 - 18. List the prime factors of j.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28598.\nAnswer: 2, 79, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 + -80. Let k = 74 + i. Suppose k*v = -3*b + 206, 3*b - 212 = v - 18. What is the greatest common factor of 6 and b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the first derivative of -7*t**6\/6 + 9*t**2\/2 + 6. What is the second derivative of d(s) wrt s?\nAnswer: -140*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 44*i**2 + 1304*i - 2784.\nAnswer: 4*(i - 2)*(11*i + 348)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = 11*t + 15. Let y(c) = 10 - 2*c**t + 14 - 15 + 4*c. Is y(-7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42072?\nAnswer: 2, 3, 1753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - ((0 - 0) + 5).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 100424 and 56.\nAnswer: 702968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-8)\/(-10))\/(2\/70). Suppose 24 = a + 3*d, -37 = -5*a - 4*d + c. Solve 3*j + a = -0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*d = -k - 23*d - 11, 5*k + 2*d - 14 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 4, y: 5, d: 2, s: 4}. Give prob of sequence ssdr.\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -5*y**3 - 2*y**2. Let n(g) be the first derivative of -11*g**4\/4 - 4*g**3\/3 - g**2\/2 + 2. Determine 5*h(t) - 2*n(t).\nAnswer: -3*t**3 - 2*t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that n**3 - 53*n**2 - 225*n - 171 = 0.\nAnswer: -3, -1, 57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -156 = -3*r - 0*r. Let t(k) = -k + 18. Let a be t(23). Let l be (-258)\/a - 66\/(-165). Is l greater than or equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 125215421 + -2?\nAnswer: 125215415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g + 2 + 6. Let r(j) = -j**2 - 5*j + 3. Let b be (4 + -1)\/((-15)\/20). What is the remainder when r(b) is divided by g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 m, and 1 b when three letters picked without replacement from {m: 2, b: 1, o: 1, n: 2, s: 1, h: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*s + 3*s + 148 + 85 = 4*s + 2*w, -4*w - 17 = -s for s.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 146?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**2 - 2*b + 3. Let w(g) = 2*g**2 + 13*g + 8. Let a be w(-6). List the prime factors of l(a).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 565, 576, 591, 610, 633?\nAnswer: 660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 132372048 divided by -132372048?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Do -150 and -135533\/895 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2172 is divided by 154.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2217.48 meters to nanometers.\nAnswer: 2217480000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 11*g**2 + 7*g + 2. Suppose 98*q - 94*q + 8 = 0. Let y be -5 + (6 - q\/(2\/(-3))). Is c(y) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 5*y - 23 = b, 2 = 2*y. Let q = -718 - -440. Let f = -187 - q. Calculate the highest common factor of f and b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -110736, -221445, -332154, -442863?\n\"Answer: -110709*f - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -60*o + 29*o. Solve 5*h = 3*z + 2*z - 40, z - 4*h - 17 = o for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67*k - 81 - 53 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -597 + 690*v**5 + 158*v**5 - 23*v + 605 + 216*v**5 wrt v.\nAnswer: 21280*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0.3, -0.1, 0.28, 1\/5 in ascending order.\nAnswer: -0.1, 1\/5, 0.28, 0.3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the second derivative of -20*c**7\/231 + 19*c**6\/55 - 29*c**5\/110 - 2*c**4\/11 + 4*c**3\/33 + c. Find u such that i(u) = 0.\nAnswer: -2\/5, 0, 1\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-15)\/(l\/(l**(-2\/11)\/l)))**(-1\/9) assuming l is positive.\nAnswer: l**(21\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1101 is divided by 290.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-62*12\/16)\/((-6)\/32). Let m = -158 + b. What is the highest common factor of 10 and m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 523 a factor of 96827654?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-32)\/144)\/(39\/9). Are -0.06 and y non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 0.3220718ug?\nAnswer: 0.0000000003220718","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -94 - (452\/(-9492) + (-1928)\/84)?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -3*h**4\/7 + 24*h**3\/7 + 2769*h**2\/7 - 5274*h - 12096 = 0.\nAnswer: -32, -2, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 5 + 5*-2*(0 + sqrt(833))*-1*-1)**2.\nAnswer: -700*sqrt(17) + 83325","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 4*c - 3. Let y(o) = -o**3 + 5*o**2 - o - 5. Let t be y(4). Calculate the remainder when 47 is divided by q(t).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 3*w = -15, 2*j - 12 = 2*w - 2. Suppose -3*o - o + 20 = j. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes before 11:23 PM?\nAnswer: 1:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 13080 = 3*j, 5*v - 4*j - 2020 = 11060. Is v a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -14*w**2 - 107*w - 9. Let s be j(-6). Let a = -127 + s. Solve 7 = 2*z - 7*z + a*c, -z - 3*c - 15 = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 33624\/(-4670)*10\/(-12)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1536677568 to the nearest integer?\nAnswer: 1154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 63437 to the power of 1\/2, to the nearest integer?\nAnswer: 252","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 19913 greater than or equal to 20130?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 28 and 76?\nAnswer: 532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -3*a + 49740, 2*a = -83*g + 80*g + 33155. List the prime factors of a.\nAnswer: 2, 8291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 24.9 + -22. Let x = r - 3. Which is the third smallest value? (a) x (b) -3\/2 (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00042172 rounded to 5 dps?\nAnswer: 0.00042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 13531297757 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-180)\/(-315)*(-14)\/4\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 4*l + 14 + 7, 2*a + l = 3. Suppose 0*k = a*k - 9. Solve o + 12 = 3*m, -k*o + o = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -9 or 112?\nAnswer: 112","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 273382 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 202120 or 202122?\nAnswer: 202120","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/1*2*(-2)\/24.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 b, and 1 g when three letters picked without replacement from {e: 3, y: 2, g: 9, b: 5}?\nAnswer: 30\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**3 + 22*b**2 + 38*b - 40. Determine g(-7).\nAnswer: 429","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 + -5 - (4 + 0) - 8.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 724181 and 214847.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + n + 545 = 0, -2*n + n = -3*m - 414. Calculate the least common multiple of 104 and 75\/175 - m\/7.\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 + -2 + (-4 - -3) - -2\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -4*t - 37. Determine i(-11).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/3 (b) -6 (c) 0.5 (d) -0.5 (e) -9\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 103770990*z**2 - 23393490*z wrt z.\nAnswer: 207541980","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**3 + 8*b**2 - 96*b + 35. Is u(24) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4\/(48\/162))\/((-12)\/24). What is the closest to -2.1 in t, 1\/4, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(5\/4)\/(l*l**5))**40 assuming l is positive.\nAnswer: l**(-190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17\/(3468\/255)*(-16)\/10.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43462 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-24)\/936)\/((-8)\/(-72))?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w - 2*i + 3*i + 1, -2*w + i = -1. Suppose 3*d = 4*x + x + 20, w = 5*d + 4*x - 95. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 1627*w**2 + 12*w - 14. What are the prime factors of h(1)?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5 - (1 - (-459)\/(-3)).\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qzp when three letters picked without replacement from {q: 9, z: 1, f: 1, p: 8}.\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -3*p**3 + 2*p**2 + p. Let v be d(-1). Suppose v*s - 4 = 36. Let q = 5 - s. Let b(u) = -u**3 - 4*u**2 + 4*u + 3. Determine b(q).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48372 divided by 417.\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 - 2. Suppose -5*w = 5*o - 2 - r, -5*o = -w - 5. Is 38 + (o - -2)\/3 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -3*w. Let z(h) = -2146157*h. What is l(z(r))?\nAnswer: 6438471*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4\/16)\/(2\/40). Let x(k) be the first derivative of 1\/14*k**4 + n - 2\/7*k**2 + 0*k - 2\/21*k**3. Solve x(t) = 0 for t.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-4)\/70)\/(6\/(-10)). Let q = 1\/2 - 1. Let k = 0.0205 - 3.0205. Which is the nearest to u? (a) 0.2 (b) q (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-914*w**2 - 983*w**2 + 501*w**2)*(-3 - 1 + 3) + (0*w - 4*w + 2*w)*(-w + w + w).\nAnswer: 1394*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -73244 or -133?\nAnswer: -133","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 44 and 1342.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1479.05444 take away 3111?\nAnswer: -1631.94556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, f: 1, w: 1, u: 1, g: 2, y: 1}. Give prob of sequence urr.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 2c (base 16) to base 8\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 70 (base 14) to base 8\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 24 + -19. Solve -35 = -v*m - 5*q, -m + 2*m - 3*q + 9 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 58.37 and 1.49886126085?\nAnswer: 56.87113873915","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(2\/5))**15*(r*r**(2\/9)\/r)**(1\/12) assuming r is positive.\nAnswer: r**(325\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -3*p**3 + 82*p**2 - 44*p + 331. Give o(27).\nAnswer: -128","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + 1 + (3*(-1*sqrt(130) - sqrt(130))*-3)\/(-5*(sqrt(10) - sqrt(40))*-1))*1)**2.\nAnswer: -72*sqrt(13)\/5 + 4312\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 211.8783 millilitres?\nAnswer: 0.2118783","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -4*q - 11. Let o = -3 - q. Suppose 4*f + 0*f = 20. Solve 10 = o*l, 4*l + 0 = f*u + 35 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 134315 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-25)\/6 - -4) + (-15)\/18. Let r be (-9)\/((u - -5)\/4). Put 5, -2, r, 2 in ascending order.\nAnswer: r, -2, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 + 8\/(-10) + (-84)\/(-5). Factor 2*l**3 + 2*l**4 - d*l**2 - 18*l**2 - 22*l**2 - 2*l + 55*l**2.\nAnswer: 2*l*(l - 1)*(l + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 341 is divided by 178?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -3*h + 1. Let x = -18 + 12. Let j = -7 + 43. Calculate the remainder when j is divided by m(x).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 0*z = -5*l - 18, z = -2*l - 7. Let b(i) = z - i**2 + 0 + 6 + 7*i. Let w be b(7). Solve 3*p - w*p = -4 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1231998 and 749?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 2013 (base 5) to base 13\nAnswer: 16b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = h. Suppose 0 = 3*g + 3*f + 3, 0 = 3*g + 2*f - h*f. Let r = 0.07 + -2.07. Which is the smallest value? (a) r (b) -0.4 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v - 9. Let n be x(9). Suppose -2*c + 2*z = -50, n*z - z = 4. Let k = c - 12. Calculate the greatest common factor of 36 and k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 169, 1232, 4069, 9568, 18617, 32104, 50917?\nAnswer: 75944","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16208327?\nAnswer: 17, 953431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3796597 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -94*d**2 - 110*d**2 - 13*d**3 + 179*d**2 + 29 + 9*d. Let c(f) = -15*f**3 - 25*f**2 + 10*f + 30. Let w(z) = -4*c(z) + 5*r(z). Factor w(g).\nAnswer: -5*(g - 1)*(g + 1)*(g + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 8*f - 40 = 0. What is the smallest common multiple of 20 and f?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6122 (base 12) to base 5\nAnswer: -314123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6734715?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0887 rounded to two decimal places?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.03 in 0.4, 5, 6.7213, -3\/2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -33175967, -33175969, -33175971?\nAnswer: -33175973","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together -171901.5 and -3.\nAnswer: -171904.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 162 - 301 = -183*v + 227. Suppose -r + 3 = 0, -b - 2*r = 4*b - 56. What is the least common multiple of v and (12\/b)\/((-12)\/(-800))?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 600*n**2 - 25 - 132*n**2 - 5*n - 8*n - 290*n**2. List the prime factors of r(-2).\nAnswer: 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 940044?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 136*w + 11*w - 16728 = -99*w. Put w, 3, 5 in descending order.\nAnswer: w, 5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(136)\/sqrt(200) + sqrt(17)) - (2 + sqrt(85)\/sqrt(5)*3).\nAnswer: -2 + 9*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 672 is divided by 77.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/732 and 18 - (-1650)\/(-90) - (-362)\/360.\nAnswer: 10980","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1112\/(-8)*(-2 - 599998). Suppose -2*y + g = -5*y. Round y to the nearest 1000000.\nAnswer: -28000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1655 + 1656. Solve 0 = -3*p - 4*s + 5*s + f, 2*s - 10 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, 4, -335, 87, -2.\nAnswer: -335, -2, 4, 21, 87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -11 or -149?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 146026?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3\/(-6))\/((-1)\/2)*5. Suppose 0 = -3*i - 4*m + 223, 4*i - p*i + 71 = -2*m. List the prime factors of i.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:18 AM and 12:08 PM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1403857 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1074, -2147, -3218, -4287?\nAnswer: -5354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 5*l**4 + 965*l**3 + 58725*l**2 + 1459135*l + 12926170 = 0.\nAnswer: -106, -29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 40 - 18. Suppose -11*d - 28*d - 38*d + 1771 = 0. Calculate the remainder when d is divided by y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:09 PM and 3:48 AM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 86384, 168573, 250762, 332951, 415140?\n\"Answer: 82189*r + 4195","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 - -4. Solve 3 = k + t for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (118*n + 52*n + 83*n)*(3 + 1 - 2).\nAnswer: 506*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4388*a**2 - 13460*a**2 + 4357*a**2 + 4481*a**2.\nAnswer: -234*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -4*i. Let d(u) = -u**2 - 6*u + 11. Let c be d(-6). Let t(y) = 7*y - 13*y + c*y. Determine t(z(l)).\nAnswer: -20*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 47679?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r - 3*m + 758525 - 158478, 0 = -m - 1. Suppose -4*k + 9*k - 99975 = -c, 5*k = 3*c - r. What is c rounded to the nearest one hundred thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**3 + 21*d**2 + 16*d - 23. Let c be x(-20). What is the greatest common factor of 19 and c?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (13\/(-11) + (-6)\/(-33))\/(2\/(-2)). What is the highest common factor of f and 1663?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 + -4. Suppose 0 = 4*g - d*c - 132, 0 = -3*c - 7 - 2. What is the greatest common divisor of g and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(-60)\/(-390)*2\/4?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -4 - 2*(-12)\/8. Let p = b + 1. Factor 2*y**2 + 4\/3*y + p.\nAnswer: 2*y*(3*y + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -2*3\/8*-12 is divided by 9.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a millennium in months?\nAnswer: 720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 81 divide 320112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -32, -54, -78, -104?\nAnswer: -132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 50185710 and 540.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*r = 36 - 100. Let b(m) = -2*m**3 - 10*m**2 - 17*m + 2*m**3 + 1 - m**3. Let t be b(r). Solve -8*o = -5*o - t for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 342 + -339.06. Let i = 0.06 + b. Let r(g) = -18*g + 392. Let h be r(22). What is the biggest value in -2, h, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 3 = -5*q, 3*k + 12 = -3*q. Let l be -50 - ((0 - -1) + k). Let w = -31 - l. Does 17 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 37814.96mm to kilometers.\nAnswer: 0.03781496","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 96 - 114. Let u be (-5)\/40*d - (-2)\/(-8). Solve u*h - 5*h = 4*c - 23, -2*h = c - 7 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 + 4. Let t(y) = y**2 - 6*y - 4. Let m be t(5). What is the common denominator of -2 + (-98)\/m + g and 121\/10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3169 + -1803?\nAnswer: -4970","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = d. Suppose -16 = -0*p - 2*p + 5*u, 2*p - 3*u - 12 = 0. Suppose 0 = g - l + 1 + p, 2*l = -3*g - 12. Sort g, d, 4.\nAnswer: g, d, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(833) - (1 + sqrt(833))**2) + 3*(sqrt(833) - (sqrt(833) - (0 + sqrt(833)))).\nAnswer: -5004 - 21*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -34 + 169?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-23)\/23*2\/(-6))\/((336\/306)\/(-28))\nAnswer: -17\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -89.59 + 89. Let n = -6.35 + 7. Let v = o - n. Round v to 1 dp.\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m = 5*d - 23 - 44, 0*d - 5*d + 40 = -10*m + 5*m for d.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 21531 (base 6) in base 10?\nAnswer: 3007","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.1239 * -1\nAnswer: -0.1239","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*h**2 - 45*h**6 + 771*h**5 - 771*h**5 + 6*h**6 wrt h.\nAnswer: -4680*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*a - a + 24 = -64. Let b(w) = 2*w**2 - 14*w + 39. Calculate the remainder when b(6) is divided by a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -9 (b) 0 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -1299\nAnswer: -4\/1299","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n = -4*t - 22, n - 3*n + 2 = -2*t for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v**(-2\/5)\/v))\/v*v\/((v\/(v\/((v\/(v\/v**(-2\/5)))\/v*v)*v)*v)\/v)*v*v**(5\/3)*v*v*v*v**(-2) assuming v is positive.\nAnswer: v**(112\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 327 + -341. What is the third smallest value in r, 8, -3, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of (4\/3)\/((-1)\/(-48))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -2*p - p + 15 + 5*p. Let w be 14 - (-168)\/(-11 - -4). Give u(w).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -35890*m**5 + m**2 + 347601*m?\nAnswer: -717800*m**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o - 12. Let x(l) = 2*l + 13. Let t(y) = -3*w(y) - 2*x(y). Let i be t(5). Suppose -q = 0, -37 = -g + q - i*q. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 equal to -1\/12704?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1\/5, -2, -10, 167\/6, 0.13?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 163*10\/(-760) + 6*(-24)\/(-64)\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -8*q**5 - 60*q**4 + 284*q**3 - 268*q**2 - 36*q + 88 = 0.\nAnswer: -11, -1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14025092 by -5.\nAnswer: 14025092\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.432 + -0.068. Which is the closest to j? (a) 1 (b) 1\/3 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22772863 is divided by 7590908.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -1086*y + 3. Let o(v) be the third derivative of v**5\/60 - 4768*v**2. Calculate c(o(u)).\nAnswer: -1086*u**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 3*q**2 + 78*q + 321. Calculate v(-21).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8202454?\nAnswer: 2, 13, 389, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -519.753 + 0.753. Let b = 518.9948 + w. Round b to 4 decimal places.\nAnswer: -0.0052","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/p**(2\/47))\/p)**(7\/6)\/(p**43)**(-11))**30 assuming p is positive.\nAnswer: p**(666860\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11319108 and 4372.\nAnswer: 11319108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wa when two letters picked without replacement from qbbagqbqwqibiwbbq?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9 + 23. What is the smallest common multiple of 4 and g?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g**3 + 8*g**3 + 4*g**3)*((-1 + 2 - 3)*(-23*g + 28*g - 2 - 27*g) - 2*g + 4*g + g + 1 - 2*g - 1 - 4*g + 6*g - 3*g + (3*g - g + 0*g)*(1 + 5 - 5)).\nAnswer: 414*g**4 + 36*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nubbaxabyxxyuxbxayx. Give prob of picking 2 n.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (6\/(-4))\/(3\/8). Let u(g) = g**2 - 11*g + 16. Let q(v) = -v**2 + 7*v + 9. Let b be q(7). Let r be u(b). Put r, x, 0 in descending order.\nAnswer: 0, r, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 236676*-3.\nAnswer: -710028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t + 3*t - 4*t)*(4 - 5 + 7) + 59*t - 25*t + 43*t + 0*t - 2 + 4 - t + 3*t - t - 3*t - 2.\nAnswer: 69*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 336 + -330. What is the third smallest value in q, 4, -6?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1015 + 7c?\nAnswer: -c66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes before 9:52 AM?\nAnswer: 4:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4088701 (b) -1.2 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4607634 = 100*h + 607234. What is the thousands digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -u**2 + 7*u**2 - 3*u**2 - 2*u**2 + u**3 - 2 in the form m*u + k*u**3 + q*u**2 + l and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (6039\/(-1342))\/((-3)\/6 - (0 - 1))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.4468968474 - 1.4469. What is i rounded to 7 dps?\nAnswer: -0.0000032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(14) - (sqrt(504) - -2*sqrt(504)))\/(sqrt(18)\/sqrt(9)*3).\nAnswer: -68*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -13333 + -584?\nAnswer: -14027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -119\/4 + 89\/3. Let l = -2.25 + 2.65. Put l, -10.1, h in increasing order.\nAnswer: -10.1, h, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -411 - 281 = 29*q - 257. Let l(z) = -z - 6. What is l(q)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**2. Let x(z) = -1303149*z**2. Determine x(b(y)).\nAnswer: -1303149*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1316759 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = 2*v + 21, 2*v + 3*w + 10 = -1. Solve v*x + 7 = x + 2*p, -x - 4*p - 1 = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 17513862?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -199.196169 + 2.204469. Let f = -197 - u. What is f rounded to 3 decimal places?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 15 (b) -9 (c) 1\/41 (d) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-23)\/(-2)*(-31 - -19). Let q = d + 119. Is -23 greater than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**2\/5 - 837*r\/5 + 6888\/5.\nAnswer: -3*(r - 8)*(r + 287)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1*(-5)\/(-20))\/(2\/((-6)\/(-21)))?\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20 + 17 + i**2 + 0*i**2.\nAnswer: i**2 + 37","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(1573) + -2 + sqrt(1573))**2.\nAnswer: 132*sqrt(13) + 6301","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*f - i + 116 = -9, -f - 4*i = -3*i - 23 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -2*k**2 - 10*k + 8. Give j(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -187.2 + 187.2. Which is the nearest to p? (a) 0.3 (b) 2 (c) 0 (d) -33\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/10466 less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 3*d + 5. Determine l(-8).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g = 4*g - 40. Solve g*r = 1 + 15 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 - -27. Suppose 0 = 2*n + p + 1. Let y be 2 - 2 - 1*n. Solve 3*j - y = -2*l + 5, -6 = -3*l + 2*j for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -4*n - 107310, 4*h - 17*n - 214632 = -15*n. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10 + 0*i - 2*i + 4 - i**2 - 14 + 5*i**3 to y*i**3 + h + z*i**2 + g*i and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 81265265 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**3 - n. Let p(m) = -3*m**3 - 3*m**2 + 3*m + 2. Determine -4*c(f) - p(f).\nAnswer: -f**3 + 3*f**2 + f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from coooooooccooccoo.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -134853 take away -1.006?\nAnswer: -134851.994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69*v + 67 + 2045 = -1545. What is the greatest common factor of v and 9169?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2\/4)\/((-3)\/(-24)). Let j = 10 - 10. Solve u*b - 2 = -3*a + 5*a, -a + 3 = j for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7570600417 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3861*b**2*k**2*n - b**2*n + b*k**2*n + 9*k**2*n - 232*k*n wrt b.\nAnswer: 7722*k**2*n - 2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 513737 is divided by 28519.\nAnswer: 395","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13, -59, -133, -235, -365?\nAnswer: -523","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.9 - -394776184?\nAnswer: 394776188.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -57*c + 4. Let n(g) = -8*g**3. Let u be n(1). Let j be f(u). What is j rounded to the nearest one hundred?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uupkuukk. Give prob of sequence kpuk.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 25 + 8*d**2 + 19 - 27 - 25*d. Let p(s) = -2*s**2 + 6*s - 4. Let c(u) = 2*o(u) + 9*p(u). Suppose c(r) = 0. Calculate r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**3 - 67*o**2 + 87*o + 66. Calculate the smallest common multiple of 36 and n(66).\nAnswer: 4356","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in 2\/5, -10, 11?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(-5\/6)*b*b**(-6)*b**7\/(b*(b**(1\/11)*b)\/b*b))**(-6\/11))**(-2\/9) assuming b is positive.\nAnswer: b**(10\/1089)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 2\/289, 17\/4, 3?\nAnswer: 2\/289","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 353969.\nAnswer: 7, 11, 4597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z**2 + z**2 + 0*z**2)*(-30*z + 28*z - 55*z**2 + 95*z**2).\nAnswer: 80*z**4 - 4*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of -15012.4554 and 1.\nAnswer: -15012.4554","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 + -4. Let b(w) = -w**3 + 4*w**2 - 2*w - 2. Let s be b(-3). Suppose 0 = -x - 2*x - c + s, 0 = m*x + c - 43. Is 10 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 79630 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(2\/5))**(-24\/5))**(1\/6) assuming u is positive.\nAnswer: u**(-8\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 563 - 566. What is the closest to -28 in 2\/5, t, -2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9644940 and 95400.\nAnswer: 96449400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 119914*z - 119890*z = 936 for z.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000285180206 rounded to 5 decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 99 is divided by 9?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:08 AM and 7:08 AM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t + l - 4 + 14, 2*t = l + 3. Let y be (-11 - -14)\/(t\/3). Let s(m) = 2*m**2 + 12*m - 3. Calculate the remainder when s(y) is divided by 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1261\/60 + 26\/15. Calculate the common denominator of 398\/24 + -3 + -2 and p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -105781 (base 11) in base 8?\nAnswer: -511302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -414 - 1?\nAnswer: -415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -1351.3 to the nearest one hundred.\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1240251209 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -2*j. Let g be k(-2). Suppose -g*t = -131 - 109. Does 30 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 949, 952, 953, 952, 949?\n\"Answer: -k**2 + 6*k + 944","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1020010 + 211012?\nAnswer: -101221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the second derivative of 0*m**3 + 0*m**2 - m - 1\/10*m**5 + 0 - 1\/4*m**4. Find the third derivative of n(q) wrt q.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 81232491 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2249 - -2310. Calculate the remainder when 10977 is divided by k.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14, 75, 242, 569, 1110, 1919?\nAnswer: 3050","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -51339796*k**2*t**3 - 1688207*k*t**3 - t**3 wrt k?\nAnswer: -102679592*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*y**5 - 2*y**5 + 3*y**5 + (-2*y**3 + y**3 + 2*y**3)*(-3*y**2 - 2*y**2 + 3*y**2) + (-2*y**5 - y**5 - y**5)*(-14 - 4 + 8).\nAnswer: 37*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-75)\/(-5))\/3*(-18)\/(-30)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*u - 7*u + 2. Suppose -2*r = 3*t - 5 + 2, -u*t = r - 1. Solve -z = r*z + 4 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2 + -17)\/(6\/(-4)). Find the common denominator of (3 + 4\/(-2))*533\/(-143) and 1\/q*-47 - -3.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in four thirds of a century?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 28*l**5 + 52424*l**4 - 673516*l**3 - 4633256*l**2 - 6967824*l - 1628640 = 0.\nAnswer: -1885, -3, -2, -2\/7, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 at most 15036\/2239?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -22*x**3 + 17*x**2 + 15*x - 5. Is f(-12) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-12\/7)*k*k*(k\/(k**14*k))\/k assuming k is positive.\nAnswer: k**(-103\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -5*n**5 - 950965*n**4 - 11411100*n**3 - 45643840*n**2 - 76072640*n - 45643440 = 0.\nAnswer: -190181, -6, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.3 - -11.7. Let r = q - 18. What is the second smallest value in r, 0, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 101 a factor of 40467?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -114 + 103.1. Let r = -1160415952.90000142 + 1160415942. Let f = r - m. Round f to seven dps.\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**2 + z + 8. Determine y(0).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.954 - -0.046. Let f = -4 - -12. Is f greater than or equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0\/4)\/(((-36)\/4)\/3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 607840663 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -1\/3, 753, 1\/4, 3 in increasing order.\nAnswer: -3, -1\/3, 1\/4, 3, 753","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -a - 4e6279?\nAnswer: -4e6284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1842 - 334*w + 1842 to the form u + o*w and give o.\nAnswer: -334","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2057176 is divided by 158235?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 47 + -57. Let q(k) = k**2 + 9*k + 12. Let r be q(w). Solve -4*s - s = -3*h - r, -s + 4 = -h for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 28 and 308.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the first derivative of 19 + 1\/2*y**2 - 2*y + 8\/3*y**3. What is the remainder when 15 is divided by j(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 8*x**2. Let b(a) = -875138*a. Determine h(b(i)).\nAnswer: 6126932152352*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 39080539?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1010 + -774. What is the greatest common divisor of 4 and l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -57.074 - -57. Let g = 60 + -63.226. Let r = w + g. Round r to 1 dp.\nAnswer: -3.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-1\/16)\/k)\/k**(-9))**(-29) assuming k is positive.\nAnswer: k**(-3683\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i - 12, -45 = -5*j + i + 21. Which is the second smallest value? (a) 0 (b) j (c) -39\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 37415 and 28?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (((-35)\/(-5))\/7)\/((-2)\/(464\/24))\nAnswer: -29\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 11682 < 11684?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*m = 3*m - 970. Let g = 99 + m. Let h = 30 - g. What is the greatest common factor of h and 70?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve q = 90*d - 100*d - 3, -5*q + 3*d = 68 for q.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31 is divided by 9.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 72382 - 72371. Let l = -2 - -4. Solve b*m - l*m = -9 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 129047 (b) -1.7 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-7) + (-1 - (-87)\/63)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) - (-1 + sqrt(65)\/sqrt(5))) + 1*sqrt(468).\nAnswer: 1 + 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2*(-3)\/2 + 9516. Suppose -18*q = -20205 - v. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*r - 270 = 2*r. Suppose 2*m + 2 = 0, -2*b + 35 = b - 5*m. What is the lowest common multiple of r and b?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 196.22745 - -0.32855. Round g to the nearest integer.\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-345)\/10*(779\/(-114))\/41?\nAnswer: 23\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = -4*v - 18. Suppose 3*x = 2*d - 9, 5*d - 4*x + 2 = 7. Put v, d, 255 in ascending order.\nAnswer: d, v, 255","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13397 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -24 * -1.582819\nAnswer: 37.987656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -86 + 65 - (-76 + 1 + -9)?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(104) + 2*sqrt(104))\/sqrt(8)*-1 + sqrt(52)\/(4*sqrt(4))*6).\nAnswer: 15*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*k - 1 - 1 + 7)*(2*k - 4 + 4)*(-10*k**2 - 3*k**2 + k**2) in the form h*k + i*k**2 + n*k**4 + q + c*k**3 and give n.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-124)\/(-310))\/(2\/12).\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -5\/4, -0.035, 0.3, -28?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0*p + 5 - 3*p)*(-2*p + 2*p - 2*p**4).\nAnswer: 6*p**5 - 4*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -9*z + 15. Let f(p) = 5*p - 8. Let q(j) = 4*d(j) + 7*f(j). Let x be q(0). Let b(w) = w**2 - 4*w - 2. Calculate b(x).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 57\/(-95)*(-4)\/(-6). What is the closest to -1 in y, 2\/25, -3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**3 - 4*d**2 - 3*d - 4. Let b be w(-3). Let j(f) = 64*f + 111. Let z(x) = 15*x + 26. Let o(n) = -j(n) + 4*z(n). Calculate o(b).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1272058742.4 + 2.0202.\nAnswer: -1272058740.3798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -192799 and 67.\nAnswer: -12917533","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.2, 1\/2, 14?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1016.\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -46, -375, -1278, -3043, -5958, -10311, -16390, -24483?\n\"Answer: -48*r**3 + r**2 + 4*r - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 43178035?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 63 by -7.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1314*0.17918.\nAnswer: 235.44252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2\/211 - 850\/633. Let i = -16 + 9. Let t be ((-3)\/4)\/(i\/4). What is the closest to -1\/4 in t, 3, p?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 3 (b) 4 (c) 27809 (d) 2 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((12\/(-3))\/12)\/5. Which is smaller: 1 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -416236, -416235, -416234, -416233, -416232, -416231?\n\"Answer: y - 416237","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 56 - 15 - 18*l - 3*l - 12*l wrt l?\nAnswer: -33","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -x**5\/5 + x**3\/5 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 26*l**6 + 10*l**5 - 13*l**2 - 8*l + 14 wrt l?\nAnswer: 3120*l**3 + 600*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1126959 and 2832.\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -2*l**3 + 62008*l**2 - 1177586*l + 4833660 = 0.\nAnswer: 6, 13, 30985","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 16886 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**3 + 4*o**2 + 28036*o - 140151. What is y(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 334917825?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 z when two letters picked without replacement from {c: 3, q: 1, s: 3, z: 7}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**2 - 10*o - 22. Let s be z(12). Suppose 12 = s*g + 5*v, 5*g - 4 - 80 = v. Suppose 0 = -g*a - 2036 + 8676. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2079579 divided by -693193?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 7) to base 12.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -35676*c**5*m**2 - 605*c**2*m**2 - 26*c*m**2 wrt c?\nAnswer: -2140560*c**2*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14 - 6. Suppose -3*s - 36 = s. Let j = s + 49. Calculate the greatest common divisor of r and j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 571200000 rounded to the nearest one million?\nAnswer: 571000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.2 and -0.1188.\nAnswer: -0.3188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 694.799nm?\nAnswer: 0.000000000694799","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 3*m**2 - 7*m + 13. Is u(-4) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**2 + 107*y + 778. Give m(-8).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 3*w - 25 = 0. Let j be 2\/w - 4\/(-10). Which is the third smallest value? (a) j (b) -2 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 1134*j**4 - 1314*j**3 + 92*j**2 + 104*j - 16 = 0. What is j?\nAnswer: -2\/7, 2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:25 PM and 12:23 AM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 180 and 41148780.\nAnswer: 123446340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21)\/28*-8*8\/36*-12.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -418, -424, -440, -472, -526?\n\"Answer: -t**3 + t**2 - 2*t - 416","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, -1230.9, -6, -0.027 in descending order.\nAnswer: 2\/9, -0.027, -6, -1230.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from mmmm.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -68020 + 109650. What is u rounded to the nearest one thousand?\nAnswer: 42000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = -4*s + 21. Suppose 15 = n - 3*p + p, 5*n - 3*p = 61. Let u = s - n. Calculate the highest common divisor of 22 and u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (90\/12 + -3)\/((-52)\/((-9568)\/345)).\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43864?\nAnswer: 2, 5483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -28478445, -56956908, -85435369, -113913828?\nAnswer: -142392285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(72)\/sqrt(6))\/sqrt(4) - ((sqrt(132)\/sqrt(4))\/sqrt(11) - sqrt(3) - sqrt(3))).\nAnswer: 12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -42547\/2 + 21972. Let n = j - 736. What is the common denominator of -31\/2 and n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:39 AM and 6:10 PM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 985 + -985.9. Sort 3\/5, 0.22, f in decreasing order.\nAnswer: 3\/5, 0.22, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let g = 3735 - 2633. Let w = g - 664. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 12 = 0, -8*s = -7*s - 5*g + 10. Solve -4*z - 4 + 1 = 3*j, -s = -3*z + 5*j for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from {m: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-378)\/28*4\/6.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wccvecwwdwcc. Give prob of sequence wcc.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 - 2. Let t be (1 - 1)*(10 + 435\/(-45)). What is the biggest value in t, 1, k?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1929, 3887, 5847, 7809?\nAnswer: 9773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -17\/10 - -139\/70. Let h = -12\/91 + c. Let t = -76.4 - -76. What is the biggest value in t, h, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -60, 5, 4, 0.1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 109222748, 109222746, 109222744, 109222742?\nAnswer: 109222740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((6*sqrt(32) + sqrt(2))*4)**2 - (sqrt(12)\/(sqrt(66)\/(sqrt(11) - sqrt(704)) + sqrt(6)) + 2).\nAnswer: -7*sqrt(2)\/6 + 19998","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 17d71b (base 15) to base 3\nAnswer: 2011220011022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.436 + -0.064. Is j at most as big as 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 42\/(-35)*-5 - (-507)\/39.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:36 AM and 7:01 AM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 5*g = -600, -3*g = -4*u - 6*g + 452. List the prime factors of u.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 + -2 + 12\/5. Suppose 0 = 2*b - 7*b - 5. Is o > b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 21.7 + -22.172. Let w = 5.212 + x. What is w rounded to 1 decimal place?\nAnswer: 4.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(((-4*2*sqrt(85) + sqrt(85))\/sqrt(5))**2 + -2 + (sqrt(68) - sqrt(68)*-2*3 - sqrt(68))\/(-4*sqrt(36)))*-2.\nAnswer: -8310 + 5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q**(1\/4)\/q))\/q)**(-7\/2)\/(q**(2\/3)\/q*q*q)**14 assuming q is positive.\nAnswer: q**(-623\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 71 - 29 = 0. Suppose 4*t + 0 = c. Suppose -4*d + 3*d + 4*a + 12 = 0, -5*d + t*a + 45 = 0. Calculate the lowest common multiple of d and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 0*d - 61 = t, -2*t + 98 = 5*d. Solve -5*c - d = 5*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3238 >= -3236?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -815 - -821. Solve -3*b = -4*c - 6, k = -c - 2*c + 3*b for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 116127 is divided by 56936?\nAnswer: 2255","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 52 - 42 = 0. Let d(y) = -4*y + 3*y + a*y + 4 + 2*y. Determine d(-5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 - 17 = -3*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -15*r**3 + 6*r**2 - 10*r + 3. What is j(1)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-1\/5)*u*u**(2\/7))\/(u\/(u**(-9\/5)\/u)*u*u\/(u*u**(-1\/4)*u)))**(-23) assuming u is positive.\nAnswer: u**(1909\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -3, -46, -89, -132, -175?\n\"Answer: -43*x + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*i - 4*i = -126 for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*r - r + r)*(2 - 2 + 2 + (1 + 3 - 2)*(2 - 5 + 2) + 6 - 2 - 3)*(-4 + 1 + 1)*(-5 + 0 + 0).\nAnswer: 50*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -13*d. Let h(p) = 2*p. Let x(b) = -2*b. Let k(y) = -5*h(y) - 4*x(y). Determine c(k(i)).\nAnswer: 26*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 42 + -174. Let a = -67 - c. Suppose -2*v = -3*v + 13. What is the highest common divisor of v and a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 232184 - 4?\nAnswer: 232180","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the second derivative of -g**7\/42 + 289*g**5\/20 + 46*g**4 + 230*g. What is the third derivative of d(v) wrt v?\nAnswer: -60*v**2 + 1734","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 9*g + 59. Let t be (6\/(-4))\/(g\/12). Solve v = -t*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/4)\/((-936)\/832)*30.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 356828, 356850, 356878, 356912, 356952, 356998, 357050?\n\"Answer: 3*s**2 + 13*s + 356812","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1544 is divided by 60?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -3\/2, 2, 18, 0.\nAnswer: -9, -3\/2, 0, 2, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 (base 7) in base 14?\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum -3150 and -4.\nAnswer: -3154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1388, -1400, -1424, -1460, -1508?\nAnswer: -1568","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -15 - -1?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 34239979 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 56*a**2. Let c(q) = -q. Let i be (-18)\/(-30) + 4\/10. Let k(g) = 4*g. Let v(l) = i*k(l) + 6*c(l). What is z(v(b))?\nAnswer: 224*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 574*k - 374*k - 1 + 1 as a*k + r and give a.\nAnswer: 200","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101111111 - -100100110000111?\nAnswer: 100100000001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 491 is divided by 62.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1659476 by 388.\nAnswer: -4277","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -293505 by 10.\nAnswer: -58701\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*h - 34*h - 732 = 0. What is the remainder when h is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 90 = -14*v. Solve -3*j - r - v = -j, 3*r + 15 = -3*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -5*m, 0 = -v + 5*v - 3*m - 238. What are the prime factors of v?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -121*o + 1029 = -597 - 189 for o.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -7265, -7288, -7307, -7322, -7333, -7340, -7343?\n\"Answer: 2*r**2 - 29*r - 7238","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -395 = -2*i - 3*i. Suppose 0 = 4*x + 5*c + 77, 42 = -5*x + 2*c - i. Let p = -6 - x. Calculate the remainder when p is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**2 + 2*z - 3. Let v be m(-4). What is the second smallest value in 0.1, v, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23713 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: Is 316457046 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes before 7:19 PM?\nAnswer: 12:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 e when two letters picked without replacement from {x: 1, t: 5, c: 2, e: 3, g: 1}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -d + 16. Suppose -j + 2*k + 92 = 0, -5*k = 4*j - d*k - 408. Calculate the remainder when j is divided by 21.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -489167 and -489154 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1996456.\nAnswer: 2, 7, 11, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/2*(-11 - 27). Suppose -c + 6 = -u. Solve -2 = -5*b + u for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 20 = 2*k, -3*o + 0*k = k + 11. Let g(c) = -14*c - 1. What are the prime factors of g(o)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 32 and 308516304?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 32 in -4, -3\/7, 7, 919?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 299 = -2868*v + 2845*v for v.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44 is divided by 27?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 - 47. Let n = g - -38. Does 2 divide ((-16)\/10 + n)*-10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.1 + -355.9. Let u = 353.68 + y. Round u to one decimal place.\nAnswer: -3.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 9)*(-1 + 24 - 12)*(2*r + 0*r - 3*r).\nAnswer: 99*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2186456 is divided by 6230?\nAnswer: 5956","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1092402, -2184576, -3276748, -4368918, -5461086, -6553252?\nAnswer: -7645416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/11, 2, -4938 in ascending order.\nAnswer: -4938, 2\/11, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 + 3038714?\nAnswer: 3038716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the third derivative of -l**9\/1680 + l**8\/400 - l**7\/700 - 71*l**3\/2 + 125*l**2. Let i(r) be the first derivative of p(r). Solve i(u) = 0 for u.\nAnswer: 0, 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -4*h - 17, -5 = 2*h + s - 4. Put h, -4, -16, 3 in decreasing order.\nAnswer: 3, h, -4, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s = -4*q - 6, -q + 2*s = -0*s + 4 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -310, 17, -13?\nAnswer: -310","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 18*s**2. Determine i(-1).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*s + 27 = -75. What is the nearest to -0.156 in 0.5, 2, s?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nqqjy. What is prob of picking 2 q, 1 j, and 1 y?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26962633?\nAnswer: 83, 563, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + p = -3. Let a(t) = -t**2 - 34*t - 258. Let j be a(-23). Do p and j have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((0\/(-299))\/(1*(-1)\/1))\/2. What is g in b + 6\/7*g**2 + 0*g - 2\/7*g**3 = 0?\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -4*y. Let c = 23 - 8. Let g = -3 + 6. Suppose 3*l + 3*s + 3 = c, 0 = l + g*s - 10. Give o(l).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-7)\/(i**(-5)\/i*i))\/(i**(-2\/3))**(-23))**(2\/13) assuming i is positive.\nAnswer: i**(-8\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 50 = 5*h, 46 = -5*v + 7*h - 3*h. Let i be (1 + 2\/10)\/(v\/(-20)). Let n = 7.12 + -0.12. Put 0.4, i, n, -5 in descending order.\nAnswer: n, i, 0.4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 t when four letters picked without replacement from {q: 1, t: 14}?\nAnswer: 11\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -947 = -72*n + 709 for n.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 382950 - -3?\nAnswer: 382953","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i*(i**(2\/9)*i)\/i))**(-1\/9) assuming i is positive.\nAnswer: i**(2\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2*(2\/(-4) - -2). Suppose -12 = l*k - 4*k. Solve k = -2*g - 2*s, 4*g + 7 = 5*s + 1 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*l - 4*l + 132 - 132 - 5*l.\nAnswer: -9*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l + 2*l - 3*l)*((3 - 1 - 4)*(1 - 3 + 1) + 3 - 3 + 2).\nAnswer: -4*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-11))**(-2\/93)*l\/((l**(-16)\/l*l)\/l)*l**(-1\/43) assuming l is positive.\nAnswer: l**(72835\/3999)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -10*s**2 - s. Let u(x) = 21*x**2 + 2*x. Let q(l) = 5*a(l) + 3*u(l). List the prime factors of q(-1).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 3554121, 7108251, 10662381, 14216511, 17770641, 21324771?\n\"Answer: 3554130*u - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x + 3*h - 106, 0 = 3*x + 2*x + h - 239. What is the tens digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 - -9. Let f = 378 - 375. Suppose 0 = -3*o + l*r + 6 - 2, 3*o = f*r + 9. Calculate the greatest common factor of 40 and o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 4726 = 3*f, -i - 8 + 13 = 0. What is the hundreds digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/((-2)\/9)*(-3)\/9?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000027 rounded to five dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - b = -12. Let h be 10*((-10)\/b)\/5. Suppose 3*f + f = -4*u - 8, 3*u + 5*f = -12. What is the highest common divisor of u and h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8012208ml to litres.\nAnswer: 0.0008012208","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, g: 1, h: 4, u: 1, n: 1}. Give prob of picking 3 h.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.4? (a) 5 (b) 1 (c) -1345432 (d) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1332636*n**2 + 1658273*n?\nAnswer: -2665272","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 29952 and 672?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(2*(sqrt(1300) - sqrt(1300)*-1))**2.\nAnswer: 62400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y**4 + 7850*y**3 + 9553115*y**2 + 2258853760*y = 0. What is y?\nAnswer: -431, 0, 2432","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**2 + h + 3. Let a be z(3). Let i be (-1)\/(-4) - a\/(-12). Suppose 2*c + 5*k - 57 = 0, i*k + 32 = c - k. Is 13 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -4 (b) 4.6 (c) -2\/7 (d) 5 (e) 1 (f) 1.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 123 = w + 3*g, -8 = 4*g. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**2 + c. Let p(v) = -11*v**2 - 7*v - 2. Let r(l) = -p(l) - 6*u(l). Let i be r(3). Calculate the greatest common divisor of i and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -8*p**2 - 17*p + 155. Calculate r(6).\nAnswer: -235","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 140042401 - -40?\nAnswer: 140042441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.061433745 and -0.15.\nAnswer: -0.088566255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 25*x - 146*x - 37*x - 71*x - 5 - 21*x in the form q*x + t and give q.\nAnswer: -250","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.1206 + 0.125132. What is q rounded to 3 decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 208890 and 215622.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 466435.\nAnswer: 5, 93287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*b**2*p**3*t**2 - 69*b**2*p*t**2 + 5*b**2 + 76*b*t + b + 8*p**3*t**2 + p**3*t - 4*t**2 wrt b?\nAnswer: -4*p**3*t**2 - 138*p*t**2 + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -151 divided by -10\nAnswer: 151\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 2*t - 4. Let l be n(3). Solve 10 = -l*b - 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, 0.3, -0.19?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-30 + 194 + 1)*(-3*a + 2*a + 2*a).\nAnswer: 165*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2043*w + 140066 - 495548. Let k = 15 - 40. What is the remainder when w is divided by (k\/2)\/(-1)*2?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**3 + 15*u**2 - 26*u + 4. Suppose -14 = -x - p, 2*x - 3*p + 0*p - 23 = 0. Let y be o(x). Solve y*j - 5 = -j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 132, -0.1, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 7*v - 63. Let h be s(9). Differentiate -5 - 2 - 4 + 48*j**2 + h with respect to j.\nAnswer: 96*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 13, -4, -3, 0.\nAnswer: -4, -3, 0, 11, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - p = 4. Let y = 29168 - 29169. Which is the nearest to y? (a) -0.01 (b) p (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kx when two letters picked without replacement from {y: 2, j: 2, x: 1, k: 1, b: 4, p: 4}.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 80, 368, 836, 1472, 2264?\nAnswer: 3200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -11, -9, 1.5 in decreasing order.\nAnswer: 1.5, 0.4, -9, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*t - 2*t - 165 = 14*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 170 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -4731, -9306, -13715, -17952, -22011, -25886, -29571, -33060?\n\"Answer: c**3 + 77*c**2 - 4813*c + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -24.717 to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1665 and 1070640.\nAnswer: 39613680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -19.9 and -3.1?\nAnswer: 61.69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2 (b) -3 (c) -0.2 (d) 3\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8511667 divided by 4.\nAnswer: -8511667\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-476)\/170 - 24\/20.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/7 - (2 - (-795)\/(-35)). Find the common denominator of (-3 + 27\/6)\/(9\/m) and 99\/70.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-74699996 - 1) + (-52 - -49). Round d to the nearest one million.\nAnswer: -75000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**2 + 14*j + 219. Give r(19).\nAnswer: 846","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 130507359?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2192*j + 2008*j. Solve -2\/5*h**2 + 4\/5*h + j = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the second derivative of -d**3 + 11*d**2\/2 + 11*d. What is the remainder when k(-6) is divided by 13?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -20386\/11 - -1849. What is the common denominator of o and 63\/((1 - (-3)\/(-15))*-5)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -79, -169, -245, -301, -331, -329, -289, -205?\n\"Answer: t**3 + t**2 - 100*t + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -8 + -2 + 120\/10. Solve -8*n = -5*n + 5*k + 6, i*n + 5*k = -4 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14 + -10. Calculate the remainder when 66\/((-20)\/6 + i) is divided by 25.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/3, 3\/2, 224, -4, 2\/11.\nAnswer: -4, 2\/11, 3\/2, 5\/3, 224","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/(-28))\/(-33*92\/3542)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5322 is divided by 31?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -5*m + 49. Let v(w) = -3*w + 24. Let t(z) = -2*f(z) + 5*v(z). Let d be t(4). Solve d*k - 3*u - 4 = 0, k + 0 + 1 = 3*u for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the first derivative of -r**3\/3 + 3*r**2 - 9*r + 18. Determine f so that j(f) = 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 18 = 3*f, -3*r + r + 5*f = -5. Suppose -10 = -3*b + 2*c, 5 + 3 = -b - r*c. What is the greatest common factor of 20 and b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 5\/2, 219, -415?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**2 - 23*g - 22. Suppose 0*a - 111 = -a. What is the remainder when a is divided by z(25)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-25)\/(-10) + -4)\/(3*-4)\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -144 = 8*d - 0. Does 27 divide (-1216)\/(-7) + d\/(-14) + -1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -14 + 3422*r + 116 - 3417*r - r**2. Give c(-8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 3*f - 3*f + 1 + 3*f + f. Calculate the remainder when k(4) is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-40)\/(-3))\/(-2)*3. Let h be 63\/18*w\/(-7). Calculate the highest common factor of h and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5449 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 5100, 15461, 32728, 56901, 87980, 125965, 170856?\n\"Answer: 3453*d**2 + 2*d + 1645","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -27024 > -216183\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 731177 to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 38 and 8912558?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/(-4)*86\/(-43). Solve m*d = d - 0*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 10*r**4 - 9346984*r**3 + 1125268392*r**2 - 34093419840*r + 13457923200 = 0.\nAnswer: 2\/5, 60, 934578","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -1 + sqrt(13) - (-3 + -2 + sqrt(13)))**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 3*m - 11. Let z(g) = g**3 - 31*g**2 + 55*g + 92. Let v be z(29). Let k be u(v). Put 2, k, -6 in ascending order.\nAnswer: -6, 2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 2*z**2 + 5*z + 3. Let d be s(-3). Suppose -10 = d*t - 46. Is ((-39)\/(-2))\/(t\/8) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 142 - 139. Let z(p) = -14*p**2 - 6*p + 19. Let k be z(l). Let w = k - -285. Is w a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 168*t - 2 - 170*t.\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*y + 43*y + 70 = -10 for y.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g - 11 = -2*v + 3*v, -5*g = -v + 29 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2811, -0.2, 0.3, -2\/391, 2.\nAnswer: -2811, -0.2, -2\/391, 0.3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2101315245 less than 12?\nAnswer: -2101315233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c - 11 - 2 = -t, -4*c + 18 = 2*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/11, 21\/5, 19, -1\/5, -0.3 in increasing order.\nAnswer: -0.3, -1\/5, 2\/11, 21\/5, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 24 and 548?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = 4*x - 46, 9*x + 24*c = 29*c + 136. Let m(o) = -o**3 + 12*o**2 + 28*o - 3. Determine m(x).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 28 divided by 47\nAnswer: 28\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 21, 229, 449, 687, 949, 1241, 1569?\n\"Answer: x**3 + 201*x - 181","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i*i**(-2\/13)*i*i**(-10\/11))\/((i**(-5)*i)\/i*i)**(-1\/68) assuming i is positive.\nAnswer: i**(4566\/2431)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*f - 15*f = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 2 - 1)*(36*m - 15*m - 38*m).\nAnswer: -34*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**2 + 3*i. Let d(t) = -81*t. Calculate d(w(m)).\nAnswer: 81*m**2 - 243*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 5*r + 780 = 0, 0*x + 156 = x - 3*r. Is x a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 218.5 + -35.5. Let z = 181 - u. What is the third biggest value in z, -5, 6\/31?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 + -120.\nAnswer: -119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (3223 + 3 + 6 + -2)\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -4957, -39737, -134135, -317959, -621017, -1073117, -1704067, -2543675?\n\"Answer: -4968*w**3 - w**2 - w + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -10540, -21069, -31600, -42133, -52668?\n\"Answer: -a**2 - 10526*a - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w + 1. Let s = 16 + -8. Calculate the remainder when a(s) is divided by 3\/(6\/4) + 3.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 69*w**2. Let s(j) be the third derivative of j**5\/60 + j**2 - 7*j. What is o(s(d))?\nAnswer: 69*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:09 PM and 1:25 AM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*h**4\/9 + 8*h**3\/9 - 14*h**2\/9 - 20*h\/9 = 0. Calculate h.\nAnswer: -5, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 25 = -13*b + 16*b, 0 = 3*b - 9. Is (-28010)\/o + 2\/4 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -1 + 15. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 15\/((-15)\/(-14))*1\/((-4)\/2). Let d(t) = 4*t + 35. Calculate d(r).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 67489?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = a + 11. Let y = -2 - a. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3\/(-9))\/(103\/6). Let r = p + 7216\/309. Find the common denominator of ((-4)\/10)\/((-8)\/(-122)) and r.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**2 - 74*r + 52. What is o(-74)?\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 9 = -3. Suppose t*r + 18 = 6*r. Suppose 4*u - r - 6 = 0. List the prime factors of u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-16) - (3 + -3).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 13296*j + 12843*j + j**2 - 26139*j. Let o(m) = -87*m - 696. Let p(s) = 1. Let a(n) = -3*o(n) - 2088*p(n). What is w(a(k))?\nAnswer: 68121*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -141 + 285. Suppose 7*k - 3*k = t. What are the prime factors of k?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 6242725 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, s: 2, u: 4}. What is prob of picking 1 i and 3 u?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 56461799854 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -365 + 362 + 4*x**2 + 1.\nAnswer: 4*x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c - 2*c + c)*(-2 + 1 + 2)*(7 - 3 - 1).\nAnswer: 3*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1\/3)\/b)**10*((b*b**(2\/17))\/b)\/(b**(-1\/2)\/b) assuming b is positive.\nAnswer: b**(-1195\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = 4*w + w - 80, 5*j = w + 129. Suppose 9*z - 6*z - 15 = 0. What is the greatest common factor of z and j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the first derivative of -14*r**5\/5 - 2683*r**3\/3 + 2617. Find the third derivative of f(o) wrt o.\nAnswer: -336*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 22 - -20103?\nAnswer: 20130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 3 + 1 = 0. Suppose -y - 3*l + 17 = -0*l, -v*l = 3*y - 36. Solve -3*a = 12, 0*b + b + a = -y for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -3, 4, 488 in decreasing order.\nAnswer: 488, 4, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -2 + 0 - f**2 + 12*f**3 - 6 + 9. What is j(1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 263.56563ns to minutes.\nAnswer: 0.0000000043927605","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * 245282.85.\nAnswer: -98113.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x + 12 = -x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17667 to the nearest integer?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 52 - 52. Suppose 0 = 4*t, b - 7*t + 12*t - 217 = q. Is b a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 3*x**3 - 36*x**2 - 14*x - 36. Is 33 a factor of l(18)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*g**3 + 148*g**2 - 158*g + 1.\nAnswer: -12*g + 296","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**9*o**(10\/7))\/(o\/((o*o\/(o\/((o**(2\/37)\/o)\/o)))\/o)*o\/(o*o**(-22)*o)) assuming o is positive.\nAnswer: o**(-3501\/259)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = z - 8. Let c(s) = 2*s. Let h be c(1). Suppose z*q - 27 = 2*i + h, 5*i - 3*q + 25 = 0. Are -2\/9 and i equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-126)\/5 - (-15)\/25)*-5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 21 + 1 = 0. Let n(y) = -y**2 - 7*y - 6. Let g be n(m). Factor -3*q**5 + 4*q**5 + 2*q**4 - 3*q**g.\nAnswer: q**4*(q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.186000235 - -0.186. What is q rounded to seven decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.29 + -0.71. Let r = 22 - 23. Let o be ((-3 + r)\/(-8))\/(-2). Sort 2, u, o in ascending order.\nAnswer: u, o, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -21 + 34. Calculate the greatest common factor of 52 and g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -888 + 0.63248.\nAnswer: -887.36752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 867?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -20 (b) 3\/5 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 179656062?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -164898895 by -3.\nAnswer: 164898895\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -2 (b) -1\/2 (c) 17.798 (d) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.87 + -2.13. What is the nearest to y in 4, 2\/3, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -33*j + 1. Let t be g(-3). What is the highest common factor of t and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -117 + (68 - -7) - (4 - 19).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*u**3 - 507*u + 252*u + 258*u.\nAnswer: -15*u**3 + 3*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*d - 26*d = 22*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and -3.147?\nAnswer: -0.9441","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ajaakka. Give prob of sequence ak.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**3 + 11*q**2 - 5*q - 5. Let m = 79 + -72. Let l(h) = -2*h**3 + 16*h**2 - 7*h - 7. Let y(o) = m*v(o) - 5*l(o). Determine s, given that y(s) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1696 and 64.\nAnswer: 3392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 918*w**3 + 1 + w**2 - 922*w**3 + 1. Let f(u) = -u**3 - u**2 + u + 1. Let a = 4126 + -4128. Give a*f(g) + o(g).\nAnswer: -2*g**3 + 3*g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -14309505 to the nearest one hundred thousand.\nAnswer: -14300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.043 - -0.0451. Round x to three decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:02 PM and 9:36 PM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes before 8:02 PM?\nAnswer: 5:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(243) - (sqrt(243) + -1))*-4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5800 - -7200. Sort v, 1, 4 in descending order.\nAnswer: v, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 - -3 - (-1600)\/((-1200)\/48).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 33*b - 40*b + 7 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/20 and -109\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = -l + 1043. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(121)*1 - (-2*sqrt(121)*2 + sqrt(121)))\/((sqrt(11) + sqrt(44)*5 - (sqrt(11) + sqrt(88)\/(sqrt(32)\/sqrt(4))))*-6) + -4.\nAnswer: -4 - 5*sqrt(11)\/54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 76 + -74. Solve -l*u = -4*d - 2, -3*d = 5*u + 3 + 5 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -21405053*d**2*j + 141*d**2 + 2*d*j + 80*d + 4*j - 208 wrt j.\nAnswer: -21405053*d**2 + 2*d + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 4*0.43\nAnswer: 1.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -0.32132, -1\/9, -5\/4, -2\/9 in descending order.\nAnswer: 5, -1\/9, -2\/9, -0.32132, -5\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -3*a - 13. Suppose 2 + 5 = -n. Let s be b(n). Calculate the lowest common multiple of 14 and s + (-6)\/9*6.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in fifty-nine fifths of a hour?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2540, 5083, 7626, 10169, 12712, 15255?\n\"Answer: 2543*j - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 126.422963 times 4?\nAnswer: 505.691852","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*j + 443 - 1587. Calculate the smallest common multiple of 360 and j.\nAnswer: 4680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 501 is divided by 72?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 + (30 - (-3 - -24)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.7 + 1.7. Let f = 1 - 1. Let w = o - f. What is the biggest value in -4, -0.2, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 + -6. What are the prime factors of 6*((-6)\/(-4))\/y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the second derivative of -z**4\/6 + z + 7. Let c(g) = -g - 6. Let f(s) = -1. Let j(n) = c(n) - 3*f(n). Give a(j(m)).\nAnswer: -2*m**2 - 12*m - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*g + 11 = d - 57*g, 4*d - 17 = 3*g. What is the lowest common multiple of 108 and d?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -24a3 - 1?\nAnswer: -24a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ntttgtsyttttstwgtwt. What is prob of picking 1 t and 1 n?\nAnswer: 11\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-16)\/8 - 12\/(-2). Suppose -g*w + 3*q = 7*q - 432, -2 = -q. Let a = -744\/7 + w. Put -1\/7, 0.1, a in ascending order.\nAnswer: a, -1\/7, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10739, -10736, -10733, -10730, -10727?\nAnswer: -10724","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 44946416 + -44946304.000165. Let q = -112 + c. What is q rounded to five decimal places?\nAnswer: -0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 take away 114390?\nAnswer: -114390.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3804.691ml in litres?\nAnswer: 3.804691","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes after 1:43 PM?\nAnswer: 6:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-525)\/(-210))\/((-3)\/(-6)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*q**2 - 94*q**4 + 1465*q**3 + 2*q - q - 1465*q**3 + q as s*q + z + x*q**2 + m*q**3 + i*q**4 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (157 + -160)*(-143)\/(-33) - -88?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -102120011121201200 + 11?\nAnswer: -102120011121201112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + 4*d = 232. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33885 - 7090 = -745*k. Suppose 0*t - t = -10. Calculate the remainder when k is divided by t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:33 AM and 10:19 AM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -130*h**3*k**2*r**2 + 3*h**3*k*r - 2*h**3*r**2 + 2*h**2*r + 3310*k**2*r + 2*k**2 + 99*r**2 - 2*r - 4 wrt r?\nAnswer: -260*h**3*k**2 - 4*h**3 + 198","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 12363293 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (45\/(-30))\/(1*-3)*-2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 3, s: 4, e: 4}. Give prob of picking 2 n and 1 s.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.105 - 6.995. Let d = 7.09999942 + m. Round d to 7 dps.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 + 25 + (15 - (-29 - -37))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 20 + 3 - 2*r**2.\nAnswer: -2*r**2 - 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 140459 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -203702 (base 13) to base 3.\nAnswer: -1102010022012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/(-2) - 2)*(-34032)\/(-269420)?\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2217)\/(-12) - 6\/8. Calculate the highest common divisor of i and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 2*q**2 + 2*q - 1. What is the remainder when 20 is divided by x(2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39977 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/7 < 2\/5035?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3236*f + 6*f**2 - 6473*f + 3237*f + 13*f**2.\nAnswer: 19*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the first derivative of -1481*n**4\/4 + 11*n**3\/3 + 7*n**2\/2 + 2395. Find the third derivative of p(i) wrt i.\nAnswer: -8886","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 + -552614200?\nAnswer: -552614203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 928 and 1044.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 6093 divided by -3\nAnswer: -2031","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18347916?\nAnswer: 2, 3, 1528993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 + 4. Let x = l + -4. Let a be -4 + 2 + (-12)\/x. Solve 3*g + 2*i = 11, 3 = -a*i - 1 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.14 + -0.34. Which is the closest to -2\/7? (a) u (b) -0.3 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7063 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 90 = 4*y, 0 = -2*s - 2*s - y + 51. Let o = -140 - -259. Suppose o = -13*z + s*z. Does 17 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.42 - -6.02. Let l = 6 - j. Let g = -2 - -4. Which is the closest to g? (a) 3\/2 (b) 4 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -6*r**2 + 3*r + 4. Let v(f) = -f**2 + 1. Let h(g) = -b(g) + 5*v(g). Give h(5).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7\/39 in -4, -15\/77, -3?\nAnswer: -15\/77","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 5*u**2 - 11*u - 7. Let o(x) = 3*x**2 - 6*x - 4. Let b(l) = -7*o(l) + 4*y(l). Factor b(a).\nAnswer: -a*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -1. Let a(z) = -4*z + 23. Let u(t) = a(t) + 2*f(t). Let r be u(4). Solve -r*h = 1 - 11 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13.458126 minutes to hours.\nAnswer: 0.2243021","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.5? (a) 2\/7 (b) -0.2 (c) 0.14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 365 times -0.2?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-100)\/18)\/((-18)\/(-27)). Let s be 57\/9 + 2 - 1\/(-4). Let l = x + s. Which is the fourth smallest value? (a) 0.1 (b) l (c) -0.6 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 747 by -249.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is (5*(-5 - 2103005\/(-50)))\/((-3)\/(-6)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2736) + -2 + 5.\nAnswer: 3 + 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.76315 to 0 decimal places.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*j**3\/2 + 437335*j**2\/2 - 7869600*j + 70819110.\nAnswer: -5*(j - 87431)*(j - 18)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -27b136b (base 12) in base 13?\nAnswer: -1851b90","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.099 + 2.97101. What is i rounded to two dps?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 17 - 21. Let j(y) = y + 8. Let q be j(a). Solve 4*m + 3 = -4*r - 1, -5*r + q*m = -4 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 604486 is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4900?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -171*b**5\/2 + 10451*b**4\/2 - 94031*b**3\/6 + 24977*b**2\/2 - 1628*b - 986\/3 = 0?\nAnswer: -2\/19, 1\/3, 1, 17\/9, 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 501682219 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 75\/14416 and -37\/848.\nAnswer: 14416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/8*3856\/(-723)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -h*k + 2206015*h - 3646570*k wrt h.\nAnswer: -k + 2206015","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - (-5 + 1 + -1) - 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1, -0.6, -5, -2\/45, -0.4?\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 65*w**3 - 101*w**2 - 9*w - 3. Let t be x(-43). Let p = t + 2847320. Round p to the nearest one hundred thousand.\nAnswer: -2500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 divided by -232\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 17 + (1\/1)\/1. Suppose 16*c = b*c - 158. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 149 - 65. What is the remainder when t is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1\/(-3))\/((-3)\/(-27)). Let z(r) = -5*r - 4. Does 11 divide z(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1101.5 in -0.3, -13\/4, -2\/7, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 51\/424 and -77\/159.\nAnswer: 1272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/9? (a) -2155202 (b) 0 (c) 4 (d) 3\/5 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -8927, -17790, -26661, -35546, -44451, -53382, -62345, -71346?\n\"Answer: -a**3 + 2*a**2 - 8862*a - 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 63*v**5 - 193*v**5 + 75*v**5 + (2*v**3 + 5*v**4 - 2*v**3)*(4*v - 2*v - 4*v).\nAnswer: -65*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i + o + 26700 - 3387, -4*i + 2*o + 93266 = 0. What is the thousands digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2106743.1 rounded to the nearest 1000?\nAnswer: 2107000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 4*s**2 - 127*s**3 + 124*s**3 - 7*s**2 - 5*s**2 - s**4 + 16*s - 2*s**2 in the form x*s**4 + m*s**3 + j*s**2 + y*s + c and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 162336910 to the power of 1\/3, to the nearest integer?\nAnswer: 546","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**0\/t)**(2\/15)\/(t**(-2\/5)*t**1)*t**(1\/6)\/t**3*(t\/(t\/((t\/(t\/(t*t*t**(-2\/5))))\/t)))**(2\/51) assuming t is positive.\nAnswer: t**(-1807\/510)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wzpj when four letters picked without replacement from jupjjjwjzuuzz?\nAnswer: 1\/1144","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lrcsysy. Give prob of picking 1 c and 2 y.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**2. Let g(r) be the third derivative of -r**5\/15 - 37*r**4\/24 - 112*r**2 - 2*r. Calculate c(g(u)).\nAnswer: 16*u**4 + 296*u**3 + 1369*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 32\/(-14) + (-2)\/(-7). Let k be 2 + -1 + -2 + 5. Suppose -4 = k*s - 0. Which is greater: s or b?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-4)\/(-3))\/(500\/150). Put -116, v, 4 in increasing order.\nAnswer: -116, v, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3750.587 years in decades?\nAnswer: 375.0587","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 206\/(-103)*1\/(-15)*1\/2.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 21\/(-28) - 23\/(-4). Suppose -4*x = 3*m - 15, r*m - 3*x - 37 = -12. Suppose -m*p = -115 - 75. List the prime factors of p.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14971 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(-1) + (4 - 0\/2). Suppose -3*u - 504 = -y*n, -4*u + 8 + 8 = 0. Is 6 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -30 - -13. Let o = r - -22. Suppose -o*f - 20 = 3*b, -3*f + 0*b + 17 = -4*b. Sort -4, f, 5 in descending order.\nAnswer: 5, f, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the third derivative of -p**10\/302400 - p**9\/120960 - p**5\/20 - p**2. Let z(b) be the third derivative of x(b). Factor z(v).\nAnswer: -v**3*(v + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -3*f - 3, -3*z + 0*z = 4*f + 3. Is z a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*y - 460 + 470 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*w + 123788273 + 687281727. What is w rounded to the nearest one million?\nAnswer: 48000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(-7) - (-17)\/((-476)\/(-624)). Let a = k - 22. Solve v = -4*n - 5, 4*v = -a*v - 5*n - 9 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:23 AM and 7:11 AM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 15\/3*(-40)\/(-25). Suppose -g - 4 = -2*p, 0 = p + g + o - 4. Solve p = w - 3*z + 5*z, 0 = 3*w + z for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 706 + -474. Let m = -222 + o. Let y(x) = 21*x**2 - 1. Let h be y(1). Calculate the highest common factor of h and m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -5 + 11. Suppose -2*l + 26 = 6. Suppose l = -0*a - w*a. Which is smaller: a or -4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68217 is divided by 822?\nAnswer: 813","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 92\/7 - 94\/7. Suppose 4*j + 0 - 4 = 0. Let h = 1596 - 1596.5. Which is the closest to 0.1? (a) o (b) j (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/1680 and -37\/1730040.\nAnswer: 24220560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 105 divide 4315?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2816, -2671, -2526, -2381, -2236?\nAnswer: -2091","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6854.653l in millilitres?\nAnswer: 6854653","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jfmjmm. What is prob of sequence jmmf?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = k - 718, -26*k + 28*k + 2184 = 3*m. Is m a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*u - 10*u + 4*u - 1 + 3*u + u as w + g*u and give g.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 243*j**3*z - 467*j**3 - 3 wrt z?\nAnswer: 243*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 68150823 to the nearest integer?\nAnswer: 408","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -501 - -276. Let j = s - -2027\/9. Let g be ((-2)\/4)\/(9\/4). Which is the smallest value? (a) j (b) 4 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the third derivative of -c**7\/840 + c**5\/60 - c**4\/8 - 2*c**2. Let j(q) be the second derivative of f(q). Differentiate j(g) with respect to g.\nAnswer: -6*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 + b2e?\nAnswer: b2d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes after 1:25 PM?\nAnswer: 9:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 35595316?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1*(-2)\/(-20)*-2. Let o = -6 - -1. Which is the closest to -1? (a) h (b) o (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 449934, 3599568, 12148610, 28796772, 56243766?\n\"Answer: 449952*s**3 - 8*s**2 - 6*s - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1198, 784, 370, -44?\n\"Answer: -414*q + 1612","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uucjjjucjuu. What is prob of sequence juu?\nAnswer: 8\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i - 10*i + 6 - 6*i - 10. Let f be s(2). Let l = f - -50. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -13*g**2 + 538*g + 41. What is d(42)?\nAnswer: -295","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 374 - -13d1d?\nAnswer: 14091","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 31 = -36. Let d = 4 - u. Let a be d\/(6 - 1) - -3. Solve -5*s + 15 = a*f, -3*f - 3*s + 5*s = 6 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -4. Let d(s) = -2*s**2 + 42*s - 13. What is d(l) - 3*u(l)?\nAnswer: -2*l**2 + 42*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -62*h + 2. Let c(j) = 1672*j - 55. What is -4*c(g) - 110*m(g)?\nAnswer: 132*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6907, 6839, 6725, 6565?\nAnswer: 6359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 45.4 + -83.2. Let z = q - -39.404. What is z rounded to one dp?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5450 (base 6) to base 11.\nAnswer: a40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1663*t + 1584*t + 41 + 196 = 0. Solve -4*n - 2*s - 29 = 5, -4*s - 2 = -t*n for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 + -2. Let w(r) = -r**3 - r**2 + 5*r + 4. Calculate the common denominator of w(g) and -1 + (-19)\/((2 - -1) + 7).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 2*x + 8. What is a(-15)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o**4 - 2*o**4 + o**4)*(-1 + 4 - 2) + 180*o**4 - 478*o**4 + 192*o**4.\nAnswer: -107*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**2 + 32*q - 55. Suppose -19*u + 331 = -182. What are the prime factors of k(u)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*o**2 + o**2 - 5*o**2)*(-37*o - 58*o - 105*o) in the form n + x*o + z*o**3 + d*o**2 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/2848 and 17\/2848.\nAnswer: 2848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 75, 139, 217, 315, 439, 595, 789, 1027?\n\"Answer: i**3 + i**2 + 54*i + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**2 - 2*l + 2. Let g be n(2). Let b(v) = -v - 3*v - g + 2*v + 0*v. Let u be (9\/(36\/(-32)))\/(-8 + 6). What is b(u)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 22 and 20*(-2)\/(-2) - 0.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5032*g + 7040 = 4152*g for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h, 1 i, and 1 o when four letters picked without replacement from ohoioioiiiiioohooo.\nAnswer: 7\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -2 + 0*h + 0*h + 2*h. Let i(v) = 3*v - 2. Calculate 4*i(t) - 5*s(t).\nAnswer: 2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2941839168 a multiple of 1284?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 2*x - 4 + 72, -4*x = 3*v - 72. Calculate the greatest common divisor of v and 392.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 + 9. Let q(c) = 0*c - c**2 + 7 + 0*c + 8*c. Let a be q(g). What is the greatest common factor of 14 and a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16080833 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = 3*k + 5*q, 2 = 3*k + 4*q + 23. Let c = -0.29972 - 0.00028. Let o be -2*2\/((-12)\/15). What is the fourth biggest value in o, 4, c, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2597*n + 794*n + 5682*n - 393*n + (0 - 1 + 3)*(2*n - 3*n + 0*n) - 4 - 2*n + 4 as v*n + m and give v.\nAnswer: 8676","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/11 in 31\/4, 0.2, 70?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 61840065?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -726*l + 715*l + 24310 = 0. What is the greatest common divisor of 910 and l?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 303 or -9241?\nAnswer: 303","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 2*z = 0. Suppose -4*w + z*w + 188 = 4*n, 241 = 5*n + 2*w. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -46c (base 14) to base 8\nAnswer: -1560","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes after 10:27 AM?\nAnswer: 1:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -2\/5821?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 258480907 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -2*g - 28. Let b be h(-16). Let w(f) = b*f - 3*f + 3 + 12. What are the prime factors of w(-8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 2, j: 3}. What is prob of picking 4 i?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2*p**2 - 2)*((1 - 2 + 3)*(-p**2 - p**2 + 4*p**2) + 4 + 2*p - 4 + 3*p**2).\nAnswer: 14*p**4 + 4*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/2*(-18)\/(-27)*11.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-42)\/(-9))\/(2\/((-12)\/((-60)\/(-5))))?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 346*-2*(1 + 0). Let a be g\/(-28) + (-4)\/(-14). Let w = -21 + a. Solve 0 = j + j - w for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -95\/412288 and 65\/566896.\nAnswer: 4535168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/120 and 5 - (8\/(-24) + -7)?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 3, f: 5}. What is prob of sequence ffbf?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -17.1164294802604 less than -0.3?\nAnswer: 16.8164294802604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2696 - 1605. Let c(l) = k*l + 13 + 1 - 1089*l. Determine c(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.6098 + 0.0252. Let g = 0.735 - n. Let f = 7 - 4. What is the nearest to g in 1, f, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 + -2 + 4 + -1\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -5*q**2 - 6*q + 9. Let m be g(3). Let s = m + 67. Let f be ((-3)\/2)\/(3\/(-52)). What is the greatest common divisor of s and f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 + 6 - -16) + -7 - (-1 + -1)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 - -6. Suppose 2*s = -h*u + 44, 7*s - 5*s + 16 = u. Suppose -5*x + u*x = 10. Solve -4*z - 3*l = 2*l, -x*z - 2*l - 2 = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 5*x**2 + x. Let v be t(-1). Suppose -33*i + 65 - 32 = 0. Sort -5, i, v.\nAnswer: -5, i, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45311779?\nAnswer: 45311779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d + w - 142 = 0, d + 2213*w - 7326 = 370*w for d.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -3*q**2 + 352*q + 241. Let c be s(118). Solve -3*x = -c*x - i + 5, 15 = 5*i for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 2 - 4)*(6*v - v - 3*v) + 11*v - 6 + 6 + 201 - 91*v + 193*v - 100*v to d*v + j and give d.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/92644 and -91\/17480.\nAnswer: 926440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 62.7438 to one dp.\nAnswer: 62.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10110010000010 - -11?\nAnswer: -10110001111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cmccmcc. Give prob of sequence mcmc.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -2*l, 0 = -2*o - 3 + 1. Suppose -l*x = -7*x + 10. Calculate the least common multiple of 18\/(-27) + 32\/3 and x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 2*h - 1 + 38*h**2 - 9*h**2 + 24*h**2 + 0 - 13*h**2. What is x(1)?\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = 3*u. Suppose 0*t - 2*t - 4*a - 10 = u, -4*t + a = 20. Put t, 0.1, 0.5 in ascending order.\nAnswer: t, 0.1, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve o**3\/2 - 13*o**2 + 45*o\/2 + 36 = 0 for o.\nAnswer: -1, 3, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 295004 - 211957 = 8958*t - 284231 for t.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -20600721*l**3 + 13*l**2 - 196*l + 1396?\nAnswer: -123604326","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1236 - -1239. Solve 5 = -r*w + 11 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a day in hours?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-75)\/(-10))\/(2\/4). Suppose 0 = 3*o - 0*o - a. Let b(i) = -i**3 + 6*i**2 + 2*i. Is b(o) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-32 + 32 + 6*s)*(1 + 4 - 3)*(4*s + 1 - s - s).\nAnswer: 24*s**2 + 12*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes before 10:16 PM?\nAnswer: 4:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 y when two letters picked without replacement from {l: 1, x: 2, y: 1, n: 1, g: 1, c: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -3*y. Let g(h) = 1296*h**2 - 10. Determine z(g(s)).\nAnswer: -3888*s**2 + 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3523 - -3528. Solve -11*p + 10*p + 29 = o*c, 5*p - 5 = 3*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2700 = -909241*t + 909301*t for t.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -21 - -32. Let m(y) = 2*y**2 - 18*y - 2. Let v be m(r). Calculate the remainder when (-1)\/((-2)\/v - 0) is divided by 7.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of p**2 - p**2 + 1059*p - 552*p - 398*p**3 wrt p?\nAnswer: -2388*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 97*p - 3682. Let h be r(38). Solve -5*g - 4*x = -7, 13 = -14*g + 13*g + h*x for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 2*z**3\/13 - 82322*z**2\/13 - 576352*z\/13 = 0.\nAnswer: -7, 0, 41168","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 292.4 - 292. Which is the closest to -0.5? (a) 3 (b) 5 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000071781229 rounded to six dps?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2064 + -973. List the prime factors of x.\nAnswer: 1091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 300032 (base 5) to base 4\nAnswer: 2102300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 16) to base 15.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 252\/(-112)*16\/(-60)\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-55*v**3 - 83 + 57*v**3 + 147)*(6*v - 2*v - 2 - 2*v).\nAnswer: 4*v**4 - 4*v**3 + 128*v - 128","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1\/(-2))\/((-1)\/2). Let g(s) = -4*s + 2. Let l(i) be the first derivative of i**2\/2 + 2. Give t*g(n) + 6*l(n).\nAnswer: 2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*w - 4*w + 6*w)*(-2*w**4 + w**4 + 3*w**4) + 3*w**5 - 3*w**5 - 3*w**5.\nAnswer: -5*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3883 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 4\/61?\nAnswer: 4\/61","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and -2411968?\nAnswer: -964787.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7538?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*3*(-4*(4 + sqrt(243) - sqrt(243)) - 3*(sqrt(243) + sqrt(243) + 1))**2 + 1.\nAnswer: -81980 - 18468*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 25\/((-1)\/(-4)*2). Suppose g = 3*k - 0*k + p, -3*k = -5*g + 214. Suppose -3*s - g = -185. Does 17 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.02 + 0.28. Let w be (0 - (-2615)\/9) + 2. Let g = -293 + w. What is the third smallest value in a, -0.2, g?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 147 and 77?\nAnswer: 1617","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 64 + -38. Let y = -7389 - -7442. Let z = y - m. What is the remainder when 80 is divided by z?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:11 PM and 8:21 AM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7*(-88)\/(-1078)*35?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5921 + 5921 + 133*o**2.\nAnswer: 133*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 2 + 2 = 0. Let r = -0.07 - 0.13. What is the closest to p in 2\/5, 0, r?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = b + 1, -1 = -4*b + 4*c - 5. Let u be 2\/6*(b + 19). What is the highest common divisor of u and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 71, 102, 107, 74, -9, -154?\n\"Answer: -2*w**3 - w**2 + 48*w + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -84*x - 9 - 59*x + 173*x. Let f(k) = -15*k + 4. Determine 9*f(y) + 4*j(y).\nAnswer: -15*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2842386 and 276?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 242 is divided by 95?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4992 + -4975. What is the remainder when a is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8155 divided by -6161?\nAnswer: 8155\/6161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3800)*-1 + sqrt(3800))\/((4*sqrt(10))\/sqrt(5)))**2*4 + 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/756690 and -61\/22448470.\nAnswer: 67345410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + (5 - 15) + 19 + (-18 - 21)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes after 10:01 PM?\nAnswer: 5:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3835?\nAnswer: 5, 13, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2\/151801 - 8045105\/26413374. Let h = 4\/29 + k. Which is the smallest value? (a) h (b) -2 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -20*v - 1. Let k(n) = n - 143340. What is t(k(w))?\nAnswer: -20*w + 2866799","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 37 + -40. Sort 4, 2\/11, -2\/3, l in ascending order.\nAnswer: l, -2\/3, 2\/11, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -2 (b) -3474\/197 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b - k = 9, -11 + 0 = 2*b - k for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**3 + u**3 + 20 - 3*u**3 + 2*u**3 + 9*u**2 - 2*u. Let a be l(9). Solve 1 = a*c - 5 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -29*t - 13. Let r be g(-1). Solve -c + 5*c - r = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -980*d - 21573. Calculate i(-21).\nAnswer: -993","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 5*r + 0*r + 115 = 0, -4*v - 3*r = -163. Does 38 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 951 is divided by (68\/(-10))\/(84\/(-840)).\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 45605?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.02448 + -3.97552. Which is the third smallest value? (a) -0.3 (b) u (c) 1\/427 (d) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1224460691?\nAnswer: 487, 859, 2927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-2\/3))**14*(o*o**(-1\/4)\/o*o)\/o**(-1))\/(o**5*o**(-5)*o)**(-18\/7) assuming o is positive.\nAnswer: o**(-421\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 186 and 3?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 53*m + 54*m + 1)*(-3 - 3*m + 3) in the form x*m**2 + l*m + w and give l.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 1 w when three letters picked without replacement from {v: 4, o: 1, w: 2}.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8769*b - 1423*b - 160*b + 566633 + 317245 = 0 for b.\nAnswer: -123","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2596*p**2 + 4614*p*u + 7735760*u with respect to p.\nAnswer: 5192*p + 4614*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3070 + 8451. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 55204 and 2984?\nAnswer: 110408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 90967.03 centuries to millennia.\nAnswer: 9096.703","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.0744 and -11795.\nAnswer: 877.548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 268960733 to the power of 1\/6, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -31, 55, 141?\nAnswer: 227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(4\/7)\/j)**(-2\/65) assuming j is positive.\nAnswer: j**(6\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 924564.3ms in nanoseconds?\nAnswer: 924564300000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**2 - 13*b - 11. Let i be c(-9). Let z = -10 + i. What is the greatest common factor of z and 105?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 364 (base 9) to base 11.\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**3 - 17*d**2 - 60*d + 70. Calculate x(-11).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10.7 + 97.7. Let z = 87.000043 - y. Round z to five dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*m - 3*m**2 + 4*m + (-2*m - m + 2*m)*(2*m + m - 2*m) + (m - m + 3*m)*(9*m + 2*m - 4*m).\nAnswer: 17*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**2 - 166. Let w be g(0). Let k = -111 - w. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -2*m. Let s(g) = -6*g. Let b(y) = 16*p(y) - 5*s(y). Let d(r) be the third derivative of 0*r**3 + 5*r**2 + 0*r + 1\/24*r**4 + 0. Give d(b(t)).\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 149 + -137. Solve 0 = 5*w - v - 19, -w - 3*w + 4*v + g = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6236440, 12472875, 18709310, 24945745, 31182180, 37418615?\nAnswer: 43655050","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.3 + -0.2. Let w = -219 - -220. Let g be 1530\/136*((-2)\/(-10))\/w. Sort z, 0.3, g, -0.4 in descending order.\nAnswer: g, 0.3, z, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*d - 7*d + 3*d - 3*d + 0*d + 4*d + (-4 - 1 + 3)*(0 + 2*d + 0) + 3*d - d + d + (d - 4*d + 2*d)*(5 - 2 - 4) - d + 0*d - d.\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 3*t + 5 = 0. Let y = 5 - t. What is the derivative of -a + a + a**y + 0*a - 2 wrt a?\nAnswer: 4*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-2*(6\/4)\/(27 + -28))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*-3*((-3 + 2 + sqrt(275) - ((sqrt(275) - (sqrt(275) + 0)) + 1)) + -2 + 2).\nAnswer: -12 + 30*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:07 PM and 1:47 AM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 2*n - n - 2*p, -n + p - 4 = 0. Let c = -44 + 129. Suppose -c + n = -3*o. Is o a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 j when two letters picked without replacement from {r: 1, y: 4, s: 1, z: 4, j: 1}?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + -1. Let l be (3\/9*g)\/1. Let c be 5 - l*(-2)\/4. Solve -8 = -5*r + 17, r - 5 = -c*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the third derivative of j**6\/120 - 7*j**5\/20 + 19*j**4\/24 + 25*j**3\/6 - 5*j**2. Let y be d(20). Solve 3*v - y*s = -4*s + 3, -4*v - 4*s = 12 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 2037*c + 14258. Give o(-7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 2*t - 5*t = 247, t = -3*g + 195. Calculate the highest common factor of 64 and g.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1, 30, -5, -3, -404, 5 in descending order.\nAnswer: 30, 5, 1, -1, -3, -5, -404","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r**5 - 1498*r**4\/3 + 37045*r**3\/3 - 88034*r**2\/3 - 144160*r\/3 - 5856 = 0.\nAnswer: -1, -2\/15, 4, 36, 61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1134, 1132, 1130, 1128, 1126?\n\"Answer: -2*g + 1136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:43 AM and 1:20 PM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 - 2 = 4*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*u - 988 - 1042 + 1902 for u.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 104\/31, 3, 3\/4, -3, 4.6?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1.2 or 11?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -6*o**3 - o - 3. Let i(l) = 24*l**3 + 10*l + 31. Let n(j) = 5*j**3 + 2*j + 6. Let z(r) = -2*i(r) + 11*n(r). What is 4*w(k) + 3*z(k)?\nAnswer: -3*k**3 + 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 129*z**3 + 325570 - 976724 + 325576 + 325578.\nAnswer: 129*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9791 - 10622 + 4*z**2 - 2*z**3 - 5*z**2 + 17543.\nAnswer: -2*z**3 - z**2 - 2870","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 432?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*b - 35 = -0*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -185 = -1145*v + 13077 + 2768 for v.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8027541629 to the power of 1\/5, to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 17 = -2. Suppose n - k*c + 1 = 22, 4*c + 14 = -2*n. Solve -4*o - n = 3, -4*h - 2*o = 22 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 57949?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes after 8:45 AM?\nAnswer: 3:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 5*m - 24 + 61, 4*q - 12 = 0. Let p be (-316)\/44 + (-6)\/(-33). Let o be 32\/14 + 14\/p. Which is the nearest to o? (a) -3\/2 (b) -1 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 122*y + 25*y - 6*y + 987 = 0 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 87*u - 1238 + 5544 - 237 + 2456 for u.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 29 and 23983?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -126 - -77. Calculate the smallest common multiple of 8 and (-53)\/(-7) + 28\/v.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*q - 2*q + q**3 - 13 - 3*q**3 in the form y*q + c*q**3 + u + r*q**2 and give u.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -116 and 289?\nAnswer: -33524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 - -33. Let u be (-1 - 0)\/((-3)\/t). Let z = u - 4. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33 + 18 - 41 - 40 + 2*c.\nAnswer: 2*c - 96","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 84420 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.58886 to 1 decimal place.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 313\/3881?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-33 - (-4 + 1 + 9 + -5)) + (-133 - -141)\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3 - (-13 + 7) - 1. What is the third derivative of 2 - 34*o**3 + 93*o**3 - c + 11*o**2 wrt o?\nAnswer: 354","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6040005 (base 7) to base 3.\nAnswer: 1100100111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-35)\/((-33075)\/(-30))*-18.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -d + 5, -b - 4*b - 12 = -3*d. What are the prime factors of 43*(d + 4 - 2)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 + 5. Suppose n*k = 11*k + 16. Suppose 2*r + w = 127, -k*w = -0*r + 4*r - 252. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 39557.22 millilitres to litres.\nAnswer: 39.55722","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:16 PM and 12:00 AM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:37 PM and 12:44 AM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (6 + 5 - 1) + -7\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3634 divided by -2.\nAnswer: 1817","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = w - 17, w + 30 = 6*w - 4*g. Suppose 5*f - 11 = 2*x - 29, -w*f = 2*x + 10. Let y(h) = 6 + 2*h - 4 + 3. Determine y(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:43 AM and 3:14 PM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44654?\nAnswer: 2, 83, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -4*o**4\/3 + 41170*o**3\/3 - 61742*o**2\/3 - 41164*o\/3 = 0.\nAnswer: -1\/2, 0, 2, 10291","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 3, -0.09, -58 in decreasing order.\nAnswer: 3, 0.1, -0.09, -58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express z + 24*z**2 + 2*z - 3*z in the form b + f*z**2 + g*z and give f.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes after 2:42 PM?\nAnswer: 7:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 91\/2360 and 131\/18408.\nAnswer: 92040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 33 - 30. Suppose -3*p + f = -138 - 330, i*f - 301 = -2*p. What is the tens digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -94*m**3 + m**2 - 32 + m - 134*m**3 + 31*m**3.\nAnswer: -197*m**3 + m**2 + m - 32","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(405) + 0)**2 - (sqrt(125)*-2 + (sqrt(5) + 0 + sqrt(5))**2*-6).\nAnswer: 46*sqrt(5) + 529","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.14 - -3634044575406?\nAnswer: 3634044575405.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -3 (b) -0.4 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 7*n - 17*n + 10*n - 2*n**2. Let s(g) = -84*g + 36. Let k(p) = 12*p - 5. Let i(f) = 36*k(f) + 5*s(f). Give i(u(m)).\nAnswer: -24*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**2 + u + 39. What is the remainder when o(0) is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 376772694?\nAnswer: 2, 3, 7237, 8677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 f when four letters picked without replacement from fffffbfffffffff?\nAnswer: 11\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the third derivative of 0 + 0*i**6 - 30*i**2 + 8\/105*i**7 + 0*i**4 - 19\/6*i**3 + 0*i + 0*i**5. Differentiate x(g) wrt g.\nAnswer: 64*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(85)*1*6)\/sqrt(5) + -4 + (-3 + 3 + sqrt(425)*-1)**2.\nAnswer: 6*sqrt(17) + 421","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 30576715\nAnswer: -1\/6115343","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*h**2*n**4 + 7*h**2*n + 20*h*n**4 - 9*h*n wrt n.\nAnswer: 24*h**2*n**2 + 240*h*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 631894?\nAnswer: 2, 139, 2273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3174 - -22?\nAnswer: 3206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the first derivative of -28*z**4 + 46*z + 91. What is the first derivative of o(w) wrt w?\nAnswer: -336*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*j - 2*j + 3*j)*(20 + 27 + 10)*(-1 + 2 - 3) in the form l*j + b and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 + 0 - (5 - 8). Solve z + 3 = w for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**3 + 13*y**2 - 17*y - 1. Let p be n(-14). Suppose 5*t + 4*a = -0*a + p, -3*a + 17 = t. Solve t*b = 5*c + 15, -4*b - 9 = 2*c + 9 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (24*f - 50*f - 46*f)*(3 - 5 + 3)*(-2 + 2 - f**2) to a + y*f**3 + r*f**2 + p*f and give y.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6*w**2 + 212 - 16*w**2 + 8*w + 235 + 162 - 10*w wrt w.\nAnswer: -44*w - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3+-56528\nAnswer: -56525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -102148, -138190, -174234, -210280, -246328?\nAnswer: -282378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -19\/3? (a) 2\/15 (b) 5 (c) -0.4 (d) 1 (e) 12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -2.684 * 0.061\nAnswer: -0.163724","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*p + 41*p + 2*p - 10595 = 0. Does 20 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**2 + 9*k - 11. Let v be o(-9). Let w = v + 37. Let b = w - -12. What is the remainder when b is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1102 is divided by 41?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (33\/(-55))\/(12\/(-8)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 156 and 3?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 9\/7*v**2 - 3\/7*v**3 - 24\/7 + 18\/7*v = 0?\nAnswer: -2, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0\/1 + (-3)\/18. Let c = 100 + -43. Let m = c - 54. Sort m, -3, k in descending order.\nAnswer: m, k, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the third derivative of q**6\/40 - 3*q**5\/20 - 2*q**4 - 6*q**3 - 24*q**2. Factor g(a).\nAnswer: 3*(a - 6)*(a + 1)*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pn when two letters picked without replacement from {r: 1, p: 8, n: 4}?\nAnswer: 8\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-27)\/(-288)*-8)\/(1\/(-16)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -m + 7*b - 41, 19*m + 12*m - 2*b - 23 = 32*m for m.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5320465 and 206?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**3 - 7*q**2 + 6*q + 4. What are the prime factors of z(-8)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 - 2. Let d = 94.01 + -93.81. Which is the nearest to k? (a) -7 (b) 2 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 82, 1 in descending order.\nAnswer: 82, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -2*n**3 + 111*n**2 - 266*n + 96. Determine g(2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 2.7*-0.5020122\nAnswer: -1.35543294","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f + 2456 - 509. Calculate the greatest common divisor of f and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 2303?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 2 d when four letters picked without replacement from dszdsss?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes before 8:52 AM?\nAnswer: 10:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 99*u - 101*u. Let n(g) be the second derivative of -1\/114*g**4 + 0*g**2 - 14*g + 1\/57*g**u + 0. Factor n(s).\nAnswer: -2*s*(s - 1)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*o - 777 = -12*o. List the prime factors of o.\nAnswer: 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 26*a**2 + 14*a + 13. Let t be s(-3). Solve 24*j + 17*j = -t for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*j*w**3 + 2674344*j*w**2 - 4*j*w + 91925190*w**3 wrt j?\nAnswer: -2*w**3 + 2674344*w**2 - 4*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 880081235 to the nearest integer?\nAnswer: 958","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/(-5)*(-10)\/(-3)*6. Suppose -z*o + 13*o = -315. Let j = 42 + o. What is the highest common divisor of 35 and j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -53 + 73. Suppose -5*i - 2 = 2*p, -p = i + i. Solve -p*g = g + h for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 27226732, 27226733, 27226734, 27226735?\n\"Answer: j + 27226731","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -28870 + 28869. What is the nearest to g in 5\/12, -2, 1\/9, -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/12229992 and -137\/207909864?\nAnswer: 207909864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(119) + (sqrt(119) - 1*sqrt(119))*-6 + sqrt(119) + 6*(sqrt(119) + sqrt(119)*-4))\/((sqrt(7) + sqrt(1008)*2 + -5*sqrt(35)\/sqrt(5))*1).\nAnswer: -4*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 - -9. Let o = 12 - m. What is the biggest value in 0, -4, o?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1468 + 238 = 5*v. Let m = v + 264. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 4*j + 3)*(4 - 2 - 1)*(-j + 3*j + j) + 0 + 0 - 2*j**2.\nAnswer: 10*j**2 + 6*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*b**2 - 68*b + 12*b + 5*b + b + 50*b.\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qbm when three letters picked without replacement from {b: 1, m: 4, q: 2}?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1657 + 2718 - 222 + 767)*(-1 + 2*c + 1).\nAnswer: 9840*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 = -5*h + 2*q, 13*q - 12*q = 4*h - 16 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -3431, -7246, -11061, -14876?\n\"Answer: -3815*o + 384","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2372172 to the nearest integer?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 123605353 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**7\/(u\/(u\/u**(-2\/19))) assuming u is positive.\nAnswer: u**(135\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.7136 rounded to three decimal places?\nAnswer: 7.714","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21897 + 10783 + 10292)*(2*f - 3*f + 2*f).\nAnswer: -822*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 898451417 to the power of 1\/2, to the nearest integer?\nAnswer: 29974","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-5\/2)\/j**14)\/(j*j**(2\/5))**(23\/4) assuming j is positive.\nAnswer: j**(-491\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, -5, -204, -122\/197?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 18 + 593*f + 1231*f - 164*f.\nAnswer: 1660*f - 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 17? (a) -1\/9 (b) -0.5 (c) 2\/11 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 494 and 317642.\nAnswer: 494","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/(-12) + (1 - 4\/3))\/(-1262 - -1264)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (54\/(-378))\/((-2)\/6). Let 3\/7*x**3 - 12\/7*x - 12\/7*x**2 + 0 + h*x**4 = 0. What is x?\nAnswer: -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 74, -0.1, -5.\nAnswer: -5, -0.1, 74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3738, 6799, 9860?\nAnswer: 12921","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -2.7, -50, -14, -4\/7 in increasing order.\nAnswer: -50, -14, -7, -2.7, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -t - 33*s + 32*s, -2*t - s + 5 = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**3 + 8*w**2 - 3*w - 3. Let j = 1821 + -1814. Give r(j).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38327634 divided by -12775878?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2150499448 to the nearest integer?\nAnswer: 46373","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 259150*y - 2591501. What is n(10)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times -4.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -565 + 570. Let p be 2\/6 - (-14)\/(-6). Let q = p - 3. What is the biggest value in l, 3, q?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:35 PM and 12:47 AM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 226*s - 361575 + 361575.\nAnswer: 226*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 68100 divided by 1362\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*n - 5 = -30*n. Solve -c + 5*b - 31 = c, 37 = -4*c + n*b for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**3 - h**2 - h - 1. Let k be (4 - 4)*((-4)\/6)\/2. Suppose 4*l - 27 + 19 = k. Let g(b) = 7*b**3 + 8*b**2 + 9*b + 9. Calculate l*g(w) + 18*z(w).\nAnswer: -4*w**3 - 2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l - l + 2*l)*(5 - 5 + 2*l) + 15 - 15 - 7*l**2.\nAnswer: -9*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 13572?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 2.046321 months?\nAnswer: 0.17052675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w + o + 7 = 0, 3*w - 7*o = -9*o - 14 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -47655 (base 9) to base 16\nAnswer: -7c8b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**3 + 5*x**2 + 8*x - 7. Let i be g(6). Let h = 10 + -19\/2. Is i smaller than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v = 5*v + 4*q - 8, 0 = 3*q - 15 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from kxcrkrxxxjxk?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2\/23669 + -47316\/260359. Let n = 0.8 - 3.8. Let x = n + 2.9. Which is the closest to x? (a) d (b) -0.5 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -489*w + 2*w**2 + 3*w**2 + 473*w - 29. Is d(-16) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18463 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1 - 154*i**3 + 356*i**3 + 18*i - 176*i**3 wrt i.\nAnswer: 156*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 925, 7441, 25017, 59149, 115333, 199065?\n\"Answer: 916*v**3 + 34*v**2 + 2*v - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*s + 24*s - 119. Let n(j) = 8*j**3 - 2*j**2 - 2*j - 7. Let d be n(4). Let y(p) = d*p - 465*p + s*p**2. Let i(t) = 3*t. Determine i(y(c)).\nAnswer: 51*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (4\/(-8) - (-10)\/36)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes before 7:26 AM?\nAnswer: 8:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(2\/27))\/((m*m\/(((m*m*m**(-3\/5)*m)\/m)\/m))\/m*m) assuming m is positive.\nAnswer: m**(-71\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(2\/37)*h\/(h**7\/h) assuming h is positive.\nAnswer: h**(-183\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -4*z - 134. Let j(b) = b**2 - 92*b + 21. What is k(j(a))?\nAnswer: -4*a**2 + 368*a - 218","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 79 + -65.7. Let l = z - 13.3. What is the third smallest value in 0.6, l, -1\/2, -2\/7?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4455)\/(-264)*(3*1\/(-2))\/((-324)\/288)\nAnswer: 45\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -21.130811 - 0.356889. Let n = v + 21.5. Round n to 3 decimal places.\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -423, -1026, -1899, -3060, -4527?\nAnswer: -6318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.4 (b) 0.3 (c) -5211 (d) -4.8 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve f = 5*p, -2*p - 3452*f = -3450*f - 12 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2, 0.199, 3\/7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 10*q**2 + 0 - 678*q - 9*q**2 + 680*q.\nAnswer: q**2 + 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -q**4 - 6360956*q**3 + 1194723*q + 24.\nAnswer: -12*q**2 - 38165736*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 2*q - 7 = 3, 4 = -3*f + 5*q. Let k(d) = 3*d + 5*d**f + 0*d**3 + 0 + d**3 - 1 + 4. Give k(-5).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and 0.151?\nAnswer: 0.0755","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*t - 7*t + 2*t - 112 = -11*i + 32*i, -5*i = -t + 18 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3*(-3)\/(-18))\/((-2)\/(-20)). Sort 0.3, 4, a, -3\/2 in descending order.\nAnswer: a, 4, 0.3, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -82.003 + 74.69. Round c to 1 decimal place.\nAnswer: -7.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*1386.\nAnswer: -5544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-6)\/(-5))\/(6\/20). Suppose -o = o - g. Solve o*j + 3 = j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 710235787 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-9)\/((-2)\/(-4) - 0). Let i = z + 26. Suppose 0 = 3*x + 2*f - 2, 4*f + 5 = x - 5. What is the smallest common multiple of x and i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 15 = 0, o = -3*o + 3*l + 79. Calculate the remainder when o is divided by (-1)\/(2\/8)*-2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(10\/2)*25\/25.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -2*o**3 + 570*o**2 - 1684*o - 2260. What is s(282)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 3*p + 3*x, 4*p - 7 - 9 = 2*x. Suppose -y = y - 140. Suppose 4*z - y = -5*t, -t + 32 = 3*z - z. Solve -s - z = -p*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 31060 or 48?\nAnswer: 31060","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*f - 3*f - 16*f + 11*f - 2*f + 2*f.\nAnswer: -5*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1879763?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (6\/(0 + 9\/(-30)))\/2. Is 6458\/3*(225\/h)\/(-5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 3*o + 142, -o - 138 = -2*j + 3*o. Let t = j - 38. What are the prime factors of t?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -a81 (base 11) to base 10\nAnswer: -1299","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 344.40528 * -0.3.\nAnswer: -103.321584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -292 = 66*j + 368 for j.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*h - 3*s - 6 + 18, -5*s = 2*h - 16 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2 + -3)\/((-2)\/26). Let n = b + -8. Solve -2*m - n = -7*m - 5*g, 0 = -3*m + 2*g + 18 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 431560 is divided by 1371.\nAnswer: 1066","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 2*h**2 - 231*h - 7425. What is b(142)?\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1536749?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.2 - 0.2. Let p = d - -1. Let c = 166 - 2488\/15. What is the second smallest value in p, c, -1\/6?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7512.773 - -7509. Let n = d + -0.227. What is the nearest to -0.4 in n, 0, -6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11 + 7. Is 44 + 1*(-5 - k) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-20)\/(-13) + 16\/(-8). What is the nearest to -0.4 in 3, 1\/4, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:40 AM and 6:07 AM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2135480696 to the nearest integer?\nAnswer: 1288","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1530 (base 6) to base 12\nAnswer: -2a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l + h - 51 - 3, -4*l = -5*h - 20. Suppose -5*t + 3 = -17. Find the second derivative of -9*d + 3*d - t*d**5 - l*d**4 + 10*d**4 wrt d.\nAnswer: -80*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 t when two letters picked without replacement from uuuuugwttgut.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -21*z - 32. Calculate the remainder when y(-4) is divided by (-27)\/(-1) + (0 - 0).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 22*i**2. Let m(j) = 2*j**2. Calculate u(m(v)).\nAnswer: 88*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of u**3 - 13*u**3 - 2*u**2 - 5*u**2 - 4*u**2 wrt u.\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 2*z**2 - 11. Let u(l) = 4*l**2 - 23. Calculate -13*o(c) + 6*u(c).\nAnswer: -2*c**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4906007 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 585515141?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*d + 0*d**3 + 4*d**4 - 5*d**4 + 2*d**3 in the form m*d**4 + t*d + c*d**3 + s*d**2 + p and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1*-1)\/((-23)\/((-644)\/(-280))).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (((1 + sqrt(1100) - sqrt(1100) - sqrt(1100)) + 4)**2 + 5)*-1.\nAnswer: -1126 + 100*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/14)\/((-5)\/(-60)*-3)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 2 l when four letters picked without replacement from {l: 15, b: 3}.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (12 - (-11 - -13)) + (4 - (3 - 12))\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**2 - 2*c. Let x(h) = 8*h**2 + 10*h. Let b(w) = 14*l(w) + 3*x(w). Let y(k) = k**3 + 4*k**2 + k. Let o be y(-4). What are the prime factors of b(o)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/(-3 + 1 + 5)*-9. Sort c, 9, 2, -1 in ascending order.\nAnswer: c, -1, 2, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -103*t + 205. Let l be s(-15). Calculate the greatest common divisor of 25 and l.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11 - (-8 + -3 + -18)) + (-25 - -19) + -11.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 96357 + -55944. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 87791735 less than -0.3?\nAnswer: -87791735.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-7))\/(-24*4\/(-42)).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -6993 to the nearest one hundred.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 3*q**3 - 247*q**2 + 80*q + 176. Let u be h(82). Sort 0, u, -3, -11, -4.\nAnswer: -11, -4, -3, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 144 + 8*h + 173 + 6*h - 8*h - 46.\nAnswer: 6*h + 271","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the first derivative of -2*w**3\/9 - 5*w**2\/3 + 4*w - 30. Determine z so that a(z) = 0.\nAnswer: -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(3 + 3*4*2*sqrt(1573) + 0)*-5.\nAnswer: 90 + 7920*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -253943305.9 to the nearest one hundred thousand.\nAnswer: -253900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 119942585*d**2 - 53283287?\nAnswer: 239885170*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**3 + 16*c**2 - 18*c + 4. Suppose 9*i + 170 = -i. List the prime factors of l(i).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 276057?\nAnswer: 3, 37, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-7)\/(-6)*128\/224. What is g in -4\/3*g**3 - l*g**4 + 0 + 0*g - 2\/3*g**2 = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 35 - 49. Let x = -10 - d. Let h be 8\/48*6\/x. Which is the nearest to h? (a) 0 (b) -5 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**2 + 10*u - 18. Let g(i) = -i**3 - 18*i**2 + 21*i + 25. Let t be g(-19). Let b be f(t). Is b - (1 + 0 + -2) - -1 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21\/(-2)*(-3080)\/4620?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the third derivative of -o**6\/120 + o**5\/6 - 5*o**4\/12 - 7*o**3\/3 - o**2. Suppose t + 26 = 32. What are the prime factors of d(t)?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 369913 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 713 a factor of 180403260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the first derivative of -m**4\/4 - 2*m**3\/3 + 7*m**2 + 14*m - 7162. Give i(-5).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 2*p - 7. Let x be q(6). Solve 0 = -g + x - 8 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 851?\nAnswer: 23, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (7 - 2) + 2*-1. Let i(x) be the first derivative of 9*x**3 - 2*x**k + x**7 - 4*x**3 - 9. Find the third derivative of i(y) wrt y.\nAnswer: 840*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the second derivative of r**5\/24 - 95*r**4\/72 + 185*r**3\/18 - 70*r**2\/3 + 398*r. Factor t(m).\nAnswer: 5*(m - 14)*(m - 4)*(m - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the second derivative of n**4\/3 + 242*n**3\/3 + 476*n**2 + 350*n + 1. Factor k(h).\nAnswer: 4*(h + 2)*(h + 119)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 33551 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 11*c - 192. Let a = 86 + -39. Suppose -2*y = -c - a. Is 15 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -76, -85, -108, -151, -220?\nAnswer: -321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0, 593 in decreasing order.\nAnswer: 593, 5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve r = -2, 2*p - r - 688 = -676 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*p = 39*p + 5645. Suppose -5*i + p = 1139. Put -5, 51, -0.5, i in increasing order.\nAnswer: -5, i, -0.5, 51","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is a - -300a?\nAnswer: 3019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1121.\nAnswer: 19, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2482453?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*f*f**(-9\/7)*f**(-8) assuming f is positive.\nAnswer: f**(-51\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 13064, 12841, 12618, 12395, 12172, 11949?\n\"Answer: -223*w + 13287","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven eighths of a milligram in micrograms?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 4*r + 11 = m, 5*m = -15. Let t(c) = 3*c + 14 - r*c + c**3 - 8*c**2 - 2*c**3 - 22. Does 6 divide t(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1b93 (base 12) in base 7?\nAnswer: 12660","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the second derivative of x**5\/20 - x**4 + x**3\/6 - 2*x**2 - 21*x. Let u be l(12). Let q(t) = -29*t + u*t + 11*t. Give q(1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 227678 is divided by 22153.\nAnswer: 6148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 34*r + 343. Calculate k(-10).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:23 AM and 11:40 AM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 45801.66ml?\nAnswer: 45.80166","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -321\/7 - -5443\/119. What is the biggest value in o, 383, -1\/10?\nAnswer: 383","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -20 + 0 + 4 + (-8 - -9).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1104 (base 5) to base 13\nAnswer: -bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((-2*sqrt(72) + 0)*-3 - ((sqrt(22)\/sqrt(44) - sqrt(14)\/(sqrt(7)*-1)) + -2)).\nAnswer: 4 + 69*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-2 + sqrt(90)\/sqrt(5)).\nAnswer: -6*sqrt(2) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-seven quarters of a litre?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes after 7:09 AM?\nAnswer: 11:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4182396 and 742038.\nAnswer: 46006356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 20245675\/126 - 160679. Find the common denominator of y and 97\/406.\nAnswer: 3654","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10 - -10. Let s be (1*(-47 + g))\/((-10)\/(-10)). Let x = s - -89. What is the greatest common divisor of x and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrlllrpnlrlrlr. Give prob of sequence rl.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (70*k**2 + 69*k - 146*k**2 + 78*k**2)*(-3*k - 28*k - 2*k)*(3*k - 4*k + 0*k + (3*k - 4*k - k)*(1 - 4 + 4)).\nAnswer: 198*k**4 + 6831*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -39 + 151. Suppose 3*b = 17*b - t. Solve 10*h + 10 = b*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*s + 46*s + 44*s + 460 = 116*s for s.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 2*n**2 - 60*n - 9. Let k be i(30). Let g be ((-9)\/(-30))\/(k\/15 + 1). Factor -1\/4*d**2 + g*d + 0.\nAnswer: -d*(d - 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 195\/274 at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 5*y - 2997 = -3*p, p - 1497 = 2*y. Let q = y + 1103. What is the tens digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**2 + 73*g + 114. Determine f(-70).\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16153407 divided by -5.\nAnswer: 16153407\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/(-180) + (129\/(-27) - -5). What is the nearest to -1 in 2\/5, -5, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -67885566 rounded to the nearest 100000?\nAnswer: -67900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5862 - -2754. Let b = r + 5569. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the third derivative of y**9\/171360 + y**8\/10080 + y**7\/4284 + 3*y**5\/20 + 6*y**2. Let o(z) be the third derivative of k(z). Factor o(s).\nAnswer: 2*s*(s + 5)*(3*s + 2)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 3*b**2 - 8. Let x(z) = 34*z + 42. Let r(w) = -7*w - 9. Let k(h) = -28*r(h) - 6*x(h). Give q(k(m)).\nAnswer: 192*m**2 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes after 5:14 AM?\nAnswer: 12:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -98*t + t**4 + 5 + 4 + 473*t**3 + 4 + 542*t**3 - 15 wrt t.\nAnswer: 12*t**2 + 6090*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 73.06 - -0.94. Let g = -420020.19099942 - -419946.191. Let q = f + g. What is q rounded to 7 dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23292450 divided by -1355\nAnswer: 17190","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c - 281 = 2*c - 356 for c.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9 - -11. Suppose 5*z = a + 10*z - 45, 5*a + t*z - 294 = 0. Is 15 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/77? (a) -2\/5 (b) 5 (c) -3\/4 (d) 0.59 (e) -0.12\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1124?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2235 a factor of 47973748?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -781*u = -755*u + 52. Sort 1, -13, u, -5 in increasing order.\nAnswer: -13, -5, u, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**2 - w - 12. What is z(-10)?\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 938 a factor of 304555073?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -2*z**3 - 34*z**2 - 47*z - 791. Calculate n(-17).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes after 9:52 AM?\nAnswer: 2:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes after 6:39 AM?\nAnswer: 3:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f - 5*i = 0, 4*i - 37 = -41 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -10, -74, -2\/3, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -4*a**5\/9 + 78502*a**4 + 353272*a**3\/9 - 2119546*a**2\/9 - 824272*a\/3 - 706520\/9 = 0?\nAnswer: -1, -1\/2, 2, 176630","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 165*u**2 - 219*u + 32. Let w(g) = -g**2 - 8*g - 2. Let o(c) = 3*m(c) - 6*w(c). Factor o(d).\nAnswer: 3*(d - 1)*(167*d - 36)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-one quarters of a meter in centimeters?\nAnswer: 1525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -43, -57, -79, -115, -171, -253, -367, -519?\nAnswer: -715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*s + 38*s = 24 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -2327*i - 156163. Determine q(-67).\nAnswer: -254","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 14\/9 of a week?\nAnswer: 15680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13 - 14.2. Let w = u + 1. What is the second smallest value in -3, w, 1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 29790, 119139, 268054, 476535?\n\"Answer: 29783*r**2 + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v + 4 = 0, 2*v = 5*x + 5*v - 23 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 - -3. Let z(n) be the first derivative of -1\/20*n**5 - 1\/2*n**2 - 1\/2*n**3 - 1\/4*n - c - 1\/4*n**4. Factor z(v).\nAnswer: -(v + 1)**4\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -55626004 + -61?\nAnswer: -55626065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15\/(-66)*18*(-2)\/(-45)*1.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 14.36685l?\nAnswer: 14366.85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1592 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: What is the cube root of 1690 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 3*g + 6 = 0. Let i be (-2)\/(-3) - (-180)\/54. Let v(j) = 2*j - i + 0 - 3*j - g. Give v(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 691776?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 13) to base 3.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 104*h**2 + h + 23. What are the prime factors of r(3)?\nAnswer: 2, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 48 and 474.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, q: 1, j: 1}. What is prob of sequence xq?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 645701 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**3 - 24*k**2 - 632*k + 15056. What is u(23)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -96b (base 15) to base 7.\nAnswer: -6125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in fourty-four fifths of a hour?\nAnswer: 31680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3104*q + 8960 - 168*q**2 - 8959 + 170*q**2 to d + b*q + w*q**2 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -66*o + 373 + 221 for o.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-103)\/((-9270)\/60) + 12\/(-21)?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 240832003 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a day in hours?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 997201 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -2*d - 514, -2*z + 5*d = -7*z + 665. Is z a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirteen quarters of a litre?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -477*o**3 - 1718*o - 30*o**2 + 49*o**2 - 21*o**2 - 6 + 476*o**3 to the form j + a*o**3 + m*o**2 + n*o and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 minus -3.5?\nAnswer: -3.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-16) + (5178\/336 - 15). Factor 0*c**2 + 3\/7*c - r - 1\/7*c**3.\nAnswer: -(c - 1)**2*(c + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5798 - 12325 - 3323 + 3889 + 15556*f - 15558*f.\nAnswer: -2*f - 17557","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3368 - 3367.99994192. What is q rounded to 6 decimal places?\nAnswer: 0.000058","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s - 4*s + 4*s)*(416 + 1338 - 93 + 631).\nAnswer: 6876*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.196 - -15.196. Which is the second biggest value? (a) 1\/2 (b) 0 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((i*i**4)\/i)\/i)\/(i*i**(1\/6)))**23*i**9*i*i\/(i*i*i**(-4\/5)*i)*i*(i**0)**(-18) assuming i is positive.\nAnswer: i**(1559\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0064058 rounded to three dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o - 424359413 + 424359413. Let x(w) = -20*w + 4. What is 44*a(h) - 2*x(h)?\nAnswer: -4*h - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1700) - 2*sqrt(1700)) + 0 - (sqrt(1700)*2 + -3) - -6*5*sqrt(136)\/sqrt(128))**2.\nAnswer: -135*sqrt(17) + 34461\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.7309 - -0.819. Round l to 2 decimal places.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a millimeter in micrometers?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 287 = 4*p - 3*p, 4*k + 582 = 2*p. Find the second derivative of -p*v - 8*v**5 - 76*v**5 + 312*v wrt v.\nAnswer: -1680*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 2485 = 4*l + l, 4*l - 1985 = 3*m. What is the remainder when l is divided by 33?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 893*d**4 - 2*d**3 + 10*d**2 + 51*d - 915?\nAnswer: 10716*d**2 - 12*d + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -576 = -3*p - 5*y - 210, 3*y + 488 = 4*p. Let o = -237\/2 + p. Are 4 and o equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16 + -5. Suppose -4*s = -w - 1. Let c be 3\/2 - s\/(-6). Solve c*z + 4*n - 2 = -n, 0 = -5*z + n + 5 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the first derivative of -8*k**3\/3 + 39*k**2 - 5*k + 51. What are the prime factors of v(5)?\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*i - 41 = -33. Which is smaller: 2\/977 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the third derivative of 0*w**5 + 13\/6*w**3 + 0*w**4 + 0*w**6 - 23\/210*w**7 + 0 - 4*w**2 + 0*w. Differentiate b(x) wrt x.\nAnswer: -92*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 - -6. Suppose -z + 31 = 29. Solve -k*m = -m - z for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1828 is divided by 869?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 31.1 + -32. Which is smaller: m or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c*c**(-1)*c*c*c**(-8)*c*c*(c\/(c\/((c\/c**(-5))\/c)))**(-13) assuming c is positive.\nAnswer: c**(-69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/4, 1, -1\/475?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 250075 and 1575?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5790*m**2*t**2 + 28*m**2 - 30*m*t**2 + m*t + 16465 wrt t?\nAnswer: 11580*m**2*t - 60*m*t + m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 - 4. Let k(g) = g**3 - 14*g**2 - 19*g - 10. Let n(m) = -4*m**3 + 43*m**2 + 57*m + 31. Let v(s) = -7*k(s) - 2*n(s). Is v(d) a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1123 + -1093. Suppose -6*r = 2*j - r - 56, 3*r = -2*j + 48. Calculate the remainder when d is divided by j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7061.107 micrograms to grams.\nAnswer: 0.007061107","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -533\/426 - -6\/71. Suppose t - 9 = 4*u, 6 = 5*u - t + 16. Which is bigger: u or r?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 5, m: 2, u: 2}. Give prob of sequence uu.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*p + 29 = 13*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.11 minus 22.3?\nAnswer: -22.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40141942 is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -24 - -22.5. Let m = d - -1.7. Which is the second smallest value? (a) 3\/7 (b) m (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -10, -21, -54, -121, -234, -405?\n\"Answer: -2*z**3 + z**2 - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-891)\/594)\/(63\/4).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -22348.0000015387 + 22348. Round s to seven decimal places.\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 19*p + 106. Let x(t) = -t**3 - 2*t**2 + 24*t + 50. Let u be x(5). Give r(u).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1112065 to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange p + 0*p - 6*p**2 + 56*p**3 + 2 - 47*p**3 to the form c*p + q*p**2 + z + h*p**3 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -166*s**2 - 137*s - 3. Let w = -565 + 569. Let f(z) = -167*z**2 - 137*z - 4. Let k(t) = w*q(t) - 3*f(t). Find the second derivative of k(h) wrt h.\nAnswer: -326","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrr when three letters picked without replacement from {q: 5, r: 8}?\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-4 + (3*sqrt(128)*2 + sqrt(128) - (sqrt(128) - (1 + 3 + sqrt(128))**2))*5)*-5.\nAnswer: 7160 + 5600*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 26263*m**3*t - 17218225*m**3 + 6*m**2*t + m*t wrt t.\nAnswer: 26263*m**3 + 6*m**2 + m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 79481, 18, 5 in descending order.\nAnswer: 79481, 18, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the third derivative of 0*m**6 - 1\/12*m**5 + 1\/5040*m**7 - 2*m**2 + 0*m**3 + 0 + 0*m**4 + 0*m. Let p(g) be the third derivative of n(g). Give p(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 57 and 5719?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1717830 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1317286905 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 + 430340212434?\nAnswer: 430340212424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 3 + 1 + -4 + -1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3 - -1)\/(72\/16). Determine v so that -2\/3*v**3 - c*v**4 + 10\/9*v**2 + 2\/3*v - 2\/9 = 0.\nAnswer: -1, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 120341\/7 or 17192?\nAnswer: 17192","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -305.715826 rounded to 1 dp?\nAnswer: -305.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence soxx when four letters picked without replacement from shsohsxxeh?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 36 + -26. Let a be 1*3 - u\/(-5). Sort -3, a, 2 in ascending order.\nAnswer: -3, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (33 - 34) + (-1 - 1) - 1\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (324\/4860)\/((-7)\/1785)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the first derivative of t**5\/15 + t**3 + 3*t**2\/2 - 6. Let l(s) be the second derivative of r(s). Differentiate l(q) with respect to q.\nAnswer: 8*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -6*z**3 + 13*z**2 + 13*z - 99. Is v(-30) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.31655*0.555.\nAnswer: -0.17568525","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Total of 258524 and 4.\nAnswer: 258528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, -161024, 25 in ascending order.\nAnswer: -161024, 11, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 + 51 = 3*y. Calculate the greatest common factor of y and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 296595, 593186, 889777?\n\"Answer: 296591*p + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4*12\/32*2. Suppose -n + 0 = 3*p. Which is smaller: 3\/2 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 58eec - a0?\nAnswer: 58e4c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-2)\/((-4)\/(-6)) - (-50)\/113400*7239 and 73\/756.\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 15) in base 13?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.2 (b) 661\/30 (c) 2717\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -8b78d (base 14) in base 10?\nAnswer: -339009","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*l - 330 = -14*l. Calculate the highest common factor of l and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rjyjaiajjiijajiy. What is prob of sequence yyr?\nAnswer: 1\/1680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 9720?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m - 2*m + 6. Let i = -1 + -7. Let a be 5 - (-2 + 5) - i. Solve m*j - j = a for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/90)\/((-8)\/42)*(-128)\/112?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**2 - k + 20. Let o be i(0). Let g = o - 0. List the prime factors of g.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(-1)*k)**0 assuming k is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3418?\nAnswer: 2, 1709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 + -19. Is -1 - 5 - -3 - p a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2\/(20\/978) + (-19)\/(-95) and 210?\nAnswer: 1470","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -11, -9, -7, -5, -3, -1?\n\"Answer: 2*g - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5301 (base 6) to base 3.\nAnswer: -1122001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b - 2*b + 3*h - 157, b + 2*h = -42. Let p = b + 43. Suppose -p*w + 101 = -2*w. What is the tens digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 16) in base 15?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2086*o - 2088*o + 58 = -2*m, 2*m = -8. Solve 0 = -o*g + 20*g + 25 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, k: 3, o: 4, c: 7, v: 3}. What is prob of sequence vjc?\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a millisecond in nanoseconds?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 27 + (0 + 4 - 17) + 5?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 289.0917 rounded to the nearest 10?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.6 - 329398482?\nAnswer: -329398470.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0 + 0)\/((-2)\/(-2)). Suppose n = -b - 2*b + 12. Let l be ((-2)\/b)\/((-2)\/(-16)). Let j(s) = s - 3. Give j(l).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 4*g = 83, -u + 13*g + 30 = 14*g. Calculate the remainder when 46 is divided by u.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.21 (b) 2\/7 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12510 by 2085.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -43 - -51. Suppose 0 = 4*g - 28 - h. What is the least common multiple of g and (-70)\/(-6) + (-6)\/9?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 15491, -11, -0.4, 6?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 30607248?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-108 - -1)*8\/(-3 - -11). Let u = j - -110. Which is smaller: -12 or u?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -183 + 331. Let o be (h - (5 + -10))*(-1781470)\/(-6). Suppose o = 2*d + 6827485. What is d rounded to the nearest one million?\nAnswer: 19000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q - 15 = 15*s - 14*s, 9 = q - 4*s for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(78)\/(-6*(sqrt(54) + sqrt(6)))*4)**2.\nAnswer: -13\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -1, 206669, 20, 4 in descending order.\nAnswer: 206669, 20, 4, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5586?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 316616944133 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 - -1d3da?\nAnswer: 1d3db","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4765865?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 72274592 and 9729272.\nAnswer: 505922144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6043124 litres to millilitres.\nAnswer: 604.3124","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 10*j**2*x + 155*j - x + 41 wrt j.\nAnswer: 20*j*x + 155","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -1677298.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 6 - 3*y + 2*y - 5 + y**3 - 562*y**2 + 562*y**2. Let h(q) = 6*q**3 + q**2 - q - 1. Let x be h(-1). Let d = 3 + x. Calculate v(d).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-9)\/(-7 - -4)*1. Suppose -5*w + 44 + 46 = 0. Solve -w = -p*n - 9 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.18 (b) -60 (c) 12694 (d) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**2. Let m(j) = -6*j**2 + 3*j - 1. Let h(z) = -14*z**2 + 5*z - 2. Let g(s) = 3*h(s) - 5*m(s). Calculate g(i(l)).\nAnswer: -12*l**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5*k**2*o*p + 4*k**2*p - k**2 + 14*k*p - 105*o*p wrt o?\nAnswer: 5*k**2*p - 105*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(300) - sqrt(300)*-2) + ((sqrt(3) - (sqrt(3) + sqrt(9)\/sqrt(3))) + 0 - (-1 + sqrt(3) + -1))**2.\nAnswer: 15 + 22*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 12*d**2*s**6 + 2*d**2*s**3 - 3*d**2*s**2 + d**2*s - 3*d wrt s?\nAnswer: 1440*d**2*s**3 + 12*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-5)*u**(-1)\/u*u**(1\/4)\/(u\/((u*u*(u*u**(2\/21))\/u)\/u)))\/((u\/(u*u**(-9)))\/u*u*u*u**(2\/9)*u)**(-30) assuming u is positive.\nAnswer: u**(27721\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 308 * -9.534.\nAnswer: -2936.472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.2 + -0.8. Let m = 38 - 40.1. Let j = -1.1 - m. Which is smaller: y or j?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 l when two letters picked without replacement from {c: 2, a: 4, l: 1, s: 2, v: 2, y: 1}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -8*v - 2*i - 6, -4*v - 5*i = 3. Let d(m) = -m**3 - 3*m**2 - 7*m - 4. Give d(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-117)\/27 - (-8 - -3)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -207 = 12*l - 543. Calculate the remainder when l is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -657 = 19*t - 22*t. Suppose -213 + t = 2*x. Does 32 divide x - (340\/(-30))\/(4\/78)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i + 0*i + 3*i)*(17 - 13 + 19)*(-1 + 6 - 2)*(-1 + 4 - 5 + (8 - 7 + 7)*(1 - 7 - 2) + 4 - 5 + 3).\nAnswer: -8832*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z - n - 53, -n + 63 + 40 = -4*z. Sort 0, z, -2, -4 in decreasing order.\nAnswer: 0, -2, -4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 494456884 to the power of 1\/3, to the nearest integer?\nAnswer: 791","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 29.34 + -29.3. Is -2 > d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/20446 and 13\/22.\nAnswer: 224906","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1245*m**2 + 14844*m - 13599.\nAnswer: -3*(m - 1)*(415*m - 4533)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-2)\/3*21675\/(-50) is divided by 79?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(18)\/sqrt(6))**2 - (sqrt(432) - (sqrt(432) + 0))) + -3 + sqrt(363) + 1 + 3.\nAnswer: 11*sqrt(3) + 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 12*j - 265. Determine c(23).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 1 g when three letters picked without replacement from {i: 5, g: 13}.\nAnswer: 65\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -25, -50, -75, -100, -125?\nAnswer: -150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*a**3 - a**3 - 27*a**3 + 27*a**3.\nAnswer: -4*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 17240744*j + 22614318?\nAnswer: 17240744","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-2\/25)\/((r*r\/((r\/(r**(-37)*r))\/r))\/r)*r**(-4)\/r**(2\/93) assuming r is positive.\nAnswer: r**(71839\/2325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 - -25. Let d = -174 + n. Let f = -146.0133 - d. What is f rounded to three decimal places?\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = g + 4 - 2, 3*g + 8 = 4*x. Let r(o) = 2*o - 46*o**2 + 44*o**x + 0*o**3 + 0 - o**3 - 1. Calculate r(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vllb. Give prob of picking 1 b, 1 l, and 1 v.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -33\/518008 and -23\/1165518.\nAnswer: 4662072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1683, 1722, 1767, 1812, 1851, 1878, 1887, 1872?\n\"Answer: -x**3 + 9*x**2 + 19*x + 1656","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*s - 71*s = 32. Let g(y) = -3*y - 6. Calculate g(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-737)\/268 - 2\/((-24)\/(-3))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 14) to base 3\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2 (b) -4 (c) 1\/2 (d) -4\/11 (e) -0.3 (f) 6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a litre in millilitres?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1898*w + 1892*w = -78 for w.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10 + 7. Let p = 27 - m. Let x be ((-2)\/(-5))\/(3\/p). Solve 0 = -2*w + x*w + b - 6, -w + 2*b + 3 = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ayemi. What is prob of sequence yea?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10 and 84?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10625820 to the nearest integer?\nAnswer: 3260","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = n + 3*i + 7, 0 = -n - 5*i for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1030 - 2?\nAnswer: 1022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppepqeepqqpee. Give prob of sequence pqe.\nAnswer: 25\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3690 + 32277. List the prime factors of t.\nAnswer: 3, 13, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 516*t**3 - 3*t**2 + 6*t - 4. Is j(1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 39*x**3 - 13*x**2 + 2*x + 17. Let m(d) = -5*d**3 + d**2 - 1. Let g(r) = 8*m(r) + y(r). What is g(-6)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**2 + 25*j + 92. Calculate the remainder when 1183 is divided by q(28).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 20 in 34539, -14, -0.1, -1\/4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -210 + 1?\nAnswer: -20a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 131 is divided by 51.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 2*k**2. Let m(j) = -416*j**2. Determine m(d(z)).\nAnswer: -1664*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vzzovvvvvv. What is prob of picking 2 v, 1 o, and 1 z?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**1*r*r\/(r\/(r**1\/r))*(r*r**(-2))\/r**(2\/9))**(16\/11) assuming r is positive.\nAnswer: r**(112\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -34 - -38. Sort 33, -1, a, 3 in decreasing order.\nAnswer: 33, a, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (7 + 0) - (-4 + -2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - 73479?\nAnswer: -73475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 58624 to the nearest integer?\nAnswer: 242","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 126240692.\nAnswer: 2, 31560173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14204 - 11492 - 22872 = 630*d for d.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4084 is divided by 1544?\nAnswer: 996","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 1247559?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**5*n*n*n*n**(-4\/3))\/(n\/n**7*(n**8\/n)\/n*n*n))**41 assuming n is positive.\nAnswer: n**(-533\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 110434 (base 8) to base 10\nAnswer: 37148","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2931524 is divided by 2026.\nAnswer: 1928","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 18*y + 3. Let j be m(9). Suppose -60 + j = 3*c. Let n = c + 25. Is 22 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5*((-26)\/(-24) - 23\/276)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 581 - 181. Let d = -400.013 + z. What is d rounded to 2 decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the first derivative of 4\/3*m - 10\/9*m**3 + m**2 + 6. Determine q so that c(q) = 0.\nAnswer: -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 1, -6, -10284 in ascending order.\nAnswer: -10284, -6, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 80 + -76. Suppose 0 = 4*k - 5*k + v. Solve -k*j - 5 = -5*q, -4*j = -0*j + 2*q - 30 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/(360\/(-88)))\/(2\/10)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/12 and 4 - 8337\/2340 - 5\/25.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 67648233?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 84614.25 kilometers?\nAnswer: 8461425000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 162 = -r, -12*w + 588 = 4*r - 13*w. Suppose 4*s - 151 = 3*m, s - 40 = 3*m - 0*m. What is the remainder when r is divided by s?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36094 is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4 - 1)*(21 + 13*p**2 - 21)*(128*p - 4*p**2 - 128*p).\nAnswer: -104*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 83855 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.0569 - -261.0569. Let n = 260.99999115 - a. Round n to 6 decimal places.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 429 + -54. Suppose -6*i = -5445 - k. What are the prime factors of i?\nAnswer: 2, 5, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*p - 98*p + 2291 = 731 for p.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 5, d: 7, o: 2, a: 3, e: 2, r: 1}. What is prob of picking 1 d and 1 o?\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -5*5*-3*sqrt(847)*-2)**2*6.\nAnswer: 99000*sqrt(7) + 114345150","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.4 + -16.4. Let t = 21 + q. Put -2\/7, t, -1 in descending order.\nAnswer: t, -2\/7, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that j**3 + 5*j**2 + 2*j - 8 = 0.\nAnswer: -4, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 18*b**2 + 7*b - 16. Let g(l) = 9*l**2 + 3*l - 8. Let x(r) = -r**2 + 3*r - 14. Let j be x(0). Let p(c) = j*g(c) + 6*f(c). Differentiate p(z) wrt z.\nAnswer: -36*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 388.819262 to the nearest 100.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 16649 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/8*(1040\/30)\/(-13). Suppose g*p - 107 = -a - 2*a, 3*p = 5*a - 210. What is the remainder when 116 is divided by a?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1242 greater than 1244?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -7*u - 7. Let l be f(-7). Let s be (-24)\/l*1\/4. Let q be (-35)\/(-40)*(-3)\/(-7) + 0. Put q, 5, s in descending order.\nAnswer: 5, q, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4 + 105\/9)*3. Let m be 15\/(-25) + f\/5. Let q(y) = 4*y + 2 + 3 - m. Determine q(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -410764504*f*w + 83093194*w - 2 wrt f.\nAnswer: -410764504*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 793745?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5023479 is divided by 392?\nAnswer: 391","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -24*v**3 + 2796*v - 2796*v + 57 as p*v**2 + u*v**3 + w*v + t and give t.\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -67676000 divided by -84595\nAnswer: 800","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 7 or -5861.454?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 11*b + 49619. Let i(j) = -j. Determine i(f(d)).\nAnswer: -11*d - 49619","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/9658 and 53\/3168.\nAnswer: 1390752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2c1e6a (base 15) to base 14.\nAnswer: -3d7403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1687 and 6?\nAnswer: 1693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*a**2 + 2*a**2 + 3*a**2 - a - 4*a in the form k*a**2 + n*a + y and give n.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 67, 95, 127, 169, 227, 307, 415?\nAnswer: 557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the second derivative of 0 + 8*c + 0*c**2 + 0*c**3 + 4\/3*c**4. Let k(x) = -104 + x + 104. Determine q(k(d)).\nAnswer: 16*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2430*c - 2 + 2 - 2424*c.\nAnswer: 6*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 233?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 199164525.\nAnswer: 3, 5, 7, 37, 10253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 381 + 343 = 2*b, 7*a - 1439 = -4*b. What is the remainder when 3301 is divided by b?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 126920465?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1314.6 + -1315. Let k be 10\/18 + (-4)\/18. Which is the nearest to 5? (a) d (b) k (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 2\/13, 1, -0.4, 1\/4, -0.235, 4, -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.11 + -0.11. Is -8 at most d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**2)**7)**(11\/3) assuming k is positive.\nAnswer: k**77","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 528 a multiple of 88?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -67 + 64 - (-1 - (-1 - 3)) - 4\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -34.775578 rounded to one dp?\nAnswer: -34.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.4, -12\/11, 2\/23?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2*(6\/8)\/1)\/(((-67275)\/(-5616))\/575).\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 845?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5540 = -179*w - 229*w + 2620 for w.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -24865 and -890.\nAnswer: 22129850","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 272 + -132. What is the tens digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3493671 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: Simplify (k**(-2\/5)\/k*k*(k*k\/(k*(k\/(k*k\/((k*k\/(k**32*k))\/k)))\/k))\/k*k\/(k\/((k\/(k\/((k**4\/k)\/k)))\/k))*k\/(k**(-37)\/k*k))**1 assuming k is positive.\nAnswer: k**(363\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 54148 and 363.\nAnswer: 19655724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -2*n + 1. Let s be o(-1). Let a(b) = b + 1. Give a(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is e4 - -1?\nAnswer: e5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -1354*n - 1351. Let r be b(-1). What is the second smallest value in r, -2\/7, 0, 4, 0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*c + 2*c**2 + 10*c + c + 2*c - c.\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*f = 13*f - 141. Let n = 252 + f. Is n a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that 2*n**3\/3 - 3980*n**2\/3 + 713962*n\/3 - 24972040\/3 = 0.\nAnswer: 47, 148, 1795","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 145501611 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2893, 2890, 2887, 2884, 2881?\nAnswer: 2878","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9, 5, 3, 3, 5?\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -1 - (43 + -46) - -1?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58 - 61 = -m. What is the highest common factor of 27 and m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 151.59 + -370664\nAnswer: -370512.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21 + 138*h**2 + 227*h**2 + 35 - 14.\nAnswer: 365*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -504*o + 3533. Let m be v(7). Let b = -3 - -7. Solve b*c - 28 = -f - 8, 4*f = -c + m for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -98.0441 - -98. Round z to two dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = g - 4*t + 4, 3*g + 2*t = 10. Suppose 0 = -k + g*k - 210. Round k to the nearest 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 5*m - 5. What is the units digit of k(3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90933223 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 32294*y**3 + 2 + 64590*y**3 + 1 - 32306*y**3.\nAnswer: -10*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1785 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -483 = -562*m + 539*m for m.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3883*q**3 + q**2 - 7 wrt q?\nAnswer: -23298","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d**5 - 321*d**4\/2 + 4209*d**3\/2 + 2349*d**2\/2 - 2187*d\/2 = 0. Calculate d.\nAnswer: -1, 0, 1\/2, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 266, 567, 866, 1163, 1458, 1751?\nAnswer: 2042","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -6*n - 30. Let p = -13 - n. Suppose 107 = -k + 6*k - p*y, k - 16 = -5*y. 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: Two letters picked without replacement from {s: 7, f: 1, d: 5}. Give prob of picking 1 s and 1 f.\nAnswer: 7\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6612 divided by -10.\nAnswer: -3306\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 456 and 2948800.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2187652 to two decimal places.\nAnswer: -0.22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((2600\/24)\/(-13) + -1)\/((-10)\/45). Solve -121 = -j*t - 457 for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*u**2 - 36*u**2 - 124*u**2.\nAnswer: -116*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1703ee (base 16) to base 2.\nAnswer: -101110000001111101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the third derivative of -u**5\/10 - 3*u**2. Let q be x(-1). What is the units digit of -1*((2 - 0) + q)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -742*81\/(-1512)*(-60)\/45\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 3*w = 3*m - 17, 4*w - 25 = -3*m. Let v(d) = 4*d**2 + 149. Let i(l) = 2*l**2 + 75. Let j(p) = w*v(p) - 7*i(p). Let c(s) = s. What is c(j(a))?\nAnswer: 2*a**2 + 71","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a microgram in nanograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 590, 819, 1202, 1739, 2430, 3275, 4274?\n\"Answer: 77*t**2 - 2*t + 515","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 455 + -656. Let o = -615 - s. Does 14 divide 2\/5 + o\/(-15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2047605005.\nAnswer: 5, 409521001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*i**3 - 120873 + 120873.\nAnswer: 9*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 q when two letters picked without replacement from xyyoqo.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 53667.433 to the nearest 10000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nz when two letters picked without replacement from {o: 1, q: 2, n: 1, a: 1, z: 1, f: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 104 + -92. Suppose o*s + 222 = 15*s. Let y = s - 72. Calculate the greatest common divisor of y and 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 0 + 3*p**2 - 3*p + 0. Suppose -48 = -4*c - 36. What is the units digit of m(c)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1158*o = 1176*o - 65790. Is o a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 - 14532005?\nAnswer: -14532005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.92 at least -51?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -2*g. Let n(z) be the first derivative of -11*z**5\/60 - 2*z**2 + 6. Let t(m) be the second derivative of n(m). Calculate u(t(p)).\nAnswer: 22*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -27 + 54. Suppose 21*o - 2412 = x*o. What is o rounded to the nearest ten?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 281359491?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -10*w - 62. Let q be a(-8). Calculate the greatest common divisor of 54 and q.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*a + 2880 = 119*a. What is the remainder when 358 is divided by a?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**3 + 6*d**2 + 6*d + 7. Let q be 6\/8 + (-184)\/32. Let n(c) = c**2 - 4*c - 50. Let f be n(q). Give k(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45659.\nAnswer: 45659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41815*r = 41938*r + 7626 for r.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18008952 and 3809586?\nAnswer: 198098472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -9 (b) -119 (c) -16\/5 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3721537 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/(2 + 30\/(-14)). Suppose 0 - f = -o. What is o rounded to the nearest ten?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*v - 20 = 17*v. Solve 0 = -2*l - v + 1 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*n + 5*z - 3*z, 20 = -4*z. Let s(k) = k - 1. Let r be s(n). Let v(g) = -g**3 + 12*g**2 - 3*g - 7. Is v(r) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -3 and -0.5285.\nAnswer: -3.5285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*l - 126 + 99 = 135 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 89261 or 124?\nAnswer: 124","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 340952 is divided by 47.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -2185, -4 in descending order.\nAnswer: 2, -4, -2185","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-4)\/((-12)\/(-113)))\/(2\/(-6)). Let t = z - -16. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -131481, -263176, -394871, -526566, -658261, -789956?\n\"Answer: -131695*c + 214","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*f + 1504 = -4*f. Suppose f = c + 104. List the prime factors of c.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 0, -j + 89276 = -k + 237435. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -128023.97 to the nearest ten.\nAnswer: -128020","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 100100221 + -10?\nAnswer: 100100211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -605 + 1227 + 15*y - 622 - y.\nAnswer: 14*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 709?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 80243 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 600 = -8*d + 3*d. Let t = -95 - d. What is the third derivative of -44*v**2 + t*v**3 + 14*v**2 + 8*v**2 wrt v?\nAnswer: 150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n. Let d(y) = y. Let a(z) = 3*d(z) + 4*w(z). Calculate a(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29724 is divided by 9905?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 234?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10.7193 - 182284.1807. Let d = a + 182296.1800059. Let q = d - 1.28. What is q rounded to six decimal places?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4173271723 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 360553 (base 7) to base 5.\nAnswer: 4040420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vzc when three letters picked without replacement from {c: 2, z: 10, v: 6}?\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -3*u**3 + 21*u**2 + 18*u - 6. Calculate f(8).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -551 - -327. Let z = y - -224. Solve -5*o + z*o = 10 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -217000 to the nearest one hundred thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - i + 1 = 0, -i + 0*i = g. Suppose -14*u + 15*u - 3 = 0. What is the closest to g in u, 0.1, 4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2, -12.\nAnswer: -12, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.452 + -0.048. What is the biggest value in m, -0.3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9562 = -y + 2*c, -3*c = 16*y - 15*y - 9567. What are the prime factors of y?\nAnswer: 2, 3, 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 58b03 - -549?\nAnswer: 59450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*90.\nAnswer: -450","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the first derivative of -x**4\/2 + 2*x**3\/3 + 7. What is the third derivative of b(k) wrt k?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -929.7 + 934.7. Which is the fifth biggest value? (a) -1 (b) -7\/16 (c) -2 (d) -0.4 (e) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 9 = -39. Let t = -5 - -10. Let q be 2\/t + (-176)\/k. Solve 2*y - 13 = 3*j, 0 = -y - y + 4*j + q for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(243) - 2*(sqrt(243) + 0) - (sqrt(243)*2 + 2))**2.\nAnswer: 108*sqrt(3) + 2191","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13232 and 12701893.\nAnswer: 827","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8 - (-5)\/((-55)\/(-3916)) is divided by 96.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the second derivative of -k**5\/20 - k**4\/6 + 2*k**3\/3 + 2*k**2 - 8*k. Calculate the remainder when a(-5) is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 19832017, 19831990, 19831965, 19831942, 19831921, 19831902?\n\"Answer: x**2 - 30*x + 19832046","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/(-1)*(-31)\/((-7533)\/(-567)).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fs when two letters picked without replacement from sssesssesfssn?\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -78 (b) 2 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 5 = 5*r, -u + 3*r = 3. Let z = u + 8. What is the third derivative of 4*s**z - s**3 - 2*s**2 - s**2 wrt s?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 756745345 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, w: 1, r: 3, a: 4, v: 5, y: 5}. What is prob of picking 1 a and 1 w?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 16 = 4*p - 6*u, -4*p + 2*u + 18 = 0. Let r be 0 + (p\/5 - 5). Let t be (11 - 1) + 3 + 10\/r. Is t equal to 11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.4 (b) 80 (c) 43836 (d) 29\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -32.79 - -33. Let f = 0.19 + k. Let n be (-2)\/(-3) - 12\/(-9). Which is the third biggest value? (a) n (b) f (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.28 rounded to the nearest one hundred?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -217*z = -112*z - 185*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 123699 = -4*d + 4*k + 40903, d + 2*k + 20702 = 0. Is d\/(-24) + (-1)\/2 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) 37 (c) -2\/13 (d) 1 (e) 1\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -4*k - 5. Let a(s) = -s. Let z(g) = -2*g. Let f(r) = 11*a(r) - 6*z(r). Determine y(f(p)).\nAnswer: -4*p - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 184*y**2. Let g(u) = -14*u. Calculate z(g(p)).\nAnswer: 36064*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1062 - -1066.968. Let a = -71.3 - -71.268. Let u = a - f. Sort u, -4, 1\/3 in descending order.\nAnswer: 1\/3, -4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v + 5 + 7. Suppose 0 = -v*c - c + 20. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -78 + 6?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -13 + -9353.\nAnswer: -9366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/62 equal to 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + (sqrt(68))**2)*3*3 - ((sqrt(153) + -1 + 5)*6)**2) + -1.\nAnswer: -5473 - 864*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 334935026?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 15, w: 3}. What is prob of picking 3 w and 1 j?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 64364 - 45745. What is the hundreds digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**2 + 5*y + 1. What is f(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 529316206.\nAnswer: 2, 3943, 67121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*m**5 + 41*m**2 + 77*m wrt m?\nAnswer: 40*m**3 + 82","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 367773711 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n**5\/3 - 10*n**4\/3 - 4118*n**3\/3 + 106948*n**2\/3 + 226205*n\/3 + 115150\/3 = 0. Calculate n.\nAnswer: -70, -1, 35, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 124 + (-2)\/(2\/2). Suppose -68 = -3*b + 2*m, -s + 4 = -5*b + m. Let d = 40 + -24. What is the greatest common divisor of d and b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(35) + sqrt(35))\/sqrt(5) + sqrt(7) - (2 + (sqrt(7) - sqrt(21)\/sqrt(3))))**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*q**2 - 36*q**3 - 35 + 6*q**2 - 11 + 69 in the form l + j*q + w*q**3 + k*q**2 and give w.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.00374 + 7756511.\nAnswer: 7756510.99626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 h, and 1 c when three letters picked without replacement from {c: 2, m: 1, h: 2, t: 4}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 492 = -21*b + 177 for b.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 (base 10) in base 12?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -305 * 3\nAnswer: -915","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.780385451 rounded to 4 dps?\nAnswer: 0.7804","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-8)\/(-16))\/((-2)\/(-4)). Solve 7 - q = 2*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -408*l - 442*l - 236*l.\nAnswer: -1086*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1270361 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 49*r - 40*r**2 + 18*r + 42*r**2 to s*r**2 + w*r + l and give w.\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -16*r**2 + 6*r - 9. Let c(p) = -9*p**2 + 3*p - 4. What is 9*c(u) - 4*m(u)?\nAnswer: -17*u**2 + 3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 27 + 33 = 0. Let g be (3\/(-2))\/(s\/16). Let x be ((-3)\/8)\/(9\/30). Do x and g have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -1*633*(-110)\/330?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1827090.67 rounded to the nearest 1000?\nAnswer: 1827000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -43 + (-31 - -43) + -11?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 4*q = 16, -5*q = 5*x - 3*q - 8. Solve 0*m + 4*m + 20 = x for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes after 11:21 AM?\nAnswer: 11:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -4*w**3 + w**2 + 11*w - 20. Give q(2).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 - ((-37)\/7 + 5 + 1). What is the closest to z in -0.06, 0.2, -2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 128*d**3 + 2688*d**2 - 29*d - 71. What is w(-21)?\nAnswer: 538","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -48.04716 rounded to one dp?\nAnswer: -48","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes before 3:03 PM?\nAnswer: 12:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**3 - q**2 + 1. Let i(k) = 4*k**3 - 2*k**2 + 2. What is -3*i(y) + 6*l(y)?\nAnswer: -6*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -2, 1.52, -1, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17766 + -9852. What is the hundreds digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in -0.1, 42, 2\/11, -2\/7, 0.165?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes before 6:38 AM?\nAnswer: 3:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o - 1. Let l be q(5). What is the third derivative of 243*d - 243*d - 12*d**3 - l*d**2 wrt d?\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23 + 1 + (47 - 40 - 3)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1\/4, 2, -1518, 1, 0.3 in decreasing order.\nAnswer: 2, 1, 0.3, 1\/4, 0, -1518","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -246.2 - -242.2. Which is the nearest to -0.2? (a) -0.02 (b) 0.5 (c) 0.1 (d) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*g**2\/2 - 45*g\/2.\nAnswer: -5*g*(g + 9)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2 from -1424555482066310.\nAnswer: -1424555482066308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-50)\/(-18)*(-1074)\/(-895)?\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-72)\/12*3\/(-8)*3\/18\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 61049710 to the power of 1\/2, to the nearest integer?\nAnswer: 7813","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 151*b + 29459. Determine i(-195).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18951010, -37902089, -56853170, -75804253, -94755338, -113706425, -132657514?\nAnswer: -151608605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 - 0)\/(-1 + 2). Suppose 5*a = -u*a + 2*j + 19, 3*j - 24 = -3*a. Suppose 5 + a = 5*c. Solve -r = c*r - 15 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:33 AM and 12:02 PM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 + -145?\nAnswer: -147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 26 - a?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12954 and 68.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -8.563 and -50.\nAnswer: 428.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*f - 20200 = -16*f. Sort 3, -0.2, f, -1 in ascending order.\nAnswer: f, -1, -0.2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ni when two letters picked without replacement from {i: 1, n: 2, h: 1, b: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 285 = 10*v - 205. Is 3 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**3 - i**2 + 7*i - 2. Let h be x(2). Solve 2*r + r = h for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*b**5 + 5*b**5 - 3*b**5 + 3*b**3 + (-3*b**2 + 0*b**2 + 5*b**2)*(b**3 - 6*b**3 + 3*b**3) - b**5 - 4*b**5 + 3*b**5.\nAnswer: -2*b**5 + 3*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 261?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 41651 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6713 - 167769\/25. Which is bigger: w or 2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v + v - 2*m - 1 = 0, 2*m = -5*v - 7 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/9 - 4\/(-6). Let l be 3*(-2)\/4*2. Put 1, u, l in increasing order.\nAnswer: l, u, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 222203?\nAnswer: 23, 9661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 8*l - 3*l - 51 - 57 + 7 + 26*l wrt l.\nAnswer: 31","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77 + 26 = 3*n + 23*b, n + 1984 = -b + 1985 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**2 + 5*o - 6. Let v be r(3). Let w = v - -8. What is the lowest common multiple of 5 and w?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 474397 and 147.\nAnswer: 9962337","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Put -57, -0.5, -0.05805, 0.5 in increasing order.\nAnswer: -57, -0.5, -0.05805, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*j**4 + 3*j - 5*j**4 - 5*j + 4*j**4 + 11 to t*j**2 + a*j**4 + l*j**3 + s + i*j and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 2*u**2 + 3*u + 3. Let q be h(-2). Let k(g) = -3 - 1 - q + g. Determine k(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2 - 2*g**3 + (-4*g + 4*g - 9*g**2)*(2*g - 3 + 3).\nAnswer: -20*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 20.599898 + -20.6. What is f rounded to 6 dps?\nAnswer: -0.000102","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((t\/(t**(1\/4)\/t))\/t*t*t*t*t*t)\/t)\/t)**8*t**9\/(t\/t**(-2\/7)) assuming t is positive.\nAnswer: t**(264\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 544 - 539. Suppose -i - d = 0, -5*i + 8*i + 4535 = 5*z. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 35 = 5. What is the common denominator of 519\/(-180) + 2\/(-3) and (-1)\/(-15)*(-1356)\/p?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 411 - 397. Let f(z) = -n + 6 - 64*z**2 - 5*z**2 + 8. Let l(a) = -2*a. Give l(f(j)).\nAnswer: 138*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -54 - -71. Factor u*l**5 - 28*l**5 + 3*l**3 - l**2 - 4*l**3 + 12*l**5 + l**4.\nAnswer: l**2*(l - 1)*(l + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes after 9:53 PM?\nAnswer: 11:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**3 - 3*k**2 + 5*k + 3. Let b be d(-4). Let v be (3 - 3 - b) + -4. Sort v, -2, -8 in increasing order.\nAnswer: -8, v, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (9 - (2 - -2)) + -14?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 - 2. Solve -r*u = -2*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 24339964?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18046899 and 234?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 776*t - 749*t - 19332 = 0. Does 33 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -n**4 + 3*n + 8*n - 6*n + (-4*n + 3*n - n)*(-177*n**3 + 18*n**3 - 31*n**3).\nAnswer: 379*n**4 + 5*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 4 (b) -92 (c) -2\/5 (d) -4 (e) -0.5 (f) -3\/8\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kqke when four letters picked without replacement from {k: 3, q: 1, e: 3}.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**3 + 7*x**2 + 7*x + 7. Let w(b) = b**3 + 11*b**2 + 9*b - 2. Let p be w(-10). Let a be s(p). Let o(u) = -5*u**3 - u - 1. Calculate o(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = -13*p + 96. Suppose 2*u = -p*b + 83590, -12*b + 15*b = -3*u + 62685. Round b to the nearest one thousand.\nAnswer: 21000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 10*i**3 - 216*i**2 - 75*i - 157. Determine l(22).\nAnswer: 129","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -35*r**3 - 3*r**2 + 1. What is n(1)?\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -24 + 23.9. What is the closest to c in 0.3, 1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -26 + 33. Let t(l) = l - 4. Give t(s).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 - -4266550?\nAnswer: 4266545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(200) + 0 - sqrt(200))**2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -14188*c + 808710. What is d(57)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 992 and 2728.\nAnswer: 10912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(50) + (sqrt(50) + -4)*-3 - (sqrt(250)\/(-4*sqrt(5) - sqrt(5)))**2)*-2)*4.\nAnswer: -84 + 80*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 590 and 17818.\nAnswer: 89090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 2*v = -11, -3*j + 30 - 13 = v. Factor -1\/4*o**j - o**4 - 3\/2*o**3 - o**2 - 1\/4*o + 0.\nAnswer: -o*(o + 1)**4\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 11, c: 5}. Give prob of sequence bbbc.\nAnswer: 165\/1456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 981 is divided by 485.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 85880 and 452.\nAnswer: 452","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 6120.23ml?\nAnswer: 6.12023","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-64)\/(-6) + 6\/(-9). Let n = 13 - b. What is the remainder when n*(0 + (3 - 1)) is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 172531, 345014, 517481, 689926, 862343, 1034726?\nAnswer: 1207069","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 527 - 521. Which is bigger: i or 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*i + 4*i + 102258 = 5*i. What are the prime factors of i?\nAnswer: 2, 3, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*i - 13*i = -37*i - 8 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1027c - -2?\nAnswer: 1027e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**3 + q**2 + 1. Let g be w(0). Let m be 2\/(-6)*(-19 + 4). Suppose -3*t - 2*c + 16 = -0*t, 4*t - m*c - 6 = 0. Sort g, -4, t in decreasing order.\nAnswer: t, g, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 (base 6) in base 10?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 197005399?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-9)\/(-2))\/(21\/28). Calculate the highest common divisor of s and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -269.685 take away -33649?\nAnswer: 33379.315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 4.479572 millimeters?\nAnswer: 4479.572","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 139364 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x**3 - 102*x**2 - 195*x - 96 = 0 for x.\nAnswer: -32, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 3*w + w + 8 = 0, -i - 4*w = -16. Suppose 0*b = 4*b + 3*n - 163, i = 2*b - n - 79. What is the units digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the second derivative of d**3\/3 + d**2 + 2*d. Let u(h) = -59*h + 58*h - 128 + 125. What is 3*j(n) + 2*u(n)?\nAnswer: 4*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1\/10 of a century?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**2 - 15*d - 14. Let n be x(16). What is the nearest to -2\/7 in n, 5, 12?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-7 - -3) + 0 - -392 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -26\/34105 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes before 7:03 AM?\nAnswer: 7:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -22 and 28.\nAnswer: -616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1990, 2476, 3744, 6184, 10186, 16140?\n\"Answer: 65*d**3 + d**2 + 28*d + 1896","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s = -3*n + 105, -n + 3710 = -2*s + 3644 for s.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the second derivative of 11*x**4\/2 - 4*x**3\/3 - 21*x**2\/2 - 8*x. Is l(-4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b + 14 - 86. What is the remainder when 52 is divided by b?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -3*f - 24. Let d be j(-6). Let b(o) = -17*o - 12. List the prime factors of b(d).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 271 - 823.5161372?\nAnswer: -552.5161372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, m: 3, o: 1, p: 3, b: 2}. What is prob of sequence bpb?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 take away 361.49?\nAnswer: -371.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38595 divided by -5.\nAnswer: -7719","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 4*c**2. Let p(a) = -515*a**2. Calculate p(d(r)).\nAnswer: -8240*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*t**4 - 7118304*t**3 - 3166890739776*t**2 = 0. Calculate t.\nAnswer: -889788, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*a**2 - a - 4*a**2 + 7*a)*(105*a + 114*a - 244*a).\nAnswer: -50*a**3 - 150*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*y = -227 - 168 - 523 for y.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z = -2*f + 39, -28697*f + 4*z - 52 = -28696*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -624.5 - -624. Which is the smallest value? (a) l (b) -4 (c) 250\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 6*z**3 + 4*z. Let a(c) = -8*c**3 + 3. Let u(i) = -i + i + 26 - 17*i**3 + i - 19. Let w(s) = 7*a(s) - 3*u(s). Determine -3*m(n) - 4*w(n).\nAnswer: 2*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 95398303573 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 p when two letters picked without replacement from pkkkmkmmpkmm.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 5*u - 5*r + 3, 3*r = 4*u + 29. Suppose -d = k + 7, 0 = -k + d - 232 + 233. Put k, u, -5 in increasing order.\nAnswer: u, -5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 463284?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from {y: 3, v: 9}.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -322243, -18 in ascending order.\nAnswer: -322243, -18, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 50 = 2*k - 14, 5*k + 4*r = 115. Calculate the remainder when k is divided by 17.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v - 10. Let a(x) = -2 + 3 - 2. Let f = 79 + -68. Suppose f = -z - 5*m, 0 = 2*z - m + 87 - 76. What is z*a(r) + b(r)?\nAnswer: r - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*q**3 + 14 - 3*q**4 - 14 + 2*q as a*q**2 + x*q**3 + j*q + z + b*q**4 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -26\/3 - -8. Put j, 1, 0.4 in decreasing order.\nAnswer: 1, 0.4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 279.2 - 279. Which is the nearest to 1.2? (a) -5 (b) -4\/3 (c) q (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/5 - (36\/30)\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 2*c + 20, 20 = -3*c - 8*h + 9*h. Is (-6546)\/(-8) + 2\/c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 - 5)*(159*c**2 - 25*c - 160*c**2 - 1692 + 26*c)*(-3*c**2 - 3*c**2 + 4*c**2).\nAnswer: -4*c**4 + 4*c**3 - 6768*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 7653285 divided by 6?\nAnswer: 2551095\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the third derivative of -b**9\/12096 + b**8\/20160 - b**6\/720 + 7*b**5\/60 - 3*b**2. Let x(a) be the third derivative of o(a). Calculate x(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10 - -17. Suppose x = 2*r - 3. Suppose -2*s**4 + 6*s - 2 + 0*s + 8*s**r - 4*s + 6*s - 16*s**3 + 4*s**2 = 0. What is s?\nAnswer: -1, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.15*5.\nAnswer: 0.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 + (-4 - 12) + 9 - (29 + -12).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + 4*r - 23371 + 23372 = 0, 4*k - 2*r - 32 = 0 for k.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -108\/11, -5\/9, 0 in decreasing order.\nAnswer: 0, -5\/9, -108\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**3 + 103*q**2 - 226*q - 23207. Give v(-103).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 11851, 11878, 11933, 12010, 12103?\n\"Answer: -b**3 + 20*b**2 - 26*b + 11858","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f*f\/(f\/(f\/(f*(f*f*f*f**(-1))\/f))*f)))\/(f**(-1\/18)\/f))\/(f\/(f\/(f**0\/f)*f*f))**(2\/7) assuming f is positive.\nAnswer: f**(493\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -2*x - 5. Let c(z) = z**3 - 5 + 0*z**3 - 8 + 11 - 7*z**2 + 11*z. Let y be c(6). Suppose 2*d + y = -5*d. Let t(b) = b + 2. Calculate d*q(r) - 9*t(r).\nAnswer: -r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*4*((-1 + (sqrt(2299) - sqrt(2299)*3))*-4)**2.\nAnswer: 11264*sqrt(19) + 2354432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7618369?\nAnswer: 11, 67, 10337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 511.49 and 2.\nAnswer: 1022.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 0*w - 4*w + 56 = 0, -13 = -2*y + w. Let m(q) = -q + 9. Let b be m(y). Suppose 5*d - 2*z = 521, b*d + 4*z + 412 = 4*d. Is d a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -11*l. Let t(v) = 61*v - 118. Let k be t(2). Suppose 4*c + 0 = -64. Let i = 26 + c. Let d(y) = 5*y. Calculate i*d(x) + k*g(x).\nAnswer: 6*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 682 is divided by 33?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0.4, -2 in increasing order.\nAnswer: -2, 0.4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 82*m**3 + 279 - 84 + 352 + 131*m**3 + 282 wrt m.\nAnswer: 639*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.5 - 0.4. Let d be 2\/(-6) - 2345\/(-60). Let b = 38 - d. What is the closest to 1 in z, -5, b?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-1 + sqrt(500) + 5).\nAnswer: 20 + 50*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24 - (-43 - (-118 - -41)) - (-1 + -35)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, 8\/9, -3\/881 in decreasing order.\nAnswer: 20, 8\/9, -3\/881","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 16 = -4*v, -4*v = -4*c - 50 + 6. Let b be (-69)\/(-21) - 2\/v. Suppose -b*q = -j - 6 - 5, 0 = 5*q - 20. Which is smaller: j or 2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 2*v**2 - v - 4. Give a(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76 = -3*n - 319. Let z = 120 + n. Let o = z - 36. Solve 2*p - o = 1 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 2 k when three letters picked without replacement from {m: 8, k: 4, q: 1}.\nAnswer: 24\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 138848415.\nAnswer: 3, 5, 9256561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.019620968*5\nAnswer: -0.09810484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1688 is divided by 114.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -0.2, 0.1, 2\/5 in ascending order.\nAnswer: -3, -0.2, 0.1, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 493.\nAnswer: -2\/493","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25429 is divided by 310.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.87 + 0.47. Which is the biggest value? (a) v (b) -10.9 (c) -3 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -6 + 456\/72*(1 + 0). Let a(c) be the second derivative of 27*c - i*c**3 - 1\/2*c**2 + 0. What is a(1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(1\/3)\/s*s)**39*(s*(s\/(s**(-1)\/s))\/s*s)**(-30\/13)*(s**(4\/5)*s*s**(3\/8)\/s*s)\/(s**(2\/7)*s*(s*s*s\/(s\/s**(-5\/6)))\/s) assuming s is positive.\nAnswer: s**(49051\/10920)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-7\/2)*q**(4\/7))\/(((q\/q**(-7))\/q)\/((q\/(q**(1\/13)\/q))\/q))*(((q*(q**7*q*q)\/q)\/q)\/(q*(q\/(q**(7\/5)\/q*q))\/q))\/(q**2)**(-41) assuming q is positive.\nAnswer: q**(74069\/910)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -81 * 0.0591142\nAnswer: -4.7882502","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s - 15 = s. Solve f + 2*f = 2*a + 5, s*a = -4*f - 16 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 62*v + 1 + 9459*v**2 - 63*v - 9582*v**2 to l + m*v + r*v**2 and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 1\/6, 1, -237, 2 in descending order.\nAnswer: 6, 2, 1, 1\/6, -237","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -7, 0, 10\/1513?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-33\/7)\/o**(3\/14) assuming o is positive.\nAnswer: o**(-69\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 14 = 2*m, m - q + 29 = 6*m. Suppose -27 = m*t + 18. What are the prime factors of 0 + 0 - (6 + t)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 138, 191, 258, 345, 458, 603, 786?\n\"Answer: v**3 + v**2 + 43*v + 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12020\/114551 - -2\/6029. What is the closest to -2\/9 in d, -3, -0.07, -2?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 - (-1 - -1))\/(-2). Let q = x + 12. What is the greatest common divisor of 108 and q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.02*51489.\nAnswer: -1029.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 14? (a) -1\/3 (b) 3879.8 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -3*w + 9, -x + 6 = -w + 3*w. Suppose 50*d = 52*d - 16. Suppose 52 = d*h - 4*h. Solve -5*b - 7 - h = x for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes before 4:52 PM?\nAnswer: 5:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p - 4*m + 30177 - 194821, 2*p + 2*m - 65836 = 0. What is the hundreds digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*i = -3*y + 66, 4*i - 4*y + 691 = 619 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2554736366 to the nearest integer?\nAnswer: 50544","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 - n + 0*n + 3*n - 2*n + 20 - 20 - 2*n + 1 + n - 1 - n + n - 2*n + (n + 0*n + 0*n)*(-4 + 1 + 2) + 0 + 0 - 2*n.\nAnswer: -6*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**2 - 4*b + 3. Let g be l(-5). Let v(u) = -2*u**3 + 4*u**2 + 2*u - 2. Let t be v(g). What is the highest common factor of t and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 + 4. Let o = 3 + x. Suppose 0 = c, -26 = 2*f - 4*f + o*c. What is the remainder when f is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3530?\nAnswer: 2, 5, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -145*n. Let h(l) be the third derivative of 0*l**3 + 0 + 0*l + 1\/8*l**4 + 59*l**2. What is f(h(b))?\nAnswer: -435*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000013926856 rounded to seven decimal places?\nAnswer: -0.0000139","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7 and 4109.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -715 < -26500\/37?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30766 is divided by 2355.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the second derivative of -21*v**3 + 21*v**2\/2 - 1319*v. Let l(q) = 25*q - 4. Give -21*l(k) - 4*u(k).\nAnswer: -21*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the first derivative of i**3\/3 - 2*i**2 - i + 4. Let a(l) = l**3 + 18*l**2 + 75*l - 19. Let y be a(-11). Determine j(y).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2424*a - 179357 = -2257*a + 293424 for a.\nAnswer: 101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes before 4:34 PM?\nAnswer: 9:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -16 - 24. Calculate the least common multiple of 20 and b.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00017367116 rounded to six decimal places?\nAnswer: 0.000174","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 213, 7, -12 in ascending order.\nAnswer: -12, 7, 213","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1872)*-5*5)**2 + (sqrt(1872) + 0 - sqrt(1872))*3.\nAnswer: 1170000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) -50 (c) -2 (d) 1805\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 139*w**3 + 21*w**3 + 34*w**3 - w**3 - w**3 + w**3 + (3*w - w + 0*w)*(-2*w**2 + 5*w**2 - 2*w**2) - 2*w**3 + w - w - 2*w**3 + 9*w**2 + 0*w**3 + 3*w**3.\nAnswer: 194*w**3 + 9*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -121210122120 (base 3) to base 7.\nAnswer: -2545113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 25*u - 210. Give g(7).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -151 + 135. Let k be 1\/2 - (24\/v)\/(-3). Suppose k = -8*o + 22*o - 1372. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2270460821 rounded to the nearest 1000000?\nAnswer: -2270000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 554828 - 554536.299. Let i = -293.2 + u. Let v = i - -0.059. What is v rounded to 1 dp?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nphyynihipknnk. Give prob of sequence yp.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 199490683?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 - 4. Suppose 2*s + 16 = -g*s. Let t be ((-2)\/s + -1)*-10. Solve -t*n + 29 = -4*u, u = -3*n - 2*u + 12 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*v**2 + 6*v**2 - 11*v**2 as i + f*v**2 + p*v and give f.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -18 (base 13) to base 7.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 133 times -0.1252392?\nAnswer: -16.6568136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 86588 to the power of 1\/2, to the nearest integer?\nAnswer: 294","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 417 a factor of 1120226?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -21*t**3 + 11*t**2 - t - 26. Let b be -6*(55\/(-15))\/11. Let v(u) = 4*u**3 - 2*u**2 + 5. Give b*i(z) + 11*v(z).\nAnswer: 2*z**3 - 2*z + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 - 6 + 1 + 21*d to the form k + r*d and give r.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -15*c + 244. What is g(0)?\nAnswer: 244","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 62840932 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i*i\/i**(-10)*i**(-1\/16))\/(i**2)**(1\/5) assuming i is positive.\nAnswer: i**(1003\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*b = 192*b - 51858. Solve -245*z = -b*z + 13 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 (base 6) in base 13?\nAnswer: c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 28 + -12. What is the highest common divisor of 40 and o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 20877, 41498, 75867, 123984?\n\"Answer: 6874*a**2 - a + 14004","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v. Suppose -3*t - 3*s - 6 = 0, 0*s - 3*s - 16 = -2*t. Let n(c) = 0*c**t + 0*c**2 + c**2. Give i(n(b)).\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/8 of a day in minutes?\nAnswer: 8100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence psps when four letters picked without replacement from upuuspuususuuuu.\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w + 21. Let i be b(-16). Suppose i*r - 45 = -3*x, -3*x - 2*x = 2*r - 56. What is the remainder when 27 is divided by x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 103 + -87. Suppose -4*r + 4*m + a = 0, 0 = -0*r + r + 4*m - 4. Differentiate 17*g - r - 1 - g - 3 wrt g.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -6*h**2\/5 + 4432943*h\/5 - 738823 = 0?\nAnswer: 5\/6, 738823","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 936*g - 1543*g = -751*g + 10080 for g.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2168?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 118 + -124 - (0 + -3) - -9?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6135084 and 6135084.\nAnswer: 6135084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/(-2)*(150\/(-12) + 13). Let n = 12.96 + -13. Let z = -3.04 - n. Sort -21, z, f in descending order.\nAnswer: f, z, -21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 - -35. Let c = a - 2. Does 17 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 307 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 24 - 10 + s**2 - s**3 + 27*s - 6*s**2 + 0*s**2. List the prime factors of v(-11).\nAnswer: 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 1332?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000007911017796 to 6 dps.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**3 + 32*w**2 - 26*w + 586. Is c(-29) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6630\/(-260) - (-10)\/4.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-21)\/7)\/18*4.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(-1 + -1) + 4 - 37. Let y = c - -52. Is y a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-4)\/(-5))\/(1\/5). Let f(n) = -n**2 - 7*n - 7. Suppose 2*y - 7 + 17 = 0. Let k be f(y). Solve 8 = 2*h + k*r + 22, -2*r - d = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:46 AM and 4:39 AM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 399 and 777?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 4*r + 9 = 0, 0 = -3*z + 5*z - r. Let v be 1\/z + (-3)\/5. Which is greater: -1 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttl when three letters picked without replacement from lttttttttttttttttt.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 365142 is divided by 24330.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 444303931?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*p**3 - 8*p**3 + 22*p**3 - 15*p**3.\nAnswer: -15*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 228126 and 1544.\nAnswer: 386","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (16 + -15)\/(1\/(-5)*-1). Suppose -c + 4 = 8, -b*g + 180 = 5*c. Is g a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 + 8. Suppose q*g = g + 3*s + 15, -3*g - 4*s + 6 = 0. What are the prime factors of g?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 126061 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 101*j**2 - 4*j + 3. What is the units digit of l(1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0196 + -210691784\nAnswer: -210691783.9804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((sqrt(1188) - (sqrt(1188) + sqrt(1188)*1))*-1)\/(-5*2*sqrt(1100)))**2.\nAnswer: 108\/625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = -w + 41, -2*w = -4*r + w + 48. Let d = -7 + r. Suppose -s = d*s - 69. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/(-4) - (-28)\/16. Put 5, v, -5 in ascending order.\nAnswer: -5, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26973 - 26933 = 5*l + r, 3*l - 2*r + 54 = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**3 + 8*j**2 + 21*j + 210. What is the lowest common multiple of m(-8) and 56?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 862446 a multiple of 801?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -5141 (base 13) in base 6?\nAnswer: -123515","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**2 + q + 30. Let a(d) = 15*d + 87. Let w be a(-7). Does 12 divide b(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8901 - -8901. Put -1\/7, 1\/13, a, -0.4, -2 in decreasing order.\nAnswer: 1\/13, a, -1\/7, -0.4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/(-12) - (-429)\/4. Suppose 0 = 106*y - 105*y + a. Let l = y + 120. Is l a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/15 + 23\/(-5). Let j be 7\/4 + (-2)\/(-8). Which is the nearest to j? (a) n (b) 1\/8 (c) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 438*w**5 + 8*w**2 - 27*w**3 + 15*w**2 + 31*w**2 - 6*w**4 - 435*w**5.\nAnswer: 3*w**2*(w - 3)*(w - 2)*(w + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**3 + 21048*b**2 - 899385*b - 920436.\nAnswer: -3*(b - 6973)*(b - 44)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 34*u - 28*u - 4026. What is the tens digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (276978\/(-2968) + 93)\/((-6)\/(-8)) - 58\/(-126).\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -47*h - 6. Let p(o) = 47*o + 10. Determine -3*p(j) - 4*r(j).\nAnswer: 47*j - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -1548.74 to the nearest 10.\nAnswer: -1550","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 - -2.6. Let l = 211.5 + -211.2. Which is the second biggest value? (a) -2 (b) l (c) y (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*k + 359 - 69. Suppose 3*l - k = -2*m, -29 = 2*m - 3*l - 76. Calculate the remainder when m is divided by 13.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) 1 (b) -1\/3 (c) -1 (d) 1.9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.199944 litres?\nAnswer: 199.944","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -45*t**4\/4 - 5735*t**3\/4 + 152490*t**2 = 0.\nAnswer: -1768\/9, 0, 69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 417 - 355. Suppose 3*s + 7*k - 77 = 6*k, 2*k + c = 3*s. Calculate the lowest common multiple of 12 and s.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -81, -78, -77, -78, -81, -86?\n\"Answer: -c**2 + 6*c - 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -980\/9 + 109. Let i(p) be the second derivative of 0 + n*p**3 + 2*p + 1\/6*p**4 + 0*p**2. What is c in i(c) = 0?\nAnswer: -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 255458544 a multiple of 4587?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5761206 = 13*r + 21764206. Round r to the nearest 100000.\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c**5\/4 - 3003*c**4\/2 + 404031*c**3\/4 - 1887978*c**2 + 6387807*c - 6007764 = 0.\nAnswer: 2, 28, 37, 1933","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -2097 divided by -170?\nAnswer: 2097\/170","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 24 + -24. Solve 21 = -3*o + 3*t, m = -2*o - t - 0 - 2 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -191 + -2?\nAnswer: -193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -9211 greater than or equal to -56768?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000460946 rounded to six decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 + -14. Let x = n + 23. Let -i - 8*i**x - 4*i**3 + 10*i**3 + 9*i**2 - 5*i + i**2 - 2 = 0. Calculate i.\nAnswer: -1, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 49488 and 214448.\nAnswer: 643344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -11912.5 * -55\nAnswer: 655187.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 30422264 divided by -7605566\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -39073 (base 10) to base 13.\nAnswer: -14a28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that c**5\/2 + 19*c**4 - 3*c**3\/2 - 58*c**2 - 38*c = 0.\nAnswer: -38, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -22769526.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dm when two letters picked without replacement from imghgiwwmhimidmii.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j*(j\/(((((j\/j**11)\/j)\/j*j)\/j)\/j))\/j)\/j)\/j)**(-13) assuming j is positive.\nAnswer: j**(-169)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22 + 23 - 40 + 18 - 30*z - 23.\nAnswer: -30*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(704) + sqrt(704) + 0 + 1 - (sqrt(704) + 1*sqrt(704) + -3))**2*-3 + -4).\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y - 3*y = 0. Let b be (-3 + 0)*(y - 2). Is 3\/9 - (-148)\/b a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 77*r**2 + 1026*r - 1940. Calculate c(-15).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l - 25 = -19*g + 14*g, -4*g + 16 = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75 = 2*b + b. Let v = b + 28. Solve -5*u - v = 4*k, 2*u = 3*k - 4*k for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 242665411 to the power of 1\/2, to the nearest integer?\nAnswer: 15578","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7394522*h**3 - 14789049*h**3 + 7394524*h**3.\nAnswer: -3*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -191*j - 794. What is g(-4)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**3 - 5*n**2 - 5*n - 7. Let r be x(6). Let l = -8.492 - -5.492. What is the smallest value in 1, l, r, -2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 26 - 4 - 10 - (2 + 14) - -67.\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/621)\/(30\/405).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 107*n**3 - n**2 + n - 7 - 2*n - 106*n**3. Give m(0).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 4, e: 2, g: 1, z: 4, a: 2, t: 1}. Give prob of picking 2 a and 1 g.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 5 - (-2 + 6) - 1*-2501?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10015 less than -1225?\nAnswer: 8790","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -2*t**3 + 3. Let l = 449 - 449. Let k be w(l). Solve -k*d - 9 = 3*j, 0*j + 2*j = -5*d - 18 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-450)\/20*(-28)\/70\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 93102 is divided by 3204?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 161\/(-12*(-18)\/5832). Calculate the highest common divisor of r and 216.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -9 + 238*h + 1 - 12. Let j(x) = -1. Let y(u) = 4*j(u) - o(u). What is the derivative of y(i) wrt i?\nAnswer: -238","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**4 - 930*f**3 - 8589*f**2 - 7656*f.\nAnswer: 3*f*(f - 319)*(f + 1)*(f + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*p + 7*p + 5 = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -17588, -35043, -52504, -69971, -87444?\n\"Answer: -3*w**2 - 17446*w - 139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 108 + -1186\/11. What is the closest to -1\/4 in -1, v, -8?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -150477014, -150477012, -150477010, -150477008, -150477006, -150477004?\n\"Answer: 2*d - 150477016","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -6086*t - 67203. Calculate r(-11).\nAnswer: -257","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1125) - (sqrt(1125) + sqrt(1125) + -5*(1*sqrt(1125) - sqrt(1125)) + sqrt(1125)))\/(5*-2*sqrt(225))*1.\nAnswer: sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a century in months?\nAnswer: 1050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*x**2 - 2*x**2 - 5*x**2 + 229 + 242 - 468 + 2*x**2.\nAnswer: -7*x**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 804 divided by 44\nAnswer: 201\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 112*s = 5*p + 3820 - 129, 3*p + 30 = s for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:11 AM and 10:32 AM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*-1*sqrt(170))\/(-3*sqrt(360)))**2 + 0 + (2*sqrt(102)*-1)\/(sqrt(36)\/sqrt(24)).\nAnswer: -4*sqrt(17) + 17\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5181*s - 9208*s + 4594*s.\nAnswer: 567*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*-5*(2 + sqrt(80)) + 3.\nAnswer: -60*sqrt(5) - 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17411738 is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 22*r + 10 - 14 + 32*r**4 + 3 + 3*r**4 wrt r.\nAnswer: 420*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**2 + 153*p + 4026. Determine g(-34).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -877273 or -877276?\nAnswer: -877276","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rb when two letters picked without replacement from rrrbrrbbbbbrr?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 11432168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 320961, 1283824, 2888589, 5135256, 8023825, 11554296, 15726669?\nAnswer: 20540944","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 20*w**2 - 684*w**3 - 55*w**2 - 2580*w + 35*w**2 + 636*w wrt w.\nAnswer: -4104*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 370 divide 9426607?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -74*o*s**2 - 8*o*s - 4*o - 118*s**3 - 27*s**2 + 61642*s wrt s?\nAnswer: -148*o - 708*s - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -3*b**2 + 144*b - 61. What is f(47)?\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 + 39 = -2*k + 2*a, 200*k - 197*k = 5*a - 62 for k.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**2 - 24*a - 3. Let d(o) = o**2 - 16*o - 2. Let p(m) = 6*d(m) - 4*k(m). Let n(s) = -10581*s. Calculate p(n(f)).\nAnswer: 223915122*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 526*c - 21550. Give y(41).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 14 = -7*c + v, -3*c - v = -7. Let j(q) = 0*q + 20 + 3 - c - q. Let s be j(11). Solve 2*o + n = 4*n - s, 34 = 3*o + 5*n for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from avxfzwxa. Give prob of sequence vx.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -589704.7 rounded to the nearest ten thousand?\nAnswer: -590000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -56 - -21 - -35 - 16\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**3 + 36*i**2 + 262*i - 415. Let t be p(42). Solve t*b + 145*q = 140*q - 15, -5*b + 3 = -q for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 103805.\nAnswer: 5, 13, 1597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.105917 rounded to four decimal places?\nAnswer: -0.1059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((120\/18)\/(-10))\/(7\/(756\/6)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12 and 84?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 1, m: 1, i: 2, c: 2, g: 1, e: 1}. What is prob of picking 1 g, 1 o, 1 m, and 1 c?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**2 - r + 1. Let f(i) = -11*i**2 - 4*i + 5. Let h(g) = -5*d(g) + f(g). What is the second derivative of h(a) wrt a?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 5*y + 20. Let f be q(-4). Solve f*i = -5*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1106000 rounded to the nearest 1000000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2\/(-4))\/((33\/(-60))\/11). Let g be (-4)\/8 + 5\/t. Let n = -469 - -8909\/19. Which is bigger: g or n?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*p**2 - 1457838*p - 177107636187.\nAnswer: -3*(p + 242973)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3\/(-12))\/((-1)\/(-2))*-4. Let b be 1\/1 - (-14 + 1). What is the highest common divisor of b and d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-232)\/(-30))\/2 - 4\/(-30). Let d(k) = -i*k**3 - 7 - k - 7*k**2 - 7*k**3 + 10*k**3 - 5*k. What is d(-6)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 2*v**2 - 32*v - 82. Let c be n(-38). Suppose -5*y - 3*u + 1059 = -c, 5*u - 10 = 0. What is the hundreds digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.8, -5, 0.3, 2, -70\/9.\nAnswer: -70\/9, -5, -0.8, 0.3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 872445 a multiple of 105?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*q - 2*q - q)*(-4*q**2 - 5*q**2 + 3*q**2).\nAnswer: -24*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 33*p - 405. What is k(11)?\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 452, 904, 1358, 1814, 2272, 2732?\nAnswer: 3194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -4*d, m = 2*m - 2*d. Let k = 1 + 2. Sort -4, m, k in decreasing order.\nAnswer: k, m, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 8208, 16503, 24796, 33087, 41376, 49663?\n\"Answer: -j**2 + 8298*j - 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1\/(-1))\/((-1)\/4). Let h = s + -2. Suppose -h*n + 120 = 3*n. Does 12 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1437\/4, -5, -1, 1\/6, 15?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5520701 to the power of 1\/2, to the nearest integer?\nAnswer: 2350","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one sixteenth of a hour?\nAnswer: 225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 140915 or 140918?\nAnswer: 140918","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -12*r - 7. Suppose 0 = -2*u - 4 - 8. Let l be k(u). Suppose 5*y = -25, -2*y - l = -5*j + y. List the prime factors of j.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k + 5*x + 3, -2*k = -0*k + 3*x - 71. Let l be (-6)\/(-4)*k\/6. Suppose -3*w + 22 = v - l, -3*v - w + 47 = 0. Is v a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 4.270587 decades?\nAnswer: 0.4270587","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -4*u + 2. Let v(i) = -5*i + 1. Let g(l) = 4*k(l) - 3*v(l). Let z(b) = -2*b + 9. Let j(y) = -5*g(y) + 3*z(y). Let p = 192 + -194. Determine j(p).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 34 = -3*d - 0*d, 0 = 2*h + 2*d + 24. Let j be h*((-64)\/28 + 2). Suppose -2*p = -12 - j. Calculate the remainder when 29 is divided by p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) -9 (c) 4 (d) -2\/9 (e) -60 (f) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 5\/6 (b) 2731 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u\/((u\/(u\/u**(-6\/11)))\/u*u*u))\/(u\/(((u\/(u*u**(-1)\/u))\/u)\/u)))\/(u*u**2)**(-2\/87))**(-31))**(-43) assuming u is positive.\nAnswer: u**(-163959\/319)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.2 - 0. Suppose 11 = -4*u + 3. Let j be (-28)\/(-35)*1\/u. Which is the nearest to 0.1? (a) v (b) 4 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -4*y**2. Let w(d) = -d + 445. What is s(w(f))?\nAnswer: -4*f**2 + 3560*f - 792100","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**2 + 2*m + 1. Let j(w) = -4*w**2 - 6*w - 8. Let q(x) = -j(x) - 3*u(x). Calculate q(4).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1701 to 2 decimal places.\nAnswer: 0.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.8 + 0.7. What is the closest to p in 0.1, -3, 0.3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 16*p + 35*p + 91*p in the form l + r*p and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -42.683 to the nearest integer.\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3941, 1, 33.\nAnswer: -3941, 1, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o - 4 = 0, 12*q - 8*q = -5*o + 2 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 74883 and 327.\nAnswer: 327","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 14720230129 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 738, 1475, 2212, 2949?\nAnswer: 3686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 75767123 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 6805 divided by -1361?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 12239\/9612 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence irii when four letters picked without replacement from {i: 5, r: 2}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**3 + 3*q**2 + 3*q. Let n be w(4). Let y(j) = j**3 + 5*j**2 + j - 4. What is the units digit of y(n)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3*10\/75 + (-22)\/(-5). Solve 0 = 2*r - z - 12, r - i*z - 14 = -1 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o - o - 4, -5*o - 7 = -g. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15)\/(-6)*2\/3)\/(10\/36).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -15.1859422 to two decimal places.\nAnswer: -15.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4730?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 254 = g + 265 for g.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**2 - 10*k - 8. Let h(a) = -2*a + 1. Let t be h(5). Let b be l(t). Let q(r) = 18*r**3 - r**2 + 2*r - 1. Does 9 divide q(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14b (base 12) to base 9.\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i. Let w(h) = 12 + h - 12. Determine s(w(z)).\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -5*l + 2*l - 16 - l. Let r be h(-5). Is 42 a factor of (1 + r)*(4 + (-424)\/(-20))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = 4*m + j + 4, 0 = 3*m + 4*j + 7. Let n(t) = 8*t**3 - 8*t + 6*t - 4 - 7*t**3 - t**2. What is n(m)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6 - (4\/(-4) - -1). Suppose 7 - 2 = 5*n. Find the first derivative of -1 - d*g**4 + 3 - n + 2 wrt g.\nAnswer: -24*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 134544749.\nAnswer: 17, 7914397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 (base 15) in base 13?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 3 + 2)*(55 - 55 + 9*h**2) as d*h + q*h**2 + o and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2.894 and -4.2.\nAnswer: 12.1548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1164628577 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p + 2*h + 10 = -7*p, -4*p = -3*h + 2 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from {e: 7, l: 2, x: 1}.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 3*y**3 - 2*y**2 + 2*y - 1. Let u be z(1). Let j(t) = 0*t - 4*t + u*t + 3*t. Let a(f) = 3*f - 3*f + 5*f**2. Give j(a(o)).\nAnswer: 5*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 26 - 21635*p**3 - p**2 + 10816*p**3 - p + 10820*p**3 in the form n*p**2 + s*p + c + a*p**3 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -5*s + 8. Let y be -15 - (-40 + 19 - 5). Solve -y = -s*o - 27 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -8*r - 43. Let s(v) = 7*v + 43. Let h(i) = -3*g(i) - 4*s(i). Let c be h(-12). Let m be 24 - -2*2\/4. Solve -m + c = -4*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k + 1. Let c(h) be the first derivative of 17*h**3\/3 + 3*h**2 - 3*h - 2. Let m(i) = c(i) + 6*z(i). Let d be m(-2). Round d to the nearest ten.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7.6 + 0.6. Let y = 6 + k. Suppose j + o = 1, -3*o = -3*j - o - 22. Which is the nearest to 2\/7? (a) j (b) y (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 45 and 333.\nAnswer: 1665","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -1 - ((-4 - -6) + 4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3 - -1 - (1 + 1). Let b be (6\/w)\/(4\/24). Does 20 divide 4\/(-6)*b*10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i - 18 = -4*a - 30, 2*a - 5*i - 24 = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 29182763 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes before 4:28 AM?\nAnswer: 1:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -2\/415?\nAnswer: -2\/415","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -83 - -93. Let n be (-14)\/(-3) + (-2)\/3. Suppose 5*c = -5, n*c + 3 = v + 5*c. What is the highest common divisor of v and g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 87038?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b - 1. Let a be 2\/(-8)*-2*10. Let t = a + -18. Let n = t - -8. Calculate p(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 567330, 1134658, 1701982, 2269302?\nAnswer: 2836618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*w = 2*w + 1859. Is w a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1661982*y + 586928*y + 1038707*y - 501104*y.\nAnswer: 2786513*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -2*t - 12. Let c(b) = -1786*b + 228. Let z(h) = -c(h) - 19*y(h). Let r(w) = 2*w. What is z(r(m))?\nAnswer: 3648*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 223.9998976 + -224. Round x to 5 dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (12\/8)\/(6\/8). Let n = -239 + 1669\/7. Which is the third biggest value? (a) 6\/11 (b) n (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 22587061?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-391)\/(-42)*(-12)\/(-4). Let v = q + -28. Sort -0.1, v, -2\/11 in decreasing order.\nAnswer: v, -0.1, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 4*m - 60 = 10, -4 = -4*m. What is the smallest value in j, 3\/4, -5, -0.4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6758374?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-576)\/(-840) - (-10)\/(-35). Find l such that p*l**3 + 0 - 6\/5*l**2 + 4\/5*l = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 1780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -0*u + 21. Solve -147*q**3 + 48*q**5 - 7*q + 6*q + 3*q - 6 + u*q + 96*q**2 = 0.\nAnswer: -2, -1\/4, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 175 + -176. Let l = 465 + -465.044. What is the second smallest value in b, -3\/2, l, 0.4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*o - 0*o + 2*t + 25, 4*o - 20 = -t for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -17135 divided by -5\nAnswer: 3427","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-27))**(1\/66)*((j\/(j*j**(-1\/61)))\/j)**(3\/2))**(7\/4) assuming j is positive.\nAnswer: j**(-17703\/5368)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 14*d**4*t**2 - 3*d**2*t**2 - 3*d*t - 65*t**2 wrt d.\nAnswer: 56*d**3*t**2 - 6*d*t**2 - 3*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 4 = -8. Suppose -r*d + 20 = 3*u - 8*u, 4*d = -2*u + 20. Solve u*n = -2*n - 6 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from guujgjjjg. Give prob of picking 1 j and 1 g.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 3*j**2)*(4*j**2 + j**2 - 2*j**2 + 0*j**2 + 0*j**2 + 2*j**2 + (1 - 3 + 1)*(3*j**2 - 1 + 1)).\nAnswer: 6*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.46 + 0.04. Let i = -6 - -5.9. What is the nearest to i in -2, x, 2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 138 is divided by 124?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60 + 65 - 199 + 74 - 23*d.\nAnswer: -23*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:09 AM and 10:41 AM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:32 PM and 12:50 AM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8*k**2*y**2 - 84084*k**2 + 6897*k*y + 127*y**2 wrt k.\nAnswer: -16*y**2 - 168168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.04 in 247005, -3, -0.5, 0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, -14, 2, 3?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 87 in -0.07, 18, 0.3, 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.07 - 2.1. Let q = z - 0.17. Let y = -4 + -2. Put y, q, -2 in decreasing order.\nAnswer: q, -2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 134453 and 135333.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -9*b**2 - 456*b + 3533. What is v(-57)?\nAnswer: 284","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1426 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 + 30*y + 15*y + 6 to l + i*y and give i.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 7*j = -4. Let b be (15367\/(-55))\/((-2)\/5). Let p = 717 - b. Calculate the common denominator of j and p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*a**2 + 2*a - a + 28*a**3 + 4*a**2.\nAnswer: 28*a**3 + a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 + 4\/1)*(20 - 25).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 589629 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 l, and 1 c when three letters picked without replacement from cvnls.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 11*k + 36*k + 16 + 65*k.\nAnswer: 90*k + 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 129 = 4*r + 209. What are the prime factors of (-2985)\/(-25) + ((-32)\/r - 2)?\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*g**2 - 40455808*g - 102292025058304.\nAnswer: -4*(g + 5056976)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2453 - -2455. Suppose -w - 22 = -2*w. Suppose -2*g + 4*x = -w, -5*x = 5*g + 3 + a. What is the greatest common factor of 2 and g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -10203, 3, 53 in ascending order.\nAnswer: -10203, 3, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 121220 + 21?\nAnswer: 121241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0\/((-1 - -2)\/(-1)). Find the first derivative of -3*t + o + t - 2 wrt t.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*m - 5*m + 285*m - 4*m.\nAnswer: 296*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d\/(d\/(d*(d\/d**9)\/d)))\/d**(-2\/5))\/(d**3\/d**(-1\/9)) assuming d is positive.\nAnswer: d**(-437\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (g - g**2 - g)*(-2*g**2 + 2*g**2 - 2*g**2) + 53*g**4 + 60*g**4 - 2*g**3 - 108*g**4 as x*g**4 + u*g + j*g**3 + f*g**2 + d and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*h - 4*w - 36, -5*h = 4*w + 48 - 7 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 5*b = 2 + 5, 2*r = -b + 7. Let a(m) be the second derivative of -1\/6*m**4 - 7*m + 1\/3*m**r + 0*m**2 + 0. Factor a(q).\nAnswer: -2*q*(q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 <= -4\/1865498517?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(91) + (sqrt(91) - (sqrt(91)*-5*-4 - sqrt(91))))\/(-6*sqrt(847)).\nAnswer: 17*sqrt(13)\/66 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*s**4\/3 + 104*s**3\/3 - 100*s**2\/3.\nAnswer: -4*s**2*(s - 25)*(s - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27 + -12 + 1 + -7 + 5 + -3.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**2 + 1. Let y be r(-1). Let c be (y\/3 - -8) + -1. Let n = 7 - c. Solve -2 = -n*u - u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 19 and 2584?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13 + 58. Let z be (-64)\/8*(-2)\/(-18)*660\/440. Sort z, b, -2\/11 in increasing order.\nAnswer: z, -2\/11, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 20 - 25. Which is the fourth biggest value? (a) 1 (b) r (c) -4 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 44466, 46227, 47988, 49749, 51510?\nAnswer: 53271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.12 in 0.2, 23, 102?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/((-1 + -3)\/(-4)). Which is the closest to p? (a) 5 (b) -1 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -465, -912, -1343, -1752, -2133, -2480?\n\"Answer: w**3 + 2*w**2 - 460*w - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7\/1380700 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the third derivative of w**8\/168 + 2*w**6\/5 - w**5\/15 + 3*w**4\/8 - w**2 - 46. What is the third derivative of m(i) wrt i?\nAnswer: 120*i**2 + 288","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/((b**(1\/9)\/b)\/b))**16*b**12*b**(3\/2)*b assuming b is positive.\nAnswer: b**(1093\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 37*r. Let f(b) = -210*b. Give f(k(o)).\nAnswer: -7770*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**3 + 4*h**2 + 4. Let a be p(-4). Suppose 0 = 2*z - 40 + a. Let t(w) = -w - 3. Let b be t(-5). Calculate the highest common divisor of b and z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-28)\/21*(-24)\/32*-118. Is -118 > x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**14*g**(-2)\/g)\/(g\/(g**(1\/5)\/g)*g*g**6) assuming g is positive.\nAnswer: g**(11\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 a multiple of 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b - 145 = 5*p, 20*b = 19*b + 29*p + 729 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**(-5)*k**(-3))**(1\/30)*(k**(-5)\/(k*k\/((k**0*k)\/k)*k))**47 assuming k is positive.\nAnswer: k**(-3759\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -150485.1486 to the nearest one thousand.\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 313403520 divided by 4896930?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4498\/(-130) - 32\/80.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 5114496?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 29997107 and 174?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -2*t**2 + 94*t - 16. Let m be b(35). Let x = -65 + m. What are the prime factors of x?\nAnswer: 3, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and 738.\nAnswer: -369","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 145 (base 12) to base 8\nAnswer: 305","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 453267305 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -503 (base 10) to base 13\nAnswer: -2c9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - k = -0 + 4, 0 = -5*k. Suppose -x*g - 5 = -41. What is the greatest common divisor of g and 48?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -1287832*m + 5978. Let k(v) = -862*v + 4. Determine 8967*k(n) - 6*s(n).\nAnswer: -2562*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 10\/211 or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-84*t + 0*t + 29*t)*(-6*t + t**2 + 6*t) - t**2 - t**3 + t**2.\nAnswer: -56*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9 + -5. Let j = -0.003038 - -0.103038. Which is the fourth smallest value? (a) -2\/7 (b) j (c) t (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2874 times -0.861\nAnswer: 2474.514","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 136\/44 - 178\/1958. Let h(f) be the first derivative of 0*f - 1\/14*f**2 - 1\/21*f**b + 33. What is q in h(q) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 876*c + 2036*c + 2845*c + 1214*c to v*c + l and give v.\nAnswer: 6971","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -58, -1\/819, -2\/3?\nAnswer: -1\/819","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b = -b - 105. Let t = b + -21. Suppose -2*j + 10 = t, 3*j = 2*k + j - 30. Calculate the remainder when 78 is divided by k.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55 = -5*f - 0. What is the lowest common multiple of f and 4?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*l**2 + 4*l**2 - 6*l + 2 + 2 = 0. Calculate l.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 21*r**2 + 6*r - 14440. Let j(i) = 32*i**2 + 9*i - 14439. Determine -2*j(h) + 3*w(h).\nAnswer: -h**2 - 14442","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (18\/(-6) - 15\/(-9))\/((-286)\/(-33)). What is the closest to 1 in 0, h, 96?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 653990201 to the nearest integer?\nAnswer: 868","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.0199 - 1.0199. Let l = 0.1 - 0.2. Which is the nearest to l? (a) 1\/3 (b) x (c) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 60 - 72 = 0. List the prime factors of 12\/(-8)*(-2 - j).\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**3 - 5*x**2 - 5*x - 1. Calculate k(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 2*m = 6, 2*m - 6*m - 23 = 3*v. Let z = v + 8. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * 3238.\nAnswer: 1295.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -4*w + 4. Let s be y(-2). Suppose -s = -3*i + 2*m, i = m + 3*m + 14. Let n be (-4 + i)\/(2\/(-5)). Solve -p + 15 = 3*f + 2*p, n*p = 3*f - 15 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/(-20))\/(13\/26).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 4*v - 14 = -2*s, 39 = 3*s + 3*v. List the prime factors of s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 25 - 20. Suppose 2*m - 8 = -n - m, -14 = -2*n - s*m. Let x = 31 - 25. What is the lowest common multiple of x and n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.3141 times -3?\nAnswer: -9.9423","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2164739?\nAnswer: 2164739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g when three letters picked without replacement from gggggggdrggrrgdgg.\nAnswer: 11\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -174 + 54 = -3*g - 9*g. What is the highest common factor of 2510 and g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2380.98 milligrams in kilograms?\nAnswer: 0.00238098","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3\/49 + 107\/147. Which is the nearest to o? (a) -1 (b) 7 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1156\/(-10)*(-535)\/214. Let c = -314 - -212. Let u = c + l. Calculate the greatest common factor of u and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the third derivative of 55*x**4\/4 - 364*x**3\/3 + 396*x**2. Differentiate w(b) with respect to b.\nAnswer: 330","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -7, 4, -2.1, -0.5 in descending order.\nAnswer: 4, 2, -0.5, -2.1, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -22*m + 18*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 - 47?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 19 + -24 - 282\/(-2). What is the greatest common divisor of 8 and g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 795, 2954, 6497, 11424, 17735, 25430, 34509?\n\"Answer: 692*x**2 + 83*x + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 7, p: 9, r: 1, h: 1, z: 2}. What is prob of picking 1 r and 1 h?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -7\/15, 5, 1\/3, -0.945?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27 - 13 + 9*r - 14.\nAnswer: 9*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**3 + 14*j**2 + 57*j + 136. What is the lowest common multiple of w(15) and 2?\nAnswer: 766","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 748950 (base 10) in base 16?\nAnswer: b6d96","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*y**2 + 5*y**2 - 3*y**2 + (4*y**2 - 4*y**2 - y**2)*(-6 + 3 + 2) + (0*y - 2*y + 4*y)*(13*y + 31 - 31)*(0 - 2 + 1) as i*y + a + o*y**2 and give o.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d*d**(-10)*d)*d)\/d**(2\/3))**(-3\/23)*((d*(d\/(d\/(d\/(d\/((d**(-3)\/d)\/d*d)))))\/d)**34)**(2\/43) assuming d is positive.\nAnswer: d**(-7460\/989)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -5*a - 38 + 16, 0 = 3*c - 2*a - 7. Let g be (42\/18)\/(c - (-8)\/6). Solve 3*q - 5 = 4*p, g*q = 2*q + p - 3 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24855215057 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qkk when three letters picked without replacement from {q: 3, k: 3}?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 151 + -63. Suppose 3*v = 92 + f. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2378318457 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6236.\nAnswer: 2, 1559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3893 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v**4 - 4 + 4)*(-3 + 3 + 25).\nAnswer: -25*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 413 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 849.1811 nanometers in millimeters?\nAnswer: 0.0008491811","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:56 PM and 7:10 PM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000306256548 to seven dps.\nAnswer: 0.0003063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000205406 rounded to 5 dps?\nAnswer: 0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -127033 greater than or equal to -127357?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00005163349 rounded to 6 decimal places?\nAnswer: -0.000052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:29 AM and 2:47 PM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/9, -1\/15, 2, -4\/15, -0.2?\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 26 = 4*q + 2*x, x = -3. Let z(k) = -6*k**3 - 2*k**3 - 6*k + 7*k**3 + 6 - 6*k**2. Is z(q) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**3 + 13*a**2 + a - 12. Let m be w(13). Let v(x) = 18*x**3 + 1. What are the prime factors of v(m)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -74387784 divided by -4375752.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -191347525.\nAnswer: -1\/38269505","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bnh when three letters picked without replacement from bnhnnhh.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8740 and 2070.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(-12\/5)*d**(3\/2)*d**22\/(d**(1\/9)*d))**(-29) assuming d is positive.\nAnswer: d**(-54781\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1082300654 to the nearest integer?\nAnswer: 1027","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -333322130223 + 132?\nAnswer: -333322130031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-1)\/2)\/(39\/(-234)). Determine i, given that 25 - 3*i**x + 30*i + 5 + 3*i**2 - 6 = 0.\nAnswer: -2, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14129730 and 315?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 130*f - 13 = -533 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 4, -19, -2, 23.\nAnswer: -19, -2, 0, 4, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 856 - 855.601. Round t to one decimal place.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7112279 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7330 and 23088767.\nAnswer: 230887670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/4*x**4 + 0*x**3 + 2 + 11\/4*x**2 - 9\/2*x.\nAnswer: -(x - 2)*(x - 1)**2*(x + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52*j**2 - 13291*j - 13292*j + 39873*j - 13290*j + 131*j**2.\nAnswer: 183*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f - 8*f = 14. Suppose -c - 16 = 4. Let l = f - c. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (p**2 + 2*p**3 - p**2)*(-2 + 1 + 0) + 0*p - 4*p**3 + 0*p + 2*p**3 - 2*p**3 + 2*p**3 - 3*p**3 + 2*p**3 - p**3 as s*p + x*p**3 + w*p**2 + o and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -38c499 (base 13) to base 5.\nAnswer: -322311113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 11305883 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 4405032\nAnswer: -1\/4405032","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**3 + 27*v**2 - 894*v + 1656.\nAnswer: 3*(v - 12)*(v - 2)*(v + 23)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 8 = 2*r, 2*x = r - x + 6. Suppose -3*d - 2*a = -8, -a + 2 = -2*a. Let p(c) = 4 - d + c - 2 + 4. Determine p(r).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (20\/15)\/(-4)*-36. Suppose 1222 = -c*v + 10246. What are the prime factors of v?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20885701 to the power of 1\/2, to the nearest integer?\nAnswer: 4570","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c + 8. Let u be 10*((-20)\/(-8))\/5. Suppose -30 = -0*w - u*w. Calculate i(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**3 + 9*k**2 - 12*k - 39. Let g be 8\/4 + -3 - 133\/(-19). Calculate b(g).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1369 and 26121889.\nAnswer: 1369","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(176) + sqrt(176))**2 - 6*(sqrt(55)\/sqrt(5))**2.\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1440 and 3100.\nAnswer: 223200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 283 + -130. What is the hundreds digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*q**2 - 2*q**2 - 2*q**2 + (4*q - 6*q + 0*q)*(q + 3 - 3) - 8*q**2 + 13*q**2 - 51*q**2 to the form j + n*q**2 + d*q and give n.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 11583 to the power of 1\/3, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 14) to base 13.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9119 + 27361\/3. What is the fourth biggest value in 5, -1, 0.1, 234, n?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1071\/(-360) + 3)*12\/5. Let v(g) be the second derivative of -m*g**6 + 0 + 27\/100*g**5 - 9\/20*g**4 + 0*g**3 - 4*g + 0*g**2 + 1\/210*g**7. Factor v(k).\nAnswer: k**2*(k - 3)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**3 - 80*c**2 - 1792*c - 10484. Calculate o(-46).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*b + 6414585997*b**2 - 6414586023*b**2 + 6*b.\nAnswer: -26*b**2 - b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-110149)\/(-234))\/(-37) - -13)\/(7\/42).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 25303 - 25303. Let a = -2 - -3. What is the closest to 0.12 in 2\/9, a, y?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = -4*w + 2*g, 0*w = 5*w - 4*g + 29 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/39 in 2.7, -0.9, 0, -2\/17?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 3405 + 45*o**2 - 151*o**2 - 2*o**3 - 3405 - 4*o as g*o**3 + z*o + q + x*o**2 and give z.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2210211100222 + -201100?\nAnswer: -2210212002022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 216423864?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkkkkkkkffkkkfk. What is prob of sequence kf?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:36 PM and 4:04 AM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 18, 1, -492, -2, 4 in descending order.\nAnswer: 18, 4, 1, -2, -6, -492","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -69067, -69084, -69097, -69106, -69111?\nAnswer: -69112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15778, 63038, 141798, 252052, 393794, 567018, 771718, 1007888?\nAnswer: 1275522","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -2*r - 7. Calculate y(0).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 3 = -5. Suppose -i*q + 99 = q. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 50 - -2. Calculate the remainder when a is divided by 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 5*v. Determine g(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 12 + 1 + 229 + -213\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -2*y**2\/7 + 356*y\/7 + 3760\/7 = 0.\nAnswer: -10, 188","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001921 rounded to 3 dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 - 2)*(2*h**2 + 0*h**2 - h**2) + (2*h + 0*h - 3*h)*(-8*h + 12*h + 7*h) + h**2 + 0*h**2 + 4*h**2.\nAnswer: -7*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes after 7:16 AM?\nAnswer: 8:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 160 and 370.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 820 (base 14) to base 2.\nAnswer: 11000111100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 + (-5 + 6 - (62 + -58)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -1285*r + 6426. Determine a(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 349746?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/20490 and -3\/273200?\nAnswer: 819600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4125 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 21834.402 rounded to the nearest one thousand?\nAnswer: 22000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -143\/120 and -123\/1540.\nAnswer: 9240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 131996*i**3*p**3*q**2 + i**3*p**2*q - 3*i**3*p*q**2 - 24*i**2*p**2*q - 3*i**2*p*q - i*p**3*q + 1358*i*p**2 - i wrt q?\nAnswer: 263992*i**3*p**3 - 6*i**3*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 863 a factor of 19904811?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-14)*w*w**(2\/19))\/(w**3)**(-35) assuming w is positive.\nAnswer: w**(1750\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/(-8)*(-5 - -1). Let c = 5 - 2. Let f = l + c. Does f = 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 348 (b) 0.02 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55625719 is divided by 6180635?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 4*r**2 + 3*r - 3. Let i(p) = 7*p**2 - 2 - 3 + p + 4*p. Let q be (-1)\/((5\/15)\/((-2)\/(-2))). Calculate q*i(u) + 5*n(u).\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -2 + (1 - 0).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 + 141\/45)\/(329\/35 + -7)?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes after 12:12 AM?\nAnswer: 4:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*z**3 - 3*z**2 - 23*z**3 + 6 + 12*z**3 + 2*z in the form m*z + u*z**3 + j + a*z**2 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 1 s when three letters picked without replacement from rsllrs?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*k + 3*k + 1116*k**2 - 1123*k**2 - 6*k.\nAnswer: -7*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -644*71.\nAnswer: -45724","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkewsewkkwkkfee. What is prob of picking 1 k and 1 s?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 27811447 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 14074 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-3\/7)*n*n*n*n**(1\/3)\/n*n)**50\/(((n**(1\/2)*n)\/n)\/(n*((n**(-2\/5)\/n)\/n)\/n))**(17\/5) assuming n is positive.\nAnswer: n**(142147\/1050)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 525035.1 months in centuries?\nAnswer: 437.52925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-65)\/(-78)*-183)\/((-30)\/(-12)).\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3003002022 (base 4) in base 9?\nAnswer: -1446740","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -105*t = 174 + 351 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 3, p: 6, h: 2, q: 2}. Give prob of sequence hh.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**3 + 13*z**2 - 11*z - 4. Let d be h(12). What is the remainder when d\/(-108)*3 + (-1174)\/(-18) is divided by 19?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 3*d = 0. Suppose 18 = 3*x - d*x. Suppose x = 2*s - 22. List the prime factors of s.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p + 4 = -3. Let n be (3\/9)\/(p\/27). Let q = n + 113. List the prime factors of q.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -2*m**2 - 5*m - 3. Let t be r(-3). What is the units digit of (-8)\/16 - 315\/t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:49 PM and 3:12 AM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 82 + -82. Solve -c + 0*c = 4*u - 7, q = -5*u - 2*c + 11 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 62.2 + -62.2000054. Round p to 6 decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a + 2. Let j = -7 - -1. Calculate the remainder when 1 + 15\/(-6)*j is divided by z(7).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 291 - 292. Which is the nearest to 117? (a) z (b) -6\/5 (c) -2 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1160462333 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2002 and 1628?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1968.\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13 + -13.2. Which is the nearest to -2? (a) -5 (b) g (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3330112332 (base 4) to base 8\nAnswer: -3742676","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.008535171266 to five decimal places.\nAnswer: 0.00854","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-2)\/(-3))\/(20\/(-150)). Sort 5, m, 0 in ascending order.\nAnswer: m, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 7, -1\/4, -0.2, -3, 1764.8, 2\/31?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 9.947213 minutes?\nAnswer: 596832780","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uhfxufuhuhxuh. Give prob of sequence hh.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*i**2 + 86*i - 86*i)*(163 + 124 + 2).\nAnswer: 2890*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/10 + (-216)\/(-15). Let l = 23 - o. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/38)\/(67642\/20729)?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 - 4. Let a = -11 + g. Does 30 divide ((-78)\/(-7))\/(a\/(-49))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 11*s**2 - 8*s - 4. Let o be n(-2). Let w = -32 + o. Which is smaller: w or 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 478802679 to the power of 1\/4, to the nearest integer?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 2 z when three letters picked without replacement from zfqzqzozz?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l\/l**2))\/(l**6\/l)*(l*l*l**(-1\/4)*l)\/(l*l**(2\/11)*l))\/((l*l*l**(-1))**(8\/17)*(l**(-1\/3))**19) assuming l is positive.\nAnswer: l**(7699\/2244)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*a + 1131113*a**2 - 1131141*a**2 + 0*a + 7*a**3 to the form j + v*a + d*a**3 + z*a**2 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -a**3 + 38055*a**2 - 341466543*a - 396986532151 = 0. What is a?\nAnswer: -1039, 19547","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v - 32 = 11*v + 2*n, 5*v = -3*n - 54. Sort v, 0.1, 2 in decreasing order.\nAnswer: 2, 0.1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 1 + 3*c**2 + 5*c + 0*c**2 + 2. Let s(z) = -9*z**2 + 14*z + 2. Let k(f) = f**2 - f. Let w(j) = 22*k(j) + 2*s(j). What is 6*a(u) - 5*w(u)?\nAnswer: -2*u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are -368461 and -4 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4963 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 - -252282?\nAnswer: 25227b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n + 5*t - 18, -15 = 3*n - 0*n - 4*t. Let y = 8 - n. Let w(q) = -5*q**3 + q**2 - 1. Let z(p) = p**3. Calculate y*z(f) + 2*w(f).\nAnswer: -f**3 + 2*f**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 33 and 231?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 65 - 30 - 94*p + 1021*p**5 + 1208*p**5 - 32 wrt p?\nAnswer: 44580*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k\/(((k**(-4)\/k)\/k)\/k)*k**(-2\/11)*(k*k**(7\/4)\/k)\/(k\/(k*k**(1\/22))) assuming k is positive.\nAnswer: k**(423\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 3*z**2 - 639*z - 642 = 0.\nAnswer: -1, 214","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m + 2*m + 18. Suppose 12 = 10*h - m*h. Factor 0*y + 0*y**2 + 1\/2*y**5 + 0*y**4 - 1\/2*y**h + 0.\nAnswer: y**3*(y - 1)*(y + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 + (51 + -46 - (20 + 0 + 0))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, f: 7, z: 1, m: 2, h: 7}. What is prob of picking 1 i and 1 m?\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4290 * -851.\nAnswer: 3650790","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.5? (a) 1 (b) -3.2 (c) -1\/12 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 12684?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i - 70 = 465*a - 467*a, 0 = 110*a - 112*a + 5*i + 114 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 469704 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: How many kilometers are there in 3453.97m?\nAnswer: 3.45397","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -328, -329, -330, -331, -332, -333?\nAnswer: -334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7366 to the power of 1\/3, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -4\/9, -2\/3, 2, -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (28\/11)\/((-7220)\/(-7942))?\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the first derivative of -144\/7*m + 10\/7*m**4 + 6 - 52\/21*m**3 - 4\/35*m**5 - 120\/7*m**2. Suppose d(k) = 0. What is k?\nAnswer: -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11135 or 11136?\nAnswer: 11135","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -597294 and -2.1.\nAnswer: 1254317.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 236 or -255609?\nAnswer: -255609","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 741 - 6*t**2 - 741.\nAnswer: -6*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 21*c - 865. Calculate v(37).\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.78 + -44.78. Let u = -46 - m. Put -1, u, 1\/5, 1\/6 in decreasing order.\nAnswer: 1\/5, 1\/6, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 37 - 44 + 57 + 62 - k**2. Is 28 a factor of s(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 204899 and 20419361?\nAnswer: 3359","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 199*m = 196*m + 135, -m + 397 = 3*y. Solve 4*w + y = -18*w for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5\/3 - (28\/(-12))\/7. Differentiate 63*n**y + 49 - 226 - 69*n**2 with respect to n.\nAnswer: -12*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 596 and 14636866.\nAnswer: 298","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b - 856 = -868. Determine h so that 1707*h**b - 1707*h**2 + 4*h**5 + 12*h**4 = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 3*w**4\/5 + 7962*w**3\/5 - 248985*w**2 + 9463500*w = 0.\nAnswer: -2804, 0, 75","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, c: 9, v: 7}. Give prob of sequence ucu.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + p + 6 + 3 = 0, p = 3*h + 7. Let r = 1.553361 - 1.153361. Put r, -1, 3\/7, h in decreasing order.\nAnswer: 3\/7, r, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 4*l - 2*l**2 + 12 + l + 10 + 3 - 1. Determine n(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v. Suppose h = -i, h = -2*h - i + 8. Let f be m(h). Suppose 8*w - 256 = f*w. Calculate the remainder when w is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 3, 14, -2, 426.\nAnswer: -2, 3, 4, 14, 426","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 29901?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = l + 4*i - 8, 2*l - 3*i = 1. Suppose 0 = -5*r - 4*f + 136, 27 + 29 = l*r + 2*f. What is the highest common divisor of 120 and r?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/115920 and 97\/1008.\nAnswer: 115920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a + 3*i + 27 = 0, -15879*a + 15879*a = i - 5 for a.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**2 + 5*h + 4. Let u be v(-4). Let z(p) = -p**3 + p**2 + p + 2. Let f be z(u). What is the first derivative of y - f + y + 0*y wrt y?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 981*q**4 - 803*q**4 - 1380*q**2 - 543*q**4 + 1400*q**3 + 5*q**5.\nAnswer: 5*q**2*(q - 69)*(q - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -800 divided by 1013\nAnswer: -800\/1013","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*m**3 + 4*m**3 + 0 + 0.\nAnswer: -12*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/(350\/12))\/(88\/220)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -4 - (-4 + (-5 - -3))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11 and 275?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the first derivative of 57 + 25\/4*y**4 + 130*y**2 + 160\/3*y**3 + 80*y. Factor m(z).\nAnswer: 5*(z + 2)*(z + 4)*(5*z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 12321002\/9 - ((-87)\/(-27) - 3). What is w rounded to the nearest ten thousand?\nAnswer: 1370000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**2 - 13*g + 28. Let v be n(16). What is the common denominator of -71\/10 and (-2)\/40*38\/v?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11.4 - -5.4. Which is the second biggest value? (a) 5\/6 (b) -3 (c) k (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7138809?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -6 + 11 + 4?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 187.7114mm to nanometers.\nAnswer: 187711400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4760*c**5 - c + 63?\nAnswer: 95200*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*a + 13*a. Suppose 9*y - 96 - 39 = a. Solve -3*k - k + 22 = 2*h, 2*k - y = -5*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) -2\/7 (b) -5 (c) -159 (d) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 831296190?\nAnswer: 2, 3, 5, 1217, 22769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(133) + 2*sqrt(133) - sqrt(133))\/sqrt(7) - sqrt(19) - ((sqrt(19) + sqrt(76)\/sqrt(4))**2*-4 + sqrt(19)) - sqrt(304)*-5*3) + 2.\nAnswer: 60*sqrt(19) + 306","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:55 PM and 1:45 AM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1 (b) 9\/10 (c) 2\/7 (d) -7 (e) 0 (f) 0.1 (g) -0.37\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = 4*k - 2*y, -4*k - 123168 + 123176 = 2*y for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4055 + -4055.4203. What is n rounded to two decimal places?\nAnswer: -0.42","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -78, -149, -220?\nAnswer: -291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -14308.1 from 1781366227.\nAnswer: 1781380535.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 49*t**2 + 2*t - 47. Let u(m) = 24*m**2 + m - 23. Let p(g) = 7*u(g) - 3*x(g). What is the second derivative of p(k) wrt k?\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y + 19. Let a be x(-15). Suppose 3*z + a*z = 3*z. Suppose z = 12*k - 1044 - 1332. What is the highest common divisor of k and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/95, 404, -2\/11?\nAnswer: -2\/95","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4\/3 (b) -6 (c) 186\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o + 37 = -u, -31*o = -35*o - 2*u - 58 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 2*h**3 - 7*h**2 + 3*h - 21. Give s(3).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 3131c (base 14) to base 7\nAnswer: 1002535","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**2\/3 - 742120*t + 413056570800.\nAnswer: (t - 1113180)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 4*f + 2. Let y(m) = m**2 + 3*m + 7. Let c be y(-4). Suppose -c*x = -9*x + 6. Let s(z) = z**2 - 5*z - 2. Give x*u(l) - 2*s(l).\nAnswer: -2*l**2 - 2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -260*m**2 + 1316*m + 27. Give y(5).\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3\/119 - -125\/238. Let s(x) be the first derivative of -t*x**2 + 5 - 8*x. Give s(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 152.856 + 0.344. Let f = z + -167. Let v = f + 14. Which is the closest to 1\/5? (a) v (b) 0.3 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/10822 and -19\/24080?\nAnswer: 18613840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 5 - 4)*(-2210 - 2260 + 4551)*(-3*n + 3*n - n**2).\nAnswer: 81*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 2*n**3 - 11. Let s be -2 + (-7)\/(-4) + (-1833)\/(-52). Suppose -s + 48 = -4*d + 3*f, 3*f - 1 = d. Let k(x) = -x**3 + 4. Determine d*y(l) - 11*k(l).\nAnswer: 3*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/(-15))\/((-4)\/(-6))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**3 + 6*m**2 + 2*m + 8. Let o be k(7). Let t be (-12)\/o - (-2)\/(-6). What is the third biggest value in -4, t, 2\/7?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of g**3 + 712690*g**2 - 5772597*g wrt g?\nAnswer: 6*g + 1425380","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12 and 190726404?\nAnswer: 190726404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 0*b + 15 = 5*z, 0 = 2*b + 5*z - 15. Let k(v) = -v**3 - 6. Calculate k(b).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the first derivative of -g**2\/2 - 2*g + 13. What is v(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 7853?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 28010 at least as big as -9573?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 s when two letters picked without replacement from jmjwjmwwjmswjsw?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*l + 5581 = 68*l + 991 for l.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9945743 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -3*u - 2. What is b(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -92 (b) -1\/82 (c) 3 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(1*(sqrt(637) + sqrt(637) + 1 + 1)**2 + -2).\nAnswer: -7650 - 168*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.36 - 0.327. Let d = h - -6.367. What is d rounded to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + -4 + 7 - (-19 - (65 + -51))?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((132202\/(-266))\/497)\/(-1*(-26)\/2)?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 61140194 and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bocfppwppwpbopobocb. Give prob of sequence wcb.\nAnswer: 8\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 l, and 1 m when three letters picked without replacement from bpbmpbbbmmmllpb?\nAnswer: 48\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express l**4 + 2*l - 2*l + (-2*l**2 + l - l)*(-2*l**2 - 6 + 6) + (3*l**2 - l**2 - 4*l**2)*(3 - 3 + 2*l**2) as f*l**4 + y*l + k*l**2 + v*l**3 + c and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*d + 183 = -43*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18525237 is divided by 680?\nAnswer: 677","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -38\/3 in -50, -4, 4, 2\/13?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve j + 18 = 7*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 14780*a - 29522. Calculate m(2).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 27164, 27173, 27180, 27185, 27188?\n\"Answer: -q**2 + 12*q + 27153","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.021 (b) -1\/6 (c) 17\/2 (d) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**3\/r)\/r)**18\/((r**(-1)*r)\/(r\/(r*(r**(-6\/5)*r*r)\/r*r*r*r)*r)) assuming r is positive.\nAnswer: r**(171\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 418393 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 3\/4, 21180, -444?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the second derivative of 1\/6*i**3 + 3*i + 0*i**2 + 0. Let u be (-18)\/(-4) - 1\/(-2). Let s(v) = -2*v**2 - 5*v. Calculate u*n(x) + s(x).\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*s + 214 - 409 + 225 to h + m*s and give m.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 7*h - 3*h - 1520 + 1523 - 3*h. Let r(l) = 2*l + 6. Determine 3*r(q) - 5*u(q).\nAnswer: q + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 320?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -8*q**3\/3 - 1210*q**2\/3 - 1502*q\/3 - 100 = 0.\nAnswer: -150, -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -4534 divided by 2?\nAnswer: -2267","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**1\/o)**(-2\/77)*o*o**(1\/5)*o*o*o\/(o*o*o**2\/o*o)*o*o)**(16\/7) assuming o is positive.\nAnswer: o**(176\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -3237, -3232, -3229, -3228, -3229?\n\"Answer: -m**2 + 8*m - 3244","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1528?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 32 + 135*r - 33*r - 49*r. Let l be k(-2). Does -74 = l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p - 4. Let k be y(7). Suppose 0 = -2*u - k + 7. What is the third derivative of s**3 - 4*s**3 + s**2 - 3*s**u + s**3 wrt s?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -5*l + 10. Let d be (-1430000 + 0)\/(l + -6). What is d rounded to the nearest 100000?\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.052, -1\/3, 2, 3 in ascending order.\nAnswer: -1\/3, -0.052, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m - 7 = -11*u + 13*u, -4*m + 5*u + 1 = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llllljlllljljllljllj. What is prob of sequence jjlj?\nAnswer: 5\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 476*g - 8534 - 28604 = 50*g - 173*g for g.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 138, 200, 304, 450, 638?\nAnswer: 868","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 - 21.1593?\nAnswer: -21.5593","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**3 + 3*k**2 - 2*k + 7. Let v be s(2). Let y = 51 + -38. Solve v - y = -2*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61\/104 > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:57 PM and 5:20 AM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -82462 + 0.0284.\nAnswer: -82461.9716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 20*k**2 - 16*k - 6. Suppose 14*l - 211 = -29. Suppose -8*z = -l*z + 40. Let p(d) = -13*d**2 + 10*d + 4. Let t(q) = z*p(q) + 5*n(q). Determine t(2).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -57\/107 + 5549\/1177. Find the common denominator of t and 41\/143.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**2\/6 - 12176*k\/3 - 40595\/2.\nAnswer: (k - 24357)*(k + 5)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 573760 is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0009888193 to 4 dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the third derivative of -23*z**8\/48 + 2*z**5\/15 + 2*z**3\/3 - 45*z**2 + z. What is the third derivative of x(s) wrt s?\nAnswer: -9660*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p + 2*p - 3*p)*(3*p**4 + 20*p**4 + 6*p**4) + 5*p**5 + 0*p**5 - 2*p**5.\nAnswer: -55*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -59 times -5\nAnswer: 295","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7645\/728 - -1\/728. Calculate the common denominator of -19\/11 and w.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 87 - 67 - (1 + 14)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from vvvvvvvvv.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13704459.\nAnswer: 3, 103, 44351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 28168492, 56336984, 84505476, 112673968, 140842460, 169010952?\n\"Answer: 28168492*p","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 148339025 to the power of 1\/3, to the nearest integer?\nAnswer: 529","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -13 * -0.04\nAnswer: 0.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*z - 1 = 14*z. Let a be (z + -3)\/2 + 83 + 2. Let q = a + -48. Does 9 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -265, -1007, -2283, -4093, -6437?\n\"Answer: -267*r**2 + 59*r - 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -38*v - 5. Suppose 7*c + 39 = -45. Let s be (-150)\/8 + 7\/((-112)\/c). Is k(s) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -10*f**2 + 3*f. Let r(c) = 33*c**2 - 11*c + 295. Determine 3*p(d) + r(d).\nAnswer: 3*d**2 - 2*d + 295","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (78\/21 - (-14)\/49) + 0. Suppose 3 = -2*u - s, -t*s + 3 - 15 = -5*u. Solve 4*y - 4 = u, -2*l + 3*y = -l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-54)\/4*(-28)\/21. Let s be m\/(-12)*8\/(-3). Solve -s*g = -5*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = 51*o + 7 - 12 + 4 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 21\/13 (b) 2\/9 (c) -4 (d) -0.5 (e) 1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**3 + 7*o**2 - 9*o + 13. Let y(z) = -z**3 + 7*z**2 - 10*z + 15. Let h(n) = 3*b(n) - 2*y(n). Let k = 1 + -1. Let v = 6 + k. Determine h(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1372961792*z + 209388386?\nAnswer: 1372961792","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 360481 a multiple of 125?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 381180 is divided by 190089?\nAnswer: 1002","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 73695 and 9360?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 172776302.\nAnswer: 2, 157, 193, 2851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1096 = -262*d + 425*d - 7127. Calculate the remainder when d is divided by 34.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*n - s + 4*s + 6*s + 2 = 12*s, 3*n + 13 - 5 = -s for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 536 - 12*x - 24*x - 535.\nAnswer: -36*x + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31 + (-17 - -38) + -18.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -243.11 rounded to the nearest 10?\nAnswer: -240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**2 + x. Let u(c) = 5*c**2 - 8*c - 4. Suppose -15*w = -18*w - 9, -5*r = 4*w - 3. Let a(s) = r*q(s) + u(s). Determine a(4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1250 divided by 6\nAnswer: -625\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s - i + 12, -2*s - i + 6 = 4*i. Let l = -2\/493 - 944\/10353. What is the smallest value in l, s, 0.2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = m, -5*m - 62 + 82 = -5*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*x**2 + 2 + 109*x**2 - 1 + 2 + 1.\nAnswer: 73*x**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 2*m**2 + 9*m - 9. Let h be j(-9). Calculate the greatest common factor of h and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 371?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4\/5, -0.1, -118, 4?\nAnswer: -118","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -c - 378, -4*z = -11*c + 8*c - 1134. Let f be 8\/(-2)*-1 - c. Suppose -2*a = -3*l - 36 + f, 3*l = 3*a + 351. Is 13 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**3 + 7*a**2 + 8*a. Let f be k(7). Calculate the greatest common divisor of f and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (62\/(-8091)*-29)\/(4\/3)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 4453.4895 to the nearest one hundred.\nAnswer: 4500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -10 + 10\/(-5) - 2. What is the common denominator of 37\/10 and m*4\/18*(-3)\/(-12)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**3 - 8*g**2 - 19*g + 4. Let p be r(-5). Suppose -4*n = 16, 5*n + 8 + p = 4*i. Solve 6*y - i*y = b + 3, -5*b = y - 1 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -a**2 - 18*a**2 + 21*a**2.\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.11*-0.044222.\nAnswer: -0.00486442","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -67746630 divided by 33873315\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16 - (6 + 9))*(13 - (-1 - -3)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-13182)\/8)\/((-153)\/204) is divided by 71.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 3*y - 40. Suppose 0 = -4*h - y, -2*o + 3*o - h - 41 = 0. Is o at least 36?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21212200 (base 3) in base 2?\nAnswer: -1011001101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 89 - (34 + -11 + -9 + -29)?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -42*z**2 - 9207*z - 1970. Let h be o(-219). Suppose -5*n = -0*n - 10. Let v = 0.2 - -3.8. What is the closest to v in h, n, -3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 20.039226 months?\nAnswer: 0.0016699355","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -208806009792096 take away -5?\nAnswer: -208806009792091","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 18\/329 and 117\/2876776.\nAnswer: 2876776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes after 12:16 AM?\nAnswer: 9:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 - -4. Suppose -5*v = -k*v. Let m(x) = -3 + 3*x + v + 0. Calculate m(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17751, 17766, 17779, 17790, 17799, 17806?\nAnswer: 17811","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*j - 10*j**2 + 4*j**2 - 11*j**2 - 8*j**2 to a + h*j**2 + i*j and give h.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -5*x**3 - 2*x**2 - x. Let f be g(-1). Let r = -5 + f. What is the remainder when 2 is divided by (-1)\/(-2) - r\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18635, -18633, -18629, -18623, -18615?\nAnswer: -18605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000076058 to 7 decimal places.\nAnswer: 0.0000076","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1607 + 4317. What are the prime factors of v?\nAnswer: 2, 1481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 584653 is divided by 812?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 37*d**3 + 4*d**2 - 4*d + 144. Let b(z) = -73*z**3 - 7*z**2 + 7*z - 289. What is 4*b(u) + 7*s(u)?\nAnswer: -33*u**3 - 148","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**2 - 15*t + 63. Let k be o(-8). What is the highest common factor of k and 238?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 0.1, -3\/3604, 1, 37?\nAnswer: -3\/3604","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 378 divide 5428458?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -5*o, -12*u + 8*u = 2*o - 122. Calculate the remainder when 299 is divided by u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10000111 (base 2) in base 4?\nAnswer: -2013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*m - 3*m + 51. Suppose -5*s + 2*l - m = 0, 12 = -5*s - l - 2*l. List the prime factors of 1 + 0 - s\/1.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -275 + 310 - (-2 + -7 + 5).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**3 + 80*d**2 + 447*d + 307. Calculate n(-74).\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 + 10. Let d(a) = -v + 3 - 2*a + 0 + 159*a**2. Is d(2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 42285110 or 42285108?\nAnswer: 42285110","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -2619309.\nAnswer: 4\/2619309","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**3. Let w(u) = u**3 + u - 2. Give -2*c(i) + w(i).\nAnswer: 3*i**3 + i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -12, 29, 104, 213, 356, 533?\n\"Answer: 17*j**2 - 10*j - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 117 + -47. Suppose 2*h - 9 = -5*p - 188, -h + 3 = 0. Let n = y + p. What is the remainder when n is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*w = 44*w + 14. Let u(x) = -x**2 + 5*x + 8. Let f be u(6). Solve f*m + 4 = -w*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 126411755 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -g**2 + 58472168*g = 0?\nAnswer: 0, 58472168","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 34 + -22. Does 4 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 2*z + 13662 = 0, 29*k - 10926 = 25*k + z. Does 131 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2268969 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, 1, 5, -3\/5, 233, -40?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 z when two letters picked without replacement from {q: 1, a: 2, c: 1, r: 1, f: 2, z: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*w - 3*w = 100 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*g + 147 + 7. Let l = g - -44. Suppose -l = -3*s + 44. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes after 6:56 AM?\nAnswer: 4:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 321392483?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 4) to base 5\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2) + 3 + 2*sqrt(2) - sqrt(288)\/sqrt(9).\nAnswer: -sqrt(2) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + k = 2. Suppose k*m - 4*m + 4 = 2*z, m - 5*z = -10. Let h = m + -2. Which is the closest to -0.2? (a) h (b) 4 (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 + 9. What is the lowest common multiple of u and 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.1286883 and 1.21.\nAnswer: 1.3386883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 246 + 221. Let r = y - 329. What is the tens digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 2*y + 454 = 0, 0*b + 2*y + 450 = 4*b. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 5*u + 4 + 1 = 0, 0 = v - 5*u - 35. Suppose -v*r = -5*r - 450. Is 30 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.4 (b) 6 (c) -4 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c when three letters picked without replacement from cccccvcccccccccccccc?\nAnswer: 17\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**2 - 22*c + 41. Let t be h(20). Suppose -2*k + 6 = 3*z + 2, -2*z + t = 3*k. Let l(d) = 14*d - d + 5*d + z*d. Let u(n) = 2*n**2. Give l(u(m)).\nAnswer: 40*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 836 + -549. Suppose 3*m - 5*x - 1175 = -m, -m - x = -n. Let p be m\/2 + (1 - 2). What is the highest common divisor of p and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 250.6513 centuries?\nAnswer: 25065.13","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 6*b = 176. Suppose 0 = b*k - 28*k + 192. Solve 0*z - k = 4*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 + -2)\/((-13)\/(-26)). Does 4 divide 2\/(12\/(-39))*m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.006 and -6.210775054.\nAnswer: -6.216775054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -11465 and -0.13?\nAnswer: 11464.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the third derivative of y**5\/60 + y**4\/8 - y**3\/3 - y**2. Let g be h(-3). Let q = g - -12. Solve -5*w - r - q = 9, -11 = 5*w - r for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 227*b + 1415*b = -470*b - 2505 + 165129 for b.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*l + 4*l + 32. Let y = -9 - l. Is y less than -1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2677\/470 - -404\/47. Calculate the common denominator of 25\/1772 and h.\nAnswer: 8860","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/((j*j**4*j)\/j))\/(j*j*j*j**(-8))*(j**(-2\/7)*j*j)\/(j\/j**(-1\/3))*((j**(-11)*j)\/j*j**4*j)**(2\/11) assuming j is positive.\nAnswer: j**(67\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2663, -2662, -2661, -2660?\nAnswer: -2659","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -5752703 * 0.5\nAnswer: -2876351.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -4 - 4. Suppose 3*j = -y - 18, 4*j + 0*j = 5*y - 5. Sort y, n, -71 in decreasing order.\nAnswer: n, y, -71","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 271*y + 4127 = 1417 for y.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n**3\/2 - 23067*n**2\/2 + 11535*n = 0 for n.\nAnswer: -7690, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-1036)\/(-35))\/(((-448)\/60)\/8). Let r = -258 - -225. Which is smaller: r or o?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8276506 to the power of 1\/2, to the nearest integer?\nAnswer: 2877","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = -4*j + 15, j - 4*j = y + 8. Suppose -y*k + 3*k + 40 = 0. What is the greatest common divisor of k and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -2. Let b(x) = -x + 22. Let m(n) = -2*b(n) - 22*l(n). Let t(h) = -100*h**2. Calculate t(m(s)).\nAnswer: -400*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ajj when three letters picked without replacement from aajaja.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 214976?\nAnswer: 2, 3359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -7118071, -7118027, -7117983?\n\"Answer: 44*b - 7118115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*q - 5071 = -24001. Let m = -1817 + q. Is -555 at least m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u - 67 = 5*p, p + 79*u = -6*p + 57*u + 265 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/3, 0.3, 0.11, 2\/19?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 105868879 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -7*h**2. Let q be (-9)\/36 - (-30018)\/8. Let u(n) = -1 - 3742*n + q*n + 1. What is u(z(t))?\nAnswer: -70*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 84111?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/8 in 4, 0.09, -3, 16814, -4?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1304 - 1288. Is -12 bigger than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -4*s**2 - 4*s + 1. Let a(f) = 25*f**2 + 25*f - 6. Give 6*a(u) + 39*k(u).\nAnswer: -6*u**2 - 6*u + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**1)**(-49)\/(i**(-1\/2)*i*i\/(((i\/(i*i*(i*i**(-1\/7))\/i*i*i*i))\/i)\/i*i)*i*i)*((i\/(i**(4\/7)\/i))\/(i\/(i*i**(2\/15))))**(-1) assuming i is positive.\nAnswer: i**(-12373\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*m - 95 + 79 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1348701 or -1348707?\nAnswer: -1348707","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 308621385?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -37 + 28 + 2 + -13 - ((0 - -1) + -8)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**3 + 2*j**2 + 3*j + 3. What is the remainder when 29 is divided by q(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 636?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1190*z + 10*z + 587*z - 41*z**2 + 53*z**2 + 593*z.\nAnswer: 12*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 12 = 0, -2*l - 5 = 3*l + 5*n. Suppose l*b = 24 + 9. Is 4 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6.5 - -78.5. Let v = 84.99949 - w. What is v rounded to four decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 35*p**2 + 38*p. Let y(u) = 15939*u**2 - 17059*u**2 + 473*u - 1688*u. Let t(r) = 195*m(r) + 6*y(r). What is the second derivative of t(o) wrt o?\nAnswer: 210","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*r**4*x**2 + 26225*r**3*x**2 + r*x**2 - 1233*r - 11*x wrt r?\nAnswer: -24*r**2*x**2 + 157350*r*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-6*(-5 + sqrt(12) + 0))**2.\nAnswer: -3996 + 2160*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:44 AM and 2:07 PM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4\/17 (b) 6 (c) -4 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/((t**(-17)*t*t)\/t))\/t)\/t**23*((t**(-7\/4)*t)\/t)\/t**(-4) assuming t is positive.\nAnswer: t**(-19\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 213 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.8, -21, -7, 5?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:13 AM and 4:01 PM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v = 6*v. Suppose -4*j + 106 = -v*j - 2*m, 5*m - 99 = -4*j. What is the remainder when j is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 957620649 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, a: 2, y: 1, q: 5, u: 7}. What is prob of picking 1 y, 1 a, and 1 u?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put together 5715659066.3689 and -0.3.\nAnswer: 5715659066.0689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and 180?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9\/2? (a) 18 (b) 4 (c) 0.23 (d) -3\/5 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 90345.31 millilitres to litres.\nAnswer: 90.34531","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 42126.81nm?\nAnswer: 0.00004212681","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5153530 a multiple of 223?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4230 and 225.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f - 8. Let t be l(5). What is the units digit of (-22)\/t + 2\/3?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j + 3 + 7 - 7)*(-j**3 - 2*j**3 - 4*j**3).\nAnswer: -21*j**4 - 21*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 + -3. Let t(q) = -16*q**2 + 3*q - 1. Let a(c) = c. Let y(v) = 3*a(v) - t(v). Is y(u) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the third derivative of -i**4\/12 - 5*i**3\/6 - 10*i**2. Suppose -8 = -4*s, 29*x = 27*x + 4*s - 8. Calculate o(x).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 9*n)*(-11 - 18 - 1) + (n + n - n)*(2 + 2 - 3) - 2*n + 0*n + 0*n - 4*n + 2*n + 4*n + 0*n - 4*n + 5*n.\nAnswer: 272*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:43 PM and 2:43 AM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4784876 hours in microseconds?\nAnswer: 1722555360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 3) + 11 + -11?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(50)\/(sqrt(40) + sqrt(640)).\nAnswer: sqrt(5)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 36334446?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -5*p + 5*b + 9, -5*b - 529 + 501 = 4*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 106\/((-7)\/(7\/2)). Let v = 102 + r. Does 22 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 292893?\nAnswer: 3, 17, 5743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2 and 458.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3 - 1 - q**2 + 3*q - 2 wrt q.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**2 + 8*a - 2. Suppose 0 = 6*s - 2*s - 2*p - 24, -2*p = 0. Give t(s).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/708 and -53\/4474855?\nAnswer: 53698260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, j: 3, e: 2, v: 1, u: 1, c: 4}. Give prob of sequence juv.\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -26908*l. Let o(a) = 130*a. What is 620*o(d) + 3*x(d)?\nAnswer: -124*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 2*j**2 + 135*j - 359. Determine a(-70).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -717*a**4 + 105473*a**2 - 176403211*a.\nAnswer: -8604*a**2 + 210946","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 251 a factor of 353910?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*g + g + 2*g)*(10 + 2 + 11 + (4 - 1 - 2)*(-2 - 2 + 5))*(-9 + 4*g + 9) to the form r*g + v + t*g**2 and give t.\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -5*v - 5. Let t(b) be the second derivative of -2*b**3\/3 - 3*b**2 + b + 1113. Calculate -5*d(k) + 6*t(k).\nAnswer: k - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*d + d + 4*d + (-1 + 0 + 2)*(5*d - 1 + 1) + 74*d + 47*d - 25*d + (-5 - 3 + 3)*(3*d - 5*d + 3*d) as f + r*d and give r.\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -59*j - 1937. Determine w(-33).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s + 2*d - 6 - 2, 5*d = 25. Let l(n) be the third derivative of n**4\/24 + 15316*n**2. Let b(o) = -3*o - 10. What is s*b(u) - 2*l(u)?\nAnswer: u + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**(-3\/4)*u**7)**(-50) assuming u is positive.\nAnswer: u**(-875\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.096 to 2 dps.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q = -3*d + 18, d + 4*q - 5*q = 6 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 193 + -190. Let o = -1 - -3. Which is the second biggest value? (a) o (b) q (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 166163 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (768\/1287 - 90\/165)*1\/2?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/536? (a) -3\/5 (b) -0.4 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 1280.4123 months?\nAnswer: 0.106701025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/902 and -45\/26426222.\nAnswer: 290688442","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -162abb + 4?\nAnswer: -162ab7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40438 = -117*c + 41491 for c.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 735 (b) -1\/5 (c) 0.1634 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the second derivative of -11*m**6\/30 - 7*m**3\/6 + 3*m. What is the second derivative of c(i) wrt i?\nAnswer: -132*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -3 from -2500022.54274879.\nAnswer: -2500019.54274879","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 1)*(0*q**3 + 5*q**3 - 3*q**3) - 3*q**3 + q**3 + 3*q**3 - q**3 - 5 + 5 + (-q + q + 2*q**2)*(12*q + 0*q + 2*q).\nAnswer: 32*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**8\/(t\/(t*t\/(t*t**(-2)))))\/(t\/(t**0\/t*t)*t*(t*t\/((t**(-9)\/t)\/t)*t)\/t) assuming t is positive.\nAnswer: t**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11007 is divided by 30.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2039.999998766 + -2040. What is y rounded to seven decimal places?\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**2 - 5*q + 5. Let w be k(4). Calculate the greatest common divisor of 4 and w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (1 + 18) - -12?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -425*z**2 - 381 wrt z?\nAnswer: -850*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.5 plus 335782666?\nAnswer: 335782655.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3 + (0 - (3 + -3)). Let z(b) = -b**3 + 4*b**2 - 4*b + 4. Let g be z(p). Let l = 41\/5 - 8. Which is smaller: l or g?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -149\/16634718 and 13\/66538872.\nAnswer: 66538872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**2 + i + 139. Let v be h(0). Let s = v + -70. List the prime factors of s.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d\/(d*d*d**(-3\/5)*d)*d)\/d*d**5*d*d)\/((d*d**(2\/13))\/(d\/(d*d**(-4)))) assuming d is positive.\nAnswer: d**(614\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -129 in -3, -0.4, 6?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 198 is divided by 80?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oekxt. Give prob of picking 1 k and 1 e.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 9 = -3. Is 1\/a - (669\/12)\/(-1) a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*f**3 - f**2 + 0*f - 12*f**2 + 0*f to the form c*f + w + a*f**3 + m*f**2 and give m.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*a**2 + 9*a**2 + 9*a**2 + 2*a**2.\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32179 is divided by 30038?\nAnswer: 2141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.10309 - 36007.\nAnswer: -36007.10309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 211 + -15?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 2*y. Let n be q(1). Let x be (n\/1)\/(8\/12). Is 0 - (-90 - (-3)\/x) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -1 + 5 - l - 8*l**2 + 6*l. Let p = -3 + 7. Let c(k) = 15*k**2 - 9*k - 7. Let n(z) = p*c(z) + 7*d(z). What is the second derivative of n(w) wrt w?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-132)\/10*6\/12*-10. Suppose 0 = 2*w + t - 410, -p = -w - 4*t + 153. Is w a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000002031932 rounded to 5 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(2\/7)\/j)**(-3\/19)*j**5*j*j**(-4)*j)\/((j**(-1\/4)*j)**(-13\/7)\/(j*j\/(j**(-1)*j)*j*j\/j**4)) assuming j is positive.\nAnswer: j**(2397\/532)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**3 - 14758*m**2 + 27173094*m + 190935486.\nAnswer: 2*(m - 3693)**2*(m + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/10*1)\/(31\/(3255\/(-1218)))\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-46)\/(-18) - ((-22)\/(-8) - (-25)\/100)\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3388085 is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 16031 by 12310.\nAnswer: 16031\/12310","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the third derivative of y**4\/24 - 47*y**3\/6 - 25*y**2 - 2. Let s(a) = -2*a. Give s(h(m)).\nAnswer: -2*m + 94","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the second derivative of n**5\/20 - 7*n**4\/6 + 5*n**3\/3 + 6*n**2 - 8*n. Is v(17) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0088 plus 588389?\nAnswer: 588389.0088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -64 + 64 - 12*u - 2*u + 4*u - u + (0 + 1 + 1)*(2 - 2 + 2*u) + 0*u + 0*u - 2*u + (-4*u - u + 0*u)*(-3 + 1 + 0) as r*u + y and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 60601854?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*i = -46*i + 80. Solve -2*t - v = i, -8 = -0*t + 4*t - 3*v for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.35 - 0.65. What is the nearest to -1\/3 in 2, x, 3\/7?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 37047803 to the nearest integer?\nAnswer: 6087","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Total of 5 and 0.046662.\nAnswer: 5.046662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 32156803?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 + (-2*10)\/(-4). Suppose 2*d + 18 = 6*h - 4*h, x*h = d + 24. Let k(l) = -l**3 - 4*l**2 + 6*l + 6. Let z be k(-5). Put 4, h, z in increasing order.\nAnswer: z, 4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -34, 43, -3 in increasing order.\nAnswer: -34, -3, 3, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**2 + 18*p - 20. What is h(-19)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -3*h. Let r(n) = -54*n**2 - 1481. What is a(r(i))?\nAnswer: 162*i**2 + 4443","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*n\/(n*n\/(n\/(n\/(n*((n*n**14*n*n)\/n)\/n*n)))))\/n)\/n**(3\/2)*(n**(4\/9))**39)**(-3\/35) assuming n is positive.\nAnswer: n**(-191\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (28\/(-126) - 10\/36)\/((-26)\/(-312)). Put -166, x, -3 in decreasing order.\nAnswer: -3, x, -166","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3836 + 2596. Let g be 4\/(-10) - 886\/q. Let h = 2\/31 - g. Which is smaller: 1\/11 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 144 and 2578048.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 + 2 = 5*b. Let v(t) = -t**3 + 5*t**2 + 6*t + 5. Is v(b) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90*d + 26*d = -f - 3, -12 = -2*d + 4*f for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 4, 227788, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**2 - 8*j - 11. Calculate the least common multiple of t(-5) and 1.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2 and 301608?\nAnswer: 301608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3\/44, 119\/2 in decreasing order.\nAnswer: 119\/2, -3\/44, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2020, -2893, -3766, -4639?\n\"Answer: -873*r - 1147","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z - 3. Let u be (-7 + (-1 - -1))\/(-1). Let g be f(u). Suppose 5*t = 2*y + 3*y, -5*t = y. Solve -g*d = -y - 12 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15 - -20. Let v(a) = -a**4 - 15*a**3 - 9*a**2 + 8*a + 8. Let i(g) = -3*g**4 - 60*g**3 - 36*g**2 + 33*g + 33. Let z(j) = t*i(j) - 21*v(j). Factor z(m).\nAnswer: 3*(m + 1)**3*(2*m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**3 + 11*j**2 - 2*j - 11. Let k be x(-11). Suppose 1 + k = 6*i. Solve -3*v + 0*v + 5*w + 35 = 0, i*v - 2*w - 18 = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(252) - sqrt(252)*-1) + (sqrt(252) - (-1 + sqrt(252)*1 + sqrt(252))) + -4)**2*6.\nAnswer: 144*sqrt(7) + 1536","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 547 - (1 - (6 + -11)).\nAnswer: 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*k**3*z - 1493*k**3 - 480*k*z wrt z.\nAnswer: -2*k**3 - 480*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/(-4) + 3\/(-6). Let v be 6 - (-2)\/((3 + c)\/2). Differentiate -v - 7*q**3 + 2*q**3 - 27 + q**3 with respect to q.\nAnswer: -12*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9471897 divided by 9.\nAnswer: 1052433","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v**2 + 0*v**2 - v**2)*(10*v + 9999 - 48*v - 10031).\nAnswer: -38*v**3 - 32*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 334 - 190. Suppose f - 4*w = 261 + o, 0 = 2*w - 6. What is the hundreds digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -349, -6, 5, -3, 4 in increasing order.\nAnswer: -349, -6, -3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**8*k**(5\/7)\/k*k)**22 assuming k is positive.\nAnswer: k**(-968\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 618739 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (63 - 100) + (-16)\/80*-565\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*x**2 + 50*x**2 - 15*x**2.\nAnswer: 7*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 - -10. Suppose 3*y + 4*s - 30020 = 0, 4*y + 6*s - 40020 = w*s. Round y to the nearest ten thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 + -6. Let z be 1 + (-12)\/j + -1. Solve 14 = z*h - 1 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 + 0. Let h = -0.03 + -0.01. Let g = h + -0.26. Is s bigger than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 20 + -31. Let q(d) = -5*d**3 - 15*d**2 - 26*d + 4. Let s(l) = l**3 + 3*l**2 + 5*l - 1. Let y(i) = a*s(i) - 2*q(i). What are the prime factors of y(-3)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*d**3*s**4 - 8*d**3*s**2 + 2*d**3 + 13*d*s**4 + 5*s**4 + 5*s**2 wrt s.\nAnswer: -48*d**3*s + 312*d*s + 120*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 9*o + 62. Let m be k(3). Let c = -8 + 92. Let t = m - c. Solve -5*u + 17 = -l, t*u - u - 16 = 2*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of p**4*v + 479822*p**3*v - 2*p**2*v + p*v + 310026*p - 2*v + 1 wrt p.\nAnswer: 12*p**2*v + 2878932*p*v - 4*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -86 + 86 - 9*x as r*x + f and give r.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:22 AM and 7:33 AM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*4*((sqrt(484)*-1 + sqrt(484))\/(sqrt(2) - sqrt(8)\/sqrt(4)*-2) + -1))**2.\nAnswer: 576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 - 2)*(-11*h - 2*h - 6*h**2 + 11*h)*(4 - 4 - h).\nAnswer: 12*h**3 + 4*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the second derivative of 0*w**2 + 0*w**4 + 1\/126*w**7 + 0*w**5 + 0 + 1\/90*w**6 + 0*w**3 - w. Factor c(u).\nAnswer: u**4*(u + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.5 (b) 4 (c) 1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 275 and 275.\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -13834 divided by 13834\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d - 4*d + 2*d)*(-4 + 1 + 4) + 3*d - 4*d - 2*d + 0 + d + 0 + (0 + 1 - 2)*(-2 + 2*d + 2).\nAnswer: -6*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -30*u**3 + 63*u**2 - 60*u - 6. Let x(p) = p**3 - p**2 + p - 8. Let o(w) = q(w) + 33*x(w). Factor o(a).\nAnswer: 3*(a - 3)*(a + 3)*(a + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the first derivative of 3\/2*x**2 + 7*x + 8. Calculate h(-6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3*(6 - (-19)\/(-3)). Let q = 7.8 + -8. What is the second biggest value in q, -3, v?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 18086138.53 + 0.4.\nAnswer: 18086138.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*x + 77 = -3*x - 4*s, -3*x - 5*s = -61. Suppose -t + 35 = 4*t. Let b = x - t. What is the greatest common divisor of b and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i + 21. Let j = 108 + -120. Give u(j).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 e when two letters picked without replacement from etiehrhi?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, n: 1, t: 1, d: 1, r: 2}. Give prob of picking 2 i and 1 d.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.1 (b) 4375 (c) 0 (d) -9 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -326534, -325108, -323682?\nAnswer: -322256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 2*f**2 + 6*f + 1. Let p be (-51)\/9 - 4\/(-6). What are the prime factors of n(p)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24 + 29 + 27 - 83 - 1025*r + 71*r - 553*r.\nAnswer: -1507*r - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -122783, -245456, -368133, -490814, -613499?\n\"Answer: -2*h**2 - 122667*h - 114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 32d4e (base 15) in base 13?\nAnswer: 58748","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 64704\/(-409792) + (-1)\/((-57)\/(-5121)).\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 2*p**3 - 39*p**2 - 7*p - 24. Let r(k) = 3*k**3 - 57*k**2 - 10*k - 36. Let q(h) = 7*d(h) - 5*r(h). Is q(11) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**3 + 0*n**3 - 5 - 3*n - 5*n**2 + 0*n**3. Let h = -514 - -737. Suppose h = -5*q + 253. Determine r(q).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -74, -145, -216, -287, -358, -429?\nAnswer: -500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1234964333?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -85350, -170715, -256092, -341481, -426882?\nAnswer: -512295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a meter in millimeters?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dzzzzzdlzz. What is prob of sequence ldz?\nAnswer: 7\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (31 - 105*g - 31)*(-1 + 2 + 2)*(2 + 0 + 0).\nAnswer: -630*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(21)\/sqrt(3)*-3 + sqrt(63)\/(sqrt(45)\/sqrt(5)).\nAnswer: -2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.6 + 1.6. Let s be (-8)\/(-42)*(-9)\/6. Do s and z have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 14083855 to the nearest integer?\nAnswer: 241","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j - 3*r - 5 + 10, j = 3*r + 2. Let n(q) = -q**3 - 6*q**2 + 6*q - 2. Let h be n(j). Solve 2 = -h*v - 2*y, -2*v + 2*y - 20 = -2*y for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3569681627.\nAnswer: 23, 155203549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ko when two letters picked without replacement from {o: 2, k: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16 + 7 + -10 - -10) + 20.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/(-24)*(1 + 1). Suppose 7*z - 17 - 4 = 0. Let h(q) = -q**2 - 65*q - 713. Let f be h(-51). Which is the nearest to f? (a) -3 (b) g (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.72 * -73.\nAnswer: -52.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 1036.\nAnswer: -1\/518","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = -5*k + 3*k + p, -21 = 4*k - p for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5675 - -5675.4. Put 2\/59, w, -0.6, 0.5, 5 in increasing order.\nAnswer: -0.6, 2\/59, w, 0.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 428.36 - 41.86. What is y rounded to the nearest 10?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 190627249 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -2*r**3 - 5*r**2 - r - 2. Suppose -2*n + y + y = 12, -2*y + 24 = -5*n. Does 13 divide i(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -53*(2 + -1 + -2). Let t = 321 - 240. Let l = t - s. What are the prime factors of l?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 15543741 - 1?\nAnswer: 15543740","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -19 in -2.07, 3, -1?\nAnswer: -2.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 5*r + 10 = 0, 0 = d + 4*d + 4*r + 8. Let l = 26 - 22. Suppose -t = -l + 2. Sort -3, d, t in descending order.\nAnswer: t, d, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-30))\/(52\/(-156)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 13*j + 7*j + 4*j)*(2*j + 4*j + 2*j).\nAnswer: -16*j**2 - 32*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are 62 and -1471493 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -52*u - 131227 + 195192 + 312983. List the prime factors of u.\nAnswer: 11, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 24*l - 14 + 22*l)*(0 + 0 + 3) + 15*l - 28*l + 12*l.\nAnswer: -7*l - 48","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 28*p + 89*p + 91*p - 208*p + 63156*p**4 + (-2*p**2 + 1 - 1)*(0 + 2*p**2 + 0) as b*p + x*p**4 + l + k*p**2 + o*p**3 and give x.\nAnswer: 63152","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = n - 2*y - 11, -4*y = -12. Suppose 9*x = n*x. Suppose -3*j + 5*v + 73 = x, j + 24 = 2*j - 2*v. What is the greatest common divisor of 130 and j?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, m: 1, e: 2}. What is prob of picking 2 e?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -948 divided by 2\nAnswer: -474","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m*m**(-1\/4)*m\/(m*m**(-4)))\/((m\/((m**(-2\/7)\/m)\/m*m))\/m*m\/m**3)*(m**(5\/3)\/m*m**7\/m)**(-1) assuming m is positive.\nAnswer: m**(-17\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -4*t**2 - 2*t + 1. Let m(f) = 2*f**2 + f. Let q be (-13)\/26 - 11\/(-2). Calculate q*m(u) + 2*r(u).\nAnswer: 2*u**2 + u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, -0.2, -22, 0.07?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.25 + 0.05. Let m be (9 - 0) + -5 - 327. Let j = m - -327. Put h, -2\/11, j in descending order.\nAnswer: j, h, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6926942?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y + 216*l - 252*l - 178 = 0, 4*y = -0*y + 7*l + 39 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add 159626 and 0.13782.\nAnswer: 159626.13782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 945\/11 not equal to 86?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lglgqgglgggvl. Give prob of sequence gq.\nAnswer: 7\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**4\/8 - 7*c**3\/8 + 3*c**2\/4 + 4*c - 4.\nAnswer: (c - 4)**2*(c - 1)*(c + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 2 l when four letters picked without replacement from {w: 3, a: 3, p: 6, e: 6, l: 2}.\nAnswer: 1\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*g**2 - g**2 + g**2 - 4*g**2 + 0*g**2 + 5*g**2 + (-2*g**2 - g**2 - 44*g**2)*(0 - 2 + 4) - g**2 + g**2 + 2*g**2.\nAnswer: -89*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes before 7:36 AM?\nAnswer: 9:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*w = -11*w + 945. Let a = -51 - w. What is the greatest common factor of a and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 1252 = 2369. Is u a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**5 - 12*k**4 + 18*k**3 - 12*k**2 + 3*k.\nAnswer: 3*k*(k - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 3225?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 163624 and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 14c + -10?\nAnswer: 13c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (725\/(-75))\/(34\/(-102)).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) 5 (c) 2 (d) 1.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -3*z + 310. Suppose 4*v + 68 = 3*c, v + z = 4*c - c. What is the lowest common multiple of 3 + 0 + 0 + 1 and c?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a meter in centimeters?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 4 = 4*u, -8*x + 11 = 3*u - 7*x. What is the nearest to -2 in 0.4, 1\/4, u, 2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7.233000643 - -0.892997513. Let z = 6.34 + y. What is z rounded to seven dps?\nAnswer: -0.0000031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 751186 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 23436 + -25342. Is -1907 <= m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h - t - 466 + 481 = 0, 0 = 5*h + t + 12 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes after 2:29 AM?\nAnswer: 6:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 298 = 3*q + 391. Let z(v) = -v**2 - 51*v - 86. What is the remainder when z(q) is divided by 67?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:35 PM and 10:45 PM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 6*m - 196. Calculate b(0).\nAnswer: -196","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (0 - 9) + 31 + -32?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 16 + -19. Let c = y + 1. Put 1\/5, 1\/3, c in decreasing order.\nAnswer: 1\/3, 1\/5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**2 + 6*u - 14. Let o be b(4). Let t be 1 - o - 6\/(-12)*-8. Find the common denominator of (-41)\/6 + -4 + 18\/t and 101\/16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o**5 + 12761*o**4 + 40678867*o**3 - 203611321*o**2 + 325890448*o - 162970756 = 0. Calculate o.\nAnswer: -6383, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -547524*y**2 - 1816*y + 1816. Let u(q) = 905*q**2 + 3*q - 3. Determine -3*k(o) - 1816*u(o).\nAnswer: -908*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12960 and 72?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(1*-1*sqrt(60) + sqrt(60)))\/(-2*(sqrt(12) - 1*sqrt(12)) + sqrt(24)\/(sqrt(4)\/sqrt(2))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/10*12\/((-48)\/(-20)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16237 - -16303. Let c = 112 + -24. Calculate the greatest common factor of u and c.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 81 divide 192744?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -103*y - 99*y + 305*y - 102*y.\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 33 + -15. Let u = -4 + v. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**2 - 318*y - 320.\nAnswer: 2*(y - 160)*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 197425149 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 81 less than -4778388?\nAnswer: -4778469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -2*k**2 - 11*k + 9. Let l be q(-6). Let n = -1 - -2. Suppose 2*t - 9 = -n. Sort l, t, 5 in ascending order.\nAnswer: l, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 21 - 103?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2 and 18?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 656 = 7*d - 11398. List the prime factors of d.\nAnswer: 2, 3, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -91982645604094 - -1.\nAnswer: -91982645604093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r*r\/r**(-2\/5)*((r\/(r**(-3\/2)\/r*r*r))\/r)\/r*(r**(2\/3))**(-1\/23)*(r\/(r*r**(-3))*r**(-2\/5))**(-5\/4) assuming r is positive.\nAnswer: r**(-1903\/1380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -0.4, 9\/2, -850, -2, -3\/7, 3?\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 92382?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 264.663 centuries?\nAnswer: 26466.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (30\/4 + -5)\/((-2)\/(-4))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/((k**0*k)\/k))**(-13\/2) assuming k is positive.\nAnswer: k**(-13\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/5? (a) -3 (b) 13 (c) -1\/184\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * 399188\nAnswer: 159675.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the third derivative of c**8\/2880 + 29*c**5\/60 - 3*c**2 + 3*c. Let z(m) be the third derivative of x(m). Let u(h) = -6*h**2. Determine z(u(a)).\nAnswer: 252*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*x\/x**(-2\/7))\/x)\/(x**(-2)*x*x*x))**(-18)\/(((x\/(x\/(x*x**(1\/2))))\/x)**(2\/71))**(-9) assuming x is positive.\nAnswer: x**(-2493\/497)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**2 + s - 37. What is v(5)?\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6903.\nAnswer: 3, 13, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 o and 1 t when four letters picked without replacement from dtodoododo?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the third derivative of 30 + 0*b**3 + 0*b**4 + b**2 + 0*b + 1\/15*b**5. Let d(o) = -8*o. Determine d(f(t)).\nAnswer: -32*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -3312\/101 <= -32?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 140*n**2 - 2*n - 2*n - 142*n**2 + 23*n to the form v + w*n + h*n**2 and give w.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2995 - -3278. Which is the nearest to 0.3? (a) 0.5 (b) 4 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that i**3 - 590*i**2 - 160125*i - 2265750 = 0.\nAnswer: -190, -15, 795","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 527*q + 439*q - 1185*q.\nAnswer: -219*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.6 - -0.2. Which is the third smallest value? (a) 3 (b) -1\/6 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10 and 22.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 0.09, 120 in increasing order.\nAnswer: 0.09, 0.3, 120","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4.684 + 0.684. Sort w, -5\/6, 3, 4\/99 in descending order.\nAnswer: 3, 4\/99, -5\/6, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1859?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 114023422.\nAnswer: 2, 151, 377561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of -28.419 and 4.\nAnswer: -113.676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 283 in -3\/5, -121, -4\/5, 0.6?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5160767 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 8\/(-52) - ((-106)\/13 - -3). Solve 7*j = i*j + 4 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12 and 74.\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8.96 - 9. Let g = -0.34 - n. Let k = 5.02 + -0.02. What is the nearest to 0.2 in 2, g, k?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*r + 1 - 1)*(-r - 4 + 4) - 3*r + 5*r**2 + 3*r)*(18 - 16 - 22)*(-4*r - 3 + 3)*(-5*r**2 + 3*r**2 + r**2).\nAnswer: -240*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -2*x. Let s(v) = v. Suppose -5*p + 7*j - 3*j = -11, 4 = 2*p - 2*j. Let k(m) = p*s(m) + t(m). Let c(q) = -2*q + 13*q - 9*q. What is c(k(w))?\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1697 - 1729. Let g = -106 - -76. Let h = g - p. Solve -5*c + 4 = -2*n, -h*c + 6 = -5*n - 4 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*k**3*m*z + 2*k**3*m + 5*k**3*z**2 - 1583*k*m*z**2 - 8*k*m*z + 11*k*m + z wrt z?\nAnswer: 10*k**3 - 3166*k*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3577?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0080911948 to four dps.\nAnswer: 0.0081","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-66)\/((-3 - -1)\/12). Let z be 9\/(-15) + t\/10. Let u = z + -3. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*q + 2*g - 12, -q + 97*g - 17 = 92*g for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 75688 to the power of 1\/2, to the nearest integer?\nAnswer: 275","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**2 - 56*l - 476. What is the remainder when k(-27) is divided by 52?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((n\/n**(-5\/2)*n*n)\/n)\/n)\/n**(-2\/57)*(n\/(n\/(n\/(n**(-18)\/n)))*n*n)\/n**6)**(-3\/14) assuming n is positive.\nAnswer: n**(-2227\/532)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/10)\/(59\/(-295))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000003338709 to 6 dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**2 - 9*f + 7. Let v be p(8). Let z = 13 + v. Solve 0 = r + 4*r - l + z, 0 = -3*r - 3*l for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -2*q**3 - 14*q**2 + 189*q + 1330. Give s(-7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1d1d8a + 21?\nAnswer: -1d1d69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -95557\/5 - -19112. Let b = -27.3 + 4.3. What is the closest to b in -3, j, 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the third derivative of -y**6\/40 + y**5\/60 + y**4\/24 + y**3\/6 + y**2 + 30*y. Give w(2).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -3*i + 8*q + 476, 0 = -4*i + 2*q + 628. Suppose 4*v + 44 = i. What is the greatest common factor of v and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -203 = 26*m - 33*m. Suppose -o - 2 = 2*q, 5*o + q - 4*q - m = 0. Solve -2*d + d - 5*j = 6, -4*j = o for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 91 - 1b?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 370217?\nAnswer: 370217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -566 = 236*i - 4578 for i.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -6*h**2 + 3*h - 1. Let o(x) = 11*x**2 - 6*x + 2. Calculate -7*j(p) - 4*o(p).\nAnswer: -2*p**2 + 3*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 189151 and 173.\nAnswer: 32723123","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the second derivative of -c**8\/420 - c**6\/36 + c**3\/6 - 6*c. Let z(l) be the second derivative of p(l). What is the third derivative of z(k) wrt k?\nAnswer: -96*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 101.\nAnswer: 3\/101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1002)\/(-48) + 1\/8. Suppose 4*y = -5 + p. Let w be ((-2)\/2)\/((-2)\/18). Solve -20 = w*a - y*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 348.5 rounded to the nearest ten?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 21a34 (base 11) in base 13?\nAnswer: 1166a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.0052 + 1.9948. Which is the nearest to 4\/9? (a) f (b) 0.1 (c) -2\/9 (d) -2\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -8*w**2 - 3*w + 6. Suppose -30 = -7*n + 47. Let j(k) = 3*k**2 + k - 2. Calculate n*j(v) + 4*o(v).\nAnswer: v**2 - v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 268.6468 years?\nAnswer: 3223.7616","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-1))**27*f**(-41)\/f**(-36))**(-1\/5) assuming f is positive.\nAnswer: f**(32\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -148 + 97. Which is smaller: z or -50?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**2 - 46*s + 45. Let h be y(45). Suppose -u + 3*v + 10 = -2, 4*u - 4*v = 24. Solve 6 = -u*d, 2*c + d + 10 = -h*d for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes after 7:24 PM?\nAnswer: 8:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 (base 8) in base 4?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 25948?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/3 + 10\/6. Suppose g + 1 = d. Suppose 0*a = -d*a. Sort 5, a, -5 in decreasing order.\nAnswer: 5, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:51 AM and 10:14 AM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**2 + 7*i + 6. Let p be (-4)\/22 - (-68)\/11. Suppose -3*y = -p*y - 15. What is g(y)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 7, -3, 11 in decreasing order.\nAnswer: 11, 7, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 174557 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -188*l**2*n*w**3 + 6*l**2*n*w**2 - 3*l**2*n*w + 4*l**2*w**3 - l*n*w - n wrt w.\nAnswer: -1128*l**2*n + 24*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m - 4*l - 0 - 4, 0 = -5*l. Let c be 42\/76 - (-72)\/(-144). Which is smaller: m or c?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 29, 27, 25, 23, 21, 19?\n\"Answer: -2*h + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -2*f - 4. Let w = 431 + -436. Let o be 4*w\/15*45\/12. What is k(o)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 470546?\nAnswer: 2, 235273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1204714 and 2793?\nAnswer: 931","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 49*h + 86. Let q(p) = 246*p + 432. Let f(a) = -14*i(a) + 3*q(a). Find the first derivative of f(u) wrt u.\nAnswer: 52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 165*y**3 - 11*y**2 - 730. Let w(c) = c**3 - 4*c**2 - 1. Let l(n) = -m(n) + 2*w(n). Differentiate l(t) with respect to t.\nAnswer: -489*t**2 + 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2975 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-40)\/(-14))\/(4\/63*234\/(-52)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 67*-1 - (-4 - -7). Let y be (((-2)\/(-5))\/(14\/b))\/(-1). Suppose 0 = 3*h - 4*q - 10, -3*q - 3 = 4*h - 8. What is the highest common factor of h and y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y - 8*y - 40 = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 20.92 - 21. Let l = -0.01 + 0.81. Let g = l + m. What is g rounded to one dp?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**3 + 436*z**2 + 979*z + 48171. What is a(-434)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:50 AM and 2:47 PM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-11)\/7)\/((-74690)\/1940)*112?\nAnswer: 32\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 - 1. Let p(t) = -t**3 - 2*t**2 + 3*t + 1. Let v be p(-3). Let z = v + b. Solve 4*y + 0*y - 4*k = 8, -z*y + 1 = -5*k for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2585694?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 520 and 312.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 135814?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -26*(-15)\/(-6)*8\/10. Let z be s\/182 - 1\/((-14)\/32). Find the first derivative of 13 - 3 + 36*f**2 - 37*f**z wrt f.\nAnswer: -2*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-7*25\/(-35))\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*q + 2*f - 218 = 5*q, 0 = -4*q + 3*f + 213. Solve -11*r + q = -1 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1815438?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1797 + 5*u - 5*u - 973 - u**2 to m + o*u**2 + l*u and give m.\nAnswer: 824","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-318)\/212*(32\/(-54))\/(-4)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*b - 2*b - 50 + 12 - 12.\nAnswer: 2*b - 50","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -40 - -56. Calculate the lowest common multiple of c and 30.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -102*s + 100*s = -6. Put 5, -7, s in ascending order.\nAnswer: -7, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4*-1 - (-139 + 14). Let x = h - -385. Suppose -s + 248 = -3*l, -8*s = -6*s - l - x. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(3\/2)*a)**(-41)*a**(-18\/13)\/(a*(a*a**31)\/a) assuming a is positive.\nAnswer: a**(-3533\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -4 - -4 - (621\/(-312) + 1) and -91\/12.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-2\/5)\/d)**(-41)\/(d**(-2\/7))**(-1\/77))\/((d\/d**(-2)*d)\/d**(3\/2))**(-3\/19) assuming d is positive.\nAnswer: d**(5918379\/102410)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*i**2 + 5*i**2 + 4 - 12*i**2)*(-3*i - 1 + 1).\nAnswer: -9*i**3 - 12*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 9 - -6?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0*(-2)\/6)\/2. Suppose 5*f + 0*c - 4*c = 49, u = -3*c + 12. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (3 - (-6 + -1 + 4)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/8 - 282\/(-48))*13\/91.\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62801728931 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -640 divided by -160\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b - 19. Let d(q) = q**3 - 2*q**2 + q. Let c be d(1). Let w be v(c). Is 16 a factor of (-2)\/(2\/w - 0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 64300 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**3 - 7*g - 4*g + 12*g. Calculate k(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 242.6 - 231.97. Let f = 11 - u. Let k = 0.19 - f. What is k rounded to one decimal place?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/((-20)\/45*((-2898)\/(-196))\/69)\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**3 - 77*r**2 + 361*r - 108. Determine f(72).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + (1 - (-6 + 6) - (0 + 1))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/2494 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -13 - -23. Suppose -2*k = k - 6. Suppose -22 = -4*q - 2*r + 4*r, 5*q + k*r = 14. Calculate the least common multiple of q and a.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d - 4 = -2*g, -1 = 5*d - g + 8 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c, -5*u - 3*c - 658 = -6*u. Let a be (-8)\/(-12) + u\/21. Let d be (-6)\/9 - (-98)\/3. Is d bigger than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15 - -14.9. Let a = 9 + -6.6. Let r = -0.4 + a. Which is smaller: t or r?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -2*a + 29. Let y be p(16). Let x be y\/9 + ((-52)\/(-12) - 0). Solve 0 = b - 2, 0 = -2*h + 3*h + x*b - 13 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -688655 or -688654?\nAnswer: -688655","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**2 - 2. Give d(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and 259.408.\nAnswer: 1297.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z = 66 - 36. Suppose -z*k + 714 = -2506. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07 plus -11.755?\nAnswer: -11.825","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/(-33) + 97\/11. Let c(o) = -o**3 + p*o + 2 + 6*o**2 + 3 + 0*o**3. Is c(7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a. Let f be k(9). Let o be 7\/(7\/(-2)) - 7. Let u be 2\/42 + 3\/o. Is u at most f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*c**2 + 3*c**2 + 5*c**2 + 0*c**2.\nAnswer: 4*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 760190 and 5035?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 610943 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 3 j when four letters picked without replacement from jbbbjfssfjjjbbbjsjf?\nAnswer: 35\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -69 - -103. What is the lowest common multiple of 12 and r?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 311.952 - 0.0054\nAnswer: 311.9466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the second derivative of 1687*w**4\/3 - 5441*w**3\/6 - w - 690. What is the second derivative of n(o) wrt o?\nAnswer: 13496","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2e985 (base 16) to base 10\nAnswer: 190853","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 2*r = 33. Let q = 30 + r. Is q a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -3*y**3 - 12*y**2 + 2*y + 15. Give x(-5).\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -58 + -0.07191.\nAnswer: -58.07191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes after 1:58 PM?\nAnswer: 8:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 2. Suppose -3*g - 15 = 0, 4*p - 10 = p - 4*g. Let l(r) = r + 10. Let z be (-5)\/2 - (-5)\/10. What is p*f(b) + z*l(b)?\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-180)\/(-105) + 790\/(-553)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21.59745 weeks to hours.\nAnswer: 3628.3716","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 162*i - 81?\nAnswer: 162","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**2 + 3*n. Let z be s(-5). Let a(k) = 19*k + 205. Let f be a(-9). Calculate the common denominator of (-323)\/f + (z\/12)\/5 and 27\/11.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -2*f + 3*f + 2*o, 0 = -5*f - o - 23. Let v(g) = -g**2 + 1. Let d(x) = x**2. Let p(a) = f*d(a) - v(a). What is the derivative of p(s) wrt s?\nAnswer: -8*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7*1536\/(-4480)*4\/(12\/(-65))?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -30*z + 1445. Let c be m(48). Let b(u) be the second derivative of -u**5\/20 + 5*u**4\/12 + 7*u**3\/6 - 3*u**2 + 5*u. Determine b(c).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:07 AM and 3:52 PM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 3*u**2 - 5*u - 7. Let z be a(-4). Suppose 4*c + 168 = 4*g, 5*g + 2*c - 202 = -c. Let p = z - g. Calculate the remainder when p is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in -0.04, -1800, 0.1?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fww when three letters picked without replacement from {f: 4, w: 7}.\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 7390004 a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(5)*1 - sqrt(5))*-1 + ((2*sqrt(120))\/sqrt(12))\/sqrt(2) - (-3*(sqrt(500) + -1) + sqrt(500)*1*-4)*-2)**2.\nAnswer: -1632*sqrt(5) + 92516","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 84.73948km to nanometers.\nAnswer: 84739480000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 285181413*u - 984024147.\nAnswer: 285181413","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b**5\/8 + 87*b**4\/8 + 39*b**3 + 75*b**2\/2 = 0. What is b?\nAnswer: -25, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3385, -6782, -10193, -13618, -17057, -20510, -23977?\nAnswer: -27458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 8*o - 5*b = 870, -o + 2*b = 171. Let q = o - -859\/5. What is the second smallest value in -0.4, 5, q?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in fifty-five quarters of a kilogram?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 126.32 or -1.2?\nAnswer: 126.32","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -172 - -3469?\nAnswer: 3297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 6, l: 1, d: 1, r: 1}. Give prob of picking 1 d and 1 l.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 15104362 to the nearest integer?\nAnswer: 247","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 346 a factor of 206103649?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, 2, -9 in decreasing order.\nAnswer: 2, -1\/4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 28*z**2 - z. Let u be o(1). Suppose -33*d = -93 - 39. Suppose 0*j = f - j - u, d*j = 20. What is the highest common divisor of f and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -2*o**3 + 2*o - 8. Let r(v) = 4*v**3 - 2*v + 9. What is 5*r(j) + 6*x(j)?\nAnswer: 8*j**3 + 2*j - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5205 - -5211. Let o = 4.5 - 1.5. Which is the closest to 2\/3? (a) n (b) o (c) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (40\/42 - 1)*90*(-35)\/(-350). Sort h, -41, 0.2, -2.\nAnswer: -41, -2, h, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the second derivative of 0*c**2 + 0*c**3 - 1\/12*c**4 - 11*c + 0. Let x(m) = 1 - 1 + 7*m. Determine x(b(t)).\nAnswer: -7*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times 4.877?\nAnswer: 0.4877","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 - -13. Let t(s) = 7*s - 5. Let w(q) = -6*q - 1. Let a(u) = -18*u - 4. Let h(j) = -5*a(j) + 16*w(j). Calculate l*h(x) + 5*t(x).\nAnswer: -x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14\/3 + 92\/9*h + 2\/9*h**4 + 4\/9*h**3 - 56\/9*h**2 = 0. Calculate h.\nAnswer: -7, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29463600799 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/4 of a millennium in years?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -5*g - a, 15 = 2*g + 5*a - 12 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/5)\/(0 - 6\/45)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 200 and 133600.\nAnswer: 133600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a kilometer in centimeters?\nAnswer: 48000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-300)\/74 + 2 + (-4 - 18)\/(-11)\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 3*x - 3. Let f(j) = -j - 1. Let w be f(-6). Let s = w - 1. Let k(b) = 3*b - 2. Let m(p) = s*i(p) - 6*k(p). Let h(z) = -2*z. Calculate m(h(o)).\nAnswer: 12*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -17 + 17. Solve p = -3*n - n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -194 + 205 - (2 - 0)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -249, -496, -743?\nAnswer: -990","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 6) to base 9\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -94*w**4*x**2 + 3*w**4 - 8*w**2 + w*x - 6*w - 3*x**2 - 53*x + 5 wrt w.\nAnswer: -1128*w**2*x**2 + 36*w**2 - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 * 1.22\nAnswer: -0.244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 23 - 8. What is the derivative of -q*c + 40 - c - 19 wrt c?\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/28*10)\/((-170)\/136).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.028 and -0.03.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3 - 2)*(-6)\/10. Let y = -2986 + 17831\/6. Find the common denominator of y and (-340)\/24 + (-1)\/l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*o*s*t**3 + 20*o*s*t + 5*o*t**2 - s**2*t**3 + 3*s**2*t - 6*s*t wrt t?\nAnswer: 12*o*s*t + 10*o - 6*s**2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a minute in seconds?\nAnswer: 18","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 26\/(-5)*(-470)\/(-188)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qbd when three letters picked without replacement from bbdqqbqd.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -4*r - 3, -r - 43 = -4*v. Suppose v*y + y - 110 = 0. Calculate the highest common divisor of 55 and y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2665532 a multiple of 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 3, x: 4}. What is prob of picking 3 x and 1 f?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 9 times 0.4\nAnswer: 3.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sum -423838105177.841 and 2.\nAnswer: -423838105175.841","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -2*p**2 + 44*p + 419. Give r(31).\nAnswer: -139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16799147, 16799178, 16799209, 16799240, 16799271?\nAnswer: 16799302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/6*4*(-1)\/(-12)*6.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/((-1)\/2) - -8. Let d(c) = c**3 - 5*c**2 + 3*c + 2. Let x be d(o). Suppose -l - x = -3*l. Does 17 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 325523 and 7?\nAnswer: 2278661","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.3 (b) 1\/21 (c) 1\/3 (d) -2\/127\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(5 + (sqrt(220)\/sqrt(5))\/sqrt(4) + (sqrt(121)*-4)\/sqrt(11)).\nAnswer: -9*sqrt(11) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000006699 rounded to seven decimal places?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2 - (280\/(-45) - 4\/(-18)). Suppose -3*w + 52 = 2*r - 30, -5*w + 130 = 2*r. Calculate the highest common divisor of w and i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**2 - 4*d + 30. Calculate v(-7).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*k + 10 = -6*k. Solve k*r + 12 = 5*j, 5*r = -0*r + 20 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/9*3 - -2. Suppose y = -2*v + 4*v. Suppose -18 = -2*o - i - v*i, -3*i - 9 = -3*o. Solve 5 = u + o for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 2*l - m = -83, -l - 7 = 3*m. Let q be (1\/(l\/(-36)))\/6. Put -3, q, 4 in decreasing order.\nAnswer: 4, q, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 211*l - 1540 = 207*l. What are the prime factors of l?\nAnswer: 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1451057 is divided by 385.\nAnswer: 377","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6925*q**3 - 2188*q**3 + 21308*q**3 + 8045*q**3.\nAnswer: 34090*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q, -2*f - q - 4*q + 6 = 0. Suppose 40*r - 32*r - 128 = 0. Solve v = -5*b + r, -f*v = -5*b + 15 + 17 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 552739351 to the nearest integer?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -7*o + 1. Let s be -3 - -2 - (-9)\/3. Suppose 0 = -s*p - 1 + 9. Let z(v) = 6*v - 1. What is p*l(b) + 5*z(b)?\nAnswer: 2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 2*u = 6, -g = -25*u + 26*u - 5. Solve -4*z = r + g, 4*z = 273*r - 277*r - 16 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 118699 is divided by 23.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117) + 2*(sqrt(117) - sqrt(117)*5 - sqrt(117)))\/sqrt(9) + sqrt(26)\/(-2*sqrt(288)).\nAnswer: -217*sqrt(13)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1029)\/196*108\/42*40\/(-9)?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*g**3 + 6102*g**2 + 4614384*g - 61022624 = 0. What is g?\nAnswer: -1532, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -10 - (-15 + 10) - (-37 - (-4 - -11))\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**2 - 5*p + 153. Let r be k(-12). Solve 0 = -5*q - r + 64 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let x = -223 - -227. Suppose -5*r + 8*r = 0. Put -1, r, x in increasing order.\nAnswer: -1, r, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 96546 and 21?\nAnswer: 675822","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -310 - 320 = 105*a for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3913? (a) 0 (b) -6 (c) -0.1 (d) 43\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -4767, -8779, -12791, -16803, -20815, -24827?\n\"Answer: -4012*c - 755","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 1133?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -2*d - 10. Let t be p(-9). Is 5 a factor of (150\/40)\/(2\/t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s = -y - 7, -5*s - 4*y = -3*s - 28 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 161*x**2 - 16*x**3 - 52 + 50*x**2 - 5*x - 213*x**2 + 23*x**3 as l + s*x + c*x**3 + q*x**2 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**2 + g - 1. Suppose 2*x + 4 = -4*k + k, -2*x - 28 = 15*k. Let p(l) = -7*l**3 + 4*l**2 + 3*l - 2. Calculate x*p(m) - 3*j(m).\nAnswer: -7*m**3 + m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1688 + 1692. What is the second biggest value in 1\/19, -2, -0.3, m?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 17.266, -1, 1\/4, 0, -0.5 in decreasing order.\nAnswer: 17.266, 1\/4, 0, -0.5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -408780*t**3 - 28*t**2 + 2*t + 1042461559.\nAnswer: -1226340*t**2 - 56*t + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -30, -66, -28 in increasing order.\nAnswer: -66, -30, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes after 9:32 AM?\nAnswer: 9:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*w**3 - w - 3*w**3 + 4*w**3 + 2 + 6*w to the form y*w**3 + l + v*w**2 + s*w and give s.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/2 of a litre in millilitres?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.1 (b) -4 (c) -2 (d) 225\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 260732, 260733, 260734, 260735, 260736, 260737?\nAnswer: 260738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m - m + 3*q + 30, m = -q. Suppose 0 = 4*d + 2*i - 14, d + 5*i - m = 4*i. Let z = 15 + -10. Sort -3, z, 1, d in decreasing order.\nAnswer: z, d, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wkn. What is prob of sequence nwk?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 7 - 2)*(7 + 6*p**3 - 7).\nAnswer: -6*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1394 + 1660 = -133*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 144 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -177 and -168?\nAnswer: 29736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 5706456?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 2*n - 49. Suppose 6*c = 4*b + 7*c - 79, 2*c = 5*b - 115. Give t(b).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 51\/2 of a millimeter?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (976\/1708)\/((-765)\/105)?\nAnswer: -4\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 - -4 - 6) + -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 506 is divided by 92.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the third derivative of -65\/24*h**4 - 5*h**3 + 8 + 0*h - 3*h**2. What is the derivative of m(r) wrt r?\nAnswer: -65","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 530242799 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - q + 29 = 0, -25*o - q - 31 = -28*o. Put 2, 0, -1, o in increasing order.\nAnswer: -1, 0, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 807*n**2 + 58*n**2 - 736*n**5 + 345*n**2 + 41*n**2 wrt n.\nAnswer: -44160*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 i when two letters picked without replacement from {c: 6, x: 1, z: 3, i: 2, s: 3}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(1*-2*sqrt(136) - 1*(sqrt(136)*-2 + sqrt(136)))\/(-6*(sqrt(8) - (sqrt(64) + sqrt(64)*3)\/sqrt(8)))*4.\nAnswer: 2*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x*x*x**(-12)*x\/(x**6\/x))**40 assuming x is positive.\nAnswer: x**(-520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.2 - -1.6. Let v = 1.6 - -4.4. Let y = 5 - v. Which is the smallest value? (a) y (b) s (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 104693 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -115\/38692398 and -67\/456.\nAnswer: 154769592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-11)\/4 - -2) + (-20)\/16. Let n be (-2)\/((-10)\/(-2) + -6) - l. Solve 12 = 2*r + n for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3201905 and 6168568.\nAnswer: 1511299160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 14 = d + 4, 3*n - 20 = -d. Suppose y + 3*c = d*y + 3, 2*c = 10. Let t be 1*(y + -4)*-5. Solve 4*m - 3 = t for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j\/(((j**(-1\/5)*j)\/j)\/j*j*j)*j\/j**(-3\/11) assuming j is positive.\nAnswer: j**(81\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.6189, -5, 25.3.\nAnswer: -5, -0.6189, 25.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -307, 0.1, 5669\/2, -1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -4*o + 9. Suppose o*m = 45 + 11. Suppose -m = -5*n + 7. Solve 2*c = n*c + 25 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 - -200111100200?\nAnswer: 200111100201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3236795797 to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -747bbbc - 3?\nAnswer: -747bbc0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -2399\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.50183mg to nanograms.\nAnswer: 3501830","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*n*s**5 + 3*n*s**2 - 2*n*s - 39*s**5 - 458*s wrt s.\nAnswer: 100*n*s**3 + 6*n - 780*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2565.366 micrometers to meters.\nAnswer: 0.002565366","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -467, -937, -1407, -1877, -2347?\nAnswer: -2817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes after 9:40 PM?\nAnswer: 7:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 333*m + 17016. Let q be y(-51). Let u be 820\/15 - (-2)\/6. Calculate the greatest common factor of u and q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 73 (b) -334 (c) -6976\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 + 2*p - 2*p - 2*p)*(2 - 2 + 1 + (3 + 0 - 5)*(2 + 2 - 5) - 6 + 5 - 1).\nAnswer: -2*p + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00696141421 to 6 decimal places.\nAnswer: 0.006961","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17894?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 424, 1\/8, -4\/7, -15?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 + -16. Let x be (-698)\/(-18) + (-4)\/m. Suppose -d + 38 = 3*f + 5, -3*f - 3*d + x = 0. What are the prime factors of f?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11\/6*(-376)\/(-3102)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 5 + 0)*(5*h**3 - 5*h**3 - h**5) + (-3*h + 5*h + h)*(-5 - 5 + 1)*(-3*h**4 + h**4 - 6*h**4).\nAnswer: 218*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**3 - 8*o**2 + 13*o + 38. Let c be s(-9). Let d be c\/12 + 275\/150. Put -7, -1, d, -2 in descending order.\nAnswer: d, -1, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 49, 1\/5, -0.764996, 0 in decreasing order.\nAnswer: 49, 0.5, 1\/5, 0, -0.764996","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 11042336 (base 7) to base 12\nAnswer: 39a888","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -101\/63 + 17\/9. What is the closest to -1 in 0, k, 2, 0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.12 - -0.42. Which is the closest to 2? (a) 5 (b) o (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c*c**1)**(22\/5)\/(c**(2\/3)*c*c*c)**(-1\/27))**12)**(4\/3) assuming c is positive.\nAnswer: c**(86416\/405)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and -1\/6204 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 8, 2, -2, -46, 5 in decreasing order.\nAnswer: 8, 5, 2, -2, -4, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7.3 - -1.7. Let l = b + -12. Which is smaller: l or 2\/7?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 + -5 - 0 - (-16 + 40 + -17)) + -8?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 184*b**2 - 7*b - 9. Let i be v(6). Let r = 24108685 - 482305247\/20. Let y = r + i. What is the common denominator of -145\/36 and y?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.12, -0.5, -5, 5\/3, -6\/7, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/2*(357\/17)\/(-105)?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - (-8 - 2)) + -2 + -11 + 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2950\/161 - 128\/7. Let u = t + 614\/805. Let -4\/5 - 1\/5*d**2 + u*d = 0. What is d?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**3 + 71*s**2 + 69*s + 134. Let h be k(72). Which is the second smallest value? (a) 2 (b) h (c) 4 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 81626328 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2952166?\nAnswer: 2, 7, 210869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4054\/13 + 312. Suppose j - n = 5, n - 5 = 4*j - 8*j. What is the third smallest value in r, -0.1, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h**5\/5 + 1704*h**4\/5 + 21028*h**3\/5 - 1704*h**2\/5 - 21024*h\/5 = 0. What is h?\nAnswer: -12, -1, 0, 1, 438","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -173, -169, -163, -155?\n\"Answer: i**2 + i - 175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y + 2 = -2*i, 3*i - 2 = -3*y + 25 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -68190903*j*k**3 - 2*j*k**2 - 7*j*k - 726*j - k**3 + 69*k + 2 wrt k.\nAnswer: -409145418*j - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1528577 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the third derivative of 0*p + 1\/30*p**7 + 15*p**2 + 0*p**3 + 0 + 0*p**5 + 0*p**6 + 13\/24*p**4. What is the second derivative of n(m) wrt m?\nAnswer: 84*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -13*m**3 - 79*m**2 - 5*m + 9. Let t(h) = -6*h**3 - 38*h**2 - 2*h + 4. Let n(i) = -2*j(i) + 5*t(i). What is the third derivative of n(d) wrt d?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15 by 7160575.\nAnswer: -3\/1432115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 21\/(-6)*1*2. Let r = -2 - w. Suppose r*g - 28 = 32. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 4*b = 7, -5*y + 9 = 2*b - 20. Suppose 146 = -y*i + 171. Solve -4*x + 9*x = -i for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/39*702\/108)\/1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*k - 158 = 502 for k.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the second derivative of q**5\/40 - q**4\/24 + 6*q. Factor h(o).\nAnswer: o**2*(o - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -38.53451457 rounded to 1 decimal place?\nAnswer: -38.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 81, 92, 115, 156, 221, 316, 447, 620?\nAnswer: 841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1036339, -3\/4, -0.3, -2\/15?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9321 + 9320. Put 11, 1, -55, o in descending order.\nAnswer: 11, 1, o, -55","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p - 4, -5*p + 11 = -2*y - 1. Let x be (6\/8)\/(5 + -2). Which is the second biggest value? (a) x (b) 1\/6 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -4*f**2 + 5020*f - 5016 = 0.\nAnswer: 1, 1254","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -200, -293, -386, -479, -572?\n\"Answer: -93*l - 107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*l**3\/4 + 117*l**2\/4 - 270*l - 300 = 0. Calculate l.\nAnswer: -1, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4646 is divided by 28.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaawwaaaaaa. What is prob of picking 2 a and 2 w?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3075078?\nAnswer: 2, 3, 283, 1811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -3*z**3 + 32*z**2 + 14*z - 33. Let o(l) = l**2 - l - 19. Let d be o(-5). Let b be x(d). Are -0.315 and b equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 227+4.8\nAnswer: 231.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 1, 13 in decreasing order.\nAnswer: 13, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*t**3 + 5*t**3 - t**3 + 1 - 3*t**2 - 2 as x*t**3 + c*t + k + g*t**2 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**2 + 58*s - 297. Determine c(-63).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(2\/13))\/(a\/(a*(a\/(a**(11\/2)\/a*a))\/a)) assuming a is positive.\nAnswer: a**(-113\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from htemqft. What is prob of sequence teq?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*i + 17 = -27 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (-3 - (-20 - -9))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12 and 17206?\nAnswer: 103236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.35 and 2.69.\nAnswer: 3.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -145\/6 and ((-52)\/104)\/(628\/292).\nAnswer: 942","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z**3\/5 - 2366*z**2\/5 - 7112*z\/5 - 4744\/5 = 0.\nAnswer: -2, -1, 1186","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1306961219 - 3866.\nAnswer: -1306965085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1469, -2966, -4475, -6002, -7553?\nAnswer: -9134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 585 divide 13242239?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -15*(-5)\/675*10\/(-70)*-35?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 97 - -21. Let l = 12279718641 + -12279718759.00000242. Let n = a + l. Round n to seven decimal places.\nAnswer: -0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 449854517?\nAnswer: 7, 3307, 19433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 3*s - 1. Suppose -s = -4*g + 8. Let m(l) = 2*l + 1. List the prime factors of m(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 38*j + 52 + 87 + 29 - 10. Calculate the remainder when g(4) is divided by 78.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**3 - 16*t**2 + 20*t + 29. Let o be x(15). Let i = o - -52. What are the prime factors of i?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0691089 rounded to 1 decimal place?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9536205 is divided by 170?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 139463497 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3416 + -0.5.\nAnswer: -0.1584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**3 + 8*n**2 - 7*n + 1. Suppose -3*s + 5*g = -6*s + 36, -2*s - 3*g = -23. Let d be x(s). Put d, -5, 4 in decreasing order.\nAnswer: 4, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**2 - 1207*q - 756215. Calculate f(-455).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21)\/(-8)*3 - (-45 + 53).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -56056 divided by -6.\nAnswer: 28028\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -29 + 2. Let c = j - -40. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(3\/11)\/l)**(-9)*l**20*(l*l*l**(4\/15)*l*l)\/l*l assuming l is positive.\nAnswer: l**(5084\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**2 + u - 1. Let j(m) = 3*m**2 + 4*m - 6. Let c(a) = -j(a) - 4*l(a). Calculate c(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 439.3 - 438.8. Which is bigger: -1072 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -57 + 63. Let w(s) = 27*s**2 - 8*s**2 - 10 - k*s**2 - 4*s. Is w(5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 343 divide 2474059?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7 and 209559?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 1 s when three letters picked without replacement from {u: 3, v: 5, w: 5, s: 1, l: 2}?\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(8\/2)\/(7\/(-7))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -111, 4, -5?\nAnswer: -111","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*t = -9*t + 5*y - 26, -5 = -5*y. What is the least common multiple of t and 66?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 13 - 35 + 7 + 12 + 28*q. Let a be ((-3)\/2)\/(3\/(-4)). Is b(a) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 4*f = -40, -49 = -3*p - 2*f + 21. Is 3 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 116*j**5 + 2*j**3 + 161*j**2?\nAnswer: 6960*j**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -33 + 22. Let q = k - -12. Let h be q - 6*2\/(-4). Solve -1 = -3*c - h for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 174192 divided by -9168?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/15*(1 - -4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1009 and -0.04.\nAnswer: 1008.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 - -3. Let p be (-14)\/(a\/(-1 + -2)). Let w = 113 - p. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-65 + (-12247)\/(-185))*(22\/27 + -1)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the third derivative of -q**4\/12 - 5*q**3\/3 + q**2. Suppose -4*l + 5*f - 59 = -0*f, 5*f = -3*l - 18. What are the prime factors of k(l)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -i + 29, 0 = 3*i - 2*r - 41 - 25. Is i a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11c09 (base 14) to base 11\nAnswer: 2a775","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 20 - 17. Let z(x) = 24*x + 7. Is z(a) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xwwxxxxxxwxxxwxxxxw. Give prob of picking 2 x.\nAnswer: 91\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7 (base 8) to base 13.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2*p + 1)*(-2*p**4 - 3*p**4 + 4*p**4) + 0*p**5 + p**5 + 0*p**5 + 2*p**5 + p**5 - 2*p**5 + (-12*p**5 + 2*p**3 - 2*p**3)*(4 - 2 - 1).\nAnswer: -8*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 288380 is divided by 348?\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a tonne in kilograms?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 158 and 2054?\nAnswer: 2054","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4\/417 + 4754\/2919. Calculate the common denominator of 7\/69 and l.\nAnswer: 483","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fuff when four letters picked without replacement from {u: 8, f: 4, o: 4}?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the first derivative of -5*d**3\/3 + 9*d**2 - 7. Let z(a) = 8*a + 7*a + 18*a - 32*a. What is v(z(y))?\nAnswer: -5*y**2 + 18*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 138752675?\nAnswer: 5, 23, 29, 53, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**2 - g - 4. Let n be w(-2). Suppose 0 = n*v - 14 + 4. What is the tens digit of (6\/4)\/(v\/370)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -114*f = 97*f - 4109 - 2221 for f.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 22.9 and -0.05.\nAnswer: -1.145","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17, -4, 23, 70, 143?\nAnswer: 248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 + (-2 + 1)*2. Let z(m) = -14*m + 5. Let d(j) = 5*j - 2. Give h*z(y) - 8*d(y).\nAnswer: 2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 3*h + 3, 21 = -4*h + 2*h - 5*w. Let a be (h\/6)\/((-1)\/(-12)). Let l = a - -13. What are the prime factors of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 285*q**2 - 52*q + 46. What is the units digit of f(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**3 - 5*s**2 + s - 3. Let d be o(5). Suppose -5*x + 895 = 2*z, -4*x + 335 + 379 = d*z. Is x at least 182?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let w = 18290 - 420668\/23. What is the smallest value in 2\/13, 12, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, b: 1, t: 1, h: 1}. What is prob of sequence ph?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -14550*h. Let q(r) = -22*r**2. Determine w(q(y)).\nAnswer: 320100*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2036002 to the power of 1\/6, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 29, 48, 87, 152, 249, 384, 563, 792?\n\"Answer: k**3 + 4*k**2 + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*l + 2 - 4 - 6 + 6.\nAnswer: -7*l - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2780501 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.4 in 0.3, -51870, 1\/2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.4 (b) 3 (c) -9\/5 (d) -0.4 (e) 171 (f) -0.1 (g) 2\/3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 95 divide 18978?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1515512?\nAnswer: 2, 189439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 114bc (base 14) to base 9\nAnswer: 63678","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 5*y + 16 = -0*r, -5*r = 4*y + 6. Suppose r*j + 19 = 39. Find the third derivative of -9*b**2 + j*b**4 - b**4 + b**4 wrt b.\nAnswer: 240*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 116 is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 589253*k - 589160*k - 1860 = 0 for k.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 33*u**2 + 139*u + 560. Let i be v(-4). What is the greatest common divisor of 1121 and i?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3364 - -3389. Calculate the remainder when 224 is divided by a.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -40, -2, 3, 8, 1648, -5, 1 in ascending order.\nAnswer: -40, -5, -2, 1, 3, 8, 1648","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 26\/(-4)*(-21 + 15) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mlmmllllmmmlmtlttm. What is prob of sequence mmm?\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 56*k**2*u**2 + 1740*k**2 - k*u**4 with respect to u.\nAnswer: 112*k**2*u - 4*k*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 5162515 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 60 + -39. Let w = 21 - d. Let r = -0.095 + -0.205. What is the nearest to r in w, -5, 0.3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 57095?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 13\/2 - (-2)\/(-4). Suppose 0 = d - y - 1. Solve -3*m = -w - d, 2*m + 0*m = -4*w + 14 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1155 + 1121)*((-4)\/(-6) - 7\/6). Put -52, -5, d in decreasing order.\nAnswer: d, -5, -52","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3666 + -3666.005. Are -2.6 and m non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5320859 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1494131 is divided by 1287.\nAnswer: 1211","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*sqrt(133) - sqrt(133))*-5 - sqrt(133))*5*5)\/(1*(sqrt(448) - (sqrt(448) + sqrt(448) + (sqrt(448)*1 - sqrt(448)) + sqrt(448)))*-5).\nAnswer: 45*sqrt(19)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42743311?\nAnswer: 13, 252919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 9a33 - 111?\nAnswer: 9922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88*h + 564 = 1073 + 2131 for h.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 983246213?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a**2 + 2*a**2 - a**2)*(15*a - 6*a - 6*a)*(a - a - 3*a).\nAnswer: -18*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 59 = 39. Solve -10 = l + 2*h + u, -4*h - 10 = -2*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.366 + 0.229. What is u rounded to one dp?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*z - 2*z = -2*a + 12, 3*a - z - 12 = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 4*f + 48 = 0, -36 = -5*s + 161*f - 159*f. Calculate the lowest common multiple of 170 and s.\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -2049, 2565, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h - 6. Let k = 21 - -5. Let p = -36 + k. Does 4 divide o(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62868 a multiple of 199?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**2 + 10*z + 440. Give a(0).\nAnswer: 440","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**2 + 11*j + 16. Let h be o(12). Let l = 11 + -3. Find the second derivative of -11*s**4 + 5*s**4 + l*s**h + 2*s wrt s.\nAnswer: 24*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*-3*(sqrt(304) + 1 + 5) + ((sqrt(76)\/(sqrt(4)*-2 + sqrt(4)))**2 + 2 - sqrt(190)\/(1*sqrt(810))).\nAnswer: -217*sqrt(19)\/9 - 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21, 103, 239, 429?\nAnswer: 673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2571439 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.00559 - -0.29441. What is the second biggest value in -5\/4, 4, -3, 1\/12, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:28 AM and 5:21 AM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0227138331 to five dps.\nAnswer: -0.02271","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes before 5:40 PM?\nAnswer: 9:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 7827033 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: Simplify ((sqrt(17) + -2 + -5)**2 + (sqrt(425)*-4 - sqrt(425) - sqrt(425)))*1.\nAnswer: -44*sqrt(17) + 66","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2686 = -5*a - 4*j, a + 0*a + 3*j = -546. Suppose 4*s = 9*s + 495. Calculate the common denominator of -149\/18 and (3\/s)\/(4\/a).\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + 0 + sqrt(80))*3*2)**2 + (1*sqrt(80)*-6)**2*6*-6.\nAnswer: -100656 + 576*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.4 (b) 27655.91 (c) 5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 3*x**3 + 820*x - 782*x - 12 - 2*x**3 + 14*x**2. Is 17 a factor of z(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -4*n - 28, 7*n - 2*n = 4*x - 29. Let g be (-16)\/18 - x\/(-27). Which is the nearest to 1? (a) -1\/7 (b) 3\/7 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the first derivative of -7*o**3\/3 + 6*o**2 + o - 1. Let q(l) = -21*l**2 + 35*l + 2. Let r(n) = 3*q(n) - 8*y(n). Factor r(s).\nAnswer: -(s - 1)*(7*s - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*n**2 - 50*n - 6243 with respect to n.\nAnswer: -4*n - 50","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9 + q**2 + 2*q + 7 + 2*q**2 - 3*q**3 + 5*q**2 + q to the form v*q + r + b*q**2 + c*q**3 and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 238936 = 31*g + 239711 for g.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**3 - 21*y**2 - 42*y + 17. Suppose -2826*h = -2829*h + 114. Calculate the remainder when r(-19) is divided by h.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-30)\/4)\/(30\/(-20)). Let l(g) = 12*g**3 - 21*g**2 - 21*g - 21. Let v(j) = 3*j**3 - 5*j**2 - 5 - 2*j**3 + 2*j**3 - 5*j. Calculate a*l(c) - 21*v(c).\nAnswer: -3*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.888 to one decimal place.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 13) to base 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**2 - 5*j - 2. Let v be q(-4). Calculate the highest common divisor of v and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (2 - 4)*(16 + -95 - -13) and 138.\nAnswer: 3036","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fvrrnvnrorromfnrvff. Give prob of sequence omrf.\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 4*p + 18 = 2*z, 3*z + 5*p = 71. Suppose -t + 2*t + z = -5*s, -2*t + 2*s = 8. Let j(g) = -g - 8. Calculate j(t).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 32811470 and 10.\nAnswer: 32811470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 161328 to the nearest integer?\nAnswer: 402","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11\/4 + -42 + (-4002)\/(-232)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 14*g + 48 = -15*g, -g - 5 = 0. Let t(z) be the first derivative of 0*z**2 + p - 17*z - 41\/3*z**3. What is the first derivative of t(x) wrt x?\nAnswer: -82*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -35*d**5 + 1315*d**4 + 1935*d**3 + 585*d**2 = 0?\nAnswer: -1, -3\/7, 0, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-706)\/(-6) + (-10)\/(-30). Let w = d - 347\/3. Factor 0 + 2\/3*k + w*k**4 - 4*k**3 + k**2.\nAnswer: k*(k - 1)**2*(7*k + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16676*s - 5358*s - 11771*s.\nAnswer: -33805*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**2 - d + 1. Let h(j) = -3*j**2 + 10*j - 9. What is -h(w) - 6*o(w)?\nAnswer: -3*w**2 - 4*w + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.052294*-0.5\nAnswer: 0.026147","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 13) in base 11?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 3*v = -2*v, 4*k = -5*v. Suppose k = -18*t + 5350 + 4946. Calculate the highest common factor of 52 and t.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 95178266 to the nearest integer?\nAnswer: 9756","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange g + 1 - 1 + (0 - 2 + 5)*(-1 + g + 1) + 2*g - 3 + 3 - 13*g - g - 2*g to the form t*g + f and give t.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 6049 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15 - -18. Solve -1 = -2*w - v for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 964 = 1896. Let u = g + -408. Suppose 3*j + u = 2*m, -4*j + 2062 = 4*m - j. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*s - q = -10, 0 = -2118*s + 2115*s + 2*q - 20 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/3)\/((-20)\/(-6))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 115\/83712918 and 101\/30?\nAnswer: 418564590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -788 * 0.06\nAnswer: -47.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -18 - 14*s**2 + 1 - 5 wrt s.\nAnswer: -28*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 4 = 348. Suppose -3*y + m = 23. Let d = y + -11. What are the prime factors of d?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41879447 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 3, w: 2, g: 4, f: 1, s: 1}. What is prob of picking 2 x and 2 w?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -126*o + 5*l = -121*o - 5, 11*o = 5*l + 11 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -3533, -6393, -9325, -12365, -15549, -18913, -22493?\n\"Answer: -6*n**3 - 2818*n - 709","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -13627.464 to the nearest 10.\nAnswer: -13630","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 86 - 39 - 44 - a - 10*a.\nAnswer: -11*a + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 f when two letters picked without replacement from xffxqqqxxv?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (9 - -4) + -10 + -5 - (4 + 0)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j = 325 + 998. Suppose -7*k + 440 = -2*k + 4*q, 0 = -2*k + q + j. Is 7 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 7*s = 5*n - 228910, -2 = -n. List the prime factors of s.\nAnswer: 2, 3, 5, 7, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**2 + 2*d. Let i(r) = 8*r**2 - 14*r - 65. What is i(g) + 6*p(g)?\nAnswer: 2*g**2 - 2*g - 65","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2035 - 1629. Is n a multiple of 108?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, s: 1, d: 9}. What is prob of sequence sde?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1391 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-76)\/(-57)*-5 - (-4)\/6\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 122616778.\nAnswer: 2, 61308389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22202 (base 3) to base 5.\nAnswer: -1421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 5*o - 35 = 0, -2*o = -3*h + 3*o + 25. Let i(z) = z**3 - 11*z**2 + 10*z + 8. Calculate the smallest common multiple of 7 and i(h).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 4, u: 1, h: 1, w: 1, i: 1}. What is prob of picking 1 i and 1 q?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j*j**(-10\/3)*(j\/(j*j*j**4*j))\/j assuming j is positive.\nAnswer: j**(-28\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 3 j when four letters picked without replacement from jqqjjqjqqqjqjqqqqq.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (170\/(-90))\/((-360)\/(-216)). Sort q, -5, -0.12 in decreasing order.\nAnswer: -0.12, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -2*u**2 - 47. Let m(r) = 8*r**2 - 1. Let j(l) = 30*l**2 - 4. Let f(y) = j(y) - 4*m(y). Determine f(v(b)).\nAnswer: -8*b**4 - 376*b**2 - 4418","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 2*x - 15. Let r be w(10). What are the prime factors of ((-153)\/(-12))\/(-9*r\/(-1020))?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -35*t + 18*t + 32*t - 19*t**2 + 3*t as g*t + v + l*t**2 and give g.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 23 - (90 + 13 + -81).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9426600.\nAnswer: 2, 3, 5, 5237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -267200, -535691, -804180, -1072667, -1341152?\nAnswer: -1609635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 14 - 10)*(-3*t + 2*t + 2*t) + 2*t + 5 - 8 - 3 + (t - 2*t + 3*t)*(3 - 1 + 0) + t + 0*t - 3*t in the form p + v*t and give v.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n + 19 = 3*b - 30, 5*n - 35 = b. Put 5, b, 625 in increasing order.\nAnswer: b, 5, 625","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 452 + -461. Sort -2, -3, t, 3 in descending order.\nAnswer: 3, -2, -3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -5*p**2 - 2*p + 1. Let g(r) = -2*r - 5. Suppose -4*h = -2*m + 16, 3*h - 4*m - 7 = 8*h. Let l be g(h). Determine z(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5 + 5 + -6 - 4) + (-3 + -22 - 27)\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.11107 take away 691.449?\nAnswer: -691.33793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4952937 years to millennia.\nAnswer: 0.0004952937","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 14*o - 56. Let c be l(5). Solve -5*u + 2*m = 4*m - c, -m = -2 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.1254 + 174.9046. What is q rounded to the nearest ten?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 118352*o - 1163. Is b(3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 213230122 + -21?\nAnswer: 213230101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0.4, 8, 2\/7, 0.3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7.08675 - -0.08675. What is the closest to d in -0.49, 0, 1, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 0*u**2 + 11 + 0*u**2 - u - u**2 + 8*u. Let p = -6 - -14. Let a be v(p). Put -1, a, -4 in decreasing order.\nAnswer: a, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and 0.0172.\nAnswer: 0.0516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j - 23 + 10 = -g, -4 = -4*g for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**3 - 3*a**2 + 5*a + 5. Let n(d) = -8*d**3 + 1 + d + 5*d**3 - d**2 + d + 4*d**3 + 1. Calculate 5*n(y) - 2*x(y).\nAnswer: 3*y**3 + y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 46 and 26105.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**4 - 2269*h**3 - 27095*h**2 - 24827*h.\nAnswer: -h*(h + 1)*(h + 11)*(h + 2257)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 128*o**2 - 4*o - 223*o**2 + 393*o**3 + 7*o - 301*o**2.\nAnswer: 3*o*(o - 1)*(131*o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1548 + 1558. Solve 0 = c*s - 17*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + -6 + 6 + -4 + 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 580 and 784972.\nAnswer: 3924860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -11*s**3 - 19080*s**2 + 114777*s - 172314.\nAnswer: -(s - 3)**2*(11*s + 19146)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the second derivative of o**4\/6 + 3*o**3\/2 + 171*o**2 + 215*o + 1. What is the derivative of h(v) wrt v?\nAnswer: 4*v + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -5*i - 54, 0 = -i - 0*b - 3*b. Let j be (-6)\/i + (-26)\/(-6). What is the units digit of (j\/(-2))\/((-6)\/60)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -118*v - 121*v - 124*v + 372*v.\nAnswer: 9*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/7*4*2030\/(-29). Suppose 11*n - j = n. Let a = n + -8. Solve a*o - 6 = 10 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7835 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -23*v**2. Let h(x) = 0*x**2 - 5*x**2 - 3*x**2. Let q(m) = 17*h(m) - 6*z(m). Let w(y) = y. Give q(w(k)).\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -110*p**2 + 10385*p - 242810. Let w(m) = 5*m**2 - 472*m + 11037. Let x(a) = -2*j(a) - 45*w(a). Factor x(i).\nAnswer: -5*(i - 47)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 15*b - 4. Determine z(5).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1666564512 - 0.94.\nAnswer: 1666564511.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(-3\/2)*p**4*p*p*p)\/(p\/p**1*p\/p**(-5\/2))*(p**(-1\/2)\/p)**(-8\/13)\/(p**(1\/3))**(-8\/3) assuming p is positive.\nAnswer: p**(563\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10598 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -998673, -1997035, -2995397, -3993759?\nAnswer: -4992121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h + 85. Suppose 9 = 4*o - o, o - 3 = -4*c. Let d be b(c). Suppose 5 + 81 = 3*w + z, d = 3*w + 2*z. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 2*i - 3*k = 15, -32 = -4*i + k. Calculate the remainder when 3 is divided by (4\/18)\/(1\/i).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -4*k**2 - 119*k - 43. What is f(-30)?\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**2 + 7*a - 8. Let o be b(-8). Let i(r) = -17 + o*r**2 + 19*r**3 + 2*r**2 + 7 - 3*r**2 + 4*r. Let p be i(5). Round p to the nearest one hundred.\nAnswer: 2400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4 or 51?\nAnswer: 51","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**3. Suppose -15 = -5*k + 2*y, 2*k = -0*k + 2*y + 12. Let h = 3 - 1. Let r(j) = j**3 + 2*j**2 - 3*j**2 + j**h. Give k*o(z) + 4*r(z).\nAnswer: 3*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -5*g**2 + 2*g + 12. Let w(s) = -6*s**2 + 2*s + 14. Let h(n) = -5*a(n) + 4*w(n). Let v be h(4). Suppose -10 = 2*j, -i - 5*j + 460 = v*i. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 27138590 to the nearest integer?\nAnswer: 301","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 265, 2104, 7097, 16822, 32857, 56780?\nAnswer: 90169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand h**5 + 3*h**5 - h**5 + (0*h**2 + 0*h**2 - 2*h**3)*(h**2 - h**2 + 2*h**2) + 2*h**4 - 2*h**4 - 3*h**5.\nAnswer: -4*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 193 = 5*g, 5*i - g + 79 = 527. Let y = -11 + 15. Suppose -y*w + 5*c + i = 0, -3*c - c = 2*w - 12. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 399 is divided by 346?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 6518 to the power of 1\/3, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -1. Let a(l) = 3*l**2. Give a(k) - 2*i(k).\nAnswer: 3*k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(1\/2)\/z)\/z*z*z**2)\/(((z**(-4\/9)\/z)\/z)\/z*z\/(z**13*z)) assuming z is positive.\nAnswer: z**(323\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v + l - 6, 0*v + 5*l = v + 26. Calculate the remainder when -2 + v + (20 - 0) is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 375\nAnswer: -1\/75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 101952953 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1713729811 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -s**3 + 2 + 6 + 4*s - 7*s - 2 - s**2 + s**4 in the form c*s**4 + g*s**3 + w*s**2 + d*s + a and give a.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -31, -69, -91, -91, -63, -1, 101, 249?\n\"Answer: p**3 + 2*p**2 - 51*p + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 4*s + 12 = -14, 4*m = s + 44. Let q be (34 - 4)\/((-2)\/m). What is the common denominator of -6 and 1\/(-3) + 1435\/q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 + 195*h - 8 + 207*h - 416*h.\nAnswer: -14*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -345772 or -347654?\nAnswer: -345772","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3\/23120 or -1\/4?\nAnswer: -3\/23120","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 33100034?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-10)\/f)\/(f*f**(-3\/14)))\/(f**(-1\/3))**(3\/7) assuming f is positive.\nAnswer: f**(-163\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 - 6. Let x(b) = -6*b - 3. Let w be x(-1). Suppose 4*v + 37 - 12 = -3*i, w*v + i = -15. Sort -1, v, h in decreasing order.\nAnswer: -1, h, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:42 PM and 1:03 AM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*o + 6 - 30 = -4*l - 8, -3*o + 3*l - 12 = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 128549 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*k - 5*k - 56. Is 4 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -13122*w**5 - 174960*w**4 - 639090*w**3 - 375660*w**2 - 79800*w - 5776.\nAnswer: -2*(3*w + 19)**2*(9*w + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 1225*x**2 - 2451*x**2 - 2*x + 1246*x**2 - 41 in the form c*x + a + l*x**2 and give a.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 5258819 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1553 - 40373\/26. Let j = -2\/543 + 595\/14118. Let z = t - j. Is -1\/3 <= z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(104)*2 - sqrt(104))*6)\/(-2*1*sqrt(800))*-2.\nAnswer: 9*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z**2\/9 + 29341396*z\/9 - 107614689903602\/9 = 0.\nAnswer: 7335349","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -27*o - 7. Let t(l) = 82*l + 18. Give 11*c(d) + 4*t(d).\nAnswer: 31*d - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-40)\/5*(-1)\/((-28)\/56).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4860 and 2310?\nAnswer: 374220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0\/(2 + 1 - 5). Suppose 131 - 436 = -2*n - s, -4*n - s + 613 = x. Suppose 44 = -5*a + n. List the prime factors of a.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5.4 in -3, -4, 3, -2.9?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t + 0*t + 14 + 0*t. Let q = -20 - -11. What is the least common multiple of j(q) and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 6, q: 8, a: 3}. What is prob of picking 2 o and 2 q?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-370)\/(-450) - 14\/63\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.04 (b) -1\/7 (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 2*c**2 + 3*c**2 - c**3 + 200 - 4*c - 199. Suppose -16 = -2*p - 8. Give i(p).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 164510 + 2?\nAnswer: 164512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x = 2*c + 6 - 0, 72*x - 3*c - 26 = 49*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -238 - 3?\nAnswer: -240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 23946391 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -1, -0.3, -313, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d - 7*d + 567. Let a(c) = -1 - c + c - c**2 - 6*c. Let n be a(-4). What is the highest common factor of d and n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.02 + -0.48. Let c = y - -0.8. What is the second biggest value in -0.3, c, -0.4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.6 - 35.4. Which is the second smallest value? (a) y (b) 4 (c) -0.3 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 51*n - 70. Let y(t) = -560*t + 785. What is -45*j(d) - 4*y(d)?\nAnswer: -55*d + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 9, d: 10}. What is prob of picking 3 j?\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 - -1. Let r = s - 0.7. Let z be -1 + (5 - 60\/14). What is the closest to -0.1 in r, 0.4, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*w**4 + 28*w**3 - 29*w**3 + 0*w - 13*w**2 + 12*w**4 - 1 - 3*w to s + h*w**2 + q*w**3 + r*w**4 + z*w and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 4*q + 8 = 2*p, -2*q = -2*p + 6. Suppose p*r + 4 = 3*r. Let v(h) = h**3 + 5*h**2 + 4*h + 5. What is v(r)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -484*o + 6 - 483*o + 972*o + 4 - 10.\nAnswer: 5*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*x - 5*x - 32*x - 37*x.\nAnswer: -90*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -493*t - 8713. Calculate i(-17).\nAnswer: -332","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y = -8*b + 82, -11*b + 2*y + 44 = -7*b for b.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22333.52 milligrams to kilograms.\nAnswer: 0.02233352","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1412 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kke when three letters picked without replacement from {p: 8, e: 4, k: 8}.\nAnswer: 28\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 51\/4 of a millimeter?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d. Let c(s) = -7*s**2 - 11*s + 2. Let t(l) = -3*l**2 - 5*l + 1. Let o(j) = -4*c(j) + 9*t(j). Give 2*o(i) + 3*r(i).\nAnswer: 2*i**2 + i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 19*d. Let k(r) = 779*r. Let q(n) = -247*g(n) + 6*k(n). Let c(t) = 5*t. What is -22*c(z) - 6*q(z)?\nAnswer: 4*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6861155 is divided by 6861129.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-376)\/(-846))\/(-1*4*24\/(-1872))?\nAnswer: 26\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16453*-0.2.\nAnswer: 3290.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16 - -9. Let n(s) be the first derivative of -s**4\/4 - 8*s**3\/3 - 3*s**2 + 7*s + 147. Calculate n(x).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6437.388 rounded to the nearest ten?\nAnswer: -6440","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*r**4 + 2*r**2 + 3*r**3 - 1274 - 2*r**3 + 1276 in the form w*r**3 + p*r + q*r**4 + c + i*r**2 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 423223821?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 18327271*t**3*z**4 + 3*t**3*z + 2*t**2*z - 5*t*z - 63*z - 485 wrt z.\nAnswer: 219927252*t**3*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**3 + 16*q**2 - 8*q - 6. Let m be z(-11). Suppose 0 = -3*b + 3*r + 699, -3*b - 2*r = r - m. Does 14 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the third derivative of 8*g**7\/105 - 7*g**4\/12 + 32*g**2. Find the second derivative of k(i) wrt i.\nAnswer: 192*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the third derivative of -q**5\/20 - q**4\/6 + 5*q**3\/6 - 43*q**2. Determine l(-4).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 7595, 7611, 7627, 7643, 7659, 7675?\n\"Answer: 16*j + 7579","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/(-30)*(-835)\/(-668)*2\/14.\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 154\/1467 + 1\/163. Let d = 1.98 - 2. Let q = d + 2.02. Which is the second smallest value? (a) l (b) -0.4 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -15*y**4*z + 14*y**4 + 7*y**3*z + 3*y**3 + 2*y**2*z + 7*y**2 + 614*y*z - y wrt y?\nAnswer: -360*y*z + 336*y + 42*z + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4063 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14522279 by -42.\nAnswer: 14522279\/42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.2 - -20.8. Let t = -147542 - -147544. Put -1, t, v in increasing order.\nAnswer: -1, t, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10607 + 10587 = 2*y + 4*t, -4*y + t = 40 for y.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 158320117 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*p**4 - 2*p**3 + 2*p**3)*(-22 - 1 + 55).\nAnswer: 128*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 1 - (-2 + 0 - -1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 6 - 5 - 2*w**2 - 44*w**3 + 2*w**3. Let s be c(1). Let o = s + 80. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 126236066 to the nearest integer?\nAnswer: 502","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*b**2 - 3*b**2 - b**2 - 38 in the form c + n*b**2 + q*b and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2111 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 3 + 5. Suppose -7 + 4 = -c + b*l, -4*l - 4 = 0. Is -2*1\/c*-37 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 298163387 a multiple of 3719?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -516 = -3*y + 25*x - 22*x, 2*y - 4*x - 354 = 0. Is y a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.1 and -136121997.395.\nAnswer: -136121997.295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3981339 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 132776534 to the nearest integer?\nAnswer: 11523","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*u**3 + 5*u**5 - 2*u**3 + (-u**2 + 0*u**2 - u**2)*(-2*u**3 + 0*u**3 + 0*u**3).\nAnswer: 9*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(136)*1*-1*-4)\/(sqrt(392)*-2*-1) + 5)**2.\nAnswer: 36*sqrt(17)\/7 + 4037\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 19763.68t?\nAnswer: 19763680000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 14) to base 16\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(200) + 0)**2.\nAnswer: 20*sqrt(2) + 201","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 37, 26 in descending order.\nAnswer: 37, 26, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 270.00029511 rounded to 0 dps?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.054276901084 - 237.054278671084. Let g = f - -237. What is g rounded to 7 decimal places?\nAnswer: -0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 88\/(-10)*(-471 - 19)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2330 is divided by 900?\nAnswer: 530","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 209 - 691 = 4*a, 5*k = -20. Let v = -110 - a. List the prime factors of v.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**2 + 6*a - 1. Let r = 10 - 18. Let z be s(r). What is the greatest common factor of 5 and z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -3, 4, -4, -3\/25?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 52*k - 40. What is z(1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j = 9*j + 296. Let a = 295\/2 + j. Does -55 = a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = j - 5*j + 4, -4*c + 3 = 3*j. Suppose -6*x + x - 5 = c. Let k = 10 + -372\/37. Which is greater: k or x?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -816855 = 2162*i - 1622*i + 12027*i for i.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -x + 10. Let b = 26 - x. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -0.04 (b) -62\/5 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -12, -124.03, -1\/4, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 4*j**3 + 2*j**2 + j - 2. What is the hundreds digit of f(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6521 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 3*c = 0, -4*j = -3*c - 2*c - 17. What is the lowest common multiple of 7 and (-10*2\/(-12))\/(1\/j)?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/5, -13\/6, 40, -0.05962, 3, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -78645053 divided by -219067.\nAnswer: 359","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 7861 to the power of 1\/3, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1728346676.9833256 - 1728343460. Let v = -3251.0832 + a. Let d = v + 34.1. Round d to five decimal places.\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1807343 is divided by 168?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -35*t. Let u(n) = 5*n**2 + 4*n. Let f(q) = -4*q**2 - 3*q. Let c(j) = 4*f(j) + 3*u(j). Give o(c(m)).\nAnswer: 35*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1677009 a multiple of 120?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -196066431257 - -196066426631.00005734. Let q = x + 4626. Round q to 6 dps.\nAnswer: 0.000057","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eced when four letters picked without replacement from ooaocdeddcoeioceo.\nAnswer: 9\/9520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3956707327 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10 + 7. Let l be (8\/(-6))\/((-10)\/105). Let f be 1\/(-7) + 2620\/l. Calculate the highest common factor of f and s.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 divided by 117\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.07 + 1.07819. Round b to three dps.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1182\/40363 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 15) to base 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*n**2 + 3*n - 75*n**3 - n + 74*n**3 - 3*n**4 in the form p + h*n + q*n**2 + k*n**3 + u*n**4 and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1880 * -0.1.\nAnswer: 188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 - 34 - (-41 + 43)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 4*k**5\/3 + 62*k**4\/3 - 202*k**3\/3 - 356*k**2\/3 + 248*k + 144 = 0?\nAnswer: -18, -2, -1\/2, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.4, 0.2, 0.1, 0, -11\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5.42? (a) -7.8 (b) -13 (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the second derivative of 4*k**6\/15 - 71*k**5\/5 + 227*k**4 - 1802*k**3\/3 + 578*k**2 - k + 240. Determine p so that s(p) = 0.\nAnswer: 1\/2, 1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 206 + (-5 - (-110 - -189))?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b**2 - 3*b**3 - 3*b**2)*(0 + 19 - 3) + 0 + 0 - b**3.\nAnswer: -49*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 4484 - 4*c**2 - 8965 + 4485. Let u(q) be the third derivative of q**5\/30 - 5*q**2. Give u(b(o)).\nAnswer: 32*o**4 - 64*o**2 + 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k - 5*r + 35, 56*k - 31 = 61*k - r. Which is the biggest value? (a) k (b) -0.1 (c) -0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 879949 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9\/1379 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o*o\/((o**(-29)\/o)\/o)*o*o\/(((o\/((o\/(o**(24\/5)\/o))\/o)*o)\/o)\/o)*o\/o**15*o*(o\/(o*o*o*o\/(o\/(((o\/o**(-17\/2)*o*o)\/o)\/o))*o*o))\/o assuming o is positive.\nAnswer: o**(37\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 2*q**2 - 6*q - 1. Let a be d(6). Calculate the greatest common divisor of 7 and a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6.2 - -40.2. Let w = 296.0130366 + -330.013034. Let s = i + w. Round s to six dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**2 + 11*q - 1. Give r(10).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1100010010110000110010 (base 2) in base 11?\nAnswer: -1901197","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16\/6)\/(-2)*(-2)\/12.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t + t - 2*t. Let n(j) = -241 + 123 + 11*j**2 + 118. Give n(h(x)).\nAnswer: 44*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes before 10:51 PM?\nAnswer: 1:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*z**4 + 70*z**3 - 305*z**2 + 420*z - 180.\nAnswer: -5*(z - 6)**2*(z - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven eighths of a micrometer in nanometers?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1259882?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 409.8962 to the nearest ten.\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2134867.\nAnswer: 7, 304981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - -10) + 82 + (24 - (3 - -39)).\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m + 2*b + 5 = 0, 5*m + 3*b = 2*b + 25 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*238\/(-765)*5.\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*g + 12 - 537 = 0. Solve 18*b = g*b - 3 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90\/72*(-30)\/100?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8816?\nAnswer: 2, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -55*t - 251. What is y(-6)?\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.4 and 4080?\nAnswer: 4079.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 3 = -j, 5*n - 2*j + 12 = 2*j. Suppose 2*z - 30 = -2*z - 2*y, n = -2*y + 2. Suppose 324 = -f + z*f. What is the remainder when f is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/3, 0.1, 4, -43?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:25 PM and 6:49 PM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -13 + 135. Suppose 4*z = -4*g + 816, -z + 82 = 2*g - c. Find the second derivative of -11*v**5 + 204*v**4 - 2*v - z*v**4 wrt v.\nAnswer: -220*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68374845 a multiple of 99?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9821?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -8*x**3 - 4*x**2 + 11*x + 8. Let n be -4 - (7 + 1)\/4. What is the thousands digit of t(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**3 - 3*h**2 + 5*h + 2. Let l be p(-4). Let x be 74\/26 + (-8)\/(-52). Let z(j) = -x*j - 3*j**3 - 2*j**3 + 7*j**3 - 3 + 2*j**2. Determine z(l).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -229 = -35*v + 296 for v.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -2*d + 1. Suppose z = -5*r + 12, 0 = -r + z - 0*z. Let b be c(r). List the prime factors of (6\/(-5))\/(b\/10).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 465 - 475. Let p be (b\/45)\/(9\/(-81)). Solve -5*o - 3 = -4*u + 9, 2*u + p*o = -12 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 3, o: 2, v: 2, b: 5}. What is prob of sequence boo?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -280*x - 1333*x + 83876 = 0 for x.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**3 - 50*z.\nAnswer: 2*z*(z - 5)*(z + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-32)\/20)\/1*((-930)\/(-1302))\/((-2)\/(-14))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 bigger than 19794150?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -5 + 1. Let p(h) be the third derivative of h**6\/15 + h**5\/60 - h**3\/6 - h**2. Calculate the lowest common multiple of 3 and p(q).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the second derivative of -s**7\/2520 + s**6\/360 - s**5\/120 - s**4\/3 + s. Let d(t) be the third derivative of a(t). Factor d(r).\nAnswer: -(r - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, -40, -8, -5.\nAnswer: -40, -13, -8, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -100.72 or 3\/5?\nAnswer: -100.72","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/(-8) - (9\/(-42))\/((-12)\/21)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (((sqrt(78)*-2*-5)\/(-4*sqrt(6)*-1) - (sqrt(1300) + 4*sqrt(1300)*1 - (-1*sqrt(1300) + 4))) + 3)**2.\nAnswer: -805*sqrt(13) + 172105\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 f when two letters picked without replacement from {o: 1, d: 1, f: 11}.\nAnswer: 11\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m + a + 9, 0*a = 5*m + 3*a + 51. Let t be m\/30 + (-104)\/(-10). Solve -f = f + t for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/(-16) + (-168)\/(-64). Is j > -14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes after 1:26 PM?\nAnswer: 9:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/787768 and 59\/5007?\nAnswer: 2363304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -14*n - 85. Let f be x(20). Let a = f - -369. Solve a - 24 = -5*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -9\/88 at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 3\/50 of a second?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19110, -16159, -11240, -4353, 4502, 15325, 28116?\nAnswer: 42875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -45549, -40583, -35619, -30657, -25697, -20739?\n\"Answer: -l**2 + 4969*l - 50517","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4221887788?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12 + -10. Let q(c) = 14*c - 20*c - 8 + 7*c. Let a be q(13). Solve -3*j - 11 = -a*g, -u*j = -6*j + 3*g for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*a - 27*a + 13*a)*(3 - 3 + a) + (-a - 1 + 1)*(-7*a + 17*a + 21*a).\nAnswer: -33*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -537, -1310, -2083, -2856, -3629, -4402?\nAnswer: -5175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 2*k**2 + 38*k - 50. Let q be h(-21). Suppose 8 = 6*o - q. Solve d - 18 = o*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 62\/(-21) + (-11)\/(693\/(-18)). Let w = -97 + 99. What is the smallest value in 0.3, w, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**3\/7 - 1202*d**2\/7 + 11798*d\/7 + 13002\/7.\nAnswer: 2*(d - 591)*(d - 11)*(d + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4.6 + -0.6. Let w = 107\/38 - 6\/19. Which is the second smallest value? (a) g (b) 3\/2 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b - 57 = -63 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -3\/550 and 123\/8150.\nAnswer: 89650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 438*v + 238*v + 14600 = 384*v for v.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/80*-5*4\/(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 154546.\nAnswer: 2, 7, 19, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a century in months?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-52125)\/(-875) - 57)*(2 - 16)*3.\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8676*s + 4288*s + 660456 = 3791*s for s.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence atf when three letters picked without replacement from {f: 3, a: 1, y: 4, n: 1, t: 1, w: 5}.\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 116876?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/257 or -2?\nAnswer: -2\/257","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -499612, -1998580, -4496896, -7994560, -12491572, -17987932?\nAnswer: -24483640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 3, w: 6, f: 3, t: 1, y: 4, e: 1}. Give prob of picking 1 f, 2 w, and 1 l.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + (-19 - -20 - 15)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -2*k**2 + 2*k + 6. Let z(s) = 6*s**2 - 5*s - 18. Let b(i) = -11*v(i) - 4*z(i). Let c be b(0). Solve c = a + 2 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s - 7 + 2 = -5*t, 0 = -2*s - 2*t + 4 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -31 - -29. Which is the third smallest value? (a) 0.1 (b) l (c) 0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 35\/(-10)*(-1113390)\/(-43785)?\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -442 + 467. Solve 0 = 7*i + m - 18 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-147)\/4410 + (-17890)\/(-75))*2\/(-18).\nAnswer: -53\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the third derivative of -2*r**2 - 1\/12*r**4 + 1\/30*r**5 + 0 + 0*r - 1\/6*r**3. Let g be b(-1). Solve 3*z - 9 = -0*z - g*l, -25 = -5*l for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**3 - 101*o**2 + 192*o + 599. Let p be j(99). Solve -2*v + l - p = 8, -5*v = 3*l + 16 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 129*h - 98*h**2 + 98*h**2 - 129*h - 27*h**3.\nAnswer: -27*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f when three letters picked without replacement from rlffrflfrrf.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 203 and 14308?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 41 - 39. Let q = -162 - -482\/3. What is the nearest to 3 in 5, q, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -3 - (51 + (-22 - -6))) + 5?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 145.4 + -145.05. Let m = 0.207 - 5.557. Let z = v + m. What is the second biggest value in -1, z, 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the second derivative of -13\/6*u**3 + 3\/4*u**4 - 3*u**2 + 40*u + 1\/20*u**5 + 0. Let r be a(-10). Solve m + 4*d + 15 = 0, m + r = -3*m - 4*d for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5623.4875 - 4656.547. Let q = o + -967. Round q to 3 decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 + 2)*(-2 + 2 - 3)*(0*q - 1 - 2*q + 4*q).\nAnswer: 12*q - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**2 - h - 1. Let m be k(0). Suppose 2*u + u - 6 = 0. Let z(b) = 6*b**2 + 2*b**u - b**2 - b**2 + b. Give z(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d + 5. Let m be x(0). Suppose 5 = -m*n - 5*h, 4*h - 41 = 4*n - 5. Let o = -3 + -2. Is o != n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**(2\/3)\/r)\/r)\/r)**(9\/13)*(r*r**(2\/3))**(-5\/2) assuming r is positive.\nAnswer: r**(-451\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 69 divide 265122875?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10 + 6. Let b(s) be the second derivative of 1\/4*s**4 - 1\/2*s**3 - 2*s**2 + 1\/20*s**5 - 2*s + 1. What is b(y)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffhkf. What is prob of picking 2 h?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.03547 - 1.96453. Which is the second smallest value? (a) -8.2 (b) 2\/7 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 410913947?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s = -d + 8, -4*s + 0 = -2*d + 4 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(84) - (sqrt(84) - -1*2*sqrt(84)))*1)\/((sqrt(216) + -3*sqrt(216))\/sqrt(2)).\nAnswer: sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.082 + -2.002. Round k to 1 decimal place.\nAnswer: -1.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 + -5. Let t(u) = -u + 1. Let z(j) = -6*j + 7. Let f(n) = 3*t(n) - z(n). Let s be f(y). Solve -3*g - 4*c + 20 = c, -2*g + s = -5*c for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12597.961 - 89006373.\nAnswer: -88993775.039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 632 - 635. Put -7, -2, p, 3 in descending order.\nAnswer: 3, -2, p, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 164068665*k**3 + 192138102*k**2.\nAnswer: 984411990","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -236?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nklmnlmkwmgmmmmkk. What is prob of sequence mgn?\nAnswer: 7\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.641098 rounded to 0 dps?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1028, 1177, 1416, 1751, 2188?\nAnswer: 2733","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -279 * 307.89.\nAnswer: -85901.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 954 - 1353. Let z = 949 + f. What is the highest common divisor of 66 and z?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -238, -1943, -6598, -15679, -30662?\n\"Answer: -246*c**3 + c**2 + 14*c - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -69\/34 and 17\/12?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**2 + 4*b - 15. Calculate the remainder when 27 is divided by j(-7).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 35 - (-70 + 40 + 28 + -8)\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*w = 18*w - 8. Suppose w*f - 2*h - 391181 = -1111175, -4*f - 5*h - 1440015 = 0. Round f to the nearest one hundred thousand.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h - 2*b = 4, -3*h + 2*h = 4*b + 23 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -35499, -70996, -106493, -141990?\nAnswer: -177487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2 - 10\/(-2) - (-3)\/(-1). Suppose u = -b + 4*j - j - 4, 3*j = -3*b + 12. Find the third derivative of 4 - 4 + 20*f**b + f**3 wrt f.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 295489 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**3 - 6*p**2 + 2*p - 37. Let m be y(7). Suppose 0 = 12*r - 22 - m. Solve -2*q + 12 = -2*v, -3*v + r*q - 11 = 9 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24)\/(7 + -4) + (-12)\/6?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1798627 to the nearest integer?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3976 and 7526?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 8, 12\/443, 2, 0.3, -3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 13778 = -2*m + 4*v, -3*m = 5*v - 20678. Suppose 0 = -22*j + 6397 + m. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -343\/368?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 19999.31 litres in millilitres?\nAnswer: 19999310","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the first derivative of -3*h**2 + 6*h - 6835. Let t(s) = 7*s - 7. Determine 5*l(q) + 4*t(q).\nAnswer: -2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y - 3*y = 12. Let n = 168 - 88. Suppose n = 2*j + 2*j. Solve -y*x = -i + 18, -j = x + 4*x for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the second derivative of 63*b**5\/20 - 3*b**4\/4 + 3*b**3\/2 - 9*b**2\/2 - 709*b. Let u(p) = -32*p**3 + 4*p**2 - 4*p + 4. Determine 4*q(f) + 9*u(f).\nAnswer: -36*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -101.7 - -101.699999429. What is c rounded to seven decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**3 + 69*f**2 + 261*f - 3228. Determine z(72).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12823 is divided by 115?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 4, x: 1, z: 1, d: 2}. What is prob of sequence fzdd?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(10) + sqrt(10) + sqrt(160)*5)\/(2*sqrt(72) + sqrt(2)))**2.\nAnswer: 44*sqrt(5)\/13 + 2589\/169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s**3 + 24*s - 32 = 0. What is s?\nAnswer: -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*g - 5*s - 8935 = 20*g, g - 4*s = 1802. What are the prime factors of g?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*v - 4507 = -23*v - 4813 for v.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -20*f**2 - 9*f + 2*f - 5*f + 9*f**3 + 8*f**2.\nAnswer: 3*f*(f - 2)*(3*f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39732690.\nAnswer: 2, 3, 5, 41, 32303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2\/65 - 124\/195. Let v be (-50)\/15 - (-14 - (-20)\/6). Which is the nearest to v? (a) y (b) 0 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1300, -1284, -1258, -1216, -1152?\nAnswer: -1060","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**2\/7 + 83649*f\/7.\nAnswer: 3*f*(f + 27883)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -56*c - 195. Determine l(-2).\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -279*b - 25 - 19 + 74*b + 47.\nAnswer: -205*b + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 737 is divided by 123.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xzyyzlxzyznb. What is prob of picking 1 b and 1 l?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (14 + -7)\/7 + 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + c + 4 = -6*u, -12 = -u + 3*c. Is u at least -68?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1*(-11 - -2) - -2. Solve -3*d + 1 = 5*u, 4*u - 3*d + q = 1 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (762*d - 131*d + 596*d)*((2 - 3 + 0)*(-3 - 3 + 5) - 4 - 4 + 4) in the form j*d + p and give j.\nAnswer: -3681","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -15716 (b) 0 (c) 3\/7 (d) -1\/4 (e) -406\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * -29.503.\nAnswer: -59.006","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6102*f - 18252*f + 6138*f + 6189*f.\nAnswer: 177*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 4995.601 millilitres?\nAnswer: 4.995601","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 2, 4, -18.13, -515, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -4121\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 12366 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 - 6) + 10 - (1 + 1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1266184, -1265243, -1264302, -1263361, -1262420?\n\"Answer: 941*g - 1267125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(162) + -2*(2 + sqrt(162)))*-5 + -5.\nAnswer: 30 + 45*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*c**2 + 7*c**2 - 38*c**2 - 3 - 216*c + 5*c**2 + 11*c**2 as x + g*c + q*c**2 and give g.\nAnswer: -216","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.03 - -1.97. Let x = 1 + u. Let h = 2 - 2.1. Which is the closest to -0.1? (a) x (b) h (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17546, 17608, 17776, 18104, 18646, 19456, 20588?\nAnswer: 22096","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 19) + -43 - -50\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**3 - 46*x**2 + 79*x + 396. Let t be i(44). Let p(d) be the second derivative of 33*d + t + 35\/2*d**3 + 95\/12*d**4 + 5*d**2. Factor p(c).\nAnswer: 5*(c + 1)*(19*c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4926 + 4926 + 116*q + 2*q + 6*q - 6*q + (-4 + 5 - 3)*(-4*q + 2*q + 0*q))*(3*q**2 + 2*q**3 - 3*q**2).\nAnswer: 244*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -345 + 345 + 22*m**3.\nAnswer: 22*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, -3, -256, -4, -0.047, 2, 3 in decreasing order.\nAnswer: 12, 3, 2, -0.047, -3, -4, -256","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16986163\/175216 - 23234\/233. Let o = s - -51\/47. Let z = 3\/508 + 3491\/254. Find the common denominator of o and z.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3.68 + 3.59. Which is the third biggest value? (a) -5\/6 (b) k (c) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -1.3, -4, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 4 - 4 = 0. Let f(y) = -y**3 + 2*y**2 - 2*y + 3. Let v be f(w). Which is smaller: 3\/16 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 92224 is divided by 6146?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/3)\/((-12)\/108).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 2 + -2 - (9 + -38 + 26).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -0*g - k - 13, -6 = 2*g + 2*k. Suppose -i + 0*b + 2*b = -106, -5*b = g*i - 167. Suppose m + i = 3*m. Does 16 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o. Let k(m) = 3*m - 1. Let c(p) = 14*p - 5. Suppose 0 = y + 11. Let u(f) = y*k(f) + 2*c(f). Let q be 2\/(-1)*(-1)\/(-2). Give q*u(d) - 4*s(d).\nAnswer: d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 3*w = -w - 12, w = 2*i - 4. Let n be -2 + 1 - (i + -3). Let g be -2 - (-6)\/213*73. Which is smaller: n or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*z - 3*z + 3*z + 410 - 411 + 3*z**3 in the form v*z + g*z**3 + i*z**2 + l and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 4*l + 44 = 0, 59 + 1 = 2*s - 5*l. What is the highest common divisor of s and 140?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -114705*n - 114704*n + 229406*n.\nAnswer: -3*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**3 - 35*p**2 + 58*p + 125. Determine h(33).\nAnswer: -139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7 + 4. Let n = u + 2. Which is the smallest value? (a) 2\/7 (b) -5 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.17 - -0.07. Let q = -0.1 + g. Put 0.2, 1\/4, q in descending order.\nAnswer: 1\/4, 0.2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 21*z + 276. Let b be v(-13). Sort -3, -2, 4, b in increasing order.\nAnswer: -3, -2, b, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8 + 4)\/4)\/(3\/(-15)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7 + 6. Let w = i + 4. What is the closest to 1 in w, -0.2, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 * -7591\nAnswer: 15182","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ooooooodooododdoooo. Give prob of picking 2 o.\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -n + 2. Let p(k) = -2*k**2 + 2*k + 9. Let t(l) = l**2 - l - 5. Let f = 253 - 243. Let h(d) = f*t(d) + n*p(d). Find u, given that h(u) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-172)\/(-6) - (-46)\/(-69). Let g = -19567 - -28979. Suppose 32*m - g = y*m. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -19*m**2 - 35*m - 14. Suppose 10 - 25 = 5*v, -v + 12 = 3*s. Let o(z) = -20*z**2 - 35*z - 15. Let l(q) = s*f(q) - 4*o(q). Find u such that l(u) = 0.\nAnswer: -2, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert d1 (base 16) to base 11.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(1\/3)\/(v*v**(-3)))\/(v*v\/((v\/v**(2\/7))\/v))**(6\/11))\/((v\/v**(1\/2))**(-5\/11))**(34\/3) assuming v is positive.\nAnswer: v**(282\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -7879\/70907 bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ufdpd. Give prob of sequence fd.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83*j + 352 = -653 - 240 for j.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:56 PM and 7:24 PM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 126 and 154620?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 37675*p**3 + 44145 with respect to p.\nAnswer: 113025*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 74 + 16. What are the prime factors of w?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + 5*i**2 - i**2 - 2*i**4 - 2 to b*i**3 + g*i**2 + k*i**4 + s + x*i and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -0.2 (b) 0 (c) -0.1 (d) 2\/35\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*j**6 - 2*j**2 + 8*j**6 + j**2 wrt j.\nAnswer: 1200*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 10\/9 (b) 6 (c) 35\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 560.00439 + -560. What is i rounded to three dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/(q*q*q*q*(q\/q**(-2\/31))\/q*q*q)*q)\/q**20)\/(q**16\/q**(2\/13)))**(-27) assuming q is positive.\nAnswer: q**(434268\/403)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -176.9 - -180.874. Let p = -0.026 - j. Let s be (3\/(-8)*2)\/6. What is the third smallest value in s, 7, p?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 + 1 - 10)*(5*d - 9*d + d)*(-1 + 2 - 4)*(2*d - 1 + 1).\nAnswer: -18*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3024 and 9.\nAnswer: 3024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add together 94975 and -0.04.\nAnswer: 94974.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -3680 - 453440301\nAnswer: -453443981","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-7)\/3 + 3)\/((-38)\/(-57)). Which is greater: o or -103\/6?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -829645*l. Let t(k) = k**2. What is b(t(c))?\nAnswer: -829645*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 13130262 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 437378289?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/(-10) - 54\/15. Let v = 258 + 186. Does 16 divide v\/15 - p\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4566 (base 11) in base 13?\nAnswer: -2968","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes before 12:16 AM?\nAnswer: 6:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 162 + 17 = 2*j, -n = 4*j - 43. Calculate the remainder when n is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 1674*h - 157366. Determine s(94).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from nnnznznnnznn?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 >= -90\/91?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 15\/236 + 70\/59. What is the biggest value in 4\/5, c, -9?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 7, f: 7, h: 2}. What is prob of picking 3 d?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 0, -24, -5, -5.314?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 796 - 544 - 6*z + 804.\nAnswer: -6*z + 1056","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 510429871 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -13 + 2206673\/124 + 0 + (-1)\/(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 88605 is divided by 42.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tk when two letters picked without replacement from {k: 2, y: 10, t: 4}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vcc when three letters picked without replacement from vccvvffcccvcc?\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -8*n**2 + 5026*n + 8 + 3*n**2 + n**3 - 5025*n + 15. Is 13 a factor of m(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.17 equal to 2307?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -10112 (base 3) in base 12?\nAnswer: -7b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6878 - 1694. What are the prime factors of u?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2 - 140\/72 - 6\/27. Let g = -352 - -3878\/11. Which is the nearest to -1? (a) 0.1 (b) g (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rurbuubb. What is prob of sequence brb?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 180 and 17788536.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the second derivative of u**5\/20 - u**4\/3 + u**3\/2 + 3*u**2\/2 - 3*u. Calculate k(4).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ycjurcccuuurrf. What is prob of picking 1 f and 1 y?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 472, 940, 1408?\n\"Answer: 468*d + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 18 - 15. Suppose p - 4*b - 4 = -o*b, 2*p - b = 13. Suppose -p = -3*y + 2*k, 3 = y + 2*k - k. What is the remainder when 7 is divided by y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -r**2 - 4*r**2 + r**2.\nAnswer: -4*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 5.29 + -0.1\nAnswer: 5.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**3 + 15*g**2 + 15148 - 15162 + 4*g + 32*g. Calculate w(-12).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, f: 2, i: 2, u: 1, h: 1}. Give prob of sequence zhf.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**2 + 9*u - 3. Let l be g(9). Let w be 117 - (0 + -6)\/l. Suppose -4*a - 4*s - w = -7*a, -a - 3*s = -34. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20949 and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 110 - -163. Suppose -3*i - 13 = 2, 3*m + 3*i = o. Suppose 0 = -9*x + 604 + 269. Which is bigger: x or m?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes after 3:03 AM?\nAnswer: 6:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1178, -1198, -1220, -1244, -1270?\n\"Answer: -t**2 - 17*t - 1160","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.38 (b) 0 (c) -1 (d) -1\/2 (e) 3.5 (f) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 26990 by 10.\nAnswer: 2699","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 69323, 129329, 189349, 249389, 309455, 369553?\n\"Answer: u**3 + u**2 + 59996*u + 9325","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 a, and 1 c when three letters picked without replacement from cmmaccccm.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*y + 4*y - 5*h = -5, 0 = h - 5 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -366361 times 1\nAnswer: -366361","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 512 and 1299712.\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.240295l to millilitres.\nAnswer: 7240.295","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -80\/7, -301, 9\/7.\nAnswer: -301, -80\/7, 9\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6623 and 8029.\nAnswer: 1437191","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -440 by 40.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 21.55 (b) 0.083 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q - 2 = g + 2, 3*q - g + 8 = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:33 AM and 9:52 AM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1564442 to the power of 1\/2, to the nearest integer?\nAnswer: 1251","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add together 3 and -44.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -0*h + 5*h - 3*p, -3*h = -5*p + 7. Let y = h - -4. Find the third derivative of -f**2 + 5*f**2 + 4*f**5 - f**y wrt f.\nAnswer: 180*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -453942616 - 445.858\nAnswer: -453943061.858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000117348424 rounded to seven decimal places?\nAnswer: 0.0000117","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o + 6 = 4*t - 1, -4*t - 8*o + 52 = -4*o for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 352, 337, 322, 307, 292?\nAnswer: 277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180)\/(sqrt(21)\/sqrt(7)) + (sqrt(2940)*-3 - sqrt(2940)) + sqrt(2940))\/(2*4*sqrt(432)*-3).\nAnswer: 5*sqrt(5)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 170621? (a) 0.5 (b) -2 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 74 - 39. Calculate the highest common divisor of 245 and f.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/(d\/d**(-2\/21))*d*d)\/d)\/(d**(4\/3)\/d))**(-1\/9)\/((d\/d**3*d*d**1)\/(d\/((d*d*d*d**6*d)\/d)*d*d*d**(-5)*d)) assuming d is positive.\nAnswer: d**(-634\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3944, 7888, 11832, 15776?\nAnswer: 19720","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -38*f - 109. What is k(-7)?\nAnswer: 157","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -142 (base 16) to base 7.\nAnswer: -640","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r\/r**(-6\/11)*r)**(-20)\/(((r*r**(8\/5)\/r)\/r)\/r*r**32) assuming r is positive.\nAnswer: r**(-5638\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -2*g**2 - g. Let v(s) = s**2 - s + 1. Let q(y) = v(y) - z(y). Differentiate q(i) with respect to i.\nAnswer: 6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4\/5, -15, 2, -2\/5, 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.028828 - 5701673?\nAnswer: -5701672.971172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 125 and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = 1486581 + 33419. Round s to the nearest ten thousand.\nAnswer: -380000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b\/b**3*b**(-7)*b**(-5)\/b**1*(b**(-2)\/b)**(-10\/11)*b**(-4\/7)\/((b**7*b)\/b) assuming b is positive.\nAnswer: b**(-1528\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -6*b - 183. Let h be t(-39). Suppose 4*c - 248 - 264 = 0. Let x(a) = -49*a - h*a + c*a - 57*a. Let u(w) = w**2. Calculate x(u(d)).\nAnswer: -29*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -2*h - 10. Let k be x(-8). Let i(y) = 3*y - 2. Calculate the lowest common multiple of i(k) and 18.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 33\/(-2)*(-4 - (-15 - -3)). Let m = 124 + z. Let n(l) = 4*l**2 + 6*l - 4. Let f(q) = -5*q**2 - 5*q + 5. Let i(g) = 3*f(g) + 4*n(g). Determine i(m).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes before 2:40 AM?\nAnswer: 7:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -6*b + 2*b. Let r be b + (-4 + -267 - 3). Let k = 568 + r. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 112678421 to the nearest integer?\nAnswer: 10615","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**3 + 7*z**2 - 8*z + 4. Let a = -18 - -4. Calculate the remainder when 21\/a*(-20)\/3 is divided by h(-8).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1*-2)\/(-7*(-14)\/(-245))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 95\/(-76)*3\/5. Let w = 0.36 + 38.64. Let f = w - 38.9. Which is the third smallest value? (a) -16 (b) f (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -60, -85, -126, -189, -280, -405, -570?\n\"Answer: -s**3 - 2*s**2 - 12*s - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -6.1 and -1898018?\nAnswer: 1898011.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-h + 4*h + h)*(h + 3*h - h)*(2*h + 2 - 2)*(-3 - 5 - 3) to the form j*h**2 + r*h + w*h**3 + v and give w.\nAnswer: -264","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44768 is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 249?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z + 4. Suppose 2*g + 20 = 7*g. Let v be t(g). Let l = v - -4. Put 5, -3, l in ascending order.\nAnswer: -3, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 15164 or 15165?\nAnswer: 15164","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (20\/8)\/((-60)\/(-72)). What is the highest common divisor of 33 and s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/(-38))\/(240\/(-14136)*31).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -71*k**2 + 209*k**2 + 148*k**2 + 182*k**2 + 36*k**2.\nAnswer: 504*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b + 4*b - 10. Solve -b*y - 5*r + 35 = 0, 0*y - 4*y - 12 = -4*r for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(2\/17)*i)\/(i\/(i**(-5)*i))*(i**(-2\/3))**(-43) assuming i is positive.\nAnswer: i**(1264\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8? (a) -3 (b) 5\/1374 (c) -5 (d) -0.027\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 9 + 7. Let g be (6\/(-4))\/(3\/(-4)). What is the third derivative of 2*b**5 + b**2 - v*b**2 + 2*b**g wrt b?\nAnswer: 120*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 25, 5, -4 in decreasing order.\nAnswer: 25, 5, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**2 + 2*b. Let u be k(2). Find the common denominator of ((-53)\/3)\/(22\/(-6)) and (-721)\/42 + u + -3.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*w + 0*b - 2*b - 2 = 0, -10 = 5*w + b for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 20 or 9103\/425?\nAnswer: 9103\/425","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 219 is divided by (1*-4)\/((-2)\/(-21 + 23))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -10864, -62055, -147374, -266821, -420396, -608099?\n\"Answer: -17064*c**2 + c + 6199","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - 4*z = 3*l + 4, z = 1 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**2 - 733*d. Let o(f) be the first derivative of -f**2 - 326. What is i(o(r))?\nAnswer: -4*r**2 + 1466*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/2*32\/(-12). Suppose -c = -3*b - n, 2*c = 5*c - 4*b - 17. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 14, w: 1}. What is prob of picking 1 w and 2 s?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 107578 is divided by 26889.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j + d = -11 - 9, 3*d - 20 = -j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**2 - 322*d - 18853. Calculate z(-77).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5501125?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and 0.18.\nAnswer: -0.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 23*g**4 - 30*g**3*q**2 - q**2 + 66 wrt g.\nAnswer: 92*g**3 - 90*g**2*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 186539817?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 38117520 a multiple of 945?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Sort -71, 5, -4 in decreasing order.\nAnswer: 5, -4, -71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 3 i when four letters picked without replacement from {u: 2, x: 8, i: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xlllkllzzzkszzxzkxnk. What is prob of picking 1 x and 2 k?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-4 + (1 - 0))\/((-190)\/(-220) - 1)\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.627 (b) 1\/9 (c) -0.0794 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 339 - 332.85. Let i = 3.15 - n. What is the second smallest value in -2, -5.9, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41018344933 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -61572*-307.\nAnswer: 18902604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7367 + -4368. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 47488+0.023261816\nAnswer: 47488.023261816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 2*a = 20, -3*o + 2*a - 4 = -6*o. Is 10 a factor of o + (-66)\/(-9)*3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-15)*(270\/48)\/9?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1865770*z**3 + 11*z**2 + 1209160103 with respect to z.\nAnswer: -5597310*z**2 + 22*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 divided by 5?\nAnswer: 13\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:12 PM and 3:37 AM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 139858, 139856, 139854, 139852, 139850, 139848?\n\"Answer: -2*s + 139860","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 132 and 1848?\nAnswer: 1848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 greater than or equal to -4546?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 29 - 17. Let w(d) = d - 3. Let l be w(6). Differentiate -i + 4 - n + l wrt n.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, 213, 1\/3, -3, 2\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -115\/77184 and 7\/128.\nAnswer: 77184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05462758187 rounded to six decimal places?\nAnswer: -0.054628","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 155\/34638 and -38\/190509.\nAnswer: 381018","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3050404 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1110000110101010 + -100?\nAnswer: 1110000110100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -942703*g + 942647*g - 168 = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -5*r**2 - 193*r + 95748. Give d(-159).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-1*(-1 + 10))\/(29 - 30)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 1\/16, 1 in ascending order.\nAnswer: -1, 1\/16, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, e: 4, q: 1, j: 2, c: 5, r: 2}. Give prob of picking 1 q and 1 e.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 71021.33mg?\nAnswer: 71021330","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -23 - 23564*r - 23569*r + 47129*r. Let z(p) = 7*p. What is z(d(n))?\nAnswer: -28*n - 161","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8372\/1365 - 4\/30.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -4*x + 845, -5*l = -4*x - 3*l + 830. Suppose 15*f - x = 10*f. Suppose -o - 2*o + 5*c + f = 0, 0 = -3*c. List the prime factors of o.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -29 + 17. Let v(b) = b**2 + 13*b - 18. Let m be v(-14). Let a be 8\/x + m\/(-6). Solve a*l - 4 = -2*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*v**2*z**3 + 49*v*z**3 - 77*z**3 - 1 wrt v.\nAnswer: 4*v*z**3 + 49*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o, 0 = 5*d + 4*o + o - 30. Suppose 1148 = -2*p + d*p. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 153408, 613648, 1380716, 2454612, 3835336, 5522888?\n\"Answer: 153414*m**2 - 2*m - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (1 - (-1 - 246)) + (19 - 16) is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24061 = 3*c - 29*s + 30*s, -5*s = -2*c - 16069. Let h be (673515\/(-6) + -2)\/(-14). Let i = h + c. Find the common denominator of 83\/18 and i.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7\/(-2) + 1)\/(6\/(-12)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(1\/14)*z\/(z\/z**(-25)*z) assuming z is positive.\nAnswer: z**(-363\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**2 + 7*o. Let b be z(0). Suppose b*h + 52 = 2*h. What is the greatest common factor of h and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 776 + -753. What is the highest common factor of 253 and l?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.062572482 to 3 decimal places.\nAnswer: 0.063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i - 8. Let a(c) = 4. Let b(s) = 5*a(s) + 3*r(s). Let f(z) be the first derivative of 9*z**2\/2 - 11*z + 641. What is 11*b(o) - 4*f(o)?\nAnswer: -3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3114952 divided by -4.\nAnswer: 778738","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 120 and 30.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 60 - 54. Suppose o*i - 5*i = 3*w + 74, 2*w + 58 = 5*i. List the prime factors of 48\/5*(-300)\/w - 2.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -1188*d - 58239. Give a(-49).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j + 3*q, -j - 4*q - 2 = -6. Let n be (-126)\/j*(-4)\/6. Which is smaller: n or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 695648?\nAnswer: 2, 21739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 195.7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 6600 = -6*h. What is h rounded to the nearest one hundred?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 0 - 23*s**3 - 32*s + 19*s**2 - 2 + 22*s**3. Let d be z(17). Calculate the highest common divisor of 64 and d.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*j - 38*j**2 + 76*j**3 + 73*j**3 - 148*j**3 to b + k*j**2 + w*j**3 + t*j and give k.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -23 + 30. Suppose -76704 = -u*a + 5453296. What is a rounded to the nearest one hundred thousand?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -383.0133 + 0.0133. Let a = j - -383.00764. Round a to 3 dps.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 - (-18 + (10 - 2))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1300*d**2 + 32*d + 6 - 21*d + 1336*d**2 to the form o + v*d**2 + q*d and give q.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 267*j**3 - j**2 - 2*j - 1. Let l = 0 - 1. Let z be h(l). Find the common denominator of 1 - (-1 + z\/(-24)) and 1\/2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 11*r - 4. Let o(x) = -2*x**2. Determine o(i(j)).\nAnswer: -242*j**2 + 176*j - 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 383 = -m, m - 237 - 17 = -2*r. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11573207 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 42, 79, 116, 153, 190, 227?\nAnswer: 264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5737*k**2 + 717*k**3 - 854*k**4 + 4 - 4 + 1644*k**4 - 787*k**4 wrt k?\nAnswer: 72*k + 4302","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34.3910417 - -34.\nAnswer: -0.3910417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 2*p = -18, -2*p + 30 = 5*x - 4. Let m = -6 + x. Let c(r) = -2*r**2 + 3*r**2 - r**3 - 120*r - 2 + 123*r. What is c(m)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 2*b + 1. Give p(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - -61) + 42 + -67?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 5*w + 29 = 0, -r + 8 + 6 = 2*w. Solve -z + 2*z + 4 = -3*m, -r*z - 4*m = 8 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -21 and -0.0233?\nAnswer: 0.4893","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the first derivative of -v**2\/2 - 3. Let c(m) = -3*m. Give 3*c(h) - 6*x(h).\nAnswer: -3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k - 93*m = -92*m - 25, -3*k = m - 15 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**3 + 16*a**2 - 50*a - 125. Give g(10).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -6 + -1?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**2 + 12*m + 16. Let w(i) = 13*i**3 + 2*i**2 - 2*i. Let a be w(1). Let g be p(a). What are the prime factors of (-1 - g - -62) + 0?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5665738956?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -172, -194, -258, -382, -584?\n\"Answer: -3*o**3 - 3*o**2 + 8*o - 174","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -59524 + -0.51.\nAnswer: -59524.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 + -5. Suppose j = z + 4*z - 20. Suppose v + 3*k = 6*v - 147, 0 = -3*v + z*k + 86. Solve u - 4*s = -5, -4*u - v + 10 = 3*s for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 + 4 + (4 - -2) + (-3 - -11) + -4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1565\/6 - 784\/3. Let x = -9.63 - -11.6. Let h = x - -0.03. Which is the closest to 2? (a) q (b) h (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/10)\/(6\/(-30)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*r + 11*r = -14*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 869325 and 9562575.\nAnswer: 9562575","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.5, 2\/9, 1, 4, 33, 0?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -2*c + 8. Let f(o) = 229*o - 4. Let m(r) = -125*r + 3. Let h(y) = -6*f(y) - 11*m(y). What is -3*h(u) - 2*i(u)?\nAnswer: u + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 0.3, 1, -2, 5\/6?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -11301322 (base 4) in base 7?\nAnswer: -126010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -969.77 - -3.\nAnswer: -966.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -397894, -397926, -397988, -398086, -398226, -398414?\nAnswer: -398656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 v when two letters picked without replacement from xxxxxxxvxxxxbxxvx?\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 48\/5 of a centimeter?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*p + 11*p - 20 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/35)\/(528\/1232)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2239 = 88*m + 225, 0 = -3*x + 2*m + 59 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 13\/6157 or -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1.02*68\nAnswer: 69.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 8, 88, -5, 51?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/(-8) - (-76)\/32. Differentiate -16 + 2*h**2 + 18 + 5*h**z + 21 with respect to h.\nAnswer: 14*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**2 + 96*v + 1831. Give t(-26).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -f - a2?\nAnswer: -b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in thirteen ninths of a day?\nAnswer: 2080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 4626 = -2*b, -s + 6*s - 4*b = 5781. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((-4*sqrt(7)*-1)**2 - sqrt(7)).\nAnswer: -sqrt(7) + 107","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53*g**2 - 28*g**2 - 12*g**2.\nAnswer: 13*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 25 = -5. Solve 2*i + 1 - d = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -72 + 67. Let q be (1 - 2)\/((-3)\/(-2)). Which is the smallest value? (a) q (b) 4 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -3*h + 6. Let y(d) = d + 6. Let z be y(-10). Let i(m) = -3*m + 6. Let n(f) = z*p(f) + 3*i(f). Is n(15) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.4 (b) 71 (c) -479 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2675, 6209, 9743, 13277, 16811, 20345?\n\"Answer: 3534*j - 859","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 3*p**2 + 2*p + 1. Let g be h(-2). Let y(o) = -2*o**2 + o + 1. Let j be y(-1). Calculate the common denominator of 17\/8 and j + (g\/5 - -1).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**2. Let a be (4\/3)\/(10\/15). Let f(m) = 3 + 2 - 9*m**a - 5. Calculate s(f(u)).\nAnswer: -81*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(114) + sqrt(114))*-5)\/(sqrt(6) - sqrt(24)*-4)*5.\nAnswer: 25*sqrt(19)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 180\/16*((-63)\/(-6))\/(-7)*(-29)\/(-435)?\nAnswer: -9\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 165087.5 meters in kilometers?\nAnswer: 165.0875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 256769.3ml in litres?\nAnswer: 256.7693","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**3 - 4*u**2 - 5*u - 4. Let b be n(-2). Calculate the smallest common multiple of 7 and (2\/b)\/(11\/(-121)).\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-20)\/(-8))\/(4\/(-8)). Let f be (-3156)\/(-4) - r - (0 + -4). Let b = -523 + f. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 63*w**4 + 2 - w**4 - 57*w**4 - w**2 - 8*w + 14*w**3 to the form t*w + m*w**2 + h + o*w**4 + v*w**3 and give v.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p + 2*y - 37 = 3*p, -5*p - 3*y = -38. Let w be (-3 + p)*(-2)\/(-2). What is the second derivative of 4*z - z**w + 4*z - z - 6*z wrt z?\nAnswer: -12*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 357765 + 79?\nAnswer: 357844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 188808193 a multiple of 3073?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 136 - 207. Let k = c + 68. Sort -4, 5, k, -5 in descending order.\nAnswer: 5, k, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 + 0. Suppose a*d + 0*d = m - 1, d - 10 = -m. Suppose 4*w - m = 13. List the prime factors of w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 168990*h + 381278.\nAnswer: 168990","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 - 5. Solve f = 6*c - 2*c + 4 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1132887 minus 0.4?\nAnswer: 1132886.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n = -20, p - 16*n + 12 = -17*n for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4571 - 1156. Suppose -3*g = x + g - y, 0 = 3*x - 3*g - 10260. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/9 (b) 0.4 (c) -5 (d) -0.5112 (e) 0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1315, -2527, -3737, -4945, -6151, -7355, -8557?\n\"Answer: r**2 - 1215*r - 101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -313 (base 6) to base 10\nAnswer: -117","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = -y + 20 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 12108797 to the power of 1\/2, to the nearest integer?\nAnswer: 3480","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 156*q + 2643 = -1725 for q.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 27 - (13 + (50 - 14))?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7371 and 1627911.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 8*l. Let r(n) = 517646*n. Determine d(r(w)).\nAnswer: 4141168*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 3*m**2 + m + 2. Let a be y(-2). Let j be (3\/(-9))\/((-2)\/a). Suppose -j*p + 33 = -p. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(128) - sqrt(128)*2 - sqrt(128)))**2*5.\nAnswer: 92160","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = 5*j - 44, j + 10 = h + 26. Suppose -13*k = -j*k - 16. What is the smallest common multiple of 46 and k?\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 139, 106, 73, 40, 7?\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -66*o**3 - 7*o**4 + 66*o**3 + 4*o**4 - 4*o**4 - 2*o**4 + (3*o**3 + 0*o**3 - o**3)*(2*o + 2*o - 2*o) + 3*o**4 - 2*o**4 - 2*o**4.\nAnswer: -6*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(35) - -1*sqrt(35))\/sqrt(7) - -4*-2*sqrt(5).\nAnswer: -6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -30*v**4 + 360583*v**3 + 2190601*v - 1.\nAnswer: -360*v**2 + 2163498*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -1002*b**2 + 1 + 0 - 1590*b**2 - 3 - 1735*b**2 in the form m + h*b**2 + f*b and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10 - -10. Suppose 0 = -b - l*b. Suppose 3*v + h = -h + 34, b = -2*v - 4*h + 12. Calculate the remainder when 39 is divided by v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-174)\/(-1015) + (-27390)\/525.\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 669608.7nm?\nAnswer: 0.06696087","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 37299?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -2*g**3 - g**2 + 2*g + 8. Let o be w(-4). Suppose -l = 3*l - o. Calculate the remainder when 53 is divided by 6\/(-21) + 512\/l.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 + 1. Let d = f - -8. What is the second derivative of 0*t + 3*t**4 - d*t - 4*t**4 + t wrt t?\nAnswer: -12*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 569 (b) 0 (c) 2.8253\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f - x - 36 = -3*x, 16*x + 21 = -4*f + 197 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (22000\/3)\/(4 - (-8105)\/(-2025)). What is u rounded to the nearest 100000?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 671, -2, 7\/3, 3\/11 in descending order.\nAnswer: 671, 7\/3, 3\/11, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -6775, -27188, -61209, -108838, -170075?\n\"Answer: -6804*r**2 - r + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the third derivative of t**9\/252 - t**6\/24 - 49*t**5\/60 + 2*t**2 + 11*t. Find the third derivative of m(p) wrt p.\nAnswer: 240*p**3 - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 71\/6 (b) -98 (c) 77 (d) -4 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 4*a**2 + 8*a - 14. Let j(g) be the first derivative of -3*g**3 - 9*g**2 + 27*g + 133. Let f(i) = 5*h(i) + 2*j(i). Factor f(d).\nAnswer: 2*(d - 2)*(d + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.07 - -0.96\nAnswer: 1.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7.09 + -0.09. Let q be 221\/156 + (-217)\/28 + 7. Which is the closest to -3? (a) -5 (b) j (c) q (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 226339584 equal to 226339584?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2043*q = -2054*q - 66. Let a(c) = 4*c**3 + 7*c + 2. Let g(b) = b**3 + 2*b + 1. Determine q*a(j) + 21*g(j).\nAnswer: -3*j**3 + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3499 smaller than -183?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a kilogram in grams?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the first derivative of -397*i**5\/5 - 5*i**3\/3 - 3928*i - 6445. Differentiate n(l) wrt l.\nAnswer: -1588*l**3 - 10*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 571 divide 12208551?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20 - 10112002202?\nAnswer: -10112002112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*g**3*o + 62*g**3 + 2*g**2*o + 4*g*o - 2*g - 1 wrt g.\nAnswer: 12*g*o + 372*g + 4*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -476*n + 129464. What is f(272)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 2 p when three letters picked without replacement from pmhbmhmhmhmhhqhphpph?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*t - 3323 - 1090 - 7755. Is 78 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 7*j. Suppose -4*z + 65 = -q, q + 1 = -j*q. Let l = z - -1. Solve 2 = -3*a + l for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9*h**3*k + 778*h**3 - 503*h**2*k - 23*h*k**4 + 5*h with respect to k.\nAnswer: -9*h**3 - 503*h**2 - 92*h*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (42\/(-35))\/((-2)\/5). What is the third derivative of 15*f**2 - 11*f**2 + i*f**6 + 41*f**2 - 44*f**6 wrt f?\nAnswer: -4920*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**2 - 6*w + 9. Let b be s(5). Let g = -100 + 149. Let c = 48.6 - g. What is the closest to -13 in c, -1, b?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 + -1. Suppose 2*q + 18 = -i*w, 5*q + 0*w + 10 = -3*w. Let l(y) = -y**3 - 5*y**2 + y + 6. Let o be l(-5). Are o and q non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 18 - 16. Suppose 0 = -0*w - a*w + 26. Let g = w + 9. What is the smallest common multiple of g and 20?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*c - 101 = c + 51. Sort 0.1, 0.393, -3, c.\nAnswer: c, -3, 0.1, 0.393","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g and 1 b when four letters picked without replacement from bgbgbg.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((w**(1\/2)\/w)\/w)**(-1\/5)\/((w\/w**(3\/13))\/w**2))**(-20))**(-14) assuming w is positive.\nAnswer: w**(5572\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 2 w when three letters picked without replacement from pzpwws.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -50*v - 998. Calculate i(-20).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -4*x - 9. What is the highest common divisor of x and 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 745341044 a multiple of 266?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (28\/(-5))\/((-43)\/(1505\/(-966)) - 28).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 985225?\nAnswer: 5, 39409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 7) in base 6?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**2 + 3*x - 2. Let o(j) = j**2 + j. Suppose 15 = -5*p - 5*d, 0 = -d - 3*d. Let q be ((-2 - -1)\/(-1))\/1. What is p*o(m) + q*w(m)?\nAnswer: -2*m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/6)\/(12\/(-3))*-2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the first derivative of 21*o**2\/2 - 36*o - 28. Does 9 divide c(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -7 - (5 - (-2)\/(-6)*63). Suppose 0 = 4*q - 3*q + 6. Sort 0, q, w, 4 in ascending order.\nAnswer: q, 0, 4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 - -3. Let z = h - 0. Suppose -22 = z*l - 4*l + 4*u, 4*u - 20 = -4*l. What are the prime factors of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 519 is divided by 30?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3321 > 21324?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*n**2 - 4*n**2 + 6*n**2)*(-40705 + 40705 + 600*n) - n**3 + 13*n**3 + 141 - 141.\nAnswer: -588*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25905 is divided by 53.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -3*x**2 + 213*x + 4806. What is c(89)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*j + 3*j = 3*f + 6, -555*j = -566*j + 5*f + 52 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 66 and 4191?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 97 divide 1089892?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -39 + 64. Suppose n - 5 = 4*o. Suppose -2*b + o = -3. What is the remainder when 10 is divided by b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-20)\/(-60))\/(1\/(-3)). Let v = h - -7. Solve -v + 18 = -3*g + 3*w, w + 4 = -g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 152274?\nAnswer: 2, 3, 41, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132)\/sqrt(4)*4)\/sqrt(11).\nAnswer: 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(2\/9)*m)\/m)**(-10\/11)*m**(-14)*m**(-15) assuming m is positive.\nAnswer: m**(-2891\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 35353\/4166 at least 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -44, 1, -12.425?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**2 + 15*h - 1357. What is t(30)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 111*j**2. Let r(h) = -1332*h**2. Calculate -37*m(f) - 3*r(f).\nAnswer: -111*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 79279705.\nAnswer: 5, 401, 39541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 49.9 - 50. Put 0, p, 1 in ascending order.\nAnswer: p, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2988)\/22 + (-3)\/((-99)\/(-6)). Is 27 a factor of 2 - 2 - d - -1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4901*o**3 - 9785*o**3 + 4944*o**3 - 2*o to g*o**2 + v + a*o + w*o**3 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10 - 24. Let k be q\/8*(-15)\/35. Which is the second smallest value? (a) 2 (b) 1 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the third derivative of -f**4\/24 - f**3\/3 + 2*f**2. Let p = -2455 - -2462. What is the lowest common multiple of p and s(-6)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 190316249 to the power of 1\/3, to the nearest integer?\nAnswer: 575","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iizoqazqiaezeaz. What is prob of sequence zz?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.64229 - 0.8.\nAnswer: -3.44229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2, -1, 4, 23, 62, 127?\nAnswer: 224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18\/(-1 + 7\/4) - -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*z - 61*z + 85175 = 0. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + -44 + 30 + 20?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v when three letters picked without replacement from vvvvvvvvsvvvvvvvvv.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/505710 and -125\/162.\nAnswer: 1517130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2813*t - 3343*t - 40280 = 0 for t.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/((4\/44)\/((-234)\/(-234))).\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/3 (b) -3 (c) -7 (d) -68\/9 (e) 139\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 162257329, 162257325, 162257321?\nAnswer: 162257317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153) + (sqrt(153) - (sqrt(153) + sqrt(153)*2*3)) + sqrt(153) + -2*-1*sqrt(153))\/(-4*sqrt(63)\/(-3*sqrt(7))).\nAnswer: -3*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -5*p + 7. What is y(3)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.043 - 105.043. Let b = q + 105.000114. What is b rounded to 4 dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b + 70145 = 70149, -x = -8*b + 6 for x.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13215, 2, 0, -236 in decreasing order.\nAnswer: 13215, 2, 0, -236","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -18*n**2 + 38*n + 2132. Calculate z(12).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 25 + -17 - (10 + 1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -161333\/31470 + -112\/1049. Find the common denominator of y and -125\/348.\nAnswer: 1740","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/52 and 115\/3952.\nAnswer: 3952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y - 6*y - 12*m + 44 - 8 = 0, -2*m + m = -2*y + 6 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k + 1. Let j(q) = q + 14. Let b be j(-12). Suppose -3*i - b = -i. Let n(s) = 6*s + 6. Determine i*n(l) + 4*m(l).\nAnswer: -2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 3*k**3 - 37*k**2 + 48*k - 44. Let f be d(11). What is the second smallest value in -13\/6, -0.21, f, 0.3?\nAnswer: -0.21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6671 in -14.2, -0.3, 0.2, -4, 0?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -2*r. Let t(o) be the first derivative of 11*o**6\/360 - 2*o**3\/3 - 15. Let j(c) be the third derivative of t(c). Determine x(j(y)).\nAnswer: -22*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 11.2 * 5\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 671 a factor of 51983632?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/19473399 and -61\/918.\nAnswer: 662095566","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/46 in -0.124, -2\/7, 3, 1.9, -2?\nAnswer: -0.124","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.4 + 3.9. Let k = i - 3. Put -5, 0, k in decreasing order.\nAnswer: k, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -214, 295, 1136, 2303, 3790, 5591?\n\"Answer: -g**3 + 172*g**2 - 385","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1096877?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 - 16 = -5*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -117\/7 + 3676\/217. Are q and 0 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8353078283 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -88*i**2*v*x**3 + i**2*x**3 - 3*i**2*x**2 + 3*i**2*x - 3*i*v*x**3 - 2*i*v*x + 2*v*x**2 - 5 wrt x.\nAnswer: -528*i**2*v + 6*i**2 - 18*i*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3.584193 + 0.183353. Let f = d + 3.4. What is f rounded to four dps?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 851355.6cm to micrometers.\nAnswer: 8513556000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 4*n = -8, l + 3*l = -n + 17. Let v be l\/(2\/(-5) - -1). Find the third derivative of -x**5 - 5*x**2 + 7*x**2 + 0*x**v wrt x.\nAnswer: -60*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -779 >= -778?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*v - 93 + 3. Calculate the remainder when 123 is divided by v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 222.1335087 to the nearest integer.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 + -2.155. Let k = -0.21 - s. Let n = k + 0.05499947. What is n rounded to seven dps?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (81\/(-324))\/(5\/8)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**3 - 7*r**2 + 4*r + 14. Let b be d(6). Suppose -b*f = -0*f - 12. What is the remainder when f is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 17 - ((-2)\/1 - -6). Suppose -8*g - 60 = -a*g. What is the least common multiple of 14 and g?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d + 2*d - 4 = 0. Let r be d\/(-3) - (-70)\/15. Solve -y + 3*o - 2 - 6 = 0, -o = -r*y - 26 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**2 + 5*f - 3. Let h be r(-6). Let d(l) = -24*l**2 + 30*l - 46. Let k be d(6). Let c = k + 731. Solve a - c = h for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.1 + -2. Let u = -1773 + 1772.6. Let l = -4.8 + 5. Which is the closest to q? (a) l (b) -4 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 74\/(-111) + 28262\/(-6). Let k = y - -9511. Round k to the nearest 10000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 13*c**3 - c**2 - 37*c + 67. Determine l(-7).\nAnswer: -4182","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, -0.4, 1\/11, -3\/7, 10, 4?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -314, -1323, -3022, -5411?\nAnswer: -8490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 19068 and 84?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-20)\/(-6))\/(-10)*(-6)\/4.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*y + j + 17, 6*y + 2*j = 32*y + 206 for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61*s = 63*s - 8. Put -3, -6, s, 3 in descending order.\nAnswer: s, 3, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s and 1 j when four letters picked without replacement from {j: 5, s: 13}?\nAnswer: 143\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/(-3)*-2)\/(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mpmm when four letters picked without replacement from pmmmppppmp?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ncmciiz. What is prob of sequence zmi?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 47064690?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f**5 - 6*f**4 - 18*f**3 + 46*f**2 - 24*f = 0.\nAnswer: -3, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(sqrt(605) + (sqrt(605) - (sqrt(605) + -2 + sqrt(605) - sqrt(605))) + sqrt(605)) - (-1 + 3*sqrt(605))) + 3*(1 + sqrt(605) + -5)*-6)**2.\nAnswer: -41470*sqrt(5) + 513030","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -29 - -42. Let m = 6 - w. Let a = m - -19. List the prime factors of a.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -2*z + 8. Let h be t(7). What is the common denominator of 20\/7 and (-2)\/h - 64\/30?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 24318*t**2 + 119881*t + 138.\nAnswer: (14*t + 69)*(1737*t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 + 2 + 2)*1. Find the second derivative of -2*h - 2*h - w*h**2 + h wrt h.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -0.017 (b) -1\/7 (c) 0.19 (d) -1\/2 (e) 1\/6 (f) -2\/103\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o + 3. Let m(a) = 2*a**2 - 4*a - 11. What is 5*c(x) + m(x)?\nAnswer: 2*x**2 + x + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 54459507?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i - 1. Let j be q(-2). Let h(r) = r + 3. Let w be h(j). Let z be 32\/(-6)*(-3 + w). What is the greatest common divisor of 64 and z?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59122600?\nAnswer: 2, 5, 17, 17389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 2\/7, 2, -2.9?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 4950?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6155 + -12541\/2. Let y = -118 - p. What is the second smallest value in 1, y, 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 + -24137258?\nAnswer: -24137263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*i**5 - 32*i**3 - 1014*i**2.\nAnswer: 240*i**2 - 192","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 5*x, 693 = 3*b + 2*b - 3*x. Suppose 0 = b*a - 137*a - 16. Solve -9 + 1 = a*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -42561 divided by -7068\nAnswer: 14187\/2356","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 54 + -29. What is the second derivative of -40*p + t*p + 24*p + 2 + 48*p**3 wrt p?\nAnswer: 288*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 16215 and 42090.\nAnswer: 1978230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111020102222 (base 3) to base 11.\nAnswer: -168858","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvqv when four letters picked without replacement from {q: 5, e: 4, v: 6}.\nAnswer: 5\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -131068*o = -5*q - 131067*o - 67, 0 = 3*q - o - 3*o + 47 for q.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -2*q**2 - 20*q + 20. Let p be f(-9). Let n = 179 + -84. What is the highest common divisor of n and p?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1522*s - 222093 + 15101 for s.\nAnswer: 136","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m + 9*m = 54. What is the greatest common divisor of m and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -468, -311, -300, -513, -1028, -1923?\nAnswer: -3276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 28047 a multiple of 160?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 38744 and 115896664?\nAnswer: 1336","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1109790)\/(-13452)*(-12)\/22?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.5 and -30778.\nAnswer: -30777.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5324) + sqrt(5324)*-2*1 + sqrt(5324) + sqrt(5324) + -4)**2*2.\nAnswer: -352*sqrt(11) + 10680","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -3. Let m(y) = y. Let k(a) = 3*m(a) + o(a). Let g(v) = v**2 + v + 4. Let s be g(0). Determine k(s).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 139\/14958 and -13\/18.\nAnswer: 14958","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2\/7))**(-10\/9)*t**9\/(t*t**8) assuming t is positive.\nAnswer: t**(20\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(-1))\/o**(5\/2))**(-50)\/((o**0)**(-48))**36 assuming o is positive.\nAnswer: o**125","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i*i**(3\/10)*i*i*i**(-1\/2))**(-3\/7))**(-27) assuming i is positive.\nAnswer: i**(1539\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(20) + sqrt(40)\/sqrt(2) + -3)**2.\nAnswer: -24*sqrt(5) + 89","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 3*y - 126. Suppose 0 = 5*j - y + 2. Let g = -23 + 33. What is the lowest common multiple of g and j?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10001010111001100010011 (base 2) to base 4\nAnswer: 101113030103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**5\/(r\/(r\/(r**(-8\/5)*r)*r)))\/((r*r**(-1\/7))\/r)**16 assuming r is positive.\nAnswer: r**(311\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 488 a factor of 121203?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1377, 5221, 11627, 20595, 32125, 46217, 62871?\n\"Answer: 1281*z**2 + z + 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -42*z - 18. Let b(o) = -23*o - 10. Let l(g) = -9*b(g) + 5*f(g). Let h(q) = 145*q. Calculate h(l(u)).\nAnswer: -435*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 8*p**3 + p**2. Let r be m(1). Let f(l) = -3*l**2 - 3*l - 1. Let g(z) = 7*z**2 + 6*z + 2. Let c(o) = r*f(o) + 4*g(o). What is c(5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14262366.\nAnswer: 2, 3, 1231, 1931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49 and 34\/295849?\nAnswer: 295849","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/4*2 - 6345\/(-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1682881331 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 166682, -1\/27 in descending order.\nAnswer: 166682, -1\/27, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -142*r**4 - 315388*r**3 + r + 436369925.\nAnswer: -568*r**3 - 946164*r**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2686445 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 6 - 1 - 18*v**2 + 16*v**2.\nAnswer: -2*v**2 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2926, -2924, -2932, -2956, -3002?\nAnswer: -3076","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 3) to base 12\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 125 - 17. Is t a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (4 - -2) + -5 + 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the first derivative of 2 + 0*t**2 + t + 50\/3*t**3. Is w(-1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-4 + sqrt(1584)) - (3*(sqrt(1584) + (sqrt(1584) - (sqrt(1584) + 0 + sqrt(1584))) - sqrt(1584)) - sqrt(1584)))**2.\nAnswer: -1152*sqrt(11) + 6912","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -64 times 2108133?\nAnswer: -134920512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -10931202 divided by -86\nAnswer: 127107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:07 AM and 1:52 PM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 43 = 3*d, -5*w = -2*d - 0*w + 2. Let l(z) = z + 13. Let j be l(d). Suppose -j*q + 3*r + 89 = 0, -3*q - 5 = 5*r - 79. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -18a876a20 - 1?\nAnswer: -18a876a21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 s, and 1 f when three letters picked without replacement from shushsyhfhsuuslfys?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -8*w + 772. Give v(95).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 20 = 3*s. Let c = s + -9. Let p(d) = 32*d**3 + d. Does 23 divide p(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2332.\nAnswer: 2, 11, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*j - 4*j + 2*j)*(0 + 0 + 3)*(1 + 1 + 0)*(0 - 6 + 3)*(-3*j - 24 + 24) as u + w*j**2 + i*j and give w.\nAnswer: -216","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the first derivative of -12\/5*i + 3\/5*i**2 + 19 + 2\/5*i**3. Determine v, given that m(v) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6*13\/(-12))\/(2\/4)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes after 5:35 PM?\nAnswer: 7:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -4*b**2 - 6*b + 372. Let w(k) = -2*k**2 - 3*k + 185. Calculate 5*u(t) - 11*w(t).\nAnswer: 2*t**2 + 3*t - 175","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 923, 21, -1.172?\nAnswer: 923","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 793 + 902. Suppose 6*q - q = k. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/1*24\/(-160))\/((-147)\/56)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**3 - 15*c**2 - 18*c + 27. Let q(v) = -19*v + 187. Let y be q(9). Determine r(y).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2 and -1054933.25386.\nAnswer: -1054931.25386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 508991?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -t - 4*t, 3*q - 4*t = 13. What is the third derivative of 13 - 7*j**2 + 3 - 16 + q*j**6 wrt j?\nAnswer: 840*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 43 + -36. Let g(h) be the second derivative of -h + 0*h**4 + 0 + 1\/42*h**u + 1\/6*h**3 + 0*h**6 + 0*h**2 - 1\/10*h**5. What is j in g(j) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the second derivative of 0*t**3 + 11*t + 1\/21*t**7 - 1\/5*t**5 + 0*t**2 - 1\/15*t**6 + 0 + 0*t**4. Suppose s(c) = 0. Calculate c.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3\/121 + 983\/605. Suppose -7*x + 216 = -13*x. Let b = 39 + x. Is v >= b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 899, 7, -2, -5, -3.\nAnswer: -5, -3, -2, 7, 899","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the second derivative of -c**6\/150 + 4*c**5\/25 + 2*c**4\/3 - 32*c**3\/15 - 72*c**2\/5 + 13781*c. Factor m(b).\nAnswer: -(b - 18)*(b - 2)*(b + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8, 15, 62, 145, 276, 467, 730, 1077?\nAnswer: 1520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -15493 - -15489. Let p(h) = -4*h**2 - 6*h + 4. Let l(u) = -3*u**2 - 5*u + 4. Give c*p(x) + 5*l(x).\nAnswer: x**2 - x + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -616112442 divided by -6.\nAnswer: 102685407","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 60542551 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 909191?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10560955 by -5.\nAnswer: -2112191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 56 = 4*o, 4*o + 5*i - 2*i = 60. Solve -2*p - p = -o for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in g**2 - 22*g**2 + 8*g**2.\nAnswer: -13*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5285970, 5285965, 5285962, 5285961, 5285962, 5285965, 5285970?\nAnswer: 5285977","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.5 and 231019033024.\nAnswer: 231019033023.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 156884 is divided by 14258.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 - b85e73?\nAnswer: -b85e76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 - (-5 - 12)) + -22 + 46.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76*o + 3059 = -617*o - 5597 for o.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61551 is divided by 7602.\nAnswer: 735","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9271593?\nAnswer: 3, 709, 1453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 18 - -4771146?\nAnswer: 4771164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v = -173 - 58. Suppose 3*m + 2*m = k + 140, 0 = -m - k + 28. Calculate the remainder when (-1743)\/v + 6\/33 is divided by m.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -195 + 197. Suppose -k*t + 7*a - 3*a = -28, -a + 20 = t. What is the smallest common multiple of t and 66?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the second derivative of 521*i**3\/6 - 3*i**2\/2 - 12*i. Let m be w(1). Suppose -m = -7*k - 0*k. List the prime factors of k.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 3685*d - 916*d = 829 + 32399 for d.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and -7749.\nAnswer: 3099.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vu when two letters picked without replacement from ukv.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 204\/(-92)*(-14927)\/1947.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 20*r**2 + 3*r + 30. Let d(h) = -7*h**2 - h - 11. Let x(n) = -17*d(n) - 6*w(n). Give x(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*a**3\/5 - 1451286*a**2 + 6*a\/5 + 1451286 = 0 for a.\nAnswer: -1209405, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-10))**(-1))**(-12\/7) assuming y is positive.\nAnswer: y**(-120\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*j**2 - 2*j**3 + 0 - 2*j - 5 + 11*j**2 to w + i*j + x*j**3 + l*j**2 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**2 - 6*o - 3. Let v be l(-5). Find the third derivative of -2*w**3 + w**v - 4*w**2 - w**3 + w**3 wrt w.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -112253, -112258, -112263, -112268, -112273?\nAnswer: -112278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p - 3*p = -4*t + 68, 2*t - 10 = -p. Suppose -2 = -6*d + p. Let n(g) = -2 + 5*g - g + 3 - 2*g**2. Give n(d).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000013813738 rounded to seven dps?\nAnswer: -0.0000138","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 11472 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4\/3 in -0.1, 4, 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o\/o**(-3)))\/o**(-7)*((o*((o*o*(o*o**(1\/2)*o)\/o)\/o)\/o)\/o)**1*(o**(-4)\/(o*o*(o\/o**(1\/30))\/o*o))**(18\/11) assuming o is positive.\nAnswer: o**(-59\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-17)*(j*j**(1\/15))\/j)\/(j\/j**(2\/127)*j*j*j\/j**(17\/3)) assuming j is positive.\nAnswer: j**(-29053\/1905)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1\/17)*y**(-10)\/y*(y\/y**(-1\/11))\/y*y**13)**(7\/9) assuming y is positive.\nAnswer: y**(2660\/1683)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -145 divided by -10\nAnswer: 29\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-117)*(-2544)\/(-106)*5\/20?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 360 and 315.\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 25 = 2*m. Suppose -m*q = -3*q - 6, 2*o - 25 = q. Solve 0*p + o = -5*p + i, 3*p - 2*i = -7 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -4*x + 19. Calculate m(11).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i - 3*y - 17, -11*i + 4*i = 4*y - 32. Solve 12 = 5*w + 4*f, 8*w - i*f - 16 = 6*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 865 is divided by 230.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -x + 17*o - 18*o - 2, 0 = -o for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**2 - 24*p + 82. Let s be w(4). Determine z so that -z**5 + 7\/5*z**4 + 4\/5 - 8\/5*z + 13\/5*z**3 - 11\/5*z**s = 0.\nAnswer: -1, 2\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y + 39 - 47. Let i = 12 + y. Suppose 16 = 4*t - i. Which is the third smallest value? (a) t (b) -4 (c) 0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -53*r - 9. Let a(u) = -u**3 - u**2 + u + 13. Let t be a(0). Suppose -3*h - 5 = 2*g, -5*h - g - t = -0. What is the units digit of z(h)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2295677*x + 2741170.\nAnswer: 2295677","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 86369334?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -3*w**2 + 2*w. Let r be n(-2). Let b be (6\/10)\/((-12)\/r). What is the third biggest value in b, -0.1, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28272090373 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -0.0187, -2, -3\/8 in increasing order.\nAnswer: -2, -1, -3\/8, -0.0187","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7240.870264 - -7241. Let y = -0.2154 + 0.3454. Let a = s - y. What is a rounded to 4 decimal places?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -168872 - 0?\nAnswer: -168872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**3 - 28*r**2 - 61*r + 30. Let h be x(30). Solve 5*k = 2*k - j - 10, h = 5*k + j + 16 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -22*c**3 + 20*c**2 - 21*c**3 + c**2 - 16*c**3 - 2 + 57*c**3 in the form f*c**2 + l*c + w*c**3 + y and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8 in 5\/4, 2, -45?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1361*w + 637*w = -503*w - 222 - 1104 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 2 = m, 5*m + 6 = g + 3*m. Let t be 2\/(-10)*(3 - 11)\/g. Factor 4*n + 8\/5 - 4\/5*n**4 + 12\/5*n**2 - t*n**3.\nAnswer: -4*(n - 2)*(n + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -527.63 - -578.6242. Let k = 51 - m. What is k rounded to three decimal places?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*a**2 + 3 + 2*a**3 - a**3 + 2*a**4 - 3*a**3 + 13*a**2 + 31*a**2 in the form d*a**4 + v*a + p + u*a**3 + y*a**2 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -49333, -5, 3, -11273 in descending order.\nAnswer: 3, -5, -11273, -49333","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -7*p**2 - 101*p + 102. Calculate c(-15).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 489 and 1613211.\nAnswer: 489","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-141)\/(-90) + 0 + (-64)\/160\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 109497?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -200, -666, -1934, -4406, -8484, -14570, -23066, -34374?\n\"Answer: -67*u**3 + u**2 - 134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 0*m**2 + m**2 - m**3 + 2 - 92*m + 96*m. Let u be y(-5). Suppose -572 = -5*n - 2*z, -n + u = 4*z + 14. Does 19 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/1 - ((-21)\/(-9) + -2). Determine b so that 0*b - 16\/3*b**4 + l*b**3 - 2\/3*b**2 + 0 + 7\/3*b**5 = 0.\nAnswer: 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 66*(-10)\/30*-1.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 69 + -124?\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -v**3 + 3*v + v - 2*v + (-2*v**2 + 0*v + 0*v)*(-13*v - 17*v + 3*v) as a*v**3 + i*v**2 + m + s*v and give a.\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(6)\/(-2*sqrt(432)) + 0.\nAnswer: -sqrt(2)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + 2 + 6 + -3 + -1 + -9?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2240020 divided by -1.\nAnswer: 2240020","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c**3\/7 - 156546*c**2\/7 - 782780*c\/7 = 0.\nAnswer: -5, 0, 78278","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -7 (b) 198287\/24 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 361293 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 18379615801 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9440, 18591, 27720, 36821, 45888, 54915?\nAnswer: 63896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 5, -3, 2, 15, -31, -1 in decreasing order.\nAnswer: 15, 5, 4, 2, -1, -3, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 15 - (-140)\/((-11480)\/4674)?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17*g + 8*g - 20*g + 0*g**3 - 2*g**3 + 15 to the form u + z*g**2 + d*g + a*g**3 and give u.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -437*f + 279*f - 2*f**2 + 279*f.\nAnswer: -2*f**2 + 121*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the second derivative of -c**4\/12 + 3*c**3\/2 + 11*c**2 - 9*c. Does 6 divide x(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111001010100101100 - -11111000?\nAnswer: 111001011000100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**3 - 6*t**2 - 7*t - 3. Let s be 1\/1 + 30\/(-5). What is the units digit of f(s)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5f + cef5?\nAnswer: ce96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*t + 12 + 18 = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q + 13. Let y be r(-5). Find the third derivative of -h**3 + 17*h**2 + 6*h**3 - y*h**3 wrt h.\nAnswer: -78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 4 = 12. Let c = 2 + -2. Suppose 4*g = -b - 19, -4*g + 7*b = 2*b + 25. Sort g, x, c in ascending order.\nAnswer: g, c, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9, 32, 69, 114, 161, 204?\nAnswer: 237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 225884068 divided by 1429646\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from {m: 5, v: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 4, 14, -55.7, -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1333164 by 15871.\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 536 - 813. Let v = i - -435. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r = 150 - 152 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h + 716 = -2*h. Let m = h + -1251\/7. Factor 2\/7*t**4 - 6\/7*t**3 + 6\/7*t**2 + 0 - m*t.\nAnswer: 2*t*(t - 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 - -9. Let q = 230 - 217. Let r be 1*q\/(91\/14). Solve -5*s = -3*l - 16, -g*s + r*l + 0*l = -19 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(1\/2)*q)**(-31\/3)*(q**(1\/4)*q)**(4\/17))\/(q**(-1\/8)\/q**(-5))**(-13) assuming q is positive.\nAnswer: q**(6551\/136)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 393800 is divided by 2210.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1873278?\nAnswer: 2, 3, 11, 9461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/25, 10, -1118, 0.5, 4\/5 in descending order.\nAnswer: 10, 4\/5, 0.5, -2\/25, -1118","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17 and 18?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 8*g - 25 = 5*n, -61 = -5*g - n. Let b(x) = 9*x**3 + 24*x - 11. Let z(j) = 5*j**3 + 12*j - 6. Give g*z(a) - 6*b(a).\nAnswer: a**3 - 12*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -102\/13 + 5445\/689. Suppose -u + 3*u = 5*o, -4*o = 2*u. Which is bigger: o or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 3 + sqrt(162) + (-3 + sqrt(162))*-6 + -4)*-1.\nAnswer: -16 + 45*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -449 (b) 2\/13 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10000101 - -100001?\nAnswer: 10100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -6*i**2 + 3*i + 7. Let t(n) = 3*n**2 - n - 3. Let r(v) = 3*b(v) + 7*t(v). Factor r(x).\nAnswer: x*(3*x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2622 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -25\/216 or -1?\nAnswer: -25\/216","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -100496 or -2311374\/23?\nAnswer: -100496","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -22 - -40. Let p = -110 - -116. Let c = m - p. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1375972?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*j - 6 - 11*j - j**2 in the form w*j + f*j**2 + p and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5 - 2*s**4 - 5 + (-4 - 5*s + 4)*(3*s**3 - 5*s**3 + s**3).\nAnswer: 3*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 - -12220122?\nAnswer: 12220111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 1.675814g?\nAnswer: 0.001675814","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*n**2 + 4*n**2 + 3*n**2)*(183*n + n**2 + 7*n**2 - 153*n) in the form j*n + m + l*n**2 + x*n**3 + y*n**4 and give y.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 + -9 - (2 + (2 - 0)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/16 + 4\/(-16). Let f = 1.3 - 3.3. Which is the second smallest value? (a) f (b) t (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3.5 + 6. Let f = 2 - j. What is the closest to -0.1 in 0.4, f, -5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/((((z*z**(-2))\/z)\/z)\/z*z*z))**(-2\/27)*(z\/((z\/(z*z**6))\/z*z))\/(z**(-1)\/z) assuming z is positive.\nAnswer: z**(79\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7504 = 1437*c - 1451*c. Calculate the least common multiple of 36 and c.\nAnswer: 4824","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(4*sqrt(136)*-2)\/(-2*2*sqrt(8)).\nAnswer: -8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 1\/637524?\nAnswer: 1\/637524","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*4\/(-6)*-9.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(68) + 0)*-3 - sqrt(68))*1.\nAnswer: -8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 70*j**2 - 140*j + 15. Let t(v) = -5*v**2 + 10*v - 1. Let q(r) = -4*k(r) - 55*t(r). Solve q(x) = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -43872.9 and 67.\nAnswer: -43805.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -9*c**2 + 3*c + 3. Let m(v) = -19*v**2 + 7*v + 7. Give 14*d(a) - 6*m(a).\nAnswer: -12*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Do -179765 and -179826 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 408295 or -58?\nAnswer: -58","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-19)\/((-1026)\/48))\/((-4)\/(-18))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -8348*m - 309531. Give i(-37).\nAnswer: -655","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 373251 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: Calculate the remainder when 1264 is divided by 241.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 134082 (base 10) to base 8.\nAnswer: 405702","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.1089619 take away 63?\nAnswer: -74.1089619","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22612, 21847, 20574, 18793, 16504, 13707, 10402?\nAnswer: 6589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/6, -2, 0.3, 439, 1 in ascending order.\nAnswer: -2, 1\/6, 0.3, 1, 439","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 2 + 2)*(-4 + 4 + 8)*((1 + 4 - 4)*(-2*j - 1 + 1) + 1 - 1 - 3*j)*(-29 - 7*j + 29) in the form g*j**2 + v*j + t and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -4 + sqrt(2268)*2)**2 - (2 + (sqrt(1575) - (-5 + -1 + sqrt(1575))))**2.\nAnswer: -144*sqrt(7) + 9012","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s*s**4)*s*s*s**16\/s)**50 assuming s is positive.\nAnswer: s**650","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*v + 0*v - 1425 + 2*v + 1425.\nAnswer: 9*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5950)\/(-238) + 140\/(-6))*-1.\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1000 - -1\nAnswer: -999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/30 and 10\/27?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4 + -21*(-4)\/(-20). What is the nearest to -1\/2 in i, 7, -3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 541.92 and -208412.\nAnswer: -207870.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 373 + -389. What are the prime factors of ((-4)\/d)\/(6\/6312)?\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -28 - -32. What is the units digit of (z - 0 - 2) + 32?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence frb when three letters picked without replacement from bzbbbbbfzzzrzzzbz?\nAnswer: 7\/4080","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 6, i: 3, f: 1, n: 1, g: 2, a: 2}. What is prob of picking 1 l, 1 f, and 1 g?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13, -13, -23, -49, -97, -173, -283?\nAnswer: -433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.9000182 to one dp.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 85.1439 minutes in hours?\nAnswer: 1.419065","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5740901?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*f + 968 - 1008 = 0. Solve -2 + 2 = f*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 424 and 183592?\nAnswer: 424","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 2*f**3 + f - 1. Let o be k(1). Let s be (6\/(-4))\/((-3)\/(-4)). Let h be (-3)\/s*2 - 1. Solve h*r - 8 = -o for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110\/(-15)*1530\/4590?\nAnswer: -22\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 158 - 163. What is the biggest value in -0.2, 6, m?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17 divided by 198\nAnswer: -17\/198","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.213 + -1.787. What is the nearest to f in -0.5, 1, 2\/7?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((4 - 4 + f**2)*(-2 + 2 - 1) - 2*f**2 + 0 + 0)*(-7*f**2 + 2 - 2) to the form j + k*f**2 + z*f**3 + c*f + p*f**4 and give p.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13669\/9 - 1519. What is the nearest to f in 6\/7, 1, 5?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1069323 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - -84.128?\nAnswer: 87.128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.22 take away -0.449?\nAnswer: 0.669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the second derivative of n**6\/3 - 4*n**4\/3 - 27*n. What is the third derivative of y(z) wrt z?\nAnswer: 240*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (u + 3 - 5 + 0)*((-u + 2*u + u)*(3*u - u - u) + 3*u**2 + 3*u**2 - 5*u**2 + 0*u**2 - 10*u**2 + u**2) as o*u**3 + b*u**2 + p*u + a and give b.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(119) - -3*sqrt(119))*-2 + -1*sqrt(119)*1)\/((-3*sqrt(84))\/sqrt(12) + sqrt(175) + sqrt(175)*-2).\nAnswer: 9*sqrt(17)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**2 - 2.\nAnswer: 2*(q - 1)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35036 is divided by 245?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -838*l - 2080 = -758*l for l.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 5*n = -3, c - 3*c + 2 = 3*n. Let r(u) = -3217165 + 3217165 + 19*u. Give r(c).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 745 and 18327?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 5 (b) -1\/5 (c) 2 (d) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 - -32387?\nAnswer: 32390","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -ed (base 16) to base 3.\nAnswer: -22210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 363 a factor of 52913421?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 19059497, 38118973, 57178449, 76237925?\n\"Answer: 19059476*z + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:48 PM and 6:07 AM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 3 = 1. Let r be -2000001 - (0 - g\/(-1)). What is r rounded to the nearest one million?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*i - 45*i + 500 = 13*i for i.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pwppwpwwpp. What is prob of picking 2 w and 2 p?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 34 and 425.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -167240830 divided by 96671\nAnswer: -1730","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -341*i**2 - 13 - 1181*i**2 - 369*i**2.\nAnswer: -1891*i**2 - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 18060 (base 16) to base 7\nAnswer: 556611","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 194.6 + -192.6. Which is the fourth smallest value? (a) -0.104 (b) 3 (c) r (d) -6\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -49, -3, 58130, -0.5, 0.3, -1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**6*l**(-5)*l)**(-2\/13)*(((l*l\/(l**(-2\/7)*l))\/l)\/l)**(-2\/37)*l**(-1\/10)*l*l*l\/(l\/((l*l*l**(-2\/7)\/l*l)\/l)*l) assuming l is positive.\nAnswer: l**(45293\/33670)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1916 - -6572. What is the greatest common factor of 48 and w?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 47034, 47027, 47018, 47007?\n\"Answer: -c**2 - 4*c + 47039","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 1 = -4. Let w(l) = 2*l - 4. Let k be w(o). Let c = 16 + -47\/3. Sort k, -0.5, c in decreasing order.\nAnswer: k, c, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 320 - 8 = -3*s, -3*s - 5*a + 332 = 0. Suppose 0 = -r - 5*v + s, 6*r = 8*r - 2*v - 148. Suppose r = q + 4*o, -o - 45 = 2*q - 203. Does 12 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 14, 26, 48, 86, 146, 234, 356?\n\"Answer: o**3 - o**2 + 8*o + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2437 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 32.8 + -33. What is the second smallest value in -2\/15, l, 0.05?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -15*h**2 + 117*h + 30. Determine g(8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 281*n - 516 = -5012 for n.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 188943 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3.6, 0.5, -9\/10.\nAnswer: -9\/10, 0.5, 3.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 23211654?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -90 - -130. Let t = -110 + 113. Let v be -3 + 1 + (350 - -9) + t. Calculate the highest common factor of w and v.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10789708 is divided by 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (70\/(-3))\/(12\/(-18)). Suppose f = 4*t - 129. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -240*v**2 + 454*v**2 - 246*v**2.\nAnswer: -32*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*s + 798 = 29*s. Let j(f) = 28*f**2 - 42*f + 42. Let x(w) = w**2 - w + 1. Calculate s*x(g) - j(g).\nAnswer: 14*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(912) - (sqrt(912) - (sqrt(912) - 2*sqrt(912))))\/(sqrt(15)\/(sqrt(20) + sqrt(5))).\nAnswer: -12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (6\/(-13))\/((-2)\/26). Let u(z) be the first derivative of 0*z**3 + 2\/25*z**5 + 1 + 0*z**4 + 0*z**2 + 0*z - 1\/10*z**y. Factor u(g).\nAnswer: -g**4*(3*g - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, v: 2}. Give prob of sequence rvv.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in twenty-five halves of a millennium?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 285 is divided by 242.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 31, 8, -6.\nAnswer: -6, 8, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 13*1 + (-15322)\/1304. Which is the fourth biggest value? (a) 35 (b) 5 (c) v (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.0685? (a) 0.4 (b) 0.5 (c) -0.5 (d) 49 (e) -0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 5*l**2 + 12*l + 31. Let w be z(-3). Find the common denominator of w\/10*(-9)\/(-132) and -34\/9.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + 7 + (1 - -7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8115544.51 rounded to the nearest one hundred?\nAnswer: -8115500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -27*t**3 + 25*t**3 + 3*t**2 - 6*t**2 - 1 + 2*t to v*t**2 + u*t**3 + o*t + m and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10210.\nAnswer: 2, 5, 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -4*l**3 + 4*l**2 + 4*l. Let m(q) = -3*q**2 + 16 - 5 + 2*q**2. Let y be m(0). Let s(k) = 12*k**3 - 11*k**2 - 11*k. Calculate y*t(v) + 4*s(v).\nAnswer: 4*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-5 + (4 + 6*(4 + -3*(5 + (sqrt(13) - sqrt(637)*-3))))**2).\nAnswer: -12254682 - 294624*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4621907*o**5 - 104*o - 21859?\nAnswer: -92438140*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 26 = -14. Solve 2*w + 16 = -w + u*o, 5*w - 3*o + 12 = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 26 = 2*h, -h + 3*j + 1 - 6 = 0. Let w be 2 - (4\/2 + 0). Let m be (w - 4)*(-14)\/8. Does m = h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2355 + 2344. Let x(r) = -r**3 - 10*r**2 + 12*r + 16. Calculate x(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.0416 + -175.9584. Let d = -176.4 - k. What is the fourth smallest value in -0.1, 1, -0.2, d?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 994389003?\nAnswer: 3, 2237, 49391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 193 + -130. Let x = 88 - f. What is the greatest common factor of x and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 99 = a, 11*m - 13*m - 2*a = -100. Let g be 1*52 - (-2 + 0). Let w = g - m. Solve -4*n + 9 = -w*i, -2*n = n - 4*i - 7 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10159 divided by 7209?\nAnswer: -10159\/7209","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22571 is divided by 11205?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 5*z - 17802 = 0, 117*z - 112*z = -15. What is the hundreds digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 3*k**2 + k. Let p be f(-1). Suppose 0*l + 4 = l + 2*h, -5*l + 2*h = 40. Let r be l\/21 - p\/42. Is -1 <= r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-2))\/(13\/(-169)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 + 3)\/(10 - 8).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0111553 to three decimal places.\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkc when three letters picked without replacement from {c: 4, k: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 1 = -5. Let r be -3 - (f + 3)*-1. Let j be r\/(-3) - (-80)\/(-12). Put j, 2, 3 in descending order.\nAnswer: 3, 2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -4*x**3 - x**2 + 3*x - 4. Let m(r) = -2*r**2 - 5*r**3 + 580 - 2*r**2 - 587 + 5*r + 2*r**2 - 2*r**3. Calculate -3*m(j) + 5*u(j).\nAnswer: j**3 + j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 191 + -320. Let m = v + 10. Does 5 divide m\/(-8) + (-2)\/(-16)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes before 12:53 AM?\nAnswer: 1:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 6\/5 of a decade?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4115 - 4096 - (60 + 0 + 2 + -1)?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 223257 a multiple of 235?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 50 and 1130.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 2*i + 2*y - 694, 0 = -2*i - 4*y + 688. Suppose 2*k + i = 356. Calculate the smallest common multiple of 20 and k.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1249 = -0*p + p + 3*s, 3795 = 3*p - 3*s. Suppose 18*c - p = 827. Is c a multiple of 58?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 4 - 6*f - 1 - 4*f + 3*f + f**2 - 1. Determine n(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((8 + -4 - 4)\/2)\/2. Solve 6*w - 14*w - w = n for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gssgssgsggggggss. Give prob of sequence sgg.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40*o**3 + 45*o**3 + o**2 - o**2.\nAnswer: 5*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 36*q*v**2 + 4*q*v - 2*q + 7*v**2 + 8*v wrt v?\nAnswer: 72*q + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 16*h**2*m**3 - h**2*m**2 + 4*h**2*m + h*m**5 - 11*h*m**3 + 24*h*m - m**2 wrt m?\nAnswer: 96*h**2 + 60*h*m**2 - 66*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**2 - 13*s + 41. What is o(9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s + 4*o - 7*o - 2, 4*o + 21 = s. Let r = 8034 + -8030. Sort s, r, -1, -5 in descending order.\nAnswer: s, r, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**3 - 14*d**2 - 13*d + 7. Let x be f(15). Solve -5*g + 4*q = 0, g + 5*q + x = -2*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 96164399 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 10 = -4*j - 0*y, y = -3*j + 5. Suppose -2*a = -4 - j. Suppose 74 = 4*t + z, 3*t - 22 = 2*t - a*z. Is 8 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-36)\/192)\/((-26)\/104))\/(1*27\/(-204))?\nAnswer: -17\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 36 + -52. Let c = 8 + q. Let h = -2665 + 2668. Let n(k) = 2*k**2 + k + 2. Let y(x) = 5*x**2 + 2*x + 6. What is c*n(j) + h*y(j)?\nAnswer: -j**2 - 2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 816073429?\nAnswer: 103, 7923043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 9*u**3 + 3*u**2 + 8*u + 6. Let r(i) = -i**3 - i - 1. Let n(c) = -6*r(c) - t(c). Let x(v) = -v - 4. Let g be x(-2). Determine n(g).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -30303 + -112?\nAnswer: -31021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4 or 5822\/2093?\nAnswer: 5822\/2093","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 1120728?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -119, -362, -739, -1262, -1943, -2794, -3827?\n\"Answer: -2*r**3 - 55*r**2 - 64*r + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 2 = q. Let m be 4 - (-1)\/q*3. Suppose 0 = -m*w + w + 40. What is the greatest common divisor of w and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the first derivative of 7*q**6\/6 - 2*q**5\/5 - 7*q**4\/4 + 2*q**3\/3 - 66. Factor y(p).\nAnswer: p**2*(p - 1)*(p + 1)*(7*p - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -58 + 60. Suppose h*d - 41 = 5*i, 9*i - 15 = 12*i. Suppose 64749 = -d*z + 23149. Round z to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/3 - 1\/(6\/(-760)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**4 - 1312*t**3 - 286452*t**2 - 20719152*t + 21006918.\nAnswer: -2*(t - 1)*(t + 219)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-106)\/(-795)*6\/2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 62*s - 60*s. Suppose -6*m + 3*m = -216. Suppose m = 5*g - g. What is the smallest common multiple of g and s?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 85585?\nAnswer: 5, 17117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 (base 4) in base 8?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21 + 5 + a**2 + 16 + 79*a**3.\nAnswer: 79*a**3 + a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (-10)\/(-3) - (-8)\/8\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -1\/6, 0.5, -1\/13, -5, 21?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**3 + 14*n**2 + 15*n + 6. Give z(15).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7065613 - 8.\nAnswer: -7065621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v - v**2 - v)*(-18*v**3 + 2*v**3 - 18*v**3).\nAnswer: 34*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:56 PM and 4:32 PM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1111 + 2?\nAnswer: 1113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 919974, 920619, 921264, 921909, 922554, 923199?\nAnswer: 923844","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 bigger than 1008.886?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -95\/2 (b) 1\/4 (c) 6 (d) -3\/5 (e) -2 (f) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 + 14*c**4 - 22*c**2 + 8 - 10*c**5 + 26*c**3 - 16*c - 8 = 0 for c.\nAnswer: -1, 2\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 2*(3*sqrt(36)\/sqrt(2))**2.\nAnswer: 319","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2537.0727 + -2.9592.\nAnswer: -2540.0319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(132) + sqrt(132) + (-6*(sqrt(132)*-1 - sqrt(132)) - sqrt(132))))\/((4*sqrt(72)*2)\/sqrt(6)).\nAnswer: 39*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 122*g**2 + 2*g**3 - 240*g**2 + 6*g**3 + 117*g**2 - 25*g**4 as d*g + w*g**2 + a*g**4 + k*g**3 + l and give k.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 z, and 1 d when three letters picked without replacement from izqqzqzzqzzqdqq.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 250109 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -117 (base 9) to base 2.\nAnswer: -1100001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 + -2. Let j(h) = -2*h**2 - 10*h + 2. Let i be j(-5). What is the third derivative of -4*t**i + x*t**2 + 0*t**2 + t**4 wrt t?\nAnswer: 24*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*z - 576 = 216. What is the tens digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in -1\/13, 3\/5, -0.3, -29\/4, -1, -12.4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*n**4 + 379772*n**3 + 2*n**2 - 3383716*n?\nAnswer: 24*n**2 + 2278632*n + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 59230.08l?\nAnswer: 59230080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0, 152\/15, -1\/3, -4\/9, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 152.659 - -0.341. Let a = -99 + i. Let p = a - 54.00000028. Round p to 7 decimal places.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, -24, 577, -7 in decreasing order.\nAnswer: 577, 21, -7, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b - 26 = -3*z - 0*b, -4*b - 22 = -z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4806048448?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 8*i = -152. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -1. Let x(p) = -24*p**2 + 3. What is 5*w(d) + x(d)?\nAnswer: -24*d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 386.1989 weeks to hours.\nAnswer: 64881.4152","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -3*z - 922 + 8032, 3*z - 7114 = 2*v. Let d = 4317 + z. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 2*t = -428, 2*i - 5*t + 217 = -61. Let b = -62 - i. Is (b\/8)\/(7\/28) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 1245?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(637)*-2 - sqrt(637) - sqrt(637)) + sqrt(637) + 4 - (3 + (sqrt(637) - sqrt(637)*1))) + 1 + -3 + (sqrt(637)*-2 - sqrt(637))*4 + 1)**2.\nAnswer: 143325","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*h + 2 - 56 = 0. Suppose -91 = -h*s + 5. Calculate the remainder when (-21)\/(-49) + 431\/7 is divided by s.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -137836\/3815 + -7\/545. Let t(z) = -15293*z + 61136. Let r be t(4). Is p bigger than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 1)*(0 + 0 + 2*b) + (-3*b + 0*b - 12*b)*(0 + 4 - 1).\nAnswer: -41*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 50309 + -0.5\nAnswer: 50308.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1641*l + 1644*l - 5*h, l = 5*h for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01283 to four dps.\nAnswer: -0.0128","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2149*k**2 - 3905*k**2 + 2109*k**2.\nAnswer: 353*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(44) + -2*sqrt(1100))**2.\nAnswer: 3564","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5201638 a multiple of 308?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/(-3)*(-2 - -2). Suppose r*m - 15 = 5*m. Let u be (4\/6)\/(m\/9). Sort -0.1, u, 0.3 in increasing order.\nAnswer: u, -0.1, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -24? (a) -0.4 (b) 1\/8 (c) 3 (d) -0.08\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 30 = -n + 3*n, 2*n - 5*m - 70 = 0. Suppose 0 = 7*c + n - 32. Solve 6 = h + c for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4155687?\nAnswer: 3, 389, 1187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 114\/7*b + 2\/7*b**2 - 116\/7.\nAnswer: 2*(b - 1)*(b + 58)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01271 rounded to 4 decimal places?\nAnswer: 0.0127","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the first derivative of 4*z**5\/5 + 74*z**4 - 604*z**3\/3 + 152*z**2 - 1198. Factor s(v).\nAnswer: 4*v*(v - 1)**2*(v + 76)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k + 4*t - 48 = 0, 185*k = 182*k - 2*t + 30 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g = 3*l + 22, 2 = l - 5*g + 6 for l.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4682 or -4697?\nAnswer: -4697","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**3 - 4*g**2 - 5*g + 1. Let n be r(5). Let l = n + 3. Suppose 7*p + 37200 = l*p. Round p to the nearest one thousand.\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.08 - -0.42. Round k to 0 decimal places.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 294100665 to the nearest 1000000.\nAnswer: 294000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17816, 35928, 54034, 72134, 90228?\nAnswer: 108316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20114*s + 8325*s - 13179*s to f + w*s and give w.\nAnswer: -24968","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -3*h**2. Let x(k) = -k - 1. Let j be ((-1)\/(-3))\/(1\/(18 + 0)). Let v(o) = -6. Let i(p) = j*x(p) - v(p). Give u(i(y)).\nAnswer: -108*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in -0.1, 2\/63, -53, 4, -6, -1.1?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 take away -26?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(4\/7))**20)**(22\/5) assuming s is positive.\nAnswer: s**(352\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -37\/72 - 115\/144. Let u = 745\/592 + w. Let d be (-2)\/((-1 - -1) + 2). Is d bigger than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q + 8*q = -4. Let u be 36\/198 + (-48)\/22 - q. Solve -21 = -0*g - 4*g - 3*o, 5*g = -u*o + 21 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mojmoeooqqocm. What is prob of sequence emjq?\nAnswer: 1\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -2*k + 322, 2*k + 1 + 92 = 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 c = -4806 - -4751. Suppose 33 - 9 = 4*t. Is t\/10 - 10912\/c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1271, -1821, -2133, -2207?\nAnswer: -2043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -2844408\/61 < -46630?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*p**2 + 348*p + 712.\nAnswer: -4*(p - 89)*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 179*h - 586872 = 30*h - 148*h. Does 26 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9634 + 1.\nAnswer: 9635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 1\/9 (b) 9 (c) 1\/5 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -27, -12\/23, 4\/3, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-171843)\/7014*4\/(-14)*3?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1940, 1925, 1910, 1895, 1880?\nAnswer: 1865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2198*t**4 + t + t**3 + 2233*t**4 - 7*t - 1 - 4470*t**4 + t**2 to the form p*t**3 + h + n*t**4 + j*t + m*t**2 and give j.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a day in minutes?\nAnswer: 540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 68*y - 1. Suppose p + 5 = 3*v, 2*p = -3*v + 4*p + 1. Is f(v) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62792878579 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -3*o**2 + 16*o + 7. Let x(n) be the third derivative of n**5\/60 - 5*n**4\/24 - n**3\/3 + 232*n**2 - 7. Determine -2*r(a) - 7*x(a).\nAnswer: -a**2 + 3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*43831.8.\nAnswer: 131495.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 69*r**2 - 14*r + 11*r - 34*r**2 - 2 - 39*r**2 as p*r + w + d*r**2 and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6*(-2)\/(-4 - 0). Let f(n) = -12*n**2 - 8*n + 32. Let r(x) = -4*x**2 - 3*x + 11. Let c(p) = y*f(p) - 8*r(p). What is the derivative of c(i) wrt i?\nAnswer: -8*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*y**2 + 206670*y - 2135624445 = 0. What is y?\nAnswer: 20667","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffbsslsptlbs. Give prob of sequence fl.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2939*v - 5910*v - 19*v**2 + 2934*v.\nAnswer: -19*v**2 - 37*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(5 + (2*sqrt(245) - sqrt(245)) + -2).\nAnswer: -14*sqrt(5) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31369548.\nAnswer: 2, 3, 7, 373447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 341 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1357305 is divided by 148.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k + 3*v = -15, -k + 20*v = 22*v + 10 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a litre in millilitres?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f - 7. Calculate s(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 333 + 64*d - 422*d - 326 to the form a*d + c and give c.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4440142?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 17 + 30. What is the tens digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/2011 (b) 3\/5 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*g - 14*g + 3830416 = 4*p, -2*g - 3*p - 3830388 = 0. Round g to the nearest 10000.\nAnswer: -1920000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8 - -4. Let l = 10 + k. Calculate the highest common divisor of l and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 162377944 to the power of 1\/2, to the nearest integer?\nAnswer: 12743","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sum 4 and -646.\nAnswer: -642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, v: 6, w: 3, p: 1, h: 2, b: 1}. Give prob of picking 1 w and 1 v.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-6)\/27)\/(3\/18) - -3. Let t(o) be the first derivative of -5*o - 5\/2*o**2 - v*o**3 - 1\/4*o**4 + 3. Calculate t(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - 2*m + 14 = 0. Suppose -3*b + m = 2*j + 1, j - 5*b = 29. What is the remainder when 24 is divided by j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -909c (base 13) in base 7?\nAnswer: -112011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 14 in -1\/7, -4, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -4*m + 3. Let n be g(0). Suppose 6 - n = l. Factor -4\/5*r - 2*r**2 + 0 - 8\/5*r**l - 2\/5*r**4.\nAnswer: -2*r*(r + 1)**2*(r + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes before 2:10 AM?\nAnswer: 4:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-37248)\/(-4) + (33 + 3)\/(-9).\nAnswer: 2, 13, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 180 and 20?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*z + 13 = -3*z + 5*r, -2*r + 8 = 3*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26667*x**3 - 10*x**2 + 10*x**2 - 46417*x**3.\nAnswer: -73084*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3427873 is divided by 4406?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*o - 28*o + 36 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7358 is divided by 127.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 3*v**2 + 61*v + 116. Let x be t(-2). Let z(j) = j**3 - 5*j**2 - 9. Calculate z(x).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 1 - 1 = l, -4*z = -4*l - 8. Suppose 0 = 3*s - 2*r - 26, 2*s - s - 5*r - 26 = z. Calculate the remainder when 12 is divided by s\/27 - (-122)\/18.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11406 + -17255. Let h be s\/(-6) - 3\/(-18). Let j = h + 36. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, y: 3, z: 7}. Give prob of picking 1 i and 1 z.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/13 (b) -2\/53 (c) -5 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from {k: 2, u: 1, c: 1, p: 1, q: 1, m: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2500196.\nAnswer: 2, 173, 3613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(10)\/(sqrt(30)\/(5*sqrt(6))) + 2*(sqrt(200) + 2).\nAnswer: 4 + 25*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.049 times -32.1461\nAnswer: 1.5751589","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the third derivative of -k**5\/60 - k**4\/3 + 8*k**3\/3 + 6*k**2 + 5. Let v be b(-10). Let u(o) = -6*o - 5. What is u(v)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 2*h**2\/3 + 18*h\/5 + 4\/3 = 0.\nAnswer: -5, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 414?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 465, 642, 819, 996, 1173?\n\"Answer: 177*h + 288","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3412 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h - 34 = -9*z, -758*h + z - 14 = -756*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 618*m = 3*x + 623*m - 9, -3*x + 3*m = 15. Which is greater: x or -3\/67?\nAnswer: -3\/67","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 24 = 4*r. Calculate the remainder when 94 is divided by r.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 10024, 10016, 10004, 9988?\n\"Answer: -2*q**2 - 2*q + 10028","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h when three letters picked without replacement from {t: 8, h: 5, w: 7}?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1573)*3*1 - (-3 + sqrt(1573))*-6.\nAnswer: -18 + 99*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the third derivative of -s**7\/1050 - s**6\/200 - s**5\/150 - 12*s**2. Factor x(y).\nAnswer: -y**2*(y + 1)*(y + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 459.099, 1 in increasing order.\nAnswer: 0.3, 1, 459.099","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - o = 12. Let v(j) = j**3 + 8*j**2 + 4*j - 4. Let p be v(o). What is the greatest common factor of 4 and p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 + 25 - (1 + -6) - 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j**(-2\/23)\/j))\/j**12*j*j**7*j**(-8\/3)\/j*j assuming j is positive.\nAnswer: j**(-316\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -455*z = -400*z - 1925 for z.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 750 + -750.1054. Let g = a + 0.1053533. What is g rounded to five dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**3\/9 - 4*u**2\/9.\nAnswer: 2*u**2*(u - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 0*o - 8*o**2 - o + o. Let n(h) = 14*h**2 + 17*h**2 - 41*h**2 + 6*h**2. Calculate j(n(l)).\nAnswer: -128*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*c**3 - 4*c**2 + c**3 + 5*c**2)*(1 - 1 - c).\nAnswer: -6*c**4 - c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4298225?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2*4*4\/2. Let v(t) = -10*t**2 - 16*t + 6. Let h(c) = -2*c**2 - 3*c + 1. Suppose -60 = 31*o + 33. Calculate o*v(n) + w*h(n).\nAnswer: -2*n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24 - 8 - 1221*l + 14 - 8.\nAnswer: -1221*l + 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10776 - r - r + 10776.\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 37*87\/1073*-10?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**3 + a**2 + a - 5. Suppose 62*f = 59*f. Determine u(f).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/167 and 47\/3006.\nAnswer: 3006","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -119*(-159)\/7208*5\/(5\/8).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 166000 divided by 16600?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 8 = -5*h + 6, d = -4*h + 18. Suppose h*r = -u + 4, -3*u + 13 = 3*r - 17. Suppose 0*a + 2*a - u = 0. What are the prime factors of a?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/2*8\/(-10)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 2 (b) 3 (c) -5 (d) -91.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 271003 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 5*56000.5\nAnswer: 280002.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -197*y + 2298 + 204*y - 2*y**5 - 2284 - 2*y**4 + 7*y**3 - 3*y**2 wrt y.\nAnswer: -120*y**2 - 48*y + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.7 - -0.3. Which is the closest to 1? (a) x (b) 2 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-8) - (-124)\/(-16). Let d = 22 - t. Let i = -8 + d. Calculate the remainder when 64 is divided by i.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4\/9, -26, 5, -1, 1\/8, -0.035, -0.5?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 12*y**2. Let q(w) = -15*w**2 + 5*w**2 + 7*w**2. Give v(q(a)).\nAnswer: 108*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -8060\/9, 2\/11, -3 in decreasing order.\nAnswer: 0.4, 2\/11, -3, -8060\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -5*n**3 - 64*n**2 - 119*n - 16. Give l(-10).\nAnswer: -226","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8954.78 - 7.22. Let k = -9001.87 - z. What is k rounded to the nearest 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2498 - 2501 + 30*t**2 - 1316 + 6315 + 15*t**2.\nAnswer: 45*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -405442*f**4 - 321987 wrt f?\nAnswer: -1621768*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 3*y**2 + 9*y - 6. Let b be (24\/(-10))\/((-7)\/35). Suppose 8*c - b = 10*c. Let g(h) = 1. Let l(p) = c*g(p) - t(p). Determine s so that l(s) = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + -4 + (-7 + -2 - -3)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -592106*u - 649748 wrt u?\nAnswer: -592106","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(3) + sqrt(12) + 3 + 0 + sqrt(18)\/sqrt(6) + (1*sqrt(3024) - sqrt(3024))\/(6*sqrt(28)\/sqrt(4)).\nAnswer: 3 + 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*z**3 + 2*z**3 - z**4 + ((-2 + 2 + 7)*(z + 3 - 3) - 41*z - 83*z - 22*z)*(3*z**3 + 4*z**3 - 3*z**3) to c + x*z**3 + n*z**2 + g*z + t*z**4 and give t.\nAnswer: -557","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1*9\/3 + 1. Suppose 0 = v - 2, 3781 = w*s - 3*v - 6225. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 76428 and 612?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1434 (base 10) in base 14?\nAnswer: -746","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 16713\/1330 + -1182\/95. What is the common denominator of -79\/1064 and q?\nAnswer: 1064","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 15*z**2 - 3*z - 3. Let y(j) = -16*j**2 + 4*j + 4. Let q(l) = 5*a(l) + 4*y(l). List the prime factors of q(-2).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/(-3) + (-80)\/(-15). Suppose -3*g + r*c = -0*c - 130, 0 = 2*g + 3*c - 93. Let x = 82 - g. Does 13 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*z = -42*z + 104*z - 180 for z.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1cc63 (base 14) in base 2?\nAnswer: 10010000000110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0003242136076 to 6 dps.\nAnswer: 0.000324","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -113 - -113. Solve r = -4*w - 4*i, -i = 5*w - 16 + 4 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the first derivative of 0 - 26 - 10*k**2 + 4*k**2. Give j(-1).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 0*z = -5*p - 395, -20 = 4*z. Let o = p + 83. Let q(y) = -10*y - 2*y + o*y - 5*y. Let a(m) = 2*m**2. What is a(q(l))?\nAnswer: 392*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(245) + -2)*6 - sqrt(245))**2*-3.\nAnswer: -15120*sqrt(5) + 112842","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 331?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = -30, -3*q + 43*l + 11304 = 25*l. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20849 is divided by 5209?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 134, 519, 1168, 2087, 3282, 4759, 6524, 8583?\nAnswer: 10942","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 2*k + 2*f, 6*f - 2*f - 4 = 3*k. Suppose 0 = -3*d - k*d + 14. Solve d*h = h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dfbdd. What is prob of sequence fbd?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 3013746 to the nearest one thousand.\nAnswer: 3014000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-29)\/(-58) - (1\/5 - 510\/(-200)).\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*q + 3*g - 54 = 0, 1649*g - 1646*g = -12 for q.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l - 6 - 2. Suppose 2*j - 132 = -31*j. Suppose -o = j*o - 5*r - 145, 0 = 2*r + l. What are the prime factors of o?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the third derivative of -p**6\/360 - 3*p**5\/20 - 4*p**4\/3 - 46*p**3\/9 + 1766*p**2. Factor r(u).\nAnswer: -(u + 2)**2*(u + 23)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**3 + 5*c**2 - c - 2. Let p be a(-5). Suppose p*z - 1 - 5 = 0. Suppose -3*k + 3 + z = -4*v, v - 1 = 3*k. Which is bigger: v or -5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1212613 is divided by 251.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -529418, -1058833, -1588248?\n\"Answer: -529415*t - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**3 - 12*n**2 - 12*n - 8. Let r be x(13). Solve r*f + 3 = 2*i - 0, 2*f = 4*i + 2 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.4 - -0.3. Let p be (-122)\/(-4)*2\/140. Let u = 1\/28 - p. Which is smaller: u or g?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8.1 + 0.1. Let f = 146.84 + -151. Let m = 1.16 + f. What is the biggest value in -1\/4, m, r?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n + 3*f - 918, -4*n + 5*f - f = -760. What are the prime factors of n?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 4*b - 5. Let u = -174 - -178. Let n be (16\/(-12)*6)\/(6 - u). Give k(n).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8360 and 1019690.\nAnswer: 852460840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 88 = 17. Suppose -3*q = 2*o - 321, o = 3*q + z + 139. Suppose 4*v + 3*a + 37 - o = 0, 3*v + 5*a = 96. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 446 by 30409.\nAnswer: 446\/30409","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 32 and 20992260.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from khvhxvqihhkivv. Give prob of sequence xqi.\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5237 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 18*z + 67 - 124 - 141 for z.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 30*t + 272. Let v be q(-9). Let o(b) = 5*b**3 + 4*b + 3. Let c(w) = -4*w**3 - 3*w - 2. Determine v*o(p) + 3*c(p).\nAnswer: -2*p**3 - p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49 = -0*z + 3*z - 4*l, -2*z + 27 = 3*l. Let q be 2\/6 + 392\/12. Let v = 39 - q. Solve -v*j = -j + z for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11106292?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 150 and 14214.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -1\/2, -1, 6.9?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(36)\/(sqrt(60)\/sqrt(5)) + -3*sqrt(18)\/(sqrt(6) - sqrt(24) - sqrt(6)).\nAnswer: 7*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, -0.46, 2\/9, 1\/3, 77.5, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(104)\/(1*sqrt(2)))\/(3*sqrt(100) - sqrt(4)))*3.\nAnswer: 3*sqrt(13)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1 - -5)\/2 + 31\/1. Let o be 9\/(-21) - (c\/(-14) + 2). Suppose -4*w - 5*k = -4, 4*w + w - 4*k - 5 = 0. Solve o*j = -j + w for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2898.13*5\nAnswer: 14490.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 63c57 (base 13) to base 12.\nAnswer: 88249","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 742?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + q = 4*q + 12, 3*j = -2*q + 12. Which is the nearest to -2? (a) 0 (b) j (c) 2\/27\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/10*160\/60.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 315, 1, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -12965.4 - -57555.\nAnswer: 44589.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 86961?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -299*f**2 + 471*f**2 - 178*f**2.\nAnswer: -6*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - 160 = -9*m, 5*m + 13*r = 15*r + 110 for m.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 2*h - 11. Let u be f(-15). Let m = 1 - 7. Let x = m - u. What are the prime factors of x?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**3 - 16*j**2 - 17*j - 11. Determine g(17).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 4*v + 2 = 0, 0*v - 1 = -5*c + 4*v. Solve j - c = -4 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-108)\/14 - (-12887 + 12881).\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/9 (b) -2 (c) 0.066\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -28 divided by 3\nAnswer: -28\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - r + 0)*(12*r - 80 + 80)*(0 - 3 + 5) + 0*r**2 + 0*r**2 + 2*r**2.\nAnswer: -22*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -2 - (40 + -2) - (-294 - (-124 - 174))?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -173, -52, 47, 112, 131, 92?\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -159*z + 6*z**2 + 159*z + (4 + 0 - 2)*(-57*z**2 + 1378*z - 1378*z).\nAnswer: -108*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/225 and 86\/675.\nAnswer: 675","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -2260*z**2. Let v(k) = 21555*k**2. Determine v(a(p)).\nAnswer: 110094318000*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -4*s**3 + 482*s**2 - 487*s**2 - 5*s**3 + 5 + 2*s**3. Let r(f) = 8*f**3 + 6*f**2 - 6. Give 5*r(o) + 6*t(o).\nAnswer: -2*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2590 + 301981*i - 2590 + 73584*i.\nAnswer: 375565*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -254, 6, -1\/6, 5?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 196775 is divided by 1593?\nAnswer: 836","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 470914579 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 14\/(-21)*(-6)\/(-14). What is the second biggest value in x, 3, 9.8?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 225217\/26 - 8661. Calculate the common denominator of b and (-15)\/(-270) + 3\/1.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - b - 7 = -2, 5*b + 25 = 0. Solve x = 5*q - 3 - 22 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -680 (b) -0.2 (c) 0.96\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that 4*k**2 - 1135452*k + 2270888 = 0.\nAnswer: 2, 283861","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 84 + 0?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*h + 20*h + 9*h.\nAnswer: 18*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 1 e when three letters picked without replacement from nngiioninnnnionne.\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 467 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - (-9 - -10)) + -20 + 3?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(243)\/(sqrt(27)\/sqrt(3)))\/(-4*sqrt(9)*-1).\nAnswer: sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -2*r**2 - r + 14. Let m be z(0). Solve -2*o + 1 = 5*g + 3, -5*o = 3*g - m for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 + -7.3. Let y be 57\/(3 + 65\/(-20) - -1). Let h = y - 81. What is the biggest value in -0.5, x, h?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 824?\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the first derivative of -21*v**2\/2 + v + 188. Suppose l = 5*j + 11, 3*j = -j - l - 7. Let z(f) = -10 + 15 - 5 - 4*f. What is j*q(w) + 11*z(w)?\nAnswer: -2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from grdwhmwr. What is prob of picking 1 h and 1 w?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 4 (b) 21 (c) -16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 180\/135*5\/(-10)*204\/8\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2030 + 1?\nAnswer: -2023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 19 + -17. Suppose -u*i = 4*c - 7 - 1, -2*i = 3*c - 4. Suppose c*a + 2*p - 284 = -20, 3*p = -a + 71. What are the prime factors of a?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 481, 479, 475, 469, 461, 451?\n\"Answer: -g**2 + g + 481","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4273 is divided by 231?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9014*p**2 - 43*p + 93 wrt p?\nAnswer: -18028","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lbljojjjzoljjll. Give prob of picking 2 j.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 69\/7, 1\/12, -1\/4, 1, -1\/7 in increasing order.\nAnswer: -1\/4, -1\/7, 1\/12, 1, 69\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 + 110101011?\nAnswer: 110100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*-1*(-60)\/(-20).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -31 - -110. Is 17 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*y - 7*y = -40. Let u = -71 + 72. Solve u = -p + y for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 234043 (base 5) in base 12?\nAnswer: 5008","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 573, 33 in increasing order.\nAnswer: 1, 33, 573","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22122100 (base 3) to base 7.\nAnswer: 24240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 m when three letters picked without replacement from {x: 5, m: 11}?\nAnswer: 33\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6861 + 6860. Let d(u) = u**3 - u - 1. Let f(k) = 85*k**3 - 51*k - 51. What is o*f(v) + 51*d(v)?\nAnswer: -34*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes after 9:23 PM?\nAnswer: 9:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 - 3. Suppose 3*r = 4*r - z. Let q(y) = -1 + 2*y**2 - 4*y + 6 - 2 - y**3. What is q(r)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.18724 from 0.16984.\nAnswer: -0.0174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -53665*q - 109055. Determine y(-2).\nAnswer: -1725","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 117666, 235301, 352936, 470571, 588206?\nAnswer: 705841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11 + 20. Suppose -2*u + j - 3 = 0. Let z = 30 - u. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-184 + 311 - 268)*(4*p - 2*p - 4*p).\nAnswer: 282*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 3*v + 4*p, -3*v + 2*p - 30 + 14 = 0. Sort 8, v, 1, -5 in ascending order.\nAnswer: -5, v, 1, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 1830?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-3) + (-8)\/(-30). Let o be (-4)\/(-14) - (-1 - -1). Let y be 28\/(-66) - 1\/(-3). What is the closest to j in o, 0, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrlllrhlhhmhmnlhln. Give prob of picking 1 h and 3 r.\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 0*c + 5*c - 3*c. Let t(g) = -5*g**2 + g**2 - 1119 + 1019 + 2*g**2 + 3*g**2 - 2*g**2. What is n(t(y))?\nAnswer: -2*y**2 - 200","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*h*q*x**5 + 2*h*q*x**2 + 1486*h*q*x - 114274*h*x**3 - 3*h*x + 5 wrt x?\nAnswer: -240*h*q*x**2 - 685644*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(4) - sqrt(28)\/sqrt(63))*2)\/(sqrt(16)\/((-1*sqrt(80))\/sqrt(10))).\nAnswer: -3 - 4*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 2*d + 4. Let j be 1*(-2 - -1)*5. Let x be u(j). Let a be (x\/10)\/((-1)\/5). Solve a*t - 2*t = -4*v - 18, 5*t + v = 5 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 64057, 130144, 196231?\nAnswer: 262318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 985767773 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 318 = 2*b, 2*b - 29 = 5*w + 297. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2435451 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -23 - -18 - ((14 - (-4 + 12)) + 24)\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-3\/7)\/a**(-41))\/(a*a**(2\/55)*a**(1\/20)\/a) assuming a is positive.\nAnswer: a**(62347\/1540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(3*(0 + sqrt(605))**2 - (sqrt(605) + (sqrt(605) - (sqrt(605) - (sqrt(605) + 0))**2*5))).\nAnswer: -3630 + 44*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + 26 - 6 = 3*l, l - 20 = 3*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5694 is divided by 20.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1544*i**5 - 442*i**4 + 59*i**3 + 130857002*i**2 wrt i.\nAnswer: 92640*i**2 - 10608*i + 354","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:14 PM and 2:04 AM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0 - (-3 + 2))*-21. Let a = c + 37. Suppose 0*d = d - a. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v = 4*v. Calculate the common denominator of 55\/8 and v + (-4)\/(-8) - 48.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*z + 1862 - 57410. Is 2 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 154940 is divided by 480.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -240 plus 0.22697429842?\nAnswer: -239.77302570158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 1 v when three letters picked without replacement from {x: 4, v: 1, p: 2, y: 2}.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 5433397 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 946 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**3 - l**2 - 1809*l - 9077. Calculate n(-5).\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 76 and 817?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 318?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5024*n - 4872*n = -7296 for n.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 3, j: 2, t: 1, w: 10}. What is prob of sequence wwiw?\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00728402968 to five dps.\nAnswer: -0.00728","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.41 times -1327?\nAnswer: -4525.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 128390676.\nAnswer: 2, 3, 19, 563117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 5*u - 19. Let l(w) = -2*w - 6. Let x be l(-5). Let z = x - 2. Put z, u, 5 in decreasing order.\nAnswer: 5, u, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -80d (base 14) in base 9?\nAnswer: -2146","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6199663 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 29315 bigger than 1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**2 + 6*y + 9. Let j be r(7). Suppose -2 = -5*i + j*h, 2*h - 1 = 2*i + 3. Suppose i*s = -0*s + 6. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3662*k**2 - 4158*k.\nAnswer: -7324","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kusvfgfu. Give prob of sequence kuvu.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 - 4) + (-12)\/(-2). Factor 0*l - 5*l**3 + 1 + f*l**3 - 4*l + 0*l**3 + 5*l**2.\nAnswer: -(l - 1)**2*(2*l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(50)*1 + (sqrt(8) + -1)**2.\nAnswer: sqrt(2) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 33899 or 33913?\nAnswer: 33913","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 908 divide 25959720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 2*t = 0, 0*t = -2*d - t. Which is the nearest to d? (a) 2\/7 (b) 4 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the first derivative of -1\/6*f**3 + 0*f**2 + 4*f + 2. Let p(o) be the first derivative of b(o). Let n(w) = 7*w**2. Give n(p(r)).\nAnswer: 7*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 23*m**2 + 4*m - 46. Calculate the remainder when 16683 is divided by o(2).\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 288078 and 3378?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is da3 - 4?\nAnswer: d9e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -13*q + 4. Let w be b(0). Suppose -w*o - 5540 = -5*u + o, 3*o = -3. What is the highest common divisor of u and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -155992459 divided by 73.\nAnswer: -2136883","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z - 6. Let a be (((-72)\/21)\/(-2))\/((-42)\/(-735)). Suppose -a = -5*w + 5*j, -w + 12 = w - j. Let x(d) = 1. Determine w*x(y) + n(y).\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10 + -7. Suppose -225*a + 227*a = 10. Suppose -4*d = -a*y + 116, 0 = -0*y - 2*y + w*d + 52. Calculate the highest common factor of y and 220.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 2*w**3 + 194*w**2 + 187*w - 505. Calculate t(-96).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**3 - b**2 + 4*b. Let f(d) = -17*d**3 + 8*d**2 + 46*d - 6. What is -f(j) + 11*v(j)?\nAnswer: 6*j**3 - 19*j**2 - 2*j + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 3*p - 0*m - 81, 4*p - 107 = 5*m. What is the remainder when p is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -32, 1, 3 in increasing order.\nAnswer: -32, -3, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 74906498 to the nearest integer?\nAnswer: 8655","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 31546*x**4 - 2887*x**2 + 4*x + 2?\nAnswer: 757104*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -645, -814, -993, -1188, -1405, -1650, -1929, -2248?\nAnswer: -2613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 2\/15, -0.3, 2\/895, -1\/2, 5, -181, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -5, -4, 4, 222, 3 in increasing order.\nAnswer: -5, -4, 2, 3, 4, 222","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*l = 5 - 59. Let s be 11\/(-33) + 152\/l. What is the third biggest value in s, -0.1, 2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 0, 6, 18, 36, 60, 90?\nAnswer: 126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/13 in 2\/7, 1\/3, 0.051, -2.58?\nAnswer: 0.051","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a kilometer in centimeters?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 59*t + 26. Let s(a) = 29*a + 13. Calculate 4*g(m) - 7*s(m).\nAnswer: 33*m + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 89 divide 80161601?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is (-13882)\/(-8) - (-3)\/(-12) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/(-165))\/(27\/8505*-21*(-2)\/(-1)).\nAnswer: -5\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 3*n**3 + n + 1. Let k(q) = -q**3 - 5*q**2 - q - 5. Let g be k(-5). Suppose g = 2*c + c - 6. Suppose 3*j + c*j = 25, -5*j + 28 = -3*a. Determine p(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 3*n**2 + 2*n - 5. Suppose 64 = 4*j - 8. Calculate the remainder when z(4) is divided by j.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z + 0 + 43*z**2 + 11\/4*z**4 + 101\/4*z**3 = 0. What is z?\nAnswer: -7, -2, -2\/11, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 289419 != 289249?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -4*u + 5*u. Is u - 105\/(-33) - 1230\/(-11) a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - o + 40 = o, -3*t = -3*o - 72. Let c(v) be the first derivative of 40*v**2 - 14 + 2*v + 20*v - t*v. Let l(b) = -b. Determine c(l(i)).\nAnswer: -80*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate s**2 + 153649*s + 11989633 wrt s.\nAnswer: 2*s + 153649","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 374 and 269434?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -418, -3, 0, 3, -2 in ascending order.\nAnswer: -418, -3, -2, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 101741 = -2*d - 68539, 2*k + 2*d + 113520 = 0. What is k rounded to the nearest 10000?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -182400 or -182396?\nAnswer: -182396","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 64838 and 35866856?\nAnswer: 3814","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes before 6:31 PM?\nAnswer: 12:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -148.1123 * -0.04.\nAnswer: 5.924492","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3145?\nAnswer: 5, 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*i + 82 = 46. What is the closest to -1\/5 in -1, i, -44, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h*(h\/(h*h*((h\/((h\/h**(2\/23))\/h))\/h*h)\/h*h))\/h)**(-41)*(h\/(h*h**(-4\/7)\/h)*h)\/((h**(-1\/2)\/h)\/h*h) assuming h is positive.\nAnswer: h**(15661\/322)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3177*t - 3821*t - 66*t - 8374*t)*(0*t - 2 + 2*t**2 + 0*t).\nAnswer: -30876*t**3 + 30876*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.371 - 46.629. Which is the closest to -0.1? (a) 2 (b) t (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/3*(-54)\/8*232\/(-522)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 24*x**2 + 33*x**2 + 18*x**2 to the form c + g*x + s*x**2 and give s.\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 597504 is divided by 595938.\nAnswer: 1566","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, r: 1, x: 1, j: 2}. What is prob of sequence yjj?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 11*g + 44. Let y(f) = -5*f - 22. Give 3*d(o) + 7*y(o).\nAnswer: -2*o - 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w**(-2\/7)*w))**(2\/63)*w*w**7*w*w\/((w\/w**(2\/11))\/w)*(w**2\/(w*w*w*w**6))\/(w*(w**(-1\/2)*w)\/w*w**(-2\/5)) assuming w is positive.\nAnswer: w**(149939\/48510)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w + 3. Let s be r(1). What is the derivative of -6 + 1 + 2*k**3 + k**3 - s wrt k?\nAnswer: 9*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1106?\nAnswer: 2, 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1785019210 by -21000226.\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 18\/5 of a millimeter?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3 - (16 + -7) - 483. Let z = q + 489. Factor -3\/5*p**3 - 3\/5*p**2 + 6\/5*p + z.\nAnswer: -3*p*(p - 1)*(p + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -74 - -52. Let r = -17 - t. Let z(p) = -p**3 + 7*p**2 - 7*p + 2. Let f be z(6). Sort f, r, 3.\nAnswer: f, 3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, u: 9}. Give prob of sequence guu.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**2 + 6*j - 20. Let d be k(-15). Suppose -7 = 4*l - d. What are the prime factors of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-4))\/((392\/(-1470))\/(11\/(-55)))?\nAnswer: 9\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 213484?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 195?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes after 1:59 AM?\nAnswer: 3:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -16 + -131205402?\nAnswer: -131205421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 884 is divided by 147?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes before 5:12 PM?\nAnswer: 11:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - 25 - -26 - (8 - 1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 3*5*4*(1*(sqrt(99) + (-3*sqrt(99))**2) + 1 + -3 + sqrt(99)).\nAnswer: 360*sqrt(11) + 53337","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 2 w when four letters picked without replacement from {g: 4, w: 7}?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23054.\nAnswer: 2, 11527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the third derivative of 7*k**2 + 0*k + k**3 + 1\/60*k**5 + 0 + 5\/24*k**4. Let t be s(-3). Solve t*h = 2*h + 2 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/3*2)\/((-975)\/195*4\/15)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 1528514?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 + -1. Suppose y + 2 = -x, -v*y - 4*x - 22 = -8. Let m(b) = b**2 + 5*b - 3. Let n be m(y). Solve n*t - t = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 5*s = -y - 45, -25 = -y + 3*s. Let w(d) = y*d + 257 - 3*d - 250. Let z(x) = -4*x - 4. Determine 3*w(i) + 5*z(i).\nAnswer: i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1404499*t - 702247*t - 702257*t.\nAnswer: -5*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4.9 + -0.1. Let w = -0.3 - -0.6. Let b be 36\/3*3\/42. What is the biggest value in f, w, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2412781?\nAnswer: 7, 344683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -32 - h + 36 + 15 + (0*h + 5*h - 3*h)*(-3 + 2 + 0) - 4*h - h + 4*h - h - 4 + 4 - 2*h + 2*h - 2*h to the form g*h + q and give q.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -88, 2, -8, -18511 in decreasing order.\nAnswer: 2, -3, -8, -88, -18511","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*v - 2*v - 2*v)*(38*v**3 - 38*v**3 - 15*v**4) + (4*v**4 - 5*v**4 - v**4)*(2 - 2*v + 2 - 8).\nAnswer: -11*v**5 + 8*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2404 and 100367?\nAnswer: 601","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/(2\/(-6 + -2)). Let i = -54 + 59. Suppose i*u = -u. Solve -m + 26 = 5*w - u*w, 2*m = -z*w + 22 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:18 PM and 5:18 PM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1752*a**5 - 3*a**3 - 2*a**2 - 2409*a?\nAnswer: 35040*a**3 - 18*a - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -37366 (base 16) to base 4.\nAnswer: -313031212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 290 and 18842.\nAnswer: 2732090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 97 - 37086*i**3 + 37083*i**3 + 305*i - 305*i - 97.\nAnswer: -3*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 392608, 392602, 392596, 392590?\nAnswer: 392584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -9*x + 7. Suppose -77*g + 78*g - 5 = -l, -4*g + 5*l + 11 = 0. Give r(g).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**2 + 7*i + 6. Let z be h(7). Find the third derivative of -3*g**6 - 6*g**2 + 8*g**z + 7*g**6 wrt g.\nAnswer: 1440*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -32*t + 6. Let h be a(-6). Suppose 0 = 4*b - 135 - 269. Let k = h - b. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 291173989?\nAnswer: 109, 1031, 2591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**3 - 10*c**2 - 14*c + 13. Suppose -3*z = -56 + 20. Is j(z) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**3 - o**2 - 6*o - 8. Let y be a(4). Is 43 a factor of (-86)\/(y\/(-88)*1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 - -5. Let h(c) = -4*c**3 - 3 - 5*c**2 - 2*c + 7 + 5*c**r. Give h(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61 + 5723*a + 3*a**2 - 11444*a + 5721*a.\nAnswer: 3*a**2 + 61","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 149 is divided by 14?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -8*j**2 + 0*j - 5 + 1 + 4*j. Let g(r) = -7*r**2 + 3*r - 3. Let b(a) = 4*g(a) - 3*m(a). Let y(o) = -10 + 18 - 8 + 2*o**2. What is b(y(d))?\nAnswer: -16*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24)\/(-56)*24087\/(-279).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -114 (b) 2\/11 (c) 7 (d) -0.021 (e) -7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -15*h**2*j**2*x - h**2*j*x**2 - h**2*x**2 - 3*h**2*x - 2*h*j**3*x**2 - j**3*x wrt x.\nAnswer: -2*h**2*j - 2*h**2 - 4*h*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -51391, -51403, -51427, -51469, -51535, -51631, -51763?\n\"Answer: -j**3 - 5*j - 51385","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/(5265\/369) - 14\/((-490)\/(-21))?\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 14*j + 1. Let h(p) = 2*p**2 - 71*p - 8. Let o(s) = -5*f(s) - h(s). Let y(l) = l**2 + 3. Let i be y(0). Determine o(i).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*u + 4*z + 11 = -u, 6 = -3*z for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -143752 from -51.\nAnswer: 143701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3550 - -3556. Solve 6*y = 4*y - d for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 46 and 529.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((sqrt(56) + sqrt(5600)*-2)\/sqrt(8) + -1 - (sqrt(315)*-3)\/((sqrt(605) - (sqrt(605) + sqrt(605)*1)) + sqrt(605) - sqrt(5)))**2.\nAnswer: 56*sqrt(7) + 5485","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20 - 1) + (84 + -4 - 71).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m - 16. Let p(s) = s + 1. Let j(d) = -a(d) + 2*p(d). What is the tens digit of j(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8917 take away 2425905?\nAnswer: -2434822","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -5.6 * 50551\nAnswer: -283085.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w + 6. Let t be z(-6). Let l = t + -6. Let p = -3 - l. Is p even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8390 - 8139. Which is greater: r or 262?\nAnswer: 262","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the first derivative of -113*a**5 - a**3\/3 - 4595*a - 1620. Find the first derivative of g(q) wrt q.\nAnswer: -2260*q**3 - 2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-78)\/(-18) + (-1)\/3. Which is the nearest to -1\/3? (a) -7\/3 (b) m (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 g when two letters picked without replacement from {a: 1, q: 3, g: 4, u: 1}.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*j**3 + 552*j**2 - 3321 with respect to j.\nAnswer: -9*j**2 + 1104*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/6 + 34\/51?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 569, 4465, 15007, 35513, 69301?\nAnswer: 119689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -177 + 37 = -s. Let g = s - 94. Calculate the remainder when g is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 3*k - 19. Let h be d(8). Solve 12 = -2*z - 2*q, q + h = -0*q for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 6*g - 8. Let k(u) = u**2 - u + 5. Let c be k(0). Suppose 10*j**3 + 8*j**2 - j + c*j - 5*j**3 + j**g = 0. What is j?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 24 + -22. Let n(c) = -2*c. Let t be n(1). Let u be 2 - (16\/(-1) - t). Calculate the highest common divisor of u and f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 243408728?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 30885 - 25438. What is the greatest common divisor of 78 and c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3132990487 a multiple of 97?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79*a + 96 = -47*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**2 - i + 3. Let t(z) = 6*z**2 - 172*z - 323. Let p(v) = 10*m(v) - 2*t(v). What is f in p(f) = 0?\nAnswer: -2, 169","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -187723*k**2 - 11*k + 7410043 wrt k?\nAnswer: -375446*k - 11","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Work out 2.369717 - 25.\nAnswer: -22.630283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 2994 = o + 3*v, 0 = -2*o - 4*v + 1508. Suppose 1209 = r + g, 0 = 3*r + 4*g - 4375 + o. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -439 - -433. Sort f, -0.3, -2\/13 in descending order.\nAnswer: -2\/13, -0.3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -22 - -28. What is the smallest common multiple of 10 and p?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22580480?\nAnswer: 2, 5, 13, 23, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -183*p + 183*p + 2*p**3.\nAnswer: 2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3073 - 1113 = 70*z. Solve 0 = 19*d - z*d - 45 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 3 + n**2 + n**2 - 15*n - 6 + 5. Does 13 divide b(10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -35 - -14 - -7 - -17 - -4?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -18617.4031 rounded to the nearest 10000?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) + sqrt(75))*-2 + 4.\nAnswer: -12*sqrt(3) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of (9\/45)\/((-1)\/(-25))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 4, m: 1, j: 9, w: 2}. Give prob of picking 2 e.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 74147 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 145 = 24*k. Let z = 9 - 4. Solve 5*h + z = -k for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 114017 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 - 2 - 3*l**2 + 8 - 6 + 6 - 184*l**3.\nAnswer: -184*l**3 - 3*l**2 + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 20 (base 5) to base 13\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**2 + 7*f + 59. What are the prime factors of g(16)?\nAnswer: 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbbbybsbybbybybyb. Give prob of sequence bys.\nAnswer: 11\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3149993, 3149992, 3149991, 3149990?\nAnswer: 3149989","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Put 7, -46, -5, 1, 40 in descending order.\nAnswer: 40, 7, 1, -5, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 2*r**2 - 589. Let u(a) = -a. What is u(v(x))?\nAnswer: -2*x**2 + 589","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 3*l**2)*(-43 + 3*l + 43).\nAnswer: -9*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11010001 + -11000000?\nAnswer: -110010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -1\/14, 0.5, 0.04, 3\/4 in increasing order.\nAnswer: -1\/14, 0.04, 0.3, 0.5, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1138, 0 in decreasing order.\nAnswer: 5, 0, -1138","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 536003 (base 9) to base 3\nAnswer: 121020000010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 21018\/(-7119) + 4\/6\nAnswer: -16\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -492689 (base 11) in base 7?\nAnswer: -6424321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7733 is divided by 172.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (15 - 25)*((-7)\/1)\/(-7). Sort -16, 11, k.\nAnswer: -16, k, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -3*n**3 - 18*n**2 - 17*n - 14. Let g be k(-7). Is g greater than 253?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -3*a - 6. Let y be l(8). Let c = 123 + y. Suppose -2*r + c = r. Does 12 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**3 + 8*q**2 - q - 10. Let v be u(-8). Calculate the remainder when 79\/4 + v\/(-8) is divided by (-4)\/(-22) - (-476)\/44.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4910849*i**3 + 4239979*i wrt i.\nAnswer: 29465094*i","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the third derivative of -q**5\/20 - q**2 - 57*q. Let v(w) be the second derivative of 0 + 5\/2*w**3 + 0*w**2 + w. What is x(v(f))?\nAnswer: -675*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5772410?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 8440231 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3 (b) 3\/7 (c) 2 (d) 0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -6*x - 1. Let n be v(-1). Let u(m) = m**3 + 7*m**2 - 6*m - 6. Let o be u(-6). Suppose n*d = 24 + o. Calculate the remainder when d is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 24*g**2 - 1333*g + 9388. What is the least common multiple of 1370 and n(7)?\nAnswer: 12330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvvvvhvhvhhh. Give prob of picking 1 h and 2 v.\nAnswer: 21\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-6) - (-8)\/(-12). Let w = -3 - r. Which is bigger: w or -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 328014 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 429 divide 583485884?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 17, 4 in ascending order.\nAnswer: 4, 5, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 521929 and 114?\nAnswer: 521815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**3 - 2*j**2 - 2*j - 2. Let h = 100 - 88. Suppose 4 - h = 4*w. Give x(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (-5 + -12 - -12) - -9.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4650*v**3 + 6633*v.\nAnswer: -27900*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**2 + 39*f - 261. Calculate the common denominator of h(9) and (51\/(-4))\/(-2 - 1).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-165))\/(108\/270)?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11196*o**5 + 185*o**4 - 31*o - 184510?\nAnswer: -223920*o**3 + 2220*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 123015669?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 1. Let u(q) = -23*q**2 - 4. Suppose 0 = 3*s - 5*k + 22, 3*s - 2*s - 3*k + 14 = 0. Calculate s*u(z) + 4*v(z).\nAnswer: -23*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-70)\/(-700)*6*5*(-1481)\/(-3)?\nAnswer: 1481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/(4\/2) + 6. Suppose -5*s + 22 = -l*n, 5*n - 6*n = -4*s + 22. Is s\/9 + 219\/9 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -106599998 = -5*w - 2*t, -4*w + 5*w + 5*t = 21319995. Round w to the nearest one million.\nAnswer: 21000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w\/(w\/(w*w\/(w\/(w**(-49)*w))))*w**(-29)\/w*((w\/(w\/w**(7\/4)))\/w)\/w*w*w**(-4\/25) assuming w is positive.\nAnswer: w**(-7641\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 8001*o + 880115. Give l(-110).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1523576 and 6592.\nAnswer: 824","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -44*r - 3. Let j be q(1). Let p = -35 - j. Does 12 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*t - 62*t + 103 - 327 = 0. Let h(b) = 2*b**2 - 8*b - 11. Determine h(t).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/57705 and 59\/22666524?\nAnswer: 113332620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 478 a factor of 277814?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1243140 + -565117. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l = -p - 19, -9*p - 15 = -4*p - 4*l for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2530504.\nAnswer: 2, 37, 83, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 26 by -59.\nAnswer: -26\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*s**2 - 1112*s + 1111*s + 13 - 2*s**3 - 6*s**2 to the form k*s + l*s**3 + a*s**2 + w and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -18972*j + 2599149. What is z(137)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03424 rounded to two dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 9793 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 + -1 - -3) + 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the first derivative of -7*m**4\/2 + 3*m**2\/2 - 16. What is the second derivative of j(r) wrt r?\nAnswer: -84*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 40383.44979 - 40383. Let z = 0.149686 - t. Let w = z - -0.3. Round w to five dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*2*(sqrt(1331) + sqrt(1331)*-1*5 - sqrt(1331))*-3*1*-3)**2.\nAnswer: 269527500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -23111, -23101, -23077, -23033, -22963, -22861, -22721, -22537?\n\"Answer: j**3 + j**2 - 23113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = -3*t + 134, 0 = n + 3 - 1. What is the lowest common multiple of 16 and t?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19825586?\nAnswer: 2, 11, 23, 39181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the first derivative of f**6\/21 - 4*f**5\/35 + 4*f**3\/21 - f**2\/7 + 14. Factor r(v).\nAnswer: 2*v*(v - 1)**3*(v + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11524 and 4802627?\nAnswer: 2881","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 448 and 1218.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -0.034 (b) -0.4 (c) 5 (d) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -997*n**2 + 5*n + 7050. Let q(x) = 1008*x**2 - 6*x - 7053. Let i(d) = -5*q(d) - 6*v(d). What is the derivative of i(k) wrt k?\nAnswer: 1884*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -z - h, 3*h = -0*z + 4*z + 9. Suppose 3*i - 3 - 9 = 0, z = -v - i + 13. Find the second derivative of 18*b + 4*b - 2*b - v*b**2 + 17*b wrt b.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1215388.\nAnswer: 2, 311, 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/(3\/(-66)*2). Let a be (4 + -9 + -13)*(-1)\/(-2). Let z = n + a. Solve 0 = 5*h + 4*y - 22, 4*y = -z*h + 6*h + 4 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in one fifth of a gram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 151*c + 2417. Give f(-16).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -7.47476 * 6\nAnswer: -44.84856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2 (b) -5\/4 (c) -0.4 (d) 6 (e) -15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**3 - 18*s**2 + 16*s + 24. Calculate k(17).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/11? (a) 4 (b) -2\/43 (c) 2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1511818744?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 16 - 4 = 0. Calculate the smallest common multiple of l and 8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -19092 - -19088.8075. What is j rounded to one decimal place?\nAnswer: -3.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 4*w - 24, 2*w + 16 = f - 0*w. Let y be ((-8)\/14)\/((-4)\/f). Suppose 0 = 3*l + y*l - 270. Is 26 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*j - 252 - 318 = 0. What is the highest common divisor of j and 35?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -33, -44, -67, -108, -173?\nAnswer: -268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -2*q**2 + 80*q - 793. Calculate h(19).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * -100581.\nAnswer: 10058.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 63197107 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -1532*f**2 + 666*f + 30. Let n(s) = 3*s**2 + s + 3. Let q(b) = d(b) - 10*n(b). Find the second derivative of q(k) wrt k.\nAnswer: -3124","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -259854 - 20*a + 20*a + 259843 - a**3.\nAnswer: -a**3 - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -50\/2763 and -52\/441087?\nAnswer: 406241127","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -2.39 - -167.67878\nAnswer: 165.28878","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5494 divided by -67.\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (14198\/(-1085) - -13)\/(1 - (-5)\/(-2))\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -7 (b) 4 (c) -10 (d) -0.4 (e) -0.077 (f) 51\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -117036, -117040, -117056, -117090, -117148, -117236, -117360?\n\"Answer: -x**3 + 3*x - 117038","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4621521 and 647.\nAnswer: 647","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 4 * -0.1927\nAnswer: -0.7708","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 879 divide 627606?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:37 PM and 12:30 AM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 3*d**2 - 35*d. Let r(b) be the third derivative of b**5\/30 + 20*b**2 + 2*b. What is a(r(t))?\nAnswer: 12*t**4 - 70*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -223 (base 7) to base 15.\nAnswer: -7a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 1133.04 to the nearest 100.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.4, -76, 1\/6, -3\/4?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**3 + 8*d**2 - 6*d - 5. Let m be r(7). Solve 0 = -m*g - g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 445 = 7*f. Let y = f - -159. Suppose -4*j - y = -9*j. Calculate the remainder when 26 is divided by j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -451.8 - -452. Let m = 9\/68 + -605\/204. Which is the biggest value? (a) i (b) 0 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7482 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -94*y - 202. What is the hundreds digit of h(-12)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62 = 4*o + 11*w, -1342*o + 1345*o - 3*w + 7*w + 21 = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/g**2)\/g)**(-38)*(g**1)**22)**(-47) assuming g is positive.\nAnswer: g**(-4606)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the third derivative of -h**5\/60 - h**4\/24 + 2*h**3\/3 - 3*h**2. Let g(d) = -2*d**3 - 11*d**2 - 7*d - 6. Let i be g(-5). What is s(i)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1846 - 2230 + 1265 - 727)*(g**4 + g**2 - g**2 + (3*g**2 - 4*g**2 - g**2)*(0 + 0 + 5*g**2)).\nAnswer: 31842*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00014323997 rounded to 6 dps?\nAnswer: 0.000143","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 178.5123 litres?\nAnswer: 178512.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.172 + 0.028. What is the nearest to p in -2, 1\/10, 6?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(-15)*(-1 + (-51)\/(-69))?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -m**5 + 5*m**4 + 2*m**3 - 42*m**2 + 63*m - 27 = 0.\nAnswer: -3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 84*l + 3. List the prime factors of a(2).\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49886 is divided by 73.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**2 - 40*v - 155. Determine o(-15).\nAnswer: 220","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 326, 644, 952, 1244, 1514, 1756, 1964?\nAnswer: 2132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -22 (b) -4 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 57237, 114461, 171685?\n\"Answer: 57224*u + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 42201?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/5 of a century in months?\nAnswer: 11520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 44\/5 of a decade?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**5\/6 + 136*q**4\/3 - 135*q**3 + 404*q**2\/3 - 269*q\/6.\nAnswer: -q*(q - 269)*(q - 1)**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 38\/14 + (-12)\/(-42). Let k = -1 - -5. Suppose 2*r = k*m - 66, m + h*m - r - 65 = 0. Is m a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7742 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2*1)\/(119\/7)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3516 = 4*z - 4*t, -25*z + 3*t = -30*z + 4427. Suppose z - 85 = 5*k + i, 3*i = k - 166. Is k a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 312300 and 24515550.\nAnswer: 49031100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 - -12. Let x = j + -3. What is the least common multiple of x and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h - 2 = 0, 16*j - 19*j + 3*h = -9 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 51.6 * -0.3.\nAnswer: -15.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -70.6 and 14.5.\nAnswer: -1023.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 8472586*l**3 - 4236287*l**3 - 4236294*l**3 + 2.\nAnswer: 5*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 173, 3, -17, 2\/7, -4?\nAnswer: 173","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 2*k**4 - 4692*k**3 - 602880*k**2 + 4817069824*k - 48105738240 = 0.\nAnswer: -912, 10, 1624","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 30*a**2 - 4. Let w(o) = o**2 - 1. Let c(q) = -4*w(q) + y(q). Let p(f) = -f - 7. Let b be p(-6). Is c(b) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**2 + 4*g + 2. Let s be h(4). Suppose 0 = -s*d + 5*d. Suppose d*j - 35 = -j. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3 + (5 - 4) - -4. Suppose 3*z - 43 = -2*b, -2*z = -6*b + u*b + 62. Solve -5*o = -3*m - 6 + 2, b = -5*m - 2*o for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**2 + 6*r - 15. Let w be -1 + 1 + 1\/((-4)\/(-36)). What is the hundreds digit of x(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 474*h - 17967. Give d(38).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -1120649.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*z - 2189 = 17*z. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) -305 (c) -2\/99 (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -308*n**2 + 627*n**2 - 310*n**2.\nAnswer: 9*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q - 10 = 5*r, 5 = q - 4*r - 3 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l*l*l*l*l**4*l\/((l\/(l\/(l*l*l**(-2\/55))))\/l) assuming l is positive.\nAnswer: l**(442\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4742 is divided by 42.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 91, 84, 65, 28, -33, -124, -251?\n\"Answer: -c**3 + 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 k, and 1 r when three letters picked without replacement from rplorlprrrorokd.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/3 - 13\/(-3). Let p = c - 0. Suppose 0 = -0*w + p*w - 20. Solve -3*y - w = 5 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a centimeter in micrometers?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes before 5:35 PM?\nAnswer: 4:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -189*b - 15290 = -884*b for b.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 27109752157 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -17*a - 10. Let d(u) = -u**3 - 6*u**2 + 14. Let k be d(-5). Is r(k) a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -q + 10. Suppose i = -o - 4*o - 26, 0 = -q*i + o. What is the remainder when 35 is divided by (18 - (2 + -3)) + i?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve w - 302 = -5*d - 300, 2*d + 5*w = -13 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b - 17 - 20. Let n be (-50)\/(-8) + 2\/(-8). Suppose q = n*q + 4*i - 91, 59 = 3*q - 2*i. Calculate the remainder when b is divided by q.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(5\/(-15) - (-2)\/6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-34)\/(-102) + (-7624)\/(-6). Calculate the highest common divisor of 41 and k.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 156484 to the power of 1\/3, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2749857 rounded to the nearest 10000?\nAnswer: 2750000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -263*k**3 - 4*k + 471*k**3 + k - 408*k**3 + 3*k.\nAnswer: -200*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6514351?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 82 is divided by 59?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*i + 19662 = -54804. What is the highest common factor of i and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 111100111101100111 (base 2) to base 16\nAnswer: 3cf67","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(2\/7)*k**(-2)\/k*k\/((k**3*k*k)\/k)*k*k\/(k*k**(-1\/3)))\/((k\/(k\/k**(2\/9)))**(2\/15)*(k**(1\/2))**28) assuming k is positive.\nAnswer: k**(-17398\/945)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*j - 2788457 = 606762 - 849299. Round j to the nearest one thousand.\nAnswer: -106000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**5\/z**14)**21)**39)**(31\/3) assuming z is positive.\nAnswer: z**(-76167)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 167*q - 1000. Let s be r(6). Solve -30 = -s*p + 5*m, -44*m - 9 = -5*p - 48*m for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) + sqrt(33)\/sqrt(3) + -4 - (sqrt(1584) - 5*sqrt(1584)))**2.\nAnswer: -400*sqrt(11) + 27516","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 725?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5994, 11986, 17978, 23970, 29962, 35954?\nAnswer: 41946","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from bbbbobbbbbbbobbbbob?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Are -8454481 and -8454480 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 63 and 8631?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in 9, 10, 48\/149, -0.4, -2?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/(-1*(-1)\/(-3)). Suppose 0 = l - p*v + 7, -6*l - v - 1 = -3*l. Let j = 1 + -1. Which is smaller: j or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4.044 + -0.044. Let d = 3.6 - x. What is the second smallest value in -0.3, d, -1\/5, 5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42519066 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: Suppose -2 = -10*c + 8*c. Let a be (102\/(-10))\/(c\/(-45)). Suppose -3*p - a = -6*p. Calculate the highest common divisor of 17 and p.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 44998448?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 40 = 4*j - 2*m, 4*m = 16. Is j\/(-35) - 657\/(-5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 484 to the power of 1\/2, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1648689 a multiple of 150?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -76 + 58 - -28 - ((-2744)\/(-137))\/2.\nAnswer: -2\/137","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 2 t when three letters picked without replacement from {i: 1, r: 3, g: 2, z: 1, n: 1, t: 3}?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-8)\/(-10)*(-42 - -1247). Let r = v - 556. Is r a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the third derivative of k**4\/6 + 2*k**3\/3 - 5*k**2. Let c be m(9). What is the greatest common factor of c and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5.104 + 0.046. Round p to zero decimal places.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -100 or 17?\nAnswer: -100","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 6 (b) -79 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-26)\/(-6) - 3\/9. Suppose 5*y - 14 = s*y. Suppose -50 + y = -2*q. Is 18 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*d + 2*x - 8, -3*x + 9*x + 20 = 11*x for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 21 = 5*k, -2*k + 0*m + 3*m + 7 = 0. Suppose -5*q - k*q + 310 = 0. List the prime factors of q.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 2544?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 838.4199 kilometers to micrometers.\nAnswer: 838419900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 15) to base 3\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 + (3 - 3 - 0) - (101 + -103).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:36 PM and 5:20 AM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1361729 to the power of 1\/6, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 4*f - 21 = -27, 15 = -10*u - 5*f. Which is smaller: 11\/21 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i - 23 = -5*v, -3*v = -7*v - 5*i + 1 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 - 148.95?\nAnswer: -21.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 6983410 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 - 7 - 7 + (4 - 5 + 0)*(0 + 2 - 1))*(-10 - 3 + 4)*(-1 + 1 - f).\nAnswer: -234*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 109427 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-75) + 9*5970\/3375?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13300 = 4*f - 7588. What is the hundreds digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41118263 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 4 = 2*p, -7*p = x - 3*p - 2. Let z be (72\/(-8))\/(x + 1). Solve m - 16 = 3*y, z*m - 3*y - 32 = 4*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 11*w**3 - 3*w**2 - 45*w + 135. Give p(3).\nAnswer: 270","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1986464 (base 14) to base 9\nAnswer: 25787658","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 70, 5, 1 in ascending order.\nAnswer: -2, 1, 5, 70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 3500*h + 126*h**2 - h**3 - 854*h + 18522 + 2*h**3 + h**3 = 0.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*d + 7 = -16*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 920 + 1332 = 11*p + 591. List the prime factors of p.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the first derivative of 3*v**7\/7 + v**6\/6 - 27*v**5\/5 - 7411*v**3\/3 - 9511. What is the third derivative of o(y) wrt y?\nAnswer: 360*y**3 + 60*y**2 - 648*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a century in months?\nAnswer: 1440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = 5*a - 4*a + 4*c, 0 = 3*a - 5*c - 29. Suppose y - 4 = b - a*y, -2*y = 5*b - 2. Suppose 4*s - 3*p - 3 = b, s - 7 = 5*p - 3*p. Is -0.2 >= s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express k**2 - 2*k - k**4 + 0*k**2 - 2*k**2 - k**3 as s*k**4 + g*k + p*k**2 + j + c*k**3 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 240643568 to the power of 1\/4, to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in v**3 + 1176977*v - 1176977*v.\nAnswer: v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + t = 10. Suppose -6 = -t*p - 2*b, -7*b - 4 = -4*p - 3*b. Suppose 9 = 5*f - p*f. Is f a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 11421 + -2?\nAnswer: 11417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.2, -7, 0.2, 0.4, -37.658?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 51\/14 - 719\/84. Let z be -1041 - (3 + 5 + -11). Calculate the common denominator of u and (z\/(-108) - 5) + 0.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 j when two letters picked without replacement from {q: 1, c: 2, j: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 35172230?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 35, 85, 137, 191, 247, 305, 365?\nAnswer: 427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108*d + 124*d = 247696. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -2*p + 2. Suppose -g + 0*g - 10 = 0. Let u = -12 - g. Calculate the remainder when t(u) is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(30\/(-20)*1\/3).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -20119\/38190 + 1\/2010. Let i = -2 + 1. Is c <= i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40961*o - 2 = 5*w - 40957*o, 3*w = -3*o for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -5443, -1\/2, -1, -2.4, -82?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 5492, 5500, 5508, 5516, 5524, 5532?\n\"Answer: 8*l + 5484","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s - 2. Let z(d) = 8*d + 17. Let x(v) = -51*n(v) - 6*z(v). Let j(o) = 5*o. Calculate j(x(w)).\nAnswer: 15*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -200123201030 - 0?\nAnswer: -200123201030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + c + 7 = 0, 0*c - 6 = 3*c. Suppose 3*o - 5*n - 25 = 0, m*o + 3*n = -n - 20. Which is smaller: o or -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a century in months?\nAnswer: 1440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.1254 + 0.8886. Let v = h + -1. Round v to 2 decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 30694408*t**4 - 25427303*t wrt t?\nAnswer: 368332896*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 18 = 4*t - 2*t, 4*k = -3*t + 3. Suppose 0 = -2*o + 5*o + k. Let v(f) = -8*f**3 - 3*f**2 - 2*f. Calculate the remainder when 39 is divided by v(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -8*b - 6. What is the tens digit of s(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 244 = 3*t - c, -5*c = 5*t + 415. Let y be (16038\/t)\/(1\/4). What is the units digit of y\/(-15) + (-6)\/10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -676751301 to the nearest 1000000.\nAnswer: -677000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -24, -2, -1, 5, 2.\nAnswer: -24, -3, -2, -1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 108\/(-189) - (-2)\/4 - 2*(-31)\/280.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(256\/2)*720\/(-180)\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -5, 5, 7341 in descending order.\nAnswer: 7341, 5, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 + 13*b + 7 - 99*b - 12.\nAnswer: -86*b + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 + 143 + (-42 - -37). Calculate the greatest common divisor of 6 and h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**3 - 39*o**2 - 270*o.\nAnswer: 3*o*(o - 18)*(o + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -83, -2, 0, 3, 18, 4 in descending order.\nAnswer: 18, 4, 3, 0, -2, -83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/(s**(2\/49)*s)*s*s*s*s**(-12) assuming s is positive.\nAnswer: s**(-443\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a century in decades?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-9)\/(-6)*16\/30. What is the third biggest value in 0.1, 0.3, p?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (-4 - (-35 + 6))?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 8 and 0.46.\nAnswer: 3.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*j - 33*j**2 - 29*j**2 - 1 + 38*j**2 + 26*j as s + n*j**2 + y*j and give y.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 6) to base 7\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-19 - -4) + (45 - -4) + 13 + -2\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 2. Let g(r) = 3*r - 2*r - 3*r - 1. Let i be g(-1). Let n(h) = -h - 1. Give i*t(w) + 2*n(w).\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -5*n**2. Let h(u) = 153*u - 153*u + u**2. Determine b(h(v)).\nAnswer: -5*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 84.07988 + 17158540.92012. Let z = -17158624.80999966 + p. Let w = z + -0.19. Round w to seven dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 33\/161 and 91\/7126688.\nAnswer: 49886816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.793 - 5.793. Which is the closest to 7? (a) i (b) 2\/19 (c) -2\/15 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1173, 9328, 31463, 74568, 145633, 251648, 399603, 596488?\nAnswer: 849293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1285 is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -112*o**5 - 1 - 910629*o + 910629*o + (-1 - 4 + 6)*(2*o**2 + o**5 - 2*o**2).\nAnswer: -111*o**5 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -5*i - 8. Suppose -3*v + 2*v - 7 = 0. Let w be x(v). Suppose 4 = 3*k - 5. Calculate the greatest common divisor of k and w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 5*k + 9 = 0. Suppose t + s = -t + 30, 0 = k*t + 3*s - 45. Suppose 0 = 5*z - 0*z + t. Is z bigger than -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i + 1 = 9 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 3*a**3 - 5*a**2 - 64*a + 46. Calculate b(-4).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 685469 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + -6 + -4 - -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6772 is divided by 1354.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**3 - 13*f**2 + 13*f - 9. Let q be l(12). Suppose 0*m - 5*m + 2*p - 227 = 0, 3*m = -p - 134. Is 4 a factor of ((-1)\/3)\/(q\/m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/7 less than 24?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/462 and 3\/405251.\nAnswer: 2431506","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -21563 + 21562.99748336. Round d to four decimal places.\nAnswer: -0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (34 - 28) + (73 + -4 - 12)\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 450\/(-825) + (8086\/143 - -8).\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.19938628 * 5\nAnswer: 0.9969314","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -257099*d**3 + 151928*d + 258979*d**3 + 197762*d - 5*d**4 - 178585*d**2 = 0.\nAnswer: 0, 2, 187","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.366 (b) -0.5 (c) 1.4 (d) -22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -107217.0122793 - -107217. What is h rounded to 3 decimal places?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*t = 46*t + 560. Suppose -3*l = -11*r + 15*r - t, -5*l = -3*r - 114. What is the smallest common multiple of 27 and l?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 2*m**2 + 569*m + 39776. Give g(-159).\nAnswer: -133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 + 21. Let q be ((-6)\/w)\/(-1) - 34\/(-9). Solve x + 8 = q for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.24 + -1.24. Let k = v - 4. Which is the second smallest value? (a) 1 (b) k (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2013\/(-1708))\/(28\/4018*41)\nAnswer: -33\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*(j\/((j*j**(1\/3))\/j))\/j)**(-7))**50)**(5\/3) assuming j is positive.\nAnswer: j**(-3500\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1300 (base 5) in base 13?\nAnswer: -125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 547882?\nAnswer: 2, 273941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 26 and 3606.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4324 and 564.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 710\/3 - 236. What is the third smallest value in h, -0.4, 2, -108?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 4*c**3 - 23*c**2 + 5*c + 3. Let t(z) = 5*z**3 - 22*z**2 + 4*z + 5. Let r(w) = -3*a(w) + 2*t(w). Let b be r(12). Put 3, b, -1 in increasing order.\nAnswer: -1, 3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 579715b (base 12) to base 2\nAnswer: 1000000010110110100010111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 24929 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3898824 a multiple of 130?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9722139 and 2793.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 94613 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -127 - -1?\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -24658, -24645, -24630, -24613, -24594, -24573?\n\"Answer: f**2 + 10*f - 24669","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-28 + 102 + 27)*(-3*l - l - 12*l).\nAnswer: -1616*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (10\/(-20))\/((-2043)\/(-342) - 6)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 77735 and 175.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is f in 2*f**2\/7 + 273364040*f\/7 + 9340987295640200\/7 = 0?\nAnswer: -68341010","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.411 + -0.811. What is the closest to -2\/7 in 0, r, 5, 1\/2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1243121 (base 5) to base 16.\nAnswer: 60d2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) -0.35 (b) -5 (c) -0.5 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.092 + 0.008. Let q(g) = 5*g**2. Let c be q(-1). Let f = -15\/2 + c. Sort -6, 2\/7, f, i.\nAnswer: -6, f, i, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2493 plus 0.3?\nAnswer: 2493.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 982 divide 455631306?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -882*g + 50 = -892*g. Which is the closest to 0? (a) -1\/3 (b) g (c) 6 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the third derivative of -t**9\/756 - t**8\/420 + t**7\/210 + t**6\/90 + 7*t**3\/2 + 21*t**2. Let u(o) be the first derivative of j(o). Factor u(g).\nAnswer: -4*g**2*(g - 1)*(g + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**2 - 159*u - 2391. Let k be y(-134). Calculate the greatest common factor of k and 3562.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 297920 and 1549184.\nAnswer: 7745920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 737 is divided by 74.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2487 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 394*z**2 + 306*z - 31. Let s(h) = -131*h**2 - 102*h + 11. Let f(x) = 17*s(x) + 6*y(x). What is the second derivative of f(w) wrt w?\nAnswer: 274","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.1, -1\/3, -0.3, 0.11?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14.5 - -2.5. Let j = z + 11.5. Sort 0.1, 0.3, j in descending order.\nAnswer: 0.3, 0.1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/6 and 73\/1864.\nAnswer: 5592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -k - 4758607 + 4758607 + 8*k.\nAnswer: 7*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**3 - 2*i**2 + 5*i + 1. Let j(t) = -4*t**2 + t + 1. Let g be j(-1). Let v be d(g). Let o = v + -1. Calculate the highest common factor of 8 and o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -3*u**2\/5 - 176781*u\/5 + 6014022\/5 = 0.\nAnswer: -58961, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 1134?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 4*p - h + 10 = 0, 5 = -5*p + 5*h. Suppose 5*t = -2*r + 111, -4*r = 3*t - p*r - 67. What is the remainder when 43 is divided by t?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dw when two letters picked without replacement from dbwwbdwdwd?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 30, 87, 240, 537, 1026?\nAnswer: 1755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*k**2 + 2*k + 2*k**2 + 2*k**4 + 3*k**3 - 6*k**2 to the form j*k**3 + n + z*k + b*k**4 + a*k**2 and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*l - 9*l = 138. Let r = -37 - -126. Calculate the remainder when r is divided by l.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 2*r - 250 + 11, -595 = -5*r + 3*g. Solve -120*a = -r*a + 2 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 1)*(-123*z**3 + 2 + 2*z**5 - 44*z**5 + 125*z**3).\nAnswer: 42*z**5 - 2*z**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4019*q + 4303*q - 8329*q.\nAnswer: -7*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhgchghggchhq. Give prob of picking 1 q, 1 h, and 1 c.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 8285 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*b**4 + 126040960*b**3 - 1323860215782816*b**2 + 4635015543018126358272*b + 9270036381478124175552 = 0. What is b?\nAnswer: -2, 10503414","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*k - 11*k + k**2 + 18*k.\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -83, -82, -79, -74, -67, -58?\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -48*m + 2 - 1 + 0 - 66*m - 49*m in the form j*m + g and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-1)\/(-2) + -1)*14. Let o be 60\/(-21)*w\/2. Suppose -2*p = 5*i - 20, p + 2*i - o + 2 = 0. Solve -10 = -p*z - 2*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -3*d - 27. Is -13 smaller than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -46 and 53607.2.\nAnswer: 53561.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*m - 783 = -937 for m.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64 = 4*p - 5*g, 5*p + 5 = 3*g + 85. Let w = p + -21. Which is the biggest value? (a) -6\/13 (b) 0.3 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 1 + 12. Let v(t) = t - 11. Let o be v(d). Let a = -20 - o. What is the third biggest value in a, -1\/5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 416d09 + 1?\nAnswer: 416d0a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 - 54 = 2*x. Suppose 8 - 2 = -x*h. Let m be (-1)\/h*6*(-12)\/(-9). Sort m, 0, 3, -2 in increasing order.\nAnswer: -2, 0, 3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*l - 22*l + 6 - 6.\nAnswer: -12*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(sqrt(117) - (sqrt(117) - sqrt(117)*-3) - sqrt(117)))\/sqrt(9))**2.\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 66\/(-15) + 12\/(-20). Let d be (42\/35)\/((-2)\/g). Solve m + d*m = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 467*d**2 + 64*d - 29. What is the tens digit of z(5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (22\/55)\/(2\/(-10)). What is the tens digit of w\/(-9) + 45070\/90?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 842390?\nAnswer: 2, 5, 84239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**2 + k. Suppose 0 = 3*u - 5*j - 21, u + 3*u + 5*j = -7. Suppose -3*v + u*v + 3 = 0. What are the prime factors of a(v)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 200\/550 - (-351)\/33\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 3 + 4 - 7 - 4 - z - 17*z. Let o(p) = -p - 1. What is -5*o(a) + w(a)?\nAnswer: -13*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13\/6305*15)\/((-6)\/4)?\nAnswer: -2\/97","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -32, 0.5 in ascending order.\nAnswer: -32, 0.5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*t - 1 - 42*t - 1 - 6*t + 66*t + 25*t**3.\nAnswer: 25*t**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**3 - 8*z**2 - 8*z + 17. Let f be i(9). Suppose 0 = -2*t + 20 + f. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 31084.76626 + 7\nAnswer: 31091.76626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -230, -457, -684, -911, -1138?\nAnswer: -1365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5532304*w - 15279907 wrt w?\nAnswer: -5532304","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*h - 7*h - h + 0*h.\nAnswer: -10*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10 - -20. Let f = -1072718 + 1072728.000005. Let b = f - x. Round b to five dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18747669 to the power of 1\/6, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/1920579 and -125\/42.\nAnswer: 26888106","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes after 3:22 AM?\nAnswer: 10:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 33 (b) -0.3 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o = -4*p - 22, -14*o - 19 = -15*o + 4*p for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*d**4 - 16897*d**3*k - 8665*d**3 - 21*d**2*k - 24*d**2 + 115258*d*k wrt d?\nAnswer: -48*d - 101382*k - 51990","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -11bc6d (base 14) in base 11?\nAnswer: -386501","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4325667?\nAnswer: 3, 17, 89, 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, p: 1, f: 1, o: 1, e: 3}. Give prob of picking 1 f, 1 p, and 2 e.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15.314031 - 18.117.\nAnswer: -33.431031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 2*a - 50, 110 = 39*a - 35*a - 3*n. Suppose 3*x + r = 29, -6*x = -4*x - r - a. Solve h - 5*h = -d - x, 0 = -d - 5*h + 7 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 555896*f**5 + 7*f**4 - 23*f**3 - 1341891*f**2 - 40*f + 2?\nAnswer: 33353760*f**2 + 168*f - 138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1141?\nAnswer: 7, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -5*j**3 + 89*j**2 - 3359*j + 60779. Determine v(18).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minus -21?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 13) to base 16\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 122521141?\nAnswer: 122521141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**5*f)**16\/((f\/f**(-5)*f)\/f*f**15))**(-26\/3) assuming f is positive.\nAnswer: f**(-650)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*h**5 + 2*h**5 - 2*h**5 + (3*h**3 - 6*h**3 + 2*h**3)*(2*h + 4*h - 3*h)*(-h - h + 5*h).\nAnswer: -6*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 63 and 630?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66541329 is divided by 102.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -4*w**4 + 2*w**3 + 2*w - 5. Let y(l) = l - 2. Let m be y(0). Let v(s) = s**3 + s. Let j(k) = m*v(k) + n(k). Differentiate j(a) with respect to a.\nAnswer: -16*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the first derivative of 41*s**2\/2 + s - 1. Let w be k(-1). Let t be (-6)\/(-7)*(-56)\/w. Is t <= 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 59\/220 + -1\/55. Let s = 537 - 538. Which is smaller: z or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 0*h**2 + 199*h + h**2 + 23 + 213*h - 427*h. Let y be t(14). Solve -g = -3*g - 6, 2*g - y = 3*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -506*h - 731753 = -12216*h - 1010975 - 1172818 for h.\nAnswer: -124","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37789103?\nAnswer: 11, 3435373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/5*(-15)\/(-24)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:15 PM and 4:51 PM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 308 - 398*l - 308 to f + p*l and give p.\nAnswer: -398","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3 and 201?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 120.826 rounded to the nearest integer?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 4*c - 3. Let v be n(2). Suppose -8*o + 5*j + 73 = 0, -3*o + 2*j - 544 = -573. What is the nearest to o in v, 2\/11, -4?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 + 1 = 3*u. Let f(n) = -50*n + 23. Let q(z) = 17*z - 7. Let g(x) = -f(x) - 3*q(x). Determine g(u).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 13 - 256*r + 580*r + 264*r. Suppose 0 = -3*k + 9 - 0. Is p(k) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41919 is divided by 711?\nAnswer: 681","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -115 in -115, -0.3, 3?\nAnswer: -115","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 2308.466ml?\nAnswer: 2.308466","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n - 1. Let i(l) be the first derivative of l**2\/2 + 5*l - 4. Let v(u) = i(u) + 4*z(u). What is the smallest common multiple of v(-5) and 4?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8616355 weeks to minutes.\nAnswer: 8685.28584","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1362 (base 7) to base 8\nAnswer: -1026","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, x: 1, k: 1, m: 2, g: 1, a: 1}. What is prob of picking 1 k and 1 x?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 439712?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 133068 to the power of 1\/2, to the nearest integer?\nAnswer: 365","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 135130 (base 6) to base 2\nAnswer: 11000111111110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 18 and 1967022?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -14165*t - 43006?\nAnswer: -14165","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7)\/(-28))\/((-6942)\/(-208) - 36)?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 13548 and -15.9?\nAnswer: -215413.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 2*w**2 - 130*w + 505. Determine z(43).\nAnswer: -1387","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p = 2*o - 152, -3*o + 7*p - 11*p = -34 - 114 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i + 0*i**2 + i**2 + i)*(148 - 22*i - 148).\nAnswer: -22*i**3 - 66*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 17574983?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**2 - 3*o - 1. Let b(r) be the first derivative of r**2 + 2*r - 1. Let h be b(-2). Let z(u) = -2*u - 1. Calculate h*k(v) + 3*z(v).\nAnswer: 2*v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -2*z. Let d(g) = -166851*g. Determine d(v(n)).\nAnswer: 333702*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u + 2. Let l be x(3). Let p be 5*l\/(-1) + 14\/7. Find the first derivative of 22 + 0 - p - 14*s**3 - 9*s**3 wrt s.\nAnswer: -69*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/(r*r**(-3)\/r))**(-5\/13)*(r\/((r*r*r\/(r\/(r\/(r\/(r*r**(-2\/5)\/r*r)))))\/r))**(2\/39))**42)**(-35) assuming r is positive.\nAnswer: r**(29988\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d - 415429 = -13*d. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.4 - -0.6. Let b be (6\/(-8))\/((-858)\/176). Let d = -0.1 - -0.2. What is the closest to -5 in d, v, b?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 5*k - 522. Let h(p) = -p**2 + 903*p + 2. Determine h(j(q)).\nAnswer: -25*q**2 + 9735*q - 743848","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:47 AM and 4:03 AM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -121440 rounded to the nearest 1000?\nAnswer: -121000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -6*q**2. Let y(i) = 5*i**2. Let p(v) = 7*a(v) + 6*y(v). Let w(z) = -z**2. Calculate p(w(d)).\nAnswer: -12*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 2188, 8676, 19488, 34624?\n\"Answer: 2162*w**2 + 2*w + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 589613770?\nAnswer: 2, 5, 58961377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(220) + sqrt(220)*-4)*-5)\/((sqrt(5) - -1*sqrt(180)) + (sqrt(10)\/sqrt(2) - sqrt(5))*-6) + -5)**2.\nAnswer: -300*sqrt(11)\/7 + 11125\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 167 = -3*b + 46, 2*m + 126 = 2*b. What is the greatest common divisor of b and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 7, q: 2, r: 4, g: 3, n: 2}. Give prob of picking 2 n and 1 g.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 3*m**2 - m + 5. Let f(g) = 4*g**2 - g + 6. Let p(i) = -5*f(i) + 6*v(i). Determine p(2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 28 and 350?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 2*r**2)*(-28 - 23 - 66).\nAnswer: 234*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 101 - 8 = 0. Suppose -17*q + f*q - 3850 = 0. Is 54 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2144903516 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 191419438 is divided by 47854856.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -24*m - 7. What is n(-6)?\nAnswer: 137","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.078 - 0.478. Let f = 0.6 + -0.2. What is the smallest value in g, f, 1\/7?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2129 - 17474 = -9*w. Let u = 2479 - w. Does 18 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10729\/3 + -3611. Let c = -34 - j. Factor -c*a + 2\/3*a**2 + 0.\nAnswer: 2*a*(a - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9? (a) 0.4 (b) -21 (c) -29\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 945 and 414855.\nAnswer: 945","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4568 + 4568 + 21*w)*(2*w + 2*w - 2*w) - w + w - 2*w**2.\nAnswer: 40*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3226385255 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 54310248 divided by 6.\nAnswer: 9051708","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 911083623?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -54 - -44. Let z = 34 - t. Let f = 45 - z. Which is the biggest value? (a) f (b) 6 (c) 2\/7 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -17*k**3 - 5*k**2 + 2*k - 1. Let r(w) = 25*w**3 + 7*w**2 - 3*w + 1. Give 5*r(q) + 7*v(q).\nAnswer: 6*q**3 - q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that q**4 - 335*q**3 - 28107*q**2 - 99801*q + 561330 = 0.\nAnswer: -66, -7, 3, 405","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2198, -4346, -6494, -8642, -10790, -12938?\nAnswer: -15086","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p + 12. Let a be c(9). Differentiate -b - 15*b**a + 20*b**3 + b - 2 wrt b.\nAnswer: 15*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 169187, 168073, 166959?\n\"Answer: -1114*h + 170301","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*t**2\/5 + 246728*t\/5 + 246732\/5.\nAnswer: -4*(t - 61683)*(t + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(153)*-1)\/(sqrt(36)\/sqrt(4)*2 - sqrt(9)).\nAnswer: sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 3, n: 11}. Give prob of picking 4 n.\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2323*t + 4*q = 2324*t + 11, -3*t + 2*q - 23 = 0 for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*g + 81270 - 81270.\nAnswer: -3*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -52739\/10923 + 10\/993. Find the common denominator of f and 73\/4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u + 103*z - 48 = 81*z, -2*u + 7*z - 3*z - 10 = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*r + 36 = 31*r. Suppose 0*k + 4*w = -k + 1, -12 = -3*k - 3*w. Let a = k - r. Are -6 and a equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 201 is divided by 66.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 11 (b) 0.27 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the third derivative of 0*f - 1\/60*f**5 - 53*f**2 + 4\/3*f**3 - 1\/4*f**4 + 0. What is k(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-17)\/(1836\/40)*(54\/(-10))\/(-9)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*k + 18317 = 149315. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38896713?\nAnswer: 3, 1440619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -103047142 or -103047141?\nAnswer: -103047142","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((94976\/(-280))\/(-53))\/((-2)\/20)\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2258100462 to the nearest integer?\nAnswer: 218","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 29.1 - 29. Is -5 < m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 722 to the power of 1\/2, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 64\/28 - 0?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 5473.462mg?\nAnswer: 0.005473462","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -59 - -86. Let r be (-24)\/16*(1 - c). What is the highest common factor of r and 52?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*d + 816 = 26*d - 134*d for d.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 77 and 12836593?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**3 + 3*b**2 + b + 2. Let v be (-129)\/9 + (-2)\/3. Let r be (-1)\/5 - (-42)\/v. Is w(r) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -43*-1\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the second derivative of v**4\/12 + 34*v. Let n(p) = -2*p**2 + 9*p. What is t(n(c))?\nAnswer: 4*c**4 - 36*c**3 + 81*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 206143, 206155, 206163, 206167?\nAnswer: 206167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (3 + (sqrt(448) + 0 - sqrt(448)) - (-1 + 1*sqrt(448))))**2.\nAnswer: -96*sqrt(7) + 484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1664979 and 186.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -12*j**3*l**2 - 445253*j**2*l**3 + 421*j*l**2 - 2*j + 824*l**3 wrt j.\nAnswer: -72*j*l**2 - 890506*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 6*s**2 - 48. Let h(k) = 2*k - 6. Let v(w) = 5*w - 16. Let n(u) = -8*h(u) + 3*v(u). Give n(d(f)).\nAnswer: -6*f**2 + 48","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b - 5*q + 15, -358*b + 355*b = -5*q - 49. What is the smallest common multiple of (-2)\/(-4) + (-5)\/(-2) and b?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -62.003 and -0.3.\nAnswer: -62.303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 323.2 - 323. What is the nearest to -14 in -1\/4, 0.1, 0.4, h?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**3 + 8*s**2 - s + 12. Let h be z(-4). Let u be (-24)\/9*114\/4. Let o = u + h. Solve -4*r - 12 = -o*y - 8*r, -4*r = 5*y - 16 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (34\/(-51))\/(4\/18). Let z(r) = -35*r - 15. What is the units digit of z(n)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 22927*p + 92180. Give d(-4).\nAnswer: 472","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**14)\/u**(6\/7))**(2\/65)*((u\/u**(2\/9))**(-29))**7 assuming u is positive.\nAnswer: u**(-644773\/4095)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 638 is divided by 220?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10719 and 45?\nAnswer: 53595","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 155\/492 and 43\/120.\nAnswer: 4920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(320) + (sqrt(1280)*2 + sqrt(1280) - sqrt(1280)))\/(sqrt(60)\/((sqrt(24) - sqrt(6))*-3)))**2.\nAnswer: 2592","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 18 - (0 - 3\/(-3)). Suppose -h + 14 = 12. Suppose h*q + w = 123. Calculate the remainder when q is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 19 = -r, -5*q - 61 = -7*r + 4*r. Let i(x) = 7 - r - 7*x**2 + x**3 + 8*x + 11. Let f be 0\/(-7) - (0 - 6). Give i(f).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(1\/4)\/l)**49*l\/l**(-4)*l*(l*l\/((l*l*l*l**(-6)*l)\/l)*l*l)\/l)\/((l\/l**(-1\/3)*l)**(9\/4)*(l\/(l**(1\/3)*l)*l*l)**22) assuming l is positive.\nAnswer: l**(-53\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 90912, 90926, 90936, 90942, 90944, 90942, 90936?\nAnswer: 90926","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/8 of a second in milliseconds?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (86 + 50)\/(12\/3)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) -1508180 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 8c1 (base 14) to base 3\nAnswer: 2101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-21 + -1)\/(-2*(-4)\/4). Let x(u) = -u**4 - 17*u. Let y(q) = 4*q**4 + 50*q. Let o(p) = j*x(p) - 4*y(p). What is the second derivative of o(z) wrt z?\nAnswer: -60*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - t - 36 = -4*s, -5*t - 9 = 4*s. Let w be ((-39)\/(-15) - s) + 1. Which is the closest to -2\/7? (a) w (b) 0.3 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (12\/2)\/(0 + 1). Suppose i = 5*m - 3*k, m + 2*k + 3*k = 18. Find the second derivative of -5*h + 5*h**3 + 4*h**3 + m*h**3 wrt h.\nAnswer: 72*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -81421, -162926, -244431, -325936, -407441?\n\"Answer: -81505*v + 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 1730?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0013237 to 5 decimal places.\nAnswer: -0.00132","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54605.\nAnswer: 5, 67, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 29*a**2 + 54*a - 2. Let u(z) = z - 1. Let i(t) = 3*r(t) + 6*u(t). Factor i(o).\nAnswer: 3*(o + 2)*(29*o - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2987515405?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -8*o - 12. Let w be s(-3). Let b(p) = 9*p + 16*p**2 + w*p - 21*p. Let j(f) = 5*f**2. Determine b(j(r)).\nAnswer: 400*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 3779206?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -654*v - 2. Let l(t) = 79772*t + 245. Give 245*j(w) + 2*l(w).\nAnswer: -686*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 76 = 308. List the prime factors of r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10579270061 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 45896270 a multiple of 1610?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18495253 is divided by 478?\nAnswer: 477","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**3 + 1. Determine v(-4).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**2 + 4*i - 2. Let u be -3 + -2*(2 + -1). Let z be r(u). Solve 0 = -3*w - 4*a - 12, -2*w - w = a + z for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -10*d**2 - 4*d + 19. Let c be j(3). Let v = 87 + c. Solve 0*h + v*a = h, -5*a = h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 123 and 2419?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 6*r = 5*d - 145, -3*r + 109 = 4*d. Let a be 37\/d*4 + 2\/(-7). Let k = 1 + 2. Solve -n = a*t + 5, 5*n + 25 = -k*t + 2*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 542*c*g + 69*c + 5*g - 27 wrt g.\nAnswer: 542*c + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1823.84*-8.\nAnswer: -14590.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-15)\/3)\/(-3 - 2562\/(-855))?\nAnswer: 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38169*z**3 - 46488*z**3 + 73559*z**3.\nAnswer: -11098*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -18*q**3 + 5 - 4*q**4 - 2*q**2 + 9*q**3 + 10*q**3 - 7*q**4 as t*q**4 + l*q**2 + k*q + d*q**3 + c and give c.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a + 6*a = 6*x - 8*x + 8*a - 22, -5*x + 5*a - 5 = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u + 5568 = 4*l + 5567, -2*u = 5*l + 4 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**3 + 9*b**2 - 9*b + 8. Let t be 4 + (-6)\/(-4 + (-10)\/(-4)). What is g(t)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -69*a + 9. Let f be c(-3). What is the highest common divisor of f and 162?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000045344496 rounded to 7 dps?\nAnswer: 0.0000453","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8 - 6. Suppose -o*f - f = 6. Let u = 10 - f. Does 12 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide -39*4\/(-16)*4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -218*n + 130*n + 177 + 109*n wrt n?\nAnswer: 21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 82*l + 3834. Let v be t(-43). Calculate the highest common divisor of 6248 and v.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 544?\nAnswer: -1\/136","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**2 - 6*n + 3. Let w be v(-7). Let h be ((-4)\/8)\/(4\/48). Let o = w + h. Which is the third smallest value? (a) 1\/3 (b) o (c) 3 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1061, 2120, 3179, 4238, 5297, 6356?\n\"Answer: 1059*q + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 335 a factor of 215992080?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -217 - 58 + 44 + 2*x.\nAnswer: 2*x - 231","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -122*u - 9930 = -3432*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 3*j = -6*j + 174, 5*g - 930 = -3*j. What is the hundreds digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 x when two letters picked without replacement from {x: 5, a: 15}.\nAnswer: 15\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -1525 to the nearest one hundred.\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 19*d**2 + 1955*d + 10869. Determine k(-97).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2568673 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4565*t**3 + 1524*t**3 - 2566*t**3 + 4837*t wrt t?\nAnswer: -33642*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19649179.4 take away -249.909?\nAnswer: -19648929.491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - -89745.\nAnswer: 89747","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the third derivative of s**6\/60 - s**5\/12 - s**4\/12 + 5*s**3\/6 - 154*s**2. Let d be q(2). Put 5, d, -70 in decreasing order.\nAnswer: 5, d, -70","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 457850, 915699, 1373550, 1831403, 2289258?\n\"Answer: k**2 + 457846*k + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 29984 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0, -113, -2, 2\/9, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**22)**48*r\/(r*(r*r**27*r)\/r)*r*r**(11\/7)*r*r*r assuming r is positive.\nAnswer: r**(7235\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes after 8:49 PM?\nAnswer: 7:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2833 = 16*b + 3073 for b.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 2*f + 6. Let n be 46\/(-11) - (-2 - 40\/(-22)). Let x be (3 + 21\/(-12))\/(n\/(-16)). Does 2 divide o(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2018 + 5880. What is the lowest common multiple of 11 and i?\nAnswer: 42482","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that 2*g**4\/7 + 17750*g**3\/7 - 159896*g**2\/7 + 142144*g\/7 = 0.\nAnswer: -8884, 0, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 137531 - 47554. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -60081 + 17069\nAnswer: -43012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -32 (base 6) to base 8\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6297167 decades to years.\nAnswer: 6.297167","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 149 (b) 0 (c) 0.3 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k - 0*k + 27. What is the remainder when 20 - ((-8)\/8 + 5) is divided by k\/((-2)\/(-2 + 0))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13680, -13704, -13744, -13800, -13872, -13960?\nAnswer: -14064","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 8) to base 9.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*b - 4*b + 3*b)*(2*b - 4*b - 10*b) - 1 + 1 - 2*b**2.\nAnswer: -50*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10, -114, -290, -538, -858, -1250, -1714?\nAnswer: -2250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1\/10)*(b*b*b\/(b\/b**5))\/b)\/(b**(-2)\/b)**(-1\/2)*(b*b\/b**(-8)*b*b*(b\/b**(-2\/9))\/b*b)\/(b**(6\/5)\/b*b*b*b\/(b**(5\/3)*b)) assuming b is positive.\nAnswer: b**(769\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 8 - 2. What is the units digit of 2\/4*(77 + d)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1152 and 1344?\nAnswer: 8064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(1\/3))**(-24)*c**(-20)*c*c**(-15\/8) assuming c is positive.\nAnswer: c**(-231\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 18 or 9207\/5?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a + 5*a - 2*a. Let g = -157 + 273. Let m(s) = -2*s + g - 116. What is x(m(c))?\nAnswer: -4*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 4, d: 4, w: 12}. Give prob of sequence dw.\nAnswer: 12\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (-13 + (6 - -21)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 26247, 26252, 26257, 26262, 26267?\nAnswer: 26272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let m = 35.8 + -34. Let j = -1.9 + m. Let x be 6\/27 + 2\/(144\/(-7)). Which is the third biggest value? (a) j (b) -2 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-14))**25 assuming n is positive.\nAnswer: n**(-350)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 588 = 3*s + 2*t, 13*s - 4*t = 12*s + 210. Calculate the lowest common multiple of 110 and s.\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4615.508 litres to millilitres.\nAnswer: 4615508","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/4292 greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -1166*i - 2174. Calculate g(-2).\nAnswer: 158","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -1558*r. Let n(x) = -2*x**2 + 11*x + 1312. What is n(v(l))?\nAnswer: -4854728*l**2 - 17138*l + 1312","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from bbb.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -4*w - 40. Calculate the common denominator of ((-1)\/(-1))\/(14\/(-10)) and (-5)\/w*42\/10.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/((-14)\/(-4))*(-68)\/((-136)\/(-61))?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.914 + -30.7.\nAnswer: -33.614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*c - 6*c + 0*c)*(29 + 9 + 6836*c - 6840*c).\nAnswer: 12*c**2 - 114*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -38, -76, -104, -116, -106, -68, 4?\nAnswer: 116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2*f)*(3 + 533*f - 532*f - 10 + (5*f - 4*f - 3*f)*(2 - 3 + 2)).\nAnswer: 2*f**2 + 14*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 49\/350*8*5\/70\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(-13)*(-1)\/(-3)*444\/592?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**2 + 8*z + 8. Let j be a(-7). Let t be 9\/(-6)*6\/j. List the prime factors of (-34)\/t - (-4)\/18.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(1 + sqrt(13)) - (2 + -2*sqrt(13)).\nAnswer: -1 + 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 107 + -21. Solve -b = 7*p - 51 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*g**2 - 4*g**4 - 7*g**4 - 5*g**4 - 1 + g**4 - 2*g**4 in the form n*g**2 + y*g**4 + j*g + c*g**3 + s and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -2113*s**3 + 402*s - 8. Let k(o) = 2112*o**3 - 398*o + 10. Let c(p) = 5*j(p) + 4*k(p). What is the second derivative of c(z) wrt z?\nAnswer: -12702*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15611 and 67?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2, 5, 3, -18, 1006 in decreasing order.\nAnswer: 1006, 5, 3, 1, -2, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.37404 times 286?\nAnswer: -106.97544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 63481811?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 4, 45, 114, 211, 336?\n\"Answer: 14*b**2 - b - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - ((-10 - (7 + -21)) + -5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - 3 - 5 - -9 - -4.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -3*v**3 + 1. Let t(y) = 20*y**3 - 24*y**2 + 28*y + 232. Let w(l) = 8*m(l) + t(l). Factor w(n).\nAnswer: -4*(n - 3)*(n + 4)*(n + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 7*o**2. Let w = 8 - 14. Let i = 5 + w. Let t be g(i). Solve -2*v = -t*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*q**2 - 135*q**2 - 32*q**2 + 6*q**2 - 119*q**2.\nAnswer: -250*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -70 divided by -101.\nAnswer: 70\/101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add -444551584 and -103.\nAnswer: -444551687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 (base 11) in base 15?\nAnswer: e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*l**5 - 31 + 2*l**2 + 5*l**3 + 31 + (3*l**2 + l**2 - 3*l**2)*(1 - 2*l**3 - 1) + 4*l**4 - 4*l**4 - 3*l**5.\nAnswer: -7*l**5 + 5*l**3 + 2*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = l, 4*l - 2 = 3*f - 6. Suppose -f*g = 32 - 200. Let w = -30 + g. What is the smallest value in w, 5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**0)**(-3\/14)*(f**(-6\/7)*f)**(-2\/67) assuming f is positive.\nAnswer: f**(-205\/938)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 123.574 times 1\nAnswer: 123.574","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -33*j - 33. Let b(a) = -37*a. Determine b(w) - k(w).\nAnswer: -4*w + 33","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 74\/15 - 35\/6. Let z = u + 41\/40. Let f = 6 + -5. Which is the smallest value? (a) z (b) f (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/1 + 1 + -1. Find the second derivative of 9*k**2 - 9*k**2 - p*k**5 - 4*k wrt k.\nAnswer: -40*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 - (1 - (2 + 0)). Let x(w) = w**3 - 25*w**2 + 24*w + 4. Let u be x(24). Suppose z**u - 10*z**n + 11*z**5 - 6*z**5 - 5*z**3 + 9*z**4 = 0. What is z?\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 957?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) -2\/3 (b) 3 (c) -73.2 (d) 7 (e) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-1*sqrt(300) + -4)**2 + 2 + -4 + -1.\nAnswer: -320*sqrt(3) + 4813","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 5*y - 23 - 257 = 0, 5*h - 460 = -5*y. What is the highest common factor of h and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -0.7, -5, 15, -6, 0.05, 0.2?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 - -2. Let h be 2 + -6 + (1 - 0). Let s = 1174 + -1173.4. What is the nearest to s in h, 0.2, x?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*w = -12*w - 5. Which is the second smallest value? (a) 0.5 (b) 4 (c) 2 (d) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 27\/15 - (-306)\/255. Solve -a*s - x - 4*x - 21 = 0, -27 = -3*s + 3*x for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -10860000 to the nearest 1000000.\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 17 and 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:07 AM and 2:25 PM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 22 - -23032123000113?\nAnswer: 23032123000201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -9346, 1\/3, -1\/2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/(-5) - (-303)\/(-15). Let t be (-5)\/(z\/33) - (-1)\/(-4). Let n be t\/(-16)*(-1 - -1). Solve n*h = h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*u + 39*u - 3827 = -a, -5 = u. What is the greatest common factor of 47 and a?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 25*c**2 - 26*c - 3. Let y(f) = -25*f**2 + 27*f + 4. Let r(p) = -4*m(p) - 3*y(p). What is the second derivative of r(h) wrt h?\nAnswer: -50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from {e: 2, q: 4, k: 3}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:51 PM and 2:06 AM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 50 - 1?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 46? (a) -10 (b) -29 (c) -0.4 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes before 2:24 PM?\nAnswer: 9:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hawyhssshwwwhhws. Give prob of sequence ywa.\nAnswer: 1\/672","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n - 4. What is j(5)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * -703\nAnswer: -281.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -194398, -388796, -583184, -777556, -971906, -1166228?\nAnswer: -1360516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06198968 rounded to two decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-29 - 27 - 48 + 3 + 2 - 4 + (-6 + 2 + 2)*(0 - 3 + 1))*(-6*h + 3*h - h).\nAnswer: 396*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 37*b**2 - 4*b - 5. Determine a(-1).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 109415+-99\nAnswer: 109316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 20501 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 880 a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -187*m - 476 = -752 - 659. Let u = 3692\/549 + -51\/61. Is u <= m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2790 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 t be (-36)\/28 - 4\/(-14). Suppose -7*s + 16 = -3*s. Is (-2)\/(s\/134)*t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 5*l. Suppose -4*o - 2 + 6 = l. Let y be (-660)\/(-2541) + (-6)\/11. Which is smaller: o or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 55*i - 11. Suppose -l - 2*l = 79 - 112. Let r(b) = 28*b - 6. Determine l*r(v) - 6*a(v).\nAnswer: -22*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.006 - -0.106. Suppose -1 = h, 5*h = -2*y + 4*h - 5. Let f = -54 + 50. Which is the third biggest value? (a) y (b) f (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-638)\/(-232)*(-8)\/3*10\/(80\/(-12)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11435, -22871, -34307, -45743, -57179?\nAnswer: -68615","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -61 + 67. Factor -5*h**2 + o + 120 - 6 + 0 - 10*h.\nAnswer: -5*(h - 4)*(h + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6952804 and 1364?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jay when three letters picked without replacement from jjajjjjjjjyjaja?\nAnswer: 11\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 55*o**2 - 2 - 22*o**2 - 22*o**2 - 8 to the form j*o**2 + q + h*o and give q.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 - 0. Suppose -2*o = -i, 3*z + o - 17 = -z. Suppose -4*n - 4 = 2*l, z*l - 57 = 7*n - 2*n. Solve 2*h - 5 = -5*r + l, -9 = -2*h - r for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4283585 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the second derivative of p**4\/6 - 5*p**3\/6 - 11*p**2\/2 - 3*p. List the prime factors of f(6).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -3*n**2 + 3*n - 48. Let v be l(-11). Let p = -435 - v. Let o = 6 + -5. Solve 8*d + o = p*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5680\/(-32)*2*(-66)\/(-330).\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 7 + 2)*(0*l + 33017*l**5 - 2*l - 34167*l**5 - 3).\nAnswer: 2300*l**5 + 4*l + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from orjiororiorjqooiorr?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1450501013?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1365*d + 8792 = -1679*d for d.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -30.1 + 28. Let v = j - 11.6. Let i = -14 - v. Put i, -5, -1\/5 in descending order.\nAnswer: -1\/5, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*h**5 - 3*h**5 - h**5 + ((-2*h - 5*h + 5*h)*(-5*h + 4*h + 3*h) + 2*h**2 + 2*h**2 - 2*h**2 - 3*h**2 + h - h)*(19*h**3 - 4986*h + 4986*h)*(-1 + 4 - 2).\nAnswer: -96*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -10, -97 in descending order.\nAnswer: 0, -10, -97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 263*j + 251 = -4*b, -5*j - 2830 + 2837 = 4*b for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*h - 432 + 165 + 265.\nAnswer: 9*h - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2 - (5 + -7) - (3 + -42927). Suppose -p = -6*d - 942. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/o**(-14))**14)**(2\/17) assuming o is positive.\nAnswer: o**(420\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 14) in base 15?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + z)*(-1 + 3 + 5)*(3*z**2 - 5*z**2 + 4*z**2).\nAnswer: 14*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u + 1. Let p(n) = 2*n**2 + 3*n - 1. Let w be (-16)\/(-12) - (-5)\/(-15). What is w*p(z) + f(z)?\nAnswer: 2*z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**3 + 6*j**2 - 6*j + 13. Let i be x(-7). Suppose -1367 = -i*w + 673. What are the prime factors of w?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 7996*y. Let c(p) = 3*p. Calculate -5*b(x) + 9995*c(x).\nAnswer: -9995*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -4 (b) -0.1 (c) -2\/13 (d) -1.408 (e) -77 (f) -54\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 59155 and 64?\nAnswer: 3785920","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 27 + -31. Suppose 4*h + 15 = h. Sort -2, f, h in descending order.\nAnswer: -2, f, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, w: 5, j: 3, i: 3}. What is prob of sequence ir?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -114560, -229122, -343684?\nAnswer: -458246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes after 1:53 PM?\nAnswer: 1:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 3*w - 342 = 0, 139 = 2*q - q - 4*w. Let l(f) = 539*f - 4281. Calculate the remainder when q is divided by l(8).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 56216 and 32.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -2*c**2 - 72. Let h(r) = 20*r**2. What is g(h(p))?\nAnswer: -800*p**4 - 72","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.15, 246, 3?\nAnswer: 246","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1053*j**3*s*w - 6*j**3*w + 98*j**3 - 4140*j**2*s + 2*j**2 + s - 238*w - 1 wrt w.\nAnswer: -1053*j**3*s - 6*j**3 - 238","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -984, -1968, -2952, -3936, -4920?\n\"Answer: -984*j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 3) to base 11\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-62 - 120 + 20 - 118 - 105 + 68)*(4*k**3 + k**3 - 4*k**3).\nAnswer: -317*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 229340740?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z + 38. What is the remainder when 299 is divided by d(-18)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (4 + (-1248)\/(-28))\/(3\/21).\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 791*d - 1635. List the prime factors of b(76).\nAnswer: 58481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1151 is divided by 306?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -6*f - 4. Let a(d) be the first derivative of 7*d**2\/2 + 5*d - 72. Suppose -y = -2*y + 5*w + 15, 11 = -3*y + w. Give y*r(m) - 4*a(m).\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -2*t**2 - 4*t - 3. Let j be p(-2). Suppose -2*f + 15 + 35 = 0. Suppose -2*o - 3*o - f = 0. Put j, 0, o in ascending order.\nAnswer: o, j, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*w + w + 5*w - 1324 + 1108 = 0 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 229.85 to the nearest integer.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -143*w**2 + 47*w**2 + 67*w**2 - 43*w + 43*w - 16*w**2 + (-4*w + 4*w + 2*w**2)*(3 - 7 + 2) - 5*w**2 + 5*w**2 + w**2.\nAnswer: -48*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (3 - 3) + 1 - 9 - -4\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2271089323?\nAnswer: 19, 119531017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffffffhihffffffhf. What is prob of picking 3 f?\nAnswer: 143\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -16 - -18. Suppose -2*h + 4*h = j*l + 36, 3 = l. Is h a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, k: 1, s: 2, g: 1, t: 1, r: 1}. What is prob of picking 1 k, 1 r, and 1 w?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -315\/4 + 78. Suppose 4*q - 2*q = -4. Is k greater than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1338 divide 18748056?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -91b75 (base 12) to base 5.\nAnswer: -22040100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 1308*m**2 + 3 + 2 + 3*m + 0 - 1. Let f be a(-1). Suppose f = 17*h - 10*h. List the prime factors of h.\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*z**4 - 24*z**3 - 532*z**2 + z - 253231 wrt z?\nAnswer: 48*z**2 - 144*z - 1064","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -132 - -226. Suppose 0 = v + 1, h = 3*m + v + 4*v. List the prime factors of m.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 5*i - 8*u + 5*u, 48 = -2*i - 5*u + 13 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 65\/9 (b) -1\/3 (c) 3 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5019*s - 2*s**2 + 0 + 5047*s + 0 - 10066*s.\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 471, 73, -3, 4, -10, 5, 2 in ascending order.\nAnswer: -10, -3, 2, 4, 5, 73, 471","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5140498*i + 10281008*i - 5140510*i - 2*i**2.\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 - 2613a?\nAnswer: -26136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (-11 + 17 - (1 + 9))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the second derivative of 571*v**5\/20 + 859*v**4\/12 - 2*v - 757. Find the third derivative of g(r) wrt r.\nAnswer: 3426","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 25 + (-204 - (291 - 467)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 4, 0.26, -4, -3 in increasing order.\nAnswer: -4, -3, 0.26, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.492047 times 0.004?\nAnswer: 0.001968188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.1 - 0.8. Let j = y + 0.6. Let q be -5*(-1 + 0)*1. Sort q, -1\/5, j in descending order.\nAnswer: q, j, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-32)\/(-286)*((-91)\/(-52))\/(-7)*2255\/(-410).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v - 4*k + 2, -5*v + 9 = -6*v + 3*k. Let c(j) = -5*j + 2. Calculate the remainder when 33 is divided by c(v).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1330620 to the nearest ten thousand.\nAnswer: 1330000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -66\/277 - -1280\/3047. What is the fifth biggest value in -3\/5, o, 196, -3, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**3 + 3*a**2 - 4*a - 5. Give w(-5).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -1.06, -13\/3, 2, 3 in ascending order.\nAnswer: -13\/3, -1.06, -0.3, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-6)\/(-4))\/((-6)\/(-88)). Let y = i + -12. Let d = -1 + 5. Solve 0 = -t + 4*b - y - 2, 28 = -5*t + d*b for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-14)\/(-35) + 104\/140 + -1. Which is the second biggest value? (a) g (b) -0.2 (c) -40 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2*(10\/(-35))\/((-2)\/7). Does 59 divide i\/(-15) + 26615\/75 + -1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 865, -2\/7, 32, 0.14, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 18 + -25. Let l(b) = -b**2 - 9*b - 12. Let z be l(n). Find the third derivative of 15*k**5 + 24*k**2 - 11*k**2 - 7*k**z wrt k.\nAnswer: 900*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u + 24 = -4*j, -3*j - 21 = 3*u - 0*j for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**9\/j)\/j*j\/(j*j**2))**45*(j*j*j**(-2))**(-1\/8)*j**(2\/13)*j*(j*j**3)\/j assuming j is positive.\nAnswer: j**(2979\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 4521*g**2 + 4521*g**2 + 18*g + 3*g**3 to the form t + w*g + u*g**3 + f*g**2 and give w.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -4*p + 2. Let a(j) = 3*j - 1. Let i(z) = 3*a(z) + 2*h(z). Let g be (-6)\/(-27) - 870\/27. Let y be (-1)\/(-5) - g\/(-10). Determine i(y).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**2 - 8*x + 5. Let g be l(6). Let h = g + 9. Is 0 not equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 307227127 a multiple of 1244?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -31 + 25.724.\nAnswer: -5.276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q - 9. Let f(u) = 2*u**2 - 2*u - 111. Determine f(z(w)).\nAnswer: 2*w**2 - 38*w + 69","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2, -21, -48, -89, -150, -237?\nAnswer: -356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 3*r - 15 = 0. Solve 0 = 3*h - n + 9 + 11, -4*h - r*n = -5 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -c - 6*c. Suppose 0 = -3*h - 5*d + 70, -2 = -2*d + 4*d. Solve 5*a + c*a = h for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -27 + (4 - (130 - 80))\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 23424235306 - 0?\nAnswer: 23424235306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-48)\/360 + 4354\/30. Suppose z*q = 143*q + 1696. What is the hundreds digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1*(-2)\/3*(-57)\/(-38). What is the greatest common divisor of 1 and g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + l = 2*d + 9, 0 = 2*d - 2*l + 2. Let o = -9 - -13. Suppose 0 = o*u - 6 - 10, -m + 2*u - 8 = 0. Put -5, m, d in ascending order.\nAnswer: -5, d, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-33))\/((102\/12)\/(-17))\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 3*z + 0*z - 45 = 0, 5*z = -2*p + 3. What are the prime factors of p\/3 - (-14 - -9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 10) to base 4.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*r - 2*r**2 + 0*r + 122 + r**2.\nAnswer: -r**2 + 4*r + 122","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the first derivative of 3*l**5\/5 + l**3\/3 - 8. What is the third derivative of j(b) wrt b?\nAnswer: 72*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 70 is divided by ((-66)\/9)\/(((-8)\/12)\/1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 228 and -60?\nAnswer: -13680","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 525\/75*2\/(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1633 + 4?\nAnswer: -1626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1069620 is divided by 454?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 + -7. Let o = c - -8. Calculate the least common multiple of o and 3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*p = 6*p - 100. Let f = 56 + p. Suppose i - 3*i = 2*t - f, -17 = -i - 2*t. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -139*v - 2093. What is s(-15)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 705646549.\nAnswer: 59, 11960111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12290, 12284, 12278, 12272, 12266?\nAnswer: 12260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1844190 is divided by 56?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 490890421?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from odgooodgddogdopod. Give prob of sequence pd.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -33905, -33986, -34223, -34694, -35477, -36650, -38291?\n\"Answer: -13*a**3 + 10*a - 33902","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the second derivative of 134*w - 52\/3*w**3 + 3\/2*w**2 + 0. Differentiate v(z) with respect to z.\nAnswer: -104","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*g**3 - 88 + 12*g**3 - 44*g**3 + 13*g**3.\nAnswer: -3*g**3 - 88","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 13627916 to the nearest integer?\nAnswer: 239","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*u**3 - 9*u - 1194 + 5*u + 1191 - 6*u.\nAnswer: -12*u**3 - 10*u - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 - -2. Let p(x) = -2 - 7*x + o*x + 2. Let w(q) = -3*q. Calculate w(p(y)).\nAnswer: -3*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbgqgbbbbbbgbhbabbhb. Give prob of picking 1 q, 1 a, and 1 b.\nAnswer: 13\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 1 r when three letters picked without replacement from {q: 4, r: 10}.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - -9) + -650 + 646?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-119)\/(-6)*(((-12)\/(-5))\/(40\/150))\/21.\nAnswer: 17\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13\/15 + -6\/5. Let q = 0.39 + 4.61. Let t = -4.5 + q. What is the second smallest value in t, d, -2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0, 12, 183, -4, -1, -2 in descending order.\nAnswer: 183, 12, 0, -1, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57 = 4*n - 5*b, 24*n + 9*b - 2437 = 4*b - 2270 for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 97 - 489. Is k\/(-3) - 4\/6 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2408876403?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**36\/p)\/p**(-27) assuming p is positive.\nAnswer: p**62","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -2*f**2 + 6*f + 3. Let q(s) = 5*s**2 - 17*s - 9. Let m(w) = -146*w + 880. Let i be m(6). Calculate i*q(j) + 11*x(j).\nAnswer: -2*j**2 - 2*j - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 11*d + 608 = 0. Suppose -d*i + 46*i + 416 = 0. Which is smaller: -54 or i?\nAnswer: -54","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 15 = -2*k. Suppose 3*o = 2*o + k*m + 6, 2*o - 56 = -5*m. Calculate the remainder when (-2)\/9 + 634\/o is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes after 12:20 AM?\nAnswer: 6:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 361847477?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -2*v**2 - 2*v + 40. Let u(b) = -b**2 - b + 39. Let j(n) = 3*u(n) - 2*z(n). Is j(0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13027 is divided by 165?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w + 0*w - 4*w)*(-3 + 1 + 0)*(3*w**2 - w**2 - w**2).\nAnswer: 6*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w**2 + 0*w**2 + w**3)*(2*w + 2*w - 2*w)*(32 - 45 + 33).\nAnswer: 40*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 5*i + 14 = 0, -3*b + 3*i - 41 - 13 = 0. Round b to the nearest ten.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -773*j = -798*j + 675 for j.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-13*x**2 - 4 + 23*x**2 - 13*x**2)*(2*x - 4*x + 4*x) as u*x**3 + h*x**2 + v*x + y and give v.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**3 + 76*m**2 - 75*m - 384. Give y(75).\nAnswer: -384","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes after 8:06 AM?\nAnswer: 7:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = a + u - 50, -a + 20 = -u. Let v = a + -15. Does 5 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*j - 27*j + 15*j.\nAnswer: -9*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the first derivative of 23*x**2\/2 - 18*x - 16. Differentiate f(l) wrt l.\nAnswer: 23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 127360 and 800?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 4*f - 8. Let k be l(2). Which is the biggest value? (a) -1 (b) k (c) -3 (d) 2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bdpbddbebd. Give prob of sequence ebd.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2524 + 2534. Let f(n) = n**2 - 11*n - 3. What is f(q)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -260714 (base 8) to base 2.\nAnswer: -10110000111001100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 254?\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes before 4:47 PM?\nAnswer: 9:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f + 1. Let z be 17\/102 + 2*(-37)\/12. Let x(o) = -8*o - 10. Calculate z*x(j) - 60*g(j).\nAnswer: -12*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 307*x**4 + 23*x**4 - 121*x**4 + (-2*x**3 + 0*x + 0*x)*(-3*x + 5*x - 4*x) in the form z*x**2 + p + i*x**4 + r*x + u*x**3 and give i.\nAnswer: 213","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u + 4*a + 8 = -2*u, 4*u = -2*a + 14 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of m**2*p**3 + m**2*p**2 - 42650*m**2 - 2*m*p**2 - 2*m*p - 538*p**2 wrt p.\nAnswer: 6*m**2*p + 2*m**2 - 4*m - 1076","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.07417? (a) -1\/4 (b) -4\/3 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 10 = 0, -22*j + u = -18*j + 6. Let m(i) = -3*i**2 - 7*i + 2. Let g be m(j). Solve 3*d - 19 = 4*k, 3*k + k + g = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 11816334 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - -3) + -10 + 130 + -114 + -2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ayaaaayayy. Give prob of sequence aa.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/3)\/(75\/(-45))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -87*z**2 + 1740*z + 15. Determine u(20).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 637.2101ml in litres?\nAnswer: 0.6372101","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13\/78)\/((-1)\/1).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in six fifths of a millimeter?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**3 + 2*t**2 - 19*t + 11. Is n(-9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13 - 10. Suppose -10 = -8*v + 3*v. Suppose -h = v*u + 19, h + 43 = -6*u + u. Which is bigger: i or u?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 36715690?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 0 + 4 - 4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*w + 9*z + 29 = 10*z, -5*w + 2*z - 23 = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y**3 + y**3 + 2*y**3)*(-4 + 4 + 2*y**2) + (y**2 + 3 - 3)*(-27*y**3 - 23 + 23) + 2*y**5 - 227660*y**3 + 227660*y**3 + 576*y**4.\nAnswer: -23*y**5 + 576*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -22630690 divided by -22630690\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 143 - 136. Suppose -3*w + 6 = -0*w. Suppose r = -2*p + x, w*p - p + 14 = 3*r. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.4 (b) -4 (c) 1 (d) 0.3125 (e) -2.4 (f) -3 (g) -1\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 377.67 * -26.954.\nAnswer: -10179.71718","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the second derivative of o**6\/10 - 63*o**5\/5 + 1371*o**2\/2 + 1876*o. What is the derivative of n(q) wrt q?\nAnswer: 12*q**3 - 756*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 7436*v - 178412. Give g(24).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 213878 - 77562. Let z be 2\/(-8) - r\/(-24). Let k = z + -5689. Calculate the common denominator of 79\/6 and k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-17 + 0)*1\/1. What is the common denominator of a\/6*(-1 + 12\/(-33)) and -101\/2?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 9*k - 6. Let l be p(4). Let s be 22\/l - 8\/24. Factor s*y - 2\/5*y**2 + 0 + 2\/5*y**4 - 2\/5*y**3.\nAnswer: 2*y*(y - 1)**2*(y + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71.29325 litres in millilitres?\nAnswer: 71293.25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9*g*n**2 - 8*g*n - 38331759*g + 1271353*n**4 wrt n.\nAnswer: -18*g + 15256236*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -270*v**2 + 160\/3*v**4 + 1000\/3*v**3 - 35\/6 + 415\/6*v.\nAnswer: 5*(v + 7)*(4*v - 1)**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes before 7:03 AM?\nAnswer: 11:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 330033 + -1322222?\nAnswer: -332123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence euu when three letters picked without replacement from {u: 3, e: 3}.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (-1 - -5) - -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:19 AM and 9:46 AM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2610 = 2*f + 4*f. Suppose -3875 + f = 4*t. What is t rounded to the nearest 100?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -104*d**3 - 24*d + 57*d + 29*d + 43*d + 48*d wrt d.\nAnswer: -624*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the third derivative of -i**4\/6 + 5*i**3\/6 - 9*i**2 + 32*i. Let o(n) = n. Determine -2*o(g) - x(g).\nAnswer: 2*g - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/951590 and -139\/12.\nAnswer: 5709540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 - -9. Suppose -460000 = -6*l + i*l. What is l rounded to the nearest one hundred thousand?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11241 - 11241 + 2*z**3.\nAnswer: 2*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 - 13. Let x(d) = -d - 1. Let c be x(o). Solve -4*b - c = 3*k, -b + 10 = -6*b for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 - (-1 + 1))*1025\/(-25). Suppose 306 - k = 5*z. Calculate the highest common divisor of 159 and z.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-954)\/(-198) + -5 + 0. Which is the closest to -1? (a) q (b) -5 (c) 10 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 76.28 to the nearest 10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**2 + 5*g + 16. Let o(r) = -4*r + 25. Let z be o(5). Let j be c(z). What is the greatest common divisor of j and 56?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2303 and 188.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 10 = -28*x + 30*x, 0 = -5*x - v + 21. Calculate the highest common factor of 55 and x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3734, -1\/6, -5, 0.4, 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 20 - 20.18. Let c = -0.05 - q. Let d = c - 0.63. Put -0.4, 5, d in increasing order.\nAnswer: d, -0.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33923 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (21 - 6) + (18 + -27 - -8).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 19.32 - 21.32. What is the third biggest value in 0.1, 49, 0.7, 0.3, y?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -44*x**3 + 3*x + 0*x + 40 + 85 - x + 40*x**3 wrt x.\nAnswer: -12*x**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 171 and 779.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = -4*c - 6, s = -0*s - c - 2. Suppose 7 = -s*w + 2*d - 7*d, 5*w - 20 = -5*d. What is the highest common factor of w and 21?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b**2\/5 + 6358*b\/5 - 201408\/5 = 0.\nAnswer: 32, 3147","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-2))**(-12))**39 assuming n is positive.\nAnswer: n**936","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 13384, 26757, 40108, 53425, 66696, 79909, 93052?\n\"Answer: -2*u**3 + u**2 + 13384*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -2*u**2 + 2*u + 11. Let a(q) = 2*q**2 - 2*q - 10. Calculate 6*a(d) + 5*h(d).\nAnswer: 2*d**2 - 2*d - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -3875413, -7750736, -11626059?\n\"Answer: -3875323*z - 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -289*c = -292*c + 3 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 18 = -3. Suppose -152 = -2*l + 4*q, -d*l = -l + 5*q - 239. List the prime factors of (l - 0)\/(33\/22).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.044 - -78.956. Let u = 26930.933 + -27010. Let w = u + n. Round w to two dps.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3, -615.\nAnswer: -615, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppppppppppippppppppp. What is prob of picking 1 i and 2 p?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = 5*m + l, -3*m = l + 18 - 27 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 279.3 times 1.3?\nAnswer: 363.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -151*k**3 - 242*k**2 - 43*k. Let j(v) = 152*v**3 + 244*v**2 + 42*v. Let u(w) = -3*j(w) - 2*t(w). Suppose u(h) = 0. What is h?\nAnswer: -10\/7, -2\/11, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -2*w**3 + 3884*w**2 + 327890*w - 331772 = 0?\nAnswer: -82, 1, 2023","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 4*j - 124. Let k(z) = -3*z + 124. Let p(s) = 2*k(s) + 3*v(s). Let m be p(21). Solve 30 = 2*o - 4*x, 3*o = 7*o - m*x - 30 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 91*z - 113*z - 48*z - 2310 for z.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 97234 is divided by 73.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 295446, 590888, 886330, 1181772, 1477214, 1772656?\n\"Answer: 295442*u + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 + 1 + 2 + -1. Suppose 2*p - 12 = 5*p, 5*p = 4*i - 36. Suppose t*q + i*r = 2*r + 10, -r = -3*q + 7. Is q greater than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1, 4, -21 in decreasing order.\nAnswer: 4, 1, -3, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes after 3:31 AM?\nAnswer: 2:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/198)\/(20\/105*-7)?\nAnswer: -1\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**(1\/13)*u**(-4)\/u)\/(u*u*u*u*u\/(u*u**(-4)*u)*u*u*u*u**(-1\/6)) assuming u is positive.\nAnswer: u**(-1085\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2420)*1*-1 - (sqrt(2420) - (sqrt(2420) + -4 + (sqrt(2420) + sqrt(2420)*2 + sqrt(2420))**2)).\nAnswer: -22*sqrt(5) + 38716","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - u + 80 = 0, -u - 2*u = i + 16. Let j = -16 - i. Suppose -2 = 2*y - 18. Solve -3*h - h - y = j for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:31 AM and 7:16 AM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18\/(-102))\/(-5*21\/140*-4)?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 124 + -101 - ((-3 - 0) + (2 - 4) + -5).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 76931 or 76925?\nAnswer: 76925","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 38 = m - a, -4*m + 92 = -4*a. What is the remainder when 1222 is divided by m?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -20328, -20306, -20268, -20214, -20144, -20058, -19956?\n\"Answer: 8*g**2 - 2*g - 20334","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -44*5\nAnswer: -220","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*x + 3*x + n - 13, -5*x + 27 = -n. Does 6 divide (-84)\/(-15) - (-2)\/x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -z**5 - 179*z**4 - 529*z**3 - 173*z**2 + 530*z + 352 = 0.\nAnswer: -176, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -684 by 1.\nAnswer: -684","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -14 + 9. Are 3 and d nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 2*v + 4*l - 83, -6 = -3*l. Suppose 4*s + 8 = 0, -2*j = 4*s + v - 89. Let d = 55 - j. Is 6 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -3*c - 107, -q - 8 - 25 = c. List the prime factors of (-70)\/35*(c - 2).\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.7 in 2\/9, -29, -2\/3, -0.2?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-55))\/(2\/10) - (-3723)\/(-14355231)*505\nAnswer: 3\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(108) + 0)*-5 + 3 + -2)**2 + -3.\nAnswer: -60*sqrt(3) + 2698","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 9122904 divided by -11?\nAnswer: -9122904\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 396 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 949133 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 12) in base 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -168316\/7 < -24044?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 29567, 29566, 29565, 29564?\n\"Answer: -p + 29568","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -3*m**2 - 5*m + 2. Let h be z(-5). Let l be (1\/3)\/(h\/216). Let n be 3\/(-2) + (-2)\/(-1). Which is the second smallest value? (a) -5 (b) l (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3113 and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 8742*c**3 + 335*c**2 - 35*c - 11. Let f(r) = -6993*r**3 - 268*r**2 + 28*r + 9. Let i(t) = -11*f(t) - 9*w(t). Find the third derivative of i(z) wrt z.\nAnswer: -10530","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 235518 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 71177?\nAnswer: 109, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 1 = -g. Let t be 1*g\/1 - 1. Let f = 3 + t. Solve o + 1 = -f for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((sqrt(171) - (sqrt(171) - sqrt(171)*-2)*-6) + sqrt(171)) + (sqrt(171) - (sqrt(171) + 4*sqrt(171)*-1 + sqrt(171)))*5)**2 + -3.\nAnswer: 209472","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2710 + -2710. Solve 2*p + b - 8 = d, 19 = 3*p - 0*p + 5*b for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the third derivative of -4\/15*d**3 + 1\/30*d**5 + 2\/15*d**4 + 0 - 2*d**2 + 0*d. Factor a(x).\nAnswer: 2*(x + 2)*(5*x - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-142)\/50 + 3)\/(-28*(-17)\/1190)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 6*i + 1. Suppose -j + 14 = 4*v, 2*v - 3*v + 2*j = 1. Let h(o) = o + 2. Let m be h(v). Suppose m*w - 5 = -0*w. What is z(w)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 3\/4 (b) -5 (c) 3\/2 (d) -4 (e) -2\/53 (f) -833\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-3)\/(-6))\/((-1)\/(-3)). Let d be ((10\/(-16))\/(-5))\/((-440)\/704). Which is the closest to -10? (a) 0.4 (b) i (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(132)*-2 + -1*(sqrt(132) - (-2*sqrt(132) + sqrt(132) - sqrt(132)) - sqrt(132)))\/((sqrt(1200)*1*-5 - sqrt(1200) - sqrt(1200))*-1).\nAnswer: -2*sqrt(11)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -4*q + 2*l, -q + 0 = 5*l - 1. Let j = q + 1. Solve 4*a - 7 = 3*h + 24, j*h + 6 = -a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**3 + 2*j**2 - j. Let z be u(1). Suppose 8*s - 2*s - 12 = z. Suppose -3*l + 120 = s*l. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 47, 95, 143, 191, 239?\n\"Answer: 48*h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 21 - -30. Let i be (-1054)\/w + 2\/3. What are the prime factors of 202\/8 + 5\/i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/23 in 3, 1, 148?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or -3070542?\nAnswer: -3070542","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g + 10 = 5*v, -2*v + 7*g - 2*g + 13 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 20186\/37855 < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 542906769?\nAnswer: 3, 97, 1865659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 11 + -3*4\/(-12). Suppose r*a = -2*a + 70. Let n be (0 - -1)*0\/1. Sort 6, n, a in descending order.\nAnswer: 6, a, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1234, 5281, 14932, 32989, 62254, 105529, 165616?\n\"Answer: 467*c**3 + 778*c - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 299, 286, 251, 182, 67, -106?\nAnswer: -349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*p + 12502 - 151034 - 326558. List the prime factors of p.\nAnswer: 2, 37, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5\/2*(-60)\/(-50) + 1. Suppose -l*v + 9 = 1. Is 302\/(-10)*-37 + v\/(-5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.153 and -12.\nAnswer: -1.836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - 7 - (-29 + (6 - (-19 - -14))).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**3 - 2*q**2 - 69*q + 281. Give m(5).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 2, z: 6, p: 2, h: 3, d: 1}. Give prob of sequence hdhz.\nAnswer: 3\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(72)\/sqrt(9) - (1 + sqrt(72))) + 2)**2.\nAnswer: -8*sqrt(2) + 33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 51*s - 29*s - 220*s**3 - 24*s + 85*s**3 to the form y + w*s**3 + o*s**2 + n*s and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a + 2. Let d(k) be the first derivative of -3*k**2 - 10*k + 1. Let g(s) = -2*d(s) - 11*i(s). What is g(2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 5*t**2\/3 + 125*t\/3 - 140 = 0.\nAnswer: -28, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -34*k**2*v**2 + 173*k**2*v + 2*k**2 + 61622*k - 1 wrt v?\nAnswer: -68*k**2*v + 173*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1966 and -9.\nAnswer: -17694","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(4032)*1)\/(sqrt(32)\/(sqrt(40)\/sqrt(5))))**2.\nAnswer: 1008","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**4\/5 - 46374*p**3\/5 - 549559009*p**2\/5 - 55287268296*p - 7106751888080.\nAnswer: -(p + 260)**2*(p + 22927)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -2*r + 5*j, 3*r + 0 - 3 = 3*j. Suppose 0*l = 2*v - l + 65, 4 = 4*l. Let b = -32 - v. Sort r, 1, b in descending order.\nAnswer: r, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 226413.21 months?\nAnswer: 18.8677675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:24 PM and 5:15 AM?\nAnswer: 711","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let a = -414 + 738. What is the greatest common divisor of a and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (1*(sqrt(128) + 1) - (sqrt(128) + -1 + sqrt(128) + 1)))**2*3.\nAnswer: 384","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 313*y - 89. Let q be i(-21). What is q rounded to the nearest one hundred?\nAnswer: -6700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 247 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 + -4. Let j = 24 - 13. Calculate the least common multiple of j and u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 - -1)*17\/34. Suppose 7*o - 2*o - 90 = p. Suppose o*x - 14*x = 0. Solve 0 = 2*u - x*u + 4 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 4 = 6*z. Suppose -w = -z*w. Let j = 2 - 3. Which is smaller: j or w?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -1020997.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -236818168*v + 304048189 with respect to v.\nAnswer: -236818168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 507599151?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*h**2 + 1209422 - 603955 - 605467.\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/8 of a litre in millilitres?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(-2) - 16\/(-4). What is the third derivative of -93*m**2 + w*m**4 + 152*m**2 + 63*m**4 wrt m?\nAnswer: 1584*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k - 5*r + r + 490, 10 = -2*r. Calculate the greatest common divisor of k and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/15, 0, -0.09, 1\/4, 0.2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 41*r + 6. Let d(b) = -8*b - 1. Let t(g) = -11*d(g) - 2*m(g). Determine t(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.0626 + -0.0374. Let i = -9 + 4. Which is the nearest to 0? (a) -2 (b) i (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -10*g**3 - 93*g**2 - 1056*g + 943*g - 1987*g + 1125 - 35*g**2 - 167*g**2 = 0.\nAnswer: -15, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/(-7) + 7 - (4 + 0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2119063 a multiple of 167?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -705*x - 8339 = 576*x + 17281 for x.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -2928.4 to the nearest ten.\nAnswer: -2930","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 105, 104, 103, 102?\n\"Answer: -v + 106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z + 1. Let a(y) = -y - 9. Give -a(g) - 3*l(g).\nAnswer: -2*g + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**2 - d + 2. Let z(k) = -k**2 + 8*k - 15. Let y(i) = -6*v(i) - z(i). Let w(f) = f**2 + f - 1. What is -2*w(s) - y(s)?\nAnswer: 3*s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*n**2 + 1 + 2*n**4 - 9*n**4 + 4*n**4 + 3*n**2 + 21*n + n**3 in the form z*n + g*n**2 + o*n**4 + l*n**3 + v and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**2 + 4. Let l(w) be the first derivative of w - 15. Let q(c) = -7. Let a(y) = -6*l(y) - q(y). Give 2*a(s) - k(s).\nAnswer: s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -115 and 3.6502.\nAnswer: -419.773","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (-4 - 0) + 6 + 10?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 3*o + 8 = 5, 4*y - 12 = 2*o. Suppose -20*i + 15*i + 26 = y*p, -2 = -3*p + i. Factor 0 - 3\/2*w**p - 1\/2*w**3 - w.\nAnswer: -w*(w + 1)*(w + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 6*c + 1. Let g be m(-1). Put -3, 2, g in descending order.\nAnswer: 2, -3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 16 = -2*y - 0*y, 2*m = 2*y - 12. Find the second derivative of y*v**5 - 2*v**5 + 0*v**5 + v**5 + 5*v wrt v.\nAnswer: 60*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(231)\/(4*sqrt(14)\/sqrt(2)))\/((sqrt(18)\/sqrt(3)*2)\/sqrt(2)).\nAnswer: sqrt(11)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16 + 2*x - 78 - 101 + 369 - 59.\nAnswer: 2*x + 115","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 437722.236 minutes to weeks.\nAnswer: 43.424825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 66182\/(-836) + 4 + -2. Let y = 1410\/19 + d. Find the common denominator of (-549)\/31171*((-5)\/30)\/((-1)\/63) and y.\nAnswer: 1606","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes after 4:42 AM?\nAnswer: 1:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 557926 and 664.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -847*d + 2 + 605*d - 731*d - 2.\nAnswer: -973*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.574, 0, 0.8, 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12956 and 24600?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2258, -4731, -7204, -9677?\n\"Answer: -2473*s + 215","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7299*q = -7293*q + 54 for q.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 40 - 21. Suppose 3*l - 89 = 2*l - 5*t, -382 = -5*l - 4*t. What is the remainder when l is divided by g?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2 + -202)\/12 - -10. Let k(g) = -4*g**2 + g - 5. Let p(y) = -y**2 - 2. Calculate w*p(h) + 2*k(h).\nAnswer: -h**2 + 2*h + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**3 - 23*y**2 - 50*y - 33. What is r(25)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 57776*s - 57777. Determine h(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1e8e4f (base 16) to base 13\nAnswer: -551624","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 - -1.1. Let m = a + 0.4. Which is smaller: m or 0?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fo when two letters picked without replacement from {q: 5, b: 1, o: 2, f: 1}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 3.214051nm?\nAnswer: 0.000000000003214051","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1274\/(-2340) - (-40)\/400?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*t - 3*t - 180. Let u be (-3)\/(t\/(-68)) + -3. Which is the nearest to 0.1? (a) 2 (b) 2\/11 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m - 46 - 45 = 2*s - 94, 0*m + 7*m + 48 = -9*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8240 is divided by 120.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the first derivative of 13\/3*d**6 - 29 + 0*d**5 + 0*d**2 - 8*d**3 + 0*d**4 + 0*d. What is the third derivative of y(i) wrt i?\nAnswer: 1560*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 28644689 and 316.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(225)\/(-1*sqrt(5)))\/((sqrt(72)\/sqrt(4))\/sqrt(2)).\nAnswer: -sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -144*b - 54 = 1818 for b.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 4) to base 13.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14.8 - -14.5. Put t, -0.2, 4\/7 in descending order.\nAnswer: 4\/7, -0.2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 58033624?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 d, 1 c, and 1 b when four letters picked without replacement from cbbbccbbdddnaaaaba?\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73386 = 11*k + 7*k. Suppose 0 = 23*y - k + 1087. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 3*v = -5*x + 12, -5*x + 3*v + 12 = 0. Suppose -u - x*u + 28 = 0. List the prime factors of u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes after 9:57 PM?\nAnswer: 3:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*d = 40 - 274 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 2*q + 10 = 0. Let l be 9\/6 + (-9)\/q. Let b = l + 3. Sort 5, -3, b.\nAnswer: -3, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0\/(-3) - (-6)\/(-2). Let j be 3\/(9\/c)*-10. Suppose 0*q - j = -2*q. 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 nearest to 0.07? (a) -0.5 (b) 35 (c) -7 (d) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*u = -571*v + 575*v + 4, -v = 2*u + v + v - 107 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 2*o - 164 = 5*k, 2*k + 88 = 4*o. Let a be k\/30 + (2 - 0). What is the second smallest value in a, 0.1, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -92 - -94. What is the closest to 0 in 0.1, -0.02, o?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 11*l**2 - 2*l**2 - 1 + 0*l**2. Let t(r) = -4 - 2 + 3 + 2*r. Let b be t(2). Calculate a(b).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 569 = -7*m + 2*s, -4*m - 5*s = -442. Calculate the remainder when m is divided by 29.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10 and (4 + -8)*14\/(-8).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/21)\/(102\/(-2499)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -127165 + 450*f**6 - 3*f**2 + 4014*f**6 + 127026 wrt f.\nAnswer: 535680*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.1 (b) 2 (c) 14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -380 or -378?\nAnswer: -378","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65*r - 35*r = 45*r - 7170. What is the remainder when r is divided by 102?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001260497488 rounded to 7 decimal places?\nAnswer: -0.000126","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 976?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1aa (base 14) in base 16?\nAnswer: 15a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -5, -7, -134, -26 in increasing order.\nAnswer: -134, -26, -7, -5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*u + 0 - 35*u**3 + 190\/3*u**2 + 5\/3*u**4.\nAnswer: 5*u**2*(u - 19)*(u - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -8\/425 and -1\/90015.\nAnswer: 450075","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -135 + 120 + (-6 - 13) + 4 + 8 + 4?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -10300 (base 6) to base 2\nAnswer: -10101111100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is u in u**4\/2 - 33*u**3 - 347*u**2\/2 - 282*u - 142 = 0?\nAnswer: -2, -1, 71","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -3*v**2 + 2*v + 8. Let u(a) = -6*a**2 + 4*a + 15. Determine 11*g(d) - 6*u(d).\nAnswer: 3*d**2 - 2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 182943028.\nAnswer: 2, 31, 239, 6173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.09 or 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**2 - 51*a + 1219. What is the units digit of g(0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -61 + (-36 + 22 + 0 + 15 - 2)?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, k: 8}. Give prob of picking 2 k and 1 m.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**2 - 14*l + 181. What is the hundreds digit of b(17)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oyy when three letters picked without replacement from {y: 4, b: 10, o: 6}.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 - -26. Let t be o*3\/378 - (-6)\/(-14). Sort 6, -4, t in decreasing order.\nAnswer: 6, t, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oxxxooooxfo. What is prob of sequence oo?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*i**2 + 11*i**2 - 7*i**2 - 38*i)*(73*i + 3*i + 142*i)*(0*i - i + 3*i) to u + l*i**3 + o*i**2 + b*i + m*i**4 and give m.\nAnswer: 436","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - -1) + (5 - 3 - 0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/(b*b*b\/(b*b*b**(-7))))\/b)\/b**(-2\/5))\/(b**(1\/5))**14 assuming b is positive.\nAnswer: b**(-52\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*c - 59403 + 86059 = 0. Calculate the highest common factor of 14 and c.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -4*u**2. Let x(j) = j + 1. Let h(y) = 3*y + 1. Let q(v) = -4*h(v) + 7*x(v). Let c(l) = 19*l - 11. Let g(b) = 6*c(b) + 22*q(b). Calculate g(a(r)).\nAnswer: -16*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -29 divided by -6\nAnswer: 29\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 17222809 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:32 AM and 8:02 AM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes after 4:01 AM?\nAnswer: 7:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*((-21)\/9)\/((2 - -5)\/(-7))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/7 - (-19)\/(-7). Let z be -1 - (-16 - 3\/b). What is the common denominator of ((-39)\/(-9))\/(z\/3) and -151\/6?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -452 - -103540.6\nAnswer: 103088.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the third derivative of 7*s**4\/24 + 48*s**2. Let a(w) = -6*w**2. Determine p(a(h)).\nAnswer: -42*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1329700 rounded to the nearest one hundred thousand?\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vfxfgjm. What is prob of sequence vmjg?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z*z*z\/(z**(-3\/8)\/z)*z)\/(z\/(z*z*z**8*z)*z))\/((z\/(z**(-2\/5)\/z))\/(z**(1\/4)\/z*z)) assuming z is positive.\nAnswer: z**(529\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.9 - 17.9. Let l = 0.2 + -1.2. Let t = 24804 + -24805. Which is the nearest to t? (a) h (b) 0.3 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 10701314 or 10701317?\nAnswer: 10701317","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*-3 - (23 - 34461\/1197).\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 279.4 - 296. Let x = -16.5 - i. Let g be 4\/(-66)*(-4 - -1). Which is the nearest to 0? (a) x (b) -3 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9957*a - 11*a**2 - 9957*a.\nAnswer: -11*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6803 is divided by 45.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29 + -26 - (332\/50 - 2) and -34\/105.\nAnswer: 525","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 58032 and 3363?\nAnswer: 65053872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*a - 9*a = 198. Suppose 3*h + 74 = 4*h. What is the remainder when h is divided by a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -7. Let n(a) = 1606*a - 33726. Give -n(c) + 4818*x(c).\nAnswer: -1606*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1285398743 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x = -i + 179 - 193, 4*x + 7 = -2*i + 3*x for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 413.6 - 260740.4834\nAnswer: -260326.8834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 21 + 59. Suppose 0 = -v - 2, u + 4*v - d = -u. Calculate the greatest common divisor of 11 and u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k + 2*f + 16 - 28 = 0, 3*k = -2*f + 10 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/9? (a) -0.2 (b) -2 (c) -1 (d) 0.84\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 45 and 39?\nAnswer: 585","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(-6) + 10694\/6. Let t = g + 553. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**3 + 7*c**2 + 13*c - 12. Let w be 6 + (2\/(-3))\/(3\/(-9)). Calculate the lowest common multiple of 22 and s(w).\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 37\/2 of a year?\nAnswer: 222","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 268959, 4, 5, -23 in decreasing order.\nAnswer: 268959, 5, 4, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/2*5\/110*-2?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pwp. What is prob of sequence pp?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1148559 and 2366229?\nAnswer: 3291","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -93*u**3 + 132*u**2 + 198*u - 14078783 with respect to u.\nAnswer: -279*u**2 + 264*u + 198","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**2 - 12*n - 33. Let t be z(-5). Suppose -5*f - x = -242, t*x = -2*f + 4*f - 104. Calculate the remainder when f is divided by 26.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 40 + -48. Let z be (1*6)\/((-36)\/o). Find p such that -2\/3*p**2 + 0 + z*p**3 - 2\/3*p**4 + 0*p = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000128722564 to seven decimal places.\nAnswer: -0.0000129","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rir when three letters picked without replacement from riiiiirii?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-17 + -57983)\/((-2)\/(-5)). What is a rounded to the nearest ten thousand?\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 - -20?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is (4\/10)\/((-29)\/((-5936010)\/12)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12833549763+0.052\nAnswer: -12833549762.948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1555689?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 70\/(-245) + ((-8)\/(-14))\/2\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*k + 435 = 71. Which is the closest to 2? (a) -2\/13 (b) k (c) 2\/9 (d) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17328 (base 12) to base 10\nAnswer: 33296","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + (3 - 7) + (8 - 31).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 + 112 = 5*o. What is the remainder when o is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 + -1 + -7 + 7. Let i be -7 - t - (-6)\/3. Let w = 0 + -0.5. Put 4, w, i in decreasing order.\nAnswer: 4, w, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(125)*3.\nAnswer: 2 + 15*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (33 - -3) + (-55 - -22 - -17)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, l: 2}. Give prob of picking 3 l.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 132265.\nAnswer: 5, 7, 3779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1591856*a*w**3 + a*w**2 + 181*a*w - 2*w**3 - 45*w**2 - 12*w + 2 wrt w?\nAnswer: -9551136*a - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/3 - (-6 + 9)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(300) + 5)*2 + -3 + 3)**2.\nAnswer: 400*sqrt(3) + 1300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8898527 divided by 8898527.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/32*(-22 + -30) - (10 + -3). What is the closest to -80 in c, -0.04, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 + 29. Suppose -2*w + 12 = -p. Suppose -w = -4*j + 10. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + p + 11 = 0, 0*p - 5 = -4*s - 3*p. Suppose 3*m = 4*j + 140, -140 = s*j + 2*j + 4*m. Let x = j - -37. Solve 3*y = 2*y + x for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -20919 and -20484.\nAnswer: -41403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (96\/(-80)*3\/66)\/(3\/(-30))?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54948320 divided by -10989664?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000373 rounded to 4 decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*c*j*p**3 - c*j - 2*c*p**3 - 14*c*p**2 + 14*j*p**3 - j*p**2 + p**2 wrt p.\nAnswer: -24*c*j - 12*c + 84*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 5 - 6*h + 3*h**3 - 11*h**2 - 6*h + h - 4*h**3. Let d be v(-10). Solve 0 = -2*o - o + d for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1034, -1366, -1700, -2036, -2374?\nAnswer: -2714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-99 + 99 - 12*k**2)*(-3 + 1 - 1)*(-1 - 1 - 1) as x*k**2 + j + m*k and give x.\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*d**2 - 590355*d + 6493300.\nAnswer: 5*(d - 118060)*(d - 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -134.05805 to the nearest 10.\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2\/31)*c*c**9*c*c)\/(c**(-8\/3)\/((c**(-17)*c*c*c)\/c*c)) assuming c is positive.\nAnswer: c**(56\/93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tgqn when four letters picked without replacement from {k: 2, n: 2, z: 2, q: 3, g: 1, t: 2}?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 50*l**2 - 1. Let a(u) = u**2 + 5*u + 5. Let f be a(-4). Is m(f) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**3 - 2*d**2 - d + 2. Let t be y(3). Let g(w) = w**3 - 7*w**2 + w + 6. Let r be g(t). Suppose 3*v - r = v. Does 9 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 - 1 = -u - 0. Suppose -179 - 55 = -3*w. Calculate the remainder when 2\/2*w\/2 is divided by u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3888?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 2*a. Let m(k) = -2*k - 26. Let d be -3*(7 - -2*(1 - 2)). Let b be m(d). Give v(b).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51.8598955 rounded to 1 dp?\nAnswer: 51.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 3*r - 11 = 0, 0*c + c - 4*r = -10. Suppose -1 = 3*f - 2*f - 3*h, 5*h = -c*f + 9. Solve f*p - 3 = -5 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3.354 and 769.\nAnswer: -2579.226","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 46\/5 of a litre?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*n + 104 = 15*n - 21*n. What is the greatest common factor of n and 99?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4814989919 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16301 is divided by 38?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 12046, 12054, 12064, 12076, 12090, 12106, 12124?\n\"Answer: s**2 + 5*s + 12040","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 6) in base 9?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**3 + 14*r**2 - 3*r - 1. Let t be w(-13). Suppose -p - 6 + t = 0. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*a - 3*a + 18. Let z(p) = p**3 + 10*p**2 - 3*p. Let v be z(a). Solve -100*j + 2*j**2 + 249*j + v - 113*j = 0.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -12*f**2 - 2*f - 2. Let z be t(-3). Let h = -105 - z. Is h less than -1\/190?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -46 + 46. Suppose -4*z = -3*q - 2*z + 11, u = -2*q - z - 2. Let a be q*-3 + (-4 - 0). Let l(d) = -d - 4. Calculate l(a).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 348 or 349?\nAnswer: 348","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**3 - 6*l**2 - 16*l + 15. Let j be r(8). Suppose -j*f + 18*f - 2*k - 65 = 0, 2*f = -4*k + 22. Calculate the remainder when f is divided by 13.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n and 1 g when four letters picked without replacement from {g: 7, a: 4, n: 5}?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 465528480*h**3 - 379002815*h**2.\nAnswer: 2793170880","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:23 PM and 3:25 PM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 40*b**2 - 20. Let f be y(-5). Suppose f - 3535 = -7*n. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i = 24*i + 54 + 216. Let q(d) = -2*d. Let s be q(7). Let g be (s\/5)\/((-2)\/(-10)). Is g greater than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -28 - -31. Sort 0, -1, y in ascending order.\nAnswer: -1, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = -4*g - 24. Solve -5*i + 5*j - 5 = 0, -2*i + 0 = -g*j + 11 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 2*n - 6. Let p(j) = -3*j + 5. What is -7*p(z) - 6*s(z)?\nAnswer: 9*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 27, -29, -10 in increasing order.\nAnswer: -29, -10, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -17.0836 + 0.0836. Let n = -30 + 11. Let l = n - q. Is l < -19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 3948.6744us?\nAnswer: 0.000001096854","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 680814?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 1. Let r = -1177 + 1176. Let n(m) = -20*m + 4. What is r*n(t) + 4*b(t)?\nAnswer: 20*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffb when three letters picked without replacement from obfff?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 4, h: 5, r: 2, m: 5, f: 3}. Give prob of sequence wmwh.\nAnswer: 25\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.2 - -2.1. Which is the nearest to 4\/3? (a) k (b) -1 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + -6 - (22\/(-88))\/(2\/16)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 309667390?\nAnswer: 2, 5, 30966739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -658 + 233 = -5*v. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**2 + 3*n - 2. Give t(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 5*w = -37 + 220, 0 = 3*j + 3*w - 261. Calculate the lowest common multiple of 147 and j.\nAnswer: 588","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -606*c + 1. Let a(n) = 59*n**2. Give a(v(h)).\nAnswer: 21666924*h**2 - 71508*h + 59","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -27 or -60360?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9008 is divided by 566?\nAnswer: 518","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5) + -4 + (-1 + sqrt(5) - sqrt(5)) + 2*sqrt(5) + 4 - 2*sqrt(40)\/(sqrt(8)*-4 - sqrt(8)))*-6)**2.\nAnswer: -1224*sqrt(5)\/5 + 10584\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -85555\/4 or -21389?\nAnswer: -21389","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -170*k**2 - 9*k - 37. Let h be w(-3). Let j = h + 2663. List the prime factors of j.\nAnswer: 1123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 106074, 106073, 106072?\n\"Answer: -s + 106075","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:25 PM and 6:50 AM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.908 + -0.567. Let u = -0.141 + t. Which is the nearest to u? (a) 1\/14 (b) -2\/3 (c) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 4 + -3 + 4 - -3\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20952*v - 2810*v + 9044*v = -2283624 for v.\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2130.0818 and -0.4.\nAnswer: -852.03272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -14610580.81 to the nearest 10000.\nAnswer: -14610000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.830215007 times -0.1\nAnswer: 0.0830215007","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/(2*2\/(-4)). Let c(r) = -4*r - 5*r**2 + 5*r - 2 + 0*r + r**3. Let z be c(5). Is x greater than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -72.9552 and 246084.2.\nAnswer: 246011.2448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.06537358 - 8.06537058. Let h = g + 8. What is h rounded to 5 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-135)\/(-18)*270\/2025?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -181*s + 13 = 253 - 7661 for s.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (41 - 41 + 6*o)*((-3 + 3 + o)*(2*o + 1 - o - 3) - 2*o**2 - 2*o**2 + 6*o**2).\nAnswer: 18*o**3 - 12*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -272 - -509. Suppose -2*r - 2*w - 21 = -231, 0 = 4*r + 2*w - 422. Let n = i - r. List the prime factors of n.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14990052 a multiple of 462?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 7901868847 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 - -9. Let k = u + -5.1. Suppose -g + 11 = 2*p, 2*p - g + 4*g = 17. Which is the second biggest value? (a) -4\/7 (b) k (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -5*y**3 + 93*y**2 + 39*y - 38. Determine g(19).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1500*z**6 - z**5 + z**4 + 1923*z**2 - z.\nAnswer: -180000*z**3 - 60*z**2 + 24*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 30?\nAnswer: -1\/30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 + 10. Suppose 2*t + 100 = 4*n, 1706*n = 1709*n + 3*t - 39. What is the greatest common divisor of b and n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(4\/3)*w*(w*w**(-1\/33))\/w)\/(w\/((w\/w**(-1\/8)*w)\/w*w*w))**(-2\/51) assuming w is positive.\nAnswer: w**(293\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -277854, -555720, -833588, -1111458, -1389330?\nAnswer: -1667204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7098686953 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.25 - -112.25. Let f = h + -110.0026. Round f to four dps.\nAnswer: -0.0026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(5 + ((2*-4*-2*sqrt(192))**2 - (-1*sqrt(192) + -1 + 1)) + 5).\nAnswer: -196648 - 32*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001041717 to four decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the second derivative of -f**3\/6 - 3*f. Let p(a) = a**2. Give p(b(u)).\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2744 + 23*p**3 + 897 - 3641.\nAnswer: 23*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 10 = -2. Let v = d - -24. Is v a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13.2 - 13.3. Sort 0, n, -3, 3 in increasing order.\nAnswer: -3, n, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3600 rounded to the nearest one thousand?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 2*r - 3*i - 15, 2*r + i + 4 = 0. Let a be (-1)\/(-1) + 0 + 0. Sort r, -3, a in ascending order.\nAnswer: -3, r, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 131, 90, 59, 44, 51, 86, 155?\n\"Answer: q**3 - q**2 - 45*q + 176","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-3)\/21)\/(0 - -1). Let t = -66 - -42. Let w be (-20)\/t - 3\/9. Which is the third biggest value? (a) s (b) 0.3 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-5) + (-3)\/(-5). Let t = -3087 + 3087. What is the closest to b in -3, t, -11.4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*y = 4*y + 3*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-1)\/2)\/(17\/68) - 271. What is q rounded to the nearest ten?\nAnswer: -270","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -6 + 587?\nAnswer: 581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10263 and 92367?\nAnswer: 92367","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -57030648 by -5763.\nAnswer: 9896","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/21, 2\/7, -0.2, 0.07, -8?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71*h + 3911 = 9236 for h.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 11953 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence agc when three letters picked without replacement from agggcghhecghgehgghag?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -410, -498, -322, 250, 1350, 3110, 5662?\n\"Answer: 22*s**3 - 242*s - 190","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/7, -4, 23 in ascending order.\nAnswer: -4, 2\/7, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 317 is divided by 200?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20 + 28 + 18 - 3*k**3 + 84*k**2 - 67.\nAnswer: -3*k**3 + 84*k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.2 (b) 1\/4 (c) -59 (d) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1141*j + 21636 = 1232*j - 570*j for j.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13892190 is divided by 1268?\nAnswer: 1250","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 23 + -18. Suppose 3*r + 166 = k*r. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -38\/605955 and -59\/259695?\nAnswer: 1817865","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:16 PM and 12:17 AM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 - ((25 - 9) + -1)) + -5.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 6\/7 (b) 1.7 (c) -0.3 (d) 8 (e) -1.1 (f) -6 (g) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -281844790, -281844792, -281844794?\n\"Answer: -2*k - 281844788","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-3))\/((10\/(-2))\/(-30)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 118980?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h - 114*f + 109*f = -2*h + 10, -3*f = -12*f - 27 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = j - y + 22, y + 26 = 4*j. Suppose 0 = r + 4*x - 0*x + j, x = -r. Differentiate -12*k**2 + 24 - 9*k**r + 8 with respect to k.\nAnswer: -42*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 188904286?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -2*o + 15. Let b be r(6). Let q(v) = v + 4. Let p(l) = 2. What is b*q(h) - 5*p(h)?\nAnswer: 3*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4583 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**13*u\/u**(-1\/29))**(-2\/3) assuming u is positive.\nAnswer: u**(-814\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 + 100?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 610790 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + 23 + -17 + (2 - 13).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (13 + -28 + 30)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*q + 14 = q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 7*k**3 - k**2 + k. Let b be v(2). Let d(u) = -54 + b + 3*u**2. Let p(q) = 5*q**2 - 3*q**2 + 2*q**2. What is p(d(a))?\nAnswer: 36*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 4*v = 43, 0 = -3*v + v + 4. Suppose 19*a = x*a - 2. Let l(m) = -m + 1. Calculate l(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -93 - -93. Suppose -r = 3*t - k*t - 243, 5*r = -4*t + 1204. Is 15 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/10 of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.003159 rounded to four decimal places?\nAnswer: -0.0032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*c**2 - c**2 - 8*c**2 + (-4 - 3 + 5)*(-1 + 0 - 1)*(2895 + 74*c**2 - 2895).\nAnswer: 291*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 - -2. Let a be (1872\/(-14) - v)*-1. Let s = a + -133. Which is greater: s or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8775)\/(-3120))\/(3\/8) + -7?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uctcuucnnu. Give prob of sequence cu.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -5*d**3 + 162935*d**2 + 1304565*d - 24935175 = 0?\nAnswer: -17, 9, 32595","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2926\/225? (a) -0.1 (b) -0.17 (c) -3 (d) 3 (e) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12 (base 8) to base 13.\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -214.8186 - 0.4814. What is g rounded to the nearest integer?\nAnswer: -215","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9612038 and 132?\nAnswer: 634394508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (2517\/5)\/((-60)\/(-200))?\nAnswer: 2, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 2*b**3 + b. Let p(f) = 13*f**3 - 3*f**2 + 6*f - 4. Calculate -p(m) + 6*q(m).\nAnswer: -m**3 + 3*m**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 46, 89, 130, 169, 206, 241, 274?\nAnswer: 305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -3*q**2 - 27*q + 44. Let x be s(-13). Which is smaller: -111 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 942 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = 4*c + 11*c. Which is smaller: 14 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 5*u + 0*u = 0, 0 = 4*q - 2*u - 24. Solve 12 + q = z - 4*i, 0 = 2*z - 3*i - 17 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 - 1 + 14)*(0 + 0 - 1)*(38*j**3 - 8*j**3 + 3*j**2 - 11*j**3).\nAnswer: -76*j**3 - 12*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**2 + 7. Let z be s(5). Is 19 a factor of z\/27 + (-358)\/(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 11*w - 3. Let o(x) = -17*x + 5. Let r(b) = 8*j(b) + 5*o(b). Let y be (6*(-2)\/3)\/(-2). What is the remainder when r(y) is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**2 + 30*x - 945. Let l(r) = -r**2. Calculate v(l(d)).\nAnswer: d**4 - 30*d**2 - 945","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.715672 take away -0.064?\nAnswer: 6.779672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12610?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**(8\/5))\/v**2*v**(1\/12)*v\/(v*v**27\/v)*v*v*v assuming v is positive.\nAnswer: v**(-1531\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m - 5 = -o, 0 = -253*m + 246*m - 6*o - 44 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, l: 1, b: 5, n: 2}. Give prob of sequence nkb.\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (172 + 3*j - 319 + 180)*(7*j + 2 - 2)*(4 + 3 - 2).\nAnswer: 105*j**2 + 1155*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53773.\nAnswer: 53773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 47 + -9 + 10 + 5 + -17 + -2\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000036443887 rounded to seven decimal places?\nAnswer: -0.0000364","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10*p**5 - 409605*p**3 - p**2 + 992*p + 1264?\nAnswer: 600*p**2 - 2457630","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12285 - 3063 - 3094 - 3105 - 3*n**3 - 3111.\nAnswer: -3*n**3 - 88","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 216.477 - -0.523. Let q = t + -262. Sort q, 3, 3\/5 in decreasing order.\nAnswer: 3, 3\/5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2655 divided by -45\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 22 + -18. Solve -5 = n + 3*x - t*x, 4*n + 10 = -x for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -108 + 103 - 4\/(-6)*-6. Let w(f) = -f**2 - 13*f - 11. Calculate w(t).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/9, -673, 0.3?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and -2185.093.\nAnswer: -10925.465","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8.1 + -38.1. Let q = 39 + s. Let w = -10.5 - q. What is w rounded to zero decimal places?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(165)\/((sqrt(11) + sqrt(396))*-3))\/(-3*-1*sqrt(35)\/sqrt(7)).\nAnswer: -4*sqrt(3)\/63","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 142205 divided by 4.\nAnswer: 142205\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the first derivative of 126*m**6 - 26*m**3\/3 + 2*m + 926. Find the third derivative of p(i) wrt i.\nAnswer: 45360*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 17 and 51.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 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 o(r) be the first derivative of r**4\/4 + 5*r**3\/3 + 2*r**2 + 3*r + 12. What is the smallest common multiple of o(-4) and 0 - (164\/(-6) + 7\/21)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11920 and 80.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.21 - 0.229. Let f = -9.19 + 9.2. Let m = f + x. Round m to 2 dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 74*l - 59*l - 518*l.\nAnswer: -503*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + j - 846 = -790, -4*j = 16. Calculate the least common multiple of 180 and r.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9850102 to the power of 1\/3, to the nearest integer?\nAnswer: 214","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 18 + 38*v**2 + v**4 + v**3 - 9*v**2 - 32*v**2 as c*v**2 + r*v**4 + t + j*v + p*v**3 and give t.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-384)\/(-28) - 16\/(-56). What is the highest common divisor of d and 84?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*g - 21*g + 224913. Find the first derivative of -4 - g*s**2 + 17301*s**2 - 14*s**3 - 4*s wrt s.\nAnswer: -42*s**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2)\/10)\/(136\/(-1320)) - 2. Which is the nearest to n? (a) -2 (b) -1 (c) 25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 52117 to the nearest integer?\nAnswer: 228","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 152*a**3 - 79*a**3 - 4*a**2 - 87*a**3 + 4*a**2 + 643*a.\nAnswer: -14*a**3 + 643*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 94 * -0.08\nAnswer: -7.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes before 6:53 AM?\nAnswer: 4:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q. Let m(t) = 217048*t - 1. Give w(m(a)).\nAnswer: -217048*a + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**2\/2 + 707*j\/2 + 11055.\nAnswer: -(j - 737)*(j + 30)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 + -4. Let n be (4 + -1)\/((-15)\/10). Let p be n*(0 - (-6)\/(-4)). Solve p*v = k*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.255226 and 11062494?\nAnswer: 11062494.255226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 126074\/2704 + (-125)\/200?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3.7 + 4.14. Let x = -0.44 + g. Which is the closest to x? (a) 1\/2 (b) -13 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9a4e (base 15) in base 12?\nAnswer: 16b0b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15*s**2 - 6250*s + 174985.\nAnswer: -5*(s + 443)*(3*s - 79)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-v + 2*v + 0*v)*(3*v - 6*v + 11*v) + 2 - v - 2*v**2 - 2 in the form u*v**2 + d + z*v and give u.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11 - 2) + 70 + -82 - 12.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 1256 = 3*q, -q + 5*b = q - 804. Let d be (-5)\/(60\/171)*20. Let x = q + d. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 70430000 rounded to the nearest one million?\nAnswer: 70000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -2*n**2 + 98*n - 84. Let h be q(48). What is the highest common divisor of 18 and h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-12)\/(-21))\/(-5*4\/(-7910))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -2*o**2. Let k(a) be the third derivative of -a**6\/180 - a**3\/3 + a**2. Let m(r) be the first derivative of k(r). Give m(t(b)).\nAnswer: -8*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -65083*h**3 + 3*h**2 - 2618*h - 1.\nAnswer: -390498","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -369040 or -369078?\nAnswer: -369078","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i + 4. Determine f(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 26097581 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1212 + 2?\nAnswer: 1220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -57668796 divided by -9611466?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 4 = w, -5*n + 2*w = 8 - 0. Suppose n*p - 3 = -p. Solve -2*x - 2*v + 13 = p, -3*x - 25 = -5*v for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5912 - -5906. Let n(a) = -a**3 - 7*a**2 - 8*a - 6. Calculate n(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 v when four letters picked without replacement from vitttvtytttvggttvgvt?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 80\/35*(-2940)\/(-21) and 200.\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 237001006?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 15\/4 of a millennium?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 0 - 2 = 0. Let r be ((-1)\/t + 2)*0. Suppose 0 = -3*d + 4*y - 5*y + 33, r = 3*d - y - 33. Solve -2*n = -5*p + 31, 0 = -n - n + p - d for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2833*j - 1110 + 2223 - 1113 as q + r*j and give r.\nAnswer: -2833","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 73 - -31. Suppose 2*q + 4 - 10 = -2*x, 4*x + 4 = 4*q. Suppose 5*u + 25 = 0, 4*z - 3*u + x = 68. What is the greatest common divisor of s and z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1270?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -423, -444, -479, -534, -615, -728, -879, -1074?\nAnswer: -1319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the first derivative of -2\/3*v**3 + 0*v + 4 + 0*v**2. Let c(m) = 9*m**2. What is c(y(r))?\nAnswer: 36*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -35421, 4, -4, 35 in decreasing order.\nAnswer: 35, 4, -4, -35421","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in six fifths of a minute?\nAnswer: 72000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -20.39 + 20. Let m = n - -0.389938. Round m to five dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -2*f + 60. Let o(a) = -a**2 + 20 - f. Let v(h) = 2*h**2 - 6. Let d(i) = i**2 - 5. Let t(q) = 6*d(q) - 5*v(q). Determine t(o(r)).\nAnswer: -4*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 39b5 + -2?\nAnswer: 39b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 105758, 6, -0.5, -0.3, -1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + q**2 + 3)*(0 + 3 - 1) - q**2 + 3 - 3 - 3*q**2 + 3*q - 3*q.\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -2\/25, -3\/4, 13?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -96324264 divided by 72099\nAnswer: -1336","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of d**2*w + 4*d**2 + 14*d*s*w**2 + 20*d + 605*s*w - 49*s wrt w?\nAnswer: d**2 + 28*d*s*w + 605*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 623*l - 623*l + 171*l**2 - 175*l**2.\nAnswer: -4*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 n when two letters picked without replacement from {w: 1, y: 1, f: 1, n: 1, d: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(3 - 3615\/1206). What is the units digit of (-14)\/35 - (0 - z\/(-10))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bjd when three letters picked without replacement from ddbjdbbbjd.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes after 5:26 AM?\nAnswer: 10:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-18)\/(-72))\/((-3 - -2)\/(-8)). Suppose 136 = -s*a - 80. Is -108 bigger than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-3)*(-234)\/754*(-6)\/(-288)*12\nAnswer: -3\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and 1843879.3.\nAnswer: -7375517.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2156457425 by -5.\nAnswer: 431291485","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -2 + 6*y**2 + 0 - 9 + 3 + y**3 - 9*y. Let v be j(-7). Suppose v*m - 20 = m. What is the smallest common multiple of 14 and m?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0\/((-5)\/(-5)*-1). Let h(m) = 2*m**3 + 26*m**2 - 32*m - 54. Let w be h(-14). Solve w*g + i = 2*i - 11, -2*g - i - 9 = f for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*m + 0*m + m)*(-3 + 1 - 1)*(53*m**3 - 57*m**3 + 39*m**3).\nAnswer: 315*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 317397.\nAnswer: 3, 241, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 6557128?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -10*(-34)\/510*6\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 6048*j + 3247. Is d(15) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 10322*t + 203463. What is y(-20)?\nAnswer: -2977","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 3296.597 to 0 decimal places.\nAnswer: 3297","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7032?\nAnswer: 2, 3, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/63)\/((4480\/(-315))\/64)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -25 (base 8) to base 13.\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -2*g**2. Let o(u) = 1326*u. Determine o(v(q)).\nAnswer: -2652*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -63 + 64. Sort 85, 3, y in ascending order.\nAnswer: y, 3, 85","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 74496, 148965, 223442, 297927?\n\"Answer: 4*x**2 + 74457*x + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 3*w - 6746 = 0, -4*g = -7*g - 2*w + 4049. Is g at least 1345?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 7 + 151?\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 10985570 to the nearest 100000.\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n - 1. Let g(p) = -p. Let f(w) = -w**3 + 9*w**2 + w - 7. Let q be f(9). Calculate q*d(j) - 3*g(j).\nAnswer: j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -4348268\nAnswer: -1\/4348268","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-14 - -18) + 30\/(-4))*3\/(-21).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/(2 + (-38)\/20). Suppose 3*z + 14 = 4*p, -3*p + 2*z + 0*z = -a. Find s, given that 0 + 1\/3*s + 1\/3*s**p = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22, -4, -437, 2, 4\/15 in ascending order.\nAnswer: -437, -22, -4, 4\/15, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -41.82662 + -5\nAnswer: -46.82662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 15192564 divided by 12\nAnswer: 1266047","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3e (base 16) to base 13.\nAnswer: -4a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -92\/11 or -9?\nAnswer: -92\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (38*v**2 - v**3 - 38*v**2 + 4)*(3*v - 3*v - v) to l*v**2 + k*v + w + c*v**4 + f*v**3 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s - 12 = -6 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 48 = 2*h, 81 = 13*h - 9*h + 3*i. Let y be ((-24)\/h)\/(2\/9). Let p(u) = -7*u - 36. What is p(y)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 3*s - 2*d = 0, 2*s = 2*d - 4. Which is the closest to 4? (a) -5 (b) -0.4 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that 2*j**3\/9 + 33067460*j**2\/9 + 136681948519000*j\/9 - 1366822791938000\/9 = 0.\nAnswer: -8266870, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 3*p - 12. Let g be i(10). Let s be (-3 + 50\/g)*-1. Which is greater: s or -0.5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 - 7. Let z be 21\/((-81)\/24 - f). Let p = -76 + 19. Is p bigger than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 872750311.\nAnswer: 53, 2647, 6221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1354, -5, -1.2, -230 in decreasing order.\nAnswer: -1.2, -5, -230, -1354","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -44, -837924 in increasing order.\nAnswer: -837924, -44, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1201046 and 1452?\nAnswer: 7206276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1127409761 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -199*z - 592. What is l(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 2*x**2 - 10*x - 53. Let p be ((-3404)\/(-138) - 23)\/((-5)\/(-24)). Determine l(p).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 374 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**2\/13 + 60*v\/13 - 450\/13.\nAnswer: -2*(v - 15)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**(-2\/11)*s**(-2\/9)*s)\/(s\/(s*s**0)*s)**(2\/97) assuming s is positive.\nAnswer: s**(18620\/9603)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -95\/6 and 53\/171143.\nAnswer: 1026858","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 525 in -0.56, 128.6, -1?\nAnswer: 128.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5611*v - 5735*v + 11240*v + 2438 = 0 for v.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1403 + 4?\nAnswer: 1412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -119*k + 36 = -115*k. Let r(w) = -2*w**2 + 15*w + 25. Give r(k).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.91 + 3. Let u = p - 0.39. Let x = -0.02 + -3.98. Sort x, -0.2, u.\nAnswer: x, u, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1201 - -1202. Put b, 2\/3, -37, 2 in decreasing order.\nAnswer: 2, b, 2\/3, -37","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 134601107 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 24 - 23.6. Let n = -6 - -3. Which is the second smallest value? (a) v (b) 2\/7 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64860 is divided by 30?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(((sqrt(153) + sqrt(153)*-2 + sqrt(153))*3 - sqrt(153))**2 + ((1 + sqrt(153) + sqrt(153))*-6)**2).\nAnswer: -88884 - 1728*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 63\/1742 and -29\/1072.\nAnswer: 13936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -3*-2*sqrt(288))**2.\nAnswer: 288*sqrt(2) + 10372","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1577, -1576, -1575, -1574, -1573?\n\"Answer: t - 1578","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1867364?\nAnswer: 2, 107, 4363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 28 - 4 = h, -t + 7 = 3*h. Suppose -4*d + 1170 = z + 4*z, 8 = h*z. List the prime factors of d.\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) -1\/8 (c) 9 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*v**2 - 5*v**2 + 2*v**2 + 3*v**2 - 6*v**2.\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -0.3, -2\/19, -5, 2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/(-18)*725\/60*-2621. Let t = q + -7039. Calculate the common denominator of t and -26\/9.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61202106211 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 635*p - p**3 - 635*p.\nAnswer: -p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 - 1 + o)*(-7 - 3 + 2).\nAnswer: -8*o + 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 + 2 - (-4 - (-9 - 17)). Let d = 41 + -11. List the prime factors of o\/((d\/25)\/(-6)).\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 277\/(2*(-4)\/(-8)). Suppose 2*b - 98 = 2*h, -q = -7*b + 2*b - 3*h. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 68*n**2 - 12*n + 12. Let g(p) = 204*p**2 - 34*p + 34. Give 6*g(y) - 17*k(y).\nAnswer: 68*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -392, -766, -1138, -1508?\n\"Answer: i**2 - 377*i - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, 11.2, -109, 2, -4 in decreasing order.\nAnswer: 13, 11.2, 2, -4, -109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the second derivative of 25*n**7\/14 - 23*n**6\/10 - 81*n**5\/20 + 23*n**4\/4 + n**3 + 56*n + 4. Find i such that d(i) = 0.\nAnswer: -1, -2\/25, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 427767 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 9 = -3*u, -2*t + 4*u = -9 - 3. Suppose t = i - 0*i - 13. List the prime factors of i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 3 + 6)*(-3 - 1 + 5)*(0*z**3 - z**3 - 4*z**3) as v*z**2 + q*z**3 + h + b*z and give q.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes before 9:07 AM?\nAnswer: 12:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 4*((-10)\/(-1) - 0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 58\/3 of a minute?\nAnswer: 1160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -32893.5 and 4.\nAnswer: -131574","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-140)\/6 - 18\/27. Let h be (-114)\/i - 1\/(-4). Let v be 60\/42 + (-9)\/21. Solve h*c - v = 19 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -g**4*p + 51*g**3 + g*p + 30*g + 4 wrt g.\nAnswer: -12*g**2*p + 306*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h + 69 + 51. Let p be 2\/((h\/9)\/(-4)). What are the prime factors of (-80)\/24*p\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand u + 3*u - 3*u + 5*u - 4*u - 2*u + (-2 + 1 + 0)*(2*u - u + u) - u - 2*u + u + (-39 - 6 + 4)*(-u - u + 0*u).\nAnswer: 78*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 33 = 3*o. List the prime factors of o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -260065 + 260065 - 47*y.\nAnswer: -47*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2223.579 rounded to the nearest 100?\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the first derivative of -7\/2*q**2 + 63 + 1\/3*q**3 + 6*q. Let m be 6\/6 - (-3 + 0). Calculate t(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -549, -1114, -1669, -2208, -2725, -3214, -3669, -4084?\n\"Answer: b**3 - b**2 - 569*b + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 956040 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 - -77.05.\nAnswer: 80.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -1981, -0.02, 3?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i - 5 = i. Is 2\/(5 - i)*142 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 c, 1 n, and 1 z when four letters picked without replacement from ntyzyznaycaa.\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3959 and 7811?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j*j*j\/(j\/(j**(-1)*j))*j)*j)**6*j\/j**(-1\/2)*j*(j\/(j**(1\/4)\/j))\/j assuming j is positive.\nAnswer: j**(-11\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.014 * -129420.\nAnswer: -1811.88","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let w = 12 + -6. Suppose -3*a = 3*s - 12, -3*a + 8*a = 3*s - 4. What is the smallest common multiple of w and s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/(-10))\/(((-12)\/(-175))\/((-1332)\/(-2220))).\nAnswer: -21\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 677.9586 centuries to millennia.\nAnswer: 67.79586","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.14 + 0.06. Let h(a) = a**3 + 6*a**2 + 1. Let x be h(-6). Let k = 117\/140 + -3\/35. Sort t, k, x in ascending order.\nAnswer: t, k, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8347070 is divided by 25371.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 9) to base 4.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-5)\/4 - (-4)\/16. Let y be (9\/18)\/(a\/(-8)). Let m(l) = l**2 + 3*l - 2. Let k(u) = -u**2 - 4*u + 3. Let v = -154 + 160. Give v*m(n) + y*k(n).\nAnswer: 2*n**2 + 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 67650.12 tonnes in milligrams?\nAnswer: 67650120000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = 2*u - 10, -k - u = -6*u - 2. Is 35 a factor of (-1 - k - -4) + (-1578)\/(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 300*j - 609*j + 310*j - 1. Let z(q) = -q + 10. Give -6*d(o) - z(o).\nAnswer: -5*o - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vuhuuhhhhvuhh. What is prob of picking 1 v and 1 u?\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**3 - 12*s**2 - 7*s + 57. What is y(-7)?\nAnswer: -139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 384, 915, 1332, 1581, 1608, 1359, 780, -183?\nAnswer: -1584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1011100001001111 (base 2) in base 6?\nAnswer: -1002235","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -244, -4, 5.\nAnswer: -244, -4, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1404 + -444324?\nAnswer: -1001233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k - 3*v + 21, 5*k - 48 = -4*v - 16. Suppose -4*a - k = -4*q + 2*q, -2 = -2*a. Let h be q\/6 + (-26)\/(-6). Put h, -4, 3 in descending order.\nAnswer: h, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.2 and -1398?\nAnswer: 1398.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*k**3 + 22484724*k**2 + 31597664592396*k - 31597687077124.\nAnswer: 4*(k - 1)*(k + 2810591)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 5) + 8 - -1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -15*b*r**3 - 20*b*r - 2064*b + 3*r**3 - 2*r**2 + 2*r + 22179 wrt b.\nAnswer: -15*r**3 - 20*r - 2064","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**3 - 5*n**2 - 2*n - 5. Let w = 5 + -10. Let a be q(w). Solve 1 = -t - a*i, i + 1 = -t + 2*i for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.202 - -0.098. Which is smaller: k or 33?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -44, 18, -6 in ascending order.\nAnswer: -44, -6, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r + 56 = -50*w + 54*w, 2*r = w - 19 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 266084?\nAnswer: 2, 7, 13, 17, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 18 = 2*l, -2*j - 3*l + 9 = 27. Let z be 4 + (2\/j - (-750960272)\/(-72)). Round z to the nearest 1000000.\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21 + 122?\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -724854*w**2*x + 5*w*x + w - 481 wrt w?\nAnswer: -1449708*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -17603176 by 4.\nAnswer: -4400794","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Is 5663663 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 4*p - 9*p + 25, -14 = -3*g - 2*p. Suppose -3*o = -3 + 18. Let z(k) = -9*k - 5. Let x(d) = -11*d - 4. Let h(y) = g*x(y) + o*z(y). Give h(-8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 324 a factor of 18531916?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + m = -55 - 75, r - 5*m = 50. What is the first derivative of -50*h**3 + 65 + 25*h - 19*h**3 - r*h wrt h?\nAnswer: -207*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + q = 17, q + 7 = -0*s - 4*s. Does 21 divide 161 + -10 + -1 + s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -22*z + 17*z + 135. Suppose -37 - z = -f. What is the tens digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -14*g - 19. Let j be (-495)\/55 - 15\/(-1). Calculate n(j).\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 19753246?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3729 is divided by 1815.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.08 - 495311136.6.\nAnswer: -495311136.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 52 and 12.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the second derivative of s**4\/12 + 2*s. Let r(b) = b**2 - 2*b - 2. Let c(u) = 5*u**2 - 10*u - 9 - u - 2. Let x(p) = -2*c(p) + 11*r(p). Give x(d(y)).\nAnswer: y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h**3 + 106*h**2 + 2676*h - 110160 = 0. Calculate h.\nAnswer: -34, 27, 60","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1682*b**2 - 1649*b**2 + 4955*b**2 - 1645*b**2.\nAnswer: -21*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = -0*r + 3*r + 18, 3*r - 2*d + 9 = 0. Let j be r\/((-3)\/(-111)) - 0\/(-2). What is j rounded to the nearest 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-27)\/(f\/(f*f**(-7\/2)*f)) assuming f is positive.\nAnswer: f**(-59\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*sqrt(98)\/sqrt(2))\/(sqrt(7) - (sqrt(448)*2 + sqrt(7)))*3)**2 - (-2 + (-2*sqrt(77)*4)\/sqrt(11)*6).\nAnswer: 2087\/256 + 48*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 49648?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1719 and 4626.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = d + 230412, 5*d + 1152038 = 3*v + v. Is (-8)\/(-6)*d\/(-88) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41666201*d**2 - 83332395*d**2 + 41666195*d**2.\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 8\/(-20)*(-7 + -3). Suppose m*z - 4*w - 9750633 = 1089379, -3*w = -2*z + 5420009. Round z to the nearest 1000000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3375643\/18 - 187591. Let z = -317\/6 - g. Put 0.3, 1\/7, z in descending order.\nAnswer: z, 0.3, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express n**3 + 158*n**2 - 1 - 103*n**2 - 56*n**2 + 46*n**3 in the form a*n + h + s*n**3 + m*n**2 and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*y - 8 = 8*y - p, 20 = y + 5*p for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*n - 10*n - 4*n - 368 = -74 for n.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 90 = 5*y, 3*p + 2*p - 81 = -4*y. Suppose -d = 5*q - 430, -3*d = -13 - 2. Let b = 124 - q. What is the remainder when b is divided by y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 26837\/14 + -1915. Suppose 6*m - 3*m + 15498 = 0. What is the common denominator of l and m\/(-264) + 6\/33?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**6\/(a*(a*a**(-2\/9))\/a*a))\/(a\/a**(2\/3))**11*((a**(1\/3)*a*a)\/(a**0\/a))\/((a*a\/(a\/(a*(a*a**3)\/a)))\/(a\/a**7)) assuming a is positive.\nAnswer: a**(-64\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -493.602 rounded to the nearest ten?\nAnswer: -490","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000125 rounded to six decimal places?\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-7)\/(-2)*(-28)\/(-49). Suppose u - r*o = o + 10, -2*o = -u + 5. Let v be (-4)\/u - (-672)\/35. What is the greatest common factor of v and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1333735, -1333748, -1333761, -1333774, -1333787?\n\"Answer: -13*d - 1333722","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 6*d + 1. Let u(t) = t**3 + 6*t**2 - 15*t + 6. Let m be u(-8). Give q(m).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 4 = 7*z - 4*w, z - 2*w + 4 = 0. Suppose 0*l - 2*y = 5*l - 557, 4*l - 436 = -z*y. Suppose -l + 14 = -u. What are the prime factors of u?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let q be -8 - 25\/(-5) - -243. Calculate the highest common divisor of q and 84.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-14 + 7*u + 14)*(-17 + 248 + 152) as r + p*u and give p.\nAnswer: 2681","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes after 6:00 AM?\nAnswer: 2:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-11 + 33 - 10 - 12 - 1097*r**3)*(-7 - 2 - 1)*(3*r + 0*r - 4*r) as i*r**4 + j*r**3 + p + b*r + m*r**2 and give i.\nAnswer: -10970","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 + -2. Let x = -5\/687 + -1319\/7557. What is the biggest value in v, -3\/2, x, 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.48111 decades in months?\nAnswer: 57.7332","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1127 is divided by 276?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 3*t**2 - 3. Let f(p) = 13*p**2 - p + 1. Let a(j) = 38*j**2 - 3*j + 3. Let s(n) = 2*a(n) - 6*f(n). Give o(s(w)).\nAnswer: 12*w**4 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1908 * 1446\nAnswer: -2758968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2*f - 2)*(9 + 5*f - 9 + 2*f + 3 - 3 + (-1 - 2 + 4)*(-3*f + 4*f - 2*f) + 0 + 2*f + 0).\nAnswer: -16*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/15, -0.15, 6364, 2\/51 in descending order.\nAnswer: 6364, 2\/51, -2\/15, -0.15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.4, -5, 475, -2\/17, -0.4, -4, -19?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 + -1)\/(45\/(-90)). Let i(n) = -120*n - 121*n + 239*n - k. Let u(m) = 2*m + 4. What is 7*i(b) + 6*u(b)?\nAnswer: -2*b - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 321683, 321439, 321033, 320465?\nAnswer: 319735","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1006 is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*d - 0*d - 4473. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -433223 (base 5) to base 3\nAnswer: -202022122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17333 is divided by 105?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -1, 180, 15 in descending order.\nAnswer: 180, 15, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 24 and 1544?\nAnswer: 4632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6811 or 13?\nAnswer: 6811","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12 - 3)\/(81\/504).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-69)\/20 + (-7)\/(-28) + 3. Let b = -11272.25 - -11272. What is the smallest value in b, -0.3, l?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 44*s + 1. Let x be h(1). Let n = x + -40. Let d = -0.88 + -0.12. Which is the nearest to -1? (a) d (b) n (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 - -9. Let w be (-2)\/(-9) - (-122)\/18. Let m(z) = z**2 + 7 - q - w*z + 4. Give m(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -9*m + 18. Let x be j(6). Let c = -25 - x. Calculate the remainder when c is divided by 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -4*f + 2*f**2 + f**3 - f**2 - f**2. Determine r(3).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-10 + (-31)\/(-3))*(-9)\/(-2). Put x, 1, -8, -2 in ascending order.\nAnswer: -8, -2, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/50*(-1)\/(((-120)\/(-5900))\/(-6))\nAnswer: -59\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -8107, -32262, -72517, -128872, -201327?\n\"Answer: -8050*k**2 - 5*k - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 26849 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 45710084 a multiple of 1561?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - 23) + (-5 - -11 - 5)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.06, 0.898, -0.3, 32, 3 in increasing order.\nAnswer: -0.3, -0.06, 0.898, 3, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-26 - 2925\/(-130))*2\/(-182)?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 147*i**3 + 149*i**3 + 140*i**3 - 438*i**3.\nAnswer: -2*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 574c + -8?\nAnswer: 5744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 14\/9 in -2\/15, -2\/11, -23, -0.044?\nAnswer: -0.044","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, i: 1, f: 2}. Give prob of picking 1 f and 2 j.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pppcpcpppppppppc. What is prob of picking 3 c?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in b**2 + 3*b**2 - 4*b**2 - 4*b**2.\nAnswer: -4*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 10 = 2*q, -u + 0*u - 3*q = -11. Put u, 0, 5 in increasing order.\nAnswer: u, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mk when two letters picked without replacement from {n: 4, t: 2, k: 2, m: 4}?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -125 = -3*j + b, 3*j - 3*b - 102 = 21. Suppose 16*x = j - 10. Let g(l) = 3*l + 3. Let t(q) = -3*q - 2. Let a(f) = 5*g(f) + 6*t(f). Give a(x).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.18784 bigger than 2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g - 4*b - 752, -4*g - 11*b + 6*b = -761. Let o = 193 - g. Solve -3*s + 5*k + 32 = 0, -2*s - 4*k - o = -k for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 660 - 15839\/24. Let u(z) be the third derivative of 0*z + 4\/3*z**3 - v*z**6 + 0*z**4 + 0 + 0*z**5 + 3*z**2. What is the derivative of u(w) wrt w?\nAnswer: -15*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -32, -120, -264, -458, -696, -972, -1280, -1614?\nAnswer: -1968","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 311, 511, 653, 707, 643, 431?\n\"Answer: -5*p**3 + p**2 + 232*p + 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 8*z**2 - 486*z - 8. Let d(p) = 4*p**2. Determine c(d(w)).\nAnswer: 128*w**4 - 1944*w**2 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41*d**3 + 15*d - 37*d**3 - 13*d + 56*d**2 + 117.\nAnswer: 4*d**3 + 56*d**2 + 2*d + 117","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 6*n - 36. Suppose -5*o + 720 = n*o. What is the tens digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0913*4.4\nAnswer: -0.40172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 375 less than -2?\nAnswer: -377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + c = 10, 0 = 4*b - 4*c + 72. Let j = b + 50. What are the prime factors of j?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12512 and 2737.\nAnswer: 391","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2321?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*y + 3*q + 3 = -7*y - 10*y - 2, -4*q = -4 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 145, 148, 147, 142, 133, 120, 103?\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -221.88 - -1554.\nAnswer: 1332.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 48 and 376.\nAnswer: 2256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0 - ((4 - 3) + (-117)\/143)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 36, 74, 112, 150, 188, 226?\nAnswer: 264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2956 + 4*k**2 - 2956.\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3833\/4 + -959. What is the nearest to 2\/7 in t, -23, -3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -4*j + 132164, 4*j + 5*t = -j + 165220. Round j to the nearest 1000.\nAnswer: 33000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 + -1. Let v = -3 - f. Let k(d) = -4 + 3*d + 5 + 2 - 5*d. Give k(v).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 2*i**2 - 9*i - 24. What is the units digit of b(10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -190*h = -2839 - 1721 for h.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 + -1. Let h be 0*i\/(-6) + 2. Suppose c = -c - h. Let p(r) = 7*r**3 - r. Calculate p(c).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 165 = 3*w - 2*h, w = 5*h - 51. Let q = 58 + w. Solve 5*f + q = 7 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 2*u - 31 = -2*s, 0 = -s + u + 18. Calculate the common denominator of -83\/16 and s.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.263 - -0.037. Let i = 0 - 0. Which is the nearest to -1\/2? (a) i (b) -0.3 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 - 3 + (0 + 1 + 3)*(-4 + 2 + 1))*(t - t - t + (-5*t + 0*t + 3*t)*(-2 + 5 - 5)).\nAnswer: -18*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are 3 and 9969\/5578 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -31\/18 - -20\/9. Which is the smallest value? (a) z (b) -1 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -444, -364, -282, -198, -112, -24?\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.3 (b) 10 (c) -2 (d) -582 (e) 0 (f) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 841316?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 5*v. Let f be k(1). Let n = 76 + -51. Solve 4*z - n = -f for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 - -3. Suppose 0 = 2*f - 6. Let x(n) = 0 + 2 + n - f. Give x(y).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 7*d = -v - 36, -4*d = -5*v + 12. Calculate the common denominator of -3\/10 and d\/(-52) - (-256)\/26.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 190 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.06 - 2684691.\nAnswer: -2684690.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45 = -1757*f + 1762*f, m - f + 12 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2222515327?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 42, 84, 128, 174?\n\"Answer: r**2 + 39*r + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 41415402?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5.9 + 0.1. Let o = 18 - 26. Let j = o + p. Is 0.1 equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1694 divided by -11?\nAnswer: -154","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(-4)*50\/(-5). Solve -x + 5 = x + y, 0 = 2*x + k*y + 7 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the first derivative of -z**2\/2 - 2*z - 1. Let x be n(2). Let k be ((-330)\/x)\/((-3)\/(-6)). Calculate the greatest common divisor of k and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*k - 20, -83*k + 86*k = -u + 17 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20359225 is divided by 27?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 571199?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 2*u = 0. Suppose 2*o + o - 18 = u. Solve 3*y = 5*a + 16, -o = y - a + 5*a for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -14743, -14765, -14787, -14809?\n\"Answer: -22*l - 14721","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 11*m**2 + 69*m + 117. Is f(-21) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 954 = -165*g + 5244 for g.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 5 = 12*r - 17*r, 95 = 5*d + r. What is the smallest common multiple of d and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*v - 129 = -2*t, 54*v - 58*v + 18 = -3*t. Solve t*r + 79 - 25 = 0 for r.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t\/(t\/(t*(t**13\/t*t)\/t)*t)))\/t*t\/t**12)\/(t*t\/t**10*t*t**(-2\/9)) assuming t is positive.\nAnswer: t**(-142\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 43130357*c**3 - 53289414 with respect to c.\nAnswer: 129391071*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1605 + 5127. Is 50 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -759, -761, -763, -765, -767?\nAnswer: -769","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1*((-35)\/25)\/(-7)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 101*j - 2544 - 626 = 567 for j.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1187928, 1187927, 1187926, 1187925, 1187924?\n\"Answer: -m + 1187929","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1762862 is divided by 10249.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -29 - 16a81?\nAnswer: -16aaa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -126591*p**2 + 129435*p - 2844.\nAnswer: -3*(p - 1)*(42197*p - 948)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -9 + 11 + 28 + 6 - 551*g + 2. Let i(f) = 110*f - 7. Let p(l) = -19*i(l) - 4*n(l). What is the derivative of p(r) wrt r?\nAnswer: 114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15\/75)\/(3\/(-3)).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f + 10. Let g be a(5). Let q(b) = b**3 - 6*b**2 + 6*b - 6. Calculate q(g).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q + 5*x - 58, 44*q + 36 = 45*q + 5*x. Solve -2*k - 13 = -q for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -67.64763 rounded to zero decimal places?\nAnswer: -68","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 367 by 35.\nAnswer: 367\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 36*h**3 - 4*h**3 - 355 + 361 wrt h?\nAnswer: 96*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.09 + 0.59. Sort r, 0.3, 2 in decreasing order.\nAnswer: 2, r, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.05, -1696, -3\/7, -3 in decreasing order.\nAnswer: 0.05, -3\/7, -3, -1696","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*(p**36\/p)\/p)\/(p\/p**27*p) assuming p is positive.\nAnswer: p**60","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.11 + -0.51. Let y = 26 - 22. Suppose -y*r - 2 = 5*u - 2*r, -3*u = r + 2. Put -3, b, u in decreasing order.\nAnswer: b, u, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10*t**5 - 2*t**4 + 40*t**3 - 74*t**2 - 3*t - 2 wrt t.\nAnswer: 600*t**2 - 48*t + 240","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 487?\nAnswer: 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + 0 + -33 + 14 + 5.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q**3 + 870*q**2 + 63651*q + 1382976 = 0. What is q?\nAnswer: -192, -49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 384 = -12*i - 16*i - 4*i for i.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -3*i**2 + 72*i - 14. Let d(v) = -10*v**2 + 215*v - 43. Calculate -2*d(a) + 7*m(a).\nAnswer: -a**2 + 74*a - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 9 + -4 + 1 + 0\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o + 11 + 4, 5*i - 1795 = 2*o. What are the prime factors of i?\nAnswer: 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (241 - (377 + -149)) + (-90 - (0 + (-1 - -2)))\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 - 4. Put l, -12, -5 in decreasing order.\nAnswer: l, -5, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -109608675750 - 0.5.\nAnswer: -109608675750.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -4*4\/(-64) + (-28)\/(-80). Are 4 and w equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve b - 4*q + 34 - 7 = -0*q, -5*b + 17*q + 39 - 153 = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -17*r**2. Let t(d) = -30014*d**2. Calculate k(t(c)).\nAnswer: -15314283332*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k. Let g(c) = -42*c + 5. Determine g(j(w)).\nAnswer: -42*w + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 s, and 2 e when four letters picked without replacement from {s: 1, e: 2, p: 8, t: 1, o: 3, m: 3}?\nAnswer: 2\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 902368500 a multiple of 660?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*x + 12 = -43*x + 81*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 1\/2910621?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 2, 10 in decreasing order.\nAnswer: 10, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/9 + -1)\/((-261)\/27)?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21332, 21200, 21068?\nAnswer: 20936","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 55 + ((-6)\/(-8)*4)\/(-53 - 1962\/(-36))\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.18 plus 3?\nAnswer: 2.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1b1067 (base 13) to base 12\nAnswer: 292002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4176 is divided by ((-176932)\/568)\/((-14)\/4).\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9\/(18\/(-4)) - (-269)\/1 is divided by 27?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10343633 and 15283?\nAnswer: 493","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8148*f*z + 4270*z with respect to f.\nAnswer: 8148*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 30*z**4 - 48*z**3 + 2*z**2 + 40999*z wrt z.\nAnswer: 360*z**2 - 288*z + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -4*z**2 + 29*z - 10*z + 12*z**2 + 16 - 12*z. Calculate the remainder when j(-3) is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -20 + -9. Let s = i - -34. Solve -5*y - 15 = 0, 5 = -s*r - y + 7 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -402.41 * 0.1.\nAnswer: -40.241","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 4*a**2 - a - 2. Let w(q) = 13*q**2 + 26*q + 92. Let v(c) = 3*m(c) - w(c). What is v(-25)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/((12\/(-42))\/(1 - -1)) - 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -45626941.700109 + 45626917. Let o = -24.7 - g. What is o rounded to 5 decimal places?\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**3 - 2*w**2 + 7*w + 4. What is g(0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -51 greater than -49?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -0 + 4. Let a = -1.2206 + -2.7794. What is the smallest value in a, j, 5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-12)*5\/((-30)\/4).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -15 - 135567?\nAnswer: -135604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(2\/5)*a)**2*(a\/a**(1\/4))**(8\/19))\/((a**(-1\/10)*a**(-5))\/(a**1*a)**30) assuming a is positive.\nAnswer: a**(13341\/190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -2 + (-1021)\/(-482) + 1\/(-16)*2 and -21\/3856.\nAnswer: 3856","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 129\/470 and 119\/1662.\nAnswer: 390570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 25 = -5*t + 35, 4*t - 5*j = 69. Suppose 0 = -5*f - k + t, 2*f + k = -0*f + 2. List the prime factors of f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 457104?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 26496 and 26496?\nAnswer: 26496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 195 a factor of 195188409?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = -c - 3*u, -13*c - 5*u + 28 = -10*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -112639800 divided by 103150.\nAnswer: -1092","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6\/5, 2, 29841.6, -1\/8 in decreasing order.\nAnswer: 29841.6, 2, 6\/5, -1\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -143328 - -2?\nAnswer: -143326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -3261, -12189, -27069, -47901, -74685, -107421, -146109?\n\"Answer: -2976*r**2 - 285","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v - 0*v + 25. What is the remainder when 74 is divided by v?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 48 and 174390896?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n - 10*n + 252. What is the remainder when 137 is divided by n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 520 is divided by 58.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 103.2 or 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3866?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/11, 4\/11, 452, 1\/2, 2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 22704943*h*j**4 - 16*h*j**2 + 9*h + 2982*j wrt j.\nAnswer: 544918632*h*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 10\/6 - (-4)\/12. Suppose r = x*r - 4*q - 37, -5*r + 109 = -q. Let m = r + -6. List the prime factors of m.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1000110011001 (base 2) in base 9?\nAnswer: 6155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -i**2\/7 - 2012*i\/7 - 1012036\/7 = 0.\nAnswer: -1006","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c + h - 850, 2*h = 3*c + 2*c - 1056. Suppose -3*s - c = -5*a + 115, -67 = -a + s. What is the tens digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 256, 254, 252, 250, 248, 246?\nAnswer: 244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 568*v**4 - 794*v**2 + 794*v**2 - 49 with respect to v.\nAnswer: 2272*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3629*0.2\nAnswer: 725.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 770?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 88699393 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 3*w + 12, -2*r - 19 = -w + 6*w. Suppose -5*g = -r*d + 50, d + 47 = 4*d - 2*g. Calculate the greatest common divisor of d and 60.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1a5bb (base 13) to base 16.\nAnswer: -c94a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vqv when three letters picked without replacement from {v: 8, q: 1, e: 5, c: 5}.\nAnswer: 28\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101100001 - -11010?\nAnswer: -101000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24387*g**2 - 25364*g**2 + 53571*g**2.\nAnswer: 3820*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12627 + -12629. What is the biggest value in -18, i, -0.2, -4, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -333*g**4 + 72*g**3 + 39042*g**2 - 4*g wrt g.\nAnswer: -7992*g + 432","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 1624*c**2 - 392*c - 196. Let i(s) = 25*s**2 - 6*s - 3. Let j(z) = -392*i(z) + 6*u(z). Let a(f) = f**2. What is j(a(h))?\nAnswer: -56*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k + 4*b - 15 + 111, -k - b = -12. Suppose k = -0*i - 2*i. Let q be 16\/10 - i\/20. Solve f - q*f = -2 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/((6\/2)\/228) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 209392 a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 2*d - 3*y + 72 = 0, 0 = 3*d - y - 76. Calculate the greatest common divisor of 2 and d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vjhvldvvhllllvlll. Give prob of picking 1 h, 1 l, and 2 v.\nAnswer: 8\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -3371839 and 63?\nAnswer: 3371902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the first derivative of a**6\/9 - a**4\/2 - 4*a**3\/9 - 4. Suppose o(y) = 0. Calculate y.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -40.19 - -40. Let l = c + -21.81. Let p = 22 + l. Is -1 less than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -234*f - 3818 = -5222 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 31*g + 575. Let i(b) = 10*b + 195. Calculate 19*i(h) - 6*x(h).\nAnswer: 4*h + 255","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 39*h - 1. Let l(i) = 332150342 + 4*i**2 - 332150335 - i**2. Determine l(n(v)).\nAnswer: 4563*v**2 - 234*v + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1903 - -5391. Let x = m - -2842. Suppose x = -4*o + 7*o. What is o rounded to the nearest 100?\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1711 - 265?\nAnswer: -2076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -1\/5, 3\/994, -17 in ascending order.\nAnswer: -17, -1\/5, 3\/994, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 7 + 481c3d?\nAnswer: 481c46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}