{"text":"Question: Solve 2*l = -u - 13, -5*l + 3*l - 119 = -10*l + 5*u for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*u - 4*u + 6*u)*(496*u**2 - 2*u**4 - 972077*u + 972077*u).\nAnswer: 2*u**5 - 496*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 651053 (base 7) in base 13?\nAnswer: 3c6cb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 86871 = -13*a + 7*a + 29*a. Is 8 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.018 * -5282\nAnswer: 95.076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-16)\/12)\/((-28)\/(-12))?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qqxn when four letters picked without replacement from xkqxffqnkxkqfxkfxzff?\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (54120\/360 - 144)*(-3 - 0 - 0)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*b - 12 = -b. Suppose -4*j = -3*o + 9, 2*j = -b*o + 2 + 7. Suppose 5*f + o*q - 41 = 0, -4*f + 2*q + q + 22 = 0. List the prime factors of f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((270\/(-36))\/(6\/8))\/(4\/(-2))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express (n - n - 4*n)*(-1 + 3 + 0) + n - 4 + 4 + (3 - 5 + 4)*(-3 + 3 - 2*n) in the form m*n + b and give m.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*-6*sqrt(66)\/sqrt(2)*-5)\/(-1*-2*sqrt(1323)).\nAnswer: 20*sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -15.01, -2\/3, -27, -6\/7, 6?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1542 + 138 = 105*i for i.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -2332697183949 minus -0.2?\nAnswer: -2332697183948.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1225498 and 194?\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = -y**3 - 4*y**2 + 4*y + 4. Let d = -37 - -11. Let r = d + 21. Give b(r).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 2186 + -1076. Let z = p + -571. Let w = 539.598 - z. Round w to two dps.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 1185053 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c + x + 4*x = 217, x - 1 = 0. Let i be 3\/9 - 110\/6. Let q = i - c. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -14 + (63 - 54 - (3 + 3 + -4)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = k - 2*x - 386, -4*k - 3*x = -6*x - 1544. Suppose 0 = j - 0*j + 4*y - 183, 2*j + 4*y = k. Is j a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = -4*s + 17. Suppose -38*z = -44*z + 12. Let o be n(z). Solve -11*x + 8*x + o = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k - 71 + 201 = 0. Let x = k + 77. Solve -4*y - w = -x, y + 2*w + 0 = -4 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from zzrcxzczczjz. Give prob of sequence xcjz.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 265  (b) -112  (c) -72  (d) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = -2*a - 2. Let r = 3 + -107. Let z = 109 + r. Give q(z).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6304000 rounded to the nearest one hundred thousand?\nAnswer: 6300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 1086551 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) be the first derivative of 2*u**3\/51 - 2*u\/17 - 7. Solve t(k) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(432) + 2*sqrt(432)*2 + sqrt(432))\/(6*(sqrt(4) + 4*sqrt(16))).\nAnswer: 2*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 1264069 and -33?\nAnswer: -41714277","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (7 - 2)\/(0 + -1). Let r(j) = -j - 5. Let k be r(p). Suppose 5*h + 10 = 0, k = -u - 4*h + 57181 + 31811. What is u rounded to the nearest 10000?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*c + 4*m = 0, -4 = 14*c - 18*c - 2*m. Let b(a) be the first derivative of -1 + 0*a - 1\/3*a**3 + 0*a**c. Let q(o) = 3*o**2. Determine b(q(g)).\nAnswer: -9*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h\/(h**3*h)*(h*h**(-23))\/h*h)\/(h**15)**(-8\/7))**(-7) assuming h is positive.\nAnswer: h**55","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -p = 2*t - 23, -21*p - 9*p + 194 = t + 33*p - 26*p for t.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0163 less than -25?\nAnswer: -24.9837","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 b when four letters picked without replacement from wbbwbwwwwwwwbabwwbbb.\nAnswer: 14\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.2 + 0.3. Let h = 4.2 - 4. Let o = -1.2 + h. Sort o, -5, r in decreasing order.\nAnswer: r, o, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 1493210 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 (base 9) in base 15?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 55586.81 millennia to months.\nAnswer: 667041720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 9437476*5.\nAnswer: 47187380","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 15 - (-12 + 19) - -8.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:37 AM and 8:13 PM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from {v: 3, b: 4}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 15\/(105\/(-28))*1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 346, 656, 964, 1270, 1574?\n\"Answer: -r**2 + 313*r + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 (base 7) in base 2?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*m - 5 = -7*m, m - 7 = -3*h. Solve -6*n + h*n = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1438 is divided by 179.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 2095, 4311, 6535, 8767, 11007?\n\"Answer: 4*j**2 + 2204*j - 113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -94*u**3 + 386*u**3 + 259*u**3.\nAnswer: 551*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 2671903841 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-2)\/((-4)\/(-63))*6\/(-9)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -3\/4, -3\/7, -204 in descending order.\nAnswer: -3\/7, -3\/4, -204","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j = -0*j - m + 3, 0 = 3*j + 3*m - 12. What are the prime factors of -1*(-4 + 3)\/(j\/(-75))?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -3\/649  (b) 0.2  (c) -5  (d) 30\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1.8 or 14?\nAnswer: 1.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a - g + 427 + 281 = 0, -3*g = -a + 688. Do a and 702 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6\/(-18)*6\/(-150)*-25.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = 34*s**3 - s**2 - s. Let g be b(-1). Is (g\/(-4))\/((-2)\/(-428)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 7*q - 13 + 41 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from vonno. Give prob of sequence voo.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -180 - -98. What is the remainder when 58 is divided by y\/(-4) - ((-1)\/(-2) + 0)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -21 + 24. What is the fourth smallest value in -3\/7, 1\/10, x, 1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together -12 and -137.\nAnswer: -149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = -o**2 + 2*o + 4. Let h be l(-3). Let a = 16 + h. Let j be -4*((-14)\/8 - 2). Solve -2*p - j = -a*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 11\/651 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 2709.644 grams in milligrams?\nAnswer: 2709644","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 2\/2619 = -0.124?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1\/3*((-93)\/(-2))\/31?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*d - 3*d + 2*d + (-4 + 0 + 2)*(-1 - 2*d + 1) + 6 - 3*d - 6 - 3*d + 6*d - 2*d.\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -277 + 516 + -112 - (-2 - -2)\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3\/5*f**2 + 1062\/5*f + 93987\/5.\nAnswer: 3*(f + 177)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 681 + -439. What is the least common multiple of d and 10?\nAnswer: 1210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 1200\/66 + (-1)\/11*2. Let b = 22 - t. Suppose -b*r + 12 = -0*r. Solve -5 = -r*u + 2*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 718*q + 149*q + 93*q - 590 with respect to q.\nAnswer: 960","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"}
{"text":"Question: How many days are there in twenty-six sevenths of a week?\nAnswer: 26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is ((0\/(-4))\/(-3))\/(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 53, -1, 32, -3 in decreasing order.\nAnswer: 53, 32, 5, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 470 less than or equal to 84731\/180?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m be ((-1)\/(-2))\/((-16)\/(-800)). Solve x + 5*r = -m + 22, 4*r = -2*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1866 is divided by 17?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = -8*d**2 + 3*d + 2. Let a(o) = 24*o**2 - 8*o - 5. Suppose -4*x + 16 = -6*x. Calculate x*s(l) - 3*a(l).\nAnswer: -8*l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -37649 + 37635. Let j = 14 + -97\/7. Which is the nearest to o?  (a) 1\/2  (b) -3\/2  (c) -2\/11  (d) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*x - 15 = -3*v, -1206*x - 252 = -1122*x - v for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: (2547396\/26368)\/(-687)*((-8)\/3)\/1\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 1, 0.7, -0.06926, 2?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -267.55 in 1\/4, -0.4, 2, 3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = 11*q**3 + 3*q**2. Let u(l) be the second derivative of -l**5\/5 - l**4\/12 - 140*l. Let w = -9 - -15. What is w*r(o) + 17*u(o)?\nAnswer: -2*o**3 + o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = -s**3 - 11*s**2 - 27*s + 7. Let f be r(-7). Solve 2*c = -2*l - c - 13, f = 4*c + 4 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*a + 53 = f, 0*f = 10*f + 2*a - 98 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 1167775 to the power of 1\/6, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1377.07 + -1319.2. Let q = j - 58. Let r = q - 0.07. Sort r, 3, 1 in decreasing order.\nAnswer: 3, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 d and 2 h when three letters picked without replacement from {z: 2, h: 4, w: 1, d: 1, e: 2}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) be the third derivative of f**5\/60 + f**4\/12 - 7*f**3\/6 - 2*f**2. Calculate the remainder when 14 is divided by g(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = u**3 + 14*u**2 + 77*u + 197. Calculate w(-7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-1)\/(0 - -1))\/(-1). Let h be d\/(-12) - 2\/(-6). Suppose -3\/4*k + h*k**2 + 1\/2 = 0. What is k?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -k - 245 = -36*k for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = 3*y + 45. Determine s(-25).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 times -0.5996?\nAnswer: -2.998","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*f**3\/11 + 1856*f**2 + 489120*f\/11 + 2932992\/11.\nAnswer: 2*(f + 12)**2*(f + 10184)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -39284 - -39290. Let h = -2 - -2. Suppose 3*v = -12 - h, -5*v = -2*r + 66. What is the remainder when r is divided by d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let h be -12 + (-24 - 3944\/(-102)). Factor -h*x**3 + 22\/3*x**2 + 8\/3 + 38\/3*x.\nAnswer: -2*(x - 4)*(x + 1)*(4*x + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*a = 85 - 457. Calculate the common denominator of a*((-2)\/36)\/1 and 15\/(-9)*(-85)\/25*2.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 42\/140*45\/63. What is the closest to -1\/2 in 3\/5, 1, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-36645)\/(-6) - -4)\/(3\/6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(605)*-2 + 0)*3 - 3*-1*sqrt(605)*2)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert -10112231000 (base 5) to base 16.\nAnswer: -9cc453","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 5\/8 of a week in hours?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 21500 is divided by 118.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 11649097?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1111012210 (base 3) to base 13.\nAnswer: -10461","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of j**3*x**3 - 110*j**3 + 4*j**2*x**3 - 11*j**2 + 766002*j*x + x**3 + 8*x wrt j?\nAnswer: 6*j*x**3 - 660*j + 8*x**3 - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 0.072263049 or -1\/3?\nAnswer: 0.072263049","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 678\/((95 - 164) + 75).\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 (base 13) in base 16?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 65.32187 litres to millilitres.\nAnswer: 65321.87","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 75677 to the nearest integer?\nAnswer: 275","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*((sqrt(3200) + (sqrt(3200) - -5*sqrt(3200)*2))**2 - 1*(-1 + sqrt(3200))**2).\nAnswer: -2287995 - 400*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {u: 3, g: 1, v: 5}. Give prob of sequence guuv.\nAnswer: 5\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 226 - 65 = -23*c for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 604319 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 8\/(-12)*27\/99\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -3325 - -3304 - (-1 - (64 + -2))?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**(-5\/6)\/a*a**(-2\/7)*a)\/(a**4\/a**(-1\/2))*((a*a*a*a**(2\/11)\/a*a)**31)**33 assuming a is positive.\nAnswer: a**(68237\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -2.45 + 2.25. Let f(k) = -k**2 + k + 57. Let z be f(0). Let v = z + -173\/3. Which is the third smallest value?  (a) i  (b) v  (c) -2\/13  (d) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = n**2 + 29*n - 6. Let w be m(-17). Let i = w + 215. Let p = -18 + 38. Calculate the greatest common divisor of i and p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 3197 and 25005.\nAnswer: 79940985","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l - 7010 = -5*z, -2*l + 2788 = 2*z - 6*l. What is the thousands digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 283717000 rounded to the nearest 1000000?\nAnswer: 284000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z - 4*z - 225 = 0. Suppose -3*n = -2*g + 297, n + 0*g - 5*g + 99 = 0. Let f = z - n. Does 18 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 2 * 7.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((-2)\/(-5))\/(7\/35). Solve x + 0*g = -2*g - c, 2*x - 5 = -g for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {h: 1, t: 3, g: 1}. What is prob of sequence thg?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {t: 3, a: 6, u: 3, g: 1}. Give prob of sequence gta.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = -2*y**3 + 2*y + 5. Let h(w) = -w - 1. Give -5*h(l) - n(l).\nAnswer: 2*l**3 + 3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -2\/21, 0.1, 1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 122956 and 236.\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -3 + 0. Which is the smallest value?  (a) -2\/3  (b) -0.1  (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) be the first derivative of d**4\/8 - 13*d**3\/3 + 109*d**2\/4 - 42*d - 5777. Solve p(l) = 0 for l.\nAnswer: 1, 4, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) be the second derivative of 29*o**6\/10 + 7*o**2\/2 + o - 1. Differentiate p(j) with respect to j.\nAnswer: 348*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 18*q - 23*q + 215 = -15*f, 5*f + 3*q + 37 = -30 for f.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 48\/(-32)*(-2 - 0). Find the third derivative of -25*f**3 + t*f**2 + 17*f**3 + 3*f**2 wrt f.\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {o: 2, c: 3}. Give prob of picking 3 c.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = -r**2 - 8*r - 2. Let c be o(-9). Let j be -3 - (-3 - c)\/(-2). Suppose -14 = -3*i + j. What are the prime factors of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j + 5*j = 10. Let u = j + -6. Are u and -2 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 12600 divided by 175.\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 2158.8078 - 2159. Let x = q - -0.19. Round x to 3 decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) be the third derivative of -v**6\/120 + 13*v**5\/60 + v**4\/24 - 2*v**3 + 3*v**2. What is the lowest common multiple of f(13) and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = -c**3 - c + 3. Let z be r(0). Let n(v) = -v**3 + 3*v**2 + v + 1. What is the remainder when 9 is divided by n(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -6 * 41836\nAnswer: -251016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 3019 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -955, -1909, -2863, -3817?\n\"Answer: -954*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -69, 5, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 5705040 a multiple of 66?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p - 3 = 2*m + 11, m = 4*p - 19. Suppose t = 3*q - p, t + 1 + 11 = 5*q. Let c = q + -2. What is the remainder when 1 is divided by c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-51)\/(-6) + 1\/2. Let s = 6 - x. Let h be -120*(-1 + (-1)\/s). 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: Calculate the common denominator of -35\/31 and -43\/7.\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 7424660*p**2 + 45593*p + 8 wrt p?\nAnswer: 14849320","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = 6*v**2 - 37*v + 68. Give o(9).\nAnswer: 221","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1.0861 + 0.0861. Let i be 18\/(-27)*(-15)\/(-2). Which is the closest to q?  (a) 1\/4  (b) i  (c) 5  (d) -18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-55)\/(-8)*14904\/1863?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 7 divide (3024\/15)\/((-129)\/(-430))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -5880.049 to the nearest integer.\nAnswer: -5880","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 + (-19 - -6 - -6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be -2*(-3)\/2 - 1. Suppose 15 + 41 = -4*s. What are the prime factors of (-192)\/(-14) + (-2)\/s*j?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = -x + 5. Let b = 38 + -37. Let l be i(b). Solve l*n - n = 9 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = -50*y - 21. Is s(-7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*d, 3*j + 3*d - 78 = -0*d. Let u(t) = 7*t + 80. Calculate the remainder when u(3) is divided by j.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l = -2*l + 10. Let u(z) = z + 167. Let i be u(0). Suppose l*g - i = 123. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 - 41\/4 - (25\/4)\/(-25)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 2\/(-4) - (-68)\/8. Solve 0 = 2*q - 4*k - 6, -2*q - 3*k - h + 0 = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ukwppukkukpk. What is prob of sequence up?\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 513 is divided by 262?\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*t - t + 5*f - 20 = 0, 0 = -2*t + 5*f - 20. Suppose t = -0*h - 4*h. Find the common denominator of 56\/3 and (132\/(-63))\/2 - h\/(-2).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 973192.7 years in centuries?\nAnswer: 9731.927","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(144)*-2 - sqrt(144) - sqrt(144))\/sqrt(8) + sqrt(198)\/(sqrt(11)*-2))\/(sqrt(24)\/sqrt(4)*1 - sqrt(726)*1).\nAnswer: 9*sqrt(3)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.1 + 0.1. Let h = -13 + 13.1. Which is the nearest to 0.1?  (a) -4  (b) t  (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from wrqqqqwrrwffrqqrffq. What is prob of sequence rr?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*p - 3 = 2*v - 16, -5*p - 32 = -3*v. Let g = -5 + v. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-2)\/7*-6)\/((88\/11)\/(-280)).\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 150849, 151138, 151427?\nAnswer: 151716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -263.1 - -274. Is -1 < s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 u and 1 z when three letters picked without replacement from {u: 2, z: 5, t: 5, g: 2, q: 2, k: 2}.\nAnswer: 5\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -203\/250470 and 19\/7582410?\nAnswer: 83406510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4863 is divided by 1321.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*y + r + 2*r - 6, 4*r + 8 = 0. Suppose -11 = -y*a + 4*a. Let n = 13 + a. Solve 3 = -3*z + x + x, -n*x - 15 = 3*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -b284 (base 12) in base 7?\nAnswer: -110356","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12*o - 11 = o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -3, -0.04, -4150.\nAnswer: -4150, -4, -3, -0.04","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (f**4 + 0*f + 0*f)*(3 - 1 + 1) - 3*f**2 - 5*f**4 - 2*f**2 + 3*f**2.\nAnswer: -2*f**4 - 2*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 13 + (0 - 12) + (-1 - 2 - 8)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 527724619 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -16 + 32. What is the greatest common divisor of 144 and d?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 2617*s**2 + 5 - 7 - 2652*s**2 - 16*s**4 as l*s + i + b*s**2 + g*s**3 + t*s**4 and give b.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-25)\/(5\/425*-5)?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*w + 10 = 2*w. Let g = -3 - w. Let c be 2*1\/g*-1. Is -2 bigger than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 88.459+12573\nAnswer: 12661.459","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = -1. Suppose -19 = 4*m - 5*t - 0*t, -3*t = 5*m - 4. Let q(j) = j**2 - 2*j - 2. Calculate m*q(h) + a(h).\nAnswer: -h**2 + 2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -455*m**5 - 123*m?\nAnswer: -9100*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1281 and 117328071?\nAnswer: 1281","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5 + 0 - 4)*(2*z - z**5 - 2*z + (4*z - z - 5*z)*(-z**3 + z**4 + z**3) + (-3*z**2 + 3*z**2 - 2*z**5)*(0 - 1 + 0)).\nAnswer: -z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort -61.9, -2, 5, -0.05, -73\/6 in decreasing order.\nAnswer: 5, -0.05, -2, -73\/6, -61.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 9314527 greater than 9314528?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -28417*j*z**2 + 2*j*z - z**2 + 3*z - 27021 wrt z?\nAnswer: -56834*j - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1761134 to the nearest integer?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ob when two letters picked without replacement from momqboi.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-48)\/(-468)*6)\/(20\/10).\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**(-3\/5))**(-7\/5)\/(q*(q*q**(-6))\/q)**(-47) assuming q is positive.\nAnswer: q**(-5854\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 174638 to the power of 1\/3, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 5\/(-2)*(-965)\/(-28950).\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/2?  (a) -0.7  (b) -0.0941  (c) -1  (d) 0.9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 3  (b) 11  (c) 0.2  (d) -0.3  (e) 0.12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Does 20 divide 983?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -2015 + 2018. Do r and -426 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -32 (base 14) to base 16\nAnswer: -2c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 60 - (4 + 15\/(-3)). Suppose -114 = 62*k - n*k. What is k rounded to the nearest ten?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 111211201 (base 3) to base 5.\nAnswer: 310330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 99166, 396674, 892520, 1586704?\nAnswer: 2479226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 379088 > 379089?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*p**3 - 1488*p**2 + 148212*p - 1794296.\nAnswer: 4*(p - 179)**2*(p - 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(891) - 5*(sqrt(891) + 0)) + (-3 + sqrt(891)*3 - sqrt(891)))**2.\nAnswer: 108*sqrt(11) + 3573","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.03385 - -0.033775444. Round s to five decimal places.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 21\/4 of a kilogram?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = -h**3 - 4*h**2 + 3*h - 7. Calculate d(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.001047919 rounded to six decimal places?\nAnswer: 0.001048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1496\/(-816))\/(15\/18).\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -2595, -5190, -7785, -10380, -12975, -15570?\n\"Answer: -2595*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*q + q = 60. Suppose 3*b = 4*b + q. Let n = -16 - b. What is the third smallest value in 0.5, 0, n?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1079 is divided by 90?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 b when three letters picked without replacement from {x: 5, b: 11, m: 1}?\nAnswer: 33\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*4*1*-3*sqrt(80)*2)**2.\nAnswer: 46080","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Determine z so that -z**2 - 6202*z - 9616201 = 0.\nAnswer: -3101","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -31 - -41 - (3 - (1 - -3))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o + 23 = -3*g, 250*g - 255*g - 65 = -3*o. Calculate the smallest common multiple of o and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**8*j*(j\/((j*(j*(j\/(j*j\/(j*(j*j**(-10\/9))\/j))*j)\/j)\/j*j*j*j)\/j)*j)\/j*j)\/(j**(3\/16)\/((j*j**(-3\/11))\/j)) assuming j is positive.\nAnswer: j**(13703\/1584)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 19449\/35 - 3887\/7. Let -4\/5*y + q*y**2 + 0 = 0. What is y?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00918454565 rounded to six dps?\nAnswer: 0.009185","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert 111110100000 (base 2) to base 16.\nAnswer: fa0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.5 times -0.0277197?\nAnswer: -0.01385985","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -9394 divided by 154.\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = f**2 + 4. Let h be v(0). Suppose 5*p - 3*u = 0, 3*p + h*u = u + 24. Suppose q = -3*q. Solve 3 = b + y - q*y, 4*b - 9 = -p*y for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1348 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.2 in 0.5, -93, -17, -0.4, -1\/2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -1 + -1 - (1 + 0). Let t(j) = -5*j**2 + 2*j + 1. Let o(c) = 4*c**2 - c - 1. Give w*t(a) - 4*o(a).\nAnswer: -a**2 - 2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 21300 - -1?\nAnswer: 21301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2692818*u**3 - 286*u - 4002 wrt u.\nAnswer: 16156908*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 9697.\nAnswer: 9697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*z**2 + 7*z**2 - z**2 + 3)*(2*z + 0 + 0)*(-282*z**2 + 63*z**2 - 138*z**2).\nAnswer: -1428*z**5 - 2142*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 23584 and 28408?\nAnswer: 536","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = -3*w. Let b(p) = 1595249*p**2. Calculate b(m(f)).\nAnswer: 14357241*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) be the first derivative of 2*p**5\/5 - 5*p**4\/2 + 16*p**3\/3 - 4*p**2 - 7. Solve r(c) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 24470 in 2\/3, -25, -0.3, -0.04?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = -4*w**3 + 13*w**2 - 2*w - 47. Let x(i) = -2*i**3 + 6*i**2 - i - 24. Determine -6*f(a) + 13*x(a).\nAnswer: -2*a**3 - a - 30","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {p: 1, t: 2, a: 1, k: 11, w: 3, x: 1}. What is prob of sequence xa?\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**(-3\/7)*(z**0*z)\/z)\/(z**(-1\/3))**46 assuming z is positive.\nAnswer: z**(313\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -49 + (11 - 13) + -3 + 9 - -11?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -134 + 251. What is the greatest common factor of 9 and q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -15471 divided by 4129\nAnswer: -15471\/4129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 6*v - 2*v - 2*y - 42, -5*v + 3*y + 51 = 0. What is the remainder when v is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -4723, -6418, -8113?\n\"Answer: -1695*w - 3028","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -192.802561 minus -0.2?\nAnswer: -192.602561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -669*0.5167.\nAnswer: -345.6723","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -19*x + 30 = -9*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.91 - 0.41. What is the third smallest value in -2\/11, y, -7?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 3765, 7592, 11433, 15294, 19181, 23100?\n\"Answer: a**3 + a**2 + 3817*a - 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 57 divide 2451?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 46713\/38458 + -1\/2747. What is the common denominator of l and 202\/(-10)*-15*(-7)\/168?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9070030639 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*m + m = -5*c + 70, -151*m + 26 = -147*m + 3*c - 5 - 23 for m.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1 - (10 + -5)) + 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = f**3 + f**2 - 3*f - 6. Let g be k(-4). Let s be ((-3)\/(-2))\/(3\/g). Let c be (6\/s)\/((-2)\/14). Solve -c*l - 3 = -1 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1792441 to the power of 1\/5, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 11\/1138895 and -97\/1516?\nAnswer: 4555580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*a**3 + 34074*a**2 - 144700*a + 127650 = 0. What is a?\nAnswer: 5\/4, 3, 4255","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify i**2*i*i**(-1\/5)*i**11*(i**6*i)\/i assuming i is positive.\nAnswer: i**(99\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 33955 and 40.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 4\/(-12) - 4\/(-8)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = -h**2 - 5*h + 5. Let y(j) = -j**2 + 8*j + 11. Let d be y(9). Let u be z(d). Let v = u + 11. Solve -2*w = v*k + 4, -5*w - 4*k - 9 - 1 = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -11098 - -11056. What is the third smallest value in 2\/9, 5, c, 2\/197?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -522 + 526. Solve 0*n + 16 = h*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = 31*f**2 - 2*f + 4. Let i(g) = 25*g**2 - 2*g + 3. Let v(d) = -5*i(d) + 4*m(d). Let t(n) = -n**3 + n**2 - n. What is -t(z) - v(z)?\nAnswer: z**3 - z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in eleven quarters of a day?\nAnswer: 3960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 1152.8 - 1153. Let m = -3 - -2.6. Let l = m + 0.6. Which is the nearest to -0.13?  (a) l  (b) 1  (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p\/p**(-3\/2)*p)\/p**5)\/(p\/p**(-3)*p**(1\/8)) assuming p is positive.\nAnswer: p**(-45\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {k: 5, q: 1, s: 5, l: 1, r: 6, w: 2}. What is prob of picking 1 s and 2 l?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = -5*w**3 + 6*w**2 + 30*w - 10. Let i(p) = -11*p**3 + 13*p**2 + 61*p - 22. Let x(l) = -6*i(l) + 13*j(l). Is x(11) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = w**3 + w - 5. Let m be y(0). Let o be ((-2)\/5)\/(m\/(-25)). Is -2 less than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/25 of a millennium in years?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) be the first derivative of -3*d + 27 - 3\/2*d**2 + 5\/3*d**3 + 1\/2*d**4. Calculate c(-4).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 68688.02 days to hours.\nAnswer: 1648512.48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ks when two letters picked without replacement from sckksjcskk.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -26*w = -23*w - 108. Suppose -24 = 5*a + w. Calculate the remainder when 43 is divided by 4\/(-6) + (-272)\/a.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*d - 6 = 0, -w + 32*d = 28*d - 13 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*c = -4*c + 4. Suppose -7 = h - 3*o + 4, -c*h + 36 = 4*o. Solve -1 = -h*p - 17 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00033299 to 5 dps.\nAnswer: 0.00033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = 10*j**2 + 34*j + 3. Determine p(-5).\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 4 - 408\/108 - (-204)\/54\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -1617*a**4 + a - 38.\nAnswer: -19404*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -62 + 2?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -3 + 10947?\nAnswer: 10944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2632*c + 108399 + 28465 for c.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -5.293 + 0.613. Round d to 1 decimal place.\nAnswer: -4.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = 8*c**3 - 45*c**2 + 236*c - 1054. Determine v(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 390*c - 383*c = 11781. Does 17 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + (sqrt(176)\/sqrt(4))\/sqrt(4) + ((-5*(sqrt(110) - (sqrt(110) + (sqrt(110) - (1*sqrt(110) - sqrt(110))))))\/sqrt(10))**2.\nAnswer: sqrt(11) + 272","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 6.3 * -205\nAnswer: -1291.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y - 4*y = -6. Suppose 0 = -h + y*h + 5. Let f = -55.4 - -55.5. What is the nearest to f in -1\/3, h, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:10 AM and 10:32 PM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 3.847752 kilometers in millimeters?\nAnswer: 3847752","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*t - 62 + 58 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w - 16 - 8 = y, -79 = 3*y - 4*w. Suppose x - 4 = 3*c - 21, 79 = -3*x - 5*c. Which is greater: x or y?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = -a**3 - 11*a**2 - 98*a - 715. Let f be s(-9). Let x(p) be the first derivative of 0*p**2 + 1\/3*p**4 - 2\/9*p**3 + 0*p + 13 - 2\/15*p**f. Factor x(c).\nAnswer: -2*c**2*(c - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 332, 334, 338, 344, 352, 362?\nAnswer: 374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-24)\/2*225\/(-30)*(-1)\/40.\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*r - 9 = 5*n - 7*r, 0 = 2*n - 2*r for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 24204004 to the nearest integer?\nAnswer: 289","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = -k**2 - 13*k + 29. Suppose 57 = -5*i - 3. Let u be r(i). Let s = u - 5. What is the remainder when 105 is divided by s?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = 7*j**2 - j - 2. Let n(x) = -28*x**2 + 5*x + 9. Let i(c) = 9*f(c) + 2*n(c). Is 13 a factor of i(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -16 and 2?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((2*sqrt(392))\/sqrt(7))\/(sqrt(32) - sqrt(288))*3.\nAnswer: -3*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -6104 + 6121. Let h be (3\/2)\/((-2)\/4). Let q be p*(-5)\/(-15)*h. Which is bigger: -16 or q?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = t + 1. Let d be h(9). Calculate the highest common factor of d and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -1458944100 to the nearest 1000000.\nAnswer: -1459000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -220200 - 1?\nAnswer: -220201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 6*t**6*z - 1489*t**3*z**3 + 8292*t**2 + 2*t*z**3 wrt t?\nAnswer: 720*t**3*z - 8934*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 7182512 to the power of 1\/3, to the nearest integer?\nAnswer: 193","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1095*b + 175 = 1070*b for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand 165*c**4 - 165*c**4 + 164*c**5 + (2*c**2 - 4*c**2 + c**2)*(-2 + 2 - 2*c**3) + 2*c**5 - c + c + (c**3 + 2*c**3 - 2*c**3)*(2*c**2 - 2*c**2 + c**2).\nAnswer: 169*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-14*c - 2*c + 33*c + 2*c**4)*(-3*c - 4*c + 4*c).\nAnswer: -6*c**5 - 51*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Express -7*d**2 - 8*d**3 - 11*d**3 + 78*d - 40*d + 83 + 20*d**3 - 40*d in the form c + b*d**2 + m*d + z*d**3 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1871090691 to the nearest integer?\nAnswer: 1232","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 532257 and 110.\nAnswer: 5322570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2853458 divided by 31.\nAnswer: 2853458\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 46\/14 + (-9)\/(-540)*10*-12.\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -121 = 3*w + 35. Let s = w + 93. What is the remainder when s is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 5060775 (base 8) to base 6\nAnswer: 44344141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s + 236 = -2*g, 4*s + 2*g = 792 + 82. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-9 + (-356)\/(-40))\/(6\/(-58485)) + 3. Are t and 978 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (108\/288)\/((-2)\/(-16))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is -3 equal to -34.73709?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l - 132 = 3*x, 5*l - x = -0*x + 236. Does 6 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 19 a factor of 117403660?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 15 - (17 - -21 - 15)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(88)\/(sqrt(8) - (sqrt(16)\/(sqrt(2) - (sqrt(2) + (sqrt(2)*-4 - sqrt(2)))) - sqrt(8) - sqrt(8))).\nAnswer: 5*sqrt(11)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 2693, 8641, 18553, 32429?\n\"Answer: 1982*g**2 + 2*g + 709","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 36500213 to the power of 1\/3, to the nearest integer?\nAnswer: 332","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 25.05999cm?\nAnswer: 250599900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = z**3 - 239*z**2 + 756*z - 11329. Let o be f(236). Let n = -259 - -3883\/15. Which is the nearest to n?  (a) -0.4  (b) -3  (c) o  (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -367*h + 929.\nAnswer: -367","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/8 of a millisecond in microseconds?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*u - 3*u + 2*u)*(-21*u + 46 - 46)*(2*u + 1 - 1).\nAnswer: -84*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -69.43489 times 0.49\nAnswer: -34.0230961","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/5 in -1, 43, 176, 5\/1278, 4?\nAnswer: 5\/1278","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find q, given that -2*q**3 + 116*q**2 + 2922*q + 15444 = 0.\nAnswer: -11, -9, 78","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"}
{"text":"Question: Expand (t**2 + 3*t - 3*t)*(3 + 2 - 6) + (-t + t + 2*t**2)*(-1 - 4 + 3) - 8 - 3*t**2 + 8 - 25 + t + 25 + 37*t**2.\nAnswer: 29*t**2 + t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from wdfbz. Give prob of sequence dwfb.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is -169 > -174?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-1)\/30*111\/(-37))\/(126\/60).\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 12839, 12664, 12377, 11984, 11491, 10904, 10229?\nAnswer: 9472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = 455*k**4 - 6*k**3 - 6*k**2 - 2*k - 6. Let v(f) = f**4 + f**3 + f**2 + 1. Let u(x) = -r(x) - 6*v(x). Find the second derivative of u(h) wrt h.\nAnswer: -5532*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5205205 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) be the third derivative of r**4\/24 + 2*r**2. Let q = -140 - -142. Let h(y) = -7*y**2 + 6*y**q - 8*y**2 + 0*y**2. Calculate h(z(b)).\nAnswer: -9*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-68 + 66)*2*(-1)\/(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -22473591*m**2*p**4 + 101*m**2*p - 3*m**2 - 44*m*p - 2*m - 3*p**5 + 58 wrt p?\nAnswer: -269683092*m**2*p**2 - 60*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 17 - 15. Differentiate -10*j**2 - 46*j**r - 110 + 59 with respect to j.\nAnswer: -112*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -63 + 29 + 15 - -59?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*f - 5*w = -6, 3*f - 32 + 41 = 2*w for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.2 and -37294.4?\nAnswer: -7458.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1\/2)\/(((-30)\/10)\/18)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2848.\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 1129 + 173?\nAnswer: 1302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*6*(sqrt(28) - sqrt(84)\/sqrt(3) - 4*sqrt(7)*2).\nAnswer: -240*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 896 - 812. Calculate the greatest common factor of h and 564.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is 154765 to the power of 1\/2, to the nearest integer?\nAnswer: 393","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q\/(q**(-2\/3)\/q*q))\/q)**(2\/17)*q*q\/(q**(17\/4)\/q)*q\/((q\/(q*((q*q\/(q\/(((q**(-6)*q*q*q)\/q)\/q)))\/q)\/q))\/q) assuming q is positive.\nAnswer: q**(-1055\/204)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 4054*l**2*m - 525*l*m - l - 3*m wrt l.\nAnswer: 8108*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*g - 4*a - 2 - 2, 0 = -5*a + 5. Suppose 2*r + 36 = g*s, -2*s + s = 3*r - 18. Calculate the remainder when 51 is divided by s.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y + d + 61 = 0, -4*d - 68 = 2*y - 14. Let k = 25 + y. Calculate the greatest common divisor of k and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-175)\/28)\/(-25)*(-19)\/((-38)\/(-48)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.083, -0.311, -1 in ascending order.\nAnswer: -1, -0.311, 0.083","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = u**3 - 10*u**2 + 13*u - 15. Let y be (-5 - (-44)\/8)*(95\/5 + -1). Determine l(y).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*s**3 + 183*s**2 + 2697*s - 2883.\nAnswer: 3*(s - 1)*(s + 31)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = 917*y + 10. Let j(z) = 907*z + 12. What is 5*j(k) - 6*t(k)?\nAnswer: -967*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 1\/3  (b) 5  (c) 4  (d) -4  (e) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -22 or 190?\nAnswer: 190","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*t - 18, -81*m - t = -83*m + 14 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -11.2?  (a) -4\/41  (b) -1  (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence yk when two letters picked without replacement from {y: 1, k: 2, f: 8, j: 2}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -232 - -224. Let u(f) = f**3 - 5*f**2. Let x = -5 + 10. Let w be u(x). Which is smaller: y or w?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 230328479.\nAnswer: 230328479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -446 = -8*y + 298. What is the tens digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*v - v - 2*j + 10, 4*v + 5*j - 12 = 0. Let x = v + -1. Let f = x - -6. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.0406581167 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -152*y = -148*y - 80. Calculate the remainder when y is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 x, 1 l, and 1 c when three letters picked without replacement from {c: 5, l: 9, x: 2}?\nAnswer: 9\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (862\/(-274))\/((-1224)\/(-2248)). Let w be -1 + -2 + 41920\/13974. Let v = f - w. Find the common denominator of 16\/11 and v.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*a = -0*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.45 + 115581.\nAnswer: 115580.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = t**3 - 8*t**2 + 11*t - 14. Determine d(7).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*v + 148 = 9*v + 22 for v.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {c: 1, u: 1, n: 3, y: 3, f: 3, b: 2}. What is prob of sequence nfy?\nAnswer: 9\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 41*h - 13*h + 141*h = 4142 + 5491 for h.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 39382529 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (385\/825)\/(1540\/50).\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-20)\/(-70))\/(((-396)\/(-18))\/(-22))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -2118*b**4 - 13356*b**3 - 23358846.\nAnswer: -8472*b**3 - 40068*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -7955 divided by -5\nAnswer: 1591","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = 21*x**3 - 123*x**2 - 28*x + 58. What is m(6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = 2*u - 24. Let j be c(-12). Let r be (j\/(-90))\/((-2)\/3). Suppose 7 = -4*x + 4*d - 1, -4*x - 8 = 2*d. What is the nearest to -2 in x, r, -0.4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -24 = i + 5*a, -5*i - 5*a + 2*a - 10 = 0. Factor 718*r**2 + 6 - 715*r**2 - i + r**3 - 9*r.\nAnswer: (r - 1)**2*(r + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -24 - -47\/2. Which is the closest to p?  (a) 1\/7  (b) -2\/35  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 314936, 314803, 314598, 314321, 313972, 313551, 313058?\n\"Answer: -36*f**2 - 25*f + 314997","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f - 4*u + 43 = 7*f, u = -f + 9. Let a(k) = -2*k**2 + 2*k - 6. Let i be (-1 - -3)*4\/24*-9. Let h(y) = -5*y**2 + 5*y - 13. What is f*a(m) + i*h(m)?\nAnswer: m**2 - m - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -10064 - -303?\nAnswer: -6461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 12.5 - -20.5\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -1209, 23, 2 in descending order.\nAnswer: 23, 3, 2, -1209","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 28 + -25. Let x be 1\/(((-9)\/o)\/(-6)). What are the prime factors of -1 + x - -59 - -3?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-2)\/(-8))\/((-440)\/320).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -81\/4 and 43\/1669.\nAnswer: 6676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 (base 2) in base 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 u, 2 o, and 1 b when four letters picked without replacement from bododloolubebodll.\nAnswer: 3\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 31333210 - 140?\nAnswer: 31333020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 40.8471826 + 222?\nAnswer: 262.8471826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) be the third derivative of o**4\/12 - o**2. Let r(d) = 2*d**2 - 5*d + 5. Let t(v) = v - 1. Let q(n) = r(n) + 5*t(n). What is f(q(c))?\nAnswer: 4*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 481219 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 410 is divided by 254?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = 6*f**2 - 12*f**2 + 17*f**3 + 7*f**3 + 8*f**2 + 4 + f. Let p be k(-2). What is p rounded to the nearest 10?\nAnswer: -180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = 21*y - 29. What is the tens digit of s(5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = i**3 + 6*i**2 - 10*i - 13. Determine z(-7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let -5*j**3 + 12870*j**2 - 7557600*j + 1287935360 = 0. What is j?\nAnswer: 376, 1822","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6394254?\nAnswer: 2, 3, 1065709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = -5*z - 19. Let n be y(-6). Which is the biggest value?  (a) -2  (b) -0.2  (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-m + 2 - 2 + (-2 + 6 - 2)*(-3*m + 4*m + m))*(1 + 3 - 1).\nAnswer: 9*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 i and 2 x when three letters picked without replacement from hxhix.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -303259224*z + 303259224*z - 3*z**2.\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -6619, -6621, -6623, -6625?\nAnswer: -6627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 i and 1 j when four letters picked without replacement from iiiiiiijiiiiiiiiiiii.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = 29*b - 13. Let c be g(13). Suppose 14*f = 10*f + c. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 13027869.\nAnswer: 3, 853, 1697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 131.2?  (a) -295\/4  (b) -5  (c) -0.1  (d) 2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = 2*k - 4. Let d be 3 + 0 + 4 + -3. Let f be m(d). Let h = 17 - 12. Solve -f*s - 7 = h for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -3174770, -6349209, -9523648, -12698087, -15872526?\nAnswer: -19046965","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor -16*b**4 - 8*b**3 + 311*b**2 + 78*b - 1521.\nAnswer: -(b - 3)**2*(4*b + 13)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 14100112589 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -534690 divided by -35\nAnswer: 106938\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 219623059?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 3709?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1943 divided by 28830.\nAnswer: 1943\/28830","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 7 + -7.8. Let v = -6.8 - -2. Let r = q - v. Is r greater than 2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 13753\/10 + -1377. Let l(h) = h**2 + 6*h - 5. Let j be l(0). Calculate the common denominator of t and ((-27)\/(-10))\/((-2)\/j).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*a**2 - 99466680*a + 618351276888900.\nAnswer: 4*(a - 12433335)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 78*m = 27*m - 1224 for m.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -975 = -107*y - 218*y. Find k, given that 36*k + 3\/5*k**y - 216\/5 - 42\/5*k**2 = 0.\nAnswer: 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 0 or -2\/198771?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 20423103?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h*h**(1\/10)*h*h**(-1))**(-2\/3)\/((h**(-3\/4)*(h\/((h**(4\/3)*h)\/h*h))\/h)\/(h**(-2\/3)\/(h\/((h\/(h\/(h**(-4\/5)*h)))\/h)))) assuming h is positive.\nAnswer: h**(-7\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + -6*(-3 + 2*sqrt(1872) + -2)**2.\nAnswer: -45073 + 1440*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = -5*i**2 - 4*i - 4. Let l(y) = -4*y**2 - 3*y - 3. Let u(v) = -5*k(v) + 6*l(v). Let h be u(-3). Solve -5 = h*r + 5 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = -m - 50855284. Let f(t) = 3*t. Determine u(f(b)).\nAnswer: -3*b - 50855284","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {f: 7, j: 12}. What is prob of picking 3 f?\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = -16*z**2 + 2*z - 8. Let u be f(7). Let x = u - -42788\/55. Is 0 greater than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -359.100212 to the nearest 100.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = -3439*g - 138. What is the tens digit of u(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (44 + 20812\/(-440))*(7 + -17).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v**(-3)\/v**3)**(-5\/8))**(-30) assuming v is positive.\nAnswer: v**(-225\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = -p**3 - 16*p**2 + 34*p - 14. Calculate the lowest common multiple of 182 and x(-18).\nAnswer: 2002","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = -o**2 - 125*o - 243. What is h(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -99202 from 5.4439.\nAnswer: 99207.4439","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 8\/48*15*((-9264)\/(-20) + 2). Solve -138*j = -59 + q for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 139 + 89 - (-77 - -191)\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in twenty-nine fifths of a milligram?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -25 + 32 + 1 + -13.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put 21468, 8, 2.198 in increasing order.\nAnswer: 2.198, 8, 21468","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Does 22 divide 42593157?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 41954233?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 4\/(-81)*((-10)\/14)\/((-50)\/105)?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {i: 2, j: 2, g: 4, e: 3, w: 2, l: 2}. What is prob of sequence jj?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*o - 9*o = -105. What is the greatest common divisor of 42 and o?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 119\/78 and -173\/44772.\nAnswer: 44772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*y = 6*y - 3*b + 26, -5*b + 10 = 0. Suppose -k = 2*j - 29 + 7, 48 = y*j + 4*k. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 47001 + -46918.991. Let s = -0.009 + n. Let q = 81.63 - s. Round q to one dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-5)\/((1\/(-1))\/(-115)). Let b = 1133 + t. What are the prime factors of b?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 16387991 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Convert -7 (base 13) to base 5.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express -18*u**2 - 216 + 15*u - 25*u**2 + 0*u + 229 + 38*u**2 as k*u**2 + j*u + d and give k.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 7.94659 less than -29464172?\nAnswer: -29464179.94659","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {l: 2, b: 9}. What is prob of sequence bbll?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Product of -1644 and -85.\nAnswer: 139740","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -79.6719418 rounded to three dps?\nAnswer: -79.672","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from zxzzxzxzzxwzzzzxz. Give prob of sequence zxzw.\nAnswer: 55\/5712","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from bbbnbnsnssnnzssbbbb. Give prob of sequence bss.\nAnswer: 80\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -10 - -54 - (-1 + (-4 - -9) + 0).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r + 0 - 4 = 0. Let v(f) be the second derivative of -1\/6*f**3 + 3*f + 0*f**r + 0 - 3\/20*f**5 + 0*f**2. Find the second derivative of v(g) wrt g.\nAnswer: -18*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (2\/(-3))\/(5\/(-3)). Suppose 0 = q - 2*q - 3. Let i = -1.45 - -2.45. Which is the closest to i?  (a) q  (b) z  (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2664 is divided by 70.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1872)*2 + -3 + -1*-3*sqrt(1872))**2 - -2*-6*(-5 + sqrt(1872) + -1)**2.\nAnswer: 1368*sqrt(13) + 23913","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1465.7 - -611.7. Which is the closest to -1?  (a) p  (b) 15  (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 66570104?\nAnswer: 2, 37, 239, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -317155\/777182 + 10\/9037. Which is smaller: -1 or f?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 6 and 14?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -68689, -274913, -618621, -1099813?\n\"Answer: -68742*x**2 + 2*x + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 523147 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2403*s = 2408*s + 55 for s.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -13 + (-5 - (6 - 14) - (-2 - -10))\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = 2*n + 2. Let v be i(3). What are the prime factors of 2\/v - 188\/(-16)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*b**2 - 3106*b + 187740.\nAnswer: 2*(b - 1490)*(b - 63)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-13221)\/4746*4\/4*2.\nAnswer: -39\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20 = -s - 3*s. Let m(j) = 6199*j**2 + 4*j + 5. Let c be m(s). What is c rounded to the nearest 10000?\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify i**17*i**(3\/7)*i assuming i is positive.\nAnswer: i**(129\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + -4*(sqrt(468) + 0) + -1.\nAnswer: -24*sqrt(13) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {t: 5, k: 5, q: 4}. Give prob of sequence kk.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = 13*m + 255. Give z(-23).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -4, 5, 18, 35, 56, 81, 110?\nAnswer: 143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 less than -6\/2351?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert -24 (base 16) to base 3.\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 48 and 198456.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -10\/1357 - 58251\/13570. Find the common denominator of s and (198\/(-4))\/(0 + -12).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1103 (base 6) to base 8\nAnswer: 377","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*j + 4*i - 28 = 0, 10*j - 12*j + 26 = 5*i for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 129.264 - 0.264. Let b = 2520995956 + -2520996084.9999927. Let k = b + o. What is k rounded to 6 decimal places?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*o - 10 = -5*k, -39*k - 108 = 10*o - 35*k for o.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 72*o + 126*o - 40482 = -36*o. Calculate the remainder when 386 is divided by o.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*x**5 + 0*x**4 + 0*x**4)*(-2 - 2 + 3) + (1 + 2*x**3 - 1)*(6*x**2 + 9 - 9).\nAnswer: 9*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 2848467?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is one tenth of a day in minutes?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000001986 rounded to seven dps?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15 - 63 = -6*h. Let z = -19 - -19. Let o(w) = 4*w**2 + 6*w**2 - w**3 - 3*w**2 + z*w**3 + 9*w - 5. What is o(h)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = 6*o**2 - 6*o**2 - o**2. Let i(x) = 2*x - 10. Determine r(i(a)).\nAnswer: -4*a**2 + 40*a - 100","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19*w - 6827 - 1533 = 0. Does 31 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 150927632586 and 0.084?\nAnswer: 150927632585.916","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*u + 3*s + 991 = -5*u, 2*u + 400 = -3*s. Let j = 1376\/7 + u. What is the biggest value in -3, j, -4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3138761 to the power of 1\/2, to the nearest integer?\nAnswer: 1772","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h - b - 2 = 15, b = -1. What is the third smallest value in 4, h, -0.4, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-117)\/52)\/((-3)\/(-8)). Let w be 36\/(0 - -6)*(-148)\/a. What is the units digit of (0 - 2)\/((-8)\/w)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = -4*h**3 + 7*h**2 + h + 3. Let t be l(4). Let r = -54 - t. Let b = r + -79. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-2)\/(-1)*(-87)\/174\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 159, -12, -97, -3\/7, -0.2, 2?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 353.5689nm in meters?\nAnswer: 0.0000003535689","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 507 and 2514837?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 20818893 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -110 + 10100001000?\nAnswer: 10100000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-89 - (17 - 76)) + -9?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) be the first derivative of m**4\/12 + 2*m**2 + 1. Let k(t) be the second derivative of l(t). Let h(i) = i - 6*i + i. Determine h(k(p)).\nAnswer: -8*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 11 - 320?\nAnswer: -306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0.487 + 0.043. Let k = r - 1.03. Which is the smallest value?  (a) k  (b) -6\/11  (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -327, -328, -341, -372, -427, -512, -633?\n\"Answer: -v**3 + 6*v - 332","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 255 minutes after 5:27 PM?\nAnswer: 9:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -207, -228, -285, -396, -579, -852, -1233, -1740?\nAnswer: -2391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = -545*j + 7649. Determine c(14).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*j + 28 = 19 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4*4013.\nAnswer: 16052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 34 - (16 - 0 - ((-3 - 3) + 14)).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 6 + (-94 - -62) - (-122 + 2)\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-1 + -23)*11\/11. Let l be (2\/y)\/(3\/6). Let a = -4.96 + -0.04. Sort a, -3, l.\nAnswer: a, -3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 356744?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = 2*q**2 + 6. Let s(l) = -2*l**2 + l - 6. Determine -4*g(t) - 3*s(t).\nAnswer: -2*t**2 - 3*t - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:50 PM and 3:29 AM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 134 and 660064436.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = w**2 + 12*w - 25. Let q be t(2). Let n(o) = -o**3 - o**2 + o - 1. Let f(y) = -7*y**3 - 3*y**2 + 5*y - 4. Determine q*n(j) - f(j).\nAnswer: 4*j**3 - 2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(119) - (sqrt(119) + 2*sqrt(119)*1 - sqrt(119)))*-6)\/(sqrt(70)\/sqrt(40) - 3*(sqrt(7) - (sqrt(7)*-2 + sqrt(7)))).\nAnswer: -12*sqrt(17)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express -353*a**2 - 2*a - 147*a**2 - 123*a**2 in the form g*a + m + h*a**2 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0002525 to 4 decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*f**3\/5 - 32*f**2\/5 + 76*f\/5 - 8.\nAnswer: -4*(f - 1)**2*(f + 10)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 2  (b) -4  (c) 19  (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 102712 (base 10) in base 9?\nAnswer: 165804","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -530 + -0.3.\nAnswer: -530.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 11311 (base 8) in base 13?\nAnswer: 225c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = 2*o - 6. Let b be w(4). Suppose -2*y = -4*z + 14, -5*y = 6*z - b*z - 35. List the prime factors of z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -3 + 5*c - 311060*c**4 + 311061*c**4 - 4*c**2 + 0*c**2 in the form d*c**2 + z + s*c**4 + h*c + q*c**3 and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 9280572 and 582.\nAnswer: 9280572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 28485 and 17091.\nAnswer: 85455","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:42 AM and 4:04 AM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -480 divided by 1?\nAnswer: -480","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -159*n*o**2 + 2*n*o + 27 wrt o?\nAnswer: -318*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -116*v = 160*v + 19096164000. Round v to the nearest 1000000.\nAnswer: -69000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -v + 2*v = 3*h - 10, -3*v - 10 = h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, 5, 12\/7, -5, 16 in increasing order.\nAnswer: -5, 0, 12\/7, 5, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -b + 4 = m + 6, 4 = m - 2*b for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*u - 0*u. Let m = 0.981 - 1.381. Let g = 84.7 - 84. Which is the smallest value?  (a) g  (b) u  (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -5679 + -47?\nAnswer: -56c2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a be -386198 + 0 - (-6 + 4). Let m be (a\/2320)\/(1\/6). Let s = 4999\/5 + m. Calculate the common denominator of 34\/7 and s.\nAnswer: 406","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -70 - -241. What is the highest common divisor of s and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -3420826 + 2?\nAnswer: -3420824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -268.43016 + 286.43. Let t = s - 18. What is t rounded to 4 dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7766 rounded to the nearest 1000?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g + 17 = 2*z - 6, -3*g + z + 76 = 0. What is the remainder when g is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = -28*s + 109. Calculate h(-14).\nAnswer: 501","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 15671?\nAnswer: 15671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 17 a factor of 15 + ((-120)\/(-20) - -92521)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 40310?\nAnswer: 2, 5, 29, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j\/(j*(j\/(j*(j**(1\/2)*j)\/j*j))\/j))\/((j*j*(j**(16\/7)*j)\/j*j)\/j) assuming j is positive.\nAnswer: j**(-25\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 83004397?\nAnswer: 7, 47, 252293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (129\/8)\/3 - (-87)\/(-232). Solve 11 = -3*c + n for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = -4 + 5 - 5 + 36*z + 5. Is s(13) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**(1\/13))**(-1)*(v\/(v**(1\/27)*v))**17 assuming v is positive.\nAnswer: v**(-248\/351)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Determine o so that 4320*o - 4048 - 13611 + 642 + 185*o**4 + 5*o**5 - 263 + 10440*o**2 + 2330*o**3 = 0.\nAnswer: -12, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5362 is divided by 595?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) -1\/2  (b) 48  (c) -8  (d) 4.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = -17*a**2 - 23. Let l(o) = -o**2 - o + 4. Let s(c) = -7*c**2 - 6*c + 24. Let p(q) = -6*l(q) + s(q). Give f(p(m)).\nAnswer: -17*m**4 - 23","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 bigger than 4645\/3601?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 242 and 80?\nAnswer: 9680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = -w**3 - 5*w**2 + 3*w + 8. Let x be (-27)\/90*5*4. Calculate s(x).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-1)\/((7 + -2)\/(-15)). Let x = -12 - -16. Solve 9 = 2*y - 4*h - 1, -o*y = x*h + 15 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 100010 - -11010010011001011011?\nAnswer: 11010010011001111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 1008 and 252?\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 40257522?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*m + 0*m + m)*(-5*m + 0*m + 2*m).\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 17834304.\nAnswer: 2, 3, 29, 3203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1\/4 or 8642?\nAnswer: 8642","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (1063560\/(-80))\/(30\/14). Let s = x - -6210. What is the common denominator of 67\/112 and s?\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (4*530\/(-80))\/((-4)\/8). Suppose -22*v + 13 + z = 0. Let 2*o**2 - 5\/4*o**4 - 7\/4*o**v + o + 0 = 0. What is o?\nAnswer: -2, -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -29428 - -30065. What is the remainder when r is divided by 111?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 29800 < 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-10 + 1)*(-4 - 2\/(-1)). Is -2 + 897 + 0\/g a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*k + 465 = -k. Find the first derivative of 5 - 93*q**2 - 2*q**3 + 3 + k*q**2 wrt q.\nAnswer: -6*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = 6*u - 12. Let y be h(2). Let l(c) be the second derivative of -3*c + 0*c**2 - 1\/18*c**3 + y - 1\/36*c**4. Factor l(x).\nAnswer: -x*(x + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 3645542.3 or -0.1?\nAnswer: 3645542.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 13.7 times -0.06?\nAnswer: -0.822","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 16206\/5 + -3241. Is r smaller than -11\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, -3\/4, 38\/1532769 in descending order.\nAnswer: 38\/1532769, -3\/4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 1067918 to the power of 1\/2, to the nearest integer?\nAnswer: 1033","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = -184*y - 734. What is j(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -1579, 214, -58 in increasing order.\nAnswer: -1579, -58, -3, 214","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) 1  (b) -54  (c) 5  (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -214*f**3 + 29635200 - 2475*f**2 + 70508*f**2 + 4021920*f + 5*f**4 + 50407*f**2 + 1524*f**3 = 0. Calculate f.\nAnswer: -84, -10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2939 a factor of 28683235?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 = -5*v + 5*a, -12*v = -8*v - a - 2. Round v to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = -j**3 - 101*j**2 + 100*j - 203. Let h be c(-102). Let l = -0.2 + 1.2. What is the closest to h in 4, 43, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:42 AM and 9:32 PM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 18 = -9*b - 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 4\/(-8)*2*-2. Suppose -40 = -j*h - 3*h. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve p + 0*p = -3*c + 15, -4*p + 32 = 5*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) be the second derivative of -213*n**5\/20 - 3*n**3\/2 + 23*n**2\/2 - 15*n + 4. What is the second derivative of g(q) wrt q?\nAnswer: -1278*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0.0912 + 4.6788. Let u = z - 4. Round u to one dp.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 1570578 + -1570554.604475. Let r = 23.4 - w. What is r rounded to 4 decimal places?\nAnswer: 0.0045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m**4\/9 + 34*m**3\/9 - 40*m**2\/9 - 8*m = 0. Calculate m.\nAnswer: -18, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -3313, -9711, -19195, -31765, -47421, -66163?\nAnswer: -87991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*i + 14 + 1 = -n, 2*n + 4*i = 6. Let x = n + 6. Let p(c) = -6*c**2 + c. Let s(g) = 13*g**2 - g - 1. Let a(y) = -9*p(y) - 4*s(y). Determine a(x).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is fifty-three fifths of a litre in millilitres?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 39*l**4 + 8*l**3*m - 2*l**2 + l - 31734*m + 7 wrt l.\nAnswer: 156*l**3 + 24*l**2*m - 4*l + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -15.8 - -38.9. Let r = y + -23.876. What is r rounded to 1 decimal place?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**(-30))**(-42) assuming u is positive.\nAnswer: u**1260","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-116)\/8 - (-1)\/(-2). Let h be (-9)\/(-4) + o\/(-20). Suppose -h*c + 35 = 2. What are the prime factors of c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (g + 2 - 2)*(1 + 1 + 0) + 5*g + 0*g - 4*g + 21*g - 7*g + 16*g + 12*g - 6*g + 0*g.\nAnswer: 39*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 224 + -197.2. Let t = -1060.3 - -1087.3. Let s = t - k. Sort -4, s, 31 in descending order.\nAnswer: 31, s, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 9446 + -6435. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2410049119 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1920)\/256*(432\/30)\/(-4).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-10)\/30 + 84\/9. Suppose 0 = 5*t + c - 1, c = -3*t + 4*c + 15. Let l be ((-1)\/1 + -1)*-1. Solve -l*d = t - k for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = -p**3 - 7*p**2 - 10*p - 29. Let q be b(-4). Let z = q - -39. Let s(r) = 4*r**2 + r - 1. Give s(z).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 2215 + -2216. What is the closest to 0.035 in l, -2, 2, -3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {t: 2, q: 1, i: 2}. What is prob of sequence qi?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-6)\/8)\/(38\/(-19)).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*n**2 + 6710018*n + 20130036.\nAnswer: 2*(n + 3)*(n + 3355006)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3*u - 2 - 4*u + 5*u)*(-8*u**2 + 2*u + 10*u**2 - 13*u**2)*(-9 + 9 - 4*u) to l*u**4 + v + c*u**3 + f*u + m*u**2 and give l.\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -16 + -2190?\nAnswer: -21a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -33\/1076068 and 31\/14?\nAnswer: 1076068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 237085 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 313482578.\nAnswer: 2, 137, 163, 7019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 8\/(-6) - (-20)\/12?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = 2*o**3 - 6*o**2 + 1. Let f be p(4). Suppose k = -2*k + f. Calculate the greatest common factor of 1 and k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = 24*d - 69. Give x(5).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 195170 is divided by 1490.\nAnswer: 1470","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l be -1*25\/(-30)*(-11)\/55. Let u = 1 + -3. Which is the second biggest value?  (a) l  (b) u  (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 4948816.9415 + -0.0442.\nAnswer: 4948816.8973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.008 - 4.992. Let f = -8 - w. Let k be (-6)\/(-16) - (-2)\/(-4). Put 4, f, k in decreasing order.\nAnswer: 4, k, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) be the first derivative of 0*h**5 + 0*h**4 + 0*h**3 + 1\/3*h**6 + 2 + 1\/2*h**2 + 0*h. What is the second derivative of t(n) wrt n?\nAnswer: 40*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = 7*i. Let v(y) = 5*y**2 - 6*y + 12. Let g(u) = 3*u**2 - 3*u. Let r(b) = 4*g(b) - 2*v(b). Calculate k(r(o)).\nAnswer: 14*o**2 - 168","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -2\/5, -3, 9\/16, 0.4, -92?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = -a + 8. Let y be -7 - (-4 + 0) - -9. Let b be j(y). Find the second derivative of 9*r - 10*r + 6*r + 14*r**b - 6*r**2 wrt r.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*f - 10 = -0*f. Let s(d) be the second derivative of -d**5\/10 + d**4\/6 + d**3\/2 - 3*d**2\/2 + d - 155. Give s(f).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 12 - (24 - (8 - -6)). Solve -3*k = q*l - 2*k + 4, 4*k = -4*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3956109 is divided by 989025.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 0.5  (b) 0.2  (c) -1\/4  (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 1721 + -1715.9. Sort 1\/2, v, -0.5.\nAnswer: -0.5, 1\/2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 142.03961 to the nearest integer.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 145.21 - 153. Let d = t - 0.21. What is the second biggest value in d, -1\/2, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k - 3*m - 20 = 7*k, 10 = -2*m. Let s be ((-3)\/6)\/(k\/10). Solve 5*v = 4*r + r - 10, -r = s*v - 20 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 40 - -1 - (-95 + (123 - 8))\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2 + 1 + 0 - 5) + 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 29.6?  (a) 15  (b) 4\/3  (c) -2\/13  (d) 0.4  (e) 3.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = -m**2 - 6*m + 3. Let y be k(-6). Suppose 0 = 2*z - b + 14, 3*z - 8*z = y*b + 13. Put 2, -1, z in ascending order.\nAnswer: z, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 598485707 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 402 is divided by 45?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1326525?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2 - 98*l**2 + 544*l**2 + 2.\nAnswer: 446*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = -u**3 + 11*u**2 + 777*u - 8449. Give o(11).\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = -7*o - 43. Let f be h(-6). What is the third biggest value in -1\/2, f, -0.4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 876 from -61.\nAnswer: -937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {q: 9, y: 3, t: 4, w: 4}. Give prob of picking 1 y and 1 w.\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 170002 less than 33?\nAnswer: -169969","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -3*o**3*t**3 + 211*o**3*t**2 - 257*o**2*t**2 + 7*t**3 wrt o?\nAnswer: -18*t**3 + 1266*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Does 12 divide 40543416?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -4, 38, -3, -1955, -0.5, 0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = 0 - 1 - 8*n**2 - n**3 - 7*n + 3. Let x be s(-7). Find the third derivative of -x*q**3 - 6*q**5 + 4*q**2 + 2*q**3 + 5*q**5 wrt q.\nAnswer: -60*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v*v\/v**(-1\/16)*v*v**(-10)*(v*v\/v**(-2\/3))**(5\/11))**(-17) assuming v is positive.\nAnswer: v**(51391\/528)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 6 a factor of 3000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is (-6)\/(-12)*6\/(-9)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -989 + 1052. Suppose 61 = 3*w - m, -g = -2*w - w + 3*m. Solve s - w = -4*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 18*h = 3*r - 28*h + 45*h - 53, 5*r = 40*h + 1660 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 86\/(-1032) + (-5105)\/(-60) + 20?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 100001010022211 (base 3) to base 13\nAnswer: cc3154","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Work out 2.53782 - 338.\nAnswer: -335.46218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 564 and 636756.\nAnswer: 564","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = -o**2 + 25. Let h be f(-12). List the prime factors of (17\/h)\/((-4)\/14)*644.\nAnswer: 2, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = 15*k**2 - 25*k - 7. Let q(u) = 59*u**2 - 101*u - 26. Let x(t) = -9*p(t) + 2*q(t). Let j(f) = -6*f**2 + 8*f + 4. Give 11*j(y) - 4*x(y).\nAnswer: 2*y**2 - 4*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1507977?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-42)\/(112\/8)*1\/1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-2)\/10 + 231\/105. Does 5 divide 349\/9 + v + 64\/(-36)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -8, -12, -18, -26?\n\"Answer: -z**2 - z - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 925 divide 169312000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence eww when three letters picked without replacement from {w: 5, e: 14}?\nAnswer: 140\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = 22*f**3 + 14*f**3 - 4*f - 38*f**3 + 6 - 3*f**2. Let d(p) = 2*p**3 + 4*p**2 + 5*p - 7. Give -4*d(r) - 5*y(r).\nAnswer: 2*r**3 - r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*l - 2*l - 3*l)*((3863 - 3863 - l**2 - 134*l)*(2*l + 0 + 0) + 0*l**3 - l**3 + 2*l**3).\nAnswer: 5*l**4 + 1340*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many nanoseconds are there in 75579.16ms?\nAnswer: 75579160000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8*d**2 - 2360609*d + 2360609*d.\nAnswer: 8*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 400486111 to the power of 1\/7, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 44, 70, 134, 254, 448, 734?\n\"Answer: 3*g**3 + g**2 + 2*g + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = 209*g**2 + 5045*g - 13. Determine p(-24).\nAnswer: -709","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) be the third derivative of g**5\/30 + 17*g**4\/12 + 16*g**3\/3 - 7*g**2 + 2*g. What is the first derivative of v(z) wrt z?\nAnswer: 4*z + 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0005963105083 to four decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**(4\/3)*p*p)\/(p*p**6)*(p**(1\/2))**(2\/7) assuming p is positive.\nAnswer: p**(-74\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Put -843, 1\/6, -5, -50\/3 in decreasing order.\nAnswer: 1\/6, -5, -50\/3, -843","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 2482607 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 59 + 221. Calculate the least common multiple of q and 14.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 135.36369ms to weeks.\nAnswer: 0.000000223815625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 3\/((-7)\/((-14)\/(-3))). What are the prime factors of t\/9 - 5776\/(-72)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 76.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z - 53 = -3*p, 15*p - 22 = 14*p + 4*z. Let g(t) be the first derivative of -t**4\/4 + t**3\/3 + 16*t - 4. Let m be g(0). Is m at most as big as p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = 5*d + 1. Let s(x) = 10*x**2 - 22*x**2 + 9*x**2 + 2*x**2. Determine b(s(y)).\nAnswer: -5*y**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -31065 (base 14) to base 6\nAnswer: -2310401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -528012 = -39*f - 90198. What is the smallest common multiple of 18 and f?\nAnswer: 33678","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 153697.\nAnswer: 17, 9041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 270 is divided by 62\/2 + (13 - 5) + -5.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*a - 5*y - 21, 0*a - 5*a + 4*y + 27 = 0. Suppose -12 = -a*b - 3. Suppose -5*x + 5 = -5. Are x and b nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = -9*d - 55. What is g(-4)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {c: 8, m: 3, b: 3, f: 1, y: 3}. Give prob of sequence yy.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*f - u + 6*u - 87, 57 = 3*f - 5*u. Suppose f = 17*g - 10. Suppose m + g*o = 6*m - 926, -3*m = -o - 555. What are the prime factors of m?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 15 - 11. Find the third derivative of -28*j**2 - 13*j + 13*j + 45*j**4 - 13*j**u wrt j.\nAnswer: 768*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 s and 1 n when three letters picked without replacement from nnnnsnnnnnnnnnnsns?\nAnswer: 15\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 567, 4973, 17341, 41781, 82403, 143317, 228633, 342461?\nAnswer: 488911","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7125 = 20*c - 9535. Let m(n) = 828 - c + n**2 + 6*n + n**2. Determine m(-5).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = -68*w**2 - 10*w - 69. Let x(o) = 2*o + 18. What is g(k) + 4*x(k)?\nAnswer: -68*k**2 - 2*k + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -94108*d*g*x**5 + d*x**2 - d*x + 17*d + 7*g*x**6 + 2*g*x - 5*g + 133*x wrt x?\nAnswer: -5646480*d*g*x**2 + 840*g*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = 447*s + 12546. Calculate x(-28).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) be the first derivative of -3*z**2\/2 + 2. Let f be x(-1). Factor 24*a**4 + a**5 - 2*a**f - 24*a**4 + a.\nAnswer: a*(a - 1)**2*(a + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 24*c - 118*c**3 - c**2 - 10*c**2 + 10*c**2 + 147*c**3 in the form o*c**2 + t + l*c + h*c**3 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -c0fc (base 16) to base 14\nAnswer: -1400c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor 0*b + 0 + 4\/7*b**3 - 4\/7*b**2 - 1\/7*b**4.\nAnswer: -b**2*(b - 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 12946 - 6463 + 42853*a - 6483 to y + g*a and give g.\nAnswer: 42853","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*r**5 + 2*r**5 + 3*r**5 + (-2*r**2 - 2*r + 2*r)*(-r**3 - 5*r**3 + 3*r**3).\nAnswer: 9*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Convert 314 (base 7) to base 15.\nAnswer: a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a\/(a\/(a\/a**(-2\/5))*a))\/(a**(-1\/11)\/a)*(((a*a**(-3))\/a)\/a)\/a**(-2\/3)*(a**(-1))**8*a*a**(-3\/5)*a*(a**9\/a)\/a assuming a is positive.\nAnswer: a**(-238\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = -19*g. Let f(t) be the third derivative of t**4\/12 - 3*t**2 - 5. Give u(f(q)).\nAnswer: -38*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 8312409?\nAnswer: 3, 7, 61, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -1237, -0.6, 360\/19, 3, -3\/2?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = 70*h + 702. Let f = 4478 + -4488. Give d(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(52)\/(2*sqrt(4))*-3.\nAnswer: -3*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 17645782 and 1078.\nAnswer: 1078","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Divide 17 by 1.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -0.15 - -1.05. Let w = x - 2.9. Let u = w - -1.8. Sort -0.1, 1\/5, u in descending order.\nAnswer: 1\/5, -0.1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = 88*l**2 + 1216*l - 2509. Calculate f(2).\nAnswer: 275","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = 3 - m + 7 - 6 - 4*m. Suppose -4*r = -2*o - 14, -3*r + r - 2*o + 16 = 0. What is the remainder when q(-3) is divided by r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*r**3\/5 - 15216*r**2\/5 - 5860512*r - 274337280.\nAnswer: -2*(r + 48)*(r + 3780)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*y**4\/9 + 56*y**3\/9 - 584*y**2\/9 + 896*y\/3 - 512.\nAnswer: -2*(y - 8)**2*(y - 6)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Determine m so that 2*m**3\/17 + 22*m**2\/17 + 62*m\/17 + 42\/17 = 0.\nAnswer: -7, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 35 a factor of 28140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2*d**2 + 18*d**3 - 4*d**2 - 14*d**3 + 5*d**2 wrt d.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 31 - 19. Let k(z) = t - 5*z**2 - 1 - z - 4 - 6. Let u be k(1). Let w(g) = -g**3 - 6*g**2 - 4*g. Calculate w(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -39 + 37. Let u(h) = 2*h - 3. Let b be u(5). Let n = b - l. Calculate the highest common divisor of n and 63.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -770.5620453 to one dp.\nAnswer: -770.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -33*s**4 - 103*s**3 + 105203*s**2 wrt s?\nAnswer: -792*s - 618","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:39 PM and 10:16 PM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 11912?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 1101 (base 2) in base 7?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*h - 8, 0*h = -5*s + h + 26. Let l = s - 15. Which is smaller: -8 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -330 + 218. Let y = 105 - b. List the prime factors of y.\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hhhp when four letters picked without replacement from hpphhhp.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 106 + -104. Suppose 5*i = 2*p - 6*p + 338, p = -f*i + 134. What is the lowest common multiple of i and 24?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -333 (base 6) to base 5.\nAnswer: -1004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 o and 1 w when three letters picked without replacement from ovfzvozfzfdwww?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -11809 + 117829\/10. Is -27 less than or equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) be the first derivative of -z**5\/30 + 5*z**4\/12 + 2*z**3 - 29*z**2\/2 + 4*z + 134. Let s(t) be the second derivative of x(t). Let s(p) = 0. What is p?\nAnswer: -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1482)\/495 - (-1410)\/517.\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 2 - 3. Let a(t) = t + 5. Let o(p) = 0 - 4 + 3. Let r(w) = 4*w**3 - 5*w**2 + 3*w + 6. Let n be r(-1). What is n*o(z) + x*a(z)?\nAnswer: -z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = -81488*s - 81482. Determine j(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -89294, -178642, -267980, -357302, -446602, -535874, -625112?\nAnswer: -714310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 844480, 1688980, 2533480, 3377980?\nAnswer: 4222480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1523458 and 228.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2 - -8) + -14 + (-3 - -9).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = -g**2 - 6*g - 6. Let n be a(-8). Let u = n + 27. Let d = u + 9. What is the least common multiple of 12 and d?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in 2\/21 of a week?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is (3 - 5)\/(3 + 10\/(-4))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = 236*q + 14638. Determine u(-62).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence nz when two letters picked without replacement from ntngtngtszb?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -8996 or -8898?\nAnswer: -8996","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = -2*w. Let p(t) = 2*t - 51. What is i(p(x))?\nAnswer: -4*x + 102","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -27140 in -0.3, 0.2, -1, -1\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -12 + 10. Let t be 99\/21 - (2 - l). Let r = 3\/14 - t. Which is the second smallest value?  (a) 0.3  (b) r  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*(-4 + -6*((sqrt(432) - (sqrt(432) - sqrt(432)*3)) + 3 + 3)*-4)**2.\nAnswer: -6777264 - 725760*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = -w**2 - 14 + 3 + 3 - 6*w - 4*w. Let d be k(-9). Let j = 143\/285 + -7\/19. Which is bigger: j or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = -d**3 - 7*d**2 + 28*d - 33. What is g(-10)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -9881, -9874, -9853, -9812, -9745, -9646?\n\"Answer: y**3 + y**2 - 3*y - 9880","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -1073\/9 - -119. Let z = -64.1 - -64. What is the nearest to z in x, -4, -3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -20 - 19. Let f = -72 + 140. Let b = q + f. Is b a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-1 + (-6)\/3)*(-6)\/54. Sort d, -4, -5.\nAnswer: -5, -4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ggasagfg. What is prob of sequence gaf?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -25*a**2 + 37*a**2 + 43*a**2.\nAnswer: 55*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -3.4 - -3.3. Let m = -1 - 3. What is the biggest value in j, -2, m?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = a**3 - 3*a**2 + a. Let o be m(2). What is the remainder when ((-6)\/(-8))\/((-9)\/(-1230)) + 111\/(-74) is divided by 198\/7 - o\/(-7)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 15*t + 7*t**2 - 15*t.\nAnswer: 7*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1834*k + 142785 = -3337*k for k.\nAnswer: -95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 18 - 15 - (2 - 1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*d - 13 - 14 - 8 + 10.\nAnswer: -2*d - 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = -2*j + 16. Let i(g) be the third derivative of -g**4\/12 + 26*g**2. Determine i(o(f)).\nAnswer: 4*f - 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -193966, -193967, -193968, -193969?\n\"Answer: -s - 193965","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 48\/(-96)*-2*1\/4. What is the closest to -3 in a, 0.1, 0.76, 1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 36 and 10924.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is (-21*(-36)\/(-1386))\/(((-48)\/720)\/((-33)\/(-81)))?\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1 - 5 - (142 - 143)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 7661531 equal to 53630727\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let 3*n**4 + 78*n**3 - 81*n**2 = 0. Calculate n.\nAnswer: -27, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.23819 to three decimal places.\nAnswer: 0.238","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3341.\nAnswer: 13, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = 39*u - 85. Let n be o(9). Suppose 0 = 122*m - 115*m - n. Let y = 587 - 397. What is the greatest common divisor of y and m?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -4\/3 + 38\/33. Let l = 135 - 135.7. Which is the second smallest value?  (a) l  (b) -2\/7  (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when (-6)\/((-33)\/4 - (-208)\/26) is divided by 23?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 7448412 by 3724206.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -20 + (-15 - -18 - -2) - -58.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = a**3 - 4*a**2 - a + 3. Let t be m(3). Let p be (1 + -70)*t\/27. Is 22 < p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 485 + 7*t - 485 + 5*t to the form n*t + m and give n.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 266 a factor of 380885932?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-2172)\/(-18) - (-4)\/(-6). Round b to the nearest 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 10 (base 6) to base 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: ((-2)\/(-3) + 0)*-6 + (-1195)\/((-13225065)\/44982)\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = 41 + a - 42 + a**3 + 0*a**3. Let o be q(2). Let f(l) = -l**2 + 8*l + 10. What is f(o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*t + 147 = -518. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (8\/(-8))\/(4\/(-48)*2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is abcd3 - 13c?\nAnswer: abb96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -4 + 2 - (-2 + 0)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -8596 - -60169\/7. What is the closest to 2\/3 in 5, 2\/3, f?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 2\/7*7\/4*-322. Let s be 1\/(4\/14 + (-115)\/d). Let k = 10 + -4. What is the fourth biggest value in -4, k, s, 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = -92*q**3 - 17*q**2 + 16*q + 335. Let m(r) = -31*r**3 - 6*r**2 + 6*r + 112. Let o(w) = 3*b(w) - 8*m(w). Find the first derivative of o(k) wrt k.\nAnswer: -84*k**2 - 6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:08 PM and 10:48 PM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -2 - (-4)\/((-10340)\/(-5013)). Let o = y + 2\/47. Let g = -113\/165 - o. What is the nearest to 0.1 in g, 0.3, -3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z - 85 + 43 = 0. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4\/155, -0.12388, -3.\nAnswer: -3, -0.12388, 4\/155","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = -t**3 + 48*t**2 - 564*t - 177. Give u(22).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n + 0 = -3. Suppose 5*z = -3*m + 8, n*m - 12 = -2*z + 4*m. Solve -z*h = -h + 9 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = 7*t**2 + 5*t + 1. Let v = 14461 - 14456. Let r(s) = -14*s**2 - 9*s - 1. Give v*q(w) + 3*r(w).\nAnswer: -7*w**2 - 2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 2\/5, 12, -1\/4, -0.4, 0.5, 60?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-6)\/(-8) - ((-91998)\/24 - -2). Is (-1)\/3 - o\/(-12) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1203 is divided by 218?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 20008, 80060, 180146, 320266?\n\"Answer: 20017*f**2 + f - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 f and 1 n when two letters picked without replacement from {f: 1, x: 1, j: 2, n: 1, l: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 612 is divided by 154?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 27221\/22 - 1241. What is the common denominator of 5\/2 and n?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -8\/62679301 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 123*z - 253*z + 4*j + 1 = -125*z, 2*z = 2*j for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u = -u - u. Suppose -3*i = 4*z - 76, 3*i - 56 = z - u*z. Let n = i + -11. Solve 2*d = 5*m - 25, 4*m - 29 = 4*d - n for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = 108*z**3 - 2*z**2 - 14*z. Let f(a) = 54*a**3 - a**2 - 8*a. Give -7*f(p) + 4*l(p).\nAnswer: 54*p**3 - p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = -h**3 + h**2 + h + 1165. Let d be a(0). List the prime factors of 21\/42*(d - -1).\nAnswer: 11, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = -158*m**2 - 2*m + 3. Let s(r) = -7*r + 3. Calculate t(s(o)).\nAnswer: -7742*o**2 + 6650*o - 1425","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-18)\/84*4\/6. Which is the closest to x?  (a) 1  (b) 2  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = 58265463*i. Let p(g) = -9*g. Give p(y(h)).\nAnswer: -524389167*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = w**3 - 4*w**2 - w - 5. Let m = -11 - -13. Suppose 20 = m*x - 2*a, 4*a = 2*x + a - 25. What is the units digit of g(x)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = 8*o + 0 - 3 - 3 - 5. Let j be p(5). Suppose -j = 7*a - 218. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 0 by -288179100.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 2209, 1871, 1567, 1297, 1061, 859?\n\"Answer: 17*r**2 - 389*r + 2581","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d**3\/2 - 120*d**2 + 486*d - 488 = 0. Calculate d.\nAnswer: -244, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.27 greater than or equal to -41464321?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -19*v + 18 = -39. Which is the closest to v?  (a) 4  (b) 0.3  (c) 0.5  (d) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -320 at least -319?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) be the first derivative of -458*d**5\/5 - d**4\/2 + 2*d**3\/3 + 99*d**2 + 2*d - 2329. What is the second derivative of s(h) wrt h?\nAnswer: -5496*h**2 - 12*h + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = -k - 3. Let c be -8 - (2\/(-2) + -1). Let i = c + 3. Let x be f(i). Solve -3*d = -4*q + 2 - 10, 4*q - 4*d + 8 = x for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 h and 2 q when three letters picked without replacement from hqqqhqqqhqhqqqqqqqq.\nAnswer: 140\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: (4*(-10)\/(-8200))\/((-1)\/5)\nAnswer: -1\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 253*v**2 + 255*v**2 - 1017*v**2 + 251*v**2 + 251*v**2.\nAnswer: -7*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from sssssssss. Give prob of picking 2 s.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-70)\/490)\/(79\/(-42028)).\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 51*u**5 + 1559790*u**3 - u**2 - 287363 wrt u.\nAnswer: 3060*u**2 + 9358740","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert -663542 (base 7) to base 12.\nAnswer: -57548","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -513, -506, -499?\n\"Answer: 7*i - 520","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Express (121*h**3 - 6*h + 155857 - 155857)*(0*h + 2*h - 3*h) in the form w*h**4 + z + c*h + s*h**3 + b*h**2 and give b.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 0.7391065ml?\nAnswer: 0.0007391065","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 227225 + -6?\nAnswer: 22721c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {b: 3, p: 2, v: 3, e: 1, s: 1, a: 3}. Give prob of picking 1 b and 1 a.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) be the first derivative of -14\/55*l**5 - 1\/33*l**6 - 24 - 50\/33*l**3 - 19\/22*l**4 - 16\/11*l**2 - 8\/11*l. Factor c(m).\nAnswer: -2*(m + 1)**3*(m + 2)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1393 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 1362 and 9?\nAnswer: 4086","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -62 - -89. Suppose 3*s - 3*n - q = 0, -12 = 4*s - 3*n - 46. What is the remainder when 17 is divided by s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -402 or -192?\nAnswer: -192","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:20 AM and 7:16 PM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {y: 15, b: 5}. Give prob of picking 4 y.\nAnswer: 91\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -41\/187 and 59\/153.\nAnswer: 1683","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2\/7)\/(9\/63)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 19 + -16. Let k be -2*h\/((-12)\/92). Suppose 3*x - k = 143. Is x a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1.13 - 0.13. Suppose -2*n - 5*a + 8 = 0, 5*n - 7*a - 20 = -10*a. What is the biggest value in j, n, -3\/5, 2\/5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 3, -6, -4, -8, 4355 in increasing order.\nAnswer: -8, -6, -4, -1, 3, 4355","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 16.43 and -0.1?\nAnswer: -1.643","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 696*m - 97364 = 1475*m - 1743*m for m.\nAnswer: 101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-16)\/224*4\/(-1)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 287461 < 3736989\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 5\/2*11\/((-1540)\/24).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 3040 and 208544?\nAnswer: 608","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {o: 2, c: 18}. What is prob of picking 3 c?\nAnswer: 68\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 152 + -141. Let u(z) = -2 + 36*z**2 - q*z**2 - 13*z**2 + 18 - 13*z**2. Calculate u(0).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -34, -2, 1, 4, 5 in descending order.\nAnswer: 5, 4, 1, -2, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.1, -2\/25, 415, -5, 11 in decreasing order.\nAnswer: 415, 11, 0.1, -2\/25, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round 236057470 to the nearest one million.\nAnswer: 236000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -235247249*q**2*v - 2*q**2 + 3003432*q + 2 wrt v.\nAnswer: -235247249*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -786 - 11?\nAnswer: -797","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 80417677 is divided by 560?\nAnswer: 557","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 2030 and 11774.\nAnswer: 406","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 128121557 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, 8, -228, -1, -5, 6 in decreasing order.\nAnswer: 8, 6, 2, -1, -5, -228","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = -6*v**2 - 28 + 52 - v**3 - 23. Let s = -695 - -689. Determine c(s).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r*r*r*r\/((r*r**(-2\/5))\/r)*r)**(2\/87)\/((r\/((r*r**(3\/11))\/r))\/(r*r**(-7)*r)) assuming r is positive.\nAnswer: r**(-8937\/1595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h*h**(-1\/6)*h*h)**13 assuming h is positive.\nAnswer: h**(221\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -4173, -16581, -37261, -66213?\nAnswer: -103437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*y - 15 = 9*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 4051 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = 2*f**2 + 2*f**2 + 2*f**2 - 7*f**2 + 8*f + 4. Let h be s(8). What is the third derivative of -2*b**4 + 3*b**4 + 25*b**2 + 7*b**4 + 12*b**h wrt b?\nAnswer: 480*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (5\/45)\/(0 - (-2)\/9). What is the fourth biggest value in q, -4, -2, 3\/7?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 14\/809 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (4 - (8 - 7)) + 5.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1904064 and 38824.\nAnswer: 1688","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4726 is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ttztzztttttzzttttzt. What is prob of picking 1 t and 2 z?\nAnswer: 65\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = -9*k + 32. Let c be q(4). What is the smallest value in -0.5, c, -73?\nAnswer: -73","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1011010100110100000 + 1?\nAnswer: 1011010100110100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 j and 1 z when two letters picked without replacement from {j: 1, z: 1, n: 1, d: 1, s: 2, c: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 2587 or 2601?\nAnswer: 2601","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*f + 8 = 12*y, 37 = -4*f + y + 40 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 176000094?\nAnswer: 2, 3, 23, 141707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is one fifth of a century in years?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 372342 and 54.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 16464?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.07 - -0.07. Let r be (-2)\/3*(-4 - -64). Let g be r\/(-168) - (-2)\/(-6). Which is the closest to k?  (a) -0.2  (b) -1\/7  (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 52*r + r + 159 = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = -5*z**2 - 4. Suppose -4*s = 4, -4*t + 0*s + 18 = 2*s. Let h(k) = -7. Let x(p) = -3*p**2 - 13. Let c(a) = -3*h(a) + 2*x(a). Give t*y(u) - 4*c(u).\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -64 + 60. Let d = 7 + -3. Which is the closest to -3?  (a) -0.4  (b) g  (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6*l + l**2 - 4 - 16*l + 26*l)*(0*l + 2*l + l).\nAnswer: 3*l**3 + 12*l**2 - 12*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 101*c + 3 = 102*c. Is 3 smaller than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 165*y**2 + 176*y**2 + 35*y - 326*y wrt y.\nAnswer: 682","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1.4 - 130717035511665.\nAnswer: -130717035511663.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 21 in -1\/3, 0.4, 0?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 27\/10 and 38\/21073.\nAnswer: 210730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(95) - 2*-4*sqrt(95) - (sqrt(95) + sqrt(95) + 2*sqrt(95)*1))\/(-4*(sqrt(55)\/(-2*sqrt(11)) - sqrt(5) - sqrt(25)\/sqrt(5)*-2)).\nAnswer: -5*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (8\/144)\/(2\/9).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 1d3 (base 16) to base 14\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = 12*v + 56. Is a(17) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*h - 2*r - 37, -2*h - 3*r - 8 = 20. Let b(c) = c**2 + 16*c. Let z(x) be the second derivative of -x**3\/2 + 12*x. Give h*z(p) - 2*b(p).\nAnswer: -2*p**2 + p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.06 + -1.94. Let y be (-2)\/(-4)*(-7 - -8)*-6. Let o = -13.973 - 0.027. Put y, o, 2, p in decreasing order.\nAnswer: 2, p, y, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 6 and 13724.\nAnswer: 41172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: ((-81)\/(-162))\/((-5)\/(-65))\nAnswer: 13\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1*sqrt(117) - sqrt(117))\/sqrt(9))**2 - ((2*sqrt(91))\/sqrt(7))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 30162 divided by 1371\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -42 - (((-4)\/(-1))\/(379 - 353) - (-24)\/13)?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 244461?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = -s**3 - 4*s**2 + 6*s - 8. Let o(z) = z**3 + 5*z**2 - 7*z + 9. Let h be (-77)\/(-33)*(-2)\/2*3. Give h*v(i) - 6*o(i).\nAnswer: i**3 - 2*i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 162579601 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 76898 or 347?\nAnswer: 76898","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -491 = -35*y - 421. Find u, given that 0 + 1\/2*u**y - 1\/4*u**3 - 1\/4*u = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is t in -2*t**3\/7 + 22*t**2\/7 - 68*t\/7 + 48\/7 = 0?\nAnswer: 1, 4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -6 divided by -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 15.04 + -15.05262. What is m rounded to 3 dps?\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -119\/132 and -91\/4.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*q + 7 = -l + 2*l, -15 = 3*l + 3*q for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 714464 is divided by 5623.\nAnswer: 343","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l\/(l**(-2)*l))**3\/(l\/l**(1\/2))**1)\/((l**3*l)**(11\/8))**38 assuming l is positive.\nAnswer: l**(-407\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1505971?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 0.3869758 * -0.1\nAnswer: -0.03869758","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = -y**2 + y + 5. Calculate q(-4).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 15282 is divided by 1223?\nAnswer: 606","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 4344 and 15204.\nAnswer: 30408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 133 - 60. List the prime factors of l.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -31646238 plus 11?\nAnswer: -31646227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let 1\/2*o**3 - o - 1\/2*o**2 + 0 = 0. Calculate o.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*f + 3498 - 3498 + f.\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 171479459518 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l be -4*(28\/(-252) - 3829\/(-36)). Let u = 621 - 1045. Is u at least as big as l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -21 divided by 72594.\nAnswer: -7\/24198","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -33186, -117200, -257224, -453258, -705302, -1013356, -1377420?\n\"Answer: -28005*q**2 + q - 5182","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 1667533752?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:31 AM and 11:30 AM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -5298, -22265, -50886, -91155, -143066, -206613?\nAnswer: -281790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 3293575?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = r**3 + 14*r**2 + 13*r + 7. Let m be d(-13). Let c = m + -19. Let w(h) = h**2 + 13*h + 23. What is the remainder when 27 is divided by w(c)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {o: 3, s: 5, q: 8}. What is prob of sequence so?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -91 + 126. Calculate the remainder when 100 is divided by z.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -101*p + 5019 - 759 = -55*p - 938 for p.\nAnswer: 113","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*j + 365642 + 365643 - 731285.\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 946 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (24\/(-8))\/((-2)\/12*9).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 4294272925 to the nearest integer?\nAnswer: 65531","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) be the third derivative of d**5\/90 + 11*d**4\/36 + 10*d**3\/9 + 280*d**2 + 1. Factor m(f).\nAnswer: 2*(f + 1)*(f + 10)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-68 + 50 + 245)*(-j + 3*j - j)*(j - 3*j + j).\nAnswer: -227*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -5, -76368.\nAnswer: -76368, -5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 12110 (base 4) in base 13?\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 52805389?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -4.8 + 286.8. Let l = n - 284.38. Round l to 1 dp.\nAnswer: -2.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -1\/12, -28, -0.2?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 7, -0.5, 1\/2, 0.1, -3\/7, 0, 6908?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1278675930?\nAnswer: 2, 3, 5, 7, 6088933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*(4 + (1*sqrt(2299))**2 + -5)*3*5.\nAnswer: -206820","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1052314*37.\nAnswer: 38935618","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*t**2 + 10*t**2 + 4*t**3 + 5*t**2 - 18*t**2 + 512*t - 2*t**3.\nAnswer: 2*t**3 + 2*t**2 + 512*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -1051.973 - -1051. Let f = -0.047 + k. Let r = f - -3.02. What is the second biggest value in -3, r, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -6 + 9. Let c = -0.6 + 0.9. Let w be (-248)\/558 - (-66)\/27. What is the nearest to w in -2\/5, c, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence wdd when three letters picked without replacement from {d: 10, l: 3, w: 1, e: 1, z: 2, k: 2}?\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = -18*a. Let x(g) = -2*g**2 + 7*g**2 - 3*g**2. Determine x(t(d)).\nAnswer: 648*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 32850707159 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 4307\/(-5) - 4\/(-8). Let l = n - -864. What is the common denominator of (-25)\/(-12)*44\/10 and l?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t - 10 = -2*y, -t - 4 = -3*y + 1. Suppose -p + t*a - 16 = 0, -3*p - p - 3*a = 45. Round p to zero dps.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 400898 a multiple of 323?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 divided by 8311.\nAnswer: -4\/8311","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -974, -1891, -2784, -3671, -4570?\n\"Answer: -3*j**3 + 30*j**2 - 986*j - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = i**3 + 10*i**2 - 10*i - 13. Let j be t(-11). Let d = j + 30. Calculate the smallest common multiple of d and 50\/(-10) - (5 - 16).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:02 AM and 10:11 AM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/7?  (a) -126  (b) 1\/5  (c) -0.5  (d) 3  (e) -29\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -15084 divided by -6\nAnswer: 2514","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 22*l - 1379 = -1467 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -28 + 49. Let p = k - 13. Let u = p + -5. Solve 0 = -u*f + 5*t + 34, 5*f + 0*t - 30 = 3*t for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k + 4*z + 64 = 0, -k + 3*z + 19 = -15. Solve -5*v + 13 = k for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 340442.73 + 1859.27. Let d = r + -342301.9699978. Let b = d - 0.03. What is b rounded to 6 dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 12835\/6 - 2163. What is the common denominator of p and 40\/499?\nAnswer: 2994","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z - z - 2 = 2*h, 3*h = 3*z + 27. Solve -h*d + 21 = -v, -3*d - 2*d + 4*v = -29 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (((-2)\/3)\/(24\/(-54)))\/6.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -20*x + 21*x - 6 = -n, 2*n = 2*x - 4 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 44456300 and 88912600?\nAnswer: 88912600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round 55175.77 to the nearest 100000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y + 3*a + 140 = 0, -y + 0*a + 2*a = -70. Let g = -67 + y. Determine b so that -8\/7*b**2 + 16\/7*b - b**4 - 1\/7*b**5 + 16\/7 - 16\/7*b**g = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 476646406 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 6543 - -44?\nAnswer: 6607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = -m**2 - 2*m - 2. Let r = 1 - 2. Let y(q) be the third derivative of q**3\/6 - 25*q**2. Calculate r*p(j) - 2*y(j).\nAnswer: j**2 + 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2824031*x - 5648055*x + 2824027*x.\nAnswer: 3*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = o**3 - o**2 - 1. Suppose 6 = 2*j + j. Let q(a) = -3*a - 2 + 4*a**j + 2. Let d(p) = h(p) + q(p). Calculate d(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00171502417 to five dps.\nAnswer: -0.00172","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 754 (base 11) in base 7?\nAnswer: 2433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*z - 43 = 5*b, 3*z + 19 = -3*b + 22 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*u + 13*u = -4. Let o be 7 - (-4)\/(4\/u). Solve o*j + 6 = 4*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 30673032, -1 in ascending order.\nAnswer: -3, -1, 30673032","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -158722 take away -14006?\nAnswer: -144716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Express 372 - 708 + 56*n + 338 in the form y + f*n and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 864?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1123.434 meters to kilometers.\nAnswer: 1.123434","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-2)\/11 + 270\/33. Suppose -120 = -x*t + 2*t. Calculate the lowest common multiple of t and 8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 8*b - 5*b + 66. Let w be 70\/9 + b\/(-99). Suppose -w*l = -13*l - 120. Is l <= -24?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 66256?\nAnswer: 2, 41, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 74 + -952093737\nAnswer: -952093663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 27737 is divided by 49.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9 + 12*f - 8 - 14*f.\nAnswer: -2*f - 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -48 + 28 + 41 - 36?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (d**2 + d**2 + d**2)*(-71 - 69 + 70*d + 142).\nAnswer: 210*d**3 + 6*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*k + 11*s + 7 = 10*s, -4*s = 7*k + 1 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 7*d**3*g - 316*d*g - d + 993*g + 27 wrt d.\nAnswer: 21*d**2*g - 316*g - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 5631?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 16867285 a multiple of 83?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = 4 + 6*z - 4 - 15*z. Let l(p) = p**2 + 4*p + 2. Let f be l(-3). Let j be h(f). Calculate the greatest common factor of 99 and j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -r + 2211 - 812. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((i\/(i*(i**5\/i)\/i))\/((i**1*i)\/i))\/(((i\/(i*i**(1\/2)))\/i)\/i**(-1\/15)))**3 assuming i is positive.\nAnswer: i**(-77\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 72981852?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"}
{"text":"Question: Determine q so that 2*q**2\/9 + 37036*q\/9 - 24443056\/9 = 0.\nAnswer: -19156, 638","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -10671, -10805, -11007, -11277, -11615?\n\"Answer: -34*u**2 - 32*u - 10605","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 42 + -40. Suppose 0 = f*w - 289 + 97. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*n**2 - 290615*n - 72654.\nAnswer: (n - 72654)*(4*n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -1\/3, 0.06, -134\/3?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = 24*b + 72. What is the tens digit of g(14)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 331 - -80. Let h = -411 + q. What is the fourth biggest value in -13, h, 5, 1\/3?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from jxxbxxjxxxxbxxbjxb. Give prob of sequence jxjx.\nAnswer: 11\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Determine c, given that 1520*c - 2373*c**2 - 17 + 2377*c**2 + 34 - 17 = 0.\nAnswer: -380, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0*c**4 + 2*c**4 + 1 + 28*c**3 - 31*c**3 - c**2 + 3*c**2 + 0*c**4 - 7*c to the form f*c + r*c**2 + t*c**4 + q*c**3 + h and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 325 - 284 - (1 + -19 + -20)?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of n*q**5 - 3*n*q - 343*q**5 + 184*q wrt q.\nAnswer: 20*n*q**3 - 6860*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((1*sqrt(2695) - sqrt(2695)) + sqrt(55) + sqrt(55) + sqrt(55))\/(sqrt(45)*4).\nAnswer: sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = 39*i + 41. Let x be r(-1). Which is the third smallest value?  (a) -0.5  (b) x  (c) -1\/7  (d) 31.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 + 3 + (8 - 7 - 7).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = 2*p**2 + 24*p - 18. Let n be w(-13). Let j(m) = m**3 - 7*m**2 - 7*m + 6. Is 6 a factor of j(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 2017 + -2017.04278. Round m to three decimal places.\nAnswer: -0.043","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 6*m - 17*m**2 - m**3 + 17*m**2 + 2*m as s*m + h*m**3 + a*m**2 + v and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = 5*a + 3. Determine b(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (920\/32 + -58)*4?\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:29 AM and 3:57 PM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) be the second derivative of -5*h**7\/42 + h**6 - 45*h**4\/2 + 135*h**3\/2 + 2348*h. Factor v(t).\nAnswer: -5*t*(t - 3)**3*(t + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 28658 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -114, -492, -1126, -2010, -3138, -4504, -6102, -7926?\n\"Answer: a**3 - 134*a**2 + 17*a + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = 260305*z. Let v(g) = 15*g. Determine j(v(x)).\nAnswer: 3904575*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 10533 to the power of 1\/2, to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 41111430 and 44656.\nAnswer: 328891440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(85)*-1*-6)\/(sqrt(500)*2).\nAnswer: 3*sqrt(17)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j\/j**(-3\/7))\/j*j)**(-1\/6)\/(j**(-2\/7)*j*j**(1\/8)\/j*j) assuming j is positive.\nAnswer: j**(-181\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-3)\/(-21))\/(403\/39 + -10)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 421585 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = 1995*f - 6. Let m(c) = -2*c. Give z(m(v)).\nAnswer: -3990*v - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 29 + 106. Let r be 52\/9 + (14\/63 - 0). Suppose 2*p - 4*d - 10 = 0, -35 = -r*p + 2*p + 5*d. What is the highest common factor of z and p?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20*j = -2*j - 1620. Let p be ((-4)\/6)\/((-4)\/j). Suppose -13*l - p = -80. Solve 0 = 4*o - 3*k + 9, -5 = l*o - 4*k + 7 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 10033343 (base 6) to base 14.\nAnswer: 75a11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 102710 and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 1765099 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*r - 2 + 4*r + 4)*(-5*r + 3*r + 8*r).\nAnswer: 12*r**2 + 12*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -1  (b) 1\/2  (c) 19236  (d) 0  (e) -1\/4  (f) -14\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = n + 3 - 6. Let l be (21\/n)\/(2\/54). Calculate the greatest common divisor of 21 and l.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -673522 greater than -72066750\/107?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = -12*p**3 + 3*p**2 + 3*p + 3. Determine b(-2).\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0.3 or 2\/2305?\nAnswer: 2\/2305","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-76)\/(-266)*(-14)\/(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) -366\/5  (b) -37  (c) -8  (d) -1\/6  (e) 5  (f) 104\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 13 - (5 - (15 + -16))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.7, -140, 517 in increasing order.\nAnswer: -140, -0.7, 517","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of a*k - 2843*a*p**2 - 37*a*p + k**3*p**2 - 2*k**3*p - k**2*p - 2*p wrt p?\nAnswer: -5686*a + 2*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Determine y so that -5*y**2\/2 - 4305*y\/2 + 4315 = 0.\nAnswer: -863, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -96 - -107. Suppose -36*c = -29*c - 70. Sort c, p, -2 in decreasing order.\nAnswer: p, c, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 591, 1201, 1827, 2469, 3127?\nAnswer: 3801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2385899 or -26244903\/11?\nAnswer: -26244903\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g + 5*g - n = 9, -g + 7 = -5*n. Suppose 0 = -a - o + 3, -g*a = 4*o + 2 - 4. Let j(t) = -t**2 + 5*t + 7. Give j(a).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16*o + 446 = 1454. Calculate the remainder when o is divided by 33.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n\/(n\/(n*n*n**(-32)*n)*n))\/(n**(1\/7)\/n)*(n*n**(-6\/13))**(-32) assuming n is positive.\nAnswer: n**(-4220\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -23*s**2 - 45*s**2 - 6*s**3 + 80*s**2 + 5*s**2 - 17*s**2.\nAnswer: -6*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 5383377118 to the power of 1\/6, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:48 PM and 7:52 AM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) be the second derivative of 0*b**3 + 0 + 1\/20*b**5 + 1\/30*b**6 + 0*b**2 - 1\/42*b**7 - 1\/12*b**4 - 5*b. Find g, given that i(g) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-262652)\/(-12))\/(13\/39) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 223904276?\nAnswer: 2, 55976069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4 + 3 - 539*s + 436*s - 5 + 6.\nAnswer: -103*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = -v**2 - v + 4. Let i be x(0). Let z be (-2)\/i*-2 - 0. Are z and 3 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 23140203.\nAnswer: 3, 7713401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:18 AM and 4:36 PM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1400) - -1*sqrt(1400))\/(sqrt(63)*3).\nAnswer: 20*sqrt(2)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 216066 and 158?\nAnswer: 34138428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 3 times -0.04\nAnswer: -0.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = -2*k - 5. Let d be v(-4). Suppose d*t - 4 = 2. Let m = 1 - 0. What is the remainder when t is divided by m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2590145.\nAnswer: 5, 23, 101, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1142 is divided by 26.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -35662310 divided by 5.\nAnswer: -7132462","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 9082*g**2 - 2901*g**2 - 2*g**3 - 124*g + 0*g**3 + 124*g.\nAnswer: -2*g**3 + 6181*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = 21*u**2 - 3*u - 4. Determine d(-1).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ggggnhgggghhhcggh. Give prob of picking 2 h and 1 n.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -37 + 78. Let j = -25 + o. What is the greatest common divisor of j and 128?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do 850 and 849 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.08?  (a) -63  (b) -0.2  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -156.48 + 550754.581?\nAnswer: 550598.101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1372 divided by 4.\nAnswer: -343","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*b - 63*b**4 + 495*b**2 - 487*b**2 + 2*b**3 + 25 + 67*b**4 to the form k*b + q + m*b**2 + w*b**3 + x*b**4 and give q.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -11 + 7. Let o = 6 + m. What is the second derivative of -8*h**o - 14*h + 8*h - 3*h wrt h?\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/5, -0.3, -19, 0.5, 0 in decreasing order.\nAnswer: 0.5, 1\/5, 0, -0.3, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Does 16 divide 3552?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3*805\/(-168) + 61 + 690\/(-15).\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from zrhykqy. What is prob of picking 2 y?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -173?  (a) -711  (b) -5  (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2 + 19 + 12 - 10 - 905192*s**2 + 905187*s**2.\nAnswer: -5*s**2 + 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from bclod. Give prob of picking 1 d, 1 o, and 1 b.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -80890560*t**3 - 249372252 wrt t?\nAnswer: -242671680*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 206.1 - 134. Let h = 62.7 - -9.3. Let t = l - h. Is -0.52 <= t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine t so that 33*t**5 + 1602750*t**4 + 19449586614*t**3 - 268989546036*t**2 + 904565043081*t + 173475488214 = 0.\nAnswer: -24291, -2\/11, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*((sqrt(70) - (-1*sqrt(70) + sqrt(70))) + sqrt(70) + sqrt(70))*-4)\/(sqrt(160)*1 - -3*sqrt(40)).\nAnswer: -6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1815.\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 22*u**2\/3 - 49726*u\/3 + 4520 = 0 for u.\nAnswer: 3\/11, 2260","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) be the third derivative of -y**2 + 0 + 1\/30*y**5 + 0*y**4 + 0*y**3 + 0*y. Let h(f) = -29 + 29 + f. Determine h(s(c)).\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/7 in -2\/13, -0.2, 2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*r**4 - 5436*r**3 - 3277890*r**2 - 654452700*r + 1993006125.\nAnswer: -3*(r - 3)*(r + 605)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7707?\nAnswer: 3, 7, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is -1\/12 > -12.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = -8*c. Let f(x) = 7*x**2 + 6*x**2 - 22*x**2 + 6*x**2. What is z(f(t))?\nAnswer: 24*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*i = 4*u - 40, -107*i + 106*i - 7*u - 20 = 0 for i.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = 5*c**3 + 3*c**2 + 8*c - 3. Let z(x) be the first derivative of 7*x**4\/4 + x**3 + 9*x**2\/2 - 2*x + 54. Let d(l) = -4*v(l) + 3*z(l). Calculate d(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*u - 4*t = -528 + 535, -8 = -4*u - t. Put -2, 5, -6, u, 8 in descending order.\nAnswer: 8, 5, u, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = -1513*v**3 + 2*v**2 - 1. Let j be t(-1). Let g = 111 + j. Suppose 1228 = -2*i + 3*l + 145, 0 = -3*i + 5*l - g. What is i rounded to the nearest 100?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -5, -9, 4, -7, 2 in decreasing order.\nAnswer: 4, 2, 1, -5, -7, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) be the second derivative of o + 0 + 0*o**3 + 0*o**2 + 1\/60*o**5 - 1\/18*o**4. Solve m(i) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -16121648*t**3 - 13315033*t?\nAnswer: -96729888*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -95\/384 and -19\/192.\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -155*i - 6120354 = -177*i + 3068606. Round i to the nearest 1000.\nAnswer: 418000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -76 - 30 = -2*h + 4*d, 3*h + 5*d - 148 = 0. What is the tens digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = 4*j**2 + 177*j - 323. What is a(-46)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6522?\nAnswer: 2, 3, 1087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d - 4 = 2*z, 5*d + 5*z = 2*z + 10. Let q(h) = 9*h**2 - 22*h + 23*h - 9*h**d + 1149999*h**3. Let y be q(-1). What is y rounded to the nearest 100000?\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k - 4*k = -40. Suppose 2*o - 3*o = -5. Calculate the greatest common factor of o and k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of v**6 - 470*v**4 - 3*v**3 + 6*v**2 - 2*v - 3 wrt v.\nAnswer: 120*v**3 - 11280*v - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2662 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -0.2, 101, -1\/4, 0.2, 0.1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2aa736 (base 14) to base 3.\nAnswer: -2210122001212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 663760 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*o + 0*o - o)*(-o + 3*o + o)*(-6 + 4 + 3).\nAnswer: 6*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -1414 - -1414. Solve t = 26*y - 13*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = -p**3 + 22*p**2 + 49*p + 188. What are the prime factors of x(-29)?\nAnswer: 2, 3, 53, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 182127235699 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 29272 to the power of 1\/2, to the nearest integer?\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*g**3\/3 - 40675*g**2 - 620431028*g - 930616036\/3 = 0 for g.\nAnswer: -30506, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = -d**3 + 64*d**2 + 4*d - 267. Determine a(64).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 189\/84*12\/9?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*l - 2*l + 0*l)*(1 + 1 + 0) + 314*l - 221*l + 360*l + (2 + 2*l - 2)*(-1 - 1 + 5) - l + 2 - 2 + l + 1 - 1 + 0 + 0 - l.\nAnswer: 454*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 719, 1365, 1845, 2075, 1971, 1449, 425, -1185?\n\"Answer: -14*r**3 + r**2 + 741*r - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -14*j - 50 - 20. Sort j, -17, 4.\nAnswer: -17, j, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) be the second derivative of 9*w**7\/14 + 2*w**6\/15 - 385*w**3\/6 + 2*w + 528. What is the second derivative of d(l) wrt l?\nAnswer: 540*l**3 + 48*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = 5*n**2 - 5*n + 30. Let d(j) = -j**2 - j + 1. Let c = 38 - 43. Let i(m) = c*d(m) + l(m). What is the derivative of i(g) wrt g?\nAnswer: 20*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 24 divide 60885250?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 9203?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 29 + -22. Suppose -p + 6 = u. Let f = 0.23 + -0.73. What is the second biggest value in p, f, 0?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -2\/5  (b) -0.03  (c) -4  (d) 1219\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) 2  (b) 58\/13  (c) -174  (d) -3  (e) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g - g = -1624. Suppose 3*t - t - 5 = 3*s, -2*t - s + 1 = 0. Is (t + g)\/(4 + -3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-22)\/28*-4 + 49 + -50?\nAnswer: 15\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -1116.31+-8.19\nAnswer: -1124.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = -7*v. Let x(c) = -13*c**2 + 5*c - 5. Let o(g) = 65*g**2 - 26*g + 26. Let s(q) = -5*o(q) - 26*x(q). Determine k(s(i)).\nAnswer: -91*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -588*h - 694*h + 1282*h - 3458*h**2.\nAnswer: -3458*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 315204 (base 7) to base 13\nAnswer: 1bb40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-4)\/(-6)*3\/(-2). Let h = -136384 + 56326526\/413. Let r = -1\/59 - h. Which is the closest to r?  (a) -4  (b) 1  (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 1, 3, 2\/13, -1, -4, 0.15?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 1, -1155, 3, -29\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3869.\nAnswer: 53, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:06 PM and 7:00 AM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 21 + 12610?\nAnswer: 12631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1 - (1 + 2) - (113 + -123)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 334*d - 26*d - 3080 = 0. Calculate the remainder when 159 is divided by d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*t + r = 8, 14*t - 22 = 12*t - 5*r for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) be the first derivative of -p**4\/18 - 62*p**3\/27 + 20*p**2 - 1678. Factor z(t).\nAnswer: -2*t*(t - 5)*(t + 36)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 299 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Round 21514.71 to the nearest 100.\nAnswer: 21500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 29 + -27. Suppose 0 = -g*l - 3*l - 25. Is -1*4\/2 + l + 228 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -69 - -70. Let a = -2 + 5. What is the second smallest value in -4, z, a?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -149 in 1, 53\/5, 23?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -20*o**3 + 2*o + 79*o**3 + 3 - 9 to the form q*o**3 + t*o + y + z*o**2 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 833429803 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 2.3  (b) 1  (c) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 6 - 74*p - 2 - 2 - 11*p - 43*p to the form w + s*p and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round -944500 to the nearest ten thousand.\nAnswer: -940000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 101 minutes after 6:02 AM?\nAnswer: 7:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -1355, -2143, -2833, -3377, -3727, -3835, -3653, -3133?\n\"Answer: 8*x**3 + x**2 - 847*x - 517","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*p - 13*h - 159 = 0, -165*p - h - 27 = -492*p + 164*p + 164*p for p.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Round -164652.922 to the nearest 10000.\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 258 is divided by 91?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -58.83 rounded to the nearest 10?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -3377 + 37107\/11. Which is smaller: -5 or z?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = -r. Let c(v) = -6*v + 1. Let i be (-2)\/(-6) - (64\/6)\/(-16). Let h = 557 + -561. Calculate h*s(g) + i*c(g).\nAnswer: -2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 14 + -23. Let o be ((-10)\/2 - 1) + 5. Let q = o - y. Solve q = 4*s + 7*d - 2*d, 5*d = 20 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -666*v + 13*v**3 + 666*v.\nAnswer: 13*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k + 16*c + 42 = 14*c, 13*k - c - 109 = 0. Let a = 1 + -5. Let r(f) = f**3 + 5*f**2 - f. Let o be r(a). Solve -k*j + 12*j = -o for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 20*r**3 + 335*r**2 + 235*r - 80 = 0 for r.\nAnswer: -16, -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:04 AM and 9:32 AM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = -2*i**2. Let g(y) be the third derivative of 3*y**2 + 0*y**3 + 0*y + 0 - 1\/24*y**4. What is s(g(p))?\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 34*h**3 + 8*h**3 - 25*h**3 - 7*h**3 - 12*h**3 + 74*h**3.\nAnswer: 72*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort -8, 0.4, -5\/3, 1 in decreasing order.\nAnswer: 1, 0.4, -5\/3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) be the first derivative of 0*r - 22 - 1\/2*r**2. Let f(q) = -6*q**2. Calculate i(f(l)).\nAnswer: 6*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*q + b + 4*b + 1294 = 0, 0 = -3*q + 5*b + 968. Let w be 7\/(-63) + q\/18. Let y be (1\/(-1))\/((-9)\/w). Solve 4*d + 3 = l, -4*d + 0 = -y*l - 2 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together 40 and 83537.\nAnswer: 83577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, -159, 11, -11, -1 in ascending order.\nAnswer: -159, -11, -3, -1, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 48\/(-128) - ((-516)\/32)\/3. Solve 2 = -2*g + 6, 0 = s - t*g + 9 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = -x**2 + 21*x + 11. Let u(h) = h**3 + 21*h**2 + 39*h + 40. Let j be u(-19). Let k be v(j). What is the greatest common factor of 187 and k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 372374617.\nAnswer: 372374617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7547412036?\nAnswer: 2, 3, 10771, 58393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 5564559 divided by 38913?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -275*y**2*z**3 - y**2*z**2 + 3*y*z**3 - 2*y*z + 4 wrt y.\nAnswer: -550*z**3 - 2*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*q = 5*t - 10*t + 80, -2*q = -10*t - 8. Solve -2 = 4*g - q for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-11)\/2112*-32)\/(4\/192) + -76?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 248 - 260. Let z(a) = -80*a - 135. What are the prime factors of z(m)?\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -c = 4*k + 8, k + 4 = -3*k - 2*c for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Round 547 to the nearest 100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -9 (base 16) to base 4\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 22181 + -22181. What is the closest to -9 in 0.3, -6, y, 0.4?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*c + 20 = 2*c. Suppose -l = -2*l + c. Suppose -l*t - 15200 = -0*t. Round t to the nearest 1000.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence yg when two letters picked without replacement from uuryuyurysurrrurgsr?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth smallest value in 115, 0.2, -3, 18, 1\/11, 1?\nAnswer: 115","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 961?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 63\/2 - 32. Let f = -148 + 144. What is the smallest value in -0.6, d, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = -t**2 + 6*t + 7. Let f be c(7). Suppose f*n = 5*n + 40. Let s be n\/(-28) - 52\/(-14). Solve -s*g = l, 5*l = -g + 6*g for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -249455706 divided by 6?\nAnswer: -41575951","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = -2*v**2 + 16 - 16. Let n(x) = -1 + 1 + 5*x**2. Determine n(a(o)).\nAnswer: 20*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 22357351 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 1555 to the power of 1\/2, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) be the first derivative of -49*r**6\/6 - 4*r**3\/3 + 3*r**2\/2 + 80*r - 584. Find the second derivative of w(y) wrt y.\nAnswer: -980*y**3 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v\/(v**(-18)\/v))\/v*v**(-5\/6)*v*(v*(v\/v**(2\/25))\/v)\/(v*v**(1\/5)))**(-22) assuming v is positive.\nAnswer: v**(-31163\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 less than -244?\nAnswer: -243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 2\/3, -0.4, 2\/43?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 28.115 - 0.015. Let x = 28 - u. What is the third biggest value in x, -1\/2, -6\/11?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*sqrt(425)*3 + -5)**2.\nAnswer: 300*sqrt(17) + 15325","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from angaaasp. What is prob of sequence sppp?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -56619*x + 30008*x - 2*x**3 + 26611*x.\nAnswer: -2*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -65*x - 2*x + 11*x = 3304. Which is bigger: -293\/5 or x?\nAnswer: -293\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -1\/5  (b) 0  (c) 6  (d) 0.052  (e) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.37 + 0.07. Let c = -0.2 - -0.21. Put c, k, 4 in ascending order.\nAnswer: k, c, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2758719 divided by -919573\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1119*f**2 + 1078*f**2 + 1089*f**2 - 3242*f**2.\nAnswer: 44*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = i**2 - i. Let f(v) = 10*v + 8*v - 27*v**2 + 0*v**3 - 15*v**3 + 3*v**2. Let l(o) = 18*d(o) + f(o). What is the third derivative of l(g) wrt g?\nAnswer: -90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -22 + 120101?\nAnswer: 120002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 22446106 a multiple of 779?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -0.48 - 21.52. Let g = -15.82 + -5.28. Let z = b - g. What is z rounded to zero decimal places?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -200 (base 3) to base 11\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 321 minutes before 6:58 PM?\nAnswer: 1:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, 5, 0, -7, -12 in descending order.\nAnswer: 5, 0, -3, -7, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25 = -7*x + 11*x + 5*s, 0 = 5*x - 5*s + 65. Let d(j) = -3*j**3 - 11*j**2 - 5*j + 64. List the prime factors of d(x).\nAnswer: 2, 19, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 123 - 24 = l. Let v be 15\/6*18\/15. Suppose -t - p + v*p = -11, -2*t = 3*p - 15. What is the greatest common divisor of l and t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -35 and -43\/40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = 996*y + 187239. Calculate g(-188).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 7396 - 3486. Is d a multiple of 70?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*d + 454 - 903 = -457, 3*d = c + 5 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.1332492 days to nanoseconds.\nAnswer: 11512730880000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x = 5*f - 163, -3*f + 5*f + 4*x = 58. Let u = f + 31. What are the prime factors of u?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -91\/2594190 and 73\/18318.\nAnswer: 184187490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round 6383.944 to the nearest one hundred thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -108 = -5*z - 0*z + i, z - 30 = -4*i. Let n(g) = 0 - 9 + 1 + 7*g + 14*g - g**2. What is the remainder when n(17) is divided by z?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -317\/56 + 19\/8. Find the common denominator of 1689\/(-90) + 4\/(-10) and n.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -11854, -23609, -35376, -47161, -58970, -70809?\nAnswer: -82684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = -d - 4. Suppose 5*t = h - 264, 0 = 5*h - 2*t - 301 - 1019. Let w be ((-2)\/4)\/(11\/h). What is the remainder when a(w) is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -33\/910 + 77491\/79170. Let a = t + 3155\/1914. Calculate the common denominator of -83\/14 and a.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1579, -3084, -4441, -5644, -6687, -7564, -8269, -8796?\nAnswer: -9139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -0.1  (b) -1  (c) 0.2  (d) -4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((x\/x**7)\/x*x)\/x)\/(x*x\/(x**(-11)\/x)*x)*(x*x*x*x**(-1\/21)*x)\/x**(-7))**27 assuming x is positive.\nAnswer: x**(-2088\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*i + 4*i + 0*i)*(5 + 0 - 2) + (2*i - 3 + 3)*(-20 - 17 + 46).\nAnswer: 21*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is f in -f**4\/5 - 303*f**3\/5 + 1224*f**2\/5 - 1228*f\/5 = 0?\nAnswer: -307, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m - 42 = 156. Find the second derivative of -131*n**2 + 4*n**2 - 3 + 100*n + 7 - m*n wrt n.\nAnswer: -254","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 49112.\nAnswer: 2, 7, 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 2*b**3 + 5*b**2*c - 370*b*c - 18019*c + 4 wrt b.\nAnswer: 6*b**2 + 10*b*c - 370*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 145 minutes before 8:31 PM?\nAnswer: 6:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 1416 and 3276.\nAnswer: 386568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = 3*t**3 - 10*t**2 + 24*t - 354. Calculate g(5).\nAnswer: -109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 11976033 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 948 + -1742. List the prime factors of 2\/((-2)\/1)*(n + 0).\nAnswer: 2, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 94\/3 in 0.096, 2, 4, -1\/2, 2\/13?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 29 is divided by (48\/(-10))\/(3\/(-10)).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (4 + 60\/(-14))\/((-1)\/(-1))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 5 + 4. Let f(a) = 5*a**2 + 4*a. Let y(g) = 11*g**2 + 12*g. Let p(v) = 11*v**2 + 13*v. Let m(j) = 3*p(j) - 4*y(j). Determine q*f(z) + 4*m(z).\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -7333b + 5?\nAnswer: -73336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c be -26*(-4 + (-150)\/(-39)). Solve -5*l + 16 = -4*l + c*h, 0 = 2*l + 4*h - 16 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 203*u**2*x - u**2 + 10*u*x + 6*x wrt u.\nAnswer: 406*x - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) be the second derivative of -125*r**4\/12 - 1863*r**2\/2 + 1375*r. What is the first derivative of k(m) wrt m?\nAnswer: -250*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a*a**(1\/7))\/a)\/(a*a**4)*a*a*a**(-4)*a*a\/a**4 assuming a is positive.\nAnswer: a**(-62\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*z = 3*z - 3250. Suppose -o - 920 = 3*o. Let r = z + o. What is the tens digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -1804*v - 829*v + 3176 + 2090. Suppose -2*m = 1 - 5. Let h be m - 4 - (-5 - -1). Solve 0*a - 4*i = -2*a - v, 6 = h*i for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.04037747 rounded to four dps?\nAnswer: 0.0404","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = 83*n + 96. Let y(i) = -42*i - 49. Let f(a) = 3*u(a) + 7*y(a). Is f(-8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 17*h**2*x - 1859948*h**2 - 5*h*x + 205*x wrt x?\nAnswer: 17*h**2 - 5*h + 205","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 58 + -51. Suppose o = -3*u + 1, -4*u + 3*o = 6*o + h. Solve -2 - 6 = -u*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -240 divided by 12\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 103, 112, 135, 178, 247, 348?\n\"Answer: l**3 + l**2 - l + 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = j. Let s(h) = -h**3 + 7*h**2 + 2*h - 8. Let m be s(7). Let n(g) = -m - 3*g + 6. Calculate n(w(x)).\nAnswer: -3*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) be the third derivative of -5*q**8\/112 - q**5\/10 - 23*q**2. What is the third derivative of f(t) wrt t?\nAnswer: -900*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*r + 25 = -52. Let b(o) = -6*o**2 - 11 - o**3 - r*o**2 + 3. Let h be b(-13). Let d(x) = 2*x + 2. Give d(h).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (105\/(-70))\/((-266)\/(-28))?\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.02 + 0.04. Let j = m + -0.07. Let z = j + -0.29. Which is the closest to -1\/3?  (a) -3  (b) 0.1  (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*z**2 - 20*z + 59*z - 23*z - 16*z.\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 > 2\/793?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Total of 7 and 5349.4.\nAnswer: 5356.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = 10*r**2. Let k(h) be the third derivative of -h**7\/840 + 3*h**5\/10 + h**2. Let s(y) be the third derivative of k(y). Determine s(c(o)).\nAnswer: -60*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = -1839*r. Let u(a) = -2*a**2. Determine u(t(i)).\nAnswer: -6763842*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 111 - 775\/7. Solve -2\/7*m**2 - y*m + 4\/7 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = -x**2 + 10*x - 21. Let p be u(6). Let k = 3 + p. Calculate the smallest common multiple of 25 and k.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = z - 18. Let f(q) = -101*q**2 - 103*q**2 + 200*q**2. Calculate j(f(n)).\nAnswer: -4*n**2 - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g + 4 = -4*f, 0 = 2*g - f + 10 + 1. What is the closest to 0 in g, 1\/4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(33)\/(-5*sqrt(27)))**2.\nAnswer: 11\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -229567008 divided by 948624?\nAnswer: -242","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 972222 is divided by 6232?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 2 + 1130?\nAnswer: 1132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 297.41 - -10724301.\nAnswer: 10724598.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 9426872 and 175168?\nAnswer: 1288","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from kokuh. What is prob of picking 1 o, 1 h, and 2 k?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {s: 2, e: 7, n: 3, f: 1, m: 1}. What is prob of sequence mf?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) be the first derivative of u**7\/945 - u**6\/180 + u**5\/270 + u**4\/36 - 2*u**3\/27 + 3*u**2 + 4. Let m(a) be the second derivative of h(a). Factor m(w).\nAnswer: 2*(w - 2)*(w - 1)**2*(w + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -41*l + 1220 + 8365 = -4355. Solve -l*y = -344*y - 20 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve r - 4*x - 4 = 0, 315*r - 295*r + 5*x = -90 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 9 + -2. Let g = -6.7 + r. What is the second biggest value in g, 2, -1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (22 - 2) + -1 + (-4804 - -4820).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 140 = l - 15*w + 18*w, 5*l = -w + 630. Let f = l + -20. Calculate the remainder when f is divided by 32.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -2 - -3. Suppose 0*t + 184 = 8*t. Let r = t + -20. Sort r, f, -5 in increasing order.\nAnswer: -5, f, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -u**4 - 3*u**4 + 0*u**4 + (-u**3 - u + u)*(0 + 0 + 3*u) - u**3 + 4*u**4 + 2*u**3 - 3*u**4 - 4*u**4 + 5*u**4 + 2*u**4.\nAnswer: -3*u**4 + u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 37261?\nAnswer: 7, 5323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Convert -18877 (base 9) to base 12.\nAnswer: -7707","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -10*s - 12*s - 35*s - 18*s - 25*s + 96*s.\nAnswer: -4*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 52 = 45*z - 700 + 167 for z.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -10 minus 36?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 3 + -2. Let w be 0 - 0 - (2 - v). Let r be (0\/w)\/(1 - 3). Solve -4*l = -0*a + a, r = -a + 3*l for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (12*n**2 - 4*n**2 + 3*n**2)*(0 + 0 + 3) + 4*n**2 - 3*n**2 + 3354*n - 3653*n.\nAnswer: 34*n**2 - 299*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort -320, -30, 3 in decreasing order.\nAnswer: 3, -30, -320","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -2829 + 39525\/14. Let f = -304779\/138074 - -6\/4061. What is the common denominator of f and s?\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -10.2 - -10. What is the nearest to -2\/7 in -1\/4, 1\/4, s?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = 1. Let i(f) = 2*f**2 + 6*f - 1 - 5*f - 3*f**2. Suppose -2*j = 2*u - 7 + 1, 3*j = 2*u - 1. Determine u*x(y) + i(y).\nAnswer: -y**2 + y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -6 - -44 - 10 - 11.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 4, 1, -1185125, 3 in ascending order.\nAnswer: -1185125, -4, 1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 266308775?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.29 - -240241731254.\nAnswer: 240241731254.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 41 - 38. Solve 4*v = v - i for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -348 divided by 21\nAnswer: -116\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Divide 20520066 by 2931438.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-27)\/18*(-1)\/(1\/(-2)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 571414.2l in millilitres?\nAnswer: 571414200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 1088, 1085, 1082, 1079, 1076, 1073?\n\"Answer: -3*o + 1091","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = -2*q**2. Let m(x) = -x**2 + 622. Calculate m(f(a)).\nAnswer: -4*a**4 + 622","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is (5 - (-7 + 14)) + 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = 4*c**2 - 4*c**2 - 2*c**2. Let r = 25 - 18. Let f(z) = -14 - r*z + 23 - 9. Calculate f(w(o)).\nAnswer: 14*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 8841290 times 0.3?\nAnswer: 2652387","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -4 + (5 - 0 - (0 + 0)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -19\/80 and 31\/16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -1  (b) -20  (c) -2.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {o: 1, c: 7, r: 3, e: 2, n: 6}. Give prob of picking 2 e and 2 r.\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express v - 6 - 5 - 8 - 6 as c*v + j and give j.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 29\/497 + 6\/71. Which is the nearest to 2\/5?  (a) -2\/5  (b) l  (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (2*x + 0*x - 3*x)*(4 + 0 + 0) + (-131*x + 339*x + 36*x + 211*x)*(2 + 1 - 4) in the form q*x + b and give q.\nAnswer: -459","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4101?\nAnswer: 3, 1367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -164*k + 153*k + 4224. Let v = -276 + k. Suppose -6 - 18 = -2*j. Calculate the highest common factor of j and v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*m + 702 - 709 = g, -5*g = 4*m - 13 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of f**4*p - 12*f**4 - 32816*f**3*p - 11708*f**2*p - 73*f*p wrt f.\nAnswer: 24*f*p - 288*f - 196896*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -1022103 (base 4) to base 11\nAnswer: -3633","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 201373 to the power of 1\/2, to the nearest integer?\nAnswer: 449","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -33720 = -8*h + 29920. List the prime factors of h.\nAnswer: 5, 37, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 800 and ((-44)\/(-10))\/(285\/57000)?\nAnswer: 8800","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -205, -0.4, 1\/11, -9?\nAnswer: -205","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ekeu when four letters picked without replacement from {f: 1, j: 2, e: 6, i: 1, u: 4, k: 1}.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-17 - 715\/(-44)) + ((-3285)\/(-20))\/(-9).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -20 (base 8) in base 13?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 417, 419, 423, 429?\nAnswer: 437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 551 + 1044 + 99*w + 139 - 96*w - 170 to the form f*w + v and give v.\nAnswer: 1564","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = -n**3 + 7*n**2 + 14*n - 31. What is a(8)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (4\/10)\/(16\/50).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -0.03820219 + 0.037996. Round v to six decimal places.\nAnswer: -0.000206","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000000534674502 rounded to seven dps?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 23972 - 11162 = -22*q + 205816. What is the highest common factor of q and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 160*m**3*w**5 + 2*m**3*w**2 + 13*m*w**2 - 6*m wrt w.\nAnswer: 9600*m**3*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 39 minutes after 10:04 PM?\nAnswer: 10:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*((sqrt(432) + 1)**2 - sqrt(432)) + sqrt(432) + (sqrt(432)*2)**2 + -3)*-3 + 1.\nAnswer: -6473 - 72*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u - 2*u = 0. Let l be (0 + -1 - -1) + u. Let x = -1.1 - -1. Put -2\/3, l, x in decreasing order.\nAnswer: l, x, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 107909, 104123, 100337, 96551?\nAnswer: 92765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-11 + 22 - 12)*-1*-24. Let w(q) = q**2 + 7*q - 404. Calculate w(u).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = -3*p. Let t(d) = -9*d - 4. Let n(x) = -x**2 - x - 2. Let s(u) = 2*n(u) - t(u). Determine f(s(b)).\nAnswer: 6*b**2 - 21*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Put 297647, -4, 4 in increasing order.\nAnswer: -4, 4, 297647","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {l: 1, r: 1, u: 1, f: 1, a: 1}. Give prob of picking 1 u and 1 r.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1263*o = 1256*o + 24304. What is the remainder when o is divided by 1156?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from zzzzzzzzz. Give prob of sequence zzz.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -101\/44 + -9\/44. Let r = -25\/14 - l. Factor 1\/7*z**3 - 3\/7 - 1\/7*z**2 - r*z.\nAnswer: (z - 3)*(z + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-5)\/30*3*4*-2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = 8*o**4 + 2*o + 9. Let x(p) = 58*p**4 - 2*p**4 + 45 - 17*p**4 + 11*p. Let d(j) = -11*m(j) + 2*x(j). What is the first derivative of d(k) wrt k?\nAnswer: -40*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 5\/4  (b) -1\/5  (c) -20927\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.022800226 to 5 decimal places.\nAnswer: -0.0228","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 265 minutes after 9:55 AM?\nAnswer: 2:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: (-64)\/(-6)*(268\/(-3216))\/((-6)\/(-108))\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {d: 1, m: 3, h: 1, f: 1, r: 1}. What is prob of sequence mr?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3125944.\nAnswer: 2, 390743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 233 + 2?\nAnswer: 235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let -u**3\/2 - 1115*u**2\/2 - 19827*u\/2 - 88857\/2 = 0. What is u?\nAnswer: -1097, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -692, -1204, -1716, -2228, -2740?\n\"Answer: -512*v - 180","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = 2*v + 1. Let i be n(2). Let x = i + -2. Suppose -20 = x*z + z. What is z rounded to 0 decimal places?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = u**3 - 18*u**2 - 7*u**2 + 13*u**2 + 20*u. Let f be d(10). Solve -4*l + 3*l - 1 = f for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = 4 - 13 + 4 - 2*g. Let k be t(-5). What is the derivative of -3*p**2 - 9 + k*p**2 + 3*p**2 wrt p?\nAnswer: 10*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -11*i**5 + 138*i**4 + 2*i**3 + 1089*i**2 + 2 wrt i?\nAnswer: -660*i**2 + 3312*i + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -65\/5372 and -4\/237.\nAnswer: 16116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 3366.693665 rounded to the nearest 100?\nAnswer: 3400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m\/(m**(3\/8)*m)*m*(m*m**15)\/m*m**(9\/5)\/m**15)**26 assuming m is positive.\nAnswer: m**(1261\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 3.265815 rounded to one decimal place?\nAnswer: 3.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 593258377?\nAnswer: 31, 1901, 10067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6 + 3388*c**3 - 1380*c**3 - 6.\nAnswer: 2008*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 9011452433 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 4, 2, -10, -38, -88?\n\"Answer: -s**3 + s**2 + 2*s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -24167\/45 + 537. Let z = g - -11\/45. Let q(j) = -j**2 + 10*j - 4. Let w be q(10). What is the smallest value in 4, w, -1, z?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.1+293008052\nAnswer: 293008052.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 131559 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-3)\/((-75)\/(-10)) + 26136\/(-10). Let l be 1 - j\/34 - 6\/(-51). Let u = -50 + l. Is 6 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 3*((-20)\/(-15) + -4). Let g(v) = 2*v**2 - 10*v + 7. Let a(s) = s**2 - 9*s + 6. Let l(b) = -3*a(b) + 2*g(b). Give l(q).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3\/(-4) + (-8)\/32.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -27*n**5*p + 5*n**2*p - 16*p wrt n.\nAnswer: -1620*n**2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is (2 - (-1 - -2)) + (-18 - ((6 - 9) + -37))?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = -12*y**2 + 7*y**2 + y - 1 + 6*y**2. Let m(d) = 10*d**3 + 12*d**2 - 4*d + 4. Let t(x) = 4*l(x) + m(x). What is the third derivative of t(g) wrt g?\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1914 (base 11) in base 13?\nAnswer: -1154","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 4049, 7968, 11887?\n\"Answer: 3919*x + 130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor 0*d**2 - 2\/11*d**5 + 0*d**3 + 0*d - 2\/11*d**4 + 0.\nAnswer: -2*d**4*(d + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 107 is divided by 38.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2*j**2 - j**2 + 2*j**2)*(-4 + 1 + 4) + 0*j**2 - 5*j**2 + 4*j**2 + 4 as m + d*j + y*j**2 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = 44*r - 30. What is the tens digit of b(3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = -o. Let t be g(-2). Let h be (-1)\/t*(5 - 5). Suppose h*y + 4*y - 196 = 0. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u + 1131 = y - u, 4524 = 4*y + 5*u. Calculate the greatest common divisor of y and 87.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*y - 3*x = -130, -y + 18 = -0*y - x. Calculate the remainder when 85 is divided by y.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 159500 is divided by 205.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -28*g - 3 + 13*g**5 + 32 + 40*g - 6*g wrt g?\nAnswer: 260*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 35*g + 16438459 - 109*g - 16438460.\nAnswer: -74*g - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 3\/(21\/196) - (-3 + 6). Solve 6 + 16 = -4*o - g, 5*g = -3*o - k for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*w - 44*s = -49*s, 0 = 3*w - 7*s. Is w at most -19\/219?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 2927\/3 - 40741\/42. Let a be 0 + 0 - (-2578511)\/(-213396). Let b = 2\/17783 - a. Find the common denominator of g and b.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -167738582 divided by 10466?\nAnswer: -16027","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (((-444)\/185)\/(-2))\/(-1*9).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -1.45879 - -1.5494. Let l = 1999.0857 + -1999. Let n = u - l. Round n to 3 dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -70 - -172. Let j be 39\/v - 13\/26. Which is the second biggest value?  (a) 1\/6  (b) 3  (c) 5  (d) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) be the first derivative of w**3\/3 - 2*w + 9. Let y be h(-2). Solve -2*r + 4 = y*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in twenty-five halves of a century?\nAnswer: 15000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = 3*a**2 - 12*a - 1. What is r(5)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = 6*g + 36. Let w(i) = -i - 3. Give 2*a(j) + 14*w(j).\nAnswer: -2*j + 30","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) be the first derivative of 83*k**3\/3 + k**2\/2 - 4*k - 28. Find the second derivative of a(p) wrt p.\nAnswer: 166","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 129978250?\nAnswer: 2, 5, 43, 107, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13 = 2*c + 1. What is the remainder when c is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4699 is divided by 1550.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Product of 1800 and -1849.1.\nAnswer: -3328380","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -2, 2, -6.14, -0.313?\nAnswer: -6.14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = d**2 + 15*d + 63. Give v(-4).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = 7*z**2 + z. Let m be p(-1). Let t(x) = m*x - x**3 - 7*x - 3 + 5 + 5*x**2 - 3*x**2. What is t(2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = -23 + 7*d**2 - 3*d**2 - 7*d**2 + 27 - 2*d + d. What is z(2)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 295029 and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w - 5*i = -19, 3*w + 3*i - 68 = -53. Solve 0 = 5*d - 9*j + 10*j + 2, w*j + 6 = -2*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-70)\/210*(-9)\/(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y = -59 + 4. Let g = y - -17. Let c be (6\/81)\/(2\/g). Which is smaller: 0.1 or c?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from mrrp. Give prob of sequence mrr.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from hmmhmghtahmhththh. What is prob of picking 1 t and 2 h?\nAnswer: 21\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -37, -43, -69, -127, -229, -387?\nAnswer: -613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) be the first derivative of -i**3\/3 + 3*i**2 + 2*i - 1. Suppose 10*h - 66 = -h. Calculate m(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -3*a**2*h - 62313*a**2 + 73*a*h - 2*a + 3*h wrt h?\nAnswer: -3*a**2 + 73*a + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 4.21 * 0.3\nAnswer: 1.263","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from lldqcd. Give prob of picking 1 q and 1 c.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.1064 - -0.0936. Let x be ((-3)\/(-6))\/((-4)\/12). Which is the closest to d?  (a) 3  (b) 2  (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 629105 is divided by 52370?\nAnswer: 665","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3*4.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:15 AM and 10:30 AM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Does 4 divide 5*19\/(-2)*66\/(-55)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (3\/30)\/((-4)\/(8\/2)).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*v + 32626 = -2*t, 3*v + 3*t + 12031 = -7559. Which is greater: v or -6523?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l - 7*l - 10 = 0. Is l*1\/2 - 390\/(-12) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 57671 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + 3 + (2 + sqrt(18) + -2 - (2 + sqrt(2) + -3 - sqrt(200)\/sqrt(4))).\nAnswer: 7 + 7*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -94.7 less than -583229571?\nAnswer: -583229476.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 4122a53 (base 11) to base 12\nAnswer: 253130b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -10 - -112213321223?\nAnswer: 112213321213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -181 + 207 = -13*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -12.2 - 2.8. Let p = u - -29. Let m = p - 16. Sort m, -5, 1\/4.\nAnswer: -5, m, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -2 - -3. Let g(k) = -4*k**2 + 7*k - 7. Let d(r) = -3*r**2 + 8*r - 8. Let n(i) = 6*d(i) - 7*g(i). Let b be n(u). Solve -y - b = -3*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = -s**2 - 7*s - 3. Let m be g(-5). Let w(p) = -57*p + p**3 + 10 + 52*p - 6*p**2 - 2. Determine w(m).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 1.7 + -1.9. Which is the closest to k?  (a) -2\/13  (b) 5  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.2 times 12.9?\nAnswer: -2.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -450, -412, 168, 1290, 2954?\n\"Answer: 271*f**2 - 775*f + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 176*m + 113*m = 59*m - 4140 for m.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = 16*j**2. Let a(m) be the first derivative of 32*m**2 - 487. Give i(a(h)).\nAnswer: 65536*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Round -501 to the nearest one hundred.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((sqrt(84) - -2*sqrt(84)) + sqrt(84))*-5 + sqrt(84))\/(sqrt(144)\/(sqrt(36)\/sqrt(3)))*5 - (sqrt(189)\/sqrt(48))\/((sqrt(108)*-1)\/sqrt(12))) + -5.\nAnswer: -379*sqrt(7)\/4 - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = f - 2*z - 0 - 2, -23 = -5*f - 3*z. Solve -f = 4*r + 4*l - 0, 5*r - 5*l = -25 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be -1*(-4)\/(-4)*-4. Suppose i + r = 9. List the prime factors of (26\/i)\/((-5)\/(-25)).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2 - (2 - (-4 + 1))) + 8962 + -8831.\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 340 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = -5*q - 1. Let j(u) = -2*u + 1. Let d(v) = 15*v - 9. Let t(i) = d(i) + 9*j(i). Determine r(t(y)).\nAnswer: 15*y - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(192) + (sqrt(192) - (1*sqrt(192) + 4) - sqrt(192)) + 1)**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*k = -b - 15, -5*k + b = -16*b + 12*b + 50 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) -1\/6  (b) -3  (c) 5  (d) 1156\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = 8*i - 19. Suppose 0 = -2*v - v + 4*h + 18, h - 1 = -2*v. Suppose -5 = -v*a + 5. What is the units digit of p(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -3*c**5*u**2 - 6375*c**5 - 6*c + 2180*u**2 wrt c?\nAnswer: -60*c**3*u**2 - 127500*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -504?  (a) 0.1  (b) -0.3  (c) 1\/27  (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 48\/(-70) + (-18)\/(-45)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -53 + 63.3. Let r = s - 6.3. Which is the second biggest value?  (a) r  (b) 1\/5  (c) -0.6  (d) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*g + 4, 6 = 3*k - k - 5*g. Solve 3*n = 3*x, 0 = -n - k + 3 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = 11*z**2 - 16*z + 13. Let d(q) be the third derivative of -q**5\/12 + q**4\/3 - q**3 - 41*q**2 - q - 9. What is -6*b(x) - 13*d(x)?\nAnswer: -x**2 - 8*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = 324*j - 20. What are the prime factors of w(2)?\nAnswer: 2, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -7509.17 to the nearest 100.\nAnswer: -7500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-71 - 63 + 90)*(q**4 - q**5 - q**4 + (-4*q**2 + 0*q**2 + 5*q**2)*(2*q - 2*q - 2*q**3) + 4*q**5 + q**5 - 3*q**5).\nAnswer: 44*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12 = 3*h, -3*h + 23 - 8 = -3*y. Sort -2, -8, y in ascending order.\nAnswer: -8, -2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1 - -3) + (-4 - 7)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {l: 1, p: 1, y: 1, n: 2, e: 1, s: 1}. What is prob of picking 1 s and 1 l?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 184 minutes after 10:16 PM?\nAnswer: 1:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d*d**(-2\/7))\/(d*(d*d\/d**(-3\/4))\/d)*(d\/d**(-1\/4))**(-15\/8) assuming d is positive.\nAnswer: d**(-981\/224)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 417357 divided by -9.\nAnswer: -46373","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 93 + -38 + (1 - 3) + 17?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = -m**3 + 3*m + 3. Let y(r) = 4*r + 22. Suppose -4*p = 3*i + 30, 2*i + 3*i + 36 = -2*p. Let u be y(i). Let o(x) = x + 1. What is u*l(q) + 6*o(q)?\nAnswer: 2*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = r**2 + 2*r - 5. Let d(q) = -q**3 + q**2 + 3. Let l be d(0). Suppose 4*i - 4 = 2*i + 4*u, -l = u. What is c(i)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -0.47 from -16220398840.\nAnswer: -16220398839.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort -6, 13, 1\/5, 20\/49, 0.3, -0.1 in decreasing order.\nAnswer: 13, 20\/49, 0.3, 1\/5, -0.1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 25*x = -452665 + 1126340. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 99141565 to the power of 1\/2, to the nearest integer?\nAnswer: 9957","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.5 and -939948.\nAnswer: -469974","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 259832, 259830, 259828, 259826, 259824, 259822?\nAnswer: 259820","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 617491743 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -12 - -11.7. Let l = -0.3002 - b. What is l rounded to four decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*(sqrt(136)*2 - sqrt(136)))\/(sqrt(512)*-1).\nAnswer: -3*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3964?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -d15 (base 15) to base 5\nAnswer: -43240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 204 (base 10) to base 14.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -61 - -66. Suppose f*i + 265 = -5*u, 0 = -3*u - 5*i - 201 + 32. What are the prime factors of (90\/8)\/((-18)\/u)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence iejy when four letters picked without replacement from jieeeeeieeeyeie?\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m + 590 = -406. Calculate the greatest common divisor of 6 and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 82177 to the nearest integer?\nAnswer: 287","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 48885?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*sqrt(39))\/sqrt(3) + 4.\nAnswer: 4 + 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 6769, 13533, 20275, 26983, 33645, 40249, 46783?\n\"Answer: -2*n**3 + n**2 + 6775*n - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 29918909 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -62200 = 10*d - 0*d. Round d to the nearest one hundred.\nAnswer: -6200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-280)\/(-12)*(-6564)\/16410.\nAnswer: -28\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 212718 - 106371 - 106347 - 2*x**2.\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2518, -5014, -7512, -10012, -12514, -15018, -17524?\nAnswer: -20032","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 30, 72, 142, 252, 414, 640, 942?\n\"Answer: 2*h**3 + 2*h**2 + 22*h + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -52640 + 52644. Let d be 11\/4 - 1\/(-4). Solve 6*a - 4*n = f*a, 0 = -5*a + d*n - 7 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 532214 to the power of 1\/2, to the nearest integer?\nAnswer: 730","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3 + 0 - 2 + 114*x + 1 - 87*x.\nAnswer: 27*x - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -1003303133 - 2?\nAnswer: -1003303201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {c: 1, b: 9, v: 1, u: 6}. Give prob of sequence bbub.\nAnswer: 9\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -3128919 - -838919. What is g rounded to the nearest 1000000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is a4 + -5?\nAnswer: 9d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:42 PM and 6:06 PM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*w - h - 7 = 6*w, -14 = w - 2*h for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) be the second derivative of 2*y**6\/5 - y**5\/5 + 47*y**3\/3 - y + 31. Find the second derivative of p(r) wrt r.\nAnswer: 144*r**2 - 24*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*z + z = 0. Factor 16*i**2 - 1 - 8 + z*i - 28*i + 1.\nAnswer: 4*(i - 2)*(4*i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*c = -2*c + 4, a - 2*c + 19749984 = 0. Let h = a - -33249980. What is h rounded to the nearest one million?\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x - 3*k - 1 = 42, 3*k - 161 = 5*x. Let g = 74 + x. What is the units digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 19 divide 1482?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 41234 is divided by 243?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = 4*r**3 - 5*r - 7. Let t(n) = -12*n**3 + 14*n + 20. Let z = 73 - 81. Let o = z + -6. Calculate o*a(w) - 5*t(w).\nAnswer: 4*w**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 529\/(-231) - 8\/(-12). Let r = 21\/11 + u. Find g, given that -6\/7*g + r*g**2 + 4\/7 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*l - 31 = 29 for l.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 17091*v = 17116*v - 542 - 333 for v.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Convert -12100 (base 3) to base 5.\nAnswer: -1034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 5\/(-3) + 20\/30 + 3. Solve -5*v - 4 - 2 = -g, 0 = z*g - 3*v + 2 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*(-1*4*(sqrt(68)*1 + sqrt(68)) + 4).\nAnswer: -12 + 48*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -264*d - 4*w - 20 = -268*d, d + 20 = -4*w for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -37088*p**6 - 7*p**5 - 2545557*p**2.\nAnswer: -4450560*p**3 - 420*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t + 195 = -n, 5*t - 5*n = 45 + 180. Suppose -69 = -17*g + t. Solve 0 = -3*z - c, 2*z + 5*c - g = 6 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = 4*a + 5. Let q(z) = 1. Determine n(h) - 5*q(h).\nAnswer: 4*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 70622767?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) be the first derivative of -5\/2*n**2 + 0*n + 59. Let k(t) = -t. Let x be 1 + -1 - (1 + 0). Determine x*q(l) + 3*k(l).\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = 7*w + 8. Suppose -10*p + 66 = -7*p. What are the prime factors of b(p)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1188 (base 10) to base 6\nAnswer: -5300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o**(-9)*o**13)\/(o**9\/o**8))**(-1\/17) assuming o is positive.\nAnswer: o**(-3\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 1\/(-3 - (3 - 1)). Which is the second biggest value?  (a) x  (b) 0.4  (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = h**3 - 11*h**2 - 13*h + 16. Let k be p(12). Suppose 2*u = t + k - 53, -5*t + 29 = -u. Is u\/16*3932\/(-6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 2  (b) -11722  (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 76325 is divided by 5087.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -11609363*h**2*s**4 + 2307*h**2 - h*s**5 - 4064*h*s**2 wrt s.\nAnswer: -278624712*h**2*s - 60*h*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 499\/3 or -37.22?\nAnswer: -37.22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -n + 6 = 3*i, -5*n = -0*n for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.1363602734 take away 1?\nAnswer: -1.1363602734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = -2. Let n(k) = -9*k**2 - 22. Let x(w) = 2*n(w) - 22*y(w). Let r(p) = -4*p**2 + 30*p**2 - 21*p**2. What is r(x(j))?\nAnswer: 1620*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is three tenths of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -18*v + 78 = -66 for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q - 10 = -5*n - 0, 3*q = -3*n + 12. Suppose 120 = 2*j + q*g - 10, 2*j + 3*g - 130 = 0. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 16 - 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -3271, -12382, -27561, -48808, -76123?\nAnswer: -109506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is sixteen fifteenths of a hour in minutes?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 less than -2061416034?\nAnswer: -2061416029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 116657406 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -307 - -302. Let v be 1\/o - (-1)\/30. Suppose 0*a - 3*a = -12. What is the third smallest value in a, 5, v, -0.3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (0*z - 5*z + 4*z)*(-11*z**2 - 4*z**2 - 24*z**2) - 114*z**2 + 114*z**2 + 13*z**3 in the form d*z**2 + l*z + w + m*z**3 and give m.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t - 3 = 0, 0 = 2*h - 4*t - 53 - 47. Suppose 6*c - 5*c = 138. Suppose 0 = -7*x - 19 + c. Calculate the remainder when h is divided by x.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = 87*r**2 - 8*r + 10. Let h be p(4). Suppose -2*z + z = -h. Let g = 2805\/2 - z. Calculate the common denominator of g and 119\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -5  (b) -0.3  (c) -0.03  (d) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = -139*x**3 + x**2. Let c(m) = -69*m**3. Determine -4*b(a) + 9*c(a).\nAnswer: -65*a**3 - 4*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 548 + -554. Let o be 4\/i - (20\/3)\/(-4). Solve 6*v - o = -13 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = 5*i - 6. Let q be l(10). Let n be q + -3 + (0 - 2). Suppose 0 = -2*h - 11 + n. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*x**3 + 20*x**2 + 20*x - 80 = 0.\nAnswer: -2, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in 4, 0, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -56\/9 + 410\/63. Which is the nearest to j?  (a) -5  (b) 1\/8  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 105.0513 millimeters in nanometers?\nAnswer: 105051300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 12 - 5. Let r(d) = -d**3 + 7*d**2 + 5*d - 9. List the prime factors of r(h).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (-3)\/(-1) - (7 - 11625\/5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4*h**3 + 0*h**3 + 0*h**3 + 4*h**3 - h**3 - h**3 + (4*h + 0*h - 2*h)*(0*h**2 - 4*h**2 + 6*h**2) + 3*h**3 - h**3 - h**3 + (-4 + 4 + h**2)*(h + h + 0*h).\nAnswer: 13*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -92 - -91. Suppose 21 = -v - 4*s, -3*s - 8 = -s. Let h be 0 + 6\/v + 1. Which is the closest to f?  (a) h  (b) 2  (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -7503063.839 to the nearest one thousand.\nAnswer: -7503000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 35, 118, 263, 476, 763, 1130, 1583?\n\"Answer: h**3 + 25*h**2 + h + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 6\/7?  (a) 365  (b) -10  (c) 2  (d) -2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 722046288 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.011 plus -1.5?\nAnswer: -1.511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -6993 divided by -189?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-10)\/(1 + (-35)\/21)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*m - 14 = 4. Let q be (-4)\/(-22) + (-1634)\/(-209). Factor 8*c**m + 20*c**4 + 17*c**3 + 8*c**2 - q*c**2 + 10*c**2 + 5*c**5.\nAnswer: 5*c**2*(c + 1)**2*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.3 and -1.73?\nAnswer: 0.519","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h = -1, -2*f + 1 = 3*h - 6. Suppose 0 = -3*y - 2*o + 29, -2*y + 16 = o - 3. Let d = y - 8. Sort d, -5, f.\nAnswer: -5, d, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 39676245 and 1155.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -57 - -57.1. Let s(u) = u - 12. Let d be s(7). Sort y, -3, 1, d in decreasing order.\nAnswer: 1, y, -3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3784*g - 3835*g = -510 for g.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*f + f + 16 = 4*y, 2*f = 4*y + 32. Calculate the lowest common multiple of 11 and f.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 10*6\/(-252)*(-567)\/(-162)?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -17881 - -17908. Let g(i) = -9*i**3. What is the lowest common multiple of g(-1) and l?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*r**4 - 484212*r**3 + 26051896800*r**2 - 467266815840000*r + 1868650464000000.\nAnswer: 3*(r - 53800)**3*(r - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 97.13526 - 0.12526. Let w = d + -97. Which is the second biggest value?  (a) w  (b) -0.5  (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -75 less than or equal to -1829\/24?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2514 is divided by 160.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 3581, 3580, 3579, 3578, 3577?\n\"Answer: -g + 3582","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 5, 4, -2, 3\/8.\nAnswer: -2, 3\/8, 1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Product of 23 and -3.952.\nAnswer: -90.896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Round -160077.2 to the nearest one hundred.\nAnswer: -160100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:16 AM and 9:41 AM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 8328, 16502, 24676, 32850?\n\"Answer: 8174*s + 154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -38*m + 33*m + 105 = 0. Which is smaller: m or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -7 + -707355366.7.\nAnswer: -707355373.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 63 divided by 231824\nAnswer: 63\/231824","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Work out 7.3 * 697.\nAnswer: 5088.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 12*a + 12*a - 5*a**4 - 7*a - 10*a**4 wrt a?\nAnswer: -180*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 21.06 and 36.\nAnswer: 758.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -2.8 - -2.9. Which is the smallest value?  (a) -0.5  (b) n  (c) 5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -16470 divided by 5.\nAnswer: -3294","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (6 - 5)*(-372)\/(-2). Let u = d - 111. What is the common denominator of 22 and (-1)\/(-3) + (-160)\/u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*sqrt(36))\/(sqrt(243)*3).\nAnswer: 8*sqrt(3)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -2  (b) 5  (c) 1510  (d) 0  (e) 16\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -521*h - 115*h + 3580 = 872*h + 30724 for h.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) be the third derivative of 0*m - m**2 + 0 + 0*m**6 + 0*m**5 + 0*m**3 - 1\/105*m**7 - 1\/8*m**4. Find the second derivative of a(l) wrt l.\nAnswer: -24*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 72 and 360.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = -r - x, 46*r = 41*r + 4*x + 16. Solve -c = 3*i - r + 3, 4*c = -4*i - 12 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence lx when two letters picked without replacement from llxcaxaf?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 7021 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 are the prime factors of 2598?\nAnswer: 2, 3, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 76309 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s = v + 4*s + 26, -5*s = -4*v - 4. What is the common denominator of -137\/6 and (-4)\/v*162\/66?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -148.58 - -148.78. What is the closest to 3 in 3, 2\/69, -1\/2, d?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine a, given that -2*a**3\/3 + 2304*a**2 - 62026*a\/3 - 22980 = 0.\nAnswer: -1, 10, 3447","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 15018?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) be the first derivative of 33*x**4 + x**3\/3 - 5*x**2\/2 + 4*x - 168. Is q(1) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2817195?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -4554, -4549, -4542, -4533, -4522, -4509?\n\"Answer: v**2 + 2*v - 4557","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 16.1, 0.2, -0.2, -0.3, -5, 4\/15?\nAnswer: 16.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sum 6381876338061 and 0.3.\nAnswer: 6381876338061.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*m - 8*m - 744 = 0. Suppose 14*x - m = 11*x. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 4245, 8494, 12743, 16992?\nAnswer: 21241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -v - 222*d = -219*d + 2, 0 = -2*v + 2*d + 12 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 432 minutes before 8:50 PM?\nAnswer: 1:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 277*l - 267*l - 5887 + 5887.\nAnswer: 10*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 5 + -3. Suppose 3*w - 20 = -4*x - 0, 10 = 5*w + 2*x. Suppose u*j + 2*n = j - 60994, 3*j + 5*n + 182985 = w. Round j to the nearest ten thousand.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.04, 92, 3\/638, -11 in decreasing order.\nAnswer: 92, 0.04, 3\/638, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = 4*y**2 + 2*y - 2. Let m be (-4 + (-80)\/(-25))*-5 + -32. Let j be (-2 + 1)\/((-14)\/m). Calculate t(j).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -8947\/568 - -1\/568. Find the common denominator of l and -109\/780.\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 99 and 37554?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 10 + -5. Let s = -1994\/19 + 105. Sort -0.5, -4\/5, s, i in decreasing order.\nAnswer: i, s, -0.5, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -20*p + 4 + 2 - 7.\nAnswer: -20*p - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = 3*y**2 - 184634. Let u(l) = -5*l + 21. What is u(q(b))?\nAnswer: -15*b**2 + 923191","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 66609.\nAnswer: 3, 2467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ys when two letters picked without replacement from {b: 1, f: 1, s: 1, y: 5, q: 1, h: 4}.\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:44 AM and 2:43 AM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -167*y**2 + 169*y**2 + 1 - 1.\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -3 - -2.9. Let v = p - 0.05. Let y = v + 0.150064. Round y to five decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -3 + 15 + -13 + -2 + -1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -1\/17, -0.5, -0.4, 2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.5 in -0.09203, 1, -3?\nAnswer: -0.09203","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.204816 to two dps.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 7 - (-3)\/(-4)*(-100)\/(-15). Solve 8 = 3*v - 2*a - 3, s*v - 18 = -4*a for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 265223530*b**4 + 108231*b**2 + 544*b wrt b.\nAnswer: 6365364720*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -96 - 3?\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -0.29 + 3.29. Which is the nearest to -1?  (a) -4\/9  (b) d  (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2?  (a) -1  (b) 0  (c) -1\/15  (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express (3*t**2 + 3*t - 3*t)*(t + 2 - 2) + (5*t - 5*t - 4*t**2)*(2*t + t - 6*t) - t**3 + 28 - 28 as z + j*t**3 + n*t + g*t**2 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -5, 12, 85.\nAnswer: -5, 1, 12, 85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -4\/3 or 735?\nAnswer: 735","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 21000 and 1568.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = -48035*m - 288120. Give b(-6).\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) be the first derivative of 0*v - 11\/3*v**6 + 0*v**4 + 0*v**5 + 27 + 0*v**3 + 23\/2*v**2. Find the second derivative of s(t) wrt t.\nAnswer: -440*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 35 - 30. Let b = -569 - -1211. Suppose 4*j - 328 = -2*s + b, 0 = 3*s + y*j - 1455. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t = -3*t + 112. Let b(f) = f**2 - f - 26. Let s be b(-6). Calculate the greatest common factor of s and t.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 2*z - 1 + (1 - 2 + 0)*(z + z - z))*(-2 + 1 + 0).\nAnswer: 3*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -5096, -10029, -14664, -18851, -22440, -25281, -27224, -28119?\n\"Answer: 25*k**3 - k**2 - 5105*k - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1835420?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express -1253 - 1221 + 25*p**2 + 22*p + 2475 as v*p + l*p**2 + o and give v.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -v + 7*v**2 - 6 + v + 7 - 2*v**3 to j*v + t + i*v**2 + n*v**3 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -14 - -4. Let t = m - -26. Suppose 4*c - t = -4. List the prime factors of c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1099541 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00958 plus 0.0402?\nAnswer: 0.03062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h\/(h**6\/h)*h**13)**(-1\/28) assuming h is positive.\nAnswer: h**(-9\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from snssosssssnsssnsso. What is prob of sequence nons?\nAnswer: 13\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -44 + 47. Suppose 3*n + i + 3 = 15, -i = t. Let m = n - -91. Is m a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -h + 4*l + 13, 5*h - 4 = -l - 2. Let r be 2\/(h\/(4 + -2)). Suppose -b + 23 = r. Calculate the highest common factor of b and 57.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*o**3 - 2*o**3 + 2*o**3 + 21 + o**3 - 8 - 2 + (6*o - 3*o - 5*o)*(2*o**2 - 2 + 2) to i*o**2 + y*o + p*o**3 + h and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) be the third derivative of -29*o**9\/168 + o**6\/60 + o**5\/30 - 79*o**3\/6 + 12*o**2 - 2. What is the third derivative of z(b) wrt b?\nAnswer: -10440*b**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4 - 0 - (1 + -5 - -1).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = 346*z**2. Let h(g) = 1746*g**2. What is h(a(l))?\nAnswer: 209024136*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = -4*y**2 + 13. Let t = 3013 - 3016. Let j(p) = -3*p**2 + 13. Give t*j(c) + 2*q(c).\nAnswer: c**2 - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = 4124*j + 3. Suppose 2*k + 1 = 2*r + 9, -4*r = 3*k - 5. Let t be b(r). Calculate the remainder when 187 is divided by t\/(-195) + 4\/(-30).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = -4*m. Let q(z) = z. Let a(c) = 15*c. Let h be (4 - 0)\/((-2)\/(-30)*3). Let y(t) = h*q(t) - a(t). Determine d(y(w)).\nAnswer: -20*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*w**2 + 0*w**2 + 4*w**2)*(-3*w**2 + 3*w**2 + w**2) + 832*w**2 + 7678*w**4 - 1672*w**2 + 840*w**2.\nAnswer: 7680*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 24 and 120?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 279448 is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 36804 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2*q**4 + 47*q*z + q - 1251*z wrt q.\nAnswer: -8*q**3 + 47*z + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 11894 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 202 - 202.099. Let n = p - 0.491. Round n to 1 decimal place.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**(-3))**(25\/6)*((f**(-9)*f)\/f)**(4\/13) assuming f is positive.\nAnswer: f**(-397\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 6939, 6916, 6893, 6870, 6847, 6824?\nAnswer: 6801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0 + 8 - ((24 - -16) + -57)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify b\/b**(-14)*b\/(b\/(b*b\/b**31)*b)*(b\/b**(-3\/4))**(-1\/4) assuming b is positive.\nAnswer: b**(-247\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -53*j*l + 31*j - 1246*l wrt j.\nAnswer: -53*l + 31","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 229\/7 - (-10)\/35?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 0\/(-2*(-2 + 3)). Suppose 26*m - 27*m + 283 = -r, f = 5*r + 15. What is the hundreds digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.9994168km in centimeters?\nAnswer: 99941.68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = 10*k - 4*k + 16*k. Let b = -2041 + 2034. Let o(f) = -7*f. Give b*o(d) - 2*l(d).\nAnswer: 5*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -64 + 152*p**3 + 7*p**2 + 15*p**2 - 32*p**2 + 11*p**2 wrt p?\nAnswer: 912","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.2 + 0.7. Let u = 0.69 + -0.89. What is the second biggest value in u, -4, j?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -78, -114, -178, -270?\n\"Answer: -14*q**2 + 6*q - 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.4, -1, -3, 4 in descending order.\nAnswer: 4, -0.4, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7 + 3 = -d. Suppose -11 = -5*z + 5*g + d, g = -z + 5. Let b = 3 - z. Which is greater: b or 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -26 + 25.2. Let t = n + -0.2. What is the nearest to t in -5, 0.2, 2\/9?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = -2*h - 3*l, h = 2*l - 7 - 2. Let d(g) = 2*g**3 - 2*g**2. Let w(i) be the first derivative of i**4 - i**3 + 258. What is h*w(z) + 5*d(z)?\nAnswer: -2*z**3 - z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 127*u**3 - 141 + 185*u**3 - 36 - 21 with respect to u.\nAnswer: 936*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -222, 4, 1 in decreasing order.\nAnswer: 4, 1, -222","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = -g**3 + 59*g**2 - 225*g + 282. Give d(55).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*v - 2*z - 120 = 6*v, -4*v + 495 = -3*z. What are the prime factors of v?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -1 - 13 - l**2 + 0*l + 4*l**3 - 2*l - 62 - l**3 to t*l**2 + d*l**3 + n*l + i and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 114804 is divided by 12755.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand 542 + 114*d**5 - 542 + (3*d - 2*d - 3*d)*(-3*d**2 + 2*d**3 - 3*d**3 + 4*d**2)*(-3*d + 2*d + 8*d + (-d + 2*d + d)*(-4 + 1 + 1) - 1 + d + 1).\nAnswer: 122*d**5 - 8*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 307049877.\nAnswer: 3, 5581, 6113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 76\/24321 and -62\/15477.\nAnswer: 170247","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Factor -k**2\/7 + 279*k\/7 + 16830\/7.\nAnswer: -(k - 330)*(k + 51)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Divide 567630 by -42.\nAnswer: -13515","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 419 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) be the first derivative of x**2\/2 - x - 3. Let o(i) = 6*i - 2. Let s(b) = 3*m(b) - o(b). Differentiate s(d) wrt d.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r + 18 + 164 = 0. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 9230112?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/5 in -1276, -1, 21, -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0 + -20. Let v = -20.5 - j. Which is bigger: v or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6 = 8*m - 2*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 903219 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 9936278?\nAnswer: 2, 11, 19, 2161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -23 - -27. Let n = -0.47 + 0.47. Let q = 0.24 - -0.76. What is the closest to n in 0, q, a?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = -2*k**2 + 5*k. Let v(q) = -2*q**2 + 2*q - 2. Calculate -7*v(j) + 6*z(j).\nAnswer: 2*j**2 + 16*j + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 49\/91808 and -67\/432.\nAnswer: 2478816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 470 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: What is the second derivative of 14*q**2*v**4 + 4*q**2 + 109518*q*v**4 - 211*v + 157 wrt v?\nAnswer: 168*q**2*v**2 + 1314216*q*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 40\/509 <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 13349393 a multiple of 78?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n = 0, 4*w + 2*n - n - 384 = 0. What is the highest common divisor of w and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) be the second derivative of a**5\/20 - a**4\/2 - a**3 - a**2 + 10*a. Let i be q(7). Solve i = -3*w + 2 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -26 = -7*s + 44. Suppose 2*y + 3*n = -14, -2*y - 2*n - s = -n. Let a(k) = 2 - 4 - 4*k**2 - k**3 - k - k. Determine a(y).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3*((-2)\/6)\/((-90)\/450)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Do 1 and -43\/9652 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 50.7 - -31053148784?\nAnswer: 31053148834.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 308 - 73. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 4410*w + 1792*w**4 + 3213 + 4939*w**4 - 1469*w - 1468*w - 1471*w wrt w?\nAnswer: 80772*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16 = 4*m - 0*m. Let q be m\/(-12) + (-11)\/(-3). Suppose q*b - 3*k = 39, -4*k - k + 31 = 4*b. What are the prime factors of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 94118*m**3\/5 - 37637*m**2 + 94016*m\/5 + 51\/5.\nAnswer: (m - 1)**2*(94118*m + 51)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = -6. Let n(j) = j - 11. Let t(v) = -3*n(v) + 5*q(v). Let u = -13 - -16. Give t(u).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -28768581 to the nearest 1000000.\nAnswer: -29000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = 117*m**4 - 4*m**2 + 11*m - 49. Let o(w) = -175*w**4 + 6*w**2 - 17*w + 76. Let i(f) = -8*a(f) - 5*o(f). What is the second derivative of i(u) wrt u?\nAnswer: -732*u**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = 2*c - 12. Let q be t(5). Let z be ((q + 10)*-6)\/(-1). Suppose -z = -n - 0*n. Is n a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in fifteen quarters of a litre?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 92, 510, 1600, 3698, 7140, 12262?\n\"Answer: 56*f**3 + 26*f + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -7.40000584 + 7.4. Round s to six decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 100*0.1.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 42 a factor of 3374?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 21.5 + -24.5. What is the fourth biggest value in -5, -11, a, 0.2?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = -5*q**3 + 2*q - 1. Let m = 12 - 40. Suppose -38 = 2*d - 96. Let j = m + d. Give k(j).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*f - 155 = 5*r, 4*f + 3*r = -240101 + 240197 for f.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 811085 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 6696081 and 224.\nAnswer: 214274592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 35.774 + -38.774. Let q be ((-1)\/(-3) + 0)*-2. What is the nearest to q in -0.4, 18, a, 0?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 12375 and 517?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 110 + -4?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {v: 1, k: 2, g: 1, q: 1}. Give prob of sequence qq.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -611 + 1210. What is the remainder when v is divided by 24?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1 - 546.\nAnswer: -547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 462871573 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many days are there in 1455.7671 minutes?\nAnswer: 1.010949375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:57 AM and 1:40 PM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*b = 33*b - 131*b + 1209. Suppose 4*s - 4 = 8. Suppose -q - 10 = -s*q. What is the remainder when b is divided by q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:03 PM and 11:25 PM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -36, 0, 36?\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**(-1\/7)\/y*y*y)**49*((y**12\/y)\/y)\/(y**(1\/3)*y) assuming y is positive.\nAnswer: y**(152\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = 3*s**3 + 2*s**2 + s - 2. Let k(l) = -9 - 2 + 11*l**2 - 54*l + 16*l**3 + 59*l. Suppose 20 = -2*c - 2. Determine c*u(x) + 2*k(x).\nAnswer: -x**3 - x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {y: 3, e: 15}. Give prob of picking 3 y.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -24785 + 24798. Solve -4*v = -7*v - m, 4*v - 3*m = -i for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 13.5 - 13. Let i = -52\/329 + -6\/47. Let q = -0.8 + 0.5. What is the nearest to i in -0.2, q, v?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-3)\/(2*9\/(-66)). Suppose w*u + 277 - 3610 = 0. List the prime factors of u.\nAnswer: 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 36*c**4 + 2388*c**3 - 6572*c**2 + 3580*c - 552 = 0. What is c?\nAnswer: -69, 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from nyznyyzyzyznzzn. Give prob of picking 2 y and 2 z.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0 + 0. Suppose 3*x - 2*x - 4*a = 18, a - 27 = -5*x. Suppose -5*c + x = -2*l - 14, 3*l = 3*c - 21. Solve s = -c*o - 1 + 5 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3939170 divided by -4\nAnswer: -1969585\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 3994\/821915 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:21 AM and 2:38 PM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = 95*r - 18. Give o(3).\nAnswer: 267","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 9338 divided by -203.\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*(((-5*(-2 + sqrt(1053)) - sqrt(1053)) + (sqrt(1053) - (1 + sqrt(1053)))*-4 - (-1 + 2*(sqrt(1053) + 2 + sqrt(1053) + sqrt(1053))))*4)**2.\nAnswer: -228096*sqrt(13) + 14568288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 22279?\nAnswer: 22279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h be -50 + (-1 - 0) - (33 + -29). Let x = h - -47. Let t(f) = -f**2 - 7*f. Let l be t(x). Sort l, 4, -4, 2 in decreasing order.\nAnswer: 4, 2, -4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -6 in 13, -561, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = -264*f**2 + 5*f - 2. Let g(l) = 262*l**2 - 4*l + 2. Determine 5*g(i) + 4*v(i).\nAnswer: 254*i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 4\/6*108\/(-3272). Let q = 39691\/818 + c. Are 49 and q equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 9*s**3 + 40 - 2*s**3 - 36 wrt s.\nAnswer: 21*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -64310 divided by -4.\nAnswer: 32155\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (13\/(-5))\/(4\/(-20)). Let h = -10 + p. Solve -2*y + 2*l + h = -y, 0 = -3*y - 3*l - 27 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2*1054.\nAnswer: -2108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 831, 1660, 2501, 3360, 4243, 5156?\n\"Answer: n**3 + 822*n + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-2)\/14 - (-12)\/476. What is the closest to 2 in -0.5, h, -1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2923 is divided by 494?\nAnswer: 453","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = -n**2 - 4*n - 2. Let d(r) = r**2 - 10*r + 6. Let l be d(9). Let y be v(l). Suppose -6419 = -18*i - 6365. Sort 4, y, i.\nAnswer: y, i, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = 2*w**2. Let j(m) = m**3 + m**2 + 2*m. Let a be j(2). Let i(c) = 38*c**2 - 31*c**2 - a*c**2. What is i(x(y))?\nAnswer: -36*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from fffffffxfffffxffff. What is prob of picking 4 f?\nAnswer: 91\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2804 is divided by 927?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*k = 3*d + 16, k - 5 = -0*k. Solve -3*r**2 - 4*r**3 - 2*r**3 + 4*r**d - 3*r**2 - 4*r = 0 for r.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = 76*m - 55. Let k be q(0). Suppose -h = 2*h + x + 486, -5*h - 4*x = 803. Let i = k - h. What is the highest common divisor of 24 and i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 16 - 9. Let s(r) = -r**3 + 7*r**2 + r - 7. Let z be s(j). Solve 20 = -z*o + 5*o - 4*c, -c = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 696.743l to millilitres.\nAnswer: 696743","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 442698, 884162, 1325626, 1767090, 2208554, 2650018?\nAnswer: 3091482","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6462.\nAnswer: 2, 3, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = -2*t + 14. Let h be k(0). Suppose h*n = 17*n - 12. What is the least common multiple of 4 and n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 5\/907 or 0?\nAnswer: 5\/907","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {o: 5, b: 8}. What is prob of picking 2 o?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1500 and 360.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = 2*c**2 - 3*c. Let y(b) = -b**3 + 5*b**2 + 7*b - 2. Let f be y(6). List the prime factors of r(f).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -2\/63 - 59\/126. Let t = 0.8 + -0.4. Let k = t + -0.3. Which is the closest to -2\/5?  (a) i  (b) k  (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -19711\/2655 - 6\/295. What is the common denominator of u and -61\/44?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -18725 + 33093. What are the prime factors of h?\nAnswer: 2, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = 2*z**2. Let l = -11 + 15. Let i be (l\/(-16))\/((-2)\/8). Let w(u) = -20*u**2 - 1 + 24*u**2 + i. Give y(w(c)).\nAnswer: 32*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 5693 and 19518.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 508 minutes after 9:41 AM?\nAnswer: 6:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 186 - -8?\nAnswer: 193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1736*w + 2797*w + 4432*w.\nAnswer: 5493*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-4)\/22 + -4 + (-723)\/(-165). Which is the second biggest value?  (a) f  (b) -4  (c) -0.141\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1.6?  (a) -0.4  (b) -1  (c) -18  (d) -4  (e) -846\/23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Does 9 divide 873330?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ngh when three letters picked without replacement from gghhhrhnrnnh.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) be the second derivative of 0 + 7\/6*p**3 - 7*p + 0*p**2. Let k(n) = n**2. Let j(c) = -2*c**2. Let l(h) = j(h) + k(h). Determine q(l(m)).\nAnswer: -7*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j**4 + 24*j**3 - 64*j**2 = 0. What is j?\nAnswer: -8, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((o*o**(-6\/11)*o*o)\/o)\/((o\/(o\/(o\/o**(-2)))*o)\/o))**(38\/7)*(o**(-2\/5))**(5\/2)*(o*o**(-7))\/o*o**(-2\/5) assuming o is positive.\nAnswer: o**(-6464\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 2\/3, 4, 91.89, 1661?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(304)*2)**2*1 + 1*(0 + sqrt(304)).\nAnswer: 4*sqrt(19) + 1216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from {q: 2, r: 1, n: 2, p: 1, i: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 80\/(-360)*-9*6.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -2 - -3. Let u = 2.8 - 3. Let k be (-1711)\/(-531) + -3 + 0. Which is the third biggest value?  (a) u  (b) k  (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2 (base 6) to base 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -61 - -63. Which is the closest to 2\/7?  (a) -2  (b) 0.3  (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 less than -7\/479267?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve u = -i - 4, 4*u + 24 = -8*i + 12*i for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 4539 and 10506.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = 3*n + 50. Let w be j(-14). Let u(k) = -k**3 + 8*k**2 + k - 2. What are the prime factors of u(w)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 7, 4, -7, -32, -77, -148, -251?\nAnswer: -392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*(-3 + (((sqrt(68) - (3 + 1 + sqrt(68) - sqrt(68)))**2 + sqrt(68))*6 - -5*(sqrt(68) + sqrt(68) + sqrt(68)*-2 + 3))).\nAnswer: -504*sqrt(17) + 3096","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.1 take away 268630?\nAnswer: -268629.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 31 - 5210434?\nAnswer: -5210403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 119396930 rounded to the nearest 100000?\nAnswer: 119400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 29 + -20. What is the smallest common multiple of 6 and m?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (17682\/(-14735))\/(((-48)\/168)\/((-70)\/(-3)))?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3 (base 10) to base 3.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*(sqrt(35)\/sqrt(5)*4 + sqrt(7)).\nAnswer: -30*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 1159 + -28974\/25. Let j(i) be the first derivative of -t*i**5 - 1\/10*i**2 + 17 + 0*i + 1\/15*i**3 + 1\/20*i**4. Factor j(w).\nAnswer: -w*(w - 1)**2*(w + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = 149*o + 12. Let c be h(-3). What are the prime factors of (-4)\/(-8) - c\/10?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 24735900.\nAnswer: 2, 3, 5, 7, 11779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -0.0726 - 0.3374. Let h = g + -5.59. Which is smaller: 1\/3 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in twenty-five eighths of a tonne?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -801 - -800. Let t(n) = 4*n - 29. Let w(o) = -8. Let i(l) = b*t(l) + 3*w(l). Calculate i(-4).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is thirty-one fifths of a millennium in centuries?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express -246 + 246 + 20*t**2 - 226*t**2 as n + i*t + p*t**2 and give p.\nAnswer: -206","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"}
{"text":"Question: Let k = -29 - -45. Is k a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (1 + 1)*63\/6. Let t(p) = -3*p**3 - 4*p**2 + 4*p + 4. Let k(h) = 15*h**3 + 21*h**2 - 21*h - 21. What is f*t(c) + 4*k(c)?\nAnswer: -3*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.0767198 + -52951978.5.\nAnswer: -52951978.5767198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 101 is divided by 14.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y*y**(1\/2)*y**(2\/23)*(y\/(y\/(y\/y**(-1\/3))))\/(y**(-3)\/y))**(-1\/9) assuming y is positive.\nAnswer: y**(-955\/1242)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 527 times -26712?\nAnswer: -14077224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 4427*v**2 - 4206 wrt v?\nAnswer: 8854*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-6*sqrt(50))**2 + sqrt(8)\/(sqrt(20)\/sqrt(5)))*-3.\nAnswer: -5400 - 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express (165763*n + 5 - 5 - 158699*n)*(-n**3 + 63 - 63) as u*n + m*n**4 + x*n**3 + s*n**2 + h and give m.\nAnswer: -7064","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in eight thirds of a day?\nAnswer: 3840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 52 + 0?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 748067 to the power of 1\/5, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 8.6888um in meters?\nAnswer: 0.0000086888","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1546.\nAnswer: 2, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 267199403*j*u - 5259147*j + 48 wrt u?\nAnswer: 267199403*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 28 - (-14*10\/(-35) + 2). Solve 30 = -i*l + 28*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 t and 2 v when three letters picked without replacement from vttvttt?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 121202 + -102?\nAnswer: 121100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = -2*y**2 + y + 1. Let z(l) be the second derivative of l**4\/12 - l**2\/2 - 2*l. Let n be z(-2). Suppose n*f + r + 11 = -r, -2*r - 5 = -3*f. Give t(f).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 72 = 31*i + 22*i - 29*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = a**3 - a**2 + 3*a + 1. Let l be o(7). Suppose 3*h + l = 7*h. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -26780 rounded to the nearest one thousand?\nAnswer: -27000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 15541?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 4*d + 8, -7*p - 19*d - 31 = -8*p for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve q + 51*y + 1 = 49*y, -3*q = 2*y - 1 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 84\/112 - ((-9375)\/(-12852) - 0) and 65\/153.\nAnswer: 1071","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2 + 72 + 3)*(-1 + 2*s**3 + 1) to t*s + u + x*s**2 + z*s**3 and give z.\nAnswer: 154","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 20 a factor of 9009660?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Does 7 divide 4096496?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = 2 - i**3 + 1630*i**2 - 514*i**2 - 546*i**2 - 543*i**2 + 160*i. What is w(32)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -205 and -191 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 413 is divided by 26.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 14  (b) -46599  (c) -0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 22252 is divided by 214.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*p + 2*p - 16. Let i(f) = 9 - 20 + 8 - p*f + 10 - f**2. Let c be i(-5). What is the smallest value in c, -5, 5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2562576697 - 116.7.\nAnswer: -2562576813.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {q: 3, s: 5, f: 2}. What is prob of sequence fsq?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:30 PM and 10:11 PM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) -6  (b) 0.5  (c) -0.2  (d) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = 3*m**2 - m. Give l(-5).\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*b - 344 = 2*i, 5*b - 4*i = i + 420. Let h be (-2)\/(-4) + (-28)\/b. What is the closest to 1\/4 in h, 1\/8, 2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = 24*z - 1. Let n be j(1). Let a = 18 - 31. Let q = n + a. Calculate the remainder when q is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = j**2 - 7*j - 1. Suppose 4*y = 93 + 87. Suppose 3*m = 5*q - y, 0*q + m + 29 = 4*q. What is o(q)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence tc when two letters picked without replacement from ceitiie?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from cmccccwdccwcc. What is prob of sequence dwwm?\nAnswer: 1\/8580","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -19*n + 13 = -63. Solve 8*y - 3*y - i = 17, n*y - 28 = -4*i for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 117510 and 42?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -44\/5559 and -65\/57.\nAnswer: 105621","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00052168 to 4 dps.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1938 + 1937.87. Let q = -3 - -3. What is the closest to q in -5, 1, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) be the first derivative of 177*d**2\/2 + 157*d - 46. What is the first derivative of v(a) wrt a?\nAnswer: 177","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 1172552 + 20?\nAnswer: 1172572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/3?  (a) 4  (b) 1\/8  (c) 3\/25  (d) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = 4*i + 9. Let z(d) = -d**2 - 22*d - 104. Let h be z(-15). Let v(m) = m + 1. Calculate h*q(u) - 5*v(u).\nAnswer: -u + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in nine tenths of a kilogram?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (63\/2)\/((-4)\/8). What is the least common multiple of ((-2)\/(-6))\/((-1)\/w) and (2\/(-4))\/(3 + ((-2888)\/48)\/19)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -2\/115  (b) 0.1  (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: ((-9)\/54)\/(18\/(-432))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 11 + -26. Let u be h*(-2 - (-26)\/10). Which is the nearest to 0.1?  (a) 0.5  (b) -0.2  (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -3, -2, 0.4, 2170, -1, -0.2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14 = -3331*h + 3333*h for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 2  (b) -2\/3  (c) 0.088  (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 5 or -12357243.6?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = -2*z**2 - 7*z. List the prime factors of m(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when (-460)\/8*6\/(-5) is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (12*(-26)\/6864)\/(1\/4*-2).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = 7*b**3 - 2*b**2 - b - 4. Let c be a(4). Is c\/(-16)*8\/(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/10 of a millimeter in micrometers?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 6 + (-15 - -9) + (-9 - 13)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 21*r**3 + 2*r**2 + 119*r wrt r.\nAnswer: 126*r + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 16743 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -0.1613 - -139.5613. Let w = l + -134. Which is the third biggest value?  (a) w  (b) -5  (c) 3\/7  (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4.76857l in millilitres?\nAnswer: 4768.57","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.06 - -0.56. Let c = p - 1.5. Let g = c + 6. What is the second biggest value in -2\/11, g, -0.5?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-56)\/84)\/((-4)\/(-258))*(-3)\/(-30)*10.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = 9*q + 2. Let g be -4 + (15 - -6 - 10). Let p(l) = -26*l - 7. Calculate g*d(m) + 2*p(m).\nAnswer: 11*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 2, 357, 0.5, 0.29?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 352 or 360?\nAnswer: 360","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000585061987 to 7 dps.\nAnswer: 0.0005851","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (0 - -4040) + (-47)\/(-47).\nAnswer: 3, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) = 18*h - 1083. Determine j(58).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-3)\/(-9)*3 - -3. Factor -3 + 41*t - 5 - h*t**2 - 29*t.\nAnswer: -4*(t - 2)*(t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4863149 is divided by 90?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 806588 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*a**2\/7 + 4*a + 96\/7.\nAnswer: 2*(a + 6)*(a + 8)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Does 3 divide 282969?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**(-3\/4)*y**(5\/6)*(y**(-1\/3))**(-21))**0 assuming y is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 89\/4 + (-819)\/252?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = 7*b. Let x = 44 - 43. Let u be k(x). Let q be 20 - u - 0\/2. What is the greatest common divisor of q and 104?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -564099 times -75?\nAnswer: 42307425","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 159 = 4*i + 3. Suppose 49 = 2*g + i. Suppose 0 = 5*j + g, 2*s + 2*j = 5*j + 11. Solve -3*c + 20 - 4 = -s*b, 19 = -3*b + 4*c for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 491, 1938, 4345, 7712, 12039, 17326, 23573?\n\"Answer: 480*p**2 + 7*p + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 90262181.\nAnswer: 29, 3112489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort 7, -0.58, 0, 111 in descending order.\nAnswer: 111, 7, 0, -0.58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -440 - -188. What is the units digit of (-2)\/8*x\/9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 827640 and 165.\nAnswer: 827640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**(-16)\/i*i\/(i**40\/i))\/((i**(5\/2)*i)\/i*i**(-1\/47)) assuming i is positive.\nAnswer: i**(-5403\/94)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 1 + -6. Let y be n\/15 + (-38)\/(-6). Suppose -2*q + 2*v = -4*q - y, 0 = -v - 4. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from qqggtoggqoq. Give prob of picking 2 o and 1 q.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*sqrt(76)\/sqrt(4) - sqrt(475)*4)**2 - sqrt(228)\/((sqrt(24)\/sqrt(2) + sqrt(12))*4).\nAnswer: -sqrt(19)\/8 + 4275","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {s: 1, o: 1, a: 1, p: 1, e: 2, y: 2}. What is prob of picking 1 p and 2 y?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 66520970 a multiple of 865?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 5510064 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2\/15 - 202\/(-60).\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/13, -0.5, -3, -12, -2\/11 in ascending order.\nAnswer: -12, -3, -0.5, -2\/11, -1\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 669 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = -2 + p - 3 - 3 + 5. Suppose c - 9 + 12 = 0. Calculate u(c).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 548*x = -247*x + 1043 - 83723 for x.\nAnswer: -104","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = u**2. Let z(b) = -329609*b. Give z(s(l)).\nAnswer: -329609*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1 + 2. Suppose -h*l - 1 = -3*p + 5*p, -2*l + p - 10 = 0. Which is the nearest to 4?  (a) l  (b) -4  (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = w**3 + 3*w**2 - w + 5. Let x be r(-3). What is the third derivative of k**2 + 0*k**6 - 9*k**6 - x*k**2 wrt k?\nAnswer: -1080*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 12 and 324.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = -7*p**2 - 44*p - 3. Let u be n(-6). Let c be (-1 + 1 + -9)*-11. What is the highest common divisor of u and c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-3542)\/(-690) + 4\/(-30). Solve 0 = p*h - z + 28, -4*h - 2*z - 9 = -h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x = -3*a - 32, 12 = 5*a - 2*x + 42. What is the tens digit of (-295)\/(-10)*-3*a\/6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 5859 and 363258?\nAnswer: 363258","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -249 + 250. Let l(m) = m**2 + m - 1. Let t(u) = -5*u**2 - 4*u + 1. What is k*t(y) + 2*l(y)?\nAnswer: -3*y**2 - 2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 5*h**4 + 2*h**3 + 21*h**2 + 62*h - 6.\nAnswer: 60*h**2 + 12*h + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = u - 11. Let s be h(5). Let r be 400\/s - (-3)\/(-9). What is r rounded to the nearest 10?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 2*((-25)\/(-2))\/5. Suppose -2*r = -w - 3, 0*r = -w - 2*r + o. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*a + 13734*f - 66 = a + 13732*f, 0 = f - 18 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 101161467 is divided by 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 6263 from 7938644.\nAnswer: 7932381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 5 - 10. Let j(t) = t**3 + 15*t**2 + 2*t - 6. Let k(v) = -v**3 - 13*v**2 - v + 5. Let f(d) = -4*j(d) - 5*k(d). What is f(b)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 34\/45 bigger than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 24*q - 25*q = -2*u + 12, 5*q + 10 = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m + 160 = 3*m. Suppose p - 50 = -4*b, b + m = 5*b - 4*p. Let u = 7 + b. What are the prime factors of u?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (3\/(-4))\/(10\/(-1040)) + 5. Solve u = 74*t - 139 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = -6*w**3 - w**2 - 2*w - 1. Let s be b(-1). Let v(q) be the third derivative of -q**5\/60 + q**4\/4 + q**3\/3 - 4*q**2. Calculate v(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-15974)\/(-6) + 3 - 1)*3 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2*(7 - (-190)\/(-20))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify t**3\/(t*t**(-14)) assuming t is positive.\nAnswer: t**16","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 5*x**2 - 4*x**2 + 2*x**4 - 5*x**3 + 204*x + 2*x**3 - 203*x + 0*x**4 to l*x**3 + i + b*x**4 + v*x + o*x**2 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -93114 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1041 = -20*f - 321. Let y(a) = -34*a**2 - 54*a - 18. Let b(t) = -2*t**2 - 3*t - 1. Let o(j) = f*b(j) - 2*y(j). Let i(k) = k. Give i(o(z)).\nAnswer: -4*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Factor h**4\/5 - 42*h**3\/5 + 81*h**2\/5 - 8*h.\nAnswer: h*(h - 40)*(h - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8507 + 63776*l**3 - 8507.\nAnswer: 63776*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = -10*r. Let v(l) = 87336 - 87336 - 3*l. Calculate c(v(f)).\nAnswer: 30*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5 + 21 + -6 + -6.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000149168504 to 6 dps.\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = -w**2 - 4*w. Let y be b(-3). Let o be 6*(-1 - y)\/(-4). Let a(u) = -5 + 8*u + 3*u**2 - 10*u**2 + o*u**2. Calculate a(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -171 + 1199\/7. Let x = -9.23 - 51.07. Let u = x + 60. What is the second biggest value in u, 0.1, q, -0.4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4 + -2 - 1 - ((7 - 1) + -2)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -118*l + 44*l - 25*l**3 + 35*l + 39*l.\nAnswer: -25*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Express (2*p**2 + 4*p - 4*p)*(-25*p - 14*p + 13*p) + (-14 + 58*p**2 + 32 - 18)*(6*p - 3*p + 0*p) as t*p**3 + o*p + u*p**2 + q and give t.\nAnswer: 122","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 76638 a multiple of 159?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 8384569.\nAnswer: 167, 50207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 38*c + 12*c - 150 = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 102770?\nAnswer: 2, 5, 43, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Product of 594026 and 4.\nAnswer: 2376104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = -11*i. Let y(f) = 4*f - 26. Suppose 54 = 6*l + 12. Let w be y(l). Let z(o) = 1 - 1 + o**2 - 5*o**w. Calculate z(a(m)).\nAnswer: -484*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 4 + -4 + 9\/3. Let q be 2\/(-3) + (-17)\/(-3). Suppose 8*x - d*x + 4*v = 63, x - 21 = -q*v. Is x a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -568 divided by -45.\nAnswer: 568\/45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 0 - 2\/(8\/(-10)). Let d = -711 + 708. Which is the nearest to l?  (a) d  (b) -2  (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-38)\/361)\/(224\/56)?\nAnswer: -1\/38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = v - 32. Let a be f(29). Let p be (-7 - -4)*(1 + a - 1). Suppose -p*n + 1505 = 128. List the prime factors of n.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -167 - 60*y + 187*y + 0*y**4 + 535 + y**4 wrt y?\nAnswer: 4*y**3 + 127","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p - 1 = -3*s - 4, -4*p = 2*s - 18. What is the hundreds digit of (-2602)\/(-7) + s*12\/126?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is seventeen halves of a meter in millimeters?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*h**2 - 2 + 2)*(2*h**3 - 2*h**3 - 2*h**3) - 2*h**5 + 2*h**5 + h**5 + h**5 - 6*h**5 + 0*h**5 + 174*h**5 + 262 - 262.\nAnswer: 166*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*d = -1189 - 196. Let i = d - -536. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 48928?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 65*u - 136*u + 148*u - 154. Sort -2, 5, -3, u, 3.\nAnswer: -3, -2, u, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 20449 + -20453. What is the nearest to 4\/7 in f, 0.463, 3\/2?\nAnswer: 0.463","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z\/(z*z**(-11)*z*z)*z**(-12))**(-10) assuming z is positive.\nAnswer: z**30","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((1 + sqrt(2736))*-1*-6)**2.\nAnswer: 864*sqrt(19) + 98532","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7626?\nAnswer: 2, 3, 31, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1736\/1240 + (4 - 17\/5).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*l + l = -40. Let d be 22*(l\/(-2) + (-10 - -13)). What is the highest common factor of d and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-24 - (-113 + 93)) + -11 + 1 - (-3 - 57).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + (sqrt(198)\/(sqrt(22)\/sqrt(2)) - 3*sqrt(18)*-1)\/(-2*(2*sqrt(30))\/sqrt(5)).\nAnswer: -sqrt(3) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) be the first derivative of b**5\/35 - 9*b**4\/28 + 25*b**3\/21 - 27*b**2\/14 + 10*b\/7 + 385. Factor v(c).\nAnswer: (c - 5)*(c - 2)*(c - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 67?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is (-93 - (-3 - -3)) + 10 + (5 - 12)?\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 33 and 294.\nAnswer: 3234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1000 + -1100111101010?\nAnswer: -1100111100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((-16)\/(-12))\/(1\/3). Let y = 27 + -28. Sort y, r, -3 in ascending order.\nAnswer: -3, y, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = -2*t - 9. Let o(j) = -10*j - 44. Let m(n) = -14*h(n) + 3*o(n). What is the first derivative of m(w) wrt w?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 99871 is divided by 33139?\nAnswer: 454","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (6 + -3)\/(6\/8). Suppose t = -m*t. Suppose -5*c - d + 160 = 0, 3*d + t*d - 128 = -4*c. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00345393 to 5 decimal places.\nAnswer: 0.00345","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1 or 1\/33708634?\nAnswer: 1\/33708634","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 126.304 - 126. Let v = s - -0.696. Sort 434, 0.3, -4, v in descending order.\nAnswer: 434, v, 0.3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -129\/69160 and -25\/24?\nAnswer: 207480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify s**(2\/21)*(s*s**(-4)*s)\/s*(s**0)**(-42) assuming s is positive.\nAnswer: s**(-61\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is a05 + -4?\nAnswer: a01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 13*(5058\/(-47208) + (-1250)\/(-8008))?\nAnswer: 7\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 724 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b + 0*b - 3 = 3*h, 0 = 3*b - 5*h - 9. Suppose 7 + 5 = t. Let v = 17 - t. Calculate the remainder when v is divided by b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence fdf when three letters picked without replacement from {d: 2, s: 3, f: 4, k: 1}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*x + 13 = 4*n - 5, 0 = 3*n + 5*x + 1 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 2442 and 592?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is (-9 - -9 - 11) + -8?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-j**2 + 0*j**2 + 2*j**2)*(0*j + 0*j - j) - 26*j**2 + 26*j**2 - 3 - 2*j**3 to s*j**2 + a*j**3 + f + h*j and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) be the second derivative of 25*i**7\/21 - 25*i**3\/6 + 9*i - 3. What is the second derivative of n(o) wrt o?\nAnswer: 1000*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 - (-2 + 5) - (97 + -97)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 smaller than 860\/651?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -36, -0.09, -961?\nAnswer: -961","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in nineteen quarters of a millennium?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 121056049 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -1\/3  (b) -4  (c) -11  (d) 3  (e) 7\/52\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 1  (b) -87  (c) 2\/7  (d) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*w - 7*w = -43. Let t = -20 + w. Solve -j - 4*d - t = 0, -5*d = -j - d + 17 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = 6*y**2. Let z(c) be the second derivative of 0 + 0*c**2 + 0*c**3 + 18*c - 2\/3*c**4. Give z(d(f)).\nAnswer: -288*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = 2*y**2 + 4*y + 2. Let z be i(-2). Suppose -z*n + 3*n - 58 = 0. Let p = -31 + n. What are the prime factors of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 21801 is divided by 290.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of h**3*o**3*t - 5*h**2*o**3 + 2*h**2*o*t - 2*h*t - 65*o**3 + 4*t + 2 wrt h?\nAnswer: 6*h*o**3*t - 10*o**3 + 4*o*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -4 + 7. Let t = -3 - -6. Let g = -3 + t. Solve g = -j*f + 3 - 12 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 68 divided by -106?\nAnswer: -34\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 352 and 28534.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Does 152 divide 200944?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*b - 11*b - 4 = 0. Suppose -29 = z - 4*z - 5*x, 5*z - 2*x = 7. Suppose 85 = -0*m - 5*m - 5*w, z*m = 3*w - 33. Sort 5, m, b in ascending order.\nAnswer: m, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify a*a\/a**3*a*a**(-3)*(a**7*a)\/a**(-2\/3) assuming a is positive.\nAnswer: a**(17\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 198115?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 22.407 - -0.093. Let p = -23 + s. Let l = -0.069 + 0.099. Which is the third biggest value?  (a) p  (b) -0.1  (c) l  (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c - 2*j - 6 = -0*c, 4*c - 2*j = 18. Let a be 15*c*4\/(-8). Let f be (-6)\/(-10) - (-6630018)\/a. Round f to the nearest 10000.\nAnswer: -220000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*(sqrt(1700)*3 + sqrt(17)) + 4 + -1.\nAnswer: -31*sqrt(17) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 6 - 7. Let g be ((-8)\/6)\/z - 2. Is g greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -44984, -89968, -134952, -179936, -224920?\n\"Answer: -44984*w","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 44492547511 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = -3*c. Let k(q) = -q + 10. Let y be k(0). Let p(j) = -7*j - 4 + 4 + y*j. Determine b(p(n)).\nAnswer: -9*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -351424*h + 351433*h - 117 = 0 for h.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 6\/(-24) + (-10)\/(-16)*34. What is the highest common factor of k and 28?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3*3*(-5)\/30.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = 2019*h. Let d(z) = -840*z**2 - 2*z. Give d(f(r)).\nAnswer: -3424143240*r**2 - 4038*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -12 - -12220?\nAnswer: 12201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 7635 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) 0  (b) 2\/11  (c) -1\/5  (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 593308 is divided by 21974.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -315, -294, -259, -210?\n\"Answer: 7*n**2 - 322","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth smallest value in 0.6, 3, -1\/38, -0.14, 2, 0.2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 0.3, -3, 25, -21?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -3573, -7147, -10721?\nAnswer: -14295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -3431356, -6862704, -10294050, -13725394, -17156736?\nAnswer: -20588076","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l + 0*y + 2*y + 19 = 0, 4 = -2*l - 2*y. Let n(t) = t + 15. Let h be n(-9). Let c = h - l. Solve u = -d - 2*d + 5, -c*d + 4*u = -10 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 53 a factor of 13388701?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 39.6981 - -0.5319. Let g = 2.17 + l. Let f = g - 42. Sort 1\/4, 0.2, f in increasing order.\nAnswer: 0.2, 1\/4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**2\/i)**16 assuming i is positive.\nAnswer: i**16","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s + 0*r - 2*r = -4, r = -4*s + 8. Suppose 2*x = -s*y + 459, -3*x + 5 = -4. Is 4 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*u + 11*u = 51 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 400234 (base 8) in base 12?\nAnswer: 63b38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = -2*z**2 - 6*z + 1. Let h = 8 - 11. Let i be n(h). Solve -4*m - i = 7 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -18 divided by -6767.\nAnswer: 18\/6767","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 9778556?\nAnswer: 2, 2444639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5514680 is divided by 207?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.420475 times 483?\nAnswer: -203.089425","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -21210 + 11?\nAnswer: -21133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) be the first derivative of 1\/3*m**3 + 21 + 1\/24*m**4 + 0*m + 3\/4*m**2. What is n in x(n) = 0?\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-seven fifths of a litre in millilitres?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -29ab6 (base 15) in base 5?\nAnswer: -13242141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j - n = 10, -40 + 0 = -5*j + 5*n. Factor 0 - 6*r**3 + r + 7\/2*r**4 + 3\/2*r**j.\nAnswer: r*(r - 1)**2*(7*r + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -28277 + 28332. Which is the closest to -1?  (a) -4\/7  (b) -1  (c) 3  (d) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 486 divided by -81\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) be the third derivative of -u**6\/30 + 2*u**5\/3 + 11*u**4\/6 - 204*u**2. Factor w(m).\nAnswer: -4*m*(m - 11)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 2 - 56151?\nAnswer: -56149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Does 78 divide 6084?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 3 + -78b26?\nAnswer: -78b23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -52*c + 38*c**5 + 40 - 28*c**5 + 29*c**5 + 10*c**4 + 23*c + 56*c**5 wrt c?\nAnswer: 1900*c**3 + 120*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-32)\/10)\/(22\/(-495)). Suppose p = 2*m + 58. Let g be (-7)\/(m\/2) - -8. What is the closest to -1 in -2, -0.1, g?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -11 + -10010?\nAnswer: -10021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 261 + -226. What is the remainder when h is divided by 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -377*k + 735*k - 4*k**2 - 397*k as m*k + w + d*k**2 and give m.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 142 divided by 437?\nAnswer: 142\/437","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 p when four letters picked without replacement from {p: 4, v: 3}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 909.\nAnswer: 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from tttcttccttttttt?\nAnswer: 22\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1203, -4, 10.\nAnswer: -4, 10, 1203","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 140792286 to the nearest integer?\nAnswer: 520","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort -19220, 5, -7, -1, 1.\nAnswer: -19220, -7, -1, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 37 + (-78 + 80 - -21).\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put -2\/5, -1, 18, -4\/7 in ascending order.\nAnswer: -1, -4\/7, -2\/5, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from zzzzzzzzz. What is prob of picking 3 z?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 5119 - 3338. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s - 8234 = -5*v, s + 4*v - 3*v = 4123. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) be the second derivative of a**6\/165 - a**5\/55 - a**4\/66 + 2*a**3\/33 + 18*a. Solve g(z) = 0 for z.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together 5.093 and -47181349.\nAnswer: -47181343.907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = -a**3 + 3*a**2 - 2*a + 3. Let f be o(2). Suppose f*c - 184 = -2*r, -4*r = -5*r - 1. Is 16 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 2\/4*-5*(-12)\/(-205). Let s = m - 11\/205. Let q = -0.5 - -1. What is the biggest value in -6, s, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 663 and -2 + 3*12\/(13 + -7)?\nAnswer: 2652","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3 - 485*d**2 - 8 - 6 + 11 - 326*d**2.\nAnswer: -811*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, 17, 203, 2, -7 in decreasing order.\nAnswer: 203, 17, 3, 2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 4871 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = -l**3 + 15*l**2 - 12*l + 6. Let z be c(14). Suppose -3*s + 2*i = s - z, 5*s - 41 = 2*i. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -1\/8, -0.4, -0.3, 13638\/17, 5, 0.4, -5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) be the first derivative of -9*w**2\/2 + 91*w - 98. Let f be o(10). Let j be (0 - 1)*1*-5. Put j, 3, f in descending order.\nAnswer: j, 3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = -o. Let u(a) = 3*a**2 + 8*a - 1. Let t(d) = d**2 + 3*d. Let r(s) = -8*t(s) + 3*u(s). Let x(y) be the first derivative of r(y). Give x(c(n)).\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of -5*(-3)\/(-90)*-16*114\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 10515 to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = 2*d + 1. Let a be s(3). Let l(o) = 17*o**3 - 3*o**2 + 17*o - 13. What is the remainder when l(1) is divided by (a\/(-3))\/1*-3?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:36 PM and 12:29 AM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = u - 10*g - 1388 + 1353, 2*u - 2*u = -2*g - 6 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -84.8 - -86. Is -0.1 smaller than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 134 - (2\/11 + (-3)\/(-44)). Let y = x - 133. Factor y*u - 3\/4*u**3 - 3\/4 + 3\/4*u**2.\nAnswer: -3*(u - 1)**2*(u + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 689238 and 31329.\nAnswer: 689238","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -3*d**2*z**3 + 2*d**2 - d + 62*z**2 - 35*z wrt z?\nAnswer: -18*d**2*z + 124","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -42*o - 2833 = -1081 + 1524. Let x(q) = -16*q + 1. Let p be x(5). Is p equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -32 + 45 - 2 + 7*a - 2*a - 2*a.\nAnswer: 3*a + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -9, -147, -385, -729, -1185?\nAnswer: -1759","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 312 a factor of 1789632?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 7425*p**6 + 3850*p**3 + 32554211*p**2 - 2*p wrt p.\nAnswer: 891000*p**3 + 23100","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -23 = 4*u - 3. Let h(k) = -11*k**2 - 183*k + 67. Let s be h(-17). Sort -3, u, -11, s.\nAnswer: -11, u, -3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-4)\/5 + (-456)\/(-20). Calculate the greatest common factor of v and 242.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-4)\/10 - -1)*2 - 2828\/2020?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = -7*u**2. Let i(p) = 169*p - 5832. Determine i(m(t)).\nAnswer: -1183*t**2 - 5832","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = -103*f - 175. Give w(-5).\nAnswer: 340","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (11*r - 20*r - 13*r)*(-2 + 3 - 2).\nAnswer: 22*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 23\/6 of a year in months?\nAnswer: 46","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {u: 2, j: 3, p: 1, i: 1, l: 1, g: 4}. Give prob of sequence il.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((0 - -3) + -3)\/(-4). Suppose k = 4*b - p - 20, -3*p - 3 - 13 = -b. Suppose -2*c = -b*c - 10. What is the smallest value in c, -2\/5, -4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.1 and -8.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j - 54 = -z, 5*z + j = z + 161. What is the remainder when z is divided by (-20)\/(-3)*-18*3\/(-30)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((1 - 1 + 2*z)*(-3 + 4 - 2) + z - 4*z - 3*z + 2*z + 3*z - 4*z)*(-2 + 0 + 1).\nAnswer: 7*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 39 and 342?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Does 216 divide 124632?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-2)\/3)\/((-21)\/(-126)) - -6. Solve -5*l + 9 = -g*b, -1 = -5*l + 4*b + 12 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1973*g**2 - 2991*g + 1973*g**2 + 2991*g - 4*g**3.\nAnswer: -4*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -o - 3*q + 15, o + 2*q + 4 = 16. Let t be 17\/5 - o\/15. Sort t, -3, -5 in ascending order.\nAnswer: -5, -3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 338\/16 + (-5)\/40. Suppose 16 = 4*i, -4*c - 4*i + 11 + m = 0. Solve -7*f = -c*f + 6 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = -27*c**3 + 3*c**2 - 3*c + 67. Let y(v) = 23*v**3 - 4*v**2 + 4*v - 66. Determine 4*x(o) + 3*y(o).\nAnswer: -39*o**3 + 70","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 84217 and 1325?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = 9*c + 1. Let g be u(1). Let o = g - 46. What is o rounded to the nearest 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence wty when three letters picked without replacement from yymmyymmymwttmr?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*l - 0*l - 4. Let h = -1192 - -1197. Suppose 0 = -h*c - 3*g + 420, -l*c - g = -3*c + 76. What are the prime factors of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 510, 962, -5.\nAnswer: -5, 510, 962","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 4*n + n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0 + 0. Let z = -1.38 + 4.12. Let d = -0.26 - z. Put r, d, 1 in increasing order.\nAnswer: d, r, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 297229700 rounded to the nearest 1000000?\nAnswer: 297000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0005107614549 rounded to six decimal places?\nAnswer: -0.000511","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -7 - (-9 - (-17 - -14)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 282415498*u**5 - 1887765*u**2 - 2?\nAnswer: 16944929880*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 42 + -33. Let s(n) = -2*n**2 - 9*n. Let q(b) = b**2 + 4*b. Calculate j*q(f) + 4*s(f).\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -399*n**4 + 271 with respect to n.\nAnswer: -1596*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -830021 less than 25610?\nAnswer: 855631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1600, -2366, -3132, -3898, -4664?\nAnswer: -5430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 1460567 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xxmm when four letters picked without replacement from nnnnmngggx.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find p such that p**4\/7 + 6*p**3\/7 - 17*p**2\/7 - 6*p\/7 + 16\/7 = 0.\nAnswer: -8, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.10199746 rounded to two decimal places?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 80\/111 + -2\/37. Let y(t) = t**3 - t**2 - 3*t - 4. Let x be y(3). Which is the nearest to 0.1?  (a) 2\/9  (b) r  (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**(-2\/9)\/t)\/(t*t**(-6))*(t**(-2))**42 assuming t is positive.\nAnswer: t**(-722\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -d = 4*u + 49, -615*u + 620*u - 2552 = 6*d - 2200 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 - (13 + (-2 - 3)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -98 - -95.96. Let t = -0.04 - m. Let h = t + -2.06. What is the second smallest value in h, 0.3, 0.4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 867, 854, 833, 798, 743, 662, 549?\n\"Answer: -j**3 + 2*j**2 - 12*j + 878","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Determine b, given that 8*b**2 + 6795*b + 29575 = 0.\nAnswer: -845, -35\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = k - 4*t, 9*t = -k + 6*t + 9. Suppose 3*b + 12 - k = 0. What is the second biggest value in b, -0.5, 2, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3021 (base 11) in base 14?\nAnswer: -166c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1711*k**3\/5 - 81444*k**2 - 808068*k\/5 - 944\/5 = 0. What is k?\nAnswer: -236, -2, -2\/1711","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence tq when two letters picked without replacement from {q: 2, t: 7}?\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -389 + 391. Let a(j) = -u + 790*j - 388*j - 401*j. Give a(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = n - 3. Let v(d) = -6*d - 2. Let c be v(-2). Let m = 1 - -4. Suppose 2*x - 16 = -x - u, x - c = -m*u. Determine a(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = a**2 + a + 1. Let s = -10 - -7. Let y = s - -5. Suppose 1 = f + y. Let k(z) = 5*z**2 + 4*z + 5. Calculate f*k(t) + 6*q(t).\nAnswer: t**2 + 2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*((-2 + -6*1*sqrt(2) + -3)*2)**2*-1.\nAnswer: 960*sqrt(2) + 1552","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) be the first derivative of 212*a**7\/7 + 2*a**3 - 3*a + 108. Find the third derivative of u(s) wrt s.\nAnswer: 25440*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -22827\/19 or -1200?\nAnswer: -22827\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = p**2 - 5*p + 5. Let c be q(5). Suppose -4*a - 1 = -c*a. Let m = -0.3 + 0.8. What is the closest to -1 in m, 5, a?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 40850477 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -64*g - 21*g - 16*g = 63*g - 5248 for g.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 35\/(420\/96) + 192113 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 262 is divided by 63?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 152 and 38.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0 + 144*o + 205*o + 203*o + 231*o - 2.\nAnswer: 783*o - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1000 divided by 250.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: (-15 - -2)*((-118)\/(-472))\/(2\/16)\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = z**2. Let n(k) = 51*k**2 + 3*k. Give n(i(m)).\nAnswer: 51*m**4 + 3*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -46369\/5 - -9274. Solve -c*r**3 - 12\/5*r - 8\/5 - 6\/5*r**2 = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 2\/4 - (-18)\/(-4). Let u = l + 6. Suppose 4 - 7 = -3*n. Calculate the highest common divisor of u and n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 81 + -82.3. Let y = -1.3025 - l. What is y rounded to three dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-2)\/8 - (-1 + (-473)\/4). Let x = -117 + o. Suppose -y + 144 + 14 = -x*n, 4*n + 168 = y. List the prime factors of y.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t + 12 = 146. Suppose -5*s + t = 7. Differentiate 17 + s*w + 11 - 40 wrt w.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 2.0839 - 2.425. What is i rounded to two decimal places?\nAnswer: -0.34","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = -i**3 - 45*i**2 + 2359*i + 105138. Let h be k(-43). Let r(t) be the third derivative of t**5\/20 - 7*t**4\/24 + t**3\/3 - t**2. Determine r(h).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + (2 + sqrt(288) - sqrt(288)) + (sqrt(4)\/(-6*(sqrt(98) - sqrt(2) - sqrt(2)) + sqrt(2) - sqrt(2)))**2.\nAnswer: 2251\/450","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*v - 3013*v**4 + v**3 + 3019*v**4 - 21*v**3 + ((-2 - 2 + 2)*(4 + 2*v - 4) + 2 + 2*v - 2 + 3*v - 4*v + 2*v)*(3*v**3 + 2*v**3 - 6*v**3).\nAnswer: 7*v**4 - 20*v**3 - 2*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1 - -9. Let d = -8.98 - 0.02. Let n = i + d. What is the nearest to n in 0.5, -3\/5, 4\/9?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 12164 + -12156. What is the third biggest value in -3, 0.4, b, 3, 0?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 27249?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7964 = -689*x + 700*x. Is x a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.149 and 0.3?\nAnswer: 0.0447","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3\/4, -166\/3, 7, 5, -0.2, -8 in decreasing order.\nAnswer: 7, 5, -0.2, -3\/4, -8, -166\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find x such that x**3 - 10311*x**2 + 26584335*x - 26574025 = 0.\nAnswer: 1, 5155","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.24 - -0.44. Which is the fourth smallest value?  (a) -0.1  (b) -0.2  (c) -5  (d) z\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 13 + -8. Suppose -x*g - 2*l = 62, 2*l - 7*l = -4*g - 43. Let c = 1 - g. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) be the first derivative of j**7\/210 - 2*j**6\/45 - 53*j**3\/3 + 120. Let c(r) be the third derivative of l(r). Let c(v) = 0. What is v?\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve x + 14*m = 13*m + 3, -4*x + 21 = -5*m for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1 - 0. Let b(c) = c**2 - u + 0 + 2. Let r(l) = -2*l**2 - 24*l. Let s be r(-12). Give b(s).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*i**5 + 4*i**5 - 2*i**5 - i**5 - 2*i**5 + i**5 + (-i + 5*i - 2*i)*(5*i**4 + 0*i**4 - 3*i**4) + 373*i**5 + 2674*i**3 - 2674*i**3.\nAnswer: 374*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 84 and 392.\nAnswer: 1176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 4 + -12. Let q be (-14)\/(-28) + 75\/(-6). Let n = u - q. Solve 2*c + n = c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) be the first derivative of 2\/21*u**3 + 0*u**2 + 0*u - 6. What is c in r(c) = 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) be the second derivative of h**5\/60 + 9*h**2\/2 - 34*h. Let t(s) be the first derivative of x(s). Let o(j) = 9*j - 5. Determine t(o(d)).\nAnswer: 81*d**2 - 90*d + 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g - 3*q = -25, 114*g + 5 = 113*g + 2*q. Solve g*l + 4*i = 0, 42*l - 40*l = 4*i for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 21 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 7 + -27. Let k be (-54)\/12 + 5 - 429\/(-26). Let z = k + g. Sort -1, z, 3 in decreasing order.\nAnswer: 3, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -14411*u**3 - 33689.\nAnswer: -43233*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 53.906954 + 11.093336. Let i = g - 65. Round i to 4 decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 0 + 0 + 2 + 1. Suppose -5*a + 3 = p*n, a = -0*a + 5*n + 23. What is the units digit of 13 - ((-6)\/1 + a)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*l = -0*l + 50. Suppose 5*n - 15 + 44 = 3*f, -38 = -f - 4*n. Suppose 14*g - f*g = -40. What is the highest common divisor of g and l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t**(1\/10)\/(t*t**0*t*t))\/(t**(-1)\/t**(3\/7)))**(-24) assuming t is positive.\nAnswer: t**(1236\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 8.49 times 1901?\nAnswer: 16139.49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is (4\/(-3))\/(93*138\/(-442773))?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:06 PM and 7:33 AM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*s - 4*s - 2*s)*(-3 + 4 - 2) + 0*s - 4*s + 3*s + 4*s - 2*s + 0*s + (-2*s - 2*s + 6*s)*(3 + 1 - 2).\nAnswer: 9*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -74262474 divided by -26\nAnswer: 2856249","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 19505808 to the nearest integer?\nAnswer: 269","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) be the second derivative of -z**3\/6 - z**2 - z. Let c(u) = 3*u + 23. Let b = -97 + 91. Let i be c(b). Determine j(i).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = 5*h**3 - h**2 - 3*h - 5. Let j(f) = 0*f**3 + 2 - 1 + 3*f - f**3 - 2*f. Determine -b(v) - 3*j(v).\nAnswer: -2*v**3 + v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-4)\/(-15)*-4*5\/((-80)\/(-6)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -4919*q**4 - 27*q**2 - 1 wrt q?\nAnswer: -118056*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -4\/3  (b) -4  (c) -2\/37  (d) 4  (e) 11\/18\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in 806401.53s?\nAnswer: 224.000425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = -11*v**3 + 10*v**2 + 18*v + 4. Let l(d) = 2*d**3 - d + 1. Let t(u) = -5*l(u) - n(u). Calculate t(11).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence lmu when three letters picked without replacement from uumlllllllllll.\nAnswer: 11\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2436458774?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -22*l - 10*l + 160 = 0. Solve 0 = 4*j + 2*k, -2 = -3*j - l*k - 9 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -15 - 4*m + 5 - 2*m**2 + m**3 - 3*m**3 + 8 in the form b*m**3 + g*m + i + s*m**2 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {d: 9, m: 7}. What is prob of picking 3 m?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 22961.\nAnswer: 22961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*s**3\/13 - 102*s**2\/13 + 1734*s\/13 - 9826\/13.\nAnswer: 2*(s - 17)**3\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q + 4*p + 799 = 0, p = -3*q - 8 + 802. Which is greater: q or 263?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -8 + 8 + -14 + 2 + -4 + 36 + 5.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -45 in 2\/3, -0.1, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Divide 28840 by -20.\nAnswer: -1442","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -8111*f + 6568*f - 32099*f to h + v*f and give v.\nAnswer: -33642","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2*d**3 + 80044*d**4 - 79457*d**4 - 2*d**3 - 8 - 7*d**2 wrt d?\nAnswer: 14088*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i\/(i\/(i*i**(-3))))**(4\/9)\/((i*i*i**(-3)*i)\/i*i*(i\/i**(-3\/4)*i)\/i))**(-35) assuming i is positive.\nAnswer: i**(3325\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 61539303 to the nearest integer?\nAnswer: 395","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = -4*u**2 + 7*u - 12. Let t be h(6). Let r = -109 - t. Solve v + 3*v = r*y - 24, 0 = -4*v + 2*y - 12 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 less than -3\/3835?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from nbnknnbkk. Give prob of picking 1 n and 1 k.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = -2*t**2 + 23*t - 81. Let s be r(5). Which is smaller: s or -56?\nAnswer: -56","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -5.848 rounded to zero dps?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000692553 to 6 dps.\nAnswer: 0.000693","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v + 0*v + 5*o = -41, 3*v - o = 17. Which is the third smallest value?  (a) 1\/3  (b) -1\/5  (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.1, -3, 325, 2, 1283.\nAnswer: -3, -0.1, 2, 325, 1283","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 594 is divided by (2865\/(6\/(-2)))\/(-80 + 75)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = h. Let r(a) = 7893*a. What is r(o(j))?\nAnswer: 7893*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -10.8 - -11. What is the third smallest value in q, 2\/11, -2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*u - 9*u + 4*u + 3*u - 6*u.\nAnswer: -4*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*r - 5*r = 663. Calculate the highest common factor of 13 and r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 72 and 204?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c = 2*m + c + 28, 3*m + 36 = -3*c. Let k(n) = -1. Let o be (-1)\/2*(-32)\/4. Suppose 9*r = o*r - 5. Let i(q) = -2*q + 8. Calculate m*k(a) + r*i(a).\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 546 and 1911.\nAnswer: 3822","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 c and 2 b when three letters picked without replacement from cbbccc.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2554 divided by 12134.\nAnswer: 1277\/6067","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*v + 5*m + 280, 5*v - 384 = m - 92. Suppose 33 - v = -13*r. What is the least common multiple of 5 and r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*y + 135 = 2*k + 14, 0 = -y - 5*k + 38. Suppose -151 = 5*z - 56. Let j = z - -31. Calculate the remainder when y is divided by j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -78*t = -27*t - 30*t - 42. Let x(c) be the first derivative of -1 + 0*c - 5\/3*c**3 + 0*c**t. Let j(i) = 4*i. Determine x(j(b)).\nAnswer: -80*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = -9785*h**2 + 9787*h**2 - 6 + 4 + h. Determine n(3).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*x = -v + 11, -3*x - 25*v = -26*v - 14 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = -17*h + 5. Let w(n) = 7*n - 2. Let g(m) = -6*c(m) - 15*w(m). Let a(y) = -241*y**2. Calculate a(g(s)).\nAnswer: -2169*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 j, 2 q, and 1 b when four letters picked without replacement from qtbbqqjbqqqtqjqjq?\nAnswer: 81\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Does 7 divide 63187775?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -0.06 * -23.3\nAnswer: 1.398","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1355191 = -6*y + 162809. Round y to the nearest ten thousand.\nAnswer: 250000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -0.2892 - 428.6108. Let w = -427 - g. Let l = 1 + -1. Are l and w equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 15 - -53245?\nAnswer: 53304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort -54, 3, -5, 4, -3, -68 in increasing order.\nAnswer: -68, -54, -5, -3, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*z - 4*o + 1760 = 4*z, -3*o - 885 = z. Is (2\/(-6))\/(6\/z) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 0.646818 weeks?\nAnswer: 6519.92544","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*x + 3*x - 7*x)*(-x + 4*x - 6*x) - x**2 + 4*x**2 + 0*x**2 + 0*x**2 + 3*x**2 - 2*x**2 + (-5*x + 3*x + 0*x)*(3 - 3 + x).\nAnswer: 23*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/3?  (a) 0.3  (b) -2\/13  (c) 1314\/229  (d) -1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3523\/91 - (50 + -11).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -3202300310200 - -11?\nAnswer: -3202300310123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = -12056643*q**2. Let x(h) = 2*h**2. Determine m(x(b)).\nAnswer: -48226572*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1411809, 2823224, 4234639, 5646054, 7057469?\nAnswer: 8468884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 583 + 1 + 2 - 3 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 18681 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -112*z - 35*z + 64*z.\nAnswer: -83*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) 5  (b) -227  (c) 7  (d) 1\/20  (e) 1\/10\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 2 + -23?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = 73*v**4 - 31*v**3 - 65*v - 21. Let l(a) = 24*a**4 - 11*a**3 - 22*a - 7. Let j(f) = 11*l(f) - 4*p(f). What is the second derivative of j(m) wrt m?\nAnswer: -336*m**2 + 18*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = 8503*w**2 + 34*w - 19. Let f(a) = -8504*a**2 - 29*a + 16. What is -7*f(s) - 6*n(s)?\nAnswer: 8510*s**2 - s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 465 is divided by 36?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 430 divided by -5.\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) be the second derivative of -103*k**6\/30 - 96*k**2 + 313*k. What is the first derivative of q(x) wrt x?\nAnswer: -412*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 75016336.\nAnswer: 2, 61, 101, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 100681349 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 130176.\nAnswer: 2, 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 8152 divided by -4331.\nAnswer: -8152\/4331","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = 77*d**2 - 6*d - 7. Let o be y(-2). Let c = 27 + o. What is the tens digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = -139*w - 68. Let x be g(-6). Suppose -y + o + 494 = 0, 3*y - 4*o - x = 716. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -1\/3  (b) 0.0196  (c) 864  (d) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 38575 to the nearest integer?\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 232 and 1160?\nAnswer: 1160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = 3*s - 29. Suppose 3*i - 9 = s. Let f be 2\/(-4) + (-3)\/6 - -3. Solve -3*y + i*y + 11 = f*x, -1 = -x - 3*y for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = l**2 + l - 1. Let a(q) = 7*q**2 + 4*q - 4. Let j(o) = 7*o**2 + 3*o - 4. Let t(c) = -4*a(c) + 3*j(c). Determine 6*i(u) + t(u).\nAnswer: -u**2 - u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 510.\nAnswer: 2, 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:46 AM and 7:53 PM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {s: 2, g: 3, b: 1, i: 1, k: 1, t: 4}. Give prob of picking 1 g and 1 s.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 9639.\nAnswer: 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((-1)\/6)\/((-99)\/(-36) + -3). Which is the second smallest value?  (a) t  (b) -50  (c) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q*q\/(q*q**(-22)*q)*q**(-23))\/(q**(2\/3))**(2\/3) assuming q is positive.\nAnswer: q**(-13\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 9990748*u + 15719391.\nAnswer: 9990748","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 14168053*s**3*w + 12631*s**3 - 2*s**2 + 2*s*w**2 - 9*s - 1 wrt w.\nAnswer: 14168053*s**3 + 4*s*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is one quarter of a kilometer in meters?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is (97 + -63 - (13 - -2)) + 19 + 71?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) be the third derivative of n**4\/24 - n**3\/2 + n**2. Let y = -3 - -5. Let i be k(y). Put i, 3, 5 in descending order.\nAnswer: 5, 3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 8*n**2 + 7*n**3 + 0 + 8*n**2 - 2 + 16*n**2 - 5*n**2 to the form m + h*n**2 + j*n**3 + w*n and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 2*t*w + 365*t - 5002*w - 8 with respect to w.\nAnswer: 2*t - 5002","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 62246706?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = -f**3 + 15*f**2 - 3*f + 36. Let y be j(15). Let r be (-27)\/(-6) + -3 + 15\/6. Let w(s) = 10*s - 11. Let k(g) = 5*g - 5. Determine r*w(d) + y*k(d).\nAnswer: -5*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = z + 14. Let w be l(-14). Solve 2*b - 10 = -w for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-1)\/(-12))\/((-10)\/30).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1921067 and 56143.\nAnswer: 2441","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ddeeededdd. Give prob of sequence eee.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 6578266.2 plus 102?\nAnswer: 6578368.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Round 2.123 to one decimal place.\nAnswer: 2.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -50 + 53. Solve u*s + 10 = s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (10\/(-4))\/(12 - 3460\/280)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 516970 is divided by 25.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -11 - (119\/(-7) + 6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -111001000101100 (base 2) to base 4.\nAnswer: -13020230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x - 6*x = -15. Suppose 554*t - 739*t = -740. Sort -4, x, t, 2\/3 in decreasing order.\nAnswer: x, t, 2\/3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.381216 and -0.96.\nAnswer: 0.36596736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -62*p = -64*p + 44. Suppose 0 = 5*c - 6*c + 55. What is the highest common divisor of c and p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 13588 to the power of 1\/3, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1 - -1 - 0 - -1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 119\/20 and -129\/4130.\nAnswer: 8260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -31\/3 + 26\/3. Let z = -1\/403 + -25379\/4030. Calculate the common denominator of l and z.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1440 + 0.0561?\nAnswer: 1440.0561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-50)\/18 - 4\/18. Let v be (-3)\/(((-27)\/(-66))\/g). What is the highest common factor of v and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -288205 * 0.31\nAnswer: -89343.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 0.5, -4\/13, -5\/2?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -135, -277, -419, -561, -703?\nAnswer: -845","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 4358679 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -30*z + 9*z + 567. Let j = z - 24. Let x(i) = -3*i + 2. Give x(j).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 41.1, -0.1, 4, -7\/60, 0.1 in increasing order.\nAnswer: -7\/60, -0.1, 0.1, 4, 41.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 37\/10 and 83\/716.\nAnswer: 3580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 13345496027 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = -79*s**2. Let f(r) = -6*r**2 - 232*r + 2. Give f(d(a)).\nAnswer: -37446*a**4 + 18328*a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 3 + 6. What is the units digit of (-708)\/s*18\/(-12)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*q**2 + q**2 - 6*q**2 + (2*q - 2*q - 2*q)*(-103*q + 17*q + 10*q) to l + c*q + i*q**2 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = -n**2 - 6*n - 8. Let z(u) = 77 - u**2 + 2*u - 38 - 3*u - 43 - 2*u. What is -2*k(o) + 5*z(o)?\nAnswer: -3*o**2 - 3*o - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + ((sqrt(204) - (sqrt(204) + (-6*sqrt(204) + sqrt(204) + sqrt(204))*1 + sqrt(204)))*-2)\/(2*sqrt(48) + sqrt(588) + 3*sqrt(588)))**2.\nAnswer: -3*sqrt(17)\/8 + 409\/256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 12b (base 13) in base 4?\nAnswer: 3032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 0.2 times -8112130\nAnswer: -1622426","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = o. Let j = -1 + 7. Let z = j + -10. Let v(i) = i - 2*i - 2*i. Calculate z*p(u) - v(u).\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 299 - 275. Calculate the remainder when 95 is divided by k.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 551 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 0.954877 kilometers?\nAnswer: 954877","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -1.2 and 0.04?\nAnswer: 1.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -160972*h + 414181 wrt h.\nAnswer: -160972","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 70 = -3*l - 296. What is the common denominator of -1 + 0 + l\/24 and (3\/(-54))\/(110\/31845) + 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -63\/115 and 38\/3.\nAnswer: 345","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -348.76736 rounded to the nearest 100?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((0*i - i + 2*i)*(1 - 2*i**2 - 1) - i**3 - i**3 + 5*i**3)*(-5*i**2 + 3*i**2 - i**2).\nAnswer: -3*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 62 + 28. Suppose 0 = -5*k + 5*b + 120, -b - q = -5*k + 50. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = -68*n - 109. Let p(b) = -2*b**2. Calculate t(p(j)).\nAnswer: 136*j**2 - 109","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 165*s + 22*s + 94*s to t*s + w and give t.\nAnswer: 281","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = 3*k**2 - 17*k + 35. Let u(v) = 10*v**2 - 52*v + 105. Let l(p) = -7*f(p) + 2*u(p). Give l(10).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = k - 2. Let r be h(9). Suppose -14 = 3*v - 4*m, r*m - 27 = -v + 2*m. Suppose b = -v*b + 102. What is the remainder when b is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o = -2*z + 2*o + 45, -o + 81 = 4*z. Suppose 5*m = 2*n - z, -4*n = -5*m - 16 - 51. Calculate the least common multiple of n and 5.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -917, -1847, -2787, -3737, -4697, -5667?\n\"Answer: -5*c**2 - 915*c + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) be the second derivative of -7*d**4\/12 + d**3\/3 - 5*d. Find the second derivative of l(b) wrt b.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = 5*i**3 + 1508*i**2 - 1000*i - 119595. What is y(-302)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 5 + 1 - (-1 + -2 + 7 + 9).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1068188 to the nearest integer?\nAnswer: 1034","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 457 minutes before 1:28 PM?\nAnswer: 5:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1791 + 3581\/2. Let p(h) = -h**2 - 5*h - 3. Let d be p(-2). Which is the closest to 3?  (a) g  (b) -2\/11  (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2 + ((0 + sqrt(475) - sqrt(475) - sqrt(475))*2 - (sqrt(475) + -3 - sqrt(475))*-2)*-3)**2.\nAnswer: 960*sqrt(19) + 17356","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1680375, -1680436, -1680491, -1680534, -1680559, -1680560, -1680531?\nAnswer: -1680466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.47 + -0.97. What is the closest to 1 in -5, u, -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (((-40)\/(-12))\/5)\/(((-1589952)\/(-504))\/169)?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/2 of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*b**5\/7 + 8*b**4\/7 - 8*b**3\/7 - 4*b**2\/7 + 10*b\/7 - 4\/7 = 0. Calculate b.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**(1\/6))**(-14)\/((t*t**(5\/2))\/(t*(t**(-2\/33)*t)\/t*t)) assuming t is positive.\nAnswer: t**(-257\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = 1. Let o(j) = 21*j - 5. Give -o(l) - 3*u(l).\nAnswer: -21*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00005121620248 to 5 decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -109 - -112. Solve -d = -i*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = 6*b + 3. Let y(l) be the third derivative of -l**4\/12 - l**3\/6 + 95*l**2. Let p(x) = 6*c(x) + 17*y(x). Give p(-5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 709184.\nAnswer: 2, 7, 1583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1320)\/(-704)*(432\/20)\/9*(-10)\/(-3).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 56\/30 - -5*(-6)\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y + 5 = -5*f, -31*y - 4*f + 5 = -30*y. Put -5, y, 0, -25 in decreasing order.\nAnswer: 0, y, -5, -25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 56702075*g**2*q + 281*g**2 - 69915 wrt q?\nAnswer: 56702075*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 14920.76 grams to nanograms.\nAnswer: 14920760000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 120 + -119.5. Let g = -9.72 + 9.22. What is the closest to d in -0.2, g, 5, -0.3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 2\/14 - 1\/(21\/(-123)). Let j be (6\/1)\/(-2 - -4). Find the third derivative of -3*q**3 + 3 - o*q**3 - j - 3*q**2 wrt q.\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify l\/(((l**(-2\/21)*l)\/l)\/l)*((l\/(l\/(l\/((l\/l**(3\/2)*l)\/l)*l)))\/l)\/l*(((l\/(l\/(l**2\/l)))\/l)\/l)**(14\/5) assuming l is positive.\nAnswer: l**(-43\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -4622, 38 in decreasing order.\nAnswer: 38, 3, -4622","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round 203600 to the nearest ten thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Does 18 divide 222512302?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = -12*a**2 - 2190. Let m(x) = 2*x**2. Calculate b(m(c)).\nAnswer: -48*c**4 - 2190","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 76*u + 107*u - 3477 = 0. Solve 5*w - 3*p + u = 0, -3*w - 3*p = 2*w + 31 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -66 by -3.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -40043 or -40051?\nAnswer: -40051","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*y**5\/11 + 652*y**4\/11 + 52482*y**3\/11 - 106928*y**2\/11 + 53792*y\/11.\nAnswer: 2*y*(y - 1)**2*(y + 164)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand -5*w**5 + 2*w**5 + 4*w**5 + (0 + 0 + 2*w**4)*(-2*w + 5*w - 2*w) - w**5 + 2*w**4 - 2*w**4 - w**5 - w**5 - 12*w**5 + (w**5 + 6*w**5 - 3*w**5)*(-1 - 1 + 1).\nAnswer: -16*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.7?  (a) 2\/15  (b) 7  (c) 59  (d) 10  (e) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 574467427?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = d**2 + 4*d - 3. Let v be a(-5). Suppose 0 = -v*j + 4*x + 2, 0*j - 3*j - 1 = -2*x. Is -1 + (j - -2) - -19 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 261 is divided by 45?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -172 - -236. Let p be -4*(-4)\/h - (-1)\/4. Factor 0 - b - p*b**2.\nAnswer: -b*(b + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 1097*w**6 - 14*w**4 + 2468*w**3 - 557769820*w**2?\nAnswer: 131640*w**3 - 336*w + 14808","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (441\/(-21) + (-2166)\/(-95))\/(2\/(-40))?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from chvvecuhuehp. What is prob of picking 1 c and 1 u?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u = -5*u - 84. Let r = 21 - 36. Let l be 1 + 5\/(r\/18). Put u, 2, l in descending order.\nAnswer: 2, l, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s + 0*s = 4, 0 = 3*k + 3*s - 252. Suppose -212 = -9*c + 436. Suppose -71*y + c*y - 34 = 0. What is the greatest common factor of k and y?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 11833\/45 - 1307\/5. Let x = 3 - 2. Is x < v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (6\/36 + 0)\/(4\/(-6)). What is the smallest value in -4, n, -5, -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ttw when three letters picked without replacement from tzzlzltwwttwtlzlt.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-one halves of a kilogram in grams?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 75 + -3*3\/(-9). Suppose 0 = -s - 2*s - 2*t + 67, 4*t = 4*s - q. Let w(x) = -2*x + 1. Let r be w(-3). Solve i = 4*f - s, -2 = -i - 2*f + r for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 4 + (4 + 6)\/1 + -2. Suppose i*y - 13 - 47 = 0. Solve -y*x - 2 = -12 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 101841 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 139 - 129. Let g be (12\/m)\/((-15)\/(-4200)*16). Solve -4*a - 2*f - g = a, -a = -4*f - 9 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*r - j = 3*r + 6, -2*r - 9 = -5*j. What is the units digit of -17*r\/(-6)*2?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = l**2 + l + 4. Give g(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = -2*f**2 - 123*f + 62. Let x be i(-62). Let h = 0.3 + 0.2. Which is the smallest value?  (a) 5  (b) x  (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ed when two letters picked without replacement from ewedxwzl?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 6296.4202 + -6297. Round a to 1 dp.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r = 12, 2*n + 0*r + r = 8. Suppose -105 - 102 = -9*v. Suppose -z = -n*z + v. Solve 5*d - 2*a - 7 = 0, -d - 8*a + z = -3*a for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (1 + 0)\/(((-15)\/2)\/(-5)). Let o = 1133\/4 - 276. Which is the closest to o?  (a) 4  (b) -3  (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/6, 4, -2, 3\/4, -39, 0, -3 in ascending order.\nAnswer: -39, -3, -2, 0, 1\/6, 3\/4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 404 - 560. What are the prime factors of (2912\/u)\/(2\/(-96))?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 50 - 88. Let m be (n + -1)*(-2 - 35\/(-15)). Let b(l) = l**3 + 15*l**2 + 12*l - 19. Is b(m) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((i**2\/i)**(-38))**0)**(13\/4) assuming i is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 943644 to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 29418196?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.12 minus -474765?\nAnswer: 474764.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -b**2\/11 + 414320*b\/11 + 3728961\/11 = 0.\nAnswer: -9, 414329","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*z + 3707125*z**3 - 7414368*z**3 + 4*z + 3707247*z**3.\nAnswer: 4*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z = -j + 5, 3*j + 5*z - 20 = -j. Let v be (7\/(28\/(-72)))\/(-11) - 1. Let f = v + 1\/33. Which is the closest to -1?  (a) 0.4  (b) f  (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 23 + (-13 - -1 - (1673 - 1676)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -840.89 - -846. Let u = a + -0.11. Let c = -0.41 + 0.11. Put u, 4, c in descending order.\nAnswer: u, 4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together 9160638 and -5361.736.\nAnswer: 9155276.264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = y. Let m(t) = 19*t**2 - 19*t + 19. Let z(g) = g - 1. Let c(l) = m(l) + 19*z(l). What is c(n(h))?\nAnswer: 19*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r*r*r\/(r\/r**(-6))*r)\/r**(1\/2))\/(r**(-3\/5)\/((r\/(r\/(r**(-4)\/r)))\/r)) assuming r is positive.\nAnswer: r**(-89\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -4709 or 7.4?\nAnswer: -4709","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 34753?\nAnswer: 23, 1511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is (-7420)\/(-910) - 2*4?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00287994 to 5 decimal places.\nAnswer: 0.00288","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 24\/(-4) - -7 - 1605\/(-3). Let g = t + -420. What is the remainder when g is divided by 20?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (((-320)\/(-30))\/1)\/(3\/450). What is the greatest common factor of l and 1280?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1 divided by 1028118\nAnswer: -1\/1028118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 13264827 and -15.612009?\nAnswer: 13264842.612009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 82, 150, 218, 280, 330, 362?\nAnswer: 370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -8  (b) -4  (c) 2  (d) 318\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = h**3 - 27*h**2 - 55*h - 87. Let p be z(29). Which is smaller: -3\/203 or p?\nAnswer: -3\/203","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 93*f**2 - 1 - 3384*f**3 + f**4 - 91*f**2 + 3271*f**3 in the form w*f**2 + a*f + o*f**3 + p + u*f**4 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = b**3 - 9*b**2 - 14*b + 124. Let d be f(9). Sort d, -4, 0, -100, 3 in decreasing order.\nAnswer: 3, 0, d, -4, -100","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*a + 39 = -t + 2*t, 272*t - a = 268*t + 30 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) be the second derivative of 19 - 3*v + 1\/102*v**4 + 0*v**2 + 1\/17*v**3. Factor l(n).\nAnswer: 2*n*(n + 3)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many weeks are there in 13.1784975 microseconds?\nAnswer: 0.00000000002178984375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zr when two letters picked without replacement from rrrrrnrzvarzsrr.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = -4*v + 93. What is the tens digit of l(0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {f: 2, z: 1, a: 3, n: 11, p: 1}. Give prob of sequence nz.\nAnswer: 11\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) be the first derivative of -q**4 + 6*q**2 + 8*q - 3. What is s in y(s) = 0?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -89*d - 88*d = -39825. Solve -53*h = 22*h + d for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:15 PM and 3:59 AM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert 370 (base 11) to base 7.\nAnswer: 1166","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 18 - 14. Is (0 - 4)*-1*r a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from meymmsmisimimimmm. What is prob of picking 1 i and 1 y?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -420*x**4 + 806*x**3 + 43867*x wrt x?\nAnswer: -5040*x**2 + 4836*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand 5 + 2*z - 5 - z**2 + (3 + 7 - 3)*(-z + z + 2*z**2).\nAnswer: 13*z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 488 - 491. Put -10, w, 3, 5 in ascending order.\nAnswer: -10, w, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 14950 is divided by 7227.\nAnswer: 496","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 123 + -981\/8. Which is the third smallest value?  (a) 0.1  (b) o  (c) -1  (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 47398, 84868, 122338, 159808?\nAnswer: 197278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (-9)\/(-3) - (-1557)\/18*54.\nAnswer: 2, 3, 19, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) be the second derivative of -p**3\/2 + 19*p**2 + 21*p. Let w be o(12). Calculate the remainder when 8*7\/w*(-11 + 13) is divided by 29.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*sqrt(209)*-5 - (sqrt(209) - ((4*sqrt(209) - sqrt(209)) + sqrt(209))*2 - sqrt(209) - sqrt(209)))\/(-3*-4*sqrt(1331)*2).\nAnswer: 7*sqrt(19)\/132","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:58 AM and 9:19 AM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 2061 + -3?\nAnswer: 2056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3975*v + 3 - 2 - 2 - 3954*v + 3.\nAnswer: 21*v + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 25212 (base 6) in base 10?\nAnswer: 3752","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -103518 - -1137178\/11. Let s = g + 138. Which is the nearest to s?  (a) -0.2  (b) 2  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 10683 is divided by 2435?\nAnswer: 943","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 l, 1 s, and 1 q when four letters picked without replacement from sqqvllvssslqqll?\nAnswer: 32\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = -5*p**3 + p**2 - 1. Let z = 7 + -4. Suppose -2*y + 2 + 0 = 3*c, -2*c = -z*y + 3. Give q(y).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 886489 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 30*p + 355 = -337 - 718 for p.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = -g - 3. Let v be ((-24)\/15)\/(4\/20). Let c be p(v). Suppose c*d - 7*d = -4. Sort -2, 3, d in descending order.\nAnswer: 3, d, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = 7*d - 40. Let l(h) = h**3 - 7*h**2 + 6. Let v be l(7). Let f be t(v). Which is the nearest to 2\/7?  (a) 0  (b) f  (c) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000000425275 rounded to 7 decimal places?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = -9*u - 7. Let z(p) = 4*p + 4. Let i(k) = 4*w(k) + 7*z(k). Let r(q) be the second derivative of -q**4\/12 - q. Give r(i(n)).\nAnswer: -64*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1169 - 2*g - 1689 - 1742.\nAnswer: -2*g - 2262","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2*2*6\/60.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (266\/1064)\/((-8)\/736).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = 30*v**2 + 269*v + 41. Calculate x(-12).\nAnswer: 1133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = -24*h - 2. Let n be a(-1). What is the highest common divisor of 110 and n?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -82*k + 163*k - 85*k.\nAnswer: -4*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*sqrt(14)\/sqrt(50).\nAnswer: 3*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*b**2 - 52104*b - 146444276.\nAnswer: -4*(b + 4103)*(b + 8923)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 91 - 91 + 5*c to the form b*c + z and give b.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is b9876 - 0?\nAnswer: b9876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 100 - 128160\/2250 - ((-202)\/(-50) - 4)\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is thirty-seven fifths of a litre in millilitres?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 549839023?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 214924 to the nearest integer?\nAnswer: 464","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 47900900011 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 11\/2 of a kilogram?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -5  (b) -2\/9  (c) 27  (d) 0.5  (e) 7  (f) -11\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -15.8854, -0.3, -1.\nAnswer: -15.8854, -1, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1275\/225 + 1\/((-6)\/4).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000003001387 to 7 dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 43370 >= 43388?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify w\/(w**5*w)*w*w**6\/w*(w**0)**25*((w*w\/(w**(-2)\/w*w))**(-7))**(-3\/29) assuming w is positive.\nAnswer: w**(113\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -16\/33 and -79\/54.\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert 343660.1um to centimeters.\nAnswer: 34.36601","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = y**2 + 4*y**2 + y**3 - 10 + 4*y + y**2 + 5*y**2. Calculate the remainder when z(-10) is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -131 + 189. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -130*y**4 + 2*y**3 + 37*y**2 + 2?\nAnswer: -3120*y + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 1733\/7 - 247. Which is the third smallest value?  (a) -1\/8  (b) 0.5  (c) g  (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + (-3*(sqrt(756) + -1*sqrt(756) + sqrt(756) + sqrt(756) - sqrt(756)))\/((sqrt(144)\/sqrt(4))\/sqrt(12) - 2*sqrt(192)).\nAnswer: -1 + 6*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*n = 3*f - 43, 2*f + n + 2397 = 2429 for f.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {t: 1, c: 1, r: 1}. What is prob of picking 1 t and 1 c?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = 19*i**2 + 29*i - 165. What is the remainder when y(6) is divided by 29?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 21944?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -3 - 8 - ((20 - 42) + 35).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express 88*m - 9819 + 9819 as r + h*m and give h.\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s*s**(-5)\/s)\/(s**(-2\/39)*s))\/(s*(s\/(s\/s**14)*s)\/s*s**(-7)*s) assuming s is positive.\nAnswer: s**(-583\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 40320 + -31?\nAnswer: 40234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = -28*c**3 - 62*c**2 - 6*c. Let h(g) = -10*g**3 - 21*g**2 - 2*g. Give -4*a(u) + 11*h(u).\nAnswer: 2*u**3 + 17*u**2 + 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 22 - 21.962. Let y = -246.338 - -244.3. Let o = i + y. What is the closest to 0 in -1, o, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -5 and -0.172539?\nAnswer: 0.862695","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 38 - 179. What is m rounded to the nearest ten?\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 2  (b) 86  (c) -0.02  (d) -36\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 0.4  (b) 0.1  (c) 2106  (d) 9  (e) -0.017\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*q + 3*q - q)*(-9*q + 9*q - q).\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 62, 279, 678, 1295, 2166?\n\"Answer: 6*n**3 + 55*n**2 + 10*n - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = 21*j + 2. Suppose 4*b - 12*k + 15*k = 77, 4*b + k - 87 = 0. What is the remainder when x(2) is divided by b?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 2\/(1 - 57\/59). Let d = 82 - j. Calculate the remainder when 88 is divided by d.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1786 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c - 44 = -4*g, -4*c + 64 = -g - 3*g. Calculate the smallest common multiple of c and 24.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*c**2 - c + c)*(-2 + 2 + c) - 351*c**3 - 47988*c + 47988*c.\nAnswer: -353*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 36 + -32. Suppose 4*d + 92 = -4*x + 4, p*x + 92 = -2*d. Does 10 divide 18\/x + (-203)\/(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 7 and 141.\nAnswer: 987","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 16\/(-40) - (-58)\/(-5). Does z = -14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*q + 0*q - 4 = 0. Find the common denominator of q*3 - (-87)\/18 and 115\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -3581 - -6937. What are the prime factors of h?\nAnswer: 2, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 3 - (-345 - (-10)\/5). Let k = -217 + f. What are the prime factors of k?\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 2*k*x**3 + 55*k*x + 354391*k + 33*x**2 - 2*x + 7 with respect to x.\nAnswer: 6*k*x**2 + 55*k + 66*x - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -1  (b) 1.32  (c) -74  (d) 3\/2  (e) 2\/3  (f) 0.076\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-6)\/(2 - 3\/6). Suppose -3*s + p = -2*s - 6, 0 = -3*s - 2*p + 13. Put s, -3, i in ascending order.\nAnswer: i, -3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -792.406 + -9.214. Let b = -795 - v. What is b rounded to one dp?\nAnswer: 6.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -22 + 1122012100100?\nAnswer: 1122012100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence jjss when four letters picked without replacement from jjjjjsssss?\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -223 and -23?\nAnswer: 5129","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 749*h + 815*h - 287*h = 233*h + 3132 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(76)\/((sqrt(4) + sqrt(64) + sqrt(4))*3 + sqrt(4))*4)**2 + -4)*1.\nAnswer: -60\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (0 + -6 - -2) + 2. Let g = x - -6. Suppose -3*c = -g*c + 10. What are the prime factors of c?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.88136 plus -1340?\nAnswer: -1341.88136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 0.047 + -0.017. Sort 4, a, 13 in decreasing order.\nAnswer: 13, 4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add -0.075 and -0.10534.\nAnswer: -0.18034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -475 divided by 89589\nAnswer: -475\/89589","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 321, 708, 1201, 1848, 2697, 3796, 5193, 6936?\nAnswer: 9073","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Express (-258 + 27*c + 258)*(94 - 522 + 261)*(3 - 2 + 0) as w*c + v and give w.\nAnswer: -4509","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 20 and 20745?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 208012 and 68.\nAnswer: 208012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 707662656?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1*2\/2)\/((-421)\/(-1263)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 22*q + 91 = 179 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -26335890 divided by -10.\nAnswer: 2633589","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y = -t + 79, -2*y + 0*y + t = 37. Put y, 3, -5 in ascending order.\nAnswer: y, -5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 270783541\/1160 + -233434. What is the common denominator of u and 13\/32?\nAnswer: 4640","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 7305?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0 - -0.2. Let q = -27 - -35. Let a be (5\/35)\/(q\/7). What is the closest to 0 in a, -0.5, r?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0 + 2 - 3)*(1 - 1 - 1)*(-4*p + p + 4*p) - 225 + 2*p + 254 + p to g + m*p and give g.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -0.4  (b) -33\/2  (c) 27  (d) -0.114\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 681 minutes after 6:10 AM?\nAnswer: 5:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 d, 1 u, and 1 p when four letters picked without replacement from {t: 2, p: 2, d: 2, u: 3}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = 145*d**2. Let i(y) = -2*y + 94. Give i(x(a)).\nAnswer: -290*a**2 + 94","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*(-2*(sqrt(176) + sqrt(176) + 3 + 1)*-3)**2.\nAnswer: 9216*sqrt(11) + 103680","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n be -2 + (-1 - -6)*(-25 - -30). Solve -n = 36*j + 13 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 396 - 245. Let t = 151.00000492 - p. Round t to seven decimal places.\nAnswer: 0.0000049","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 45\/4 of a tonne?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 246 - 240. Let w(x) be the third derivative of 0*x**4 - 1\/735*x**7 + 0 - 1\/420*x**u + 0*x + 1\/105*x**5 + 0*x**3 - x**2. Find c, given that w(c) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve c - 4*y - 9 = 1 + 24, -5*y = 8*c + 61 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m be -12 - (-36)\/(1 - -5). Let x(v) = v**3 + 8*v**2 + 10*v + 7. Give x(m).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*s - 407*w = -406*w + 25, -6*w = -3*s + 3 for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 421\/4 - 112. Calculate the common denominator of c and -101\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -5106 + 5106. Solve t = -13*n - 10 - 16 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*n - 186 = 186. Suppose 0*o + 2*o = 42. What is the remainder when n is divided by o?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 41122 - 3?\nAnswer: 41114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -518, -735, -954, -1175, -1398?\n\"Answer: -g**2 - 214*g - 303","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4703.\nAnswer: 4703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = o**3 + 93*o**2 + 550*o + 18. Calculate k(-6).\nAnswer: -150","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 69*c - 110*c = 570 - 2415. Calculate the greatest common factor of c and 335.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = w**2 + 6*w + 5. Let v be q(-4). Let r(x) = x**2 - 3*x - 4. Let g = 136 - 83. Calculate the remainder when g is divided by r(v).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {e: 1, n: 1, s: 3}. Give prob of picking 1 n, 1 e, and 2 s.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -0.9 - 0.1. Let z = -2508211\/7 + 358315. Which is the second smallest value?  (a) f  (b) -1\/5  (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {p: 2, e: 10}. What is prob of sequence ee?\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (((-104)\/(-32))\/13)\/((-2)\/(-6))?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor -y**2\/3 + 9271706*y\/3 - 21491133037609\/3.\nAnswer: -(y - 4635853)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.0043 and 136?\nAnswer: 0.5848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -43*q - 54 = 22*q + 11. Put -85, q, 2 in decreasing order.\nAnswer: 2, q, -85","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2288987 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 324 = -777108*b + 776946*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -42*h + 50*h = -8 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*(3 + sqrt(21)\/sqrt(3) + -1 + (sqrt(7) - (sqrt(7) + 5*sqrt(28))) + (sqrt(7) - (sqrt(7) + 1)) + sqrt(7) + -2)*-5.\nAnswer: 20 + 160*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is -2325\/13067 less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 31\/6 of a century in months?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*k + 0 = -55. What is the remainder when 53 is divided by 196\/k - (-2)\/11?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2 - 0 - 0)*352\/(-44).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 301, 591, 879, 1165?\nAnswer: 1449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put -9, -4, 8\/9 in increasing order.\nAnswer: -9, -4, 8\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 508.987 - 8.987. Which is the biggest value?  (a) y  (b) -2\/19  (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-3)\/(-6)*0)\/1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) = 2*n**3 - n**2 - 2*n - 1. Let c be d(2). Let h(m) = m - 3 + 0*m**2 - 2*m + m**2 - 2*m. Is h(c) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -5301, -5302, -5303, -5304, -5305?\nAnswer: -5306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 5504394 and 9173990?\nAnswer: 27521970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*t + 7 = u, 2*t - 5*u - 62 - 63 = -121 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1001000001100 - -1000001?\nAnswer: -1000111001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -2.7146 * 430\nAnswer: -1167.278","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 2469 - 1837. Calculate the greatest common divisor of f and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = -180*r + 6418. What is the thousands digit of n(-117)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 357 and 53215722.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 0 - -4. Suppose -c*x = 210 + 350. List the prime factors of x\/(-18) - (-2)\/9.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 50*y**3 + 1024*y**2 + 164*y + 62584275 wrt y?\nAnswer: 150*y**2 + 2048*y + 164","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 7257 != 7252?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {r: 5}. Give prob of sequence rrrr.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = -5 + g - 5*g - 3. What are the prime factors of l(-7)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(1100) + -3*sqrt(1100) + 0 - (-1*sqrt(1100) + -2) - (0 + sqrt(1100) + -2 + sqrt(1100) + 5 + -2*sqrt(1100)))*6)**2.\nAnswer: 720*sqrt(11) + 39636","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -w**2 + 2683 - 2683.\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3*(-68)\/(-15) + ((-1392)\/(-80) - 17).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 20621 and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is three eighths of a tonne in kilograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from vywwvvvzvu. Give prob of picking 1 z and 1 w.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000016623162 to six dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 48155209 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -195*i + 6 = -193*i - f, -i + 4*f = 4 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 0.0449 and 11994963636?\nAnswer: 11994963635.9551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 2 a factor of 936?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = r - 3. Calculate i(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -212 (base 4) in base 13?\nAnswer: -2c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 36186036*u - 102060386.\nAnswer: 36186036","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -f**4\/4 + 83*f**3 - 3861*f**2\/4 + 3311*f\/2 + 7840 = 0 for f.\nAnswer: -2, 7, 320","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from iiiimiiiitiimi. What is prob of sequence im?\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 1214, 1210, 1202, 1190?\n\"Answer: -2*w**2 + 2*w + 1214","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is (0 - -3 - -1) + -1 + -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 11091.188 at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 2478862570?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 9889969 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: What is next in 19, 53, 121, 229, 383, 589?\nAnswer: 853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1.1 + 18272.47.\nAnswer: 18273.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (4\/65)\/(3*8\/60).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify d**(2\/15)\/(d*d**(-1\/2))*d*d*d**(-1\/3)*d**2*(d**(-4)*d\/(d\/d**(1\/4))*d*d)\/((d\/d**(-2\/11))\/d**(4\/9)) assuming d is positive.\nAnswer: d**(1609\/1980)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Does 1225 divide 30631125?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Add together -0.2 and -3079670837.\nAnswer: -3079670837.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 t and 1 i when two letters picked without replacement from ityyitiiyiiyi?\nAnswer: 7\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 8 a factor of 290?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*(sqrt(7) + (sqrt(28))**2 + 1)*-2.\nAnswer: -174 - 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -642 divided by 3\nAnswer: -214","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 3*a**4*k**3 + 120*a**4*k - 759*a*k**2 - k**3 wrt a?\nAnswer: 36*a**2*k**3 + 1440*a**2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = t + 1. Let v(d) = d**2 + d - 5. Let q be v(-4). Let g = -7 + q. Give h(g).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = f**3 - 5*f**2 - 1. Let k be d(5). Let l(r) = -10*r. Let y be l(k). Let w = y - -8. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 9086*q**2 + 4989*q**2 - 14077*q**2 + q.\nAnswer: -2*q**2 + q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = 2*w**2 + 7*w + 12. What is i(-5)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 46718?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -31077 (base 10) in base 14?\nAnswer: -b47b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -21121 - -40461. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 3 - ((-4635)\/(-12) - -3). Let y = t + 397. Calculate the common denominator of y and -17\/2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from iziyyzyyyiyyyiyy. What is prob of picking 2 z?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Round -87260 to the nearest 1000.\nAnswer: -87000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 17\/1764 and 31\/5586?\nAnswer: 33516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Put -27, -2, 2, -47, -48, 4 in increasing order.\nAnswer: -48, -47, -27, -2, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) be the third derivative of -a**5\/20 + 13*a**4\/24 + 5*a**3\/3 + 3*a**2 + 24. Factor y(s).\nAnswer: -(s - 5)*(3*s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 83aa - -10?\nAnswer: 83ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -u**3 + 499*u**2 - 248*u**2 - 251*u**2.\nAnswer: -u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = -d**3 + 18*d**2 + 2*d - 66. What is y(18)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Determine q so that 4*q**4 + 12*q**3 - 12*q**2 - 44*q - 24 = 0.\nAnswer: -3, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 27\/30 + 2\/(-4).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 32 + 11*k**3 - 32 + 15*k**3.\nAnswer: 26*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.6015269 nanograms in milligrams?\nAnswer: 0.0000006015269","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 4\/2*(-4 - 40\/(-8)). Solve 13 - 23 = -z*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of o**3*z**3 + 265*o**3 - 2*o**2*z**3 + 6*o*z**3 + 5*o*z**2 wrt z.\nAnswer: 6*o**3 - 12*o**2 + 36*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:11 PM and 11:14 PM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -53*h = -20*h - 2916 + 375. What is the highest common divisor of 660 and h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t - 3745 = -4*l, 0*t = -4*t - 5*l + 4992. What is the hundreds digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 3, -8, -31, -72, -137, -232?\n\"Answer: -m**3 - 4*m + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -0.6 - -0.61. Let k = -119 + 123. Sort l, 0.5, -0.1, k in descending order.\nAnswer: k, 0.5, l, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*m + 36*m - 210 = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 12670 + -47?\nAnswer: 12624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 26*c - 8*c - 9*c - 4*c.\nAnswer: 5*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = 370*n**2 + 2795*n - 1298. What is w(-8)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = -h - 6. Let o = -32 + 20. Let r be i(o). Is 0\/2 + 402\/r a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1645802 is divided by 62?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 17143783?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 71719.037+18.18\nAnswer: 71737.217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -973278 divided by 4?\nAnswer: -486639\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in seven halves of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -91 - 3?\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 7 - 6.95. Let l = n + -0.45. Put -0.2, 5, l in ascending order.\nAnswer: l, -0.2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-7)\/(-21)*2*2\/(-4).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor 11\/2*c**2 - 11\/2 - 1\/2*c + 1\/2*c**3.\nAnswer: (c - 1)*(c + 1)*(c + 11)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 (base 5) in base 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 110*d = -80*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 48459708?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(304) + 1)*4 - (-6*(sqrt(19) + 1) - sqrt(76)\/sqrt(4)*-6).\nAnswer: 10 + 16*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 2806 a multiple of 61?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1727?  (a) -0.1  (b) -15  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 441933 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Does 23 divide 30222?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(121) - (sqrt(121) + sqrt(121)*6) - sqrt(121))*-5)\/(sqrt(11) + (sqrt(11) - -2*-5*sqrt(11))).\nAnswer: -35*sqrt(11)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 27517 = 3*m - 2*z + 27527, -2*m = z + 9 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sum 4440889 and -0.03278.\nAnswer: 4440888.96722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -1085 + -505. Let b = c - 760. Round b to the nearest one hundred.\nAnswer: -2400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:28 AM and 7:55 AM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*u - 6*u - 80. Let p be (-1)\/((-6)\/u)*(-6)\/4. Find the second derivative of -14*s - s**p - 2*s**5 - 16*s - 5*s**5 wrt s.\nAnswer: -160*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 7576 and 1288.\nAnswer: 1219736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 1 - -4. What is the third smallest value in 3, v, -0.2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 4019*d**5 - 3*d**4 + 217*d**3 - 10470*d**2 - 52.\nAnswer: 241140*d**2 - 72*d + 1302","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 328400 and 50.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -22746 (base 10) to base 8\nAnswer: -54332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in f**3 + 2*f**3 + 3*f**3 - 2*f**3.\nAnswer: 4*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence iip when three letters picked without replacement from ipiiyiypiiigipgy.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21*m + 5 = 22*m. List the prime factors of 4 - (m + -3) - -6*41.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/2?  (a) 1.96  (b) -2  (c) 11  (d) -42\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j + 5*q = -13171 + 66463, 5*j = -q + 133253. List the prime factors of j.\nAnswer: 29, 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -11010 (base 3) in base 16?\nAnswer: -6f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (70\/(-28)*6\/25)\/(-1).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n + 143 = 5*b - n, 86 = 3*b + n. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does -79 = -1021\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 8289 and 1310200785.\nAnswer: 8289","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) be the third derivative of -5*r**8\/112 + 4*r**5\/15 + 7*r**2. What is the third derivative of a(t) wrt t?\nAnswer: -900*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence swy when three letters picked without replacement from {y: 2, s: 2, w: 1}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 91\/40 and 123\/200?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = -15*a**3 - 8*a + 14. Let q(g) = g - 27 - 21 - 20 + 10*g**3 + 4*g + 59. Give 8*q(w) + 5*z(w).\nAnswer: 5*w**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 52661.\nAnswer: 7, 7523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -826, -1043, -1254, -1459, -1658?\nAnswer: -1851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 157 is divided by 32.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -11674 - -11678. Solve 14*k - 15 = 19*k - 2*r, s*k + 4*r = -40 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = -q. Let v(s) = -78 + 80 + 785*s - 774*s. Determine f(v(t)).\nAnswer: -11*t - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Divide 31048 by 4.\nAnswer: 7762","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = -1. Suppose 2*z = 5*z - 12. Let t(f) = f + 5 + z - 1. What is -18*c(b) - 2*t(b)?\nAnswer: -2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = -x**3 - 3*x**2 - 379*x + 1894. What is v(5)?\nAnswer: -201","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 875?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 33729 is divided by 4198?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -38\/11 and -53\/321.\nAnswer: 3531","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round -19298706 to the nearest ten thousand.\nAnswer: -19300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 + 6 - 3)*(26*a + 19*a + 23*a)*(2*a - 4*a + 3*a).\nAnswer: -68*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 260764 + 148*c - 260764.\nAnswer: 148*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = -3*a**2 + 19*a + 7. Let q(c) = -2*c**2 + 10*c + 3. Let p(h) = -3*g(h) + 5*q(h). Let i be p(-4). List the prime factors of ((-4)\/5)\/(i\/(-105)).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, -3, -11, 3 in decreasing order.\nAnswer: 4, 3, -3, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = -2*a - 1. Let v(z) = -z**3 + 3*z**2 + 4*z. Let b be v(4). Suppose b = -3*r, 1 = -2*y + 4*r - 3. What is t(y)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*m = -2*q + 12*m + 9495, 0 = -2*q + 2*m + 9480. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2035739495 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b\/((b**(-7\/3)\/b)\/b))\/b)**(-47) assuming b is positive.\nAnswer: b**(-611\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 39871?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -5  (b) -1442703  (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 179\/165300 and 59\/85880.\nAnswer: 37357800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 21134.\nAnswer: 2, 10567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 3*((-96)\/(-9))\/4. Suppose o*j = 9*j - 3. Suppose -j*b + 15 = 3*r, b + r + r = 8. Solve f - 5*s = -10, -3*s = -b*s - 2 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 1 - -114?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*n**2 - 802*n = 0. What is n?\nAnswer: 0, 401","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -758*u = -700*u - 290. Put -5, 12, u, 0 in increasing order.\nAnswer: -5, 0, u, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 56 minutes after 7:07 AM?\nAnswer: 8:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (9 + -64 - -28 - -18) + 44?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 1024\/40*(1 - 27\/2). Round i to the nearest ten.\nAnswer: -320","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together -25861947386925 and -3.\nAnswer: -25861947386928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**(-5\/8)\/f)\/(f*f*f**(-12)\/f*f)*f**(9\/4)*f\/f**(-5)*f*f assuming f is positive.\nAnswer: f**(149\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v + n + 8 - 26 = 0, -5*v = 4*n - 23. Suppose -v = -4*d - j, 6*d = 2*d + 4*j - 8. Let m be (-1 - (0 + -1))\/(-1). Solve m = -k + d - 5 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 5*-1.3\nAnswer: -6.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -15740  (b) -1  (c) -0.3  (d) 3\/22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4207.\nAnswer: 7, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5313*r + 4719 = 594*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 421966\/(-2914) + 107 + 38\nAnswer: 6\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -32 - -30. Let u(i) = -5*i - 7. Let j be u(z). Sort -4, j, 21 in decreasing order.\nAnswer: 21, j, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) be the third derivative of 29*j**5\/60 + 3*j**4\/8 - j**3\/6 + 3*j**2. Is v(-6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be -29 + 23 - -316*(-4)\/16. Which is smaller: f or -89?\nAnswer: -89","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 1025 + -1023. What is the closest to 2\/7 in -13, v, -4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) be the second derivative of t**4\/12 - 5*t**3\/6 + 3*t**2\/2 + t. Let z(p) = p - 1. Let y be z(1). Let d = 5 - y. Calculate j(d).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-6 + 4)*(-2 - -4)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 1414\/56 + -3*(-4)\/(-48). Suppose a - 3*d - 5206 = 0, 0 = -4*a - 22*d + p*d + 20833. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 388222, 776911, 1165600, 1554289?\n\"Answer: 388689*g - 467","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = 3*o + 62. Let n be d(-20). Suppose n*q - 315 = 3*c - 4*c, 3*c - 2*q - 905 = 0. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 41788723, 41788725, 41788727, 41788729, 41788731?\n\"Answer: 2*u + 41788721","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -53, -43, -33, -23?\n\"Answer: 10*v - 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 67*n - 39*n = 0. Suppose n = -24*k - 0*k + 7224. Does 43 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3 + (sqrt(175) - sqrt(175)*-2) + sqrt(175) + -3)*1.\nAnswer: -6 + 20*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -9 + 3. Let c be (1*-50)\/(j\/15). What is the highest common factor of 25 and c?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from jqqj?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -216, 5, -1683 in descending order.\nAnswer: 5, -4, -216, -1683","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3*f**3 + 0*f**2 + 0*f**2)*(-310 - 481 + 128)*(2 - 2 + 2*f) as z*f**3 + y*f**4 + u*f**2 + t + d*f and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1*sqrt(48)\/sqrt(4) - sqrt(12)*2*-6)\/((sqrt(264)\/(-3*sqrt(11)) - sqrt(24))\/sqrt(4)))**2.\nAnswer: 1089\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y*y**(8\/17)\/y*y)\/y**(-2\/45))\/(y**(-13\/6)*y**(-1\/13)\/y*y*y) assuming y is positive.\nAnswer: y**(54869\/19890)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 604408496 plus -17483?\nAnswer: 604391013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 19\/12 or 1?\nAnswer: 19\/12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + -3*(sqrt(80))**2 - 4*(sqrt(245) + sqrt(245)*1).\nAnswer: -237 - 56*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 18 or 45895\/2462?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5.771815 millilitres to litres.\nAnswer: 0.005771815","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**1)**(-31)\/((g\/g**(1\/9))\/((g*g\/((g\/g**1)\/g))\/g)) assuming g is positive.\nAnswer: g**(-269\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -0.2 - -995481320\nAnswer: 995481319.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 558 minutes after 9:36 AM?\nAnswer: 6:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((26\/(-546))\/((-10)\/60))\/((-30)\/(-357)).\nAnswer: 17\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = 5*j + 17. Is z(8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*a + 64 = -11. Let y(f) = 7*f**2 + 2*f + 1. Let k be y(-1). Suppose a = k*g - g. Solve g*s + 4 = 9 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = y**3 + 9*y**2 + 7*y - 9. Let o be c(-7). Let k be 16\/o*(-45)\/(-6). Solve x = -k*x + 16 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 - -14 - (127 + -117)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 72 - 7*j + 0*j - 11*j.\nAnswer: -18*j + 72","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11*t + t + 10*t - 16 = -8*t, -13*s - 166 = -5*t for s.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {q: 3, g: 3, h: 3, l: 1, u: 1}. Give prob of sequence ug.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w\/w**(1\/5)*w)\/w)**(-11) assuming w is positive.\nAnswer: w**(-44\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Divide -536 by 134.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (18\/270)\/(4\/(-128463)). Let v = 2140 + f. Find the common denominator of -1 + 27\/(-4) + 0 and v.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z + 4*s = 12, s + 4*s = z. Let t = -5 - z. Suppose t*o - 598 = 997. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 383441.1 to the nearest one thousand.\nAnswer: 383000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 27\/95680 and 151\/690.\nAnswer: 287040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 18319508.\nAnswer: 2, 4579877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*x + 0*x = 39259*m - 39262*m - 25, 3*m - 4*x - 31 = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 416826 divided by 138942.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -3\/25 or -602?\nAnswer: -602","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 212472 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 18, 39, 52, 39, -18, -137, -336, -633?\nAnswer: -1046","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(2) - sqrt(6)\/sqrt(3) - sqrt(2))*-1 - (sqrt(242) - (sqrt(242)*-2 - sqrt(242)))**2.\nAnswer: -3872 + sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from sissiii. Give prob of sequence ssis.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 1\/4  (b) 0.3  (c) 3\/2  (d) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = l + 4*s - 26, -l + 0*s - s = -11. Suppose -174 = -l*y + 138. Is y a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 202 + 12*u**2 - 54 - 50 - 48 - 50.\nAnswer: 12*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 431.32869us in hours?\nAnswer: 0.000000119813525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 9456, 18373, 27272, 36153, 45016, 53861?\n\"Answer: -9*a**2 + 8944*a + 521","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -2 - (1 - ((5 - 3) + -1))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 6489 and 11845?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 1 + -13 + 7468972\/481936 - 7\/2 and 33\/20?\nAnswer: 86060","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w + 4*y + 8 = 110, 0 = -4*w - 4*y + 140. Suppose w + 46 = 3*b. What is the highest common factor of b and 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be -1 + ((-45)\/6)\/5. Let p be 3 - 7 - -4*(-39)\/(-42). Let j = 8.88 - -0.12. Sort p, r, j.\nAnswer: r, p, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 50*(-18)\/(-270)*-5*24\/16?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = -f**3 - f**2 - 1. Let l(i) = -271*i**3 - 9*i**2 - i - 7. Calculate -7*d(p) + l(p).\nAnswer: -264*p**3 - 2*p**2 - p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -29\/9 and 26\/2535405.\nAnswer: 7606215","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 4 in -2\/1411, -2.7423, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -2\/3295779 + 74338273\/241690460. What is the common denominator of 19\/10 and j?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6*h**2 + 0*h**2 - 2*h + 8 - 8.\nAnswer: 6*h**2 - 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = -18*r - 136. Suppose -10*o - 185 + 105 = 0. Let s be d(o). Let k(g) = g**3 - 9*g**2 + 7*g - 5. Calculate k(s).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*j + 22 = 3*g, -1066*j = -2*g - 1063*j - 7 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4861.\nAnswer: 4861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -91 in -2\/11, 0, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1861 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in seven quarters of a centimeter?\nAnswer: 17500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -10010010 (base 2) to base 14\nAnswer: -a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((-876)\/(-16) - -3)*-4. Let t = 838 + c. Suppose -6*z + t = -947. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1 + 25 - (-60 + 93) - (14 - -1).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 + (-2 - 0) + (-8 - -13)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 7\/2 of a centimeter?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 c and 3 z when four letters picked without replacement from qtkttzzezqqqct.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 55610531 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: (-1)\/3*(-45)\/(-35)\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = 10*b. Let c(n) = n**2 - 4*n. What is i(c(s))?\nAnswer: 10*s**2 - 40*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = 108*u**3. Let j be y(2). Let n be (-22)\/2*j - -4. Round n to the nearest one thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-53)\/212 + 7634\/8. Suppose 0 = -2*a - 4*n + l, a - n - n = 489. List the prime factors of a.\nAnswer: 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*w = 2*d - 37, -3*d = 141*w - 146*w + 7. Let k(y) = 2*y**3 + 6*y**2 + 27*y + 8. Let i(f) = -4*f**3 - 13*f**2 - 55*f - 17. Calculate d*i(t) + 13*k(t).\nAnswer: 2*t**3 + 21*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((p\/(p\/(p*p**(6\/13)*p)))\/p**(-8))**41)**(-12\/5) assuming p is positive.\nAnswer: p**(-66912\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 8*m + m - 90. Suppose 2*o - a + 0 - 8 = 0, -3*o + 12 = -5*a. Suppose o*q = 10 + m. Solve -l = -6*l - q for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -11 + -101001011001111010110110?\nAnswer: -101001011001111010111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round 187.25 to the nearest ten.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) be the first derivative of -i**2\/2 + 12*i - 18. Suppose -2*z - 14 = -4*z. What is r(z)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 0, -18, -60, -138, -264?\n\"Answer: -2*s**3 - 4*s + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-2 + -1)\/(-6)*0. Suppose -2*v = -g - d*g + 8, -v = g + 4. Let o(q) = -3*q + g*q + q. Let l(u) = u**2. Calculate o(l(i)).\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g + 15 = -4*c + c, -5*g - 3*c + 6 = 0. Let s be (4\/6)\/(1\/g). Let b = 3 + 21. Solve 5*y = -4*z + b, -2*y = z - s*z - 7 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 1 + -160253?\nAnswer: -160252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 13449064 or 1?\nAnswer: 13449064","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort -7, 18, 4, -1, 6994.\nAnswer: -7, -1, 4, 18, 6994","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 55 - (12 - (12 - -16) - -34)\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*q - q + 115 = 0. Suppose 5*r + q = 3*o - 16, -r + 5 = o. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -1244, -1248, -1254, -1262, -1272?\n\"Answer: -z**2 - z - 1242","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 135006659*m**3*n**2 + 35424*m**3 + 1385*m + 2*n**3 wrt n.\nAnswer: 270013318*m**3*n + 6*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 5965 a factor of 3168451009?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from wayvawyyuwywyvy. Give prob of sequence vyu.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 689 and 74308.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4851.\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = -7261*c**2 + 7*c - 2 + 7*c - 2*c + 7259*c**2. Suppose 0 = 3*u + p - 19, -1 = u - 4*p - 3. Calculate y(u).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*((-4*sqrt(32))**2 + -5) + -1)*2*-6.\nAnswer: 36516","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -619.69068*-2.\nAnswer: 1239.38136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 652 minutes before 4:49 PM?\nAnswer: 5:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*sqrt(68)*4 - ((sqrt(1700)*-5)**2 + -4).\nAnswer: -42496 + 8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(sqrt(187)\/(sqrt(11) - sqrt(704)) + (4*sqrt(153))\/sqrt(9))*-5.\nAnswer: -675*sqrt(17)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -1391293 + 433893. Round u to the nearest 10000.\nAnswer: -960000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1 = y, 4*t = 3*y - 5*y + 10 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 33 (base 4) to base 6.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 68401 is divided by 1309?\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -13094*0.8\nAnswer: -10475.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -13*v**5 + v**4 + 3026143*v**3 + 17*v**2 - v + 976820?\nAnswer: -780*v**2 + 24*v + 18156858","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*n - 6*n = -5*s + 5, -4*s + 4*n + 20 = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = v**3 + 665*v**2 - 2908*v + 296133. What is f(-670)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (30\/(-6))\/(1 - 0). Put -3, j, -4, 1 in decreasing order.\nAnswer: 1, -3, -4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = -u**2 + 6*u + 10. Let s be p(7). Suppose -5*f + 209 = -k - 0*k, f + k = 43. Suppose 4*a = -2*b + 36, s*b - b - f = -2*a. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 4663, 18971, 42811, 76177, 119063, 171463?\n\"Answer: -p**3 + 4772*p**2 - p - 107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = -f**3 - 7*f**2 + f - 2. Determine a(-7).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 15 + -6 + 20\/(-4). Let j = -10 + 5. Which is the closest to 0?  (a) 1\/4  (b) n  (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 65\/352 and 11\/69632.\nAnswer: 765952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 63 is divided by (0 - -1)\/((-3)\/(-39)).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 3966, 4103, 4240, 4377, 4514, 4651?\nAnswer: 4788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2139 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 2440 minus 11.96?\nAnswer: 2428.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k + 66 = -5*k. Let o = k + 16. What are the prime factors of 6*(-39)\/o + 3?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -30795169 + -4.\nAnswer: -30795173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-4 - 4 + 6)*(0 + 3 + 0) - 3 + 1 + 1 - 3 - 2 + 2)*(-13 + 3 - 4)*(-5*m**4 + 196*m**3 + 10*m**4 - 197*m**3 + 6*m**2).\nAnswer: 700*m**4 - 140*m**3 + 840*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*o + o = 0. Suppose p + 7 - 8 = o. Are p and -4\/17 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 1 + (2 - -13)\/(3\/2). Solve -3*v = 2*m + 11, 2*v = 3*m - 5 - r for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 1 + -4. Let i(t) = t**2 - t + 1. Let n(c) be the second derivative of 1\/6*c**4 + 1\/2*c**2 + 0 - 7*c - 1\/6*c**3. Determine a*n(f) + 3*i(f).\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Does 135 = 136?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 45 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1509 + 2911. What is the remainder when q is divided by 36?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 21480685 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -2402 + 2498. Calculate the remainder when k is divided by 26.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-32)\/(-2)*((-5)\/(-3))\/(515\/22248*-18).\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -553, -1099, -1665, -2263, -2905?\nAnswer: -3603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 1, 21, -2\/9, 0.5?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-26)\/(-104) - (-3)\/(12\/(-7)). What is the second biggest value in l, -0.5, -6, -0.4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 13 + -5. Let n = 14 - k. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 598 is divided by 121?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*u - 16*u + 8 = 0. Suppose 2*o + 12 = 5*z, 6 - u = 4*z + 4*o. What is the third derivative of -k**z - 7255 - 42*k**6 + 7255 wrt k?\nAnswer: -5040*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -31 * -4.\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-353*y - 534*y - 1387*y)*(1 - 6 + 1 + 1).\nAnswer: 6822*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x = -7*q + 5*q, 3*q = 2*x + 5. Let z be 22\/8 + q\/4. Suppose -4*v + 6 + 6 = 0. Solve -v*h - y + 13 = 0, -6 = -h + y - z*y for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-2)\/(-6))\/((-4)\/60).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 27*d**3*n + 26*d**3 + 10*d**2 + 28*d*n + 1549*d - 40406*n + 7 wrt n?\nAnswer: 27*d**3 + 28*d - 40406","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (-296)\/30*6*(-4 - 1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 199323.\nAnswer: 3, 22147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 477200.96780435 + -477201. Let f = t - -0.0322. What is f rounded to six dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {n: 9, k: 1, i: 5, b: 5}. What is prob of sequence bbk?\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.19012 and 0.08466?\nAnswer: -0.0160955592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: ((-15)\/75)\/(5\/45)*(-4)\/234\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 269307294 to the nearest integer?\nAnswer: 16411","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00009932 to six dps.\nAnswer: 0.000099","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15 = -3*c, 0*c - 105 = -4*y - 3*c. Calculate the highest common factor of 340 and y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3 - 4*g + g + 0*g - 3.\nAnswer: -3*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 3524515487 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 76198334 a multiple of 1042?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) be the first derivative of -z**3\/3 + 5*z**2\/2 + z - 9. Calculate the lowest common multiple of 6 and u(4).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-4)\/(-12))\/((-1)\/(-24)). Let v be (o\/14)\/(4\/14). Suppose 0 = -2*b - 5*d - 2, 0 = -d - d - 4. Solve 0 = 5*i - v*c + 23, i + b*c = -3 + 16 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4*(-12)\/160*(-40)\/32.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*d - 10845 = 7*d + 1900*g - 3290, 2*g - 21 = -d + 5*g for d.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 38*g + 79211 - 79515 for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 1 + 111?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-4)\/1 + 125\/5. Suppose -3*d - 24 = -k, -t = 4*k - 2*d - 97. 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: Suppose -522 - 52 = -5*d - 3*i, -4*d - 3*i + 458 = 0. Let y = d + -113. Solve 2*t + 5*s = 13, -3*t - y*s + 11 = -4*s for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 254 minutes before 1:05 PM?\nAnswer: 8:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0.466 + -0.066. Is -0.5 smaller than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1 + (27 - 1) - (-35 + (139 - 95))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -0.161*-4\nAnswer: 0.644","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 521464515 to the power of 1\/4, to the nearest integer?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 c and 2 q when four letters picked without replacement from {h: 1, r: 2, q: 4, c: 4}.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1 * -0.003.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6 - 2 + 0)*(1 - 1 - 5)*(-77*g + 77*g + 5*g**2).\nAnswer: -100*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 9\/10 of a litre?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 0.218, 0.4, 0.05, 4\/67123, -2\/7?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = -86*z**2. Let w(c) = 169*c + 32. What is w(j(x))?\nAnswer: -14534*x**2 + 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 106 + -102. Suppose x = -1 + 6. Let f(v) = s*v - 1 - x + v - 6*v. Give f(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1244, -1235, -1236, -1241, -1244, -1239?\nAnswer: -1220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -2212031 (base 4) in base 14?\nAnswer: -3c3b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 177.454696 + -0.355696. Let t = j - 177. Let u = t - -0.004. Round u to two decimal places.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-9*p - 25*p + 3*p)*(2 - 2 - 1) + (-2 - 3 + 1)*(-5*p + p - p) + 2*p + 3*p - 3*p.\nAnswer: 53*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -200.92 - -199. Let l = -2.12 - j. Let g be 2 - 8*(-2)\/(-6). Which is the closest to 1\/3?  (a) g  (b) l  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 409693315.\nAnswer: 5, 103, 379, 2099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: (-2 - (-20)\/5)*8*(-242)\/176\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify f*f*(f\/f**(-2))\/f*f\/f**(1\/7)*f*f assuming f is positive.\nAnswer: f**(48\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 2447870, 4895744, 7343618, 9791492, 12239366?\n\"Answer: 2447874*r - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 74666443?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10080 = -22*o - 1588. What is the hundreds digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -111, -106, -101?\n\"Answer: 5*x - 116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.11557 + -0.04757. Which is smaller: o or -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) be the third derivative of n**6\/180 + n**5\/6 - n**4\/6 + n**3 + 7*n**2. Let g(v) be the first derivative of p(v). Is g(15) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -c = -r + 4, 35*c - 37*c = -3*r + 16 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y + 0*y + 3*m - 1 = 0, -4*y + 6 = 2*m. Suppose -5*c + 10 = 0, 0 = -2*h - 3*h - y*c + 9. Let j be 4\/6*(-63)\/(-28). Is j greater than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = -h + 2*o, 5*o + 13 = 5*h + o. Suppose 0 = -h*p - p + 324. Does 18 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -11586 by -3.\nAnswer: 3862","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-2)\/1 - 1*-172. What is d rounded to the nearest one hundred?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 32.79691l to millilitres.\nAnswer: 32796.91","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = -6*v**3 - 13*v**2 + 14*v + 3. Let m(i) = 5*i**3 + 12*i**2 - 13*i - 2. Let g(a) = 7*m(a) + 6*w(a). Let t be g(5). Does 8 divide ((-30)\/(-9))\/((-2)\/t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 2.402905 * -2.\nAnswer: -4.80581","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"}
{"text":"Question: -95b243 (base 13) to base 11\nAnswer: -1a87402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 55 divide 435105?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z + 8 = -6. Differentiate 0*g**3 - 5 + z + 3*g**3 wrt g.\nAnswer: 9*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 340 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 13.5 + -11. Let v = x - 2. Let k = 16.3 + -11.3. Sort v, k, 4.\nAnswer: v, 4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-84)\/(-48)*(1088\/(-364) - (-12)\/(-78)).\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 406291 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6 - 136*d**3 - 138*d**3 + 260*d**3 - 389015*d + 389015*d.\nAnswer: -14*d**3 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -30*x - 9*x - 856 = 5*x + 1256 for x.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 4200 and 16180?\nAnswer: 3397800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 6591466 divided by 9?\nAnswer: 6591466\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 278361837?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 533 divided by 3\nAnswer: 533\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 435 - -337. Let z = w - 771.2. Put -3, 3.3, z in ascending order.\nAnswer: -3, z, 3.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 13 a factor of 2177?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -182 - -557\/3. What is the common denominator of v and -55\/7?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = y**2 + 3. Let b be g(0). Suppose -32*k - 42 = -53*k. Suppose k*i = -b*i - l + 540, 4*i - 432 = -l. Is i a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = 34*y - 522. Let p(l) = 8*l - 131. Let n(v) = -2*c(v) + 9*p(v). Differentiate n(i) with respect to i.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -17 + 10. Let z(s) = s**3 + 8*s**2 + 6*s - 6. Let y be z(r). Let g be (8 + -2 - y) + -1. Solve -7*u + 2*u + 20 = -2*j, 5*u - 20 = -g*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 245239531.\nAnswer: 163, 1504537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 11072565 is divided by 46.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Does 12 divide 9172?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:17 AM and 12:27 PM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-5)\/3)\/((-228)\/684)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 12?  (a) 2\/15  (b) 4  (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 33f4 (base 16) to base 6\nAnswer: 141324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.054 and -63523?\nAnswer: -3430.242","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*j + 28 = -5*j - 2*k, 2 = -j - 3*k. What is the lowest common multiple of 0 - 1\/(-2)*6 and j?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify m**(1\/14)*m**(1\/6)*m\/(m\/m**(-2\/3))*m\/m**(1\/18) assuming m is positive.\nAnswer: m**(65\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {m: 4, b: 2, y: 1, p: 6, k: 4}. Give prob of picking 1 m, 1 y, 1 p, and 1 b.\nAnswer: 12\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 239*g - 1174*g**2 - 121*g - 118*g.\nAnswer: -1174*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-87472)\/(-54670))\/(4\/(-70)).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2420 is divided by 135?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 3\/605  (b) -5  (c) 62\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in -15797, 3, 1.3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*t = -3*v - 8, 32*t = 27*t - v - 9 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*m - k = -1029, 0*m + 3*k - 1023 = 4*m. Let w = 243 - m. Is 74 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-930)\/(-1320)*8)\/((-4)\/22).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2635 is divided by 48?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -14*z**3 - 18*z**3 - 11*z**3 + 56*z**3 - 9*z**3.\nAnswer: 4*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 14869904 to the power of 1\/2, to the nearest integer?\nAnswer: 3856","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2564391?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express -275 + 3636*w + 90 + 91 + 94 in the form v*w + x and give v.\nAnswer: 3636","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 - (7 - 4) - (1 + -1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 69 and 92?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -494675027 + 7.885.\nAnswer: -494675019.115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*t = 2*w - 28465, -3*t = -w + 3*w - 17075. Let p = t + -4038. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -9*n**2 + 867*n + 582.\nAnswer: -3*(n - 97)*(3*n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 2 and 9202?\nAnswer: 9202","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 189  (b) 0.15  (c) -5  (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Put -86, 5, 2, -1663, -2 in ascending order.\nAnswer: -1663, -86, -2, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify l**(-7)\/l**(2\/41) assuming l is positive.\nAnswer: l**(-289\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 504\/(-315)*(15\/(-2))\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = -11*f**2 + 1291*f - 264. Calculate u(117).\nAnswer: 204","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (225\/(-10))\/((5\/16)\/(320\/384)).\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*((1*sqrt(560)*-1 - sqrt(560)) + sqrt(560)))\/(((sqrt(112) - sqrt(112)*2) + (sqrt(49) - sqrt(784))\/sqrt(7))*3).\nAnswer: 16*sqrt(5)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -3801010353 - -3800992279.9992657. Let o = k - -18073. What is o rounded to 4 dps?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:53 PM and 9:54 PM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = 1925*o**2 + 165. Let j(b) = 47*b**2 + 4. Determine -165*j(a) + 4*x(a).\nAnswer: -55*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in 7.522189 millennia?\nAnswer: 75.22189","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 5\/7, -0.7, -2\/3 in descending order.\nAnswer: 2, 5\/7, -2\/3, -0.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*g + 11 = 5*x - 4, -4*g = x - 15. Let q = 9 - g. Suppose -5*z + 3*z = 0. Solve z*m - 3*v - 23 = 2*m, q*m = -2*v - 30 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, -7, 6 in ascending order.\nAnswer: -7, -5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 31486 is divided by 7870?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.5 and 5.1?\nAnswer: -2.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2192 - w - 5872 - w.\nAnswer: -2*w - 8064","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = -13*o**2 + 11*o - 7. Let c(v) = -4*v**2 + 4*v - 2. Determine -7*c(a) + 2*r(a).\nAnswer: 2*a**2 - 6*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -3 - 424\/84 - -6 and -17\/63.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -1330332 + -202?\nAnswer: -1331200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 55643 - 21388. Suppose -o = -x - c - 17477, 2*x + 258663 = 5*o. Let i = o - 4733. What is i rounded to the nearest ten thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) be the second derivative of -1\/114*l**4 + 0 - 16\/19*l**2 - 2*l - 8\/57*l**3. Find z, given that j(z) = 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 49941?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express -s**2 - 2 + 29*s - 58*s + 29*s in the form h*s**2 + j + b*s and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 32293?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) -5.7  (b) -265  (c) 0.2  (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1471, -2586, -3699, -4810?\nAnswer: -5919","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) be the first derivative of y**4\/4 + 2*y**3\/3 - 3*y**2 - 9*y + 19. Let m be g(-3). Let b(h) = 4*h + 16. Is b(m) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 7*m - 24*m - 12*m - 58. Put -83, m, 0 in decreasing order.\nAnswer: 0, m, -83","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 184*k**3 - 35*k**3 - 73*k**3 - 77*k**3.\nAnswer: -k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -1558 rounded to the nearest one hundred?\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = 5*f. Let b(a) = 419*a - 2. Let x(p) = -37695*p + 180. Let z(w) = 90*b(w) + x(w). Suppose 4*t = t. Suppose t = -3*m + 2 + 7. Give m*z(c) - 8*o(c).\nAnswer: 5*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 720, 1501, 2282, 3063, 3844?\n\"Answer: 781*x - 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1535, 5118, 11089, 19448, 30195, 43330, 58853?\nAnswer: 76764","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence gb when two letters picked without replacement from utuhggtyuhhygb.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -4361 (base 11) in base 6?\nAnswer: -42350","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.2 in -2\/3, -0.4, 2\/11, 5\/752?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-3 - -4)\/((-11)\/(-187)). Suppose -5*o - 19 = -2*x, -a*x + 45 = -14*x - 2*o. What is the remainder when 46 is divided by x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 353 minutes after 9:14 PM?\nAnswer: 3:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h + 4*t + 8 = 0, -7*h + 3*h + 5*t + 10 = 0. Suppose h = -12*l + 19*l - 2933. List the prime factors of l.\nAnswer: 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 61390573 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -1058330000 rounded to the nearest one million?\nAnswer: -1058000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 4*(15\/42)\/5. Let d be -2*((-5)\/2 - -3). Let g = d - -4. Sort g, 0.1, n in decreasing order.\nAnswer: g, n, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 762173 is divided by 6029.\nAnswer: 2519","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(320) - (0 + 0 + sqrt(320))) + 0 + ((6*(1 + sqrt(320) + sqrt(320)) + sqrt(320))*6)**2 - (5 + (sqrt(320)*1*1 + -4*(sqrt(320) + -1))**2).\nAnswer: 45120*sqrt(5) + 1945275","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 11 (base 6) to base 4\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 10 a factor of 610?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v = -3, -3*w - 161 = -2*v + 291. Let g be (-2 - 1)*w\/45. What is the highest common factor of g and 470?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find w such that w**2\/6 - 8*w\/3 - 102 = 0.\nAnswer: -18, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 12722230 is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand t**2 + 6*t**2 + 2*t**2 - 2*t + 2*t - 3*t**2 + (-t - 4*t - t)*(-2*t + 3*t + t).\nAnswer: -6*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 63\/24 - 3\/(-8)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = f**3 - 12*f**2 - 14*f + 12. Let n = 7 - -6. Let y be i(n). Let q(b) = -12*b**3 - 2*b - 1. List the prime factors of q(y).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 904443 is divided by 5165?\nAnswer: 568","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Convert b (base 15) to base 8.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 2043322 (base 7) to base 8\nAnswer: 740516","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2711754)\/(-33891) - (-32)\/(-2288)?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 124 is divided by 44?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (2\/(-3))\/(8\/24). What is the common denominator of (c - 800\/(-35))\/(40\/14) and 25?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 1\/22, -0.1, 30, -4?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 119714846?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*t - 2661 = -7157. What is the hundreds digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*q - 241410 = -3*l, -7*l + 2*l + 402350 = -q. Let t be (l\/12 - 2) + -1. Let i = 6723 - t. Calculate the common denominator of -22\/7 and i.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -2, 76, -9080, 3\/7, -0.09?\nAnswer: 76","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 52692371 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -1\/5, 3.47, -2, -4, 0.5, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**(1\/13)*s**(1\/20))**(-8\/3)\/((s**2)**5)**(-26\/7) assuming s is positive.\nAnswer: s**(16746\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round -488600 to the nearest 10000.\nAnswer: -490000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 48\/(-216) + (-1130)\/18. Let d = v + 69. Let q(w) = 0*w - 3*w - 6*w + d*w. Let s(y) = 21*y. Determine s(q(t)).\nAnswer: -63*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 234067650 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = -s**2 - 8*s - 12. Let v be w(-2). Suppose a + d = -2, 3*a - 7*a + 2*d = -16. Solve v = a*i - i - 4 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = b**3 - 4*b**2 - 79*b + 20. Calculate a(11).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 48742231\/(-692)*-2*2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = b**3 - 33*b**2 - 123*b + 3142. Give k(34).\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = 32 - 728*s + 367*s + 350*s + s**2. Give k(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-14 - 75 + 12)*(1 + q + q - 4).\nAnswer: -154*q + 231","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -4, 2\/3, 4, 3, -0.41, 1\/6?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 57568\/98 + 64\/14 + -4. What is the highest common factor of 12 and w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -11294\/11 + 3145438\/3069. Let t = -4\/93 - h. Calculate the common denominator of -11 and t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 2\/3  (b) 0  (c) -83\/6  (d) -1\/2  (e) 3  (f) 2749\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -109 - -115 - (12 + -6 + -9 - -23)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = q + 5. Let v(t) = 3. Let p(s) = 3*u(s) - 5*v(s). Let j(x) = -16*x. Give p(j(r)).\nAnswer: -48*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 2441 + 3?\nAnswer: 2444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 35\/(-120)*26\/91. Let p(i) = 4*i**2 + i. Let x be p(1). Suppose 4*s = -6*c + 2*c - 4, 35 = x*s - 5*c. What is the second smallest value in s, 2, a?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = -7*s + s**2 + 3*s - 2*s - 4. Let h be x(6). Let m be ((-12)\/(-30))\/(h\/(-5)). Which is the second biggest value?  (a) 3  (b) 1\/4  (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = -3*y**2 + 7*y**3 - 2*y - 5 - 6 + 9*y**2 + 17. Let g(p) = -20*p**3 - 17*p**2 + 6*p - 17. Let o = 14 + -8. Determine o*g(a) + 17*w(a).\nAnswer: -a**3 + 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {d: 1, t: 2, x: 5, n: 1, a: 1}. What is prob of picking 1 a, 1 x, 1 n, and 1 d?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -46\/15 - -22\/5. Which is smaller: 0 or g?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 847 from -2152.\nAnswer: -2999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -1754509 times 0.88\nAnswer: -1543967.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -4.4 less than -3125502.028?\nAnswer: -3125497.628","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {n: 3, d: 1, y: 5, f: 11}. What is prob of picking 1 d and 1 y?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -4537 - -5960. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 74906.43 millilitres?\nAnswer: 74.90643","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*w**3 + 86*w**2 + 1222*w + 5746 = 0. Calculate w.\nAnswer: -17, -13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = l - 12. Determine d(9).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) be the second derivative of -17*v**3\/3 - v**2 + 1687*v. Let j(g) = 6*g**2. Determine j(o(m)).\nAnswer: 6936*m**2 + 816*m + 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 745 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) be the second derivative of 19*o**4\/6 + o**3\/3 - o**2\/2 + 2*o. Let g be 6\/15 + 6\/10. Is r(g) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6 + 3*p - 6)*(-3 - 4 + 6) + (0*p - p + 2*p)*(-5 + 2 + 1) - p - 6*p + p.\nAnswer: -11*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c - c - 14 = -3*i, 12 = -2*c + 4*i. Suppose 4*g + 4*y - 12 = -0*g, -4*g = -c*y - 12. Solve -f - 1 = -a, -2*f - g*f + 4*a - 1 = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c\/c**0)**(-46))**49 assuming c is positive.\nAnswer: c**(-2254)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from dddddkkk. Give prob of picking 2 d and 2 k.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:27 PM and 10:26 PM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = -g**2 - 6*g + 74. Let p be o(6). Is p less than 90\/31?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -539 or -3768\/7?\nAnswer: -3768\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 19367 is divided by 308.\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -445, -960, -1541, -2188?\n\"Answer: -33*g**2 - 416*g + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 10425 is divided by 10413?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 1211 + -12130?\nAnswer: -10313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a**(-17)*a**(-13))**(2\/187))**(2\/3) assuming a is positive.\nAnswer: a**(-40\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*m - 2*z = 12, 0*m - 4*z = 2*m - 16. Suppose -m*v = 3*p - 130, -5*v + 95 = 4*p - 68. What is the derivative of -5 + w**4 - 31*w**3 + v*w**3 wrt w?\nAnswer: 4*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*d + 0*d + r - 2*r + 7 = 0, -249 = 2*r - 255 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 125*d + 7514 = -337*d - 116*d for d.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*r = 2*r - 21. Let k be (-13407)\/(-105) + 2\/r. Let x = k - 127. Which is the second biggest value?  (a) 0  (b) 0.3  (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (12\/(-10))\/(4\/10)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 1153 divided by 1216?\nAnswer: 1153\/1216","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Does 1478 divide 29901418?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 111 + 1011110000?\nAnswer: 1011110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -1 - 95c?\nAnswer: -95d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 94503499.\nAnswer: 173, 546263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*z = -5*r + 105, -z + 6 = 19*r - 15*r. What is the least common multiple of (-10)\/(-4)*(-4)\/(-5) and z - -7 - 9 - 10?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = w**3 + 10*w**2 + w + 13. Let z be q(-10). Suppose z*v - 70 = 5*c, v + 10*c - 5*c + 10 = 0. What are the prime factors of v?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -19 in -4, -1\/2, -3, -1920?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 564 minutes before 8:01 AM?\nAnswer: 10:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -741 + -112727\nAnswer: -113468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = t + 2*t**2 + 0*t - t**2 + 6 - 4. Let z be g(0). Solve 5*r - 20 = 3*a + z*a, r - 6 = -a for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 14 + (-4 - (-1 + -4)). Let n be 1*(0 + 12\/2). Solve 0 = s - n*s - w for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -376, -752, -1128, -1504?\n\"Answer: -376*r","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = w**3 - 2*w + 175. Let b be c(0). Let t = b - -132. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 6 - 4. Let r = 103.7 - 109. Let q = 5.5 + r. Which is the closest to q?  (a) -2\/7  (b) 3\/2  (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) be the first derivative of -d**5\/190 + d**3\/57 - d + 27. Let x(j) be the first derivative of t(j). Factor x(i).\nAnswer: -2*i*(i - 1)*(i + 1)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {m: 1, s: 2, j: 1, t: 2}. What is prob of sequence mjs?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 10980737?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -19549824*v + 19549553*v = -12466 for v.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u = -2*r - 2, 2*r = -3*r - 4*u + 22. Let t(y) = 8*y**2 - 16*y**r + 5*y**2. Let p(h) = -14*h. Calculate t(p(n)).\nAnswer: -588*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (16080\/(-462300))\/((-1)\/10).\nAnswer: 8\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 6\/4*7*330. Suppose 0 = -5*z - j - i, -j = -2*z + 6*z + 2773. Is z\/(-28) - (-4)\/14 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -191b33 + b0?\nAnswer: -191a73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = 4*f**2 + 14*f + 9. What are the prime factors of j(7)?\nAnswer: 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 84743*j**3*u**3 - 692*j**3 + 26*j**2*u**2 wrt u.\nAnswer: 508458*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 9224632 to the nearest integer?\nAnswer: 3037","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Convert 15.5628 millilitres to litres.\nAnswer: 0.0155628","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 50 minutes before 9:20 AM?\nAnswer: 8:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 13046 is divided by 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 26 and 7410.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 1\/5 - (-63)\/(-15). Calculate the remainder when 388\/8 + (-6)\/a is divided by 26.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ttg when three letters picked without replacement from {t: 5, v: 2, g: 4, n: 1, b: 4}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**(1\/6))**43\/(v**1*(v**(2\/45)*v)\/v*v*v) assuming v is positive.\nAnswer: v**(371\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = -8441*p - 160380. What is a(-19)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -5 - -10517?\nAnswer: 10512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Divide -75 by -7658.\nAnswer: 75\/7658","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = -28455*c - 15. Let t be s(-2). Suppose -t = -8*p - 7*p. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-6)\/9)\/((-4)\/24). Let r be -2 + 2\/((-12)\/(-357)). Let x = 62 - r. Which is smaller: p or x?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = -4*v + 12. Let j(n) = 5*n - 11. Let q(r) = -5*j(r) - 6*s(r). Let i be q(-14). Let x(y) = -y**3 + 3*y**2 + 3*y - 4. List the prime factors of x(i).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = 2*q - 149. Let y = -40 + q. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -262 + 576. What are the prime factors of j?\nAnswer: 2, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 0 + a + (-2*a - a + 0*a)*(-1 + 1 - 1) - 62*a - 100*a + 52*a)*(-2*a**4 + 0*a**4 + a**4).\nAnswer: 106*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from nkpkkpnpknppnpnpn. What is prob of picking 1 k and 3 p?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.92 and -0.10873.\nAnswer: -0.1000316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express v + v + 4*v**2 - 2*v as b*v**2 + r + a*v and give b.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Divide -29 by 83.\nAnswer: -29\/83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) -1  (b) -4\/7  (c) 0.1  (d) 0.2  (e) 1\/122\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2186*b**2 + 547*b**2 + 540*b**2 + 547*b**2 + 24 + 549*b**2.\nAnswer: -3*b**2 + 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -4, -0.1696, -0.2, -28?\nAnswer: -0.1696","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 75193766 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -r**5*v + 6708*r**5 - 2*r*v - 2*r + 44*v - 7 wrt r?\nAnswer: -20*r**3*v + 134160*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 1672704 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 2\/7  (b) -0.3  (c) 3  (d) -8  (e) 28  (f) 0.77\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = 6*x**2 + 11*x + 20. Determine p(-4).\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 12643476.\nAnswer: 2, 3, 79, 13337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i + 4*v = -10, -4*i + 4*v = -14 - 14. Solve -x - 4*z = -5*x + 8, i*x - z - 10 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*z**2 + 40614*z + 162424.\nAnswer: 2*(z + 4)*(z + 20303)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = -k**2. Let z(m) = 8*m**2. Let x(o) = 6*r(o) + z(o). Let h be 0 - -3 - 0 - -14. Let l(i) = 2 - 2 + 10*i - h*i. Give x(l(p)).\nAnswer: 98*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 154\/11*(1482\/(-39))\/(-63308).\nAnswer: 1\/119","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -3.2 in 6, 5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 27\/3*(-6)\/(-9). Find the third derivative of -6*n**2 - 2*n**6 + 12*n**6 + n**2 - 3*n**z wrt n.\nAnswer: 840*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 9876 and 32682?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = -15*p**2 + p. Let q be g(1). Let b be 0 + 1 - 1510\/q. Let d = 14813\/140 - b. Find the common denominator of 73\/18 and d.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1179 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 105615 divided by 313.\nAnswer: 105615\/313","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -0.3  (b) -6\/23  (c) 0.1  (d) 2762\/5  (e) 0.12  (f) -1\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 42\/210 + (19676\/20)\/1. Which is bigger: g or 981?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -44\/135 and -107\/30.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Does 114 divide 53124?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z = -2*a + 52, 2*z - a + 107 = 6*z. Suppose -26*k + z*k = 568. What is the hundreds digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5519 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p - 888 = z, 2*p + 89 - 670 = -3*z. Let s = p + -284. Solve n - s*n = -20 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -35*s**4 - 130*s**3 - 65*s**2 + 30*s.\nAnswer: -5*s*(s + 1)*(s + 3)*(7*s - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = m**3 - 4*m**2 - 6*m + 7. Let d be t(5). Let h be -4*(d + 13\/(-4)). Solve 2*w - 3*w + h = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 113303 (base 4) to base 16\nAnswer: 5f3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -95, -90, -85, -80, -75, -70?\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = j + 3. Let u be m(-3). Let q be (12\/(-36))\/((-49)\/12 + 4). Let o = 4 + -5. Put u, o, q in decreasing order.\nAnswer: q, u, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -2\/1943 - -7790\/17487. Put 2\/3, -1, 4, g in ascending order.\nAnswer: -1, g, 2\/3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 21541132 to the power of 1\/5, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*d + 32376 = 3*o, 15*o - 3*d - 53973 = 10*o. What is the greatest common factor of 168 and o?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 114904?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -66592505, -133185012, -199777519?\n\"Answer: -66592507*s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -k**4*q**3 + 12187*k**3*q**3 + 3*k*q**3 - 9*k*q**2 - 115*k + 1 wrt k?\nAnswer: -12*k**2*q**3 + 73122*k*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j**(-1)*j)**(1\/30)\/((j**(1\/7)\/j)\/(j*j\/(j*j**(4\/3)))))\/((((j\/(j**(-5)*j))\/j)\/((j*j**3)\/j))\/(j**1\/j)**(-1\/3)) assuming j is positive.\nAnswer: j**(-10\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: (6 - 2) + (2 - 8*1)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10339261 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -7 + 0 + (14 - 1) - 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {j: 4, u: 1, n: 3, f: 6}. Give prob of picking 1 n and 3 j.\nAnswer: 12\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2 - 2 + 2)*(-545*n + 5*n**4 - 11*n**4 + 539*n) to m*n + v*n**4 + o*n**2 + l*n**3 + k and give v.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 12420097.\nAnswer: 12420097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -7, -4, 9, 32, 65?\n\"Answer: 5*h**2 - 12*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -2, 6, 4 in increasing order.\nAnswer: -2, 0, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + ((sqrt(3) - sqrt(3)*-1)**2*-4 - sqrt(3)) + -4 - (sqrt(1701) + sqrt(1701) + sqrt(1701)*1 + sqrt(1701))\/(5*sqrt(112)))*1.\nAnswer: -57 - 14*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 59\/5 and (1\/6)\/((-1)\/28).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 99 divide 8144829?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*b - b - 3*b - 2*b - 4*b + 3*b + (b + 0*b + 0*b)*(0 - 3 + 4) + 0*b - 2*b - b.\nAnswer: -6*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -509 - -521. Suppose 0 = 2*l - 4*t - u, 19*l - 16*l - t = 3. Solve -10 = -5*r - l for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 262409879 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**(-1\/4))**(-2\/13)*l**(2\/17)*l*l**(-2\/11)\/l assuming l is positive.\nAnswer: l**(-125\/4862)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) be the second derivative of c**3\/6 - 2*c. Let y = 10 + -8. Let p(t) = y + 39*t - 2 - 36*t. Determine p(n(z)).\nAnswer: 3*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00122412965 rounded to four decimal places?\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -43 + 45. What is the units digit of (u*(-1)\/4)\/((-1)\/90)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 5135, 9, -2, 1 in increasing order.\nAnswer: -2, 1, 9, 5135","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is (912\/44)\/(-4) + 5?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -22  (b) 0.2  (c) 0.4  (d) -0.1657  (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -5 + (-1 + -4 - -13)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 762, 3642, 8598, 15624, 24714, 35862, 49062?\nAnswer: 64308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4291 is divided by 1332?\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 24 - 24 - 4*y**2 to the form h + r*y**2 + j*y and give r.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = -d**2 + 1. Let w(s) = 5*s**2 - 11*s - 13. Let z(b) = 4*l(b) + w(b). Let i be z(12). Sort 1, -6, i in ascending order.\nAnswer: -6, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1\/4, 1, -96, 3 in increasing order.\nAnswer: -96, -1\/4, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -0.2  (b) 0.05  (c) 0.5  (d) 0.2  (e) 1\/17  (f) -105\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = 4*y**2 + 34*y - 700. Determine w(-18).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 15\/4*(22\/6 + -1). Suppose a + 3 = 2*z - 0*a, 0 = 3*z + 4*a - o. Let v be -5 - (4 + (-12 - 1)). Put 8, v, z, -1 in descending order.\nAnswer: 8, v, z, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6280.698505 + 0.1.\nAnswer: -6280.598505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = -2*v**3 - 10*v**2 + 3*v + 26. Suppose -5*f + 3*d = 16, -4*f + 2*d - 17 = d. Let g be l(f). Solve -8*i - 6 = -g*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 25 = 5*s, -5*r = -0*r + 5*s - 5. Let i(t) = t**2 + 10*t + 3. Determine i(r).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3 - 3 + 3*g)*(-8 - 10 + 0)*(0*g**3 + 3*g**3 - g**3) to the form i + s*g + l*g**4 + d*g**3 + k*g**2 and give l.\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Put 378, -0.4, 10, 3\/5 in decreasing order.\nAnswer: 378, 10, 3\/5, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, 3, -21, -5, 51, -2 in ascending order.\nAnswer: -21, -5, -4, -2, 3, 51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 1327380 * 5\nAnswer: 6636900","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (306*r**3 - 660*r**4 - 306*r**3)*(-4*r + 10*r - 1 - 5*r).\nAnswer: -660*r**5 + 660*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -176*m = -6934 + 246 for m.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 212 + -136. Let b = y - 41. Let d(f) = -f**3 + 7*f**2 + 2*f - 7. Let z be d(7). Calculate the highest common factor of z and b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-49)\/14*(-60)\/1575*5?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*c**2 + 6*c + c**2 - c**2 + 6*c to f*c**2 + x*c + p and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = -818*t**2 + 2. Let u(d) = -5*d + 56. What is u(w(b))?\nAnswer: 4090*b**2 + 46","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(14)\/(sqrt(70)\/(sqrt(10)*1)).\nAnswer: sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = -11*u. Suppose 22*h = 222 + 438. Suppose h*p = 170 + 370. What is the smallest common multiple of w(-1) and p?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1 - -2 - (10 - 3)) + 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is one quarter of a day in hours?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d - 2*r + 2332 = 0, 4*d - 5838 = -d - 3*r. Suppose -25*s + d = s. What is the highest common factor of 450 and s?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve i + 721 - 718 = 0, -2*s = -2*i - 2*i + 14 for s.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10 = 3*b + 2*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 480 + -477. Which is greater: y or 71\/26?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 176 divide 9509355?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -121700 + 36?\nAnswer: -121642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Express 13 - 22 + 29*m**3 + 7 + 0*m + 2*m in the form b*m + p*m**2 + f + d*m**3 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, -1, 0.3, -7, -2\/17 in descending order.\nAnswer: 1, 0.3, -2\/17, -1, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*x - 195 - 1405 = 0. Let w = x + -165. Suppose 4*q = -t + w, 5*q = -3*t + 8*t + 225. Is 11 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 85 and 102.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -200 + 199.035. Let x = 1.17 + -1.135. Let t = s - x. Sort -2, 5, t in ascending order.\nAnswer: -2, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -1647 + 107089?\nAnswer: 105442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*a - 64 = 27. Let y = -89 + 94. What is the second derivative of -10*c**5 + 17*c**y - 3*c - a*c**5 - 11*c wrt c?\nAnswer: -120*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -14*i + 34*i - 17*i.\nAnswer: 3*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 9154157 is divided by 5455?\nAnswer: 667","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) be the first derivative of 57\/10*h**2 - 1\/5*h**3 + 63 - 54\/5*h. Factor a(b).\nAnswer: -3*(b - 18)*(b - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -22*a + 21*a - 27299 = w, 4*w - a = -109201. What is w rounded to the nearest 1000?\nAnswer: -27000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3821 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = -3*c + 90. Let y be s(24). Solve -10*n - y = -4*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -107 + 112. Let x be m\/(-1) + (-99)\/(-11). Which is the nearest to 2?  (a) 0.3  (b) 0.16  (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -69*g**3 - 8*g**3 - 71*g**2 + 71*g**2.\nAnswer: -77*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -179\/4368 and 20\/23597.\nAnswer: 14724528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 12804259471 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -489 + 727. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 < -18\/355?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is -43884 smaller than -43894?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 29\/810 and 127\/24676002?\nAnswer: 123380010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -p**2*r - 124*p*r - 51*r wrt p?\nAnswer: -2*p*r - 124*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00174579 rounded to four decimal places?\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d - 3*l + l - 3443 = 0, -d + 3*l + 3448 = 0. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*c = -3*c + 3*o - 39, 3*c - 49 = -o. What is the highest common divisor of 54 and c?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = x**3 + 81*x**2 + 71*x + 3837. Give c(-81).\nAnswer: -1914","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (((-83266)\/711)\/17)\/(2\/(-9)).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 21581 and 91.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 305*u = -324*u - 4837 + 6724 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 11 minutes after 11:55 PM?\nAnswer: 12:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 33316522 - 1?\nAnswer: 33316521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((2*(sqrt(95) + -1*sqrt(95) - sqrt(95)) + sqrt(95))\/(sqrt(5)*-2*-3) + -4 + 2)**2.\nAnswer: 2*sqrt(19)\/3 + 163\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 135\/9 - ((-16748)\/2332)\/((-2)\/22)\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -197164116*h**2 - 70368645*h wrt h.\nAnswer: -394328232","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 21.57901m to micrometers.\nAnswer: 21579010","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 26887, 108584, 244745, 435370, 680459?\n\"Answer: 27232*r**2 + r - 346","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 327306?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert 17.08673 kilometers to meters.\nAnswer: 17086.73","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*j + 15 = -d, 3*d = -4*j - 12 - 11. Let c = -1 - d. Suppose 0 = c*m - 7 - 1. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 44 and 1177.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0011932 rounded to four dps?\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/4 of a year in months?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 2011033 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert -4 (base 11) to base 16.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (0 + -8)*(3 + 341\/(-110)). Suppose 3*m - 4 = m. Which is the biggest value?  (a) m  (b) 5  (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*v - 3*c + 9 = -5, 5*v + 4*c = 11 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from mpapmolappa. What is prob of sequence po?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = -5*a + 15. What is h(-3)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -676829, -1353610, -2030391, -2707172, -3383953, -4060734?\nAnswer: -4737515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 345 (base 9) in base 2?\nAnswer: 100011100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/3?  (a) 2\/13  (b) -10  (c) 26  (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 3021392914 to the power of 1\/3, to the nearest integer?\nAnswer: 1446","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2)\/94*132\/(-22044)*-167?\nAnswer: -1\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Determine z so that -4*z**3 - 98012*z**2 - 13838168*z - 27284320 = 0.\nAnswer: -24361, -140, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 876 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) be the first derivative of -j**5\/30 - j**4\/12 + 5*j**2\/2 + 9. Let v(x) be the second derivative of c(x). Let d = 2 + -5. Determine v(d).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -7, 0.16, 7, 1\/1704?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 13139728499 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 23268466?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert 6.849033 hours to minutes.\nAnswer: 410.94198","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 7 a factor of 105?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {n: 1, k: 2, x: 1, g: 2, i: 2}. What is prob of sequence gn?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, -1191, -3, 1 in increasing order.\nAnswer: -1191, -3, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 295490443 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 12033, 47850, 107435, 190788, 297909?\n\"Answer: 11884*y**2 + 165*y - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -592*n**2 + 0 - 18 - 28.\nAnswer: -592*n**2 - 46","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = -p**3 + 10*p**2 + 13*p - 14. Let g be r(11). Suppose g*b - 2255 = 1337. What is the tens digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = 2*w**2 + w - 2. Let r be y(-2). Let s = 11 + 22. Let c = s - 34. What is the closest to -1\/2 in r, c, 1\/8?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) be the first derivative of 25*t**6\/9 + 8*t**5\/3 - 23*t**4\/6 - 76*t**3\/45 + 44*t**2\/15 - 16*t\/15 - 4. Find g, given that d(g) = 0.\nAnswer: -1, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = -l**2 - 14*l - 4. List the prime factors of j(-10).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:05 PM and 10:27 PM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1\/1803 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {j: 4, b: 1, g: 2}. Give prob of sequence gjjg.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d + 0*j - 12 = 5*j, -2*j = -3*d + 12. Suppose 5*z - 75 = d*u, -3*u - 48 = -2*z - z. Let l = -1 + 23. What is the greatest common factor of z and l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*x + 30 = 4*c - 6*x, -5*c + 5*x + 55 = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -1\/5, 0.03, 0.4, 14\/3, -3\/4, -0.42?\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 43*w - 46*w - 6 = 0. Let u be -4 - (2\/w + -12). Suppose 6 = h - 10. Solve -3*t = 5*k - 10, 5*k + u + h = 4*t for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be -1 - (0 - -1)*-1. Let x = -0.58 - -4.28. Let p = x - 0.7. Sort p, b, -0.2 in decreasing order.\nAnswer: p, b, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.096 + -1.096. Let g = 0.1 + -2.1. What is the closest to -0.2 in g, 5, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 494412?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -291 = -16*j + 19*j. Let m = 97 + j. Suppose m = 5*s + 11 + 29. Which is smaller: s or -7?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be -1 - -2 - (23 + -22). Suppose 0 = 12*c - s*c - 48. Suppose -5*t - 4 = 4*z, 0 = 5*t - 2*z + z - 1. Sort -2, t, 2, c.\nAnswer: -2, t, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 713 is divided by 38.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = -182*g - 551. Calculate l(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/(-2)*((1584\/84)\/33)\/(-63)?\nAnswer: 2\/147","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 15.7392 + -12.7392. Let j = -101\/3 + 33. What is the nearest to 1\/4 in j, 1\/5, -6, i?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) be the third derivative of -n**6\/240 - n**5\/20 - 5*n**4\/8 - 8*n**2. Let f(v) be the second derivative of r(v). Give f(-6).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-z**2 + 2*z**2 - 5*z**2)*((-5 - z + 5)*(-1 + 2*z + 1) + (1 - 5 + 2)*(5*z - 2*z**2 - 5*z)) to f*z**3 + h*z + j + i*z**4 + q*z**2 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find f, given that 5*f**2 - 1105*f + 1100 = 0.\nAnswer: 1, 220","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = 14*v - 93. Calculate i(5).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -5 + -13. Let s = g + 13. Sort 2, 3\/4, s in decreasing order.\nAnswer: 2, 3\/4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 3\/25 of a hour?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put 66, -90, 2\/123 in ascending order.\nAnswer: -90, 2\/123, 66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 47255.\nAnswer: 5, 13, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*u - 4*h = -3*u + 19, 5*u - 2*h = -7 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 32 and 346440?\nAnswer: 1385760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -11 - 202244?\nAnswer: -202255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -13021.282 rounded to the nearest 10?\nAnswer: -13020","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + ((sqrt(28) - sqrt(252)*4)\/(2*sqrt(256)) - (-2 + sqrt(847)*2 + -2)).\nAnswer: -363*sqrt(7)\/16 + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 1 + 2*r)*(-r**4 + 5*r**3 - 5*r**3) + 2 + 4 - 4*r**5 + 2*r**5.\nAnswer: -4*r**5 + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8*y**2 + 698641*y - y**2 - 698641*y.\nAnswer: 7*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4*i + i + 0*i - 4*i - 2*i + 3*i + (-1 + 1 - i)*(-2 + 4 - 4).\nAnswer: -4*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 898 a factor of 218215796?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 0.15 * 17.2\nAnswer: 2.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 2 a factor of 67\/4 - (-2)\/8*1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.0574357 and -0.37.\nAnswer: -0.021251209","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -57 (base 14) to base 12\nAnswer: -65","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = -s + 17. Let k be a(7). Calculate the greatest common divisor of k and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 20, 37, 52, 59, 52, 25?\n\"Answer: -d**3 + 5*d**2 + 9*d + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*f + 5*j = 45, 0 = -5*f + 14*f - 14*f - 2*j - 48 for f.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -129050, -258031, -387012, -515993?\n\"Answer: -128981*s - 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from aalaaall.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1411527557 is divided by 1861.\nAnswer: 1860","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -0.2815 + -11044787.764\nAnswer: -11044788.0455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 418946?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2791.7919 months to years.\nAnswer: 232.649325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*i**2 + 4*i**2 + 5*i**2)*(2*i**3 - 2*i**3 + 2*i**3).\nAnswer: 18*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is -2\/107353 <= -16\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 13\/(-39) - (-32)\/6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i + 2*w + 844 = 0, 2*w = 5*i + 3*w - 2086. Is i a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 10\/(-14)*2\/5. Let l = -9\/31 - -125\/217. What is the biggest value in l, -0.4, u?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (c**2 + 7*c**2 - 3*c**2)*(3 - 3 + 2*c**2) - 14*c**4 - 3*c**2 + 4*c**2 - 2 + 15*c**4.\nAnswer: 11*c**4 + c**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -60*q**4 - 223*q**3 - 20*q**2 + q + 114?\nAnswer: -1440*q - 1338","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/5, -1\/7, -57151, 3\/5, -0.1 in decreasing order.\nAnswer: 3\/5, 1\/5, -0.1, -1\/7, -57151","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (276 - 263) + 0 + -15?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 405 minutes before 4:55 PM?\nAnswer: 10:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) be the third derivative of x**6\/840 - x**5\/280 - 5*x**3\/3 + x**2. Let q(h) be the first derivative of v(h). Let q(o) = 0. Calculate o.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 500.00000629 - 500. What is c rounded to six decimal places?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 16 - 0. Let o = g - 12. Let w = 0.2 + 0. What is the closest to 0.1 in w, o, -1\/3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*(sqrt(196)\/(sqrt(4)*-1) - sqrt(49))\/(sqrt(700) - sqrt(700)*1 - sqrt(700)) + 4 + (sqrt(252)*-1*-1 - -6*1*sqrt(252)).\nAnswer: 4 + 208*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 2146 - 173. What is the hundreds digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = -32*r - 4537. Let k(u) = 22*u + 3025. Determine -10*k(p) - 7*v(p).\nAnswer: 4*p + 1509","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -33\/3727 and 4.\nAnswer: 3727","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) be the third derivative of 0 + 0*h**7 + 23*h**2 + 0*h + 1\/48*h**8 + 0*h**4 + 1\/3*h**5 + 0*h**6 + 0*h**3. What is the third derivative of s(o) wrt o?\nAnswer: 420*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify l\/(l*l*(l*l**(-10)*l)\/l*l*l)*l*(l\/(l\/l**(-1\/24)))\/l assuming l is positive.\nAnswer: l**(143\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-648 - 10*s + 648)*(s**2 + 3*s**2 + s**2).\nAnswer: -50*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from jfjfjjjkkfjkf. Give prob of sequence jj.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = c**2 + 7*c + 2. Suppose 4*q - 7 = 5. Suppose -4*g = -16, 3*o + 4*g - 6 = 16. Suppose -o*x + q*x = -7. Calculate i(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 385183.\nAnswer: 67, 5749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 120830?\nAnswer: 2, 5, 43, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 70*d - 19512 = 64*d. Let q = d + -1487. What is the tens digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 18081 and 323400?\nAnswer: 39778200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 108649627 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 1  (b) -86  (c) 4  (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = 37*x. Let p be q(2). Suppose -2*t + p = -0*t. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.0566163 - 8.0566223. Let n = -8 - p. What is n rounded to 6 decimal places?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -60 - -80. Let q be (3\/5)\/(84\/l + -4). Solve -8 = 2*z, 28 = r - 5*z + q for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 0.4  (b) -574  (c) -1\/14  (d) 4  (e) -0.7  (f) 3  (g) 0.23\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 59, -1058, -4097, -10018, -19781, -34346, -54673?\nAnswer: -81722","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((-332)\/8)\/(2\/(-4)). Suppose 142 = 5*l - q. Suppose 2*i - 113 = l. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4 - (-3 + -5 + 3 - -2)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = -k**2 + 6*k - 3. Let d be s(5). Suppose -3*g - 5*o + 15 = 0, -10*g + 8*g - 5*o = -15. Sort 4, g, d.\nAnswer: g, d, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 12223 (base 9) to base 11\nAnswer: 6187","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*b**3\/3 + 34*b**2\/3 - 18*b - 30 = 0. What is b?\nAnswer: -1, 3, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -671.9393 + 672. Let s = -5.9393 - w. What is the biggest value in s, 0.1, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (5 - 5) + 15 - (-136 - -128)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1017 is divided by 64.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = 17*m + 1. Let z(g) be the second derivative of 2*g**3\/3 + 9*g. Suppose 4*q = -2 - 6. Determine q*w(v) + 9*z(v).\nAnswer: 2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 89*c + 46*c**3 - 89*c.\nAnswer: 46*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2*s + 2 - 2)*(4*s**3 - 3*s**3 - 3*s**3) + 2 + 166*s**4 - 165*s**4 + 3*s**3 - 7*s**3 to the form n*s + h*s**2 + q*s**4 + a + k*s**3 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xo when two letters picked without replacement from oxxowoooonnxn.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o + 2*p = -5*o + 11, -4*p + 19 = 5*o. What is the remainder when ((-20)\/(-3))\/(2\/3) is divided by o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 313 minutes after 11:18 AM?\nAnswer: 4:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -9, -3.\nAnswer: -9, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 276*w**3 - w**2 + 85?\nAnswer: 1656","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -152.959 + 153. Let f = 0.159 + t. Let b = 0.02 + -0.08. What is the nearest to f in b, -1\/9, -3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2044?  (a) 2\/7  (b) -0.5  (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = -2*b + 1. Let q(f) = f**2 - 2*f + 1. Let m(t) = g(t) - q(t). Let z(i) = -3*i**2 + 18. Determine m(z(j)).\nAnswer: -9*j**4 + 108*j**2 - 324","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -4  (b) -1\/8  (c) -1  (d) 2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 115\/576 and -57\/5814368?\nAnswer: 104658624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 18*w**3 - 198*w**3 - 178*w**3.\nAnswer: -358*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = -3*s**2 + 0*s**2 + s**2. Let u(t) be the second derivative of -t**4\/12 + 5*t. Give u(k(v)).\nAnswer: -4*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Round -20085.472 to the nearest one thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -21 = -3*b - 9. Suppose -o + 4*t = -4 + 13, 4*o = b*t. What is the second derivative of 3*j**4 - 3*j**4 - o*j + 5*j**5 + 0*j**4 wrt j?\nAnswer: 100*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2*12\/36)\/(1*(-4)\/138).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -134242849 + 1?\nAnswer: -134242848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -110000011001100011101011 + 11?\nAnswer: -110000011001100011101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -13 - (-19 - -8) - -9.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from mpmmpxmmmmxqmm. Give prob of picking 2 m and 1 p.\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 1, -1, 6\/7, 122, 0.7?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 5418\/19 or 285?\nAnswer: 5418\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is -3 - 2030\/(-2 - -1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w + t = 3*t + 10, w = 3*t + 15. Are 6\/7 and w unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.4*-4.\nAnswer: 1.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = -473*c + 2. Let y be d(-1). Suppose y = 4*k + u, 2 = -2*u - 0. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 87047\/3 - 29389. Let f = 373 + u. Sort 43\/5, -3, f in increasing order.\nAnswer: -3, f, 43\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = -2*r**3 - 3*r**2 - r - 2. Let q(n) = 2*n**3 + 3*n**2 + n + 1. Determine -3*p(f) - 4*q(f).\nAnswer: -2*f**3 - 3*f**2 - f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 6911088 to the power of 1\/2, to the nearest integer?\nAnswer: 2629","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand -31*x**4 - 182*x + 182*x - 4*x**4 + 18*x**2 + 6*x**4 - 11*x**2 + (-x**3 + 0 + 0)*(0 + 0 - x) - x - 3*x + x**4 + 3*x.\nAnswer: -27*x**4 + 7*x**2 - x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 7 + 1 + (23 - 10 - 19 - 17)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*s + s**3 - 5*s)*(-2 + s + 2) - 2*s**2 + 2*s**2 - 2*s**4 - s**3 + s**3 + 2*s**4 + s**2 - s**2 - 2*s**4.\nAnswer: -s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r be -15*(-2 - 6\/18). Let w(m) = -m**3 - m**2 + 3*m - 4. Let z be w(-3). Solve -21 = 4*j + 5*o, r = 5*j - z*o + 5 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 w and 2 k when three letters picked without replacement from {w: 2, k: 2, e: 1, v: 1, a: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.2?  (a) -0.8  (b) -1  (c) -0.3  (d) 2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-154890)\/(-36141)*336\/(-20).\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {s: 4, p: 1, v: 1, k: 1, c: 6}. Give prob of picking 1 v and 1 c.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 n and 1 b when two letters picked without replacement from bnb.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 6\/71 + 171\/497. Let q = -4 - -6. What is the nearest to q in k, 0, -2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((m\/m**6)\/m*m)\/m**3)\/(m**(1\/3)*m*m**(-12\/5)*m) assuming m is positive.\nAnswer: m**(-119\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 34*x - 271 = 143 + 28 for x.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y - 57 = -37. Let t be 5\/y*(-3 + 4 - 5). Which is bigger: -5 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 2245990362 and 1419.\nAnswer: 1419","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -655308 divided by -334.\nAnswer: 1962","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 10604 or 10625?\nAnswer: 10625","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*1*sqrt(65))\/(sqrt(20)*-3).\nAnswer: sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 4110734 to the nearest integer?\nAnswer: 2027","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g + g + o + 22 = 0, -o = -2. Let a = -3 - g. Let n = a - -2. Solve 0 = 4*b - 4*m + n*m - 2, -b - m + 2 = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -2\/17 or -9.5?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -7\/3 in 0.2, -2\/7, -2\/9, 8, 9?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-4)\/14)\/(449436\/40334)?\nAnswer: -1\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4489 - 6370 = -42*s - 6795 for s.\nAnswer: -117","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 p, 1 v, and 1 h when three letters picked without replacement from {p: 3, c: 1, r: 3, h: 5, v: 1, l: 1}.\nAnswer: 15\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 513 + -477. Suppose 2*w - 66 = -2*g, -2*w - g + 57 = 4*g. Is w smaller than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {o: 3, a: 3}. Give prob of sequence ao.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (40*t - 311 + 311)*(3 + 1 - 3)*(-2 + 5 - 5).\nAnswer: -80*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 32473387 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = -b**3 - 5*b**2 - 5*b + 4. Let h = 21 + -17. Suppose 2*u + 4*g = -24, h*g = -3*u - 31 + 3. What is the units digit of k(u)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2076 is divided by 19?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -1, 93, 345, 833, 1635?\n\"Answer: 13*i**3 + i**2 - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 11\/2 of a gram in milligrams?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*t + 14*r = 48, -5*t = -124*r + 123*r + 22 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -20 divided by 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -242 + 242 - 16*f.\nAnswer: -16*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -7 - (-21 + (2 - (-3 - 0)))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*o + 745 = 3*a, -a + 0*a + 4*o = -237. What is the hundreds digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -128, -129, -128, -125, -120?\n\"Answer: i**2 - 4*i - 125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4478 is divided by 28.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 94, 289, 606, 1039, 1582, 2229, 2974, 3811?\nAnswer: 4734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 6871 + -5?\nAnswer: 6865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 1 - -717?\nAnswer: 720","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 643, 1280, 1913, 2542, 3167, 3788, 4405?\n\"Answer: -2*o**2 + 643*o + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -6*i + 2059 + 497. Suppose 0 = 5*a + 4*w - 1644, -5*w = -3*a + 553 + i. Let b = 621 - a. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"}
{"text":"Question: Sort -0.183, -0.15, -24, -5.\nAnswer: -24, -5, -0.183, -0.15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 53*v**2 + 93*v**2 - 37*v**6 - v**2 + 111*v**2 + 61*v**2 wrt v.\nAnswer: -4440*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 29526427*r - 52734005 wrt r.\nAnswer: 29526427","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 349*m + 10666 = 5709 - 11795 for m.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-54)\/(-210))\/(-2*81\/270).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -581911157*u + 416863048 wrt u.\nAnswer: -581911157","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -235*u = 13*p - 234*u + 25, 28 = 2*u for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is -23715 at least -33999?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 2 - 2.5. Let h(g) = -g**2 - 16*g - 14. Let s be h(-15). What is the closest to 0 in -3\/2, q, s?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -146, -1387, -4876, -11741, -23110, -40111, -63872, -95521?\nAnswer: -136186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 67 is divided by 26.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:25 AM and 7:09 AM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 171 divided by -5.\nAnswer: -171\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 8493, 8556, 8591, 8598, 8577?\n\"Answer: -14*r**2 + 105*r + 8402","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) be the third derivative of 113*f**4\/6 + f**3 + 19*f**2. Let k be w(2). Suppose z - 520 = 4*m + k, -2*z - 5*m + 2795 = 0. Round z to the nearest 100.\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -1\/3  (b) -6448  (c) 1626\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:07 AM and 3:11 PM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 1726866975 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 132 - 132. Let h(p) be the first derivative of 0*p**3 + 3 - p**2 + r*p - 1\/4*p**4. Find the second derivative of h(w) wrt w.\nAnswer: -6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1800 - 212*k - 1800)*(2*k - 4*k - 5*k).\nAnswer: 1484*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -100110 (base 2) to base 3\nAnswer: -1102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 1056500 to the power of 1\/6, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.48 + 24.48. Let r = 5 - j. Let g = -19.00000048 - r. What is g rounded to 7 decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -61\/144 and -93\/32?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 4 - (1 - 1)\/(-3). Suppose -w*j = 3*d - 160, 5*j - 223 = d - 42. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = -6. Let c(w) = w**2 - 9*w + 10. Let b be c(7). Let h = -2 - b. Let o(l) = -l - 5. Let j(y) = h*x(y) - 3*o(y). Differentiate j(t) with respect to t.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 5 + (-5 - 0) + 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 280 = -27*z + 37 for z.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = 182*n - 1360. Give s(6).\nAnswer: -268","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*i**2 + i**3 - 2*i**2 - i**2 + i**2 - 2*i**3 + (-3 + 3 - 2*i)*(4 - 4 + 2*i**2) + 4*i + i**3 - 4*i - 83*i**3 - 67*i**3 + 33*i**3.\nAnswer: -121*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = 4333*y**2. Let k(b) = -4*b. Calculate k(j(z)).\nAnswer: -17332*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*t = -192 - 114. Let k = -30 + t. Factor 4*g**5 + g**4 + 0*g**4 - 8*g**2 - 8*g**3 + 4 + 2*g**k + 4*g + g**4.\nAnswer: 4*(g - 1)**2*(g + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*w**2 - 4*w**2 + 5*w**2 - 3*w**2 + 10*w**2 + 9*w**2 - 2 + 2 - 2*w**2 + (-w + 3*w - 4*w)*(2*w - 5*w + w) + 0*w + 0*w + w**2.\nAnswer: 23*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -n**5*t + 3376*n**4*t - 3668*n*t + 2*t + 2 wrt n?\nAnswer: -20*n**3*t + 40512*n**2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 790 = -2*k + 818. What is the highest common divisor of 287 and k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 55*j**3 + 38*j**3 - 60*j**3 - 10*j**3 + 31*j**3 - 1.\nAnswer: 54*j**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*m + 10. Suppose -5*l - 97 = 2*k - 5*k, -4*l = m*k - 137. Let q(g) = g**2 + 51*g + 55. What is the remainder when q(0) is divided by k?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 1\/15, 2\/9, -376?\nAnswer: -376","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -9*y**6 + y**2 + 17*y**6 - 7*y**2 wrt y?\nAnswer: 960*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine f, given that -5 + 4*f**3 + 8*f**2 + 9 - 4 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 105019 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is (-4 + -2 - -4) + 2 - -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 4403346?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 7350460908 from 3573.\nAnswer: -7350457335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((-1)\/((-12)\/(-9)))\/(5\/5). Let q = -104 - -103.6. Let n = 3.9 + 0.1. Sort q, n, h in descending order.\nAnswer: n, q, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -10321 + 19523. What is the hundreds digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0 + 0.3. Let m = -682 - -26596\/39. Let r = -68\/195 + m. Sort -5, r, v, -1\/4.\nAnswer: -5, r, -1\/4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*b = -3*o - 4, 4*o + 0*o = 5*b + 5. Is 21 a factor of (-3717)\/(b + -6) + 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11408 = -1022199*b + 1022323*b for b.\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-26 + 251*t + 88 - 32 - 30)*(-28*t - 2*t + 4*t).\nAnswer: -6526*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve u**3 - 1227*u**2 + 501843*u - 68417929 = 0 for u.\nAnswer: 409","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -3 - -5. Suppose 5*x + 4*n = 82, 240*n + 41 = 4*x + 235*n. Put d, 4, x in increasing order.\nAnswer: d, 4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*t + 58 = 4*m + 7, 5*t + 2*m - 53 = 0. Calculate the remainder when t is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:15 AM and 9:39 AM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {n: 2, r: 2, d: 3, y: 4, z: 2}. What is prob of sequence rz?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 690 is divided by 115?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + sqrt(5))*3 + -2 + -3 + sqrt(5)*2 + -2.\nAnswer: -7 + 5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -4 divided by -35\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) be the second derivative of 4*v**4\/3 + v**3\/3 + 13*v**2\/2 - 10*v. Let b be a(6). Let d be 4*b - (-2 - -6). Round d to the nearest 1000.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*j = 4*j + g + 26, 0 = -2*g - 2. Calculate the remainder when 18 is divided by j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -22.2 times 0.147?\nAnswer: -3.2634","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 406, 853, 1286, 1699, 2086, 2441, 2758, 3031?\nAnswer: 3254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 13\/4 of a meter in millimeters?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25 = -2*y - 5*o, 0 = -2*y + 2*o - 10. Let s(v) = 46*v**2 + 195*v + 46. Let q be s(-4). Solve 0 = q*h - y*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 40693432 less than -49.7?\nAnswer: -40693481.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = i**3 - 10*i**2 + 12*i - 11. What is x(6)?\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is -1\/6 greater than 1306?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from mcrhkkhc. Give prob of sequence kkhr.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 24\/6*-248*20\/(-640)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = -33*g**2. Let j(c) = -76*c**2. Calculate j(b(s)).\nAnswer: -82764*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from pppplpplppplpppp. What is prob of sequence pl?\nAnswer: 13\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -23417612 divided by -4.\nAnswer: 5854403","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -3054*b*x**3 - 10*b*x**2 - 16*b*x + 2 wrt x?\nAnswer: -18324*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = 281*h - 1098. Determine v(4).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m - 2*b = 241787, 0 = 4*b + 540 - 560. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 99086 to the power of 1\/3, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*u - 56 + 68. Solve -3 = u*j - j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) be the third derivative of f**4\/24 + 19*f**3\/6 + 4*f**2. Let l be j(-13). Suppose 3*a + 6 = l*a. Solve 11 = -3*b + a for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -0.7 - 0.3. Suppose -1674*t + 1197*t - 1908 = 0. What is the closest to a in -2, -0.4, 8, t?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*y**3 - 745 + 401 + 344 - 3*y.\nAnswer: -5*y**3 - 3*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Express -3*c + 20*c - 12*c + 18*c in the form t + j*c and give j.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9073*y + 9022*y = 816 for y.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 8397 + -361074\/43. Let u = -30\/10969 + 1114319\/2358335. Let t = y + u. Which is the closest to t?  (a) -1\/6  (b) 2\/3  (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = 5*c**3 + 18*c**2 - 8*c - 4. Let h be z(-4). What is the fourth biggest value in -125, h, 4\/5, 2\/11?\nAnswer: -125","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) 11  (b) 1  (c) -23.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = -v**3 - 4*v**2 - 4*v + 1. Let y be p(-3). Suppose 2*i + 0*i = -3*t + 628, -5*i - 5*t = -1570. Let a = -311 + i. Sort -1, y, a, 0 in decreasing order.\nAnswer: y, a, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -356 - -232. Let k = c - -124.000187. Round k to 5 dps.\nAnswer: 0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = 91*k + 100. Let u be z(-1). Let j(m) = -4*m - 2 + m + 2. Let h(i) be the first derivative of -13*i**2\/2 - 1. Give u*j(c) - 2*h(c).\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 16 + -10. Let c = 0 - 0. Let n = q + c. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -6 - -4. What is the common denominator of (-292)\/(-48) - (0 + i) and -101\/10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-2)\/(-4))\/((-3)\/4). Let j(x) = -x - 12. Let g be j(-11). Which is smaller: z or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-11)\/((-33)\/(-86))*8\/(-10)*1665\/(-444)\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 49 is divided by (-3)\/(-3) + -2 - -25 - 2.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 13747, 27517, 41299, 55093, 68899?\nAnswer: 82717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 90870, 90871, 90872?\nAnswer: 90873","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2067, 4135, 6205, 8277?\nAnswer: 10351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 366\/1464*16\/26.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -83 * 1.2\nAnswer: -99.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = t**3 - 68*t**2 - 29*t + 2091. Let r be b(68). What is the greatest common factor of 13328 and r?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 (base 14) in base 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 2206743 to the power of 1\/4, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.002684 to 3 decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -0.01 + -0.99. Let u = -60 + 61. What is the closest to u in 0.4, 20, a?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -9.69803868 - -11.298039. Let t = -1.6 + i. Round t to seven decimal places.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = -z**3 - 7*z**2 - 7*z - 19. Let l be v(-6). Let m = -12 + 2. Let d = m - l. Solve -6*r = -d*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -11*q**2 - 8*q**2 + 2*q**3 + 0*q**2 + 22 - 5*q**3 wrt q?\nAnswer: -9*q**2 - 38*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = -31*y**3 + 6508*y**2 + 420*y - 2. Determine f(210).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve m + 64*j - 15 = 69*j, m - 2*j - 3 = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 y and 1 f when three letters picked without replacement from yffhh?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6064307.\nAnswer: 6064307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in 0, -0.3, 1\/108?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: (4 - -13) + -19 + 11 + -4\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.01 times 0.75?\nAnswer: 0.0075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 300 + -300.2. Let j = 88 + -705\/8. What is the closest to -2\/7 in j, d, 3\/4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 18979 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(847) + (sqrt(847) + 0)*-6 - (-5*(sqrt(847) + 0))**2.\nAnswer: -21175 - 55*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-2)\/6 - 7\/(-3). Let f(z) = 18 + h*z - 5*z + 4*z. Calculate the remainder when 34 is divided by f(0).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -5 + 3. Let o = -28\/131 - -346\/393. Which is the nearest to o?  (a) -0.06  (b) -0.1  (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = 3*y**3 - y. Suppose 12*p + 10 = 7*p. Let l be 6\/(-4)*p*4\/12. Let v be h(l). Solve -v*s - s - 15 = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0 - 0. Let a = -39 - -46. Suppose -3*s + 0*s = -5*k + 71, k - 3*s - a = 0. Solve x = -5*q + k + 9 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 150 and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*t = -4*y + 4, -3*t + 2 = -2*y - 4*t for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = 9475*w - 56848. Let j be b(6). Factor -10*v - 1\/2*v**3 - 4*v**j - 8.\nAnswer: -(v + 2)**2*(v + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*l + 5*l - 48 = -9*l. Solve -14 = 2*h - 2*a, -4*h + l*a = 8*a + 10 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -37, -3, 5 in decreasing order.\nAnswer: 5, 3, -3, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -4.2+-10103794434\nAnswer: -10103794438.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -24.20657 + 24.107. Round d to 2 decimal places.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 35 = -5*d + 4*g - 12, 0 = -2*d + 5*g - 29. Let w = -5 - d. Solve z = w*z - 3 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -7 - 8 - (-61 + 45)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 199617713 a multiple of 101?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-q + 2 - 2)*(10 + 35 + 7) to x*q + a and give x.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 23*f - 27*f + 3*g = -54, 54 = 5*f + 3*g. Suppose 3*c - 6 = -3. Factor 5*l**2 + 3*l**2 + f*l**3 + 24 + c + l**4 + 38*l**2 + 60*l.\nAnswer: (l + 1)**2*(l + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 285080.\nAnswer: 2, 5, 7127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -49 - -49. Suppose j = -0*t - 4*t + 68. What is the greatest common divisor of 34 and t?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) be the first derivative of -k**6\/180 - 25*k**3 - k**2\/2 - 38. Let f(x) be the third derivative of p(x). Let i(o) = o**2. Give i(f(n)).\nAnswer: 4*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 194 + -205.9. Let d = -12 - r. Which is the closest to d?  (a) -2\/9  (b) -1\/2  (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 2  (b) -3\/4  (c) -3  (d) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r + 75 = u - 6, 5*r = -2*u + 417. Let i = r + -82. Factor -12*l**3 - 54*l**2 + l**i + 6*l**3 - l**2.\nAnswer: -5*l**2*(l + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 0.5  (b) 1\/8  (c) -18  (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 1285519368*i**3*v**5 + 64750*i**3*v - 4219*v**2 wrt v?\nAnswer: 77131162080*i**3*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = 72*s + 1177. What is a(-20)?\nAnswer: -263","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 818252083 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 312391 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 55605 to the power of 1\/2, to the nearest integer?\nAnswer: 236","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -148679363 rounded to the nearest ten thousand?\nAnswer: -148680000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence wxq when three letters picked without replacement from mxweqqxdd.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 991 and 160.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = -13937*f + 27874. Calculate i(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-320)\/(-96)*(-18)\/(-5)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -1*(-3 - -4) - -28. Let f = -31 + y. Which is bigger: -5 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 6.141461ml?\nAnswer: 0.006141461","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 6469  (b) -5  (c) -231\/2  (d) 2\/13  (e) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 25 divided by -17\nAnswer: -25\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 33 + -12. Solve 3*f = -3*w + b, 2*w - 20 = -2*w - 2*f for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-14)\/(-8) + (-13)\/(-52). Suppose 1 + 6 = s + 5*n, -5*s = a*n - 12. Let h be 10 - (-2)\/(s\/(-2)). Is 6 at most h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 331 minutes before 3:47 AM?\nAnswer: 10:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:57 AM and 5:15 PM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = -3*q - 13. Let o be r(-8). Suppose -5*z = -o*z. Solve z = 2*f - y + 11, 5*f - 3*y + 35 = y for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = -y**3 + 16*y**2 - 286*y - 15. List the prime factors of w(-32).\nAnswer: 7, 11, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (4*i - 3 + 3)*(1 + 15 - 3)*(-4*i + 6*i + 0*i)*(-7 + 7 + 2*i) in the form q*i + c*i**2 + f*i**3 + g and give f.\nAnswer: 208","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 52\/2 + (-12)\/4. Let p(g) = -6*g**3 - 66*g**2 - 70*g - 54. Let m be p(-10). What is the highest common factor of m and u?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -4450, -3514, -1970, 182?\n\"Answer: 304*x**2 + 24*x - 4778","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2420722 is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (0 + -1)*74\/(-37). Solve k*l = 3*f + 10, 6*f = f - 2*l - 22 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 1\/6  (b) -258  (c) 0.1  (d) -28\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand g**5 + 0*g**5 + g**5 + 0*g**5 - g**5 + 3*g**5 + (3 - 3 + g)*(-g**4 - 3 + 3) + 36*g**5 + 3*g**5 - 4*g**4 - 45*g**5.\nAnswer: -3*g**5 - 4*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/7 in 0.1, -0.02, 6.7, 0.77?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = -i**2 + 5*i - 4. Let h be t(5). Let m = h - -3. What is the remainder when 19*1*(m + 2) is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i + 24 = 3*i. Suppose 5*n + 5*b + 10 = 0, b = 3*n - 5*n. List the prime factors of i\/9 - n\/3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be ((-6)\/(-18))\/(2\/12). Let x(f) = -f - 3 + 0 + 3 + 10*f**m. Is x(-1) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-873 - -863)*10\/60*6\/2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = 2*i + 8. What is r(8)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-4)\/((-16)\/(32\/(-4))).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 320083.183 times 0.1\nAnswer: 32008.3183","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 41265 = 2542*x - 1625*x for x.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in thirty-one fifths of a decade?\nAnswer: 744","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert -633587 (base 13) to base 5.\nAnswer: -1043232423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 21, 109, 265, 495, 805, 1201, 1689, 2275?\n\"Answer: z**3 + 28*z**2 - 3*z - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -18 - -20. Let r(x) = 4*x**2 - x. Let d be r(-1). Suppose -2*g + 3*g = -t - 3, -d*g - 9 = 2*t. What is the closest to -0.1 in 0.5, t, i?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2161*g + 2158*g = -139812. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -52 + 27. Let n be (-30)\/j*(-10)\/4. What is the remainder when 41 is divided by 240\/18 - 2\/n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 0 + 4)*(u + 0 + 0) + (0 + 0 + u)*(-5 + 20 - 3).\nAnswer: 13*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 8573\/175 - -3661939\/5600. Let s = -700 + l. Let h = -115061\/12 - -9599. Find the common denominator of h and s.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {o: 3, s: 2}. What is prob of picking 2 s?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.7 + -0.3. Let i = 1.1 + s. Put -3\/2, i, 2\/21 in decreasing order.\nAnswer: i, 2\/21, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1335\/7 + 191. Factor -2\/7 - q*t + 4\/7*t**2 - 2\/7*t**5 - 2\/7*t**4 + 4\/7*t**3.\nAnswer: -2*(t - 1)**2*(t + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6.7570179 rounded to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 5\/26 + 79\/130. What is the nearest to 0.1 in 1\/8, w, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.54 times 33\nAnswer: -17.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2079812159 to the nearest integer?\nAnswer: 45605","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = 7*x**2 - 3*x - 1. Let d(a) = -a**3 - 6*a**2 + a + 5. Let y be d(-6). Let q be 0 + 1*(y - -6). Let s(l) = -l**2 + l. What is q*s(g) + o(g)?\nAnswer: 2*g**2 + 2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -65\/32 and 55\/177888.\nAnswer: 177888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is -142907 < 3565?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 436138 is divided by 90?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -12.9 + 13. Which is the nearest to 0.1?  (a) x  (b) -3\/2  (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 576 is divided by 34?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 7137 + -1102. List the prime factors of m.\nAnswer: 5, 17, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -3, 484, 418, 1 in increasing order.\nAnswer: -3, 0, 1, 418, 484","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = -u**3 + 9*u - 1. Determine s(2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*u**5 + 4160940*u**4 + 12482865*u**3 = 0 for u.\nAnswer: -3, 0, 832191","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 29*a**2 - a + 34*a**2 + a - 60*a**2.\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 17 a factor of 676?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -6546 or -6507?\nAnswer: -6546","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-1 - -12) + (4 - 8). Let q(v) = -3*v - 3*v + 2*v + k*v**2 - 4 - 2*v. Let m(x) = 4*x**2 - 3*x - 2. Give -5*m(a) + 3*q(a).\nAnswer: a**2 - 3*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -325748463, -325748466, -325748471, -325748478, -325748487, -325748498?\n\"Answer: -w**2 - 325748462","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-9 + 24)*(-63)\/(-15). List the prime factors of 35112\/x + (-4)\/3.\nAnswer: 2, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = -12 - n + 3 + 5 - 12. Let p be l(-20). Solve -p*r - 3*y = -4, 2*y - 5*y + 2 = 5*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1403998\/351 + 4000. Let g = -680\/3861 - v. Let f = 4.1 + 0.9. Which is the third smallest value?  (a) -2  (b) g  (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = -26*t**3 + 114*t**2 - 18*t. Let p(b) = 52*b**3 - 226*b**2 + 39*b. Give 13*j(l) + 6*p(l).\nAnswer: -26*l**3 + 126*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -1284.39 rounded to the nearest integer?\nAnswer: -1284","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -19*q**2 + 3621*q**3 - 18*q**2 + 35*q**2 + 15597*q**3 + 3409*q**3.\nAnswer: 22627*q**3 - 2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2178, -7180, -15010, -25668, -39154, -55468, -74610?\nAnswer: -96580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12*m + 34*m = -138 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2054641439?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.1 + 0.1. Sort k, -15\/8, -0.1, 2 in ascending order.\nAnswer: -15\/8, -0.1, k, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4*w**4 + 0*w**4 - 2*w**4 + (201*w**2 - 123*w**2 + 166*w**2)*(6*w**2 - 3*w**2 - 2*w**2).\nAnswer: 246*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 125 = 3*q - 8*q + 5*l, 2*l - 94 = 4*q. Let j = q - -259. Suppose -51 + j = 6*x. List the prime factors of x.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 472174360 and 12.\nAnswer: 1416523080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 1975, 1988, 2001, 2014, 2027?\n\"Answer: 13*t + 1962","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (9329\/(-38))\/((15\/(-3))\/10).\nAnswer: 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 765325 is divided by 15?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 45\/4 of a year in months?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {t: 1, y: 2, q: 1, m: 2}. Give prob of picking 1 y and 1 t.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1124329?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1404994 divided by -8.\nAnswer: -702497\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 345?\nAnswer: 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = -240*b - 143. Let r(m) = 65*m + 58. Let i be r(-1). What are the prime factors of y(i)?\nAnswer: 29, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000020101 to 7 decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 6\/(-20)*10\/(-36). Let a = -6 + -15. Let d be (-36)\/(-140) + (-3)\/a. What is the closest to -0.1 in d, -0.4, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 219983207 to the nearest integer?\nAnswer: 604","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Factor 1221010*t**2 - 1221010*t**2 - 1728 - 4*t**3 + 432*t.\nAnswer: -4*(t - 6)**2*(t + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 17 + -7. Let k = m + -8. Suppose 2*p = 5*q - k*q - 10, 4*q = 3*p + 13. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (10\/(-2))\/((-452)\/1356).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -1534 + 13790\/9. Let h = -49 - -9. Find the common denominator of l and (-26)\/33 + (h\/(-12))\/(-5).\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 1983  (b) -14\/3  (c) 2  (d) -18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v = 4*r - 8, -4*v = r - 10 - 1. Solve -14 = -3*d - 4*y, -6*y + v*y + 8 = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 41 * 1499.\nAnswer: 61459","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**(1\/6)*k**(-2\/13))**(2\/105)\/(k*(k**7\/k)\/k*k**2)**(1\/20) assuming k is positive.\nAnswer: k**(-1637\/4095)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Divide -128235 by 5.\nAnswer: -25647","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-84)\/(-1344)*2\/(-2)*((54 - 7) + -9).\nAnswer: -19\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*m + 5*q - 38 = 7*m, 0 = 4*m + 2*q + 24 for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/3, -48, 0.03, -0.08, 3.\nAnswer: -48, -2\/3, -0.08, 0.03, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-2)\/(-8) + (-69902)\/32880. Let r = -2\/2055 - j. Calculate the common denominator of 43\/9 and r.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -16404 + -10?\nAnswer: -16414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -17 - 97. Let b = 564\/5 + q. Is b not equal to 2\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 106 * 1.5\nAnswer: 159","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 0 + -7 + (-30 - -34) + (18 - 1)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -41082, -41166, -41220, -41244?\n\"Answer: 15*v**2 - 129*v - 40968","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 145871649*s - 36467911*s - 36467913*s - 36467913*s - 36467914*s.\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (86 + 7 + 2)\/1. Suppose 90*d + 55 = j*d. Solve 3*v + d = -4*n, v - 3*n - 13 = 5 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d - 11 = 2*x, 2*d + 5*x = -d - 30. Let v(n) = n**2 - 2*n + 1. Suppose 0*k + 4*k - 12 = 0. Let s be v(k). Sort 0, d, s in descending order.\nAnswer: s, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 15698 or 15700?\nAnswer: 15698","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = -i**3 + 12*i**2 - 10*i - 9. Let u(l) = l**3 - 13*l**2 - 12*l - 17. Let t be u(14). Let p be v(t). Solve 2*y - 5*h = 21, -7 - 4 = -p*y + 3*h for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1\/2926 + 64375\/8778. Calculate the common denominator of -139\/1392 and f.\nAnswer: 1392","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12319 = 20*s + 2839. Calculate the least common multiple of 4 and s.\nAnswer: 948","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -60*a - a = 15*a - 1976 for a.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = 46*m**3 + m**2 + 2*m - 2. Let i be v(1). Suppose u = -i + 25. Which is smaller: -21 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -30 in -2, -1\/2, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 47 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = b**3 + 3*b**2 + 2*b + 9. Let h be t(-3). Suppose -11 = -3*s + 1. Suppose -s*d = -h - 5. Solve 2*a + d*a - 12 = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*f + 3*u + 45, -299*u = -4*f - 298*u + 27 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 80 less than -1181.38900852?\nAnswer: -1261.38900852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -100122002 - 1?\nAnswer: -100122003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2302760 - 2302760 + 9*c.\nAnswer: 9*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2163*1 - (22 - 15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -171*j**4 + j**3 + 173*j**4 + 7*j**2 - 3 - 15*j**2 in the form t*j**2 + c*j**4 + q + z*j + u*j**3 and give q.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: (-3 - (6 - 0)) + 2 + 0\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -81\/5831312 and 9\/85424.\nAnswer: 110794928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 1285131785 a multiple of 527?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d = 2*k - 22, -3 - 1 = -4*k. Suppose 3*t = 2*t + 2*a - 8, 3*t - 16 = -2*a. Calculate the remainder when d is divided by t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:57 AM and 2:29 PM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Factor -l**4\/4 + 39*l**3\/4 - 81*l**2\/2 - 2187*l + 21870.\nAnswer: -(l - 18)**3*(l + 15)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 24719372, 49438746, 74158120, 98877494, 123596868, 148316242?\n\"Answer: 24719374*y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + (0 + sqrt(245) + 4 - (0 + sqrt(245) + (1*sqrt(245) - sqrt(245) - sqrt(245)) + sqrt(245)) - (1*sqrt(245)*2 + 3))*-5)**2*6.\nAnswer: -3360*sqrt(5) + 147096","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p + t + 34 = 0, -6*p - 20 = -7*p - 4*t. Let s be (-8)\/p*(-1 - -4). Let r be s\/(-6) + -1*20\/(-3). Solve 0 = 5*d + r + 18 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 405 = 8*g + g. Let q = -31 + g. Is q a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -194 - -50?\nAnswer: -144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 a factor of 19682?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 1234 - 638. Does 21 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (1380 - 745 + 2884)*(4*z + 2*z - 5*z)*(5 + 0 + 0) to t + m*z and give m.\nAnswer: 17595","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = -3*q - 1. Let d be c(1). Let v(r) = r**3 + 4*r**2 + 2. Let n be v(d). Suppose 0 = 5*k - 3 - 2. Which is bigger: n or k?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 701248 is divided by 125?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 32777 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q + 129 = 3*u, -2*u + 0*q + q = -91. Calculate the smallest common multiple of 18\/u*76 - 3\/(-2) and 3.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in twenty-six fifths of a litre?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 155026?\nAnswer: 2, 77513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-1 - 28\/(-12))*(-1008)\/952. Which is smaller: 2\/17 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -28 - -24.1. Let y = 4 + b. What is the closest to 1 in y, -1\/7, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.1 - 0. Let p = -0.2 + j. Let r = -319\/4 - -79. What is the closest to 1 in p, r, -4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m - 4*m = -2. Suppose 5 = m*b - 3. Suppose -2*d + 114 = d - b*a, 5*d - 161 = -3*a. Does 9 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7122 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = -g + 2*o, -1550*o + 33 = 2*g - 1545*o. Solve q = g*i + 7, 19 - 15 = q - 3*i for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6893692763.\nAnswer: 17, 547, 741337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 8602385 a multiple of 213?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -2.8 + 4.1. Let h = 0.3 - f. Let j = h + 1.0000032. What is j rounded to seven dps?\nAnswer: 0.0000032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-2)\/((28\/(-35))\/4). Suppose -9 = o*p - 99. Solve 0 = -3*i + 3, 0*i = 5*r - 4*i + p for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 91 - 86. Let v be 6 + (-1 + t)\/((-1)\/(-1)). Solve 3*f = 4*l + v, -3*l - 3*f + 0*f - 18 = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 24*s - 1 - 4*s - 120*s.\nAnswer: -100*s - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 2\/167  (b) 1\/3  (c) 1002  (d) -0.3  (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 36696120 and 547120?\nAnswer: 513745680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (2 + 2)\/(3 + -2). Find the third derivative of -s**p - 2*s**2 + s**4 + s**6 wrt s.\nAnswer: 120*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -73*q**4\/4 - 506111*q**3\/4 - 6933*q**2\/2.\nAnswer: -q**2*(q + 6933)*(73*q + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 112176 is divided by 1901.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 32491.\nAnswer: 32491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -16 + 40. Let a be s\/(-10) - 4\/(-10). What is the units digit of 6*(a - -1)\/(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (2*w**3 + 30*w**3 + 19*w**3)*(26 + 16 - 96 + 11) in the form k*w**2 + c*w**3 + m + o*w and give c.\nAnswer: -2193","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -79827 - -79853. Let g(n) = -n**3 - 3*n**2 - 7*n - 1. What is the remainder when g(-6) is divided by h?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -201 - -202. What is the common denominator of (-10 - y) + 11 - 42\/(-64) and -149\/36?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 446.0649ng to milligrams.\nAnswer: 0.0004460649","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) be the third derivative of 0 - 12*r**2 + 0*r + 0*r**3 + 13\/120*r**6 + 0*r**5 - 1\/2*r**4. What is the second derivative of u(z) wrt z?\nAnswer: 78*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*i**2 + 0 + 0 + (-i + 3*i - 3*i)*(4 - 2 - 3)*(0 - i + 0) + (-i + 4*i - 4*i)*(-i + 3*i + 0*i) - i - 9*i**2 + i.\nAnswer: -15*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 75 and 33037850?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -11200 + -1022?\nAnswer: -12222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 899 + 397 = 58*w - 38 for w.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 3 and 12693?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = 2*j - 1. Let b be (-44)\/18 - (-77 + 57 + 176\/9). Let k(s) = 0 + 10*s + 2 - 8. Determine b*k(q) + 11*a(q).\nAnswer: 2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -68621 + 68621.400065. Let r = x - 0.4. What is r rounded to 5 decimal places?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (60\/(-80)*2\/3)\/(107\/9416)?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.2, 2, -39, -4, 2\/5, 0.6 in descending order.\nAnswer: 2, 0.6, 2\/5, -0.2, -4, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 2\/(-5) - (-3 - 132\/55). Solve -o - 16 = -u*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 12328 and 145088.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 10 - 10. Suppose 52 = -p + 61. Suppose 0 = p*k - 8*k + 3. Which is the nearest to u?  (a) 0.1  (b) 1\/2  (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*t**5 + 0*t**5 + 2*t**5 + (495*t**2 + 461*t**2 - 1361*t**2)*(-6*t**3 + 3*t**3 + 2*t**3).\nAnswer: 407*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = -o**3 + 3*o**2 - o + 2. Let t be u(0). Suppose 645 = t*f - 401. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = -f - 14. Let u be z(-13). Let l be (2\/(-6))\/(2 + u)*-6. Is l*2\/(-12)*-1893 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(252)*-1 + 4 + sqrt(28)\/sqrt(4).\nAnswer: -5*sqrt(7) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 757632 to the power of 1\/5, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 2228105 a multiple of 187?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((m**(-10)*m)\/(m*m**(-1\/3)*m))\/(m\/(m**(2\/7)\/m))**(-2\/63))**(-41) assuming m is positive.\nAnswer: m**(21320\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 0.46  (b) 2\/31  (c) -8  (d) -17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i*i**(-2\/17)*i)\/i**(-4\/9))\/(i**(-5\/3)\/(i\/(i**(-5\/2)\/i))) assuming i is positive.\nAnswer: i**(2599\/306)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = -7*j**3 - 7*j**2 - 12*j - 27. Let l be r(-5). Let i = l - 683. List the prime factors of i.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 694750799 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 w and 1 j when two letters picked without replacement from {o: 1, w: 5, k: 2, j: 1, n: 1, c: 7}?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = -23392*s - 76. What are the prime factors of k(-2)?\nAnswer: 2, 11677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*j + 5*c + 90, 0 = j - 2*c + 3*c - 27. Let o = j - 5. What are the prime factors of o?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 113*d**3 - 104*d**3 - 10*d**3.\nAnswer: -d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 606 and 65751.\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = -3*b**3 - 12*b**2 + 7*b - 7. Let n(l) = -l**3 - l**2. Let v(u) = -4*n(u) + q(u). Determine v(7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-640)\/(-1120)*5\/(-10).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"}
{"text":"Question: Let y(m) be the third derivative of -m**7\/2520 - m**6\/120 - m**5\/15 - 89*m**4\/24 - 3*m**2 - 1. Let o(v) be the second derivative of y(v). Calculate o(-6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = -x**3 - 2*x**2 + x + 4. Let o be q(-3). What is the units digit of 1 + 1 - o\/(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -255 (base 9) in base 14?\nAnswer: -112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1944155.8157 + 5977628.18373. Let i = l - 7921866. Let u = -82 - i. What is u rounded to 4 dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*p - 82*q + 2204 = -76*q, -4*q + 466 = p. What is the greatest common factor of 2623 and p?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine n so that n**2 - 48090*n - 41300296 = 0.\nAnswer: -844, 48934","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = -4*a**2. Let k(z) = z. Let b(w) be the first derivative of -w**2\/2 - 6. Let y(d) = 5*b(d) + 3*k(d). Determine y(s(p)).\nAnswer: 8*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = -63*i + 1819. Calculate z(29).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from rrryrrwrrbwbrrrbymr. What is prob of picking 1 b, 2 y, and 1 w?\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) be the first derivative of 13*g**2\/2 - 9*g - 50. Let j(o) = -15*o + 10. Let r(n) = -6*j(n) - 7*x(n). Determine r(9).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 2950 - 55?\nAnswer: 28a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o = -o + 52. Let l = o - 11. Let q be l - ((-93)\/(-24) + -2). Which is the nearest to -1?  (a) -4  (b) q  (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 14 minutes after 6:00 PM?\nAnswer: 6:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -38  (b) -19  (c) -7.8  (d) -4  (e) -3.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*m + 4*i + 8 = 0, m - 4*i + 10 = -12. Let c(j) be the third derivative of -j**6\/120 - j**5\/10 - j**4\/24 + j**3\/3 + 41*j**2. Calculate c(m).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine k so that k**4\/2 - 6*k**3 + 21*k**2\/2 - 5*k = 0.\nAnswer: 0, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = v - 1. Let f be d(0). Let s be (-7)\/14*f*6. What is the nearest to 1 in s, -2\/5, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 4910 and 5397072?\nAnswer: 982","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"}
{"text":"Question: Factor 380*l**3\/7 - 68028*l**2\/7 + 388032*l + 30148432\/7.\nAnswer: 4*(l - 94)**2*(95*l + 853)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 99477839527 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort -205, 1, -59, 4.\nAnswer: -205, -59, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 136952813509 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Divide 22 by -41.\nAnswer: -22\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 8 and 1187.\nAnswer: 9496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-1584)\/(-1728))\/((-1)\/(-12))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 37476 - -6482?\nAnswer: 45068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 87188357?\nAnswer: 809, 107773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:04 AM and 3:47 PM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -4*7*((-4)\/(-16))\/(15\/60)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 75431 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 280573 or 280900?\nAnswer: 280900","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = -3*v**3 + v**2 + v + 1. Let m be b(-2). Suppose -1 = -4*c + m. What is the derivative of -4 + a + 2*a - c*a wrt a?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 1863990 and 16775910?\nAnswer: 16775910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -88.1*-5\nAnswer: 440.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 3 in 13, 145, 2\/7, -12.1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 558 minutes after 4:25 AM?\nAnswer: 1:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-176)\/(-28) + 2\/(-7). Suppose -l = -c - 6. Is 15 a factor of (-21)\/((-4)\/20 + c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = -32*v**2. Let u(l) = -12379486*l. Calculate u(o(x)).\nAnswer: 396143552*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 204 = -69*v + 6*v + 708 for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Does 14 divide 60411050?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 77 a factor of 4300?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 7864690 to the nearest integer?\nAnswer: 199","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 0 + 2. Suppose -65 = -7*r + 2*r - b*n, 5*n + 40 = r. Is (5\/r)\/(2\/582) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + (-1 + sqrt(4608) + -2 + 3 + -1*sqrt(4608) - (sqrt(4608) - (-4 + sqrt(4608)))*6*4)**2.\nAnswer: 9216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((g\/g**(-2))\/(g\/(g*g*g\/(g\/(g\/((g**(-2)\/g)\/g)))*g)))\/(g**(-1\/2)\/(g*g*g\/g**(-1\/2))))**(-3\/37) assuming g is positive.\nAnswer: g**(-42\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 1650238883 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -11*z + 21*z - 100. Suppose u + z = -4*u. Let k be (u*(-2)\/6)\/((-4)\/6). Sort 5, k, 4.\nAnswer: k, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -94, -104, -114, -118, -110, -84, -34?\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 21 - 12. What is the second derivative of -7*d - 47*d**2 + 79*d**2 + 75*d**2 + b*d**2 - 2 wrt d?\nAnswer: 232","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) be the second derivative of -57*s**5\/10 + 7*s**2 + 37*s. What is the derivative of i(l) wrt l?\nAnswer: -342*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -714123 divided by -4\nAnswer: 714123\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -6 or -24?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a**4 + 670*a**3 + 113557*a**2 + 446220*a + 443556 = 0. Calculate a.\nAnswer: -333, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: (-26 - (-23 - -27)) + 11\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 6\/(-4)*(1796\/360 - 5). Let w(f) be the second derivative of 1\/18*f**3 + f + 0 - 1\/18*f**4 + c*f**5 + 0*f**2. Factor w(l).\nAnswer: l*(l - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-1)\/(-7) + 788\/(-28). Let b be 9\/f - 8\/(-14). Let m = 3\/65 + 28\/13. Is m smaller than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k - 17*m + 20*m + 1689676 = 0, -3*k = -3*m - 5069082. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 6030 and 7245?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = 2*y**2 + 34*y + 62. Let s be q(-15). What is the derivative of -2*k + 1 + 10 + 19*k**s + 11 - k - 24*k**2 wrt k?\nAnswer: -10*k - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((z*z\/(z\/(z**8*z)))\/(z*(z\/z**(2\/9))\/z))**(-3\/20))**(-2\/3))**(-11) assuming z is positive.\nAnswer: z**(-913\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 48328375 and 375.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 4078270 and 420.\nAnswer: 24469620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -163 + 126560\/784 + 454\/280.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2130 = 17*x - 12415. What are the prime factors of x?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1 + 1 + (-208)\/64 + 3\/6\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = 13*q**2 + 26*q + 2. Let c be s(-2). Solve 9*y + c = 11 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = 4*k**2 + 12*k - 37. What are the prime factors of s(6)?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 381139 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1105939?\nAnswer: 461, 2399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 8 divided by -3947303.\nAnswer: -8\/3947303","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4172076558.\nAnswer: 2, 3, 13, 59, 33577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 0 + 4 + (5 + 3 + 3 - -6)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 74264829 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-12)\/9 - 35\/(-42))*-12724. Suppose -13*p - 538 = -z. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -34 + 80. What is the remainder when q is divided by ((-2)\/5)\/((-1)\/40)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -45*w + 42*w + 30. Let s(x) = -x**3 + 2*x**2 - x + 4. Let o be s(0). Let r = -1 + o. Solve -y = -r*m - 4*y - 6, -w = -m + 5*y for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -l = -57*y + 59*y - 3, 4*l = -y - 2 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -202 + -3603261?\nAnswer: -3603463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in eight thirds of a decade?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -113*f + 70 = -123*f + 2*m, 18*f = 17*f - 4*m - 7 for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-768)\/42)\/8*98\/(-7).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*d - 6*d = -5*n + 30, -4*n + 5*d = 12. Let s(v) = 113*v**2 + 130*v**2 - 303*v**n. Let q(u) = -2*u. What is s(q(r))?\nAnswer: -240*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 61, -1, -3, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -54 - 150 = -83*j + 45. Let a(x) be the first derivative of 0*x + 0*x**2 + 3 + 7\/3*x**j. Let u(k) = -3*k. Calculate u(a(z)).\nAnswer: -21*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express (15 - 8 - 16 - 1696*k + 9)*(-25 + 25 + 5*k) in the form o + v*k**2 + c*k and give v.\nAnswer: -8480","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 17767422?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {y: 2, g: 3, t: 4}. Give prob of picking 1 y and 2 t.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from kkrrrrrkkkrrk. Give prob of picking 1 r and 3 k.\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 12\/(-32)*2*-4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = -4*n**2 + 2*n**3 + 3*n**2 + 4 - 3. Let r be u(1). Let g be ((-90)\/(-27) + -4)\/((-13)\/(-3)). Which is bigger: g or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 1\/7  (b) 0.02  (c) -8  (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-50 + 17*c**3 - 4367239*c**2 + 4367239*c**2)*(-1 - 2 + 2 + (-1 + 1 - 1)*(3 - 1 + 0) + 4 + 1 - 7 + 2 + 1 - 4 - 4 + 4 + 2).\nAnswer: -68*c**3 + 200","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -5\/9, -292475, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 1012+-5.34443068\nAnswer: 1006.65556932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from uuduuuduuuuuuuuuuu. Give prob of sequence uudu.\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = -z**3 + z + 1. Let k be v(2). Let l(c) = 23*c - 4. Let w be l(k). Let r = 633 + w. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 198 divided by -22\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 1*(1 + -2 + 2). Let g = c - 6. Sort g, -0.5, 1 in descending order.\nAnswer: 1, -0.5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -i - 1892 + 967 = -5*j - 957, -2*j = -3*i + 57 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -115 + 200. Let i = -77.6 + j. Round i to 0 dps.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*i - 7 = 5 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + (4*(-2 + sqrt(432))*4)**2 + (-1*sqrt(432)*-3)**2 + -1*1*sqrt(432).\nAnswer: -12300*sqrt(3) + 115505","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 801?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2*s + 10*s + 22*s)*(0*s - s + 3*s) - s + s + s**2 + 20698*s - 20698*s - 60*s**2 to x*s**2 + k*s + m and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 142, -2, -0.07?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 794583019 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = -5*v - 52. Let g be o(-11). Suppose q = 2*z + 753, -g*z - 3765 = -5*q - 0*z. What are the prime factors of q?\nAnswer: 3, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 9522597?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -187162 + 4?\nAnswer: -187158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = -106*t**2 - 25*t + 20. Let f(y) = 107*y**2 + 30*y - 24. Let h(q) = 5*f(q) + 6*g(q). Let i(u) = 4*u**2. Calculate i(h(c)).\nAnswer: 40804*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: ((-4)\/(-40))\/(10\/25)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -71*h + 71*h + 236*h**2 to the form s + a*h + x*h**2 and give x.\nAnswer: 236","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 3718?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -6 + (-3690)\/(-660) + (195\/66 - 3)?\nAnswer: -5\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 179.13748 + -0.03748. Are 0 and u nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -1\/37 - -77\/111. Suppose -3*x + 14 = -l, 52*x = 49*x + 5*l + 34. Let g = 0.7 + -0.9. What is the second smallest value in c, x, 5, g?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2561?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 75*u + 0 + 4 + 86*u**2 + 128*u**2 + 36*u**2 - 6681*u**4 - 74*u wrt u.\nAnswer: -160344*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2 - 2 + 115777*p - 115998*p to the form x + l*p and give l.\nAnswer: -221","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 619238?\nAnswer: 2, 269, 1151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = g**2 - g + 21. Let d be l(0). Suppose w + 3*f - d = 4*f, 0 = -4*w + 5*f + 85. Calculate the highest common factor of w and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-31*z**2 + 33662*z + 2 - 33662*z)*(-2*z**2 + 2*z**2 - 2*z**2) to the form j*z**2 + r + l*z**3 + i*z**4 + w*z and give i.\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -76\/33 and 167\/42?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = 8*t**3 - 3*t**2 - 5*t + 1. Is u(7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 126817 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1863, -7152, -15975, -28338, -44247?\nAnswer: -63708","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 33858271805 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l - 2670 = 3*v, -7*l + 5*l + 1779 = -3*v. Calculate the highest common factor of 66 and l.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) be the first derivative of -2*f**5\/15 + 11*f**4\/6 + 176*f**3\/3 + 372*f**2 + 576*f + 1982. Solve d(j) = 0.\nAnswer: -6, -1, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = 3*d. Let c(j) = 26*j**2 + 2. Determine c(s(u)).\nAnswer: 234*u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.002617894528 rounded to 4 decimal places?\nAnswer: -0.0026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -74*l - 20*l**3 + 184*l**2 + 61*l - 192*l**2.\nAnswer: -20*l**3 - 8*l**2 - 13*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 n when three letters picked without replacement from {n: 5, z: 8}?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*j = 4*y - 44, y - 2*j - 10 = -j. Let u be 0\/(-16) - (2 + -7). Suppose -u - 19 = -12*q. What is the smallest common multiple of q and y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(66) + sqrt(66)*-1)*4 + 2*sqrt(66)*5)\/((sqrt(216)*1 - sqrt(216)) + sqrt(48)\/sqrt(32)).\nAnswer: 20*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 2ed (base 15) to base 9\nAnswer: 827","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g = 5*w - 5*g - 177, -2*w = 3*g - 57. Factor 38*i**3 - i - 9 - w*i**3 + 9*i**2 - 4*i**3.\nAnswer: (i - 1)*(i + 1)*(i + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 7698 and 158?\nAnswer: 608142","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1502\/2 + 15\/((-75)\/(-20))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*m = 7 - 32. Suppose -5*u - 2*f = -113, 4*f - 1 + m = 0. What are the prime factors of u?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-9)\/15 + 76\/10. Let f be (-3)\/(-3)*12\/6. Sort m, f, 0 in decreasing order.\nAnswer: m, f, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = -w**3 + 8*w**2 + 9*w + 8. Let n(g) = -g**3 + g + 1. Let v(k) = -2*n(k) + x(k). Calculate the smallest common multiple of 7 and v(-7).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -59 + 56. Which is the second biggest value?  (a) -2  (b) 0.47  (c) v  (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -3a50 (base 13) to base 7.\nAnswer: -33222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w - 6*w + 40 = 0. Suppose 0 = 6*y - 2*y + 24. Let i = w + y. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8 = -n - n - 4*z, -4*z - 12 = 4*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:16 PM and 4:45 PM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -235 = -9*o + 116. Let s = -5 + 18. Calculate the greatest common divisor of s and o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z - 15*h = -12*h + 1035, 5*z - 2540 = -2*h. What is the units digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -97\/917618 and -23\/158210?\nAnswer: 4588090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 17660 + -7?\nAnswer: 17651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m + 881 = 2*k, 1182 + 2277 = 4*m - 5*k. List the prime factors of m.\nAnswer: 13, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) be the third derivative of 151\/6*t**3 + 0 + 13*t**2 - 41\/20*t**5 - 4*t + 0*t**4. What is the first derivative of f(c) wrt c?\nAnswer: -246*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 40\/30*-3 - (-1221)\/24. Are l and 46 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3a020 (base 11) to base 12\nAnswer: -29173","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**(-2\/3))**(-11)\/(q**(4\/3))**(-12\/5) assuming q is positive.\nAnswer: q**(158\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r = -5*v - r + 234, -5*v = -3*r - 216. What are the prime factors of v?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (24\/(-40))\/(36\/(-40))*126\/39252. Is 1 != i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 7658477?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = 3*b + 4. Let d be -2 - 4*3\/b. Let n(y) be the first derivative of -y**4\/4 + 4*y**3\/3 - 4*y + 1. Determine n(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 2487 or -1058?\nAnswer: -1058","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 411 = f - 4*n, -4*n - 34 = 4*f - 1578. What are the prime factors of f?\nAnswer: 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = 117*g**2 - 37*g + 281. Is v(18) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000529347 to six dps.\nAnswer: 0.000053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 223, 305, 353, 355, 299, 173, -35?\n\"Answer: -2*o**3 - 5*o**2 + 111*o + 119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {e: 1, i: 4, v: 3}. Give prob of picking 2 v, 1 i, and 1 e.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 103\/4454 and 77\/2271540.\nAnswer: 2271540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Determine t, given that -50*t**5\/13 - 155190*t**4\/13 + 341672*t**3\/13 + 37216*t**2\/13 - 173952*t\/13 - 49696\/13 = 0.\nAnswer: -3106, -2\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = -20*q**2 + 3*q + 4. Let m(d) = -41*d**2 + 5*d + 7. Calculate 7*i(g) - 4*m(g).\nAnswer: 24*g**2 + g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2046 is divided by 27.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Does 68 divide 93092?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2005, -4, -2 in decreasing order.\nAnswer: -2, -4, -2005","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (14\/(-63))\/((-1)\/(-6)). Are 5 and v unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 154.788824 to the nearest integer.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {l: 2, f: 5, y: 2, p: 6, x: 1}. Give prob of sequence pxl.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 2430 and 1470?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 107\/1146 and -119\/2292.\nAnswer: 2292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -n**3 + n**3 - 3*n**3 + (2*n + 2*n - 2*n)*(n**2 - 2*n**2 + 0*n**2) + n**3 + 3*n**2 - 3*n**2 to u*n + k + g*n**3 + o*n**2 and give g.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {z: 1, s: 2, l: 7, g: 7, j: 3}. What is prob of sequence gs?\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) be the first derivative of 10*n**2 + 15*n + 15. What is the derivative of u(q) wrt q?\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 1\/16 of a meter?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d + 2*t + 30 = 0, 12*d + 111 = 7*d + 3*t. Let f(k) = -225*k - 155. Is f(d) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = r + 1. Let a(y) = 21*y + 19. Let s(f) = 14*f + 13. Let z(x) = 5*a(x) - 7*s(x). Let i(w) = -18*c(w) + 2*z(w). What is the tens digit of i(-9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 5123333, 10246666, 15369999?\n\"Answer: 5123333*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 19067?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = -k**3 + 18. Let d be l(0). Solve 0*c - d = 4*c - g, 2 = -3*c - 5*g for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -3 - -27?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*o = -3*d + 16, -13 = 5*o - 0*o - 4*d. Suppose 12*f = -24*f. What is the closest to o in f, -0.5, 0.4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ahj when three letters picked without replacement from {n: 1, h: 1, r: 1, j: 1, a: 1, o: 2}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s - 5*s = -16. Suppose 2*c = -c + 5*v + 118, 2*c - s*v - 80 = 0. What is the smallest common multiple of c and 16?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h = -4*c + 27, h = 3*h - 4*c + 2. Let q(u) = u**3 - 5*u**2 + 2*u - 5. Give q(h).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3\/(3\/487) + -16 + 17 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1776868230 rounded to the nearest one million?\nAnswer: 1777000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1363513519?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 313, 312, 311, 310, 309, 308?\n\"Answer: -p + 314","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 1529624533 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 534*d + 804*d + 33450 for d.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*2*sqrt(242).\nAnswer: 88*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = -z**2 - z + 1. Let d(w) = -4*w**2 + w + 5. Let g(c) = d(c) - 5*o(c). What is g(-5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify u**(-6)\/u*u*u**(-2\/17)*u**(-8)*u**(1\/7)*u*((u\/u**0)**0)**(-15) assuming u is positive.\nAnswer: u**(-1544\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*r - 10, 0*r + r = -4*b - 22. Let w(a) = -3*a + 5. Let s(t) = -10*t + 15. Let j(p) = -2*s(p) + 7*w(p). List the prime factors of j(b).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.02 times -0.024297?\nAnswer: 0.00048594","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = 185*v**2 + 11*v. Let o(n) = 62*n**2 + 4*n. What is -11*o(l) + 4*q(l)?\nAnswer: 58*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from iuuuiuffuilfuufuif. What is prob of sequence ui?\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-7115*t + 6913*t - 14261*t - 3507*t)*(-5*t + 4*t + 0*t).\nAnswer: 17970*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/2?  (a) 0.019  (b) 0  (c) -1\/315  (d) -4\/7  (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -7*c**5 + 4*c**3 + 337*c.\nAnswer: -140*c**3 + 24*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**(6\/5)\/g**(-2\/33))\/(g\/g**(-9)*g**(-13)*g) assuming g is positive.\nAnswer: g**(538\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-259)\/((-350945)\/542))\/(2\/465)?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*g - 2*w = -6*g, 5*g - w = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 130 = 2*l + x, 4*l - 5*x - 132 - 114 = 0. Let m = 99 - l. What is the greatest common divisor of 7 and m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 87261756.\nAnswer: 2, 3, 19, 382727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 18*m**2 + m**4 - 6 - 2 - m**4 - m**4 wrt m.\nAnswer: -4*m**3 + 36*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 341073557 to the nearest integer?\nAnswer: 18468","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) be the third derivative of -b**6\/120 + b**5\/12 - b**4\/3 + 2*b**3 + 2*b**2 - 3*b + 24. Calculate d(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.13868077 rounded to 4 decimal places?\nAnswer: -0.1387","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -5690 - -6049. What is the remainder when f is divided by 45?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 5499622511?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = 28569*b**2 + 1070*b. Let y(z) = -107*z**2 - 4*z. Let d(r) = -2*s(r) - 535*y(r). Let m(t) = -t. What is d(m(v))?\nAnswer: 107*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = -22*z**3 + 7*z**2 + 3*z - 7. Let r(y) = 23*y**3 - 8*y**2 - 4*y + 8. Determine -5*r(p) - 6*v(p).\nAnswer: 17*p**3 - 2*p**2 + 2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 1.4084 * -0.0336\nAnswer: -0.04732224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -8 in 1, -2\/3, 16, -1\/3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 255 a factor of 60180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 837*x + 136778 = 148496 for x.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 101853?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = 5*t**3 + t**2 - 3*t + 3. Let v be c(1). Suppose -9*y + 12*y - 3*k - 18 = 0, 5*y - 10 = -5*k. Solve -10*l + v*l = 4*r + 16, 10 = -r - y*l for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = -b + 29. Let g be u(-14). Let v = g - 29. Which is greater: 27\/2 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 544*a = -1015 - 1963 - 3550 for a.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = -o**3 + 16*o**2 + 259*o + 297. Determine c(-9).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 7845 and 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 3*l*n**2 + 321*l - 443*n**3 wrt n.\nAnswer: 6*l*n - 1329*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) be the second derivative of -q**3\/6 - q**2\/2 - 11*q. Let u(d) be the first derivative of 2*d**3\/3 - 4*d**2 - 5*d - 1. What is 6*o(y) - u(y)?\nAnswer: -2*y**2 + 2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -9.064297 - -46.064267. Let k = s + -37. Round k to four decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -10*(-24)\/(-96)*12\/5\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = -67*w. Let x(o) = -5*o. What is m(x(b))?\nAnswer: 335*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -214d (base 16) in base 12?\nAnswer: -4b25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 23975.\nAnswer: 5, 7, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-175)\/140)\/(5\/(-4)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 4 and 7906.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 20 a factor of 15916312?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -199\/6 + 33. Let h = -5 - -4.7. Which is the smallest value?  (a) h  (b) 4  (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-76)\/(-20) + 1\/5. Let p = v - -18. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1*(-135)\/36*(-114)\/(-95)*5*2.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2942.476 litres to millilitres.\nAnswer: 2942476","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) be the second derivative of -489*d**3\/2 - 293*d**2\/2 - 39*d. Is j(-8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.392 and 289?\nAnswer: 113.288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 11\/(55\/(-10)) + 2*99\/(-18)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8111.615 years in months?\nAnswer: 97339.38","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -5524, -5615, -5698, -5767, -5816, -5839?\n\"Answer: r**3 - 2*r**2 - 92*r - 5431","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*f**4 - 608112*f**3 - 48629760*f**2 = 0 for f.\nAnswer: -202624, -80, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Factor 0*j**4 + 0*j**2 + 0 + 1\/3*j**5 + 1\/3*j - 2\/3*j**3.\nAnswer: j*(j - 1)**2*(j + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -6*k - 4*k + 460. What is the remainder when 125 is divided by k?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 79959060\/330 - 2\/11. Round i to the nearest ten thousand.\nAnswer: 240000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*q = w - 42, 0 = -72*q + 76*q - 4*w - 108 for q.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -185 (base 12) in base 4?\nAnswer: -3311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 1\/4, 6.954, -0.02, 847?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = -a**2 - a + 53. Let r be (-2)\/(4\/(-10)) - 3. Suppose 0 = r*u + 3*u. What is the remainder when i(u) is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 178*y + 25425 = -387*y for y.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*p + 25 + 17 = 0. Let a = p + -7. Is ((-4)\/(-2))\/(a\/(-10)) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) be the second derivative of -q**5\/20 + q**4\/6 + q**3\/6 - q**2\/2 + 25*q. Give l(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 116 a factor of 196279720?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 108 and 11052.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0346848 rounded to 0 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, 18, 5 in descending order.\nAnswer: 18, 5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = 2*g**3 + 8*g**2 - 528*g - 3399. Calculate m(-7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 49861 is divided by 4137?\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2376526371?\nAnswer: 3, 31, 1277, 20011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 4488952881.006181 - 4488942052. Let s = v - 10829. What is s rounded to three dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) be the third derivative of -1478*n**7\/105 - 1181*n**5\/30 + 1775*n**2. What is the third derivative of h(k) wrt k?\nAnswer: -70944*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -17380087 or -156420796\/9?\nAnswer: -17380087","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 418, 1429, 3020, 5185, 7918?\nAnswer: 11213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x - 5*r - 6 = 0, x + 4*r + 1 = -4. Let h be 3300001 + -1*(0 - x). Round h to the nearest 1000000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 47\/16796 and -7\/8.\nAnswer: 33592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -7 - -11. Suppose 4*w = 3*u - 23 + r, 4*u = -3*w - 8. Suppose -3*j = 2*n - 16, 5*j + 7 - 2 = 3*n. What is the nearest to u in 4, j, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 384 and 14736?\nAnswer: 117888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 25*r - 297 = -47 for r.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 96252973?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:41 AM and 11:31 AM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:42 AM and 1:28 PM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -518.5 times 0.41?\nAnswer: -212.585","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = -156*k**2 - 2598*k + 974. Give o(-17).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -77 + 76 + (4\/7 - 345\/126).\nAnswer: -19\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 96, 219, 342, 465, 588?\nAnswer: 711","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = -a**4 + a**2. Let u(l) = -5*l**4 - l**3 + 4*l**2. Let f(w) = 9*i(w) - 2*u(w). Find z, given that f(z) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7 = -2*y - 3. What is the first derivative of 2 + 17*i - 5 - 14*i + y wrt i?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h - l + 6534 = 0, 4*h + 5*l - 9251 + 550 = 0. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 13881 (base 13) in base 11?\nAnswer: 25561","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide -144210 by -437.\nAnswer: 330","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 102149 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*w + 5*a + 41 = -479, 4*w - 2*a + 440 = 0. Let u = 128 + -284. Let f = w - u. What is the greatest common divisor of f and 72?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 8.152852 centimeters to nanometers.\nAnswer: 81528520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 66 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from wxwxqxxwqxq. Give prob of sequence xqwq.\nAnswer: 1\/88","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 10554*y - 10580*y - 3*n - 55, 10*n = -3*y - 16 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 minus 118958?\nAnswer: -118962","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -13728*l**2 - 1069*l + 2498*l + 13727*l**2 + 2445*l to the form q + c*l + p*l**2 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-17*v - 20*v + 14*v)*(2*v**4 + 3*v**4 - 3*v**4) + v**5 - 2*v**5 - v**5.\nAnswer: -48*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-1)\/2)\/((-42)\/(-12))*-7?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -10154826.56 - -9826730. Let a = 328098.4200089 + k. Let d = 1.86 - a. What is d rounded to 5 decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1133931.1999968 + -311849.1502042. Let z = -1445779 - p. Let i = z + -1.35. What is i rounded to 5 dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many microseconds are there in 721.1515 weeks?\nAnswer: 436152427200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4553447697072.41 + 0.4.\nAnswer: -4553447697072.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1395, -2741, -4087?\nAnswer: -5433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = -d**3 - 8*d**2 - 6*d + 1. Let p = 31 + -38. Let m = p + 0. Give j(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*q - 290459 + 290469 = -4*k, 0*k - k - 16 = 4*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 195 - 72. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -8 - -10. Suppose -2*m + 50 = -q*r + 6*r, 4*r + m - 55 = 0. What is the greatest common factor of 5 and r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -15626 divided by 355?\nAnswer: -15626\/355","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-8)\/32 - (1\/1 + (-366)\/280).\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 637, -2, 18, 0, 5, 2 in increasing order.\nAnswer: -2, 0, 2, 5, 18, 637","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0032624 rounded to five dps?\nAnswer: -0.00326","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -5, 0, 1\/4, -2\/9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 57598885, -0.5 in decreasing order.\nAnswer: 57598885, -0.5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 0 + (10 - (29 + -3 + -10)) + -23\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -24 in -4, 1, -23?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 15375553.\nAnswer: 43, 357571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 3.3 + 0.7. Let v = 64 - 67.7. Let h = t + v. What is the biggest value in h, -1\/4, -0.5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-170*m + 113*m + 97*m)*(0 + 2 - 4)*(3 - 4 - 1) + (-1 + 3 + 0)*(-2*m + 0 + 0).\nAnswer: 156*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 501 and 1598691.\nAnswer: 501","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -34 less than 0.3?\nAnswer: 34.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 15\/(-4)*(260\/39)\/(-5). Suppose 4*g = 5*l + 140399985, 10*l - 15 = z*l. Round g to the nearest one million.\nAnswer: 35000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 19108199 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: What comes next: -74, -105, -136, -167, -198, -229?\nAnswer: -260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1 + 2 + (6 - 4) + -5.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -0.2, -2, 2\/1001?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o - 3*w = -462, -7*w + 3*w = -3*o + 455. What is the lowest common multiple of 9 and o?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*v**2 - 2*v**2 - v**2)*(-3*v**2 + 4*v**2 - 3*v**2) - 106*v**4 + 131 - 131 + (-5*v**4 + 6*v**4 - 3*v**4)*(-5 + 1 + 3) + 0*v**4 + v**4 + 0*v**4.\nAnswer: -101*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = 2*n - 14. Suppose 5*h + 4*u + 11 + 4 = 0, -3*h - 3*u = 9. Let t(k) = 11*k + 39. Let v be t(h). Give c(v).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = f**2 - f + 18. Let y be 9\/(-27) + 2 + 5\/(-3). Let i be z(y). Suppose -c - i = -3*a, -3*c = 2*a - 4 - 8. Solve k + k = a for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 55\/236306 and 85\/6.\nAnswer: 708918","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = -3*v**3 - 7*v**2 - 7*v + 7. Let a(f) = f**3 + 2*f**2 + 2*f - 2. Suppose -3*z + 12 = 54. Calculate z*a(r) - 4*q(r).\nAnswer: -2*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = 38*f. Let c(v) = -v**3 - 15*v**2 + 161*v + 157. Let y be c(-22). Let s(l) = 38*l. What is y*s(g) - 2*q(g)?\nAnswer: 38*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 174859481 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1\/3 or -11183362?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*o - 5*d = -12*o - 694, -1019 = -3*o - 2*d. Which is the second biggest value?  (a) 4  (b) -4  (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -44409900 - -44409901.99999943. Let k = 2 - m. What is k rounded to seven dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 526 minutes after 2:54 AM?\nAnswer: 11:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-1)\/(-4) - (-69)\/12. Suppose -7*s + 33 = 61. Let b = s + x. Solve b = -p + 4 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = -y**2 - 5*y - 3. Suppose 17 = -3*o + 5*w, -3*w = -2*o + 1 - 12. Let u be (o\/(-5))\/((-30)\/225). Give l(u).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2734?\nAnswer: 2, 1367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*f - 4*f, -2*u = -f - 6. Suppose -6*g = -g - u*j - 2117, 0 = 4*g - 3*j - 1696. What are the prime factors of g?\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = -24*v**2 - 29*v**2 + 4*v + 19*v + 84*v**2 - 32*v**2 - 31. Determine o(8).\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*n**5\/13 + 8412402*n**4\/13 + 8846134931246*n**3\/13 + 150382123439214*n**2\/13 + 274225875734288*n\/13 + 132689878813920\/13 = 0. What is n?\nAnswer: -2103092, -15, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 6345068455 to the power of 1\/3, to the nearest integer?\nAnswer: 1851","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) be the second derivative of f**5\/20 + 7*f**4\/6 - f**3 - 25*f**2\/2 + 169*f. What are the prime factors of a(-8)?\nAnswer: 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 797333784 a multiple of 228?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9*k**5 + 51*k**4 + 57*k**3 - 63*k**2 - 54*k = 0.\nAnswer: -3, -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -20*t = -14*t + 6 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (9\/18)\/(2\/(-8)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -15578, -30996, -46442, -61922, -77442, -93008, -108626, -124302?\n\"Answer: -g**3 - 8*g**2 - 15387*g - 182","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-26 - -21)\/(2\/(-6)). What is the greatest common factor of c and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = c + 1. Let l(y) = -72*y + 7. Let a(f) = l(f) + 6*n(f). Let j be a(2). Is 170196\/68 - 14\/j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -2 - -17. Does 10 divide (6\/n)\/(4\/100)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -333 divided by -3\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Work out -77193 * -5.\nAnswer: 385965","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(35) - (sqrt(210) + sqrt(210) + (sqrt(210) - sqrt(210)*2) + sqrt(210) + sqrt(210))\/sqrt(6))\/(sqrt(240)\/sqrt(12)).\nAnswer: -sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 0*a**3 + a**5 + 6*a**5 + 3*a**3 + 54*a**2 - 2*a**3 wrt a?\nAnswer: 420*a**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10434576 > 10434571?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4*l + 3*l - 6*l + (-3 - 4 - 1)*(-l + 5*l - 2*l) - l - 1 + 3 - 2*l.\nAnswer: -18*l + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*q**3 + 3*q**3 + 0*q**3.\nAnswer: 5*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 0.6 times 0.152\nAnswer: 0.0912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 2111 + 1220?\nAnswer: 3331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in b + 3 + 22*b + 7*b - 1.\nAnswer: 30*b + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 633205 divided by -145.\nAnswer: -126641\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -4\/113 - -355\/452. What is the fourth biggest value in 0.4, 3\/5, 0.1, z?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 101 > 103?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = -2*c**3 + 3*c + 2. Let y(j) = -4*j**3 + 2*j + 3. Calculate -3*x(n) + 2*y(n).\nAnswer: -2*n**3 - 5*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n + 14 = 2*k - k, -2*k = 5*n - 16. Suppose 3*a - a - 34 = 0. Solve 0 = n*h + v - a, 5*h + 8*v - 3*v = 40 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3466 is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 262 and 833291.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3 + -4 + 35 + -32 - 28?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 52*q**2 - 15 - 16 - 6 wrt q?\nAnswer: 104*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together 674 and -5443.\nAnswer: -4769","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 8 + -1. Let b = n + -6.6. Let f = 0.39978 - b. Round f to 4 decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -270, -1192, -2768, -4998, -7882?\n\"Answer: -327*u**2 + 59*u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = -14*b + 8. Let u(y) = 5*y - 3. Let g(x) = 3*h(x) + 8*u(x). Let k(p) be the first derivative of 11 + 0*p + 2\/3*p**3 + 0*p**2. Determine k(g(r)).\nAnswer: 8*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = -f. Let z be w(-3). Let y(g) = -4*g + 1 - g**2 + z*g + 1. Let h be y(0). Solve h*q = 6, 5*c + 35 = 5*q - 0*q for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 5*a*r*y**2 + 2*a*r + a - 88*r*y**2 - 2*y**2 + 4338 wrt r?\nAnswer: 5*a*y**2 + 2*a - 88*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 32\/12 + 0 - (-47 - -50). Put -2.4, -2\/13, k in increasing order.\nAnswer: -2.4, k, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 1686349 to the nearest one hundred thousand.\nAnswer: 1700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 115.22 + 12.48. Let z = 128 - k. Are -78 and z non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) be the second derivative of a**5\/20 + 11*a**4\/12 - a**3\/2 - 20*a**2 - 136*a. Let q be o(-8). Calculate the highest common factor of q and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1 or 32\/8244751?\nAnswer: 32\/8244751","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 39492896 a multiple of 464?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -3 + -11 + 7 + 5 + 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) be the first derivative of -125*w**6\/6 + 37*w**2\/2 - 2*w + 143. Find the second derivative of q(j) wrt j.\nAnswer: -2500*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 595 minutes before 10:24 AM?\nAnswer: 12:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 0, -64, -128, -192, -256?\nAnswer: -320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 1 - (4 + -29 + (25 - 56) + 44)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is i in 99*i**4\/5 - 237216*i**3\/5 - 446067*i**2\/5 + 93492*i\/5 + 14388 = 0?\nAnswer: -2, -1\/3, 5\/11, 2398","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.5 and -0.394.\nAnswer: -0.197","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = 34*i + 242. Let u be (-5)\/((-135)\/6) - (-1495)\/(-207). Let x be y(u). Solve 9*r + 22 = x for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -64*q**2 + 155 - 4*q**3 + 1004*q - 1699 + 608.\nAnswer: -4*(q - 9)*(q - 1)*(q + 26)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = p - 4. Suppose 5*m + 16 = m. Let h(j) = -j - 3. Let z be h(m). Let t(w) = -w. Let y(g) = z*o(g) - 3*t(g). Differentiate y(l) with respect to l.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2 (base 14) to base 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 252982591 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1 = i + 5*u, 0 = 861*i - 864*i + 4*u + 3 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) be the third derivative of m**5\/150 + 31*m**4\/60 - 32*m**3\/15 - 6*m**2 - 112*m. Find t, given that s(t) = 0.\nAnswer: -32, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -9\/5?  (a) -4  (b) -5  (c) -1\/8  (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = n + 2*a, 5*n + 5*a = -21 + 1. Is n > -8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 120\/(-60)*124\/8*22\/(-11)?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = -6*f. Let j(y) be the second derivative of -11\/2*y**2 - 1\/24*y**4 + 0*y**3 + 11*y + 0. Let t(b) be the first derivative of j(b). Calculate c(t(v)).\nAnswer: 6*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 3911 and -36974.\nAnswer: -144605314","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = m**3 - 6*m**2 - 2. Let a be l(6). Put a, 12, 2 in descending order.\nAnswer: 12, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-185)\/(-84) - (31 - (-63114)\/(-2198))?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -m - h + 2, 0 = 3*h + 2 + 13. What is the highest common divisor of 28 and m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-1 - 2*m + 1)*(m**2 + m**2 - m**2) - 11*m**3 + 2*m**3 - 31*m**3 + 83*m**2 - 83*m**2 - 12*m - 5*m**3)*(2*m**2 - 3*m**2 + 2*m**2).\nAnswer: -47*m**5 - 12*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 129004 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Product of -49.1419 and -218.\nAnswer: 10712.9342","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*i + 4*i - i + (2 - 2 + 2*i)*(-2 - 3 + 3) - 2*i + 3*i - 2*i + 41*i - 984*i - 981*i in the form p + r*i and give r.\nAnswer: -1928","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 35 - 30 = -j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*c + 4, 5 + 5 = 4*r + 3*c for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 723341 and 4573.\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + 5*((1 + sqrt(175))*-3 + (sqrt(175) + 3)*-4))**2.\nAnswer: 26250*sqrt(7) + 220000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -2, -58, 5, -359, -64.\nAnswer: -359, -64, -58, -5, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 30 - 30.1. Put i, -2, -0.04 in increasing order.\nAnswer: -2, i, -0.04","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 8c9 (base 13) to base 10\nAnswer: 1517","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many days are there in 143.17182ms?\nAnswer: 0.00000165708125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 3 - -3*(-4)\/12. Suppose 2*a + 96 = 4*u - 78, h*a = 5*u - 219. Let n = 1417\/70 + -78\/7. What is the common denominator of u and n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-40 - (-11 + -1 + -22 + 43)) + 12?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*t - 2*t = 12. Let i(h) = 4 + h**3 + h + 2*h**3 + 3*h**2 - 2*h**t. Give i(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -r, 2*p - r + 5*r - 10 = 0. Suppose 0 = -f - 0 + 2. Calculate the lowest common multiple of f and p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-1434)\/(6\/200*-2). Round x to the nearest one thousand.\nAnswer: 24000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 0.5  (b) -2  (c) -8\/11  (d) -1622\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 48 and 101277136.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -5*p + 3*b + 35, p = 6*b - b + 29 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = -l**2 - 8*l + 10. Let x(a) = -a**2 + 7*a - 11. Let o be x(6). Let q be v(o). Solve 2*d - q = -3*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 - 3*c**5 + 2)*(-4 - 12 + 4) - 3*c**5 + c**4 - c**4.\nAnswer: 33*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1 - (0 + -2) - 3) + 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from lommlollolmlollllmo. What is prob of sequence olmo?\nAnswer: 25\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ccxccccccjcccc. Give prob of sequence xcc.\nAnswer: 11\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -5, -2, 5, -7, 0, -156238 in increasing order.\nAnswer: -156238, -7, -5, -2, 0, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:53 AM and 3:56 PM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = -309*n - 42326. Give z(-137).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*q + 7*q - 6 = 0. Is q a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 s when four letters picked without replacement from sgssgggsss?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -35 = -5*f + 2*c, 0*c = -4*c - 20. Let y = 1 + -2. Let x be 3 + (2 - 4) + y. Solve -5*h + 20 = 5*r, x = -f*h + r - 4*r + 14 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((m\/(m**9*m))\/(m\/m**1))\/(m**(2\/7)*m)**(2\/9))\/(m**(-1\/4)*m*(m**(-2\/7)*m)\/m*(m**(2\/5))**26) assuming m is positive.\nAnswer: m**(-403\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = -2*v + 5. Let t be z(1). Calculate the greatest common factor of t and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-4 + 0 + sqrt(405) - sqrt(405))*5 + 0)**2 - ((sqrt(405)*1*5)**2 + (0 + sqrt(405)*1)**2).\nAnswer: -10130","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(768) + -5*-3*sqrt(768))*-4)\/(sqrt(42)\/(sqrt(343)*-3 - sqrt(343))*-3).\nAnswer: -14336*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n*n**(-14))**(-41)\/(n\/(n\/(n\/(n**(-6)\/n)*n)*n)*n\/n**(20\/9)) assuming n is positive.\nAnswer: n**(4736\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1332, -1337, -1346, -1359, -1376?\nAnswer: -1397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 104 a factor of 570304696?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -17 - -25. Suppose 2*d + u = -3*u - s, -u = -3*d + 9. List the prime factors of d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.3 * -15320\nAnswer: -4596","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12 = 4*n + 4. Suppose -n*p = -5*u - 29, -u = 4*p + 1 - 4. Solve -24 = -v - 3*f - 2*f, p*v - 5*f = -27 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (2 - (-11)\/4) + (-36)\/48. Solve -4*p - 5*g = 3, 4*p = 2*p - q*g for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 328*i - 316*i - 168 = 0. Let a(r) = 2*r**2 - 7*r + 7. Let p(f) = f**2 - 3*f + 3. Calculate i*p(x) - 6*a(x).\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*g**2 - 165995*g + 117559500.\nAnswer: 5*(g - 32475)*(g - 724)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = -4*m**2 - 2*m + 1. Let z be a(1). Calculate the least common multiple of 10 and (-3)\/z - 378\/(-45).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.06 - -11.54. Let o = k - 2.2. Let n = -9.77 + o. What is n rounded to 1 decimal place?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3 + 10 + -10 + (-25 - (-2 - -4)).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 54 minutes after 12:27 PM?\nAnswer: 1:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 349 is divided by 69?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -106 - d**2 + 6967*d**3 - 2181 - 7337*d**3 + 3*d**5 wrt d.\nAnswer: 180*d**2 - 2220","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = d**3 - 63*d**2 + 53*d - 2009. What is k(63)?\nAnswer: 1330","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = -g**3 - 6*g**2 + 7*g - 2. Let a be h(-7). Let x be a\/3 + 16\/6. Factor -x*j**2 + 0*j - 4*j - 3 + 1.\nAnswer: -2*(j + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 4946598 to the nearest integer?\nAnswer: 2224","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (2\/5)\/(4\/40). Suppose n + 5*z = -s, -3*n - 4 = 4*z + 8. Is n greater than or equal to -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**23*o**(2\/21)*((o\/o**25)\/o)\/o**(2\/39))**(-1\/5) assuming o is positive.\nAnswer: o**(178\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5507856?\nAnswer: 2, 3, 23, 1663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*g + 5 - 9. Let f be (-2)\/(-369)*-3*(-8 - -14). Which is greater: g or f?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -5104*w + 5103*w + 5*p - 20, w + 2*p - 15 = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -10100100 rounded to the nearest one hundred thousand?\nAnswer: -10100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = -7*t**3 + 7. Let s(r) be the third derivative of r**6\/40 - r**3\/2 + 2*r**2 - 11. What is -5*s(z) - 2*y(z)?\nAnswer: -z**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 11011000001001100010110 (base 2) in base 11?\nAnswer: 3aa8436","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*p**3\/11 - 5276*p**2\/11 - 15802*p\/11 + 21080\/11 = 0. Calculate p.\nAnswer: -2635, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is (-175)\/25 + 2 + 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1163 a factor of 13295416?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 2\/3 - (-18)\/(-27). Which is greater: d or 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.1254421 millennia to months.\nAnswer: 1505.3052","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {j: 5, b: 7, v: 1, s: 1}. Give prob of picking 3 j and 1 s.\nAnswer: 10\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5 - 4 - 3)*(1323*c + 3 + 2399*c - 225*c + 1430*c).\nAnswer: -9854*c - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {x: 16, s: 2}. What is prob of picking 1 s and 3 x?\nAnswer: 56\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-1)\/(-4) - (-23)\/4. Let a = -3 - 1. Let i be (a\/w)\/2*3. Sort i, -5, 2\/7.\nAnswer: -5, i, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3505971 divided by -48027\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = 31*r + 781. Calculate x(-25).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*b = -2*x + 3365, -4*x + 7060 = -2*b + 318. Suppose 17*p = 12*p - x. Is (-16)\/(-24) + p\/(-3) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = -k**2 - 44*k + 1833. Determine n(-70).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (5\/3)\/(2\/(-3))*2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.08?  (a) 0  (b) -4  (c) 10  (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.2 less than 2672?\nAnswer: 2671.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = 12*v**2 + 2*v - 1. Let y be c(-4). Suppose 5*x - 2*x - y = 0. Does 17 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -38827, -38832, -38843, -38860?\nAnswer: -38883","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -385 + 363. Let q be (y\/4)\/((-2)\/16). What is the greatest common factor of 32 and q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2282309735?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence jcb when three letters picked without replacement from {c: 5, i: 1, j: 2, a: 6, b: 5}.\nAnswer: 25\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -23*s - 140 - 135 + 277 - 10*s + 0*s.\nAnswer: -33*s + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y + 12 = y. Suppose -y*w + 15 = -0*w. Suppose -w*b + 5*d + 91 + 44 = 0, b + 5*d = 9. Calculate the highest common divisor of 120 and b.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from pggppwggwwg. What is prob of picking 1 p and 3 g?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -3 + -44?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + sqrt(3) + 1 + 2 + sqrt(3)*-2 + (1*sqrt(15)*-2)\/(sqrt(180)*-1 + sqrt(5)))**2.\nAnswer: 12*sqrt(3)\/5 + 127\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 41545112 is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 54 + -46 - (4 + 0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Determine u, given that u**4\/2 - u**3\/2 - 15*u**2\/2 - 23*u\/2 - 5 = 0.\nAnswer: -2, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*a**2 - 3 - 2*a**2 + 7*a**2)*(-14*a - 15*a + 19*a).\nAnswer: -20*a**3 + 30*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 65573?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = -6*o**2 + 4*o - 17. Let g(v) = 177*v. Determine p(g(f)).\nAnswer: -187974*f**2 + 708*f - 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1\/2 or -3\/596?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 divided by 32?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:57 PM and 10:17 AM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -100210112 + 121100102?\nAnswer: 20112220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 48087 and 933933.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 1848128665 to the power of 1\/2, to the nearest integer?\nAnswer: 42990","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) be the second derivative of -x**3\/6 + 5*x**2\/2 + 1430*x. Suppose 4*p = 1 + 15. Suppose 21 = -v + p*v. Determine i(v).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*v = -5*v - 3. Suppose 3 = f - v. What is the smallest common multiple of f and 11?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*r**2 + 2 + 4*r**2 - 5*r**2)*(49*r + 352 - 27*r - 25*r).\nAnswer: 9*r**3 - 1056*r**2 - 6*r + 704","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = j + 15*j**2 - j. Let y(o) = 14*o - 2*o - 4*o - 10*o. Calculate y(r(n)).\nAnswer: -30*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 2 - (-2 - -4) - -4. Suppose g*h + 14 = 5*h. Let q = 2 + h. Is 16 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ejbececleebdjbjbje. What is prob of sequence edje?\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1101100 + -1?\nAnswer: 1101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 15*a**2 - 21*a**2 + 7*a**2 + 11*a to v + z*a + p*a**2 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 0 (base 10) to base 16\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3343*u + 26542 = -209*u + 117*u + 117570 for u.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 115810583 to the nearest integer?\nAnswer: 487","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*n = 36 + 96. Calculate the remainder when 261 is divided by n.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 136*o = -156*o - 1783 + 3535 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 41611062?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 1625560005 to the power of 1\/2, to the nearest integer?\nAnswer: 40318","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 6923608452?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000004151 to seven decimal places.\nAnswer: 0.0000042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 302468455?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 41 minutes after 6:00 PM?\nAnswer: 6:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 a factor of 80?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 7832?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -2 - 0. Suppose 2*n - n = 0. Let a(h) = h**3 + 5*h**2 - 6*h - 1. Let b be a(-6). Sort t, n, b.\nAnswer: t, b, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*k + b = -252 + 266, 2*b + 23 = -5*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Divide -398 by 286245.\nAnswer: -398\/286245","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 4911.9 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.272 + -22.072. Let d = n + 21.79998336. Round d to six dps.\nAnswer: -0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 39*u - 81*u = -25914. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -38.377888 rounded to two dps?\nAnswer: -38.38","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand -536 - 2*z - 9*z + 538 + (5 - 2 - 2)*(55 - 14*z - 55).\nAnswer: -25*z + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 11, 14, 21, 32, 47, 66, 89?\n\"Answer: 2*d**2 - 3*d + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -42?  (a) -3\/2  (b) -6  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = r**2 + 20*r + 2. Let p be a(-20). Let u(s) = s**3 + 6*s**2 - s - 4. Let w be u(-6). Solve -w*t + 0 = -p*n - 2, -n = 2 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (115\/(-92))\/(20\/192)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = l**3 + 4*l**2 + 3*l - 2. Suppose d - 2 = 4*n, 2*d - 4*d - 3 = -n. Let f be s(d). Suppose -8*y + 11*y = f. Solve -5*r = -y*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -1 + 3*b**2 - 3*b**2 - 2*b**2 + 0 as z*b**2 + x + j*b and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 736671?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (54\/(-36))\/(74\/4292) + 2 + -1*18.\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 57459402.\nAnswer: 2, 3, 7, 11, 13, 1063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-64)\/60*102\/(-188). Let f = 1\/47 + n. Let h = 3 - 2.9. Which is the nearest to h?  (a) f  (b) 0.4  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = z**2 - 6*z. Let i(p) = -7*p. Give -6*i(y) + 7*w(y).\nAnswer: 7*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -41497393*n**5 + 225655273*n**2.\nAnswer: -2489843580*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 15859 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = a**2 - 1. Let g be (-2 + 8)*5\/60*38. Suppose 3*b = b - r - 11, 0 = 3*b + r + g. Let t(p) = 3*p**2 - 3. Give b*w(k) + 3*t(k).\nAnswer: k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -2845011 divided by -39\nAnswer: 72949","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z**(-2\/39))**(-27)*(z**23)**44)**(1\/11) assuming z is positive.\nAnswer: z**(13174\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 28703011291 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 85\/2746 and -85\/1748.\nAnswer: 2400004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 72, 48, -22, -162, -396?\nAnswer: -748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 9203428163 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 8162491567 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 16798472 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 4\/15?  (a) 3  (b) -3\/4  (c) 2\/9  (d) 0.00269\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*q - 1 + 2*q + 2)*(3*q - 3*q + 2*q) - 4*q**2 + 3*q**2 + 4*q**2 - 4*q**2 + 5*q**2 - 2*q**2 + (-3 + 3 - 2)*(-2*q**2 - 2 + 2) + 3*q**2 + q**2 - 2*q**2.\nAnswer: 12*q**2 + 2*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 1036 and 2?\nAnswer: 1036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify t**(4\/5)*t*t**(-3\/2)*t**(1\/2)*t**1 assuming t is positive.\nAnswer: t**(9\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*z**2 + 3*z + 35*z**3 - 26*z**3 + 2*z**3 to the form x + s*z**3 + t*z + v*z**2 and give s.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2539676?\nAnswer: 2, 227, 2797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1341 (base 5) to base 8.\nAnswer: 335","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 596*z = s + 599*z + 25, -6*z = 4*s + 46. Solve 2*n = s*k - 25 + 15, 0 = -4*n - 16 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h + 9 = 24. Suppose w = -2*k - 23, -5*k + 2*k - 29 = -4*w. Let v(o) = o + 7. Let t be v(k). Put t, 0, h in increasing order.\nAnswer: t, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 7.744 - -0.136. Let r = 8 - k. Round r to 1 decimal place.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f**(-2))**35\/((f*f\/(f**(-6)\/f))\/(f**(-4\/3)\/f)))\/(f**12\/(f*f\/f**(-7\/4)))**48 assuming f is positive.\nAnswer: f**(-1432\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*h - h - 5*u = -25, 2*u - 5 = -h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Total of 1.6753 and -0.26.\nAnswer: 1.4153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7\/((-148)\/76 + 2) is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*u - 32 + 5. Let d = 11 + u. Solve -h + d*h + 2 = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-123)\/(-2 + -1) + (0 - -1). Suppose 60*t + 66*t - 132300 = 0. What is the highest common divisor of u and t?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((-6)\/15*-3)\/(2\/5). Differentiate -2*g - 285*g**3 + 270*g**f - 30 + 2*g wrt g.\nAnswer: -45*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 186, 726, 1624, 2880, 4494?\nAnswer: 6466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = -n**3 + 3*n**2 + 3*n + 4. Let h be m(4). Solve j + 4*c + 20 = h, -2*j - 3*c + 8 = -7*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 57159790.\nAnswer: 2, 5, 19, 59, 5099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -71*n + 1113*n + 147*n + 79230 = -201*n for n.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 10 or -44\/157?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in five quarters of a hour?\nAnswer: 4500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y = 3*d - 8 - 4, 3 = y. What is the greatest common divisor of d and 21?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o*o\/(o\/(((o\/(o**(-8)*o))\/o)\/o))*o*o\/(o\/(o\/o**17)))**(-2\/17) assuming o is positive.\nAnswer: o**(16\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = m**2 - 63. Let v(s) = -2*s - 36. Let u be v(-14). Let o be j(u). What is the nearest to 0.1 in -1.1, 0.2, o?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*v - 35 = 5*c, c - 2*v + 9 = -4*v for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 6 and -2.392?\nAnswer: -14.352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 194173, 194175, 194165, 194137, 194085, 194003, 193885, 193725?\n\"Answer: -k**3 + 9*k + 194165","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 7078?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert 11 (base 7) to base 2.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -95?  (a) 44  (b) -1.39  (c) 3.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 34813\/16 - 2173. What is the common denominator of g and -1\/552?\nAnswer: 1104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = s**2 - 5*s - 16. Let v be m(7). Let g be (0 + -6)*((v - -9) + -4). Do -17 and g have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {i: 2, l: 5, v: 5}. Give prob of picking 1 i and 1 l.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -366894*g**4 - 2*g**3 - 151*g**2 - 192596725*g wrt g?\nAnswer: -4402728*g**2 - 12*g - 302","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -1 + -2. Let v be 90\/27*w\/(-2). Solve 0 = v*b + 23 - 8 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8.37 less than 2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -5 + 9e?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Divide -7 by -357839.\nAnswer: 7\/357839","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:52 AM and 3:41 PM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (11\/((-275)\/70))\/((-686)\/3920)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1019 divided by -394393.\nAnswer: 1019\/394393","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in 299, -2\/11, -2\/9?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 17 - -1?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -87 + 87. Suppose f = 6*w - 25 - 23. Suppose -36 = 5*s - w*s. Calculate the least common multiple of s and 6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -645334, -644606, -643878, -643150, -642422?\n\"Answer: 728*k - 646062","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, -0.5, 2, -4\/5, -2800 in increasing order.\nAnswer: -2800, -4, -4\/5, -0.5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from wwwwwwwww?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 91 - 82 - (49 + -2) - 18\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = -13 - a - 2*a + 5. What is the units digit of t(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 43620, 43617, 43614, 43611, 43608?\nAnswer: 43605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -25, -47, -69, -91?\n\"Answer: -22*j - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -4 times -67\nAnswer: 268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 4191 - 4163. Solve -d - r*d - 116 = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -3, 2\/19, 0, -3\/35?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 611 + -465. Calculate the remainder when t is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = s**2 - 6*s + 7. Let k be (10*2\/(-12))\/((-1)\/3). Let z be j(k). Solve 5*l + 7 = -z*a, -2*a - 3*a = -l + 4 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00000349231 to 7 dps.\nAnswer: -0.0000035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -73.00155 + 73. Round b to 4 decimal places.\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -1704, -3410, -5114, -6816?\n\"Answer: p**2 - 1709*p + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Are 3572 and 3574 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4265761?\nAnswer: 577, 7393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 125 a factor of 12000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Does 95 divide 17 - 8 - (0 - (3314 - -2))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1 - -1) + 2 - 374\/102.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 140 = -5*f + 2*s + 112, 0 = -5*f + 4*s - 26 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Total of -26 and 7.024553.\nAnswer: -18.975447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p = -10, -2*p - p = 5*k - 70. Suppose -k = 5*l - 112. Calculate the remainder when 73 is divided by l.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -40a723 - -9?\nAnswer: -40a718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = -2*b**3 - 7*b**2 + 5*b - 6. List the prime factors of c(-6).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*a + 1 = -4. Suppose 2*r - 3*r + 56 = 5*i, -i + a = 0. Does 11 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = -l**3 - l**2 - 18*l + 17. What is s(1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 192 and 62116896?\nAnswer: 124233792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 291 a factor of 411689?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-36)\/112)\/9*-9*(-112)\/(-42).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 6.7 + -7. Let h = 0.17 + j. Let l = 0.32 + h. What is l rounded to 1 dp?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 4*d**2 - 3536*d - 39380 = 0. What is d?\nAnswer: -11, 895","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = -o**3 - 13*o**2 + 14*o. Let d be i(-14). Suppose d = 5*t - t - 12. Suppose -224 + 1130 = t*x. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 133 divide 364944124?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r**2\/(r**(2\/15)*r))\/(r\/(((r\/(r*r**(-1\/4)*r))\/r)\/r))**22)\/((r\/r**(-1))**(10\/3)*r*r\/((r**7\/r)\/r)*((r*r\/r**6)\/r*r*r)\/r) assuming r is positive.\nAnswer: r**(-813\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 2201 at least as big as 2205?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0.36816 - 7.36816. Which is the closest to -1?  (a) -0.02  (b) -5  (c) -6  (d) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t + 2*j + 780 = 0, 0 = 5*t + j + j + 976. Does 10 divide (-50)\/(-4)*t\/(-70)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5025*h - 5026*h = -10169*h + 5192 for h.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (64\/(-6))\/(4\/(-12)). Suppose -6*u = -14*u + z. Suppose -14*w - u*w = -1206. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 16150.1499997 + -16149.96. Let o = l - 0.19. Round o to seven decimal places.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 44 divide 528?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*n**3\/5 + 456*n**2 - 13836*n\/5 - 36768\/5 = 0.\nAnswer: -766, -2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 288 and 69808?\nAnswer: 1256544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Determine t so that 2*t**3\/5 - 615842*t**2 - 9237668*t\/5 + 6158432 = 0.\nAnswer: -5, 2, 1539608","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c + 302 = 4*o, -82 = -o + 19*c - 15*c. What is the least common multiple of o and 132?\nAnswer: 4884","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 t and 1 w when three letters picked without replacement from {o: 2, r: 1, w: 1, t: 2, l: 2}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2 + 7\/(-3))\/(13\/117).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 60477 is divided by 210.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let -1125*n**2 - 1380450*n - 423476045 = 0. What is n?\nAnswer: -9203\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((-3)\/(-4))\/(27\/(-9)). Is q > 11\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 453*-0.03\nAnswer: -13.59","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -368020 times 0.2\nAnswer: -73604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = 14*u + 7. Let m(a) = -27*a - 14. Let w(v) = -11*i(v) - 6*m(v). Let h(x) = -x**2 + 9*x + 5. Let n be h(9). Is w(n) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 979443, 979757, 980073, 980391, 980711, 981033?\nAnswer: 981357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is seventeen quarters of a litre in millilitres?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -43 or -46?\nAnswer: -43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = 1 + 7*f**2 - 11*f**2 - 3*f**3 - 2*f + 2*f**3. Let y = -7 + 3. Give j(y).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum -201398 and -277.\nAnswer: -201675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 48233521 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o - 3*m - 2*m = -64, 4*m - 68 = -2*o. Let a = 26 - 28. Let z = a + o. List the prime factors of z.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5369 divided by -13.\nAnswer: 413","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 177390538, 354781078, 532171618?\n\"Answer: 177390540*i - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2823*m**2 + 1859*m wrt m?\nAnswer: 5646","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = -r**3 + 5*r**2 - 2*r - 5. Suppose 100 = 5*h - 5*f, -2*h = 2*h - f - 92. Suppose -h*u = -22*u - 10. Determine v(u).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -280*v + 224 wrt v.\nAnswer: -280","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-3 - -6 - 1) + -1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -547 - -556. Suppose 8*m = -x*m. Solve 9*h - 4*h = -t + 10, -2*h + 3*t - 13 = m for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -409, -827, -1245, -1663?\nAnswer: -2081","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve g - 41*g - 306 = 11*g for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 4630723 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = 2*r**2 + 4*r + 7. Let c(a) = a**2 + 2*a + 4. Calculate -5*c(b) + 3*k(b).\nAnswer: b**2 + 2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = s**2 - 2*s - 8. Let i be f(-4). Suppose 77*z = 73*z + i. Suppose 0 = z*p - 9*p + 1015. What is the hundreds digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 r and 3 b when four letters picked without replacement from {u: 1, v: 1, r: 1, b: 1, s: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 632.77264 rounded to the nearest one hundred?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00271 to four dps.\nAnswer: -0.0027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is one fifteenth of a hour in seconds?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4172 - 4172 - 3*h + 4*h.\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 47\/20 and 2\/(-7) + 652\/224 + -2.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = 2*r + 9. Let t be b(-17). Suppose -5*f - 118 = j + 2*j, 4*f + 116 = 3*j. Does f = t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {o: 7, x: 7}. What is prob of picking 2 x?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 59\/126 and 23\/35.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 172996 and 390659?\nAnswer: 709","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 6*581\/(-231) - 5*6\/(-330)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -23*p = -26*p - 4*q - 21, -2*p = -5*q - 32. Suppose -2*c + 48 = 4*b, 4 = b + 2. Calculate the remainder when c is divided by p.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:02 AM and 10:22 AM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -26 = 4*t - 146. Let c = 9 - 7. Suppose 50 = 4*n + c. Calculate the highest common divisor of t and n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 530769597.\nAnswer: 3, 17, 23, 43, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-60 - -48) + -1 + 20 + -13.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = 11*s + 126. Let h be p(-11). Find the second derivative of -42 - 16*m**3 + 6*m**3 + 10*m**5 + m + 10*m**3 + 19*m**h wrt m.\nAnswer: 580*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*o - 42 + 21 + 23 + 5*o**4 in the form j*o**2 + m*o + c + i*o**3 + b*o**4 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 644*r**2 + 294*r + 10*r**3 + 3*r**3 + 9*r**3 - 648*r**2 - 23*r**3 to the form z*r**3 + m + j*r + n*r**2 and give j.\nAnswer: 294","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Put -1913, -7, 7 in descending order.\nAnswer: 7, -7, -1913","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = -3*m - 2 + 6 + 5*m. Let v be o(5). Suppose -3*r + 2*f = 10 - 15, 5*r + 5*f - 75 = 0. What is the highest common divisor of r and v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 8909.529 hours to seconds.\nAnswer: 32074304.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-1 + -1)*(2 + -3). Suppose -7*r = -d*r. Suppose -2*k + 0 + 2 = r, -3*m - k + 112 = 0. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*z + 4*z - 270 = 0. Let j be 6*2\/((-4)\/(-6)). Suppose 3*n + 0 = j. Calculate the greatest common divisor of z and n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 74 (base 9) in base 4?\nAnswer: 1003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 15931 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Convert -8285 (base 10) to base 12.\nAnswer: -4965","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 11 - 30.8. Let v = g + 22. Let h = v - 0.2. Which is the closest to h?  (a) 2\/15  (b) -5  (c) -5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h = -4 - 2. Suppose 0*v + 4*v + h*m - 14 = 0, 0 = -3*v - m + 10. Find the second derivative of 4*o**v - o + o**3 - o**3 - 4*o wrt o.\nAnswer: 24*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (15 + -4)\/55 - 46692\/10. Sort 1, 0, p, -4 in decreasing order.\nAnswer: 1, 0, -4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 30, 60, 196, 510, 1074, 1960, 3240, 4986?\n\"Answer: 12*y**3 - 19*y**2 + 3*y + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor 22*c**3\/3 - 236*c**2\/3 + 154*c + 48.\nAnswer: 2*(c - 8)*(c - 3)*(11*c + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (228\/(-8))\/(78\/52).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*r - 3153*r**4 - 3*r**2 + 3149*r**4 - 2*r**2 - 2*r**3 + 1 to the form w*r**2 + o + x*r**4 + i*r + a*r**3 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-42)\/28 + (2 - 0)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*p + 145 = -p. What is the derivative of -2 + 16*k**2 - 16*k**2 - p*k**3 + 24 wrt k?\nAnswer: -87*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 7\/((-246)\/(-42) + -6). Are -49 and h non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -4.841 + 5. Let k = -64.841 - m. Let f = -64.999899 - k. What is f rounded to five decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together 0.1543783 and 7.8711.\nAnswer: 8.0254783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = -5*c**2 + 5*c - 5. Let k(v) be the third derivative of -v**5\/30 + v**4\/8 - v**3\/2 - 236*v**2. Suppose -u = 5 - 2. Calculate u*o(p) + 5*k(p).\nAnswer: 5*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q + 10 = -l + 2, -4*q - 5*l = -36. Let b = 69.081 - 0.081. Let w = b + -68.93. What is the third smallest value in q, -0.1, w?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 21360 and 1879680.\nAnswer: 1879680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -0.2  (b) -0.248  (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -29*c**2*m**2 - 755*c**2 - 241513*c - 18218411*m**3 wrt m.\nAnswer: -58*c**2*m - 54655233*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*((sqrt(189)*2 + sqrt(189))\/sqrt(9) - sqrt(336)*1))\/(sqrt(252)\/(sqrt(192)\/sqrt(3))).\nAnswer: 4*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -6 (base 8) in base 5?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = u + 11. Let i be n(-6). What is the third derivative of -q**5 - 5*q**5 + i*q**5 - q**2 wrt q?\nAnswer: -60*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 359 minutes after 9:25 AM?\nAnswer: 3:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -41, -131, -267, -437, -629?\nAnswer: -831","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from flllibluulilli. What is prob of sequence ubi?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2132*k + 1372 = -1111*k - 1070*k for k.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -29326 divided by 43.\nAnswer: -682","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = -t**3 + 2*t - 1. Let u be p(1). Let r be (-26)\/12 - (u + -2). What is the closest to 1 in -0.4, -5, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 2302392032 and 38.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = 1 - 1 - 1 + 4*j. Is n(2) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = -3*c - 6. Let r(s) = 1. Let a(i) = -l(i) - 4*r(i). Calculate a(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -16, 4, -3, -3\/8, -1\/8 in ascending order.\nAnswer: -16, -3, -3\/8, -1\/8, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 0.0299412 litres?\nAnswer: 29.9412","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-5 - -1 - -54) + 2 + (-15 - (-5 - 1)).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) be the third derivative of i**9\/30240 - i**8\/6720 + i**5\/10 + i**2. Let g(b) be the third derivative of l(b). Find the third derivative of g(r) wrt r.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -125 = 72*g - 47*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 163004 is divided by 27161?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v be -2 + 32\/(-6)*-6. What is the greatest common factor of v and 645?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = 1. Let x(k) = -k**2 + 2*k - 1. Let b(u) = 2*t(u) + x(u). Give b(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2216 (base 9) to base 12\nAnswer: b43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 8 - 4. Let l = 11 + -11. Suppose 344 = q*u - l*u. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -2.96 + -0.04. Let g = -3.2 - x. Let w be (44\/(-88))\/((1\/111)\/((-2)\/3)). Sort -2\/19, 0.5, g, w in ascending order.\nAnswer: g, -2\/19, 0.5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 65 = 5*j - 5*a, 5*j = 8*j - a - 37. Calculate the remainder when 56 is divided by j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 28685\/84 - 1022\/3. Find the common denominator of o and -95\/36.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from cccchhchhc. What is prob of picking 1 h and 3 c?\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/169, 84, -4\/45, 0.3, 1\/4, 1.\nAnswer: -4\/45, -2\/169, 1\/4, 0.3, 1, 84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = 2*b**2 - 3*b + 9. Let k(n) = n**2 - n + 3. Give -7*k(f) + 2*y(f).\nAnswer: -3*f**2 + f - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 35682 is divided by 2244.\nAnswer: 2022","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -1620, -3241, -4862, -6483, -8104?\n\"Answer: -1621*o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 0.02 + 0.19. What is the third smallest value in 2\/7, 1, c, -0.5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -10055 - -10055.3. Let m be (-10)\/(-8) + 1 + -2. Which is the closest to 2\/7?  (a) m  (b) -0.3  (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -24 + 28. Solve 0 = -4*w - t - 8 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.3 - -0.2. Let r be ((-4)\/6)\/(-2 - -3). Let h = 27121 - 27120.9. What is the closest to h in r, i, -0.5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-56571)\/(-9265))\/(9\/(-6)) - (-23 - -19).\nAnswer: -6\/85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 2565 - 1576. What is the hundreds digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-1584)\/(-12))\/11 + (0 - 11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Does 314 divide 380822340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = -2*g + 16. Let d be m(6). Suppose c = f - d*f + 5, -4*f + c = -2. Solve 3*h + f + 8 = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*z + z + z)*(0 - 2 + 7) + (-4*z - 7*z + 3*z)*(1 + 0 - 3) - z - 3 + 3.\nAnswer: 5*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h\/((h**(1\/13)*h)\/h)*h)\/((h*h*(((h*h**(-4\/3))\/h)\/h)\/h*h)\/h) assuming h is positive.\nAnswer: h**(127\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 14\/(-49) + -3 + 2\/7.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 203320331032 (base 4) in base 7?\nAnswer: 142653355","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*((sqrt(180) - sqrt(45))**2 - (-4 + (sqrt(5) + -1)**2 - sqrt(5))).\nAnswer: 18*sqrt(5) + 258","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) be the second derivative of -j**6\/180 - j**5\/60 - j**3\/3 + j. Let x(t) be the second derivative of m(t). Find the second derivative of x(o) wrt o.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = i - 3. Let t be j(9). Suppose -5*k + t*k - 3 = 0. Suppose 2*d - k*v + 0*v - 393 = 0, 210 = d + 3*v. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*r + 0*r = 935. Calculate the greatest common divisor of r and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 253, 1804, 6005, 14182, 27661, 47768, 75829?\nAnswer: 113170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 82171 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10*g + 31 = 11 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 25*z = 27*z + 16. Is (4\/(-4) - z\/4) + 182 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) be the third derivative of z**4\/6 - 22*z**3\/3 - 2*z**2 + 2*z. Let y(r) = r - 9. What is 3*n(x) - 14*y(x)?\nAnswer: -2*x - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 e and 1 r when two letters picked without replacement from eeeereeeeeeee?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = -94*w**3 - 7. Let q(p) = 93*p**3 + 8. Calculate -6*q(t) - 7*y(t).\nAnswer: 100*t**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 17\/6 >= -0.029?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1258*v + 4953*v - 1250*v - 1237*v - 1245*v.\nAnswer: -37*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g**3 + 203091*g**2 + 10311387024*g - 10311590116 = 0. What is g?\nAnswer: -101546, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*q**2 - 2162055370*q - 233724171147291845 = 0.\nAnswer: -216205537","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 32023725 and 28025.\nAnswer: 1475","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 213834284 to the power of 1\/2, to the nearest integer?\nAnswer: 14623","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -17*j = 2*z - 21*j + 10, 6*z + 19 = 73*j - 72*j for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 13  (b) -0.4  (c) 4  (d) -1\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Does 69 divide 1242?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 176067, 704289, 1584659, 2817177, 4401843, 6338657, 8627619?\n\"Answer: 176074*y**2 - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 3 divide 2871?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -1311 + 1378. Do t and 19 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -6.0698 + 0.4?\nAnswer: -5.6698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 5 + -3 + (-5)\/1. Let f = t - -1. Let k(g) = 0*g**2 - 3*g**2 - 2 - 4*g + 0*g. Calculate k(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -10 - -10.4. What is the nearest to 1\/3 in -2, -2\/7, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = -2*o**2. Let f(x) = -21*x**2 + 4*x. Let p(n) = -189*n**2 + 35*n. Let j(d) = 35*f(d) - 4*p(d). What is y(j(u))?\nAnswer: -882*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**(2\/17)*t*t**8)\/(t**(-7)*t*t**(1\/2)) assuming t is positive.\nAnswer: t**(497\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Express (-6*d + 2*d + 2*d)*(1 + 1 + 0) + (2 + 2 + 3)*(2*d + d - 2*d) as q + p*d and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from eeeeejeeeje. Give prob of sequence je.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is ((6\/12)\/(2\/(-8)))\/(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (1 - (40\/6)\/5)*-1. Let k = -43 - -300\/7. Which is the nearest to d?  (a) -4  (b) k  (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 69.1552 + -69.2. Let x = z - 0.4552. Which is the third smallest value?  (a) -4  (b) 3\/2  (c) x  (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 9324489 or 9324488?\nAnswer: 9324488","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -837 - -831. Let d = -2 + 23. What is the tens digit of -2 + d\/b*-18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**(2\/13)\/g*g)**(-22) assuming g is positive.\nAnswer: g**(-44\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4\/(-22) - 11\/(121\/(-552)).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 28.8 from 9375194.\nAnswer: 9375165.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -1397793*n**2 + 58*n - 62077421.\nAnswer: -2795586*n + 58","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*q + q - q)*((q - q + q)*(-3 + 4 + 1) - 2*q + 2*q - q + 0*q - q - q + (1 - 5 + 3)*(-4*q + q - q)).\nAnswer: -6*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(52)\/(sqrt(64)*4 - sqrt(4)) + 3 + (sqrt(13) + sqrt(13) + -2)*-2*5*3.\nAnswer: -899*sqrt(13)\/15 + 63","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-6188)\/510 + 945\/90*(-16)\/(-14)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -18 + 19 + 0 + -1 + -2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1.5157431 months to decades.\nAnswer: 0.0126311925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 69710, 69704, 69700, 69698, 69698, 69700, 69704?\nAnswer: 69710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -42 (base 7) to base 5\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = -64*c - 1. Let n be g(1). Let o be (-3094)\/n + ((-8)\/10)\/(-2). Suppose 0 = 2*b - 5*h - o, -b + 3*h + 14 + 12 = 0. Solve -4*w = b + 6 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -261 (base 12) in base 8?\nAnswer: -551","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 6639282 divided by 130182\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: (582\/2619)\/(5\/9)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*x = 3*c + 83, 3*x + c = 2*c + 61. Let p be (5\/(x\/(-24)))\/(-2). Factor -10*g**4 + p*g**5 - 11*g**5 - 2*g**3 + 40*g**2 - 40*g**2.\nAnswer: -2*g**3*(g + 1)*(4*g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 23\/72 and 9\/40.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 4393*i**3 + 238*i**2 - 42*i wrt i?\nAnswer: 26358","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 65280881 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = g**3 + 8*g**2 + 2*g - 2. Let p be d(-8). Let i be (-1 - 24\/p)\/((-40)\/12). What is the fourth smallest value in i, -3, 2, -1\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = 2*h. Let y be (2 - 0)*15\/10. Let s(g) = -11 + 11 - y*g**2. Give c(s(w)).\nAnswer: -6*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*a + 4*t - 1625 = 0, 1938 - 602 = 4*a - 4*t. Let p = 30 - 21. Let h be (-2)\/p - a\/(-63). Solve 3*w = 3*d + 2*d - 24, -h*d = -4*w - 27 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-4 + 1 + 2)*(3*d + 2*d - 4*d) + 2*d - 3*d + 0*d + (12*d - 486 + 486)*(-1 - 2 + 4) to f + h*d and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-70)\/(-3))\/((-48)\/144). What is the hundreds digit of (-47)\/((-21)\/d*3\/(-27))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -248, -972, -2178, -3866, -6036, -8688, -11822?\nAnswer: -15438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = c**3 - 4*c**2 - 3*c - 5. Let d = 6 - 10. Let u = d + 9. List the prime factors of x(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 4.49749 to 1 decimal place.\nAnswer: 4.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1803 is divided by 44.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -63, -137, -217, -303, -395, -493, -597?\nAnswer: -707","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -12271\/9 or -1363?\nAnswer: -1363","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) be the first derivative of -3*d**2 + 3 + 2\/3*d**3 - 3*d. What is the tens digit of h(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*z = -127*p - 653, 5*z - 2*p + 26 = -9 for z.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m\/(m*m**(-2\/9)\/m))**(-5\/6))**33 assuming m is positive.\nAnswer: m**(-605\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is (6006\/936)\/((-35)\/(-40))?\nAnswer: 22\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 162*-1*6\/(-9). Suppose 0 = 5*s - 303 + m. Does 14 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 2.74705 - 25.77125. Let m = 23 + k. What is m rounded to 3 dps?\nAnswer: -0.024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8.8339572 milliseconds in hours?\nAnswer: 0.000002453877","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -1e85ccd0 + -4?\nAnswer: -1e85ccd4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y = a - 7, -5*y - 12 - 1 = 2*a. Let k(s) = -22*s + 42. Let z be k(0). Suppose -z*i = -36*i - 18. Put -4, 5, a, i in descending order.\nAnswer: 5, i, a, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 48 + -8. Suppose -5*q + 765 = d. Suppose -5*r + 0 = -q. List the prime factors of r.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3083 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 381, 384, 391, 402, 417, 436, 459?\nAnswer: 486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 3\/7, 2\/21, 70, 0, -8?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 15\/4 of a microgram?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*f = -7*f + f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 35\/60*(-8055)\/17900*(-16)\/42?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -740 + 110*v**2 - 103*v**2 + 2*v - 2*v + 740.\nAnswer: 7*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = 1855 + 16*j**2 + j**3 - 1800 - 21*j + 24*j. Give i(-16).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -61\/27 and 53\/156?\nAnswer: 1404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-735)\/(-39) + (-3)\/(195\/(-10)). Solve -20*o - 1 = -d*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -14032240 - 41240?\nAnswer: -14124030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 5*(5\/2 - -2)*(-124)\/930?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = c + 2*c + 5*h + 1, -3*h + 9 = 3*c. What is the lowest common multiple of (1\/1)\/((-1)\/(-6)) and c?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 at most 0.3171594?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 4721, 5338, 6029, 6800, 7657, 8606, 9653?\n\"Answer: z**3 + 31*z**2 + 517*z + 4172","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*i**5 + 13984*i**4 + 1672824*i**3 + 65021504*i**2 + 828374188*i = 0. Calculate i.\nAnswer: -43, -31, 0, 3613","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = -1402*a + 1. Let n be h(-5). Let l be n\/(-3) + (2 - 5). What is l rounded to the nearest one hundred?\nAnswer: -2300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7.595092 weeks in seconds?\nAnswer: 4593511.6416","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 305.017 - 309.017. Let i = 6.4 - 6. Sort 3, 2\/57, i, n in decreasing order.\nAnswer: 3, i, 2\/57, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12496493 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f + 10 = 3*f. Let n be 2\/(-5) - (-17)\/f. Let d = n - 3. Solve d = -4*r + 2*t - 2, r - 6*r + t = 1 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 2 + d)*(4*d**4 + 2*d**4 - 2*d**4 + (-d - d + 0*d)*(2*d**3 + 0*d**2 + 0*d**2) - d**4 - 5*d**4 + 4*d**4).\nAnswer: -2*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 88704714.\nAnswer: 2, 3, 7, 2112017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Does 47 divide 14758?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -82.6 rounded to the nearest integer?\nAnswer: -83","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -4 * -0.65\nAnswer: 2.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Determine i so that -i**4\/6 + 2*i**3\/3 + 13*i**2\/6 - 20*i\/3 - 8 = 0.\nAnswer: -3, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 1392\/(-21) + 3 + (-76)\/28. Let a = c + 62. What is the least common multiple of ((-50)\/a + -4)\/((-3)\/(-6)) and 4?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w = 2*w + 15. Put w, -2, -1.1 in increasing order.\nAnswer: w, -2, -1.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 u, 1 r, and 1 v when three letters picked without replacement from vrvvovaaooovvvuoo.\nAnswer: 7\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -507 - -512. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -3*f**3 + 1707*f**2 - 8472*f + 6768 = 0. Calculate f.\nAnswer: 1, 4, 564","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -4 + 7. Suppose 266 = f*n - 4*j, 3*j - 4*j + 451 = 5*n. Does 12 divide ((-4)\/10)\/((-3)\/n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 298063 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*r = -5*r + 6*r. Solve 3*n + 5*l = -r*n - 1, -2 = 2*n + 2*l for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4 - 4 - 2*x + 3 - 3 - 2*x + (1 - 1 + x)*(5 - 2 - 2) - 2 - x + 2.\nAnswer: -4*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -2 - -4. Let s be -17 - (-1 + 0)*2. Let m = s + 12. What is the second smallest value in m, 1, g?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1 + -2 + 4 + 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.2 in -1, -222, -116?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 27\/(-9*(-6)\/360*-4)?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Work out 179194 + -0.02.\nAnswer: 179193.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 16 and 204.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -506582.8199 rounded to the nearest 100000?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(88) + (sqrt(88) - 2*-1*sqrt(88)))\/sqrt(8)*-5.\nAnswer: -20*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -4, 35, 4 in increasing order.\nAnswer: -4, 4, 5, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a*(((a\/a**(-1\/2))\/a)\/a*a)\/a)**6*a**7\/a*a*a**(3\/7) assuming a is positive.\nAnswer: a**(73\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = -249*c**2 - 6*c + 12. What is j(0)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 453 and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 71357 and 34346?\nAnswer: 188525194","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 15748128?\nAnswer: 2, 3, 11, 1657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(228)\/(sqrt(12)*-2) + 5.\nAnswer: -sqrt(19)\/2 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -42*-1640\nAnswer: 68880","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g*g*g**4)**(-50)\/(g**9\/g**6))**(2\/75) assuming g is positive.\nAnswer: g**(-202\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 266 minutes before 11:06 PM?\nAnswer: 6:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*n = 13*n - n - 674540. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (0 - 1) + (-2 - 1). What is the second biggest value in a, -0.5, -11?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in 2.7, -5, 24, -3?\nAnswer: 2.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 35, -2\/493, -5, -25 in descending order.\nAnswer: 35, -2\/493, -5, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*sqrt(204)\/(sqrt(36)\/sqrt(3) + sqrt(12)))**2.\nAnswer: 17\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = c**2 + 15*c + 42. Determine t(-15).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 110*v + 3*t + 13 = 115*v, 3 = -v + 2*t for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*p**2 - 4*p**2 - 12*p**2)*(-5*p**2 + 4*p**2 + 2*p**2) + (-10*p**4 - 10*p**4 + 16*p**4)*(-2 + 1 + 0).\nAnswer: -7*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -459*r**2 - 27*r + 33*r + 384*r**2 - 815*r**2 - 6*r.\nAnswer: -890*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 807, 1341, 1585, 1533, 1179, 517?\n\"Answer: -x**3 - 139*x**2 + 958*x - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = 14*x**2 + 13*x + 38. What are the prime factors of l(-8)?\nAnswer: 2, 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 31\/2 of a litre in millilitres?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 115 minutes before 2:35 PM?\nAnswer: 12:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve n**4 - 64917*n**3 - 3*n**2 + 194749*n + 129834 = 0 for n.\nAnswer: -1, 2, 64917","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c*(c*c\/(c*c\/c**(2\/13)*c))\/c)\/c)**25*(c**0)**7 assuming c is positive.\nAnswer: c**(-600\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 309044807 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 115\/126 and -22\/15957.\nAnswer: 223398","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*v + 4*t + 6635 + 2994, 0 = -3*v - 3*t + 9657. What is the thousands digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.06 - 80646009\nAnswer: -80646009.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 588861*l**3 + 314*l - 622 wrt l.\nAnswer: 3533166*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d**1)**8)**(-47\/3)*(d*(d**0*d)\/d)**(2\/5)*(d**(-2\/3)\/d)**25 assuming d is positive.\nAnswer: d**(-833\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Divide 77830 by -5.\nAnswer: -15566","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4 + (-8 - -4) + 1 + -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-2 - -3)*(8 - (5 + 0)). Suppose 4 = -0*j + 2*j. Solve p*u + 4*w = -2*u, j*w = 4*u + 26 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 q, 1 r, and 2 s when four letters picked without replacement from rkrrrkiqkkurkss.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 69594?\nAnswer: 2, 3, 7, 1657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3\/14, -7, 39\/14, -0.4.\nAnswer: -7, -0.4, -3\/14, 39\/14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 9 - -71. Let o = w - 77. Suppose -2*d = d - 12. Which is the closest to 1\/4?  (a) d  (b) o  (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = -o**3 + 5*o**2 + 7*o + 18. Let x be y(6). Suppose 4 = -6*i + 7*i, 0 = -4*d - 2*i + x. Sort d, 25, -2\/17, -0.1 in descending order.\nAnswer: 25, d, -0.1, -2\/17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -313, -1182, -2645, -4702?\n\"Answer: -297*v**2 + 22*v - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from cvbjflc. Give prob of picking 1 v and 1 f.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {o: 8, d: 4, g: 2, r: 3, w: 2}. What is prob of sequence wd?\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*j + 5*j + 13*j + 46 = 19*j + 4*t, 4*j + 14 = 6*t - 52 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -1.9, 4, 0.4, 3363, 128?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p = -6 + 12. Let l = -4 + 4. What is t in -1\/2*t**3 - t**4 + l + 0*t + 1\/2*t**p = 0?\nAnswer: -1, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12702193 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express -5*z + 2*z + 2*z - 5 - 1 as g*z + p and give p.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -236*s**3 - 4*s**2 + 268*s - 13.\nAnswer: -1416*s - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 44*z**3 + 3*z + 8*z - 10 - 4*z - 5*z wrt z?\nAnswer: 264*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 280\/(-84) + (2 - 1) - -3\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 4, 3, 101722.\nAnswer: -5, 3, 4, 101722","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = 887*t + 4047. Does 15 divide v(37)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 5362 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*j - 2*m + 5 = 0, 4*j + 21 - 42 = -5*m for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -402*u + 392*u + 50 = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 13 a factor of 89212?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**1*l)**(-12\/7)\/(l**1)**(-6\/19) assuming l is positive.\nAnswer: l**(-414\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify n**(1\/21)*n**(-27)\/n assuming n is positive.\nAnswer: n**(-587\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 137\/6 and -83\/2170?\nAnswer: 6510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 2167, 2150, 2129, 2104, 2075, 2042, 2005?\n\"Answer: -2*p**2 - 11*p + 2180","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Determine d so that -d**5\/3 + 475*d**4 - 18380*d**3\/3 + 33820*d**2\/3 + 32032*d - 112960\/3 = 0.\nAnswer: -2, 1, 4, 10, 1412","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = -6*j**2 + 5436 - 5436. Let y(s) be the first derivative of -4*s**2 + 1. Give u(y(m)).\nAnswer: -384*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*h = -o - 2 - 5, -2*o - 2 = 2*h for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -206122*j**5*n**3 - 3*j**2*n**3 - 58899*j*n**3 wrt j.\nAnswer: -12367320*j**2*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 12272 + -306737\/25. Calculate the common denominator of k and 97\/130.\nAnswer: 650","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth smallest value?  (a) -44  (b) -0.2  (c) 26\/5  (d) -0.3  (e) -2  (f) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 divided by -1482?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.04507501 to five dps.\nAnswer: 0.04508","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, 4, 313, -3, 9 in increasing order.\nAnswer: -3, -1, 4, 9, 313","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) be the third derivative of l**5\/6 + 23*l**4\/3 - 4675*l**3\/3 + 2703*l**2 - 2*l. What is the derivative of d(z) wrt z?\nAnswer: 20*z + 184","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k*k**(-1))\/(k\/((((k\/k**(-7))\/k)\/k)\/k*k)))\/(((k**(-2\/5)*k)\/k)\/(k*k**(1\/2))) assuming k is positive.\nAnswer: k**(69\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 2103347?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 443877229 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-17)\/(-4) + 3\/(-12). Suppose -3*c - 20 = -2*m + 3*m, 10 = -3*c + o*m. What is the units digit of (-34)\/c - (-4)\/(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -67\/81090 and -95\/75684.\nAnswer: 1135260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0000054926 rounded to 6 decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*u = 16 - 26, -4*u - 4 = -4*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (j**2 - 2*j**2 + 2*j**2 - j)*(-85 - 80*j + 85).\nAnswer: -80*j**3 + 80*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:09 PM and 11:35 PM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = l. Let b be t(1). Let y = 95 + -949\/10. Is b at least as big as y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -85\/28506064 and 1\/3184188.\nAnswer: 598627344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 9156.\nAnswer: 2, 3, 7, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 286*f + 1350*f + 47444 for f.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.028638 - 0.0278. Round p to four decimal places.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -13522236*m**3 - 2*m**2 - 2*m + 277031387?\nAnswer: -40566708*m**2 - 4*m - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 78934, 78950, 78970, 79000, 79046?\n\"Answer: i**3 - 4*i**2 + 21*i + 78916","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -0.4, 2, 4, -0.2, -19.5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = -2*y**3 + 67*y**2 - 36*y + 4891. Determine x(35).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2*i*z**2 - 197*i + 14613408*z**2 + 20037*z wrt z?\nAnswer: -4*i + 29226816","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -4 - -5. Suppose 163 + 67 = -2*j. Let o = j - -577\/5. Put o, -2, r in decreasing order.\nAnswer: r, o, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 t, 1 c, and 1 e when three letters picked without replacement from leecewecetwcwwwew.\nAnswer: 9\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2*c**4*s**3 - 102*c**4*s**2 + 24*c**2 - 3*c*s**3 wrt c?\nAnswer: 48*c*s**3 - 2448*c*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 345 minutes after 1:01 AM?\nAnswer: 6:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -13*r - 19*r**4 + 2*r**3 - 4*r**2 + 5*r**2 - 11 - 15*r + 9 to n*r**4 + o*r + d*r**2 + b*r**3 + s and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"}
{"text":"Question: Is 396054011 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1272?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-3*sqrt(21))\/sqrt(7)*-1 + sqrt(12)\/(sqrt(3564)\/sqrt(11)))**2.\nAnswer: 784\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 350.94098 - 338.941. Let o = -12 + c. Round o to 6 decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 91653 and 1233?\nAnswer: 411","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -13 + 2 + 0 + 3 + 14 + -8.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 41645.25l in millilitres?\nAnswer: 41645250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + 4*(sqrt(280)\/sqrt(7))\/sqrt(8).\nAnswer: 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y = a + a + 18, 4 = 2*y + 4*a. Suppose n - y*n + 177 = 0. Round n to the nearest 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 2211, 4426, 6641, 8856, 11071, 13286?\n\"Answer: 2215*w - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 192763.\nAnswer: 17, 23, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*o + 1 = 4*h + 5, 0 = 4*h + o - 6. Let t be h*((0 - 2) + -1). Let a be (t\/9)\/(3\/(-117)). Solve -4*z = -a - 7 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -94 and 5.\nAnswer: -470","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, 48, 1, -5, 4, 23 in descending order.\nAnswer: 48, 23, 4, 1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**19\/p**(-3\/2))**(-47) assuming p is positive.\nAnswer: p**(-1927\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 2576 and 1335012?\nAnswer: 644","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = -89*w + 472. What is the hundreds digit of z(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*n - 6 = 14*n. Let h be 12\/(-8) - n\/4. Solve 3*i + 6 = 3*d - 3, h = -d + 3*i + 1 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -1341.8 + 1341.5. Suppose 3*j + 0*j = -177. Which is the smallest value?  (a) j  (b) i  (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 0.8508  (b) -19\/29  (c) -0.3  (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 4 + 2)*(-5 + 10 - 2 - 4 + 1 + 2 + (-2 + 5 - 2)*(-4 + 3 - 1) - 1 - 3 + 6)*(2*k - 2*k + k).\nAnswer: 14*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2 + 3*u**3 + 3844*u**2 - 3846*u**2 + 31*u + u**4 - 4*u**4 + 0*u**3 to i*u**2 + l*u**3 + y + b*u**4 + f*u and give f.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -0.1  (b) 9\/4  (c) 0  (d) 1.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = -i**2 + i + 1. Let s be -4*(42\/8)\/7. Let j be s*(-2)\/(-24)*4. Let v(u) = u**2 + u + 1. Let t be (-4)\/(-90)*5 - (-14)\/18. What is j*v(q) + t*g(q)?\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 8353 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-2)\/(1\/((-215)\/(-2) + -2)). Let c = 174 + o. Which is smaller: c or 1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q**(-1)*q)**(3\/8)*(q**10*q)**(-1\/2))**30 assuming q is positive.\nAnswer: q**(-165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 53 = 7*g + 18. Let t(i) = 5 - 6*i - 4 - 3 + g*i. What is t(4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 140 = 4*x - 2*x + 2*m, -5*x = -3*m - 350. Suppose 0 = 7*k - 2*k - 75. Let h = k + -8. Calculate the highest common factor of h and x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 358*w = 354*w - 12*i - 100, -4*w + 5*i - 117 = 0 for w.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -12245 - 5*y + 12*y + 4*y + 12245 - 29*y**2.\nAnswer: -29*y**2 + 11*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 91429054?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = z**2 - 7*z + 19. Let o be d(2). Let h(l) = -5*l**2 + 4*l**2 + o - 4 + 10*l - 8. Give h(6).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-1)\/(-2)*(-66 + 18). Let s(l) = -5*l - 24. Is s(v) a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 417 = 11*q + 2*l + 22 + 52, 0 = 4*l - 4 for q.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -21032 (base 10) in base 16?\nAnswer: -5228","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from iixwwxiw. What is prob of picking 3 i?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(2) + (sqrt(18) - sqrt(2)) + 1 - sqrt(6)\/sqrt(3)*-2.\nAnswer: 1 + 5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1.7 + -0.7. Let i = 3668.4 + -3667.399952. Let n = i - z. Round n to five decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-86 - -211) + -44 + -57.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o be -3 - ((-18)\/4 - (60\/(-8) - -6)). Let c(s) be the third derivative of 1\/3*s**3 + o*s - 1\/30*s**5 - s**2 + 0 + 0*s**4. Find p, given that c(p) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*z + 4*g + 23456, 13*g - 15*g - 23446 = -4*z. What is the hundreds digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 2988108 to the nearest integer?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 2\/(12\/8519) - (-9 - (-424)\/48) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*c + 414 + 76 = 0. Suppose g - 4*r + 6*r - c = 0, -196 = -2*g + 4*r. What is the greatest common divisor of g and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-21650)\/(-1732))\/((-6)\/((-384)\/40))?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 33*u**3 - 23909*u + 23909*u - 5*u**2 + 3*u**2 to f*u**2 + h*u**3 + r + l*u and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = a**2 - 119*a - 8274. Determine t(168).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) be the first derivative of -w**6\/42 + 2*w**5\/35 + 3*w**4\/14 - 20*w**3\/21 + 19*w**2\/14 - 6*w\/7 - 215. Factor z(i).\nAnswer: -(i - 2)*(i - 1)**3*(i + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g + 39 = -3*o, -2*o - 4*g - 30 = o. Is (-4)\/o + 766\/14 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-18)\/(-27))\/(3\/(-27))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 153 a factor of 104784?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {v: 8, q: 7, o: 5}. What is prob of sequence ovqo?\nAnswer: 28\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = w**3 - 93*w**2 - 3517*w + 15636. Give h(121).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 2289104 and 406?\nAnswer: 464688112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5 + 9 - (0 + -1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -2ff99c + -4?\nAnswer: -2ff9a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c - p + 50 = 0, -3*c + 8*p - 130 = 10*p. Which is bigger: c or -45?\nAnswer: -45","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 20259699 is divided by 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 2402.9999998907 - 2403. Round j to seven decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -5.2 * -0.491\nAnswer: 2.5532","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = -k + 8. Let f be o(-7). Let v be (-1485)\/(-115) + (-25)\/((-9775)\/34). Solve -a - f = -v for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 3227 and 140.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i - 34 = -5*b, 4*i + i = 5*b - 25. Suppose 5*x + 53 = -22. What is the remainder when 36\/x*(-150)\/12 is divided by b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = j**2 - 4*j - 28. Let y(v) = 2*v - 1. What is p(u) + 2*y(u)?\nAnswer: u**2 - 30","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 67385836 and 1513155?\nAnswer: 1010787540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*q**4 - 3*q**4 + 6*q**4 + (0*q - 2*q + 0*q)*(-3*q**3 + 29*q**3 + 16*q**3).\nAnswer: -83*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in seventeen halves of a centimeter?\nAnswer: 85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1804771 divided by -11.\nAnswer: 1804771\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1.5 - -2. Let p = 23 + -24. Let t = -5.8 - -6. What is the closest to p in t, v, -4\/9?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-l**2 + 2*l**2 + 4*l**2)*(324*l + 812824*l**2 - 812829*l**2 - 15*l) to the form q*l**3 + z*l**4 + v*l**2 + n*l + t and give q.\nAnswer: 1545","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1 + ((-3)\/4 - (-90)\/24).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 171*k*v**2 + 36*k*v - 486267*k + 235*v**2 wrt v.\nAnswer: 342*k*v + 36*k + 470*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((3*6*(-1 + sqrt(539)) - -5*(0 + sqrt(539))*4) + -4 + -2)**2.\nAnswer: -12768*sqrt(11) + 778892","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*x + 19 = t, 6*x - 26 = -t + 4*x. List the prime factors of t\/20*(-10)\/(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 (base 11) in base 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 4\/18 + 6 + (-305)\/(-45). Sort 2, -4, -1, v in increasing order.\nAnswer: -4, -1, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -145585827, -145585817, -145585807, -145585797, -145585787?\nAnswer: -145585777","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (118\/(-4) - -1)*(-6)\/9. Suppose 13 = i*k - 25. Solve -3*u = -k*x - 19, -3*x - 7 = -3*u + 14 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 916 is divided by 38?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from viuzvzzvuxvzfxfzv?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*l - 4*m - 29 - 33 + 10 + 14 = 0, 4*l - 37*m - 14 = 0 for l.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1921 = -141*g - 10099 for g.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -19320476 divided by -623\nAnswer: 31012","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1910*d = 1804*d + 3392 for d.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 391.82183 rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*c - 2*c - 2*c)*(-3*c - c + 2*c) + (3 + 4 - 4)*(-5*c**2 - 5*c**2 - 4*c**2).\nAnswer: -40*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*i = 16*i - 22 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 65 or -812?\nAnswer: 65","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 6\/12*(-12)\/21\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-9)\/(-3)*(-91)\/(-273)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 2 and 39216.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-18)\/8)\/(5\/(-20)). Suppose 0*j - 3*j = -y. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -2978, -2969, -2960, -2951, -2942?\n\"Answer: 9*z - 2987","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:13 AM and 9:01 AM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = x**3 + 18*x**2 - 13*x - 27. Does 10 divide c(-18)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + ((((sqrt(1620) - (sqrt(1620)*2 - sqrt(1620))) + sqrt(1620) - sqrt(1620)) + sqrt(1620))*-5)\/(-3*(sqrt(225)*2 - sqrt(225))).\nAnswer: -3 + 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -12ebdc - -7e?\nAnswer: -12eb5d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = -5*q**3 - 208*q**2 - 48*q - 5481. Give c(-42).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 958*m + 3264 = -917*m + 1939*m. Let v(t) = 2*t**2 + 7*t + 3. What is the remainder when m is divided by v(-5)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -1097 + 1096.6. Put 5, -4, -43, 1, s in decreasing order.\nAnswer: 5, 1, s, -4, -43","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = -q**3 - 5*q**2 - 2*q - 7. Let c be l(-5). Suppose 9 = 4*o - o. Let t = -80 + 83. Solve c*p - 12 = -t*n, -3*n + o*p + p = -19 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -16 by 13467819.\nAnswer: -16\/13467819","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3817*x - 89681 - 43914 for x.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = 4*r**3 - 11*r**2 + r + 34. Is 33 a factor of j(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = -6*j + 9. Let v(t) = 5*t - 8. Let x(o) = -5*v(o) - 4*w(o). Let a(r) = 3*r - 9. Calculate 2*a(u) + 5*x(u).\nAnswer: u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -56 - (17 - 76 - 46)\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 270288, 270475, 270662?\nAnswer: 270849","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-90)\/((-171)\/(-19)))\/(4\/(-2)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.01808162239 rounded to 6 dps?\nAnswer: 0.018082","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/7?  (a) -0.47  (b) -2  (c) 0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -0.03 + 0.66. Let s = v - 36.03. Round s to the nearest integer.\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-6*k**3 + 0*k**3 + 4*k**3)*(8 + 1123*k + 9 - 4115*k - 17) to the form r*k + x*k**2 + v + p*k**4 + l*k**3 and give p.\nAnswer: 5984","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 5 - 1. Let i = -4.3 + l. Let u = 0.69 - 1.19. Which is the third biggest value?  (a) i  (b) -1  (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 9*g**4 - 364 + 15*g**4 - g**2 - 30*g**4 + 6*g**4 - g**3 + 1234*g**5 wrt g?\nAnswer: 74040*g**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o = -4*k + 2*o - 13, -2*o - 8 = 5*k. Let g = k + 22. Solve -6*l = -l + g for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*t = 7*t + q + 6, 4 = -2*q. Suppose 24 = v - 0. Find the third derivative of 6*g**t + 24 - 7*g**4 - v wrt g.\nAnswer: -168*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:51 AM and 10:00 PM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -1458099*d**4 - 58*d*v + 132*v + 4823 wrt d?\nAnswer: -5832396*d**3 - 58*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 367.6617 millilitres to litres.\nAnswer: 0.3676617","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -10560a3 (base 11) in base 12?\nAnswer: -754315","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:52 AM and 12:44 PM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 281764?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p be -1 - (4 - 15 - -5). Solve 3*l + p*s = 5, 7*l - s + 1 = 2*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -0.2, 7430, -2, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((8\/10)\/(1 + (-780)\/100))\/1.\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = 1213*m - 2. Is p(1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (6\/(-4))\/((-27)\/360).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a*(a*a**(-30))\/a)\/a)\/((a**(-2\/49)\/a)\/a) assuming a is positive.\nAnswer: a**(-1370\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) be the third derivative of 7*b**6\/120 - 127*b**5\/30 + 3*b**4 - 90*b**2 - 2. Factor c(l).\nAnswer: l*(l - 36)*(7*l - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (0 + -177)*13\/13 + -3. Let f be (9\/5 - 1)\/(72\/g). Which is the smallest value?  (a) -104  (b) f  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (14\/8)\/((-7)\/(-28)). Let o(i) = i**2 - 7*i + 5. Let q be o(r). Factor -2*g + 8*g**2 - 12*g**3 + 0*g + g**4 + 7*g**4 - 2*g**q + 0*g.\nAnswer: -2*g*(g - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -h + 20 + 26. List the prime factors of h.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) be the first derivative of -7*x**6\/27 + 116*x**5\/45 - 92*x**4\/9 + 544*x**3\/27 - 176*x**2\/9 + 64*x\/9 - 37. Solve a(n) = 0 for n.\nAnswer: 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ssqssszeeseez. What is prob of picking 2 e and 1 q?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -2, -1\/3, 31 in descending order.\nAnswer: 31, 0, -1\/3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -7 + -1 + 0 - 0?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*a - 2166 = -105*a. What is the least common multiple of a and 874?\nAnswer: 874","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*g - 10 = 0, 0 = -124*w + 119*w + g - 8 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) be the first derivative of 13*o**2\/2 + 11*o - 8958. Let h(g) = 14*g + 12. What is -6*h(f) + 7*r(f)?\nAnswer: 7*f + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 668.5776 millilitres in litres?\nAnswer: 0.6685776","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -16*(-161)\/21896 - (2 - (-1696)\/(-34)).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -14 + 33 + -31 - 243\/(-162)\nAnswer: -21\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 775030*u + 775026*u - 1550070*u.\nAnswer: -14*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -218227*u = -215556*u - 213680 for u.\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 - -2569411642052.\nAnswer: 2569411642055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -14, -65, -200, -461, -890, -1529, -2420, -3605?\n\"Answer: -7*j**3 - 2*j - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*u + 1078*y - 1087*y - 7, 5*y = -5*u - 35 for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 3, -0.15, 0.4, 0, 2, -444?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = 32*y**3 - y**2 + 3*y - 2. Let z be a(2). Let x be -178 - (1 + 49\/(-21))*3. Let b = x + z. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 35 - 26. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -17\/405 and -47\/37827.\nAnswer: 189135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 44 = 2*t - 16. Let b = t - 12. Is b a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*c - 20 = -5*d, -636*d = -34*c - 641*d + 20 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 + 867\/1190 - (-440)\/(-616)?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1210120 (base 3) to base 6.\nAnswer: -10023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 5\/4 of a decade in months?\nAnswer: 150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d*d*d\/((d*d**(-4))\/d)*d*d*d)\/(d\/(d\/(d*d\/((d\/d**(1\/2))\/d)))))\/(d**0)**33 assuming d is positive.\nAnswer: d**(15\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 g and 1 i when two letters picked without replacement from igxqq?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -245 - -116. Let t = -131 - j. Let c(d) = 3*d**3 + 2*d**2 + 2. Determine c(t).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = -s**3 + s + 8. Calculate h(-4).\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-2)\/8 + (135\/(-36) - -9). Let h(s) = -17*s + 2. Let r be h(-1). Which is greater: r or z?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-30)\/(-4))\/(4\/(-16)). Let v = u + 51. Calculate the greatest common factor of v and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5473981.\nAnswer: 223, 24547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is k in -2*k**3\/3 + 2*k**2\/3 + 8*k\/3 - 8\/3 = 0?\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -113, -225, -337?\n\"Answer: -112*f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is (-6 - (-102)\/(-3))*((328 - 331) + (-94)\/(-30))?\nAnswer: -16\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 10\/(1 - 3) - (0 - -30)\/(-6). Let i be (4\/(-10))\/((-3)\/15). Solve -x - i*x + 3 = r for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-1767)\/(-247) + -7)\/(437\/897)?\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x - 2*v - 2 = 0, -5*x = 4*v - 5*v - 1. Put x, -12, -4 in decreasing order.\nAnswer: x, -4, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -7 and 222.068?\nAnswer: -1554.476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 12 - 5. Let m(d) = -d**3 + 4*d**2 + 9*d - 9. Let o be m(6). Let t = 39 + o. Calculate the remainder when t is divided by v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence yj when two letters picked without replacement from {y: 2, w: 1, j: 3, o: 6}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((2 - 4 + 3)*(-1 + 3 + 2) - 1 + 2 + 0 + 0 - 5 + 3 + (-3 + 3 - 2)*(5 + 0 - 3))*(-11*f + 11*f - f**4).\nAnswer: f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6600505?\nAnswer: 5, 17, 19, 61, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 23493.\nAnswer: 3, 41, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.4800062 - 0.48. What is d rounded to 6 dps?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -6, -19, -50, -105, -190, -311?\nAnswer: -474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 8*k*p*w**2 - 13*k*p - p*w**2 - 163*w wrt k?\nAnswer: 8*p*w**2 - 13*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -35*j + 55*j = -60. Suppose -3*c + c = 4*z + 54, 3*z = -4*c - 38. Let f(w) = -6*w - 14. Let o(l) = l + 3. Determine j*f(b) + z*o(b).\nAnswer: 4*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -1900 - -17081\/9. Find the common denominator of r and (219\/12)\/(105\/20).\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13 = 4*r - 57. Suppose -r*n = -6*n - 1015. What is the tens digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 349821 and 5130708?\nAnswer: 15392124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 360 and 56.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 8311921 and 183.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find z, given that -4*z**4\/7 - 16*z**3\/7 - 24*z**2\/7 - 16*z\/7 - 4\/7 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2*u**2*y**4 - 2*u**2*y**3 - 2*u**2*y + 10*u*y**2 + 10*y**4 + y**2 wrt y.\nAnswer: -48*u**2*y - 12*u**2 + 240*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 130738 and 262?\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -317 + 319. Suppose -5*q = 5*s - 540, 5*s = s - j*q + 424. What are the prime factors of s?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t + 8 = -19. Let j be (-2 - -1) + (-3 - t). Let l = -1 - -3. Solve 2*a = -j*y - 21, 3*a - l*y - 12 = 4 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1 and 211.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*o + k = o + 13, -14 = 60*o - 58*o - 3*k for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2781, -2889, -2997, -3105, -3213, -3321?\nAnswer: -3429","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -44 - -2384593888.\nAnswer: 2384593844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is -20570525 greater than -390839988\/19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -68478, -69816, -71154, -72492, -73830?\n\"Answer: -1338*v - 67140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 770 is divided by 112.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00000176467753 rounded to 7 decimal places?\nAnswer: 0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4797859 is divided by 1321?\nAnswer: 1308","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) be the third derivative of -1\/1260*z**7 + 37\/360*z**6 - 19\/5*z**5 + 1369\/36*z**3 + 0 + 0*z - 37\/72*z**4 - 151*z**2. What is c in n(c) = 0?\nAnswer: -1, 1, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 63510?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -24\/5 in 1\/4, 2\/11, 35823, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1647, -1814, -1991, -2178, -2375, -2582, -2799?\nAnswer: -3026","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = 90*o + 2881. Let n be g(-32). Which is the closest to 1\/4?  (a) n  (b) 0.261  (c) -0.05  (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 51 = 17*s - 119. Calculate the least common multiple of 100 and s.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -18206.861232 rounded to the nearest 1000?\nAnswer: -18000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 10 divided by 2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 1331, 2659, 3989, 5321, 6655, 7991?\n\"Answer: l**2 + 1325*l + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -304 (base 11) to base 8\nAnswer: -557","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 583384065?\nAnswer: 3, 5, 11, 1831, 1931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 82 - 22. Suppose -d = -2*p + 136. Factor -252*n**3 - 143*n**2 - 4 - 37*n - p*n**4 - 4 - 75*n**2 - 35*n.\nAnswer: -2*(n + 1)**2*(7*n + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in -0.1, -1, 0, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c be -2*((-87)\/18 + (-4)\/24) - 5. Solve 5*n = -2*h + 7, c*h = -5*n + 15 - 5 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -15283 - -15807.98. Let m = i - 521. What is m rounded to zero dps?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 43 = 3*i - 5*z - 41, 3*i - 3*z = 78. Suppose -2*a - g = 104, 0 = 6*a - 4*a + 5*g + 88. Let u = -42 - a. Calculate the remainder when i is divided by u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1431 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-2 - -3)\/((-9)\/(-522)). Let u = -48 + y. Let k(w) = -2*w + 28. What is the lowest common multiple of k(u) and 22?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) be the second derivative of 0*r**4 + 0*r**3 - 4\/15*r**6 + 0 - 9*r - 2*r**2 + 0*r**5. What is the first derivative of x(g) wrt g?\nAnswer: -32*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5221*h - 304744 - 128072 = -103893 for h.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) be the first derivative of 2*m**3\/33 - 67*m**2\/11 + 944*m\/11 - 1533. Factor x(b).\nAnswer: 2*(b - 59)*(b - 8)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2 + -3 + 0 + 3\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) be the first derivative of 5*j**6\/6 - 15*j**4\/2 - 40*j**3\/3 - 15*j**2\/2 + 37. Let r(f) = 0. What is f?\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-3)\/2 - (-45)\/18. Let r be (-120)\/(-50) + (m - 3). Let j = 2 - 1. Which is bigger: r or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = -f**2 + 6*f + 2. Let r be x(6). Let t = 10 + -2. Find the second derivative of t - 5*p**r - 8 - p wrt p.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is thirteen fifths of a millisecond in microseconds?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -515947 + 515920.4143. Let s = -0.361 - 26.239. Let b = l - s. Round b to 3 dps.\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1 + 119*j**3 + j**2 - 2*j**2 - 1 + 403*j**3.\nAnswer: 522*j**3 - j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = 5883*w + 58837. What is o(-10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*v = 10, 5*p - 16 = 5*v - 56 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*c - 3*c - 20. What is the remainder when 6\/(((-41)\/6)\/(-41)) is divided by c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:27 AM and 7:24 PM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = -j + 2. Let s(a) = -a. Determine -m(l) - 2*s(l).\nAnswer: 3*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 583688696 to the nearest integer?\nAnswer: 836","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -24.2 - -24. Let j = t - -3.2. Let l = j - 2.8. Sort 3, -0.01, l.\nAnswer: -0.01, l, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-1598)\/2115*-9*2*(-4)\/(-8)*-5\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 71186 (base 14) to base 12\nAnswer: 111482","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -2478 + 10923. What is the hundreds digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = -j + 23. Suppose 8 = -w + 3. Let p be 2\/5 - (-2)\/w. What is the units digit of t(p)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 82056935?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -6.5 - -7. Let j = 1.6 - 1.4. Let r = 19 + -18. Which is the second biggest value?  (a) j  (b) p  (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 3298053?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*i + 21 = -4*q + 5, 3*i = -5*q - 4. Let o = 44 - 223\/5. Which is the third biggest value?  (a) o  (b) 0.1  (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1038138\/131 or -7925?\nAnswer: -7925","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 23627\/75 + -315. Let s(h) be the second derivative of 0 + q*h**5 - 1\/18*h**4 - 21*h - 1\/225*h**6 + 0*h**2 + 2\/45*h**3. Determine o so that s(o) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*d = -3*p + 21, 42*d + 170*p + 21 = 173*p for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Factor i**2 + 4256*i.\nAnswer: i*(i + 4256)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert 66443.58 centuries to millennia.\nAnswer: 6644.358","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-78456)\/4)\/(-6) + 77\/11. Calculate the highest common factor of d and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {d: 4, f: 7, v: 2}. Give prob of picking 2 f.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = 9*t**3 - 10*t**2 + 11*t + 7. Let d(m) = 2*m**3 - 2*m**2 + 2*m. Let y(l) = -4*d(l) + o(l). What is y(0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6*l - 2*l - 3*l)*(0 - 1 - 1) - 5*l + 3*l + l + (3 + 0 - 1)*(2*l + 3*l - 4*l) - 3*l + 4*l - 2*l.\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((w*w**(2\/9)*w*w)**(-2\/53))**(-47))**(1\/13) assuming w is positive.\nAnswer: w**(2726\/6201)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:04 AM and 2:23 AM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g + g = -4. Is g*(-6)\/14 - (-6462)\/14 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = -575*f + 1000. Let t be d(16). What is t rounded to the nearest 1000?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 414 minutes after 10:00 PM?\nAnswer: 4:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*x - 3 = -2*g - 8*x + 15*x + 12, 0 = -5*g - 23*x - 54 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1.2, -1\/3, 10678, 36 in decreasing order.\nAnswer: 10678, 36, -1\/3, -1.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in -2, 2, 0.2, -1\/2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 285379?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = -607*z. Let a(q) = 19737*q. Let m(c) = -5*a(c) - 162*s(c). Let x(k) = -7*k**2. What is m(x(h))?\nAnswer: 2457*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-50)\/45*(-684)\/(-95).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = b - 4*b - 33. Let z(f) = 6*f**2 - 31*f - 16. Let p(x) = -x**2 + 6*x + 3. Let u(y) = b*p(y) - 2*z(y). Calculate u(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 296467340 to the nearest integer?\nAnswer: 667","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = h + 12. Let p be v(-12). Suppose p = 4*s + s - 75. Solve 0*d + s = 5*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -21*n = -18*n - 618. Let o = n - 54. Is 154 <= o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25*i + 4 = -23*i. Suppose i*r + r = 33. Solve 0 = 16*x - r*x + 5 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 17283?  (a) -13\/3  (b) -8  (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = 8*a + 5. What is the units digit of s(4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = 32*f + 21. What is the units digit of d(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*z - z = q + 2, -3*q - 4*z - 3 = 0. Is (-16612)\/12*(-8 - q) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*a - 249*l - 130 = -250*l, 3*l = 12 for a.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -1*(35\/(7\/1))\/1\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -11110211012 - -2?\nAnswer: -11110211010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -2608 - -1532. Let h = k - -6359. Suppose 10*u = u + h. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -20805 (base 9) in base 15?\nAnswer: -4135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 4011365 a multiple of 600?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = -3*r**3 - 4*r**2 - 2*r - 3. Give v(-3).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0.5 - 1.2. Let i = q - 0.3. Let y(h) = 6*h**3 + h**2 + h + 1. Let f be y(-1). Which is the smallest value?  (a) i  (b) 1\/7  (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 2676 and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -34 + 55. Let z = c - 41. What is the tens digit of (-3)\/(-5) - 568\/z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 184 and 32?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-39)\/663*-68*(-1)\/(-22).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -2.21151 rounded to two decimal places?\nAnswer: -2.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 409 + 183 + 987 = -768*p + 43 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -148113 (base 10) to base 4\nAnswer: -210022101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 334 + -191. Let z = u - 145.03. What is z rounded to 1 decimal place?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -0.08 - 0.22. What is the closest to l in 3, 5, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -103000324 (base 5) to base 12\nAnswer: -191299","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -487 and 0.2?\nAnswer: -97.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*x - 4*w - 27, 4*x + 3*w + 8 - 44 = 0. Let i be (-11699999)\/(-3) - (-3)\/x. What is i rounded to the nearest one million?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3 + (1 + sqrt(448) + -1 - ((sqrt(448) + 1)*-2 - sqrt(448))**2))*5.\nAnswer: -20195 - 440*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 75.4 + -75.1. Which is the second smallest value?  (a) -2\/5  (b) j  (c) -0.2  (d) 0.096\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -28, -18, 0, 2, 25.\nAnswer: -28, -18, 0, 2, 4, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = 6*i**3 + 5*i**2 + 4*i - 235. Let a(g) = 11*g**3 + 9*g**2 + 7*g - 467. Give -4*a(t) + 7*u(t).\nAnswer: -2*t**3 - t**2 + 223","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + (sqrt(80))**2 + -1 + (sqrt(5)*-1 + 5)**2 + ((sqrt(5)*1)**2*4 - sqrt(5)).\nAnswer: -11*sqrt(5) + 125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 544 is divided by 55.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 107 = -20*f - 53. Let l(x) = 8*x + 1. Let w be l(-1). Which is smaller: w or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 5\/37 - 1949\/185. Calculate the common denominator of 37\/16 and l.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 676234 is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 111 is divided by 40.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of (-7*(-4)\/518)\/(12 + 6) and -149\/72?\nAnswer: 2664","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -8*n - 75 + 27 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 121549625 and 125.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (24 + -2 - 80\/16) + -11. Let g(j) = -52*j**2 + 315*j - 14. Calculate g(b).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -38 (base 14) to base 9\nAnswer: -55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 125 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = -2849*a - 17054. Determine s(-6).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 0.5, 0, -4\/3.\nAnswer: -4\/3, 0, 0.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 63 and 1533.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(104)\/sqrt(8))**2 - sqrt(13)) + -4 + sqrt(13))*3.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -7 in -10, 0.4, 180?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = p**3 - p**2 - 5*p + 3. Let j be (0 + -9)*3\/(-9). Let d be a(j). Calculate the greatest common factor of 9 and d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.18832 - 1629.28832. Let y = d - -1733. Let a = 111 - y. What is a rounded to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = s**3 - 7*s**2 + 3*s + 4. Let h be w(6). Let i be (0 - 28) + (-14)\/7. Let y = h - i. Calculate the remainder when 46 is divided by y.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*d + 5*d + 2*d - 3*d.\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*g + 6*g = -4*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a + 10 = 164. Let d be 14\/(-4)*(-1 - 1). Calculate the greatest common factor of a and d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0021058928 to four dps.\nAnswer: -0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 13 and 156?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is -150 bigger than -150?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 302 minutes before 4:01 AM?\nAnswer: 10:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p*p*(p\/p**(2\/5))\/p*p)**8\/(p**(-1\/2))**47 assuming p is positive.\nAnswer: p**(443\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + -1*-1*sqrt(175) + (-2 + sqrt(175))**2 + 5 + 3.\nAnswer: -15*sqrt(7) + 188","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = 2*h + 0*h - 6*h - 4 - 7*h. Let k(z) = -1. Let v(y) = -i(y) + 2*k(y). Let c be v(-1). What is the third smallest value in 5\/4, -1\/4, c?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -27380*d - 5*o - 14 = -27376*d, -d + 3*o + 5 = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w + 3*o - 11 = 0, -3*w - o + 16 = o. Let h be (6\/(-7))\/((-2)\/14). Suppose -5*u + w*a + 2 = 0, a + h = 5*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: Solve 0 = -238*n + 2*n - 130*n - 80*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*d = 4*p + 8*d - 18, -14 = -2*p - 4*d. Let q = -32 - -31. Which is the nearest to q?  (a) p  (b) 1\/4  (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in -1930, -38, 573?\nAnswer: -38","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 1 - 16dbb64?\nAnswer: -16dbb63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = 0 - 3 - g + 0. Let i(n) = -n**3 - 6. Let j be i(0). What is the units digit of z(j)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 39 divide 1125657?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12 = -2*k - 2, -4*k + 26 = 2*d. Suppose 5*q = -d*w + 4, -2*w = -5*w + 9. Put -4, -3, q in decreasing order.\nAnswer: q, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -332015\/3 - -5644297\/51. Factor 96\/17 - 332\/17*q - c*q**2.\nAnswer: -2*(q + 24)*(7*q - 2)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0074004 to three decimal places.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert -24b265 (base 14) to base 16.\nAnswer: -1339c9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = 20*s**2 - 94*s + 579. What is z(8)?\nAnswer: 1107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 84 (base 10) in base 3?\nAnswer: 10010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6474*f**2 - 6120*f**2 + 13336*f**2.\nAnswer: 742*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*a + 3*a - 2*a + a - 2*a - 2*a + (3*a + 4*a - 6*a)*(10 + 8 - 3).\nAnswer: 13*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = 14*q**2 + 40*q**3 - 76*q**3 + 37*q**3 + 17*q - 6. Does 8 divide d(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 105*a + 131 - 1076 for a.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from jwllwvwlwljvwwwvjjj. Give prob of picking 1 v and 1 w.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -30 - (7 + (-3 - -8) - 51)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) be the first derivative of 2*t**6\/5 + 15*t**2\/2 + 3*t + 7. Let j(l) be the first derivative of a(l). Differentiate j(g) wrt g.\nAnswer: 48*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) be the second derivative of 29*p**4\/4 - 73*p**3\/3 - 6*p**2 - 25*p. Let z(l) be the first derivative of x(l). What is the derivative of z(m) wrt m?\nAnswer: 174","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 34 times 15.1\nAnswer: 513.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*o = -2*o - g + 49, g + 119 = -5*o. Let n(b) = -6*b + 9. Let u(c) = -c + 1. Let a(v) = o*u(v) + 3*n(v). What is a(3)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = 1612*n + 73952. Give z(-46).\nAnswer: -200","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:46 AM and 9:26 AM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -25*((-490)\/(-125) + -4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Round -183.320885 to the nearest 10.\nAnswer: -180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = 4*q - 7. Suppose -4*u - 7 = 2*z + 5, 0 = -2*u - 2*z - 2. Let w be n(u). Let d be (-6)\/w + (-31)\/99. Are d and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1372227 to the power of 1\/2, to the nearest integer?\nAnswer: 1171","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 6 + -1. Suppose -v*a = -a - 2120. Suppose -3*p - 35 = -a. What is the greatest common divisor of 15 and p?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -2, -28, -72, -134, -214?\n\"Answer: -9*a**2 + a + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 + 7 = -5*n - 3*g, 3*n = -5*g - 13. Let o = -479 + 6703\/14. Which is smaller: o or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 112469377 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = -i + 5. Let b be r(5). Find the first derivative of 1 + 0*n**4 + b*n**4 - 2 + n**4 wrt n.\nAnswer: 4*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n - 2*k - 29 = 3*k, -43 = -4*n + 5*k. Suppose -t + n = 2. Suppose 3*d + q - 8 - 8 = 0, 4*d - t*q = 34. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = -2*p**3 + 46*p - 50. What is i(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -31\/18 and (218\/70)\/((-6)\/15).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 divided by 45647094.\nAnswer: -1\/22823547","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) be the first derivative of 5*c**6\/2 - 24*c**5\/5 - 93*c**4\/5 + 202*c**3\/5 + 297*c**2\/10 - 486*c\/5 + 4676. Solve m(d) = 0 for d.\nAnswer: -2, -1, 1, 9\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -3351 - -4?\nAnswer: -3343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 7 - 7.06. Let y = -5.9 + 0.9. Let a = y - -4.6. Sort a, o, -5 in decreasing order.\nAnswer: o, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 27748?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 299 and 76889.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 157707253 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Total of 0.85 and -1621.\nAnswer: -1620.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ti when two letters picked without replacement from ttnsnnnisiss.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from eezzzzzzzz. What is prob of sequence ze?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -a*f - 4408*a - 20*f + 5 wrt a?\nAnswer: -f - 4408","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4630.491 litres to millilitres.\nAnswer: 4630491","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:57 PM and 1:08 AM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is -1691 smaller than -288?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -72 - -78. Calculate the greatest common factor of d and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = -d**3 - d. Let g(b) = -7*b**3 - 2*b - 8. What is -g(l) + 2*t(l)?\nAnswer: 5*l**3 + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((w**(-1\/10)\/w)\/w*w**(1\/4))**(-2\/41))**(-4\/9) assuming w is positive.\nAnswer: w**(-74\/1845)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -13 - -15. Suppose -c*x + 0*x + 4 = 0. Let f be ((-3)\/(-9)*0)\/1. Solve f = -x*a - a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 80 and 1040.\nAnswer: 1040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 12914 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: What is the cube root of 4308541320 to the nearest integer?\nAnswer: 1627","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*g - 17 = 3*i + 15, 4*i - 32 = -4*g. Suppose -2*b = g, -4*b = -k + 161 + 225. What is the hundreds digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = o**2 + 7*o - 5. Let n be y(-7). Let f = n + 17. Is 12 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*c = -6*q + 8*q - 4, 0 = -c + 3*q for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from szssssszzsszss. Give prob of picking 2 s.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*x + 6*x + 5 - 2*x.\nAnswer: -x + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Total of 5159.6 and -2.2867231.\nAnswer: 5157.3132769","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = k**2 + 6*k + 5. Suppose 0 = 2*m + 4, -5*z = 4*m - 0*m - 2. Suppose 0*r + 6 = z*r. Let l = r - 8. Give d(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0.125 - -1.875. Let d = -8 + 5. Which is the smallest value?  (a) -0.2  (b) d  (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = -5*j**3 + j**2 + j - 3. Let o(u) = u**3 - u**2. Let w(v) = -h(v) - 4*o(v). What are the prime factors of w(-3)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 2, -13, -0.1, -1, 0 in increasing order.\nAnswer: -13, -3, -1, -0.1, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Put 3\/4, -31, -1, -0.1, 4 in increasing order.\nAnswer: -31, -1, -0.1, 3\/4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2616973 - 2616973 - 5708*a.\nAnswer: -5708*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand 247*b**2 - 247*b**2 + 30*b**5 + 0*b**5 + 2*b**5 - b**5 + (b**4 + 2*b**4 - 2*b**4)*(-b + 4*b - 5*b) + b**5 - 2 + 4*b**5 - 6*b**5.\nAnswer: 28*b**5 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Round 85.3931 to the nearest integer.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 2 + -1. Let p be (-120)\/24 - 79\/(-7) - (-12)\/(-2). Let l be -1*(-18)\/16 + -1. What is the nearest to s in l, p, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*((sqrt(99)*2*-5 + (-5*(sqrt(99)*-2 + sqrt(99)) - sqrt(99)))\/((sqrt(81)*1 - sqrt(81))\/sqrt(9) - (-2*sqrt(9)*-2 + sqrt(9))))**2.\nAnswer: 792\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 387575972?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -5293 or -3649?\nAnswer: -5293","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -49 - -48. Let w(v) = -v**2 + 8*v - 9. Let s be w(6). What is the closest to -3 in -0.2, c, s?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -507, -339, 21, 639, 1581?\nAnswer: 2913","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = -s - s. Let p(o) = o**3 - 2*o + 1. Let m be p(2). Suppose 0 = -0*b + s*b + 3*j - 6, 4*j = -m*b + 8. Do 3\/4 and b have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -564 = -5*b - 2*q, -10 = 4*q - 9*q. Suppose v - 84 = -4*d + 3*v, -5*v + b = 4*d. Is 5 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 373260.\nAnswer: 2, 3, 5, 6221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000016200005 rounded to six dps?\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (33*q**3 - 93*q**2 + 93*q**2)*(-2 + 1 + 0) + 1 + 3*q**2 + 2*q**2 + q**3 + 2.\nAnswer: -32*q**3 + 5*q**2 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1 + 31*f**3 + 2 - 192*f**3 + 0.\nAnswer: -161*f**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 49\/45058 and 89\/52.\nAnswer: 90116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 4, -40 in ascending order.\nAnswer: -40, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-62 + 19 - -70) + (20 - 1)?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor 9*h**4 + 114*h**3 + 171*h**2 + 66*h.\nAnswer: 3*h*(h + 1)*(h + 11)*(3*h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3448?\nAnswer: 2, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*p - 406*p**3 + 2*p - p + 18 - 343 + 323 to s*p + d*p**3 + k*p**2 + n and give d.\nAnswer: -406","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2.89 in 4, 0.4, -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = b**3 - 5*b**2 + 5*b - 1. Let u = -1 - -8. What are the prime factors of g(u)?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 246*-1*40\/(-248 - -8) + 19?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:14 PM and 3:11 PM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = -6*k**2 + 7*k - 7. Let t(j) = j - 1. Give 21*t(m) - 3*v(m).\nAnswer: 18*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Are 1\/6 and 435 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -7981706081 minus -0.24?\nAnswer: -7981706080.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n\/((n**(1\/4)*n)\/n)*n)**(-6\/19)\/(n\/(n\/n**(3\/5)*n)*n\/(n**(-3\/4)\/n*n)*n))**(-4\/9) assuming n is positive.\nAnswer: n**(1103\/855)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 36 a factor of 576?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -12063*-0.5.\nAnswer: 6031.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in one tenth of a meter?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -25267*a**2*o**3 + 6*a**2*o + 19*a**2 + 6649 wrt o?\nAnswer: -75801*a**2*o**2 + 6*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.23787975 to one dp.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let 4*p**4\/3 - 7672*p**3\/3 - 617236*p**2 - 63597632*p\/3 + 65457008\/3 = 0. What is p?\nAnswer: -178, -43, 1, 2138","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (10 + -4 - 1) + -9.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) be the third derivative of -x**6\/120 - 7*x**5\/60 - x**4\/6 - x**3\/6 + 10*x**2. Let b = -3 - -9. What is the remainder when t(-7) is divided by b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 5823, 23274, 52359, 93078, 145431, 209418?\nAnswer: 285039","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 22, 36, 50, 64?\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*m = 2*m + 2, 3*y + 17 = -5*m. Suppose 0 = -5*c + 5, 4*u + 0*c - 5*c + 85 = 0. Find the common denominator of (-216)\/u + 5 + y and 58\/7.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (5 - 11 - -3) + -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = -4*y**2 - 5. Let g(n) = -4*n. What is g(j(c))?\nAnswer: 16*c**2 + 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 51*x**6 - 900478*x**3 + 27633858*x**2 - 1 wrt x.\nAnswer: 6120*x**3 - 5402868","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*g**3 + 6*g**3 - 5*g**3)*(593 + 3901 - 3529 + 6541).\nAnswer: 7506*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) be the first derivative of 45 + 4\/21*f**3 - 6\/7*f - 1\/7*f**2. Factor t(m).\nAnswer: 2*(m + 1)*(2*m - 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -2.1 + 4.1. Let m = 4.5 - 72.5. Let b = 64 + m. What is the nearest to -7 in r, b, -5\/4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in 73, 3, 5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -27 + -2f3?\nAnswer: -31a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = s**3 + 24*s**2 + 45*s + 37. Let z be m(-22). Let r be ((-6)\/z)\/(-1 - 17201\/(-17200)). What is r rounded to the nearest 1000?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*u + 7 = -2*g - 8, -174*u = 2*g - 176*u for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -21348 + 86928. What is s rounded to the nearest ten thousand?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-4)\/2 + 7*(-20)\/(-28). Suppose 2*o + c*o - 4*a - 1295 = 0, 0 = -3*o + 4*a + 769. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7144967 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express 33875*p + 35620*p - 75806*p as s + g*p and give g.\nAnswer: -6311","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from xwlbxxlxoxfwlxww.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-2)\/6)\/((-3)\/9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j = 5*x - 336, 264 = 4*x - 11*j + 7*j. Calculate the remainder when 624 is divided by x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 19611355 or 196113561\/10?\nAnswer: 19611355","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*m - 6*s + 45 = -s, 4*m + 4*s = 4. Let q(l) = -4*l**3 - l - 1. Let v be q(-1). Let n be (2\/8)\/((-38)\/(-16)). Sort n, m, v.\nAnswer: m, n, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -960, -964, -968, -972, -976, -980?\n\"Answer: -4*n - 956","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -1 + (62\/(-6) - (-112)\/336)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (2 - -1) + -4 + 6. Solve x = -1, 4 = -2*d - s*x - 3 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 342 minutes after 6:38 PM?\nAnswer: 12:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -22424 (base 5) in base 13?\nAnswer: -972","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (2*386)\/(56\/(-14) + 6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = 3*n**3 - 30*n**2 - 8*n + 45. What is m(10)?\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*b - 7 = -24*d, -2*b - 30 = -34047*d + 34051*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*((sqrt(272) + sqrt(272) + sqrt(272) + 2)*-5 + 2 + (sqrt(272) - (5 + 2*sqrt(272)) - (-2 + sqrt(272) + 1)) + -5))**2.\nAnswer: 36992*sqrt(17) + 1262352","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = 116*b - 926. Give d(9).\nAnswer: 118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = -s**3 + s**2 - s + 21. What is the units digit of c(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 17\/43 + -7\/344. Which is the fourth biggest value?  (a) k  (b) -280  (c) 4  (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:18 AM and 6:22 AM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -0.1  (b) -294  (c) 5  (d) 71\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 1.164765km?\nAnswer: 116476.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 386106222.\nAnswer: 2, 3, 47, 179, 7649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*p**3 + 7*p**3 - 4*p**3 + 7*p**3.\nAnswer: 8*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 15 + (6\/3 - 4). Suppose -3*i - 11 - p = 0. Let t = i + 14. Let c(q) = -q**2 + 3*q + 7. Give c(t).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 2 - 0. Let w be u\/(-8) + 9\/4. Suppose -g + 7 - 3 = 0. Solve -g*j + w = -d, -4*j - 5*d = -4*d + 2 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = -2*b**3 - 6*b**2 - b + 2. Let d(i) = -6*i**3 - 17*i**2 - 3*i + 6. Let q be 17*(-1 - -1 - (-2)\/2). Calculate q*l(g) - 6*d(g).\nAnswer: 2*g**3 + g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q = -y + 489, 2*y - 17*q = -16*q + 993. Suppose y = 4*a - 5*j, 4*a - 503 = -j - 2*j. 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: Let n(u) = 1. Let z(a) = -17*a**2 + 3. Give 5*n(c) - z(c).\nAnswer: 17*c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = 6*s. Let w(j) = j**2 - 2279*j. What is x(w(h))?\nAnswer: 6*h**2 - 13674*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = -3 + d**2 + 2 - 4*d + 2*d + d. Let t be (1\/(-1))\/(6\/6). Let g(s) = -s - 1. Determine t*g(x) + q(x).\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort 144, -16, 553 in ascending order.\nAnswer: -16, 144, 553","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -7557702 divided by 28306?\nAnswer: -267","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-6055 + 291*o**2 + 6055)*(1 - 2 - 3) + o**2 + 2*o**2 - o**2 + (3 - 3 + 2*o)*(-3*o - o + 2*o) + 2*o - o**2 - 2*o to z*o**2 + l*o + q and give z.\nAnswer: -1167","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*(2 + sqrt(128)))**2.\nAnswer: 288*sqrt(2) + 1188","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 11520 and 113220.\nAnswer: 7246080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -823*q*x**4 - 2*q*x + 6*q + 3573*x**4 - 2*x**2 + 14*x + 1939 wrt x.\nAnswer: -19752*q*x + 85752*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = -4*m - 14 + 4 + 2*m. Let i be k(7). Is 14 a factor of 7\/1*i\/(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 0.3  (b) 14  (c) -5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 33 = v + 5*u, v + 2*u - 4*u = -2. Let c be (2 - 0)\/(((-160)\/45)\/16). Let i = v + c. Are -1 and i equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = -j**2 - 5*j + 8. Let i be b(-6). Suppose 0 = -i*h, 4*y + 4*h - 304 = 2*h. Suppose -10*o + y = -6*o. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-375)\/(-105) + -3)\/4.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -521, -0.04, 5?\nAnswer: -521","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = 5*h + 5. Let n(r) = 6*r + 6. Suppose 38*o = 126 - 12. Give o*n(j) - 4*s(j).\nAnswer: -2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*q + q - j = -95, -2*j + 70 = -4*q. Let i be (-52)\/q + (-4)\/(-10). Let y = 7 + -7. What is the smallest value in i, 0.2, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -53 + 195. Let c = b + -142.00000132. What is c rounded to seven decimal places?\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = -1 - 121*m - 1 + 0. Let o be s(2). Let y = o - -365. Is y 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 238 and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = -158 - 7*y + 79 + 72 - y**2. What is p(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 0.011, -122, -0.06475?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {m: 2, s: 2, u: 1, w: 1, k: 8, l: 6}. What is prob of picking 1 w and 1 u?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -s + 7*s + 23357*s**2 - 6*s.\nAnswer: 23357*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 108 bigger than 272941?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v = -5*l + 13, l = -l + v + 13. Suppose -2*b + 13 = l. Solve -o = b*t - 13, o + 6 + 17 = 5*t for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in x**3 + 13*x - 523 - 13*x.\nAnswer: x**3 - 523","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-237)\/12 - (-5)\/(-20). Let s = 21 + i. What is the greatest common divisor of 23 and s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1639 + 1742. What is the remainder when 231 is divided by f?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1753*n**2 + 879*n**2 - 16*n**3 + 874*n**2.\nAnswer: -16*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = -2*a**2 + 6*a + 3. Let j be t(6). Let m be (2 - (-5)\/(-3))\/((-72)\/7992). Let d = j - m. Calculate the remainder when 9 is divided by d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2666428.\nAnswer: 2, 666607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 112991.\nAnswer: 103, 1097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = -l - 1. Let a be t(-5). Let i = 0 - a. Let q(y) be the first derivative of y**3\/3 + 5*y**2\/2 + 4*y + 7. What is q(i)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find m, given that 3*m**2\/5 + 126744*m\/5 - 126747\/5 = 0.\nAnswer: -42249, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 17\/78 and 17\/21.\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 65.52?  (a) -0.1  (b) -2\/13  (c) 0.0648\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*j - 14 = 2*c, -j + 10*c = 12*c - 1 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 4377 and 339?\nAnswer: 494601","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:10 AM and 11:25 AM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*-6*(-1 + 4*sqrt(8) - 1*sqrt(128)).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3844537.\nAnswer: 3844537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 749*q**2 - 879*q**2 + 1380*q**2 + 4297*q**2 + 4784*q**2.\nAnswer: 10331*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:58 PM and 7:09 AM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 196466805.\nAnswer: 3, 5, 23, 189823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 136 + -19. Suppose -2*w + r = 7*w. What is the remainder when 89 is divided by w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-6)\/(-54)*-24*(-78)\/(-13104).\nAnswer: -1\/63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(720) - ((0 + sqrt(720) - sqrt(720)) + -2 + sqrt(720)))**2 + (sqrt(45) + -2*sqrt(5445))\/sqrt(9).\nAnswer: -21*sqrt(5) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 44*h + 3287 - 3287.\nAnswer: 44*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 138*z**2 + 134*z**2 + 132*z**2 - 677*z**2 + 135*z**2 + 135*z**2.\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -11021 (base 5) in base 8?\nAnswer: -1371","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*k + 2610 - 2620 = -5*f, -21 = f + 4*k for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Put -32, 0, 3, 1, 5, 59 in increasing order.\nAnswer: -32, 0, 1, 3, 5, 59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 9941.\nAnswer: 9941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 368\/71 or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 7, -33, -143, -359, -717, -1253?\n\"Answer: -6*d**3 + d**2 - d + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x - x = 0. Solve x = m + 3*v - 0 + 6, -4*m - 5*v = 3 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -5156.5 to the nearest 10.\nAnswer: -5160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v = 2*q - 30, 3*v = -2*v + q + 106. Solve 7*i = -4*i - v for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = -617952*a**3 + 9891*a**2 - 3297. Let w(r) = 937*r**3 - 15*r**2 + 5. Calculate -5*b(u) - 3297*w(u).\nAnswer: 471*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6\/((-42)\/(-49))*3.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h + 4*c - 2 = 8*c, 0 = -2*h + 2*c - 6. Let i = 2 + h. Let k(d) = i*d + 0*d - d. Let y(f) = -2*f**2. Give k(y(u)).\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find t, given that 21*t**3 - 300*t**2 + 357*t - 78 = 0.\nAnswer: 2\/7, 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 54538*m**3 - 145*m - 139*m + 284*m + 16864*m**3.\nAnswer: 71402*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (80\/(-51480)*11)\/((-2)\/26).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0.07 - 3.07. Is v at least 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = 7*w - 38. Let d be o(7). Let u(i) = -i**2 + 14*i - 29. Let x be u(d). Suppose -6*t + t - c = -927, 5*t - 917 = x*c. What are the prime factors of t?\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -15 - -9. Suppose -2*n - 10 = -0*n. What is the third smallest value in n, 1, u?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -16380 * -0.5\nAnswer: 8190","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -13.2889 - -0.09?\nAnswer: -13.1989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 9.6  (b) -5.8  (c) -0.7354\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*z - 105 = z. Let t(u) = 3*u + 22. Calculate the remainder when t(8) is divided by 7\/(z\/54) + -2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 102211112000 (base 3) in base 6?\nAnswer: 4554213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:58 AM and 3:43 PM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -156 plus 6?\nAnswer: -150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2)\/(((-4)\/(-6))\/(66\/(-1683))).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -11?  (a) -1  (b) 0.01  (c) 2\/9  (d) 0.93  (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*f + 2*y + 2 = -10*f, -2*f + 20 = 4*y. Let p = -8 + 7. Put p, 5, f, -4 in decreasing order.\nAnswer: 5, f, p, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-27)\/18 + (-2)\/(352\/(-895)). Let l = q + -3\/11. Let u = 89\/8 + -75\/4. What is the common denominator of l and u?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (33 - 28) + (441\/21 - 4).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 36*(-66)\/297 + (-6 - 1 - -1)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = 8*z**3 - z - 6. Let k(j) = -j**3 - j + 1. Suppose 2 = 2*l + 4*f, 5*f - 4*f = 0. Give l*a(v) + 6*k(v).\nAnswer: 2*v**3 - 7*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Does 21 divide 95324?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**4*a)\/(((a\/((a\/(a\/((a**6*a)\/a)))\/a))\/a)\/a)*(a**1)**28 assuming a is positive.\nAnswer: a**39","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = w**4 + w**3. Let k(y) = -9*y**4 - 5*y**3 + 2. Let u(l) = -2*k(l) - 10*n(l). Differentiate u(a) wrt a.\nAnswer: 32*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -134347\/22 + 6107. Are s and 3\/10 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = -u - 12. Let o be v(-10). Is (2\/(-3))\/(o\/9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (1 - (0 - 3)) + -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 258259112?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -0.062727 from -4236.09.\nAnswer: -4236.027273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 98317.262 - 98032. Let x = -285 + c. Let q = x - -0.018. What is q rounded to one dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2462.9 rounded to the nearest 1000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -20 - -62. Let q = -78 + r. Let p = q - -35.9. What is the closest to p in -2\/11, -7\/2, -1\/3?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = 2*g**2 + 3*g + 1. Let s be b(-2). Solve -5*r = -s*r - 8 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -416*n + 121809 = -28035 + 26292. Calculate the remainder when n is divided by 47.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**(6\/5)*d*d\/(d\/((d*(d\/((d**(-4)*d*d*d)\/d)*d)\/d)\/d))*d)\/(d**(3\/7)*d**(-3)*d) assuming d is positive.\nAnswer: d**(272\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is (-3006)\/(-162) - (1\/(6 + -12) - 5\/18)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 15681610 to the nearest integer?\nAnswer: 250","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -184\/7?  (a) -0.2  (b) 2  (c) -2\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) = 63*h + 1. Let g be j(-1). Let t = g + 174. Let r(s) = 4*s - 10. Let v be r(6). What is the greatest common factor of t and v?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -21a + 0?\nAnswer: -21a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0198770781 rounded to 6 decimal places?\nAnswer: -0.019877","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2*(-1)\/12 + 76\/(-912).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 27\/4 of a gram in milligrams?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -56 - -35. Let g be (-368)\/6 + 14\/c. Let a = g + 151. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 22229 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -14 + (-24 - (0 - 60)) - (1 + 0)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 693588649 to the nearest integer?\nAnswer: 885","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i = 7*j - 2*j + 802, 647 = -4*j + 3*i. Let p = j + 161. Factor -16\/3*w**3 - 2*w**4 - 26\/9*w**2 - 4\/9*w + p.\nAnswer: -2*w*(w + 2)*(3*w + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -41\/216076 and -43\/12?\nAnswer: 648228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = 2*w + 8. Let x be g(-17). Calculate the remainder when 2\/13 - (2 - (-3012)\/x) is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d**5 + 51*d**4 + 368*d**3 + 1064*d**2 + 1392*d + 688 = 0. Calculate d.\nAnswer: -43, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*d + 18 = 4*f - 0, 5*d - 19 = -6*f for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = -k**3 - k + 145. Is a(0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10*h = 3*z + 32, -h = -25119*z + 25120*z - 11 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -245582, -245554, -245508, -245444, -245362, -245262, -245144?\n\"Answer: 9*n**2 + n - 245592","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 125282006 take away -0.04?\nAnswer: 125282006.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: (39752\/(-14907) - ((-2)\/3 + 0))*(-2)\/21\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 12581 - 4305. List the prime factors of h.\nAnswer: 2, 2069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -196695 less than -0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = 23*x**3 - 2*x**2 + x - 11. Let q be u(5). Suppose 0 = -f - 2*t + q, -f - 4*f = 2*t - 14127. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/7?  (a) -0.4  (b) -4\/5  (c) -3  (d) 0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = -8*r**2. Let f(t) be the second derivative of 3*t**3 - 3*t**2\/2 + 252*t. Give f(q(c)).\nAnswer: -144*c**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r = -118 - 332. Let a be 20\/r - 57\/90*-16. Let y = 85 + a. Does 21 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 101900 to the nearest 10000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.63 in 3, 0.05, 2\/13, -56, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*i + 2*b + 7 = 2, 5*i + 3*b = -9 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 139125 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 6.995 + -2.367. What is a rounded to 1 decimal place?\nAnswer: 4.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 123 - 105. Calculate the least common multiple of 38 and q.\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -584 times 0.01533?\nAnswer: -8.95272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express 84*l - 19*l + 57*l + 1 + 35*l as h*l + x and give h.\nAnswer: 157","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4550 is divided by 69.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3 - 37*a**2 - 6 + 2 + (2*a - 6*a**2 - a + 3*a**2)*(-1 - 4 + 3) to t*a + p*a**2 + q and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 1441.3 and -670679634?\nAnswer: 670681075.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2101*d**3 - 7 - 2732*d**3 - 3650*d**3 - 11 - 49 + 6*d wrt d?\nAnswer: -25686*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1 - 1.5. Let p = 10.2 + -11. Let d = p + 1.1. Which is the third smallest value?  (a) d  (b) h  (c) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -58 - (59 + 7 + -77)\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 5687165?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 6776, 6766, 6756?\nAnswer: 6746","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 10.3 - 5.1. Let i = k - 6.16. Let n = 1 + i. Which is the closest to n?  (a) -3  (b) 3  (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -2\/975 smaller than -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-3)\/(-9))\/(19\/51756). Let v = g + 60. What is the tens digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*j = -3*a + 32, -49 + 57 = 2*j for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4*212.\nAnswer: -848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -x - 6 = s, s = -4*x + 5*s + 8 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -88?  (a) -1  (b) 0.4  (c) 0.04  (d) -629.14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x\/x**9)\/x*x**(-2\/25))**(-9)\/((x*x**(-1\/4)\/x)**(1\/49)*(x*x\/(x*x**0\/x*x*x*x))\/((x\/(x*x*x**(-1)*x))\/x)) assuming x is positive.\nAnswer: x**(395553\/4900)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Express (-k**2 - 4*k**2 + 11*k**2)*(-2 + 1 + 0)*(1 - 4 + 1)*(5 - 3 - 5) as c + u*k + t*k**2 and give t.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 9110 to the power of 1\/2, to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -46 + 73. Let c = 11 - d. What is the least common multiple of 4 and -2 - (-2 - -3)*c?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 38*o**2 + 22*o**2 - 87*o**2 + (-o - 4*o + 6*o)*(-o + o - 2*o - 4 + 4 + 2*o + (o + 2*o - o)*(1 - 3 + 4) + 4*o + 2*o - 5*o - 2*o + 5*o - o) + o - o + o**2.\nAnswer: -19*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-19 - -30) + (4 - 6). Suppose 0 = -2*s + w + 166, 3*w + 154 = 2*s - w. Let t = 184 - s. What is the greatest common divisor of t and m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 20, 28, 48, 86, 148, 240?\n\"Answer: x**3 + x + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -4*t**2 + t**4 + 7*t - 3 - 2*t**3 + 5*t + 1 + 0 to q*t**3 + p + g*t + a*t**4 + v*t**2 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = a**3 + 24*a**2 - 28*a - 43. What is the remainder when l(-25) is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3230501086 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 63577?\nAnswer: 63577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*k - 4176640 = -133*k - 131*k. List the prime factors of k.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 6 divide 5153?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 - -52 - 5 - (199 - 78)?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express 19794067 + 11714*u - 19794067 as k*u + i and give k.\nAnswer: 11714","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {j: 1, z: 9, m: 7, x: 1}. Give prob of picking 3 z and 1 j.\nAnswer: 7\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 12113 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) be the first derivative of -2*j**3\/3 + 33*j**2\/2 + 36*j - 94. Let h be u(17). Which is smaller: 18 or h?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3306 - 3368 - (-4 - 1).\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00081434916 to seven dps.\nAnswer: 0.0008143","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3*5*3\/180.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -20 - 216. Let j = -232 - k. Which is the third biggest value?  (a) j  (b) -2  (c) 0.5  (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*p + 123372 = 4*i + 123436, 0 = 2*i + 3*p + 32 for i.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) be the first derivative of 117 + 10*n - n**2 + 0*n**3 - 13\/2*n**4. Differentiate m(h) with respect to h.\nAnswer: -78*h**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = v**3 + 11*v**2 + 5*v - 6. Let f be l(-10). Let t = f + -36. Solve 0*z = -2*z - t for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (72492\/49)\/(14\/1029*-7). Do -15535 and g have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) be the second derivative of l**7\/1260 - l**5\/20 + 7*l**4\/12 + 11*l. Let g(s) be the third derivative of i(s). What is the derivative of g(w) wrt w?\nAnswer: 4*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) 1  (b) 77  (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/8 of a kilometer in centimeters?\nAnswer: 87500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13872 = 96*k - 144*k. Solve -k*x + 281*x + 8 = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = -n**3 + 6*n**2 + 11*n - 13. Let j be a(7). Let m(v) = 15*v. Suppose 5*h = 2 + 23. Let f be m(h). What is the greatest common factor of j and f?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = -n**2 - 258*n + 81953. Calculate o(185).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 14 and 245.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from omjmsmomsmmmhm. What is prob of picking 2 s and 1 o?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 56 and 10?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 73770?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 507705970.\nAnswer: 2, 5, 50770597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from tzmxxmzttxxt. What is prob of picking 1 t and 2 z?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/59 in -5\/4, 0.061, 208?\nAnswer: 0.061","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1*16\/30)\/((-748)\/1122)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*x**3 - 3*x**2 + 27*x + 27.\nAnswer: -3*(x - 3)*(x + 1)*(x + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (12\/7)\/((-123)\/574)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 32261*v**3 + 51*v**2 - 238*v wrt v.\nAnswer: 193566","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Does 39 = 41?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -148, -292, -432, -568, -700, -828?\n\"Answer: 2*s**2 - 150*s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 128 + -71. Let h = j + -57.5. Which is the third biggest value?  (a) -2\/3  (b) h  (c) -4\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 5\/2 + -3 - 1. Let l = -3 + 3. What is the biggest value in l, c, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -93\/103928 and 17\/198.\nAnswer: 935352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2*t - 4*t + t)*(-3 + 4 + 1) + (4 + t - 4)*(6 + 6 + 10) + (-2 + 0 + 1)*(1 + 2*t - 1) to the form f*t + z and give f.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express -1658*i**4 - 654*i**4 + 671*i**4 + (-2 + 2 + i**3)*(5*i - i - 3*i) in the form y*i**4 + n*i**3 + h + q*i**2 + m*i and give y.\nAnswer: -1640","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**(-10)*s**(1\/31)*s**26*s*s*(s*((s\/(s*s**(1\/6)\/s))\/s)\/s*s)\/s)**(-2\/47) assuming s is positive.\nAnswer: s**(-3323\/4371)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 46 and 3174.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 40550222 a multiple of 2927?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"}
{"text":"Question: Let f = -2257127\/89 + 25361. Which is the third biggest value?  (a) -6  (b) -0.5  (c) f  (d) 4  (e) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1513 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n + 7*n + 30 = 0. Let f(g) = -5*g - 2. Let c be f(n). Let k = -20 + c. List the prime factors of k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 133842006565 minus -0.017?\nAnswer: 133842006565.017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 12417340 divided by -5\nAnswer: -2483468","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express 0 - 2*f**3 + 10 - 10 + 9*f in the form m*f**3 + s + g*f**2 + b*f and give b.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o = -2*q - 0*o + 41899, 20952 = q - 4*o. Suppose -23402 = 5*r + 47838. Let d = q + r. What is d rounded to the nearest one thousand?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 38 and 43365818.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k - 13 = -2*t, k - 5*k = 3*t - 42. Let g = 17\/2 - k. Let c be -1 - 1 - (-7)\/3. Which is smaller: g or c?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -26718.04449 to the nearest ten thousand.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 228?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = 329*r**2 + 4*r - 7. Let a be j(2). Let t = 2260 - a. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 863712771?\nAnswer: 3, 29, 9927733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 304 + -299. Solve 0*q = c*q + 3*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -64 + 64.66. Round t to 1 dp.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from aadddavddadvv.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand -13*l**2 - 10*l**2 + l**2 - l + l - l**2 + (7 - 3 - 2)*(-4 + 4 + l**2).\nAnswer: -21*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 200, 776, 1736, 3080, 4808, 6920, 9416?\n\"Answer: 192*g**2 + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {k: 3, s: 4, z: 2, b: 6, e: 2}. What is prob of sequence kkke?\nAnswer: 1\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert 305.6903 nanograms to micrograms.\nAnswer: 0.3056903","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -46*s + 4140 = -s. What is the remainder when s is divided by 48?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*n**5\/5 + 267*n**4\/5 + 1683*n**3\/5 + 513*n**2.\nAnswer: -3*n**2*(n - 95)*(n + 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many weeks are there in 1900.51029 seconds?\nAnswer: 0.003142378125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 23\/302 and -65\/8.\nAnswer: 1208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:13 PM and 3:35 PM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (0 - 2) + 16 + -92 + 260 + -184?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -1865, -5056, -9567, -15398, -22549?\n\"Answer: -660*a**2 - 1211*a + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -r*u - 63*r - 12*u - 38 with respect to r.\nAnswer: -u - 63","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Divide -10223 by -15841.\nAnswer: 10223\/15841","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express 6*a - a**3 - 125 + 6*a**2 - 7*a + 126 - a**3 - 6*a**4 in the form b*a**3 + r + u*a**4 + l*a**2 + s*a and give u.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 10264?\nAnswer: 2, 1283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 6.2244 + -6.36. What is j rounded to 2 decimal places?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 561 a factor of 588394424?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h - 5*h + 502 = 0. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = -2*f**2 - 36*f + 24. Calculate v(-17).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*y = -189 - 84. Let h = 110 - y. Suppose 3*o + h - 44 = 0. Is o at least -33?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.7, 3, 0.8, -35, -3, 0.0145.\nAnswer: -35, -3, 0.0145, 0.7, 0.8, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 3\/10 of a centimeter?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = -d + 1. Suppose -c = 3*u + 29, 2*u + 11 = -c - 8. Let w(k) = 3*k - 2. Let o(g) = u*b(g) - 5*w(g). Let j(h) = 3*h. Determine j(o(s)).\nAnswer: -15*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 27, 26, 25, 24?\n\"Answer: -z + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = 10*y**2 - 4*y + 2. Let r be k(1). Solve 0 = 4*f + u + r, f - 19 = 5*u - 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 10021304 - 4?\nAnswer: 10021300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 13, -18, -95, -224, -411, -662?\n\"Answer: -w**3 - 17*w**2 + 27*w + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -352.73 + 352.72. Which is the closest to 0?  (a) x  (b) -14.1  (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in 3, -2\/3, 59, 4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 65063 is divided by 78.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 127293 is divided by 3637.\nAnswer: 3635","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 0.2523144l?\nAnswer: 252.3144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6580*d = 6577*d - 58602000. Round d to the nearest one hundred thousand.\nAnswer: -19500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 1 - 0.89. Let g = p - 0.04. What is g rounded to one decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 275783.\nAnswer: 275783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 29\/2 of a litre in millilitres?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -223 - -114. Let q = w - -114. Which is the smallest value?  (a) 3\/11  (b) 4\/3  (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve k = -5*s - 10, -192 + 168 = 5*k - s for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (1\/(-3))\/((-6)\/(-18)). Let z = 3 + a. Solve 0 = k + 3*w - 13, -2 = -z*k + 5*w - 9 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 439121905?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 100 + -64. Let g = 42 - d. Suppose 0*j = g*j - 570. Calculate the remainder when j is divided by 24.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {u: 8, k: 4, s: 5}. What is prob of picking 3 s?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*w - 18 = 2*g, 0*w - 8 = 2*w. Let t(a) = -a + 1. Let x(d) = 7*d**2 - 15*d - 1. Let c(y) = g*x(y) + 3*t(y). Let c(v) = 0. What is v?\nAnswer: -2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a**(-8)\/a)\/a**(5\/8))**(2\/83) assuming a is positive.\nAnswer: a**(-77\/332)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = -a**3 - 8*a**2 + 5*a + 44. Let c be k(-8). Suppose c*v - 20 = 0, -15469 = -l - 2*l + 4*v. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -7 + 7. Suppose -3*c - 8 = -4*q, a = -c - 4. Calculate the remainder when q\/(-2*(-2)\/(-188)) is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/9 in -3\/10, 16, 15\/14?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 11261637 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: 18 - 21 - (0 + (1 + -2 - 2))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = 60*n - 1. Let j be c(3). Suppose 0 = 2*u - 63 - 27. Suppose -5*q + 271 = -z, -4*q - z + u + j = 0. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 124127 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 f when four letters picked without replacement from fvffvfffffffvf.\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = h**2 + 2. Let c(o) = 5*o**2 + 11. Let p(j) = -4*c(j) + 22*v(j). Let y(b) = -22*b. Give y(p(m)).\nAnswer: -44*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-six fifths of a kilogram in grams?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-4)\/(-54)*3)\/(-7 + (-1095)\/(-135))?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find j such that -4*j**4 + 1144*j**3 + 105980*j**2 + 208512*j + 103680 = 0.\nAnswer: -72, -1, 360","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in 95850, -1\/2, 21?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Does 340 divide 542640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = 17*d + 19*d + 0 - 33*d - 6. Let l be x(7). Suppose 2*s + 65 = 3*o + s, -2*o - 5*s + l = 0. What is the highest common factor of 4 and o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1310143 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand -o**3 - 2*o**3 + o**3 + (o**2 - 3*o + 3*o)*(14*o - 22*o - 22*o).\nAnswer: -32*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 11618, 11647, 11698, 11777, 11890, 12043, 12242, 12493?\n\"Answer: p**3 + 5*p**2 + 7*p + 11605","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 5066 + -5025. Solve n - 20 = 4*s, -4*n - v = -5*s - 66 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17*d + 21*d = 0. Let u(h) = -h**3 - 6*h**2 - 4*h + 6. Let y be u(-5). Sort -1, d, y in increasing order.\nAnswer: -1, d, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = p - 5. Let t be 0 - -3 - (3 - 5). Calculate n(t).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-15)\/5 + 4)*2. Suppose a = -19 + 24. Suppose 2 = -5*l + 22. Solve a*o = -l*b - 16, -b = n*o - 6*b - 20 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 15718589 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = z**3 - 11*z**2 - 3*z + 35. Let j be r(11). Suppose -1223 + 1213 = -j*d. Put 29, d, -2, -5 in decreasing order.\nAnswer: 29, d, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = 3*q + 0*q + 0*q - 35 - 2*q. Let n be i(9). Let z(x) = x**3 + 27*x**2 + 17*x - 40. What are the prime factors of z(n)?\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (80\/48)\/(30960\/(-864))?\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -231 + 1349 = 203*k - 1318 for k.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8*u**3 + 3*u**2 + 160*u**3 - 3*u**2.\nAnswer: 168*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -202 - -23030121?\nAnswer: 23023313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 2159 and 1170432?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*c - 217*t + 216*t + 31 = 0, 10*t - 124 = 3*c - 3 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ujgruruuhgjuuhussss. What is prob of sequence uss?\nAnswer: 14\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is a892 - -750?\nAnswer: 10532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 1121 + -1?\nAnswer: 1120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 43 times -86?\nAnswer: -3698","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -208, -246, -270, -274, -252, -198?\nAnswer: -106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Express -75*m + 7 - 102*m + 14*m - 11 as x + t*m and give t.\nAnswer: -163","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -5 - (7 + -14) - (-6 + 20)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 4*s**5 + 2*s - 8*s - 15*s**5 wrt s?\nAnswer: -220*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-1)\/((-6)\/15 + 3\/(-30)). Suppose 1 = g*h - 3*h. Let z(p) = -21*p**3 + p**2 - 2. Let b be z(h). Calculate the highest common divisor of b and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 2547 - 2462. Let k(z) = -17*z + 0 + 6*z + 6. Let u(v) = -155*v + 85. What is l*k(w) - 6*u(w)?\nAnswer: -5*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 25 + 9 = 2*o. Calculate the remainder when 32 is divided by o.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 496 is divided by 155375\/1875 - (-2)\/15.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l = -2*l - 9. What is the remainder when l is divided by (1288\/483)\/((2\/18)\/((-1)\/(-3)))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = -2*f - 3. Let j be a(-5). Let d = 66.2 + -66.1. Sort j, d, 3, 2 in ascending order.\nAnswer: d, 2, 3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -1 - 2*y + 1 - 2*y - 1 + 1 + (1 + 2 - 2)*(4 - 4 + y) - 4*y + y + 0*y - 52*y - 61*y + 46*y.\nAnswer: -73*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Put -2\/7, 4, 138 in ascending order.\nAnswer: -2\/7, 4, 138","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -1580, -1581, -1582, -1583, -1584, -1585?\n\"Answer: -j - 1579","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*t**3 + 21*t**2 - 123*t + 99.\nAnswer: 3*(t - 3)*(t - 1)*(t + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 636 and 119886?\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 331280, 662561, 993842, 1325123, 1656404?\nAnswer: 1987685","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 7\/(210\/(-12))*-1\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -181460 divided by 10?\nAnswer: -18146","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 66715.\nAnswer: 5, 11, 1213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -38061 divided by -3?\nAnswer: 12687","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 29 + 11?\nAnswer: 3a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b + 22 = b - k, 5*b - 50 = 5*k. Calculate the least common multiple of b and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = u**2 - 5*u - 1. Let o(q) = q + 13. Let g be o(-8). Let r be w(g). Let p = 13.9 + -14. What is the closest to p in -0.3, r, 3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 363, 374, 409, 480, 599, 778?\n\"Answer: 2*r**3 - 3*r + 364","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 3231 (base 4) in base 8?\nAnswer: 355","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 0 + -11a?\nAnswer: -11a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1157309 to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is (0 - (-16)\/12)*288 a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6 - (-2 + (0 - -7) + 11) - -5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert -7 (base 12) to base 11.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = -7 + 5 + 1. Let y(f) = 3*f + 4. Calculate -6*d(p) - y(p).\nAnswer: -3*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*b + 5*q - 11 = 0, b + 3*b - 3*q = 51. Let s(c) = -c**3 + 11*c**2 - 9*c + 7. Is 22 a factor of s(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -395, -1559, -3491, -6185, -9635?\nAnswer: -13835","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is (7 - -2) + (-3 + 5 - 13)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 588 is divided by 59?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express -1 + 10*d**3 + d - 3*d**3 + 2*d**4 + 0*d**4 - 5*d**3 - d**2 in the form k*d**3 + a + b*d**4 + f*d**2 + z*d and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 45, 95, 145?\nAnswer: 195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor 14\/13*f**2 + 30\/13*f + 2\/13*f**3 + 18\/13.\nAnswer: 2*(f + 1)*(f + 3)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 12b - 1?\nAnswer: 12a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -5?  (a) -3\/8  (b) -4  (c) -5  (d) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*v + y - 109, 2*v - 67 = -v + y. Let w be 2\/(-11) - (-6538)\/v. Let a = -1195 - -1222. What is the highest common factor of w and a?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-1 - 0\/(-1))*-10. Suppose -3*a + y - 4 = -3*p, 2*p = 4*a. Is -2\/3 bigger than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 24830715 to the power of 1\/6, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -q**3 + q**3 - 5*q**4 - 5 + 4 wrt q.\nAnswer: -20*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -2\/15  (b) 39  (c) 2\/83\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 4, 3, 0, -5, -12, -21, -32?\n\"Answer: -w**2 + 2*w + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 0.4, 0, 0.5, -414, 3\/5, -5, -0.054?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = -y - 4. Let j(b) = 1. Let k = 1733 + -1732. Determine k*l(g) + j(g).\nAnswer: -g - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p + 3*n + 0*n + 6 = 0, -5*n + 8 = -2*p. Suppose 2*g + p = 3*g. Calculate the remainder when 17 is divided by g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 80\/198 - (-1 + -2 - 700\/(-220)). Put 2\/15, 8\/15, q in ascending order.\nAnswer: 2\/15, q, 8\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 817240855.\nAnswer: 5, 107, 1527553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -6*l**3*u**3 + 402*l**3*u + 8*l**3*v + 32*l**2*u*v + 45*l**2 - 2*l*u**3 - 11*l*v + 2*u*v wrt l.\nAnswer: -36*u**3 + 2412*u + 48*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 153857 and 308.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 268 + -268. Suppose -26*w + 35*w - 8406 = i. What are the prime factors of w?\nAnswer: 2, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k + 5 = -5*d, -2*k - 4*d = -2*d - 14. Solve -3 = -4*r + k*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4*12301.3\nAnswer: -49205.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:41 PM and 11:34 PM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*r + r + 2*r)*(0*r**4 - 2*r**4 + r**4) - 3*r**5 + 3*r**5 + 6*r**5 + (-5 - 2*r + 5)*(r**4 + 2*r**4 - r**4) + 205 - 205 - 56*r**5.\nAnswer: -53*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = i**2. Let p(c) = -257*c**2 + 5*c. Let j(f) = -12*f**2 + f. Let z(n) = -5*j(n) + p(n). Calculate a(z(w)).\nAnswer: 38809*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 3*s - 3)*(5 - 1 - 2) + 0*s - 2*s + 3*s + (-s - s + 0*s)*(2 - 1 - 5).\nAnswer: 3*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = w**2 - 4*w + 1. Let m be y(5). Let a(i) = -i**3 + 5*i**2 - 5*i - 3. Let t be a(4). Let x be (t\/14)\/((-2)\/4). Are m and x equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 1.43 - 0.13. Let r = s - 1.36. Sort 0.4, r, 5 in decreasing order.\nAnswer: 5, 0.4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 68637557?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 22724 + -5 + 0\/4 + 1. What is g rounded to the nearest one thousand?\nAnswer: 23000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = 2*w + 44. Let k be (-2)\/4*3*-2 - 24. Let u be r(k). Is -2 < u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (((-150)\/300)\/((-10)\/(-65)))\/(5\/(-12))?\nAnswer: 39\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 7168 and 17920.\nAnswer: 35840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = c - 7. Let k be 790\/60 + 1\/(-6). Suppose -2*z + 8 = 0, 2*f + k = f + 5*z. Determine w(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -336642, -336634, -336626, -336618, -336610?\nAnswer: -336602","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 7 - -35. What is the tens digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 n and 1 h when two letters picked without replacement from {d: 3, o: 5, z: 1, h: 1, n: 2}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4448 is divided by 1477.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -360 = 8*h + 416. Let k = h + 165. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4787111942.\nAnswer: 2, 8819, 271409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t*t**(1\/4))\/t**(2\/21))**34 assuming t is positive.\nAnswer: t**(1649\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:31 PM and 10:39 PM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify c**(7\/2)\/(c\/(c\/c**(-1)))*c**(-6\/7)\/((c**(-6)*c)\/c) assuming c is positive.\nAnswer: c**(135\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 at most as big as -2\/87215?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -1 + -3656743?\nAnswer: -3656744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(21) + sqrt(21) + sqrt(84)*-3)\/sqrt(3)*-2.\nAnswer: 8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -741 - -501. Let j = i + 237.8. Which is the smallest value?  (a) -0.5  (b) -1  (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 90723 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence bk when two letters picked without replacement from bokkkokkv?\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*c + 3*q = -15, 4*c - 5*q = -c - 15. Let i be 5 - -3 - (-2 - c). Calculate the greatest common divisor of 1 and i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 80 (base 10) to base 2\nAnswer: 1010000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*w - 7*w - 16231 = 3*q, q + 8117 = 2*w. Let m be 6 - (w\/(-63))\/(-10). Which is smaller: m or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 3 + 12?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p*p**1)**(16\/5)\/((p\/(((p**0*p)\/p)\/p))\/p**(-2)) assuming p is positive.\nAnswer: p**(12\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:21 PM and 11:25 PM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = 157*a**2 - 7*a + 2. Let l be s(-7). Suppose 0*r - 4*r - l = 0. What is the common denominator of 19\/16 and 1\/(-24)*r\/12?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*j - 3 = -w, -3*j + 814*w - 795*w = -213 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Product of -426 and 0.062.\nAnswer: -26.412","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*n - 60*z + 55*z - 5600, -5*n - 5*z = -14035. What is the greatest common factor of n and 170?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 28, 113, 256, 457?\nAnswer: 716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z + 2*z + 70 = 5*d, d + 4*z + 3 = 0. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -160 (base 7) to base 11\nAnswer: -83","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert -3134340 (base 5) to base 11.\nAnswer: -36470","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.19 - -104774.2116?\nAnswer: 104774.4016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 1*(3 - 1) - -499998. Round l to the nearest 1000000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = -168*v - 5. Suppose 7*c + 43 = 8. Is p(c) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = 1 + 10*x - 18*x + 4 + 1. Suppose 0 = -n + 2*n + 6. Let j(q) be the first derivative of -7*q**2\/2 + 5*q + 14. Give n*i(l) + 7*j(l).\nAnswer: -l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.5 * 110.81.\nAnswer: 55.405","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -161?  (a) -4\/17  (b) -16\/25  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 0 + (-6)\/((-3)\/1). Suppose 5*d + 7 = q*x, -x - 5*d = -6*d - 8. Does 7 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence mpx when three letters picked without replacement from xzmpmmddgzd.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = 8*a**2 - 4. Let w(s) = -s + 2. Let b(j) = -j + 3. Let m = 31 + -34. Let i(k) = m*w(k) + 2*b(k). What is i(q(x))?\nAnswer: 8*x**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 2178 - -3?\nAnswer: 217b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -7 - -14. Let m be (-3)\/((-2)\/10 - 0). Let n be 1*(-3)\/((-9)\/m). Solve i*w + n = 2*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*u - 0*u - 9. Let x = u - -15. Suppose -737 + 797 = 5*o. What is the greatest common divisor of o and x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 10 - 5. Let v = -185 - -102. Let h = v - -82. What is the nearest to 1 in h, -1\/2, m?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 130830 to the power of 1\/2, to the nearest integer?\nAnswer: 362","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1905 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence pkk when three letters picked without replacement from {f: 2, k: 4, p: 1}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round 10545898.44 to the nearest one hundred thousand.\nAnswer: 10500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in -72, 2, 8, 837?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i + 5 = l - 0, 12 = -3*l + 3*i. Let c = 11 + -7. Sort c, 2, l in descending order.\nAnswer: c, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 226, 482, 734, 982, 1226?\n\"Answer: -2*d**2 + 262*d - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from vuhvuuk. Give prob of picking 3 u and 1 h.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 11 and 9558499?\nAnswer: 105143489","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z\/(z\/((z\/((z\/(z*z**(-1\/64)*z))\/z))\/z*z*z))*z*z*z*z\/(z**(2\/67)*z*z))**(2\/39) assuming z is positive.\nAnswer: z**(8511\/27872)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((n**(-4)*n*(n**(-24)\/n)\/n*n)**(1\/21))**(2\/11))**(-2\/7) assuming n is positive.\nAnswer: n**(16\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 38821300 and 2440196.\nAnswer: 427034300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -36*k + 44*k + 12424. Let f = -840 - k. Is 12 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h**3*h)\/h**(-3\/2))\/(h**(-2\/17)\/h**4)*h**(-2\/13)\/h**(-3\/7)*h**5\/h**(-2\/19) assuming h is positive.\nAnswer: h**(881651\/58786)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 15a (base 13) to base 14\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c be -2 - ((-7)\/(-1) - 3). Are -6 and c unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -540261 + 12?\nAnswer: -540246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -29 + (36 - 60) + 123\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2781109 or -2781108?\nAnswer: -2781109","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -25478, -25479, -25480, -25481, -25482?\n\"Answer: -m - 25477","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (2\/3)\/(5 - 68\/12). Which is bigger: m or 1\/46?\nAnswer: 1\/46","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = 1396*z - 704*z - 694*z. Let a(h) = -2*h**2 - 173*h. Give a(d(t)).\nAnswer: -8*t**2 + 346*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 2116251 and 747?\nAnswer: 747","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = -b**3 + 12*b**2 + 15*b - 17. Let z be k(13). Differentiate -z + 4 + 36*h**2 + 13 wrt h.\nAnswer: 72*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in five quarters of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -208.3853469 rounded to the nearest integer?\nAnswer: -208","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r be -11 + 18 + 1822\/(-22). Let m = 76 + r. Which is the closest to m?  (a) -4  (b) 1  (c) -1  (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.2 + 0. Let c = 42.88206 + -43.08206024. Let p = c - h. What is p rounded to seven dps?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = l - 3. Let v(a) = -a + 6. Let i be -17*2\/6 + (-2)\/(-3). Determine i*h(s) - 3*v(s).\nAnswer: -2*s - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o - 45 = -l, 29*l = 3*o + 31*l - 48. Calculate the greatest common divisor of o and 105.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g**2\/3 + 90656222*g\/3 + 2054637646828321\/3 = 0. What is g?\nAnswer: -45328111","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -45 - -13316005?\nAnswer: 13315630","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -8?  (a) 1  (b) 0.09589  (c) 4  (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 100*o = -34*o - 36*o + 1020. What is the remainder when -1 + 78\/2 + 1 is divided by o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -810, -2052, -3684, -5706, -8118, -10920?\nAnswer: -14112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = -x**2 - x + 57. Let i be n(0). Let f = 284\/5 - i. Let a be (1 + 0)*(4 + 1). What is the nearest to -2\/3 in f, a, 0?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 294 and 227542?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w = -3*w - 2*s + 193, 82 = 2*w - 4*s. Let b = 6 + 15. Suppose 9 = 3*q - b. Calculate the remainder when w is divided by q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 40814 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 76 - 45. Let k = 103 + -50. Find the first derivative of 8 - k*s + 31*s + j*s wrt s.\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1581880 divided by -355?\nAnswer: 4456","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Factor 45*y**2\/8 + 28617*y\/4 - 954.\nAnswer: 3*(y + 1272)*(15*y - 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 26 + 6. Let h(i) = j - 42*i + 5*i - 10. Is h(-21) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -2925, -2813, -2641, -2403, -2093, -1705?\n\"Answer: j**3 + 24*j**2 + 33*j - 2983","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*c = -50*x + 46*x + 66, -2*x + 5*c = -36 for x.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 0, 1.5, 0.3.\nAnswer: 0, 0.3, 1.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 46\/5 of a litre in millilitres?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -16047645 to the nearest 10000.\nAnswer: -16050000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 5120767\/(-66)*(-3)\/7. Let i = -33252 + t. Let f = 5\/14 + i. Which is bigger: 1 or f?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = 6*c - 48. Let a(l) = 2*l**3 + 4. Let b be a(2). Is g(b) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-84)\/(-140) + 37\/5\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {d: 1, g: 1, o: 5, y: 1, n: 3, v: 1}. Give prob of picking 1 n and 1 v.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Round -72.979 to 1 decimal place.\nAnswer: -73","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence stx when three letters picked without replacement from {j: 2, s: 1, x: 2, h: 2, t: 8, a: 2}.\nAnswer: 1\/255","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -36938 + -75?\nAnswer: -369b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 400 minutes after 2:35 PM?\nAnswer: 9:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1187 - 27*w**2 - 1187.\nAnswer: -27*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -5576, -44569, -150418, -356561, -696436?\nAnswer: -1203481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -959, -960, -961?\nAnswer: -962","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 0.2, 4, -4, 49, -31, -0.1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = -g**3 + 9*g**2 + 5*g + 9. Let u(w) = w**3 - 10*w**2 - 5*w - 9. Let l(v) = -4*q(v) - 3*u(v). Let p be l(7). Sort 3, p, -1 in ascending order.\nAnswer: -1, 3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*m + 14*m**2 + 0*m + 13*m**2 - 26*m**2.\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*l + u - 14, -l + 2 = -0*u + u. Suppose 7 = -2*a + l*a. Let j(q) = q + 1. What is the units digit of j(a)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 41 divide 74283?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) be the first derivative of -z**3\/3 + z + 12. Determine r(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) be the third derivative of v**8\/1848 + 2*v**7\/385 - 21*v**6\/220 + 18*v**5\/55 + 29*v**2 + 2*v + 19. What is i in c(i) = 0?\nAnswer: -12, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j*j**(2\/3))**(-3\/11)\/(j**4\/j*j**(2\/5)*j*j) assuming j is positive.\nAnswer: j**(-322\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-3)\/41)\/(21*26\/(-364))?\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -101\/37908 and -137\/21279024?\nAnswer: 63837072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 580452 bigger than 580484?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*b + 4*r - 4 = 0, 35*r = -2*b + 38*r - 23 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:28 AM and 6:48 AM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**12)**(-31\/5)*(g\/g**8)\/(g*g\/g**(1\/8)) assuming g is positive.\nAnswer: g**(-3331\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 4333?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v + v = 2*i - 137, v = i - 56. Is 26 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = f. Let d(i) = -17*i + 5. Let n(w) = 35*w - 9. Let y(x) = 11*d(x) + 6*n(x). Calculate y(b(h)).\nAnswer: 23*h + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence bbbh when four letters picked without replacement from {t: 3, q: 1, j: 1, b: 6, h: 2}?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16*h = -12*h - 16. Solve d - h*d - 21 = -3*l, -2*l = 5*d + 14 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = 131*l + 176*l + 21 - 313*l. What is m(5)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-8694)\/(-2691))\/((-2)\/(-26)).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*d - 2*p - 5, 5*d - 25 = p + 3*p. Let k be d*(1 - -6) - -2. Suppose v = 2*j - 19, -5*j + 3*v + 38 = -k. List the prime factors of j.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -6 + 5 + -10 - -11?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*l + 10*c - 8*c + 10 = 0, -2*l = 4*c + 14. Let i(x) = 18*x + 3. What is i(l)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = 21*t**2 + 19*t + 68. Let l be c(-6). Let j be (6\/10)\/(284\/l). Factor 1\/2*y**4 - j*y**2 - 1\/2*y + 1\/2*y**3 + 1.\nAnswer: (y - 1)**2*(y + 1)*(y + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = -g**2 - 4*g - 7. Let w(i) = -3*i - 6. Let v(j) = 3*a(j) - 4*w(j). Solve v(x) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = 23*a - 7. Let u(n) = -70*n + 20. What is -6*u(p) - 17*z(p)?\nAnswer: 29*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b + 10 = 3*j, 10*b + 5*j - 20 = 5*b. Let m be (-2)\/130*(-24)\/4. Which is smaller: b or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = 2*f**2 - 13*f + 12. Let h be r(6). Which is the closest to -0.1?  (a) 1\/4  (b) h  (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-1 + 4\/2)\/1. Let h = 1262 + -1263. What is the second smallest value in -2, h, 1.8, v?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 90*k**5 - 6*k**3 + 6882*k wrt k.\nAnswer: 1800*k**3 - 36*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -27405, -54953, -82501?\nAnswer: -110049","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = z**3 - 6*z**2 - 3*z - 14. Let s be g(7). Is s at least 14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from {p: 6, r: 12}?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) = -b. Let g(x) = -74*x + 185. Calculate n(g(i)).\nAnswer: 74*i - 185","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence lr when two letters picked without replacement from {j: 3, z: 3, l: 1, s: 8, r: 3}?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w + 2*w = g + 2, -4 = -2*w. Let n(u) = -2*u - 6. Let m(v) = v - 1. Let s(k) = -3*k + 5. Let y(l) = 4*m(l) + s(l). What is g*y(t) + n(t)?\nAnswer: 2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {d: 2, p: 1, i: 9, u: 7}. Give prob of picking 2 d and 1 u.\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 109309.\nAnswer: 281, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ki when two letters picked without replacement from {z: 1, k: 1, r: 3, y: 1, o: 1, i: 5}.\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.8373275158 rounded to three decimal places?\nAnswer: 0.837","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = -w - 2 + 0 + 10*w**3 - w**2 + 3. What is the units digit of c(1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(72) + -1 + 3 + 0 + 1 + -3 + -2 + sqrt(72))**2.\nAnswer: -48*sqrt(2) + 292","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 12.5 rounded to the nearest 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17052 + 188 = 2*t + 8*t. Calculate the remainder when t is divided by 69.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -31 + (-1 + -6 - (-5 + 25 + -35)).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 604827 is divided by 3070.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*m - 65*a - 359, 5*m + 2*a - 255 + 350 = -0*a for m.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Factor -u**2 + 93121*u + 93122.\nAnswer: -(u - 93122)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 5 - 714?\nAnswer: -708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Does 242753\/68 = 3569?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 86 - 2669*d + 83 - 169 + 295*d.\nAnswer: -2374*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -59 + (9 - 16) + 28 - 28.\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -11111003 (base 6) to base 4\nAnswer: -1102000023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 6 - 0 - (46 + -3 + -56)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = -l - 2. Let w be -3 + (-4)\/(4 + 0). Let a be b(w). What is the third derivative of -3*y**a + y**3 + 2*y**3 - 2*y + 2*y wrt y?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 times -0.04?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -197, 25 in increasing order.\nAnswer: -197, 3, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*(sqrt(11) + 1)**2 + ((sqrt(11) + -1)*2)**2.\nAnswer: -2*sqrt(11) + 84","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = -q**2 - 6*q + 5. Let g(y) = -y**2 - 3*y - 1. Let n be g(-3). Let l = n - -3. Suppose -l*a - 3*a - 30 = 0. Calculate d(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r + 6 = -v - 6, 0 = 5*r + 5*v. Suppose -7*n = -r*n - 51. Determine h so that -17*h - 20 - n*h + 505*h**2 - 519*h**2 = 0.\nAnswer: -10\/7, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*a - 13*a = 11*a - 173322. What is the tens digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a - 18 = -0*a. Is a a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = -3*u**2 + 677*u. Let f(a) = 3*a**2 - 22. What is l(f(t))?\nAnswer: -27*t**4 + 2427*t**2 - 16346","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from hhhhaa. What is prob of sequence hah?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-4)\/(-10))\/(4 - 3). Let s = 0.2 - -0.8. Which is the third biggest value?  (a) k  (b) s  (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {n: 11, i: 9}. Give prob of sequence nn.\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 2 - 1519487?\nAnswer: -1519485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -13 + (2 - 54 - -88).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 3.322287 kilograms in tonnes?\nAnswer: 0.003322287","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, -30, -6, -1, 0 in descending order.\nAnswer: 0, -1, -4, -6, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of s**5 - 1073*s**3 + 1184*s**2 wrt s?\nAnswer: 60*s**2 - 6438","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2381807?\nAnswer: 2381807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = 2*p**3 + 2*p**2 - p + 2. Calculate j(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = -3*y - 12. Let s be i(-8). Let a = s - 0. Suppose 48*x**2 + x**4 + 64*x + a*x**3 - 21 + 21 = 0. Calculate x.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1242\/243 - 5) + (-268)\/(-18) + -2.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.2 in -2\/13, -2, 19, 2?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 8221 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 5 - (0 + 5 - (5 - 5))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 230035621 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 177082?\nAnswer: 2, 37, 2393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence rkzk when four letters picked without replacement from {r: 1, z: 1, u: 1, k: 2}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = -13 - 3*z - 20*z**2 - 11 + 23. Let p(f) = -9*f**2 - 2*f. Let h(d) = -4*o(d) + 9*p(d). Let a(w) = -w**2 + 11*w - 7. Let m be a(11). What is h(m)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -3 and 50?\nAnswer: -150","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -40 = -0*c - 5*c. Suppose -40*u - 5*t = -35*u - 70, -4*t + 20 = 0. Which is bigger: c or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2017 divided by 2017?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 10\/(-9*(-12)\/54). Suppose 25 = 16*t - 23. Solve q*j + t*j = 16 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1104153 is divided by 157632.\nAnswer: 729","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.2404 and 0.045123.\nAnswer: 0.0108475692","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) be the second derivative of -x**5\/10 + 359*x**4\/12 + 495*x**2 - 249*x + 3. What is the derivative of m(t) wrt t?\nAnswer: -6*t**2 + 718*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -121112111012 + -112?\nAnswer: -121112111201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 - 3 - (15 + (-17 - -5))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ih when two letters picked without replacement from {h: 1, y: 2, q: 3, i: 1, u: 6}?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 789129.\nAnswer: 3, 11, 2657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = x**2 + 6*x - 3. Let f be (-4)\/6 - (-132)\/(-18). What are the prime factors of z(f)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.24 + -0.48. Let r = -5.24 - m. Which is the smallest value?  (a) r  (b) 1  (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 70 + -65. Let q be (-5 + n)\/(2 + -1). Solve q = 5*v + 7 + 13 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 477 - -3078. Find the common denominator of -81\/16 and (-78)\/(-21) - 4 - f\/(-1540).\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = 150323*f - 450975. Give v(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -11 + 15. Solve -2*x - 32 = -5*x + 5*o, 0 = 2*x + f*o + 8 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -81*v + 11476 + 54134. What is the lowest common multiple of v and 4?\nAnswer: 1620","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 9 + -4. Let k be (-369)\/(-18) - (-6)\/(-4). Suppose -k = -2*v + p, v + p - t = 12. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1013 + -429. Suppose -116 = -5*v + f. Is 35 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1652 is divided by 482.\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = l**3 + 8*l**2 + 4. Let j be a(-8). Suppose -j*v - 12 + 116 = 0. Calculate the greatest common factor of 39 and v.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/4 in 0, 0.4, 10, -2\/9?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express 14 + 68 + 0*w + 2*w in the form q + v*w and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/2?  (a) 0  (b) -1406\/11  (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-14)\/(0 + (-2)\/2). Let x = 25 - j. Suppose 0 = -2*l + 8 + 4. Calculate the remainder when x is divided by l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, 199, -0.2 in ascending order.\nAnswer: -1, -0.2, 199","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 6639b (base 12) in base 7?\nAnswer: 1102364","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4*d + 485*d**2 - 117*d**2 + 406*d**2 + 0*d + (d - d + 2*d)*(-d + 4*d - 4*d).\nAnswer: 772*d**2 - 4*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 2340\/7 + -334. Let v = 28.4 + -29. Let g = -6.6 - v. Put 3, c, g in descending order.\nAnswer: 3, c, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -76646000 rounded to the nearest one hundred thousand?\nAnswer: -76600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 8267747 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -241*q - 97076354 = 167370536. Round q to the nearest one hundred thousand.\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 1\/3 - 8817\/(-9). Let y be (-4)\/10 - s\/50. Let n = 11 - y. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 4655025116?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 33.8 times 0.4\nAnswer: 13.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 100 = -42405*m + 42409*m for m.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.4?  (a) 2  (b) 0.0034  (c) 3\/4  (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*i + 8, -33*i - 38 = 4*r - 36*i. Is -414\/35 at least r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence rs when two letters picked without replacement from {q: 2, c: 1, r: 2, s: 1, n: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u - 2 = 3*i, -5*u + 0*i = -2*i + 3. Calculate the common denominator of (389\/88)\/u + (-344)\/(-86) and -97\/32.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -9*1\/(-36)*24\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2\/(-2)*14*4\/(-14)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) be the first derivative of -3*j**5\/5 + 5*j**3 + 8. Find the third derivative of d(c) wrt c.\nAnswer: -72*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -0.02  (b) -0.2  (c) -5  (d) -0.0155  (e) 5\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 x, 1 v, and 1 h when three letters picked without replacement from vwtwhwxwtxwto.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify m**27\/m*m**15 assuming m is positive.\nAnswer: m**41","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00005192 rounded to 4 decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 355 + (0 - -4 - 2). Let y be (-2)\/7 + r\/49. Suppose -3*f + y*f = 48. What are the prime factors of f?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 54 in 2, -0.4, 0, 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 20, -67557, -16?\nAnswer: -67557","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = -5*y + 2*p + 28, 4 = 2*y + 3*p. Solve 5*b + y = 20 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l - w - 85 = -4*l, 5*l = -3*w + 229. Is l > 45?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -242 - -214.8. Let x = c - -17.5. Let p = x + 0.7. Put -0.1, 0.5, p in descending order.\nAnswer: 0.5, -0.1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2 (base 7) to base 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*h = 29 - 9, -2*h = -3*c - 1. What are the prime factors of 20*1 - c\/(-1 + 4)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = u. Let v(j) = 49*j**2 - 98*j. Calculate -98*a(z) - v(z).\nAnswer: -49*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 95207202 is divided by 344.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -9791, 1, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 1193197617 divided by -3?\nAnswer: -397732539","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express 0*l**4 - 4*l**4 + 5*l**4 + 2*l**4 - l**4 - 2*l**4 + (2 + 0 - 6)*(l**4 - 2*l**4 + 3*l**4) in the form k*l + p*l**2 + u*l**3 + a*l**4 + h and give a.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify q**(-7)\/q*q**(4\/3)*q*q*(q\/(q**(3\/10)\/q))\/q*q**(2\/3)\/q assuming q is positive.\nAnswer: q**(-43\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 25374 + -22834. Calculate the least common multiple of f and 12.\nAnswer: 7620","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 59 is divided by 16.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15 + 22 = t. Let a = -6 + t. Let l(m) = m**2 - m. Let u(g) = -g**2 + 4*g. Give a*u(c) + 4*l(c).\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 5991.906 decades?\nAnswer: 59919.06","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*y - 94*y**2 - 2*y**2 + 270 - y - 270 - 5*y.\nAnswer: -96*y**2 - 6*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 42*c - 3 = 4*a + 47*c, 3*c = 5*a + 13. Let p be a*(5 - 156\/30)*30. Solve -i = -5*i + p for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d - 2*r - 5588 = -r, 0 = d + 3*r + 1386. Let b be d*(-61084)\/8*-1. Let n = 4574429 + b. What is n rounded to the nearest one million?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1 - -3) + (-20 - 2) - (165 - 171)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*x + 3*k - 23830, -3*x + 45*k - 41*k + 14327 = 0. Does 19 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2 + 2*j**2 - 2 - j**2 + 0*j**2 - j**2 + (2*j**2 - 5*j**2 + j**2)*(1 - 4 + 0) + 17*j**2 - 399 + 399.\nAnswer: 23*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*g = -13*j + 145, 806*j = 1606*j - 803*j + 30 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5756 = -3*f + 4*j, 0 = -4*f + j - 1253 + 8945. What is the highest common divisor of 91 and f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from ppgpppppspggpdpsppps.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 954835838?\nAnswer: 2, 11, 17, 37, 69001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -15 in 0, 3, -2, -1\/5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = g**3 - 6*g**2 + 10*g - 5. Let c be a(4). Suppose 0 = -n + c. Suppose n*p - 130 + 13 = 0. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-38)\/57)\/((-8)\/(-276)).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 + -19 + 2 - (134 - 140).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s - 4 = -3*s. Let a be -1 + s*(-3)\/(-2). What is the first derivative of -9*g**a + 9*g**2 + 3 + 2*g**4 wrt g?\nAnswer: 8*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**(13\/3)\/((v**(-41)\/v)\/v)*(v\/(v\/(v*v\/(v**24\/v))))**(-2\/11))**37 assuming v is positive.\nAnswer: v**(62456\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = -2*q. Let u(l) = -l**2 + l - 1. Let m(x) = 2*x**2 - 6*x + 6. Let d(a) = -m(a) - 6*u(a). Determine o(d(v)).\nAnswer: -8*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -24269.17*2.5\nAnswer: -60672.925","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 - ((-376)\/72 - -6).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 39189 - 25251. What are the prime factors of m?\nAnswer: 2, 3, 23, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {e: 1, b: 12, t: 1}. What is prob of sequence bee?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:06 PM and 12:25 PM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 50 a factor of 445493?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand -p**4 + p**4 - p**4 + 2*p**4 - p**4 + 0*p**4 + (-p - p + 3*p)*(2*p**3 + p**2 - p**2) - 3*p**3 + 3*p**3 + 2*p**4 + 4*p**4 - p**4 - 6*p**4.\nAnswer: p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (2 + -5)\/(-2 + 1). Suppose 0 = r*y + 183 - 264. What is the highest common divisor of y and 36?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*k + 2*k + 0*k)*(-2*k**4 + 0*k**4 + 4*k**4) + k**4 - k**4 - 2*k**5 - k + 8475187*k**3 - 8475187*k**3 - 19*k**5 + 142*k**4.\nAnswer: -25*k**5 + 142*k**4 - k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 663324 and 456?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*(sqrt(5) + sqrt(5) + 3 + 2 + sqrt(55)\/sqrt(11)*5 + -5*(sqrt(125) - (sqrt(125)*5 + 2))**2).\nAnswer: -30045 - 1179*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 14 - 12. Solve -7 = 3*c + n for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -8*a**3*z + 2*a**3 + 2*a**2*s - 241*a*s**3 - 69*s**3*z wrt z.\nAnswer: -8*a**3 - 69*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*w + 2*y + 16 = 0, 2*y = -4*w - 1 + 3. Solve 1 = d + q, 4*d + 1 = -w*q + 3 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*w + 0*u = -5*u + 105, -w - 15 = -3*u. Let i = 22 + w. Let d(p) = -p**2 + p - 2. What is d(i)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be -33*(16\/60 + (-4)\/(-10)). Let p be (3\/3)\/3 - o\/6. Suppose p*n = n + 8*n. Solve i - 8 + 3 = n for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i + 7*t - 80 = 3*t, 5*t = 4*i - 71. Which is smaller: i or 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = 365*h**2 - 5*h + 4. What is the thousands digit of u(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 17746944 a multiple of 512?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = q**3 + 4*q**2 - 8*q - 2. Let k(r) = -3*r**3 - 11*r**2 + 23*r + 6. Let m(l) = 6*k(l) + 17*z(l). What is the least common multiple of 18 and m(-4)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*d**3 + d - 15 + d**3 - d.\nAnswer: 5*d**3 - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + sqrt(108) + 2.\nAnswer: 3 + 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 14113*h - 1967 - 14809*h + 1967.\nAnswer: -696*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Determine o so that 20*o**4 - 2267*o**3 - 66475*o**2 - 214596*o - 75348 = 0.\nAnswer: -21, -13\/4, -2\/5, 138","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -o**5 + 2234527*o**4 - 15219*o**2 - 430*o + 1?\nAnswer: -60*o**2 + 53628648*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4 + -4 + -2 - (2 - -1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*i - 1160 + 1184 = 0. Sort -4, i, -7\/3.\nAnswer: -4, -7\/3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2*v**4 + 8749*v**3*w - 249*v**2*w - 5*v*w + 2*v - 78015*w + 1 wrt v?\nAnswer: 24*v**2 + 52494*v*w - 498*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 22733 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 174 a factor of 102506?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ccuu when four letters picked without replacement from cuucuuuuuuccuuuc.\nAnswer: 55\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.08 * 3288.\nAnswer: -263.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 500 and 75.\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 242155577 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = 3*n**3 - 2*n**2 - 9. Let g(r) = -9*r**3 + 6*r**2 + 26. Give 17*f(x) + 6*g(x).\nAnswer: -3*x**3 + 2*x**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -10146 - -10156. Solve 2*n + 2*u = -r, -37*n = -39*n + u - 1 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1 - -2. Suppose 4*q + 2891 = 19*q + 2786. Solve q = l + j for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 113 - 1201220131?\nAnswer: -1201220012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 1496291 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Does 59 divide 57525?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = z. Let j(q) = -54180259*q. What is j(s(k))?\nAnswer: -54180259*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -39 + 38.8. What is the closest to 2\/3 in b, 7\/5, -3\/8?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -3 + 14. Suppose 5*r - 4 = a. Suppose g = -0*g + r. Solve -g*q = -0*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = -o**3 + 4*o**2 + 247*o + 29. Let x be q(-14). What is the highest common divisor of x and 88?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 29*q = 36*q + 7. Let y be (-9)\/(-12)*(20\/(-12) - q). Which is the closest to 0?  (a) -11  (b) -1\/6  (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 28472 and 14?\nAnswer: 199304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*p + 11*p - 25018. Suppose -p = -9*y + 4292. Does 14 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1687201 divided by -1.\nAnswer: 1687201","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n = 3*n + 4*r - 1653, 0 = -4*n - r + 6552. List the prime factors of n.\nAnswer: 1637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -449*m + 507 = -1758 - 1327 for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) be the third derivative of -101*c**7\/42 + c**5\/60 - c**4\/24 + 344*c**3\/3 - 6*c**2 - c + 27. Find the second derivative of i(h) wrt h.\nAnswer: -6060*h**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = 2*q + 4. Let m be w(8). Suppose 5*x = -6*x + 55. Solve 0*l + x*l + m = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*d**4\/8 - 51*d**3\/2 - 1185*d**2\/4 + 5013*d\/2 - 33075\/8 = 0.\nAnswer: -49, -25, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 9\/(-9)*0*1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-32)\/80)\/(1\/5). Let g be j\/(-3) + (-93)\/(-9). Let f = g - -7. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 424782.081 rounded to the nearest 10000?\nAnswer: 420000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 6 a factor of 193096926?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 20 - 4. Let n be j\/(-64) - 1\/4. Let u = -8.3 + 8. Which is the third biggest value?  (a) u  (b) n  (c) 4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = b - 4. Let c be m(-3). Suppose -3*w + 25 = 46. Let a = w - c. Solve a = 3*y - 16 + 1 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor j**3\/6 + 7*j**2 + 245*j\/6.\nAnswer: j*(j + 7)*(j + 35)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = i**2 - 61*i + 423. Determine h(8).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = -j**3 + 5*j**2 + 7*j - 1. Let y be t(6). Suppose -y*f + 88 = -f. What is the remainder when f is divided by (2*1 - (-56)\/12) + 476\/(-714)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -705602 (base 8) to base 16\nAnswer: -38b82","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r = -138 - 78. Suppose -3*v = -220 - 293. Let k = v + r. Calculate the highest common divisor of 9 and k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-8 - (-5 - 8)) + (-1 - 1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*j**2 - 22653*j - 45294.\nAnswer: -3*(j + 2)*(j + 7549)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -43*z + 97*z - 38*z**2 - 54*z.\nAnswer: -38*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 200 and 39960.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = -2*j + 4. Suppose 7 = 6*l - 5. Suppose d + 0 = l. Let f be w(d). Solve 0 = -f*m + m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 200153856?\nAnswer: 2, 3, 7, 31, 1201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-5)\/(3 + 12\/(-3)) + (-333)\/555.\nAnswer: 22\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 96, 85, 62, 21, -44, -139, -270, -443?\n\"Answer: -i**3 - 4*i + 101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Put together 0.8 and 71.349.\nAnswer: 72.149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -55\/258 + 2\/43. What is the closest to 0.1 in 1\/5, -3, l?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*b**4 - 168*b**3 + 2352*b**2.\nAnswer: 3*b**2*(b - 28)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ij when two letters picked without replacement from {i: 1, j: 2, f: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 8 and 54144?\nAnswer: 54144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 11 - 15. Suppose -20*l = -7 - 53. Let m(x) = 5 + 4*x - 12*x + l*x + 6*x. Calculate m(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 429 and 162591.\nAnswer: 429","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (0 - 0) + -3 - 4. Let r(g) = g**2 + 9*g + 9. What is r(u)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-46)\/575*200\/(-32).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1107056 to the power of 1\/2, to the nearest integer?\nAnswer: 1052","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 3668636?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 1764874 divided by -3?\nAnswer: -1764874\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 228156, 455662, 683168, 910674, 1138180, 1365686?\n\"Answer: 227506*m + 650","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 a factor of 595?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*(-3 + sqrt(500)) + -4 - 6*(sqrt(500) + (sqrt(500) - -6*(sqrt(500) - (0 + sqrt(500))))))**2.\nAnswer: -1500*sqrt(5) + 112525","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -14 - 10499*t**3 + 5530*t + 5531*t - 11061*t + 14.\nAnswer: -10499*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (7 + 6*i + 6 - 18)*(-2 + 7 + i - 1).\nAnswer: 6*i**2 + 19*i - 20","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = x**3 + 6*x**2 + x - 8. Let r be o(-6). Let m = r + 42. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*p + 3*p = -18. Let w be (3 + p\/3)*-1. Suppose 6 = 3*h, -4*h + 8 = -2*i - 0*h. Which is greater: w or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -4 (base 10) to base 2.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = -195522*n**2. Let p(b) = -1642*b**2. What is c(p(u))?\nAnswer: -527159377608*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2821533249?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 3957 a multiple of 163?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 10\/567 and -139\/1146.\nAnswer: 216594","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in 17\/2 of a week?\nAnswer: 1428","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -226*b = -248*b - 220 for b.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 738 + -2953\/4. Which is the second smallest value?  (a) -1  (b) 0.039  (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -208, 189, 2, 3, 5 in ascending order.\nAnswer: -208, 2, 3, 5, 189","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (15\/5 - 429)*-2. Let c = -460 + t. Is c a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (5\/10)\/(2\/12). Suppose n*t + 0 = 102. Is t a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -431 - -1661. Let u = m + -665. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 6182 by -3091.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence eq when two letters picked without replacement from {r: 4, e: 2, q: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*w = -5*g + 1610, 0 = -3*w - 4*g - g + 962. Let l = 559 - w. List the prime factors of l.\nAnswer: 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 736265226 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -922*l + 903*l = 323 for l.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = 138*r**2. Let f(q) = 10 + 2*q - 22 + 12. What is f(w(o))?\nAnswer: 276*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 3284*o**2*q**3*s - 3*o**2*q**2*s + 22*o**2*q*s - 5*o**2*s wrt q?\nAnswer: 19704*o**2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 79\/84 and 163\/84.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -15\/4, -24901, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) -0.02  (b) 10  (c) -2  (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-22)\/(-10) - (-1 + 3). Suppose -3*b = -b - 4. Suppose 0*g = b*g - 2. Which is smaller: g or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-18)\/18*(-15)\/(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 791.599 tonnes in micrograms?\nAnswer: 791599000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a be -2 + 0 - (-6638)\/62. Let l(n) = n - 112. Let i be l(7). Let f = i + a. Are 1 and f nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5809.475 nanoseconds in milliseconds?\nAnswer: 0.005809475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.1 take away 47261520375770?\nAnswer: -47261520375769.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 8 - 27. Let a be -1 + k\/(-1 + 0). Is ((-8)\/(-6))\/(4\/a) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify q**(2\/3)\/q**13*((q\/((((q\/(q**(3\/2)*q))\/q)\/q)\/q*q))\/q)**(1\/9) assuming q is positive.\nAnswer: q**(-215\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {y: 9, s: 7}. What is prob of picking 2 s?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = g + f - 2, -3*g - 14 = -6*f + 5*f for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -263*q + 267*q = t + 16, 4*t + 4 = -4*q for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 379793473.\nAnswer: 227, 1673099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 45 + -23. Let m be 152\/352 + (-4)\/r. Which is the second biggest value?  (a) 5  (b) 2  (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0018737 to five decimal places.\nAnswer: 0.00187","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*m - s + 104 = 0, s = -0*s. Suppose -4*w - 3*o + 20 = 0, o - 6*o + m = 3*w. Suppose -22 = -w*g - 4. What are the prime factors of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 563 is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = j**3 - j**2 + j - 4. Let k(m) = 2*m**3 - m**2 + 3*m - 9. Let x(y) = 2*k(y) - 5*n(y). Let r be x(3). Solve -r*t - 5 - 15 = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((1 + sqrt(7) - sqrt(7)) + 3 - (-4 + sqrt(63))) + ((sqrt(35)*1)\/sqrt(5) - (2*sqrt(21))\/sqrt(3))**2.\nAnswer: -3*sqrt(7) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -344, -120, 104, 328, 552, 776?\nAnswer: 1000","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 5363640 and 15651.\nAnswer: 423","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -9282, -9290, -9298, -9306?\nAnswer: -9314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, 1, 0.8697, -0.11 in decreasing order.\nAnswer: 1, 0.8697, -0.11, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -2060 - -2324.8. Which is greater: s or -1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 5 in -8\/9, 0.4, -1\/8, 1, -9?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = 4*g - 11 - 20 - 14*g - 47. Let l be y(-8). Solve 0*v + 23 = -3*u - 2*v, 0 = u - l*v - 3 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:35 AM and 10:49 AM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = -21*o**3 + 57. Let c(b) = -14*b**3 + 113 - 60*b**3 + 33*b**3. Let z(s) = -6*c(s) + 11*w(s). Find the first derivative of z(y) wrt y.\nAnswer: 45*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) be the second derivative of d**3\/6 - 13*d - 33. Let i(z) = -z**2 - 283. What is i(p(q))?\nAnswer: -q**2 - 283","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of (4\/24)\/(12\/136) and -19\/3.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = 5*i. Let m(w) = 12274*w - 2. Calculate g(m(b)).\nAnswer: 61370*b - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w - 3*u - 175 = -1735, 0 = -5*w - 2*u + 2588. What is the remainder when w is divided by 155?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 2 + 143?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*f - 5*i + 4128, 2*i - 623 - 412 = -f. Let r = f - 573. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*y + 10*y - 25 = 144 for y.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-50)\/30 - -2)\/((-6)\/54) + 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = t**2 - 1127*t + 145717. Give d(149).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 6325\/920*((-12)\/(-15) + 0)\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 141983 and 41.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = 2*r. Let o be g(2). Suppose -t - 2*w + 6 = 0, w - 25 = -5*t - o*w. Suppose -115*c = -123*c. Solve t*q - x = -7, -2*q + 3*q + x + 8 = c for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = -5*b. Let k be p(-1). Let i(q) = q + 1. Is i(k) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1025 or 1030?\nAnswer: 1025","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange t - 3*t + 4*t + (3 + 1 - 5)*(0*t - 4*t + 3*t) + (0 + 2 - 1)*(2 + 1 + 0)*(-t - 4*t + 3*t) to the form d + r*t and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {v: 1, p: 2, t: 3, j: 1, f: 3, q: 3}. What is prob of picking 1 q and 1 j?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is (18 - (-3 - -1)) + (28 - (-55 + 75))?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-20 + (-205)\/(-10))*(-2)\/6.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = 2*p**3 + 7*p**2 - 8*p - 24. Calculate n(-3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 2570422 divided by 1?\nAnswer: 2570422","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -24614 divided by -27316\nAnswer: 12307\/13658","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 0\/9 + (2 - (-1 + -1534)). Suppose y + f = 1545. Solve -o - y = o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.01288745236 rounded to 2 dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/25 of a litre in millilitres?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 + 0 = -5*g. Suppose 3*m + 245 = -g*m. Let k = m + 86. List the prime factors of k.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-11)\/(-55))\/((-28)\/(-105))?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-3 - (3 + -1)) + 0.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 27  (b) 2  (c) 312\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = -61*n**2 + 11*n - 284. Let k(f) = -26*f**2 + 5*f - 142. Let b(i) = -3*h(i) + 7*k(i). Give b(11).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = -n**3 - 4*n**2 - 7*n - 24. Let h be c(-4). Let f(p) = p + 1. Give f(h).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-2)\/(-2 - 0)*-2. Let m(n) = -74*n + 1411. Let i be m(19). What is the biggest value in i, -0.3, z?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(180)*2 + 5.\nAnswer: 5 + 12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 113445 (base 8) in base 2?\nAnswer: 1001011100100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*j - 408 + 498 = 0. Calculate the least common multiple of j and 60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-9 - 0) + 29 + -19 + -5.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -8846*j**5 - 66*j**3 - 6*j**2 - 9550*j - 522?\nAnswer: -176920*j**3 - 396*j - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, -289, -2, -5 in ascending order.\nAnswer: -289, -5, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = -25*f - 92. What is y(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 34771909?\nAnswer: 34771909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = -j**3 + 4*j**2 - 4*j. Let p be l(3). Suppose -282*a + 350*a - 21 - 47 = 0. Let h be (-2)\/p - a*4\/6. Solve 4*g - 4 = -h*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -51, -175, -387, -705, -1147?\nAnswer: -1731","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 363588364?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -2 * 2.606\nAnswer: -5.212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((1 + 0\/(-1))\/(-4))\/(5026\/(-11488)). Let 0 - 16\/7*k - d*k**2 = 0. What is k?\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -684 - -1002. What is the remainder when a is divided by 108?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -11 + (-16 - (8 - (9 + 15))).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = -29*t**2. Let u(r) = -14*r**2 + 8880. Give u(p(q)).\nAnswer: -11774*q**4 + 8880","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = 6*a**2 + 5*a - 19. Let i be d(-7). Let y be ((-3)\/5)\/((-12)\/i). Let j = y - 10. Solve j*b + 0*b + v = 7, 8 = b - 4*v for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 0.3, -3, 1, 93?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Express 387*v + 29816 - 29816 in the form p*v + i and give p.\nAnswer: 387","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (80\/6)\/(2\/18). Let y be (9\/(-4))\/(21\/(-140) + 0). Calculate the highest common divisor of w and y.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 8 divide 1189?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 280, 563, 846?\nAnswer: 1129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 34509 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 72 + -78 + (-16 - -35)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*(sqrt(98) + -3)**2*-6.\nAnswer: -1260*sqrt(2) + 3210","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = 8*m**2 + 7*m**2 - 6*m**2. Let h(z) be the first derivative of 4*z**3\/3 - 883. What is u(h(j))?\nAnswer: 144*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 342*k - 337*k = 5*b - 40, 0 = 2*b - 3*k - 21 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Are 2269900 and 2269899 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 118 is divided by 116.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 12424?\nAnswer: 2, 1553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-2 - (-24)\/14)*-35. Solve 0 = 3*v + 4*s - k, s = -2*v - 0*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qif when three letters picked without replacement from tsiqtfftcctct?\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -17 + -1 + 3 + (-13 - 5 - (-21 + 15))?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.0956 + 0.1056. Which is the biggest value?  (a) 23  (b) 1  (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -431, -1811, -4111, -7331, -11471, -16531, -22511?\n\"Answer: -460*u**2 + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + (sqrt(88) - (((sqrt(88) - sqrt(88)*1)*-3 - sqrt(88)) + sqrt(88)))\/sqrt(8).\nAnswer: 2 + sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-9 - (-115 - -25) - 20) + -15 + -3.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-58)\/(-190) - (-304)\/(-2888). Let f = -5 + 5.2. Which is the nearest to s?  (a) 0.3  (b) f  (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -117966 = 444*z - 450*z. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -60607356 + -1?\nAnswer: -60607357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let -10*o**3\/7 + 22194*o**2\/7 + 629562*o\/7 - 651746\/7 = 0. What is o?\nAnswer: -29, 1, 11237\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify a\/(a**(-13\/4)*a*a)*a\/a**(-2)*a assuming a is positive.\nAnswer: a**(25\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 37*v - 106*v**3 - 88*v + 51*v + 45*v**3.\nAnswer: -61*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of ((-822)\/(-44))\/(30\/20*-12) and 139\/36.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**(-2\/5))**(3\/5)*p**(-3)*p*p**(-1\/7)*(p**(-3)\/((p\/(p\/(p\/((p\/(p*p*p**(1\/8)*p*p))\/p)*p)))\/p))**(-8\/3) assuming p is positive.\nAnswer: p**(10124\/525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:50 PM and 10:47 AM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {g: 1, u: 8, z: 4}. Give prob of picking 3 z.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -1 - -1. Suppose -8*m + 3*m = -w - 10, -2 = -m - 5*w. Let a = 6 - m. Solve -a = 2*s + 2*d - z, 5*d = 5 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) be the first derivative of -24*x**2 - 18*x - 48. Is 11 a factor of b(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence adpu when four letters picked without replacement from vpavvdaupv.\nAnswer: 1\/1260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 163607?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (3754\/(-8))\/(30\/(-240)).\nAnswer: 2, 1877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 211692 a multiple of 156?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Convert -31324 (base 5) to base 12.\nAnswer: -1261","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does -971 = -971?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -c + 9634 - 9634.\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 34 - 12. List the prime factors of m.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 4*y - 12, -8 + 1 = k - 3*y for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.3*-2375002.\nAnswer: 712500.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = k**3 + 9*k**2 + 6*k - 3. Suppose -20*h - 322 = 3*h. Let s(j) = -j**2 - 20*j - 23. What is the remainder when s(h) is divided by m(-8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*a = -2*b - 73, 2*a + 2*b - 27 = 5*b. Suppose 5*l = 4*l + a. Is l a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 4*c + 9*c + 7*c + (-1 + 4 - 2)*(-c + 3*c + 0*c) - 5*c + 5 - 5 - 42*c - 1533 + 1533 to n*c + b and give n.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 175519, 175594, 175719, 175894, 176119, 176394, 176719?\nAnswer: 177094","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:24 AM and 11:04 PM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*d**4 + 176*d**3 - 1164*d**2 + 1784*d - 800 = 0 for d.\nAnswer: -50, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = -9*j. Let w(n) = -5*n. Calculate 7*w(p) - 3*z(p).\nAnswer: -8*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = 7*g + 12. Let r be f(19). Calculate the highest common divisor of r and 493.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = -12*w + 74. Is k(-14) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 141713.1 decades to years.\nAnswer: 1417131","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 15 (base 14) to base 3.\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -1051437, -1051436, -1051435, -1051434, -1051433?\n\"Answer: w - 1051438","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -29\/92 and -22\/84479?\nAnswer: 337916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 11 + (3 + -11 - 8) - (-12 + 1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -65\/3 and 17\/480750.\nAnswer: 480750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 2 a factor of 1214256?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 175396144 a multiple of 154?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 176*o - 70642 = 157*o. What is the greatest common divisor of 44 and o?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {g: 5}. Give prob of picking 3 g.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*(3 + 3 + (sqrt(2448) + sqrt(2448) + 0 + 3)*4 + 4).\nAnswer: -576*sqrt(17) - 132","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round 55.5160684 to the nearest integer.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 195*d**2 - 31*d + 31*d.\nAnswer: 195*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 7964 to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = -25*d**3 - 4*d**2 - 59*d - 224. Is u(-8) a multiple of 82?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = -3*a**3 - 6*a**2 + 695*a + 3844. Determine m(-6).\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -194.305 - -194. What is b rounded to 2 decimal places?\nAnswer: -0.31","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*j - 3*j - 5 = -3*m, -4*m = j - 7 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 1 + (-24 - (-4 - -12 - (-5 - -10)))\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -662263, -662265, -662267, -662269?\n\"Answer: -2*r - 662261","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -28740 + 28968. What is the nearest to c in -1\/28, -2, -1?\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 5\/((-15)\/(-6)) - 0\/2. Suppose g = 3*d - 19, 5*d - 3*g - 37 = -0*g. Sort 0, d, y in decreasing order.\nAnswer: d, y, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 6 + 1. Suppose 3*u - 5*h + 4*h + 2 = 0, 2 = -5*u + 3*h. Is o*(u - -1 - -3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 6*d**3 - 18*d**3 - 3*d**3 - 1 - 39*d**3 + 8*d**2 - d**3 + 3*d to p*d**3 + k*d**2 + s + y*d and give k.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = -12*c + 33. Let y be p(4). Let g be 1 + 6\/(-5) + y\/300. What is the third smallest value in 0.18, g, 1\/4, -1?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 2  (b) 4  (c) 526.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 4*f*o**2*v - 62*f*o*v**3 + 2*f*o*v - f - o**3*v + 6*o**2*v**3 + 2 wrt o.\nAnswer: 8*f*v - 6*o*v + 12*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 484 + 45*w**3 - 484.\nAnswer: 45*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:21 PM and 7:47 PM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 210331 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*k - 3 = -19 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {n: 2, b: 5, y: 2}. Give prob of sequence yb.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 15 + 8231 + 9 + -8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4998 + 2\nAnswer: 5000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 39443 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from bvwwbwbvwabbbwbvw. Give prob of sequence abv.\nAnswer: 7\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1685 is divided by 170.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -17125 times -0.02\nAnswer: 342.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.1 and 97.\nAnswer: -9.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -22*r - 72 = 2*r. Suppose 5*s + 5*v = 5, -6*s - 24 = -5*s - 4*v. Let f = 2 + s. Sort 5, f, r in increasing order.\nAnswer: r, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-488)\/(-312) + 25\/15 - 0*(-27)\/(-999)?\nAnswer: 42\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -211278 divided by -1\nAnswer: 211278","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-15)\/25)\/(18\/60)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 39, 67, 109, 171, 259, 379, 537?\n\"Answer: d**3 + d**2 + 18*d + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -0.5 times -11876.771\nAnswer: 5938.3855","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*sqrt(10)\/sqrt(2) - sqrt(10)\/(sqrt(10)\/sqrt(5)).\nAnswer: 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -0.3, -5, 0.4, -26, 3, 5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-4 - 8 - -3) + 5 + -2?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = 9*m**2 + 46*m + 11. Let f be k(-5). Solve 128*r - 12 = 4*t + 130*r, 0 = 4*t + 5*r + f for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + (sqrt(3)*3)**2 + -2.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 1507 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is (-119)\/(-4)*(-338 + 466) a multiple of 68?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8544 bigger than 8546?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert -111001000100010 (base 2) to base 16.\nAnswer: -7222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in -5, 2, -14\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 84, 106, 162, 270, 448?\nAnswer: 714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 434 - 290. What is the remainder when w is divided by 76?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*z - 2*m + m + 5 = 0, 5*m = 25 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 7\/62 + -9\/1178. Let b be (-4 - (-13)\/4)\/(1 + -4). What is the closest to x in -3\/4, -1\/3, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 4.197739 to two dps.\nAnswer: 4.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 11774?\nAnswer: 2, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 541375 and 62125.\nAnswer: 3789625","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -119672 - -119693.9902. Let u = 4.4 + 17.6. Let m = s - u. What is m rounded to 3 dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = 2 - 3*p**2 + 7*p**2 + 7*p**2 - 2*p**2. Let r be d(2). Suppose r = 8*b - 6*b. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 441 a factor of 7187066?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 228, 290, 408, 600, 884, 1278, 1800?\nAnswer: 2468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = -92*a + 281. Let i be w(3). Sort 0.08, i, 2\/7, -0.3.\nAnswer: -0.3, 0.08, 2\/7, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 254539*g - g**2 - 119561*g - 134978*g.\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -2 - -7. Suppose 0*u + 360 = 2*v + l*u, -u - 4 = 0. What are the prime factors of (-10)\/(-5)*v\/4?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 80247*u**5 - 257393*u**2 wrt u.\nAnswer: 4814820*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = i**3 + i + 1. Let s(y) = 2*y + 51. Let h be s(-22). Let b(j) = -j**3 + 7*j**2. Let p be b(h). Give o(p).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p - 8 = -2*x - 3, p - 1 = -5*x. Let j be (120\/18)\/(-5)*(p + 5). Let l(s) = -3*s**3 - 2*s**2 + 1. Let o be l(1). Put j, o, 0 in increasing order.\nAnswer: j, o, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine b, given that -3*b**4\/5 - 296526*b**3\/5 + 2669007*b**2\/5 + 593106*b = 0.\nAnswer: -98851, -1, 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 33\/(-30) - (-6278)\/4380?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 182 = -4*i - 183 + 357 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -12 + 13. Let o = 14 - 12. Put -3, o, c in descending order.\nAnswer: o, c, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 + (-25 - (1 - (0 + -4 - 5)))?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) be the second derivative of -v**3\/2 - 141*v. Let p(h) = 304*h**2 + 48*h - 48. Let m(q) = 32*q**2 + 5*q - 5. Let a(u) = -48*m(u) + 5*p(u). Give l(a(b)).\nAnswer: 48*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + h**2 + 1)*(1 - 4 + 1)*(372*h + 530*h - 38*h) + 0*h**3 - h**3 - h**3.\nAnswer: -1730*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 12 - -3. Let b be 1\/(-3)*q*-1. Let t be 1610\/(-1127)*(-28)\/10. Solve b*r - 3 = t*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -563.9001251 - -563.9. What is j rounded to five dps?\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -15624 (base 11) to base 7.\nAnswer: -121165","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5749.\nAnswer: 5749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -101 - -11?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1112 is divided by 394?\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -79 + -86. Let k = g - -193. Is -3 != k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = 7*l**2 - 2*l + 9. Let k(z) = -8*z**2 + 2*z - 10. What is -4*k(c) - 5*m(c)?\nAnswer: -3*c**2 + 2*c - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = 4*a + 9. Give d(5).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 8  (b) 0.72  (c) -1\/2  (d) 57\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (13 + -8 - 1) + (-5 - -2 - 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 34828 is divided by 17.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3*y + y + 0*y)*((-5 + 3 + 3)*(1 + 3 - 5) + 5 + 1 - 4 + 21 - 21 - 35 + (-1 + 2 + 1)*(3 - 4 - 2)) to d + k*y and give k.\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Total of -1231875882197 and 0.8.\nAnswer: -1231875882196.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 99 and 124965.\nAnswer: 1374615","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -52*i**2*l - 740*i**2 + 4*i*l - 9*i - l - 5 wrt l?\nAnswer: -52*i**2 + 4*i - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 10011 + -10015. Sort v, 0.0601, 2\/23.\nAnswer: v, 0.0601, 2\/23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of 33242 and 11362.\nAnswer: 44604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t - 3*b = -9, 0 = -2*t - t + 5*b + 17. Let o be 6\/t*10\/3. Let k(n) = -n**2 - 9*n - 6. Let i be k(-6). Solve o*j + 2 - i = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = -o - 37. Let p(f) = -2216*f - 345. Let w(q) = p(q) + 3*u(q). Differentiate w(y) wrt y.\nAnswer: -2219","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 11454\/13363*(2\/4)\/(3\/(-4)).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r = -5*c + 180 + 345, -5*c + 5*r = -565. What is the least common multiple of c and 8?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -n - 3062 = 2*u - 3070, -7*n - 39 = -13*u + 13 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from pfa. What is prob of sequence paf?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) be the first derivative of 0*c + 2\/3*c**3 + 4 + 0*c**2. Let i(o) = -3 + 3 + o**2. Determine i(v(p)).\nAnswer: 4*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1502037 - 49758991.\nAnswer: -48256954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 449943183?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2425?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from bblbbllbbl?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 24\/64 - (8738\/(-272) - -30)?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 16\/(-1 - 110\/(-40)) + -9. Which is the fourth smallest value?  (a) -0.3  (b) -5  (c) -2\/7  (d) s  (e) 0.16\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -36, -73, -120, -183, -268, -381, -528, -715?\n\"Answer: -z**3 + z**2 - 33*z - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (-174)\/9*3\/(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*t**3 - 2438*t**2 + 61924*t + 133616 = 0. What is t?\nAnswer: -2, 28, 1193","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 0 - (5 + -4) - -116. Suppose -58 - 22 = -3*i - 4*h, 5*i = -3*h + z. What is the units digit of i + (1 - 2)*2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 27\/(-42)*(-4)\/(-6).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3 - 2 + 4)*(0*t + 6*t - t) as b + c*t and give c.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -1366 + 772. Let x be -9*(3\/(-4))\/((-27)\/1128). Let m = x - c. List the prime factors of m.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 40772290 rounded to the nearest one hundred thousand?\nAnswer: 40800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 9\/5*(9 + -4). Suppose 0*a + 45 = a. Calculate the greatest common factor of a and p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -5590 by 2.\nAnswer: -2795","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 13 + -11. Suppose 5*p + 4*c + 759857 = 9059841, 0 = 4*p + g*c - 6639992. What is p rounded to the nearest 100000?\nAnswer: 1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 206540484?\nAnswer: 2, 3, 2659, 6473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5264 is divided by 151?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) be the second derivative of -a**5\/10 + a**4\/12 + 49*a - 2. Let f be n(-1). Does -23 = f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 104 and 374478?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 202, 205, 208, 211, 214, 217?\nAnswer: 220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put 29371, -1, -8, -72 in decreasing order.\nAnswer: 29371, -1, -8, -72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Express (5 - 5 - 6*y)*(-11*y**2 + 28*y**2 - 5*y**2)*(-2 - 5*y + 2) + 1 - 1 + 3*y**4 in the form d*y**4 + q*y + a*y**3 + r + t*y**2 and give d.\nAnswer: 363","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: (-7)\/1*-1 - 2\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -17880, -17219, -16558, -15897?\nAnswer: -15236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 10 - (-23 + 16 + -30 + 15)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 7500 - 7500.000005539. What is b rounded to 7 decimal places?\nAnswer: -0.0000055","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-14 + 35 - 12) + (-5 - 13)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 1182\/(-33) + (-4)\/22. Let n = -30 - w. Calculate the highest common factor of 4 and n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = m**3 + 9*m**2 - 2*m - 1. Is b(-8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8201 to the power of 1\/2, to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -1 + 1. Let k = 27 + -26. What is the nearest to l in -2, 4, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -24*q + 2888*q**2 - 1483*q**2 - 192*q - 1445*q**2.\nAnswer: -40*q**2 - 216*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = 7*q**2 + 40*q + 30. Let m be u(-5). Solve g + 0*g = -5*o + 24, -5*g + 40 = m*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 235, -5, -128, -4, -28 in increasing order.\nAnswer: -128, -28, -5, -4, 235","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = x**3 - x**2 + 4*x + 1. Calculate the remainder when n(3) is divided by 18.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = v - 4. Let w(g) = -7*g + 26. Let l(q) = 39*m(q) + 6*w(q). Let d(k) = 3*k**2. Give d(l(x)).\nAnswer: 27*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 97*m - 1890 - 3188 + 334 - 1173 for m.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 65, -2\/7, 40, 9, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:13 PM and 4:18 PM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 37\/9845888 and 145\/3408192?\nAnswer: 88612992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -182 + 163. Calculate the remainder when 66 is divided by (36\/(-19) - -2) + (-321)\/h.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 222 + 52 - 148 + 176 + 110 - 2*h to the form q + i*h and give q.\nAnswer: 412","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is -114 at most as big as -19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = -853*u**2 + 432*u**2 + 422*u**2 - 1 + 0 - u. Let v(p) = 4*p**2 - 2*p - 2. Give -2*j(k) + v(k).\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -2 - 0. Let i = 4.3 - 4.5. Which is the third smallest value?  (a) i  (b) 5  (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = 5*b**2 - 6*b + 3. Let d be 2\/(-6)*(-88 - 25\/5). Let p = d - 35. Is 7 a factor of x(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 172652 to the power of 1\/2, to the nearest integer?\nAnswer: 416","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r + 9 = -9. Let y = 5 - r. Suppose -z + 3*z + 2 = -2*q, 5*z + 14 = -2*q. Is z smaller than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z - 455 = 163. What is the tens digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*p - 5*p**3 + 2*p + (2*p**3 - 5*p**3 + p**3 - 1)*(-2 - 1 - 1) to the form x*p**3 + u*p**2 + v + l*p and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 58.6302cm in kilometers?\nAnswer: 0.000586302","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -15 - -14.9. What is the nearest to -0.1 in 2\/11, -5, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2*(-945)\/(-20)*(-8 + (-568)\/(-14))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -11*q - 10 - 7*q + 10 + 17*q.\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 6\/47 - 635\/188. Suppose 120 = 4*f - 296. Find the common denominator of (6\/f)\/((-3)\/198) and r.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 181, 184, 187, 190, 193, 196?\nAnswer: 199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 721760 and 769600.\nAnswer: 2080","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 869 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = 1 - 9 + 8 + 2*p. Let o(i) = 6*i**2. Determine w(o(k)).\nAnswer: 12*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 167590*m - 333387*m + 165821*m.\nAnswer: 24*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 50, 294, 930, 2156, 4170, 7170, 11354?\nAnswer: 16920","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 14176, 14154, 14132, 14110, 14088, 14066?\nAnswer: 14044","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*f - 4 + 29 = 0. Let w(i) = i**3 - 5*i**2 - i - 7. Determine w(f).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 956*g + 2\/7*g**2 + 799694 = 0. Calculate g.\nAnswer: -1673","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1246 = -5*z - 346. Suppose 5*o = 10*o + z. Let d = -24 - o. What are the prime factors of d?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = -q. Let c be m(8). Calculate the common denominator of -81\/2 and 148\/(-6) + c\/(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**(2\/3)\/d**(-11))\/(((d*d*d**1)\/d)\/d*d*d*d)**(-34) assuming d is positive.\nAnswer: d**(443\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 0*o + 0*o + 355*o**2 - 1233 - 1506*o**2 - 511 wrt o?\nAnswer: -2302*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4 + 1 + (4 + sqrt(468) + -2 + sqrt(468) + -1 + sqrt(468) - -5*(sqrt(468) + (sqrt(468)*-2*6 - sqrt(468)))))**2.\nAnswer: 1368*sqrt(13) + 1520536","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = p**3 - p**2 - 2*p - 1. Give b(3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 48202 + -31971. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = -4*p - 29. Let a be f(-9). What is the greatest common divisor of a and 161?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of -0.0591 and 3.\nAnswer: 2.9409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 1 - 2*m**2)*(-2*m**2 - 3*m**2 + 3*m**2 + (m + 0 + 0)*(-m + 0*m + 0*m)).\nAnswer: 6*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4\/(-40)*10\/(-6).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 11\/5 + 1\/(-1). Let j = -0.362 + -190.638. Let g = -186 - j. Which is the third biggest value?  (a) -2  (b) -5  (c) r  (d) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let p be (154\/(-6))\/(15\/(-45)). Suppose 0 = 3*i - p + 11. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = -l**2 - 13*l - 2. Let t be f(-13). Calculate the remainder when 864\/(-27)*8\/t is divided by 19.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (4 - 3) + 4 + -3. Suppose -j*r = r + 3*o - 459, 0 = 4*o + 12. Differentiate -1 - 161*z**3 + 0 + r*z**3 with respect to z.\nAnswer: -15*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.4 times 1783\nAnswer: -713.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence pcpp when four letters picked without replacement from ppcpcppp?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -18 - (8 - 27) - (-2 + -1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 142786 divided by 85?\nAnswer: 142786\/85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 56 - 61. Put m, 0, 13, 5 in descending order.\nAnswer: 13, 5, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add -129864307680 and 6.\nAnswer: -129864307674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from vfv. Give prob of picking 2 v.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -120200020 (base 4) to base 9\nAnswer: -162601","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*c**3 + 3*c**3 + 2*c**5 + 2*c**5 - 4*c + 4*c + (c**3 - 2*c**5 - c**3)*(0 + 5 - 6) - c + c + 2*c**5 + (-2*c - 2 + 2)*(24*c**4 + c**4 - 5*c**4).\nAnswer: -32*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = 5*z**2 + 28*z - 14. Is f(21) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + (sqrt(816) - (sqrt(816) - (2*sqrt(816) + sqrt(816)))*5)\/((sqrt(54)\/sqrt(2))\/sqrt(9) + (sqrt(120)\/sqrt(4))\/sqrt(10)).\nAnswer: 22*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*b**5 - 40*b**4 - 35*b**3 + 430*b**2 + 780*b + 360 = 0.\nAnswer: -2, -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) be the first derivative of 52*z**3\/3 - z**2\/2 - 14*z - 32. Is c(9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 a factor of ((-2)\/(-4))\/((-12)\/(-2496))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 e and 1 j when two letters picked without replacement from {e: 4, j: 10}.\nAnswer: 40\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.1, -2\/27, -120 in descending order.\nAnswer: -2\/27, -0.1, -120","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 51 + -88. Let r = t + 42. Let g = 29 - r. Is g a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -254134 at most -254134?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (370*b + 455*b - 5 - 676*b)*(-b**4 + 4*b**4 - 2*b**4).\nAnswer: 149*b**5 - 5*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(18) - (sqrt(18) + 0 + -3)) + 1)**2 - (sqrt(18) + (sqrt(18) - (-3 + sqrt(18) + -2)**2) + ((1*sqrt(882))**2 - sqrt(18))))*5.\nAnswer: -4115 - 165*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 7164 (base 8) in base 10?\nAnswer: 3700","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange ((-3 + 1 - 1)*(w + 4 - 4) - 2*w + 4*w + 0*w)*(0 + 4 - 2)*(w + 0*w + w) to the form p*w**2 + j*w + m and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = -8*l**2 - 824*l + 5. Let o be i(-23). Calculate the greatest common factor of o and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express f**2 - 4759*f**3 + 9545*f**3 + 34 - 4774*f**3 as m*f + i*f**2 + h*f**3 + u and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 309534 is divided by 70.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 185*n**3 - 8*n + 1 wrt n.\nAnswer: 1110*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 16\/((-576)\/45)*4*4?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -21*j*p**6 - j*p**5 + j*p**3 + 7*j*p**2 - 6*j*p + 2*p**2 wrt p.\nAnswer: -2520*j*p**3 - 60*j*p**2 + 6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -30.214707 rounded to two decimal places?\nAnswer: -30.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (f**2 - 6 + 2 + 8 + 1 - 1 - f**2 + (-f + 0*f - f)*(-f - f + f) + f**2 + 1 - 1)*(-1 + 3 - 4).\nAnswer: -6*f**2 - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 30 and 638230.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -23*a + 26852 = -115909. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.4, 103\/9, 0.31, 703, 2 in decreasing order.\nAnswer: 703, 103\/9, 2, 0.31, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 5681106547 to the power of 1\/8, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -10*u**2*y**4 + u**2*y**3 + 2208*u**2*y**2 - 3*u**2*y - 8*u*y + 644*y**3 wrt y?\nAnswer: -240*u**2*y + 6*u**2 + 3864","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 4 - 3.9. Let o = -0.05446 - 6.94554. Suppose 0 = -0*a - a + 1. What is the nearest to r in a, 2\/3, o?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -21 or -255\/13?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Express (3*s - s - 21 + 0)*(3*s**2 + 3 - 3) as w*s + t*s**3 + y*s**2 + m and give y.\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/17 in -0.5, -0.4, 695.5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2*m**4*w**2 - 132435*m**2*w**3 - 2400*m*w**3 - 8*w**3 wrt m?\nAnswer: -24*m**2*w**2 - 264870*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence vvkv when four letters picked without replacement from {k: 3, v: 5}.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 2.37 and -1833?\nAnswer: -4344.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -994 + 2666 = 13*t - 3320. Is 2 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ffoss. What is prob of picking 1 o and 1 f?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v*v\/(v\/(v**(-3)\/v*v*v)))\/v**5*(v\/(v*v\/(v*v**(-1))))\/(v*v**(-3\/2)\/v) assuming v is positive.\nAnswer: v**(-11\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = 2*p**3 + 42*p**2 - 20*p + 49. What is the tens digit of i(-21)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24*i = 3972 - 3972. Put 0.1, -5\/4, -27, i in descending order.\nAnswer: 0.1, i, -5\/4, -27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-6 - -7 - -4)\/(-1 + 2). Solve 13 = n*p - 2 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 98175788 to the nearest integer?\nAnswer: 461","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 105758.\nAnswer: 2, 52879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -192 + 209. What is the lowest common multiple of 187 and g?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3180775*q**2 - 3180775*q**2 - 6*q**3.\nAnswer: -6*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + 0 + (sqrt(35)\/sqrt(5))**2 + 4 - -4*4*(sqrt(567) - (sqrt(567) + -2))) + 0.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*u**4 - 2313*u**3 - 6831*u**2 = 0. Calculate u.\nAnswer: -759\/4, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -24*f - 25 = 599. List the prime factors of (-3 - 15518\/f) + (-8)\/(-52).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1286 + -705. Suppose -11 = -b + 1. Suppose b*q = 3221 - i. List the prime factors of q.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*g + 4*b + 5993 = 0, -b + 1608 - 404 = g. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 782 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: b\"What is the sth term of 146, 530, 1162, 2042?\n\"Answer: 124*s**2 + 12*s + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 18475*w**4 - 3*w**2 - 11751995*w.\nAnswer: 221700*w**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(171) + -1 + (sqrt(19) + sqrt(95)\/sqrt(5))*-6 + sqrt(19))**2 - ((-4 + sqrt(19)*1 - sqrt(19)) + sqrt(171)\/sqrt(36) + 4)**2.\nAnswer: 16*sqrt(19) + 4849\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = -1799997*y + 18. Suppose -10 = 2*n + 2. Let l be s(n). Round l to the nearest 1000000.\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {f: 1, m: 1, z: 1, k: 1, l: 3}. What is prob of picking 1 m and 2 l?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from jpjpjjjjjjjpjjjpjpjj. What is prob of sequence jj?\nAnswer: 21\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 101*b - 2828 = -3333 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1\/4 or -843?\nAnswer: -843","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = a + 1 - 6. Solve -3*r + u + 11 + 2 = 0, a*u + 20 = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = a**3 + 2*a**2 - 2*a - 3. Let s be 14\/(-6) - 5\/(-15). What is g(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4763?\nAnswer: 11, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is -120 not equal to -139337\/1151?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 3 in -3\/4, 0.3667, 1.3?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -j + x + x - 5, 3*j - 4*x = -11. Let f be 2 + -1 - (-3 - j). What is the units digit of 4 + (-1)\/1 + f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -4, 498, 1314, 2444?\n\"Answer: 157*s**2 + 31*s - 192","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence gyy when three letters picked without replacement from {y: 2, g: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -27\/11108 and -23\/24993.\nAnswer: 99972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**(2\/35)\/(j\/(j\/(j\/(((j*j**(2\/3)*j)\/j)\/j*j)))))**(-48) assuming j is positive.\nAnswer: j**(-1216\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.4 - 18.6. Let p = k + 19.0000051. Round p to six dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = -5*z - 22. Let r(i) = -2*i - 12. Give 4*g(q) - 9*r(q).\nAnswer: -2*q + 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Divide 11 by -708.\nAnswer: -11\/708","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15 = -4*h + 103. Let l(j) = 3 - 6 - 6 + 7*j. Let d be l(6). What is the greatest common factor of d and h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4238470 divided by -2119235?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -0.1  (b) 1  (c) -1  (d) 11  (e) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 42, -2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 27 a factor of 850852?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = -20*h + 18. Let z(x) = x - 1. Let i(p) = -2*t(p) - 36*z(p). Let g(k) = -2*k - 4*k + 16*k - 11*k. Calculate i(g(r)).\nAnswer: -4*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1591*x**2 - 2093*x**2 - 2127*x**2 to o*x**2 + v + m*x and give o.\nAnswer: -2629","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 246168475?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*n = 2*n. Let m(o) = -o**2 - 2*o + 595. Let c be m(-25). Let f = -68 + 73. Solve y + n*s - 4*s = 4, f*y = -2*s + c for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = p**3 + 4*p**2 + 3*p - 5. Give d(-4).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 115?  (a) 14  (b) 0.101  (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -116 - -149. Let b = x + 120. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*f + 2155 + 1025 = 0. Let n = f + 6992\/11. What is the common denominator of n and 49\/26?\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 2  (b) -2\/8483  (c) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -3502641, -7005283, -10507925, -14010567, -17513209?\n\"Answer: -3502642*c + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*s - 9*s - 7*s - 17*s + 30*s.\nAnswer: -8*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 3\/(-15) - (-414)\/(-5). Let u = v - -84. Solve -u = -l, -z + 5*l = 3*z - 15 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m**(4\/5)*m**(-2\/29)*m)\/(m*m*m\/(m\/((m**8*m*m)\/m)))**0 assuming m is positive.\nAnswer: m**(251\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (4 - 0)*91\/52. Suppose -2*p = 1 - k. Suppose 12 = v + p*v. Solve -2*f = -v*f - 4 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*m**5 + 2*m**5 - 3*m**5)*(-112 - 808 - 37) - m**3 + 2*m**5 + m**3.\nAnswer: -955*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (4 - 5 + 4)*(6 + 1 + 3)*(1 - 5 + 1)*(-5*r - 5*r + 5*r) to the form x + s*r and give s.\nAnswer: 450","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7725913?\nAnswer: 13, 19, 31, 1009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 7737 to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 840\/(-540)*((-1)\/(-3)*-3)\/7?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -96496 = -0*d + 5*d + j, 96484 = -5*d - 4*j. Round d to the nearest 10000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = -5*k - 4. Let h(t) = -9*t - 7. Determine -6*h(z) + 11*l(z).\nAnswer: -z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 43803 to the power of 1\/4, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 4788 a multiple of 63?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is (4 - 6) + -3 + (9 - -3) + -11 - -12?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5 + (2 - -143) + 0 is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*k + 300 = -0*k. Suppose 3*v - h + 65 = -2*h, -4*v - 3*h - 80 = 0. Let b = k + v. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*f + 32*f**2 + 3*f - 4*f**2.\nAnswer: 28*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v = -4*z + 28, 0*z + 4*v + 12 = -4*z. Suppose 2*d - 22 = 5*q + 1, 5*d - 26 = z*q. What is the remainder when 12 is divided by d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1183, 1968, 2387, 2440?\nAnswer: 2127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 1721 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -0.5  (b) 0.4  (c) -14.2  (d) -1\/4  (e) -64  (f) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 38 - -34. Suppose -93 = -5*m + w. What is the units digit of m\/4 + 12\/16?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 10\/4 - 8\/(-256)*-16. Let s(n) be the third derivative of 0*n + 0 - 7*n**g - 5\/24*n**4 + 0*n**3. Let r(v) = -v**2. Calculate s(r(q)).\nAnswer: 5*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k - 42*b + 39*b + 2 = 0, -4*k - 6 = -b. Which is smaller: k or -10\/449?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-10 + 54\/3)*(-2)\/88?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -0.3  (b) -0.2  (c) 1.18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 10 + (-1 - 8) - (2 - -5)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -32855a4 (base 11) in base 5?\nAnswer: -2433330122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, -1\/3, 4, 3.38 in descending order.\nAnswer: 4, 3.38, -1\/3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l + 4 + 1 = -3*y, -y = -l + 5. Let r(o) = o**2 + 2*o - 7. Calculate the remainder when r(-7) is divided by l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*y**5 - 3*y**5 + 3*y**5 + (1 - 1 + y)*(-5*y**2 + 5*y**2 - 3*y**4) + 3*y**5 - 4*y**5 + 3*y**5 + 643*y**5 - 1074*y**5 - 669*y**5.\nAnswer: -1098*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 424230 times 5\nAnswer: 2121150","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3*z**3 + 130 + 2*z**2 - 130 - 3*z to r*z**2 + j + o*z**3 + a*z and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is (174\/522 - (38\/(-57))\/(1\/6))\/(-1)?\nAnswer: -13\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -0.64, 0, 14\/291, 3\/2, -1, 0.3?\nAnswer: 14\/291","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -3 - -5. Let k = 21 - 8. What is the lowest common multiple of k and a?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 100053.\nAnswer: 3, 11117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = -102*j**4 + 135*j**2 + 2*j. Let l(x) = -408*x**4 + 540*x**2 + 9*x. Let y(h) = 2*l(h) - 9*v(h). Find the third derivative of y(w) wrt w.\nAnswer: 2448*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -99150 - -99148. Let v be ((-66)\/4)\/3 + 2. Which is the second biggest value?  (a) 3  (b) k  (c) 0.2  (d) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*q - 4*r = 51 + 9, 42 = 2*q + 2*r. Suppose i + f + 4 = q, i + 4*f - 18 = 0. Solve -3*a + i = -a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 20*d + 11*d + 13*d = 20 - 1956 for d.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = 6*d. Let i(u) = u**3 + 24*u**2 + 27*u + 94. Let p be i(-23). Let j(o) = 30*o**2 - 18*o**p + 11*o**2. Give t(j(h)).\nAnswer: 138*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = -3*r**2 - 18*r + 10. Calculate s(7).\nAnswer: -263","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -0.02, 1\/4, -2\/57, 0, 547, 19?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = -w**2 - 103*w - 297. Let a be j(-3). What is the fifth biggest value in a, -1\/10, 3\/5, -4\/5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*k - 7*k + 1271 = -1282. List the prime factors of k.\nAnswer: 3, 23, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3094661 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/10 of a centimeter in millimeters?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) be the first derivative of 2*c**3\/3 + c**2 + c + 2. Let o = 5 - 7. Give s(o).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -354 divided by 59?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*h = -12*h - 25. Let b be (-14 - h)*2\/3. Which is bigger: -5 or b?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1878.68835 nanoseconds in weeks?\nAnswer: 0.000000000003106296875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -8, -13, -16, -17, -16, -13, -8?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = -y - 20. Give c(-17).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 19 + -63. Let w = -47 - l. What is the closest to -1 in -1, w, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*g - 38 + 478 = 0. Suppose -4*d + 214 = -134. Is d at most g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1 times -0.4\nAnswer: -0.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1\/(((-405)\/(-81))\/(35\/(-7))).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 52 + -9. What is the remainder when 169 is divided by s?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from aarbarr. Give prob of sequence rrr.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*u - 3*u + 0*u)*(0 - 4 + 2 + (1 + 0 - 2)*(4 - 1 - 1) + 14 + 6 - 18).\nAnswer: -4*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*i - 31 = 2*j, -8*i - 45 = 5*j + 10 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 13*m - 4099787 + 4099787.\nAnswer: 13*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 760410 and 112.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = -1029*m**2 + 42*m + 42. Let w(z) be the third derivative of 121*z**5\/60 - 5*z**4\/24 - 5*z**3\/6 + 8694*z**2. What is -5*n(a) - 42*w(a)?\nAnswer: 63*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -0.031, -5, -5.14, -3, -44?\nAnswer: -0.031","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -10 + 9.5. Let h = y - -0.4993. What is h rounded to four dps?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 52442623 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0003443122 to seven dps.\nAnswer: 0.0003443","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -w + 54 - 23. Suppose w = 5*n + 4*h - h, -4*n + 3*h = -41. Solve 4*y - 12 = n for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2352233327 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = -14*i**3 - 18*i**2 - 3*i. Let u(d) = 5*d**3 + 6*d**2 + d. Let z(f) = -4*k(f) - 11*u(f). Suppose -4*a + 4*j - 46 = a, -4*a - 4*j = 8. Determine z(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 90 minutes before 7:45 PM?\nAnswer: 6:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 1185311\/12 - 98681. Let l = a - 95. What is the common denominator of l and 77\/2?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -63 + 86 - 114 - -51.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z\/(z*(z**(-10)*z)\/z*z*z*z)*z**(-8))\/((z\/((z*z**(2\/11)\/z)\/z))\/z**(-3)) assuming z is positive.\nAnswer: z**(-64\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is (-8)\/3000*3381 - -7 - -2?\nAnswer: -2\/125","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2923957760 a multiple of 128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -225 + 143. Let w = 90 + x. Let u(g) = -g**3 - 6 - 7*g + 9*g**2 - 4 + 2. Determine u(w).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be ((-21 - -42)\/21 - 0\/(-1) - 5)*-52. Factor -100\/13*a**2 + 88*a + 2\/13*a**3 + m.\nAnswer: 2*(a - 26)**2*(a + 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -81030139*o**3*v - 4*o**3 - 7058365*o**2 with respect to v.\nAnswer: -81030139*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-48)\/(-25)*13\/((-78)\/(-80)). Let x = 906\/35 - y. Which is the biggest value?  (a) -1\/4  (b) 2  (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 7249?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1001011011100001010 (base 2) to base 5.\nAnswer: -34342002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-5)\/(-25)*5\/(-3))\/(-2)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 2, -2\/19, 0.5, -0.1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -1.8 - 0.2. Let i be (-15)\/(-12) - 42\/24. Let g(p) = -p + 3. Let k be g(7). Which is the fourth smallest value?  (a) i  (b) y  (c) k  (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 12607?\nAnswer: 7, 1801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((5*sqrt(130)*-1*6)\/((sqrt(1440) + -3*sqrt(1440))*3))**2.\nAnswer: 325\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = -1814*x + 17581. Let r(h) = 2*h. Determine d(r(y)).\nAnswer: -3628*y + 17581","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 47501?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = m. Let n(k) = -5*k**2 + 9*k. What is -2*n(o) + 18*x(o)?\nAnswer: 10*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p be -4*(1*12\/(-8))\/(-1). Let v = -32 - -29. Sort v, 3, -2, p.\nAnswer: p, v, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 99681221?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2557*o - 49*o - 1423*o + 1875*o**3 + 1254*o**3 wrt o.\nAnswer: 18774*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = 4*k - 1 + 6 - 3*k. Suppose -5*q - 23 = -r, -4*r = -q + 6 - 22. Let x = 0 - q. Give v(x).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of 1 and 1250430.2.\nAnswer: 1250431.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(275) - 5*(4 + sqrt(275)).\nAnswer: -20*sqrt(11) - 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 419704841 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 180774.\nAnswer: 2, 3, 11, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2 - 2 + 5)*(4*n**2 - 4*n**2 - n**2)*(-288 - n + 237 - n) to i*n**2 + m*n + l*n**3 + s and give i.\nAnswer: 255","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -4387 divided by 272274?\nAnswer: -4387\/272274","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*k - 762 + 651 for k.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = h**3 + 7*h**2 - 10*h - 7. Let t be 2*(-21)\/7*(-8)\/(-6). Determine l(t).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 10580 - 8820. Calculate the highest common factor of a and 256.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 3643, 7180, 10611, 13936?\nAnswer: 17155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*m + 2*s = -s - 12, -s = -1. Suppose m = o - 0. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = -2*b. Let v(w) = -135530779*w**2. Give v(u(x)).\nAnswer: -542123116*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 552188 and 14356888.\nAnswer: 14356888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 92390008 a multiple of 83?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -23\/18018 and 101\/4069065.\nAnswer: 24414390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 131162 is divided by 30.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = -u**3 + 4*u**2 + u - 2. Suppose -b - 25 = -5*b - 3*w, -5*w = -15. Suppose 3*t = b*k + 12, 3*t - 4 = 2*t - 3*k. Determine d(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = 2*h**2 + 84*h + 493. Give s(-35).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = -335*v + 179. What is the units digit of r(-13)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 2*((-14)\/(-4) - 2). Find the second derivative of -8*d - d**5 + 6*d - q*d + 6 + 7*d**3 wrt d.\nAnswer: -20*d**3 + 42*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2416 (base 12) to base 10.\nAnswer: 4050","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 47.7 + -59. Let g = 11 + u. Which is the smallest value?  (a) -2  (b) g  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = -10*z + 193. Let s be r(16). Calculate the greatest common divisor of 3 and s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*m - 19 - 26. Let l = -32089 + 32089. Sort 1, 2, m, l in increasing order.\nAnswer: l, 1, 2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (1 + 3\/3)\/2. Let i be ((-4)\/16)\/(t\/(-4)). Solve 7 = -3*o + i for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -84b0 + -9?\nAnswer: -84b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((l**(-4)\/l)\/l)**33)**20 assuming l is positive.\nAnswer: l**(-3960)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = 13*j**2 - 126*j + 36. Calculate r(11).\nAnswer: 223","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -187.21 + 186. Let v = -1.21171 - o. Round v to three decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = -3*q**2 + 28*q - 51. Determine b(13).\nAnswer: -194","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (6 - (6 - (-77)\/(-140))) + (-36)\/48.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 23 - 16. Let t be ((-4)\/6)\/(g\/(-3)). Do t and 0 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-3)\/4*(-172)\/129. Let r be 1*(-6)\/(q*-36). Determine d, given that 1\/6*d**2 + 0 - r*d**4 - 1\/3*d + 1\/3*d**3 = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 825 and 82170.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 39 and 75?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from vhvvk. Give prob of picking 1 k and 3 v.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2726*h**3*l**2 + 6*h**3*l + 2*h**3 + 4*h**2*l + 20*h*l**2 + 309 wrt h.\nAnswer: 16356*l**2 + 36*l + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 783434.6 millimeters in centimeters?\nAnswer: 78343.46","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -4 + 4.052. Let j = -0.152 + y. What is the nearest to j in -1, 0.3, -4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.344 + 0.656. Which is the closest to t?  (a) 1\/6  (b) 6  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -59\/346764 and -163\/3330.\nAnswer: 5201460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 20626*s + 4*s**2 - 20626*s.\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.09*20.6.\nAnswer: -1.854","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) be the second derivative of j**3\/6 + 7*j**2\/2 + 3*j - 19. Let x(h) = h**3 - 5*h**2 + 2*h + 3. Let z be x(4). What is y(z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 99808631?\nAnswer: 13, 7677587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 15232 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*b = 20502*t - 20509*t + 3, -8*b + 38 = 2*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 79\/75324440 and 143\/3516.\nAnswer: 225973320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -12 + -6802042724.\nAnswer: -6802042736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4\/(-32)*16\/2*(-5)\/1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1848905.\nAnswer: 5, 53, 6977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3 + 2*(1 + sqrt(252)))**2.\nAnswer: -24*sqrt(7) + 1009","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 2414210 and 20?\nAnswer: 4828420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 73, 400, 989, 1840?\n\"Answer: 131*n**2 - 66*n + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(24)\/sqrt(4)*-5)\/(2*sqrt(18) - sqrt(2)).\nAnswer: -sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -19 = -2*p + 3*j, 0*j = -5*p - 4*j - 10. Suppose f - 6 = -4*k + 16, 0 = -5*f + p*k. Solve -f*r + 3*r = 4*q - 20, 25 = 3*r + 5*q for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o - 9 = 8*d - 3*d, 5*o - d - 37 = 0. Suppose 6*v = -o*v + 784. Calculate the greatest common factor of v and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 24\/2*(-87)\/216*6\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*k + 51 = -5*m, -k - 3*m = -1492 + 1510 for k.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -32, -52, -86, -134, -196, -272?\n\"Answer: -7*g**2 + g - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 266325 + 28675. Round s to the nearest 10000.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -36 + 32. Which is the nearest to -6?  (a) -0.2  (b) -5\/3  (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, 423, 13607 in decreasing order.\nAnswer: 13607, 423, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 2212000 (base 3) to base 9\nAnswer: 2760","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 442?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = -689*s - 56. Let y be u(-12). Suppose -64197 = -5*a - y. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1\/((-56)\/63)*(-2)\/12*2.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide 47649 by 79.\nAnswer: 47649\/79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Put -1\/4, -2430, 284, 0.5 in ascending order.\nAnswer: -2430, -1\/4, 0.5, 284","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is (-154)\/33*12\/(-7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 15 + -12. Find the third derivative of -7*d**2 + 18*d**3 - 16*d**3 - 69*d**z wrt d.\nAnswer: -402","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 divided by -22002911?\nAnswer: 3\/22002911","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) be the second derivative of g**3\/3 - 8*g. Let w(s) = -14*s**2. Determine z(w(h)).\nAnswer: -28*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 5+-1025.1\nAnswer: -1020.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -23 + 2*p + 23.\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = -s**3 - 10*s**2 - 9*s + 4. Give k(-9).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 15 - 10. Suppose -3*k = p*y - 0*y - 96, -3*k = y - 96. Suppose k = 2*r + 4*l - 0*l, -r - 4*l = -6. What is the highest common divisor of r and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 3\/(-12)*(516\/126 - (-30)\/(-315)). Which is the second biggest value?  (a) w  (b) 5  (c) -12  (d) 47\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -b + 22*v - 1378 + 1353 = 0, 4*v = 2*b - 30 for b.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -6 + 13 + (-1 + 0 - 1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 23 is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 453*o**2 - 226*o**2 - 225*o**2.\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = 3*l - 195. Suppose -12 - l = -2*o. Is 13 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w - 2 = -0*w - 3*j, 2*w + j = -1. Calculate the common denominator of ((-73)\/(-3))\/((-6)\/9) and w + 1 + 770\/40.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (2\/4)\/(15\/(-50))*-3. Let c(b) = 185 + d*b - b - 176. Let k(a) = -a - 3. Give -2*c(l) - 7*k(l).\nAnswer: -l + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t + t + 12 = 0. Let n(j) = 2*j**2 - 8*j + 16. Calculate the lowest common multiple of t and n(2).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -5 - -5. Let s = 91105\/6 - 14891. Let v = 293 - s. Sort u, -5, 3\/7, v in increasing order.\nAnswer: -5, v, u, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 33277 (base 13) to base 4\nAnswer: 112220212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) be the third derivative of -3*p**8\/112 - p**4\/8 - p**2. Find the second derivative of h(m) wrt m.\nAnswer: -180*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9872411933 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 293 minutes before 12:04 AM?\nAnswer: 7:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 r and 2 o when three letters picked without replacement from prpprrropppprorrppp.\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"}
{"text":"Question: Divide 167 by -43.\nAnswer: -167\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.8589 to 0 decimal places.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 346, 562, 922, 1426, 2074, 2866, 3802?\n\"Answer: 72*y**2 + 274","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 100\/(-30)*(-9)\/6.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:36 AM and 1:37 PM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -1466816*c*s - 1919767*s with respect to c.\nAnswer: -1466816*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 1  (b) 45  (c) 1\/2  (d) 49  (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -19457 = -863*z - 166*z + 38*z + 33066 for z.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = -f - 6. Let b be y(-8). Let x be -10 + 13 - (-1 + 3). Suppose b*j - 4*t - 11 = -3*t, t - x = 0. Solve -k = -5*v + 23, -3*v - 3 = 3*k - j for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 33 + 38 - 3*w**3 + 5*w**3.\nAnswer: 2*w**3 + 71","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*n**2\/5 + 56615472*n + 1001659896807120.\nAnswer: 4*(n + 35384670)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -82*a**2 - a - 7 + 83*a**2 + 2*a to z*a + p*a**2 + d and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Factor 1\/5*r**4 + 0*r**2 - 1\/5*r**3 + 0*r + 0.\nAnswer: r**3*(r - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -43 + 86. Suppose -r = -1 - 0. What is the remainder when q is divided by (r\/(-3))\/(19\/(-855))?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*z = -3*m + 20, m = 2*z + 2 + 6 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1000010010011110011001010 - -1100?\nAnswer: 1000010010011110011010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 r and 1 m when three letters picked without replacement from {n: 7, r: 9, f: 2, m: 1}.\nAnswer: 12\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -70, -82, -94, -106, -118?\nAnswer: -130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 270963 and 1411.\nAnswer: 22489929","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find q, given that q**5\/6 - 161*q**4\/2 - 63205*q**3\/6 - 807071*q**2\/2 - 4778202*q + 5192352 = 0.\nAnswer: -48, -33, 1, 596","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence obxo when four letters picked without replacement from {b: 8, x: 7, p: 1, o: 2}.\nAnswer: 7\/4590","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find x, given that 2*x**4\/5 - 2*x**3\/5 - 2*x**2 - 6*x\/5 = 0.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (52 - 7 - 1)*(-37*s**2 + 13 - 13).\nAnswer: -1628*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 190936177 to the power of 1\/2, to the nearest integer?\nAnswer: 13818","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 114477229 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 447254.\nAnswer: 2, 113, 1979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = -147*u + 12. Let o(c) = -19552*c + 1598. Let n(i) = 6*o(i) - 799*v(i). Let y(b) = 4*b**2. Determine y(n(f)).\nAnswer: 79524*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-4 - (-1 + 2)) + 0 + 1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 3061947947 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let -4*k**4 + 27*k**3 + 167*k**2 + 216*k + 44 = 0. What is k?\nAnswer: -2, -1\/4, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -4, 0, -2\/9, -19 in descending order.\nAnswer: 0, -2\/9, -4, -5, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 10501533?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 911924?\nAnswer: 2, 13, 19, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -9 + 7. Let d(a) = -10*a + 11. Let g(v) = v - 1. Let b(o) = y*d(o) - 22*g(o). Let t(u) = -2*u**2. What is b(t(q))?\nAnswer: 4*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-240)\/(-90)*3\/2. What is the nearest to -0.1 in 5, -2, k?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 1, 4, -2\/7, 23, 2\/11, -517?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 27*z**4 - 186501*z + 11638580 wrt z?\nAnswer: 108*z**3 - 186501","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {r: 1, q: 3, m: 1, n: 6, y: 4}. Give prob of sequence yy.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -2322617, -4645248, -6967881, -9290516, -11613153, -13935792?\n\"Answer: -b**2 - 2322628*b + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.6, -2, -20, -3 in decreasing order.\nAnswer: 0.6, -2, -3, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3324302.\nAnswer: 2, 37, 167, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1817 is divided by 49?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*c**2\/17 - 70*c\/17 + 4 = 0. What is c?\nAnswer: 1, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (3\/2)\/((-63)\/84).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 90 divide 8378910?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 778?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (12\/16)\/((-2)\/(-8)). Suppose 5*m = -l*r + 223, 4*m + 3*r - 177 = 2*r. Let h = -24 + m. What is the remainder when 58 is divided by h?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 11 + -7. Suppose 5*h = -6*d + 3*d + 15, -3*h + 20 = x*d. Let j(c) = -c**2 + 4. Let n be j(2). Put n, d, -5 in increasing order.\nAnswer: -5, n, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*k + 3 = -k. Let w = -0.1 - 0.1. Let h = w - -0.3. Which is the third biggest value?  (a) -2\/11  (b) k  (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 196\/840 - (-10)\/(-25)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*t - 105 = -380. Solve j = 6*v - 4*v + 14, -v - t = -5*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 57540 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 943 or 932?\nAnswer: 932","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 38*i - 11213 = 165536 + 105059. What is the hundreds digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -300749, -300919, -301085, -301247, -301405, -301559, -301709?\nAnswer: -301855","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 1\/5 equal to -615080?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*g - 2*f - 5 + 3, 3*f = -6. Suppose -d - g - 13 = 0. Is (-6)\/21 - 158\/d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 580 divide 14914700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -100.16 - -100.16. What is the closest to 4\/13 in 0.1, 2\/7, -2\/15, t?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from vqoqnqvvqq. What is prob of sequence no?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-one halves of a millennium in years?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1 or -7\/17873?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 12\/1 + (-31 - -30). Let b(s) = 5*s**3 + 11. Let k(y) = 2*y**3 + 4. Suppose 0 = -2*i + 6. Let w be (-11)\/i + 1\/(-3). Calculate g*k(t) + w*b(t).\nAnswer: 2*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 54, 130, 204, 276, 346?\nAnswer: 414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 13872 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 17239838 to the power of 1\/3, to the nearest integer?\nAnswer: 258","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18*u - 20*u - 12 = 0. Let p be (4 - 1) + (-7 - u) - -1. What is the units digit of p*3\/((-27)\/(-195))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from rsyryrsyxr. Give prob of picking 1 x and 1 s.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*k**3 - k**3 + 6*k**3)*(-k**2 + 2*k**2 - 5*k**2) + (2*k**2 - 3*k**2 - 2*k**2)*(k**3 - k**3 + 2*k**3).\nAnswer: -38*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 12*f**2 - 10 + 12 + 18*f**2 + 17*f**2 - f**2.\nAnswer: 46*f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) = 18*b - 569. Let x be n(46). Calculate the greatest common divisor of x and 148.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*r**2 - 4*r**4 + 3*r**2)*(-9*r - 71*r + 0*r) - 5 + 5 + 7*r**5.\nAnswer: 327*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 10883042881 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 885*x = 883*x - 5*k - 24, 18 = x - 5*k for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = 7*n**3 - 8*n**2 - 8. Suppose 0 = 6*f - 4*f + 10. Let x(g) = -g**3 + g**2 + 1. What is f*w(b) - 40*x(b)?\nAnswer: 5*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort -6, 4, 1, -2478, -5.\nAnswer: -2478, -6, -5, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 10500 and 700?\nAnswer: 10500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 238704?\nAnswer: 2, 3, 4973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 f and 3 y when four letters picked without replacement from {y: 17, f: 1}?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -10540*f - 25*f**2 - 45942 + 45942 + 23*f**2 to the form w*f**2 + z*f + i and give z.\nAnswer: -10540","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 a and 1 v when two letters picked without replacement from vaauuuuvuygagavkgu?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) be the second derivative of c**3\/3 - 17*c**2\/2 - 49*c. What is the least common multiple of 69 and p(10)?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -1513 - -1506. Let o(i) = 398*i**3 - 392*i**3 + 1 + 6. Let k(n) = 3*n**3 + 3. Calculate t*k(j) + 3*o(j).\nAnswer: -3*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 7\/3?  (a) 2\/7  (b) -2  (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = 21*i + i**2 - 1 + 4*i + 5 - 8*i. Let y be p(-17). Solve -32 = y*h + 4*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((t**(3\/14)*t)\/t)\/t**(-7))**(10\/9) assuming t is positive.\nAnswer: t**(505\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = 11*a**3 - a**2 - 14*a + 27. Let n be r(2). Solve 0 = -86*o + n*o + 3 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -140.79 rounded to the nearest 100?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 25 - (-22 - -6) - (10 + 0) - 6\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1 or 362\/1199?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x - 2*u - 6 = 0, 6 = 3*x - 0*x - 2*u. Let h(o) be the second derivative of 0*o**2 + 1\/9*o**4 + 1\/30*o**5 + 1\/9*o**3 + 6*o + x. Factor h(v).\nAnswer: 2*v*(v + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1262, -2523, -3784?\nAnswer: -5045","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {p: 1, n: 1, v: 2, w: 1}. Give prob of picking 1 w and 1 p.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Add together -1.26 and 11.\nAnswer: 9.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l + 90 = l. Suppose 0 = -4*z + 2*z + 4*k + l, -k = 2*z - 5. Let f(o) be the first derivative of o**3\/3 - 5*o**2\/2 - 6*o - 2. Determine f(z).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -24 + 17 + 2*q - 42 - 72.\nAnswer: 2*q - 121","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -3664573 (base 9) to base 7\nAnswer: -22632513","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 7, 34\/11, -0.02, 0?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 209913 to the nearest integer?\nAnswer: 458","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -127567*d**3*g + 2*d**2*g + d**2 + 30*d*g + 37*g wrt d.\nAnswer: -765402*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 48 is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3196192?\nAnswer: 2, 99881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -85, -145, -205, -265?\nAnswer: -325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -v + 3 = -3*t, 49*v = 12*t + 44*v + 24 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -1 - 5\/(-4 - -9)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*f + 13051 = 6731. What is the highest common divisor of 304 and f?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = 4*p. Let y be l(-1). Let z be -8 - (-4)\/(4 - 0). Let b = z + 4. What is the second smallest value in b, y, -1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 46347211 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand -i**2 + 5*i**2 - 2*i**2 + (-1 + 1 - i)*(7*i - 29*i - 21*i) - 1 + i**2 + 1 + (2*i - 1 + 1)*(-2*i + 2 - 2).\nAnswer: 42*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 2\/(-8) - 1*0\/(-1). Let v = -41\/6 + 19\/3. What is the nearest to p in 1\/2, v, 4\/5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = -o**2 - o. Let n(f) = 10*f**2 + 8*f. Let l(r) = -n(r) - 8*z(r). Let k(c) = 36*c. Give l(k(v)).\nAnswer: -2592*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Put together -0.4 and -6076748169.\nAnswer: -6076748169.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = -45*h**2 + 88*h - 5. Let j(p) = -15*p**2 + 32*p - 2. Let n(s) = 11*j(s) - 4*u(s). Let f(k) = 150*k**2 - 21. Give 2*f(w) - 21*n(w).\nAnswer: -15*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from {x: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 109 + -105. Suppose -d*m - r + 757 + 3 = 0, 382 = 2*m + r. What are the prime factors of m?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4+9810193398\nAnswer: 9810193402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1104 - 151 - 3743 - 1569)*(3 - g - 3)*(1 - 2 + 2).\nAnswer: 4359*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1180270?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 2424 + -315161\/130. Find the common denominator of g and -47\/598.\nAnswer: 2990","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:37 PM and 7:23 AM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (16 - 21) + (34 - 4). Solve 15 = 8*z - d for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*(sqrt(720) + 1 + 1 - (((sqrt(720) - (sqrt(720) + -1)) + sqrt(720))*-4)**2) + ((-3 + (sqrt(720)*2 - sqrt(720) - sqrt(720)))*2 + -2)**2 + -2.\nAnswer: 2232*sqrt(5) + 69266","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand -178*v - 197*v + 28*v + (4 - 1 - 2)*(-1 - v + 1).\nAnswer: -348*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 10285 and 24664365?\nAnswer: 935","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -38 divided by 17559\nAnswer: -38\/17559","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w - 122 = -5*a - 0*w, -w = -4. Let p = 28 - a. Solve 0 = -2*j - 2*q - p*q + 14, 2*j = 4*q + 6 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 6390?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 541?  (a) 0  (b) -0.08  (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand 1367*b**2 + 212*b**3 + 230*b**3 - 441*b**3 + (-3*b + 3*b + b**2)*(-2*b + 3*b + 2*b).\nAnswer: 4*b**3 + 1367*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3600003400?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-180)\/8)\/((-6)\/(-1))*-4.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = -10*x**3 + 2*x**2 - 31. Let n(j) = 8*j**3 - 2*j**2 + 32. Let v(z) = -7*i(z) - 6*n(z). Find the third derivative of v(g) wrt g.\nAnswer: 132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1*6\/(-21)*(-1218)\/(-696).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 208 and 7748.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 393298*w**4 + 477172.\nAnswer: 1573192*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 778013 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 3\/50 of a kilogram?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sum -15682523173 and 3856.\nAnswer: -15682519317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 4 - -1512?\nAnswer: 1516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3 - 3 + 3*n + 4*n + n - 2*n + (-4 - 1 + 3)*(-2*n - n + n).\nAnswer: 10*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.417233 rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -7 - (-9 + 13 - 13)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1047\/5 - -209. Sort 3\/41, 1, f, -1\/3 in ascending order.\nAnswer: f, -1\/3, 3\/41, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) be the third derivative of i**7\/5 + i**5\/60 - 11*i**4\/24 + 937*i**2. Find the third derivative of x(a) wrt a.\nAnswer: 1008*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find t such that -t**3 + 4965*t**2 - 6170247*t + 18466083 = 0.\nAnswer: 3, 2481","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18*o - 16529 = -437. List the prime factors of o.\nAnswer: 2, 3, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {q: 4, h: 1, i: 3}. Give prob of sequence iqqi.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -5897, -11672, -17423, -23138, -28805, -34412, -39947, -45398?\n\"Answer: 2*r**3 - 5789*r - 110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7333817 is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 234 is divided by 217?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort 52, 4, -3.\nAnswer: -3, 4, 52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -13*a - 396 + 643 for a.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) be the second derivative of 11933*c**3\/6 + 5597*c**2 + 2100*c. Find the first derivative of y(n) wrt n.\nAnswer: 11933","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 28 + -41. Let o = 14 + s. Which is the nearest to o?  (a) 3  (b) -2\/7  (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 16*j + j + 16*j as x*j + o and give x.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k - o = -0*o - 26, -5*o = -2*k + 2. What is the remainder when (636\/18)\/(4\/k) is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1137 (base 11) to base 6\nAnswer: 10524","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor -b**3\/3 - 209018*b**2\/3 + 836084*b\/3 - 278696.\nAnswer: -(b - 2)**2*(b + 209022)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 201 and 189.\nAnswer: 12663","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -2  (b) -3\/4  (c) 0.3  (d) 5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 318, 3273, 11954, 29433, 58782?\n\"Answer: 512*n**3 - 209*n**2 - 2*n + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 35002334 to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in nine tenths of a minute?\nAnswer: 54000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 369666 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -40 divided by -5\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-9)\/15)\/((-4)\/10). Let i be (-5)\/(90\/(-4)) - (-64)\/(-72). Which is the third smallest value?  (a) 1.1  (b) p  (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-28 - -12)*(-10)\/4. Is j > 40?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k + 7 + 5 = 0. Let v = 8 + k. Is v greater than 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -6 in -0.4, 0.1, -5.6, 3\/5?\nAnswer: -5.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -21 - 11021?\nAnswer: -11112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 116311, 116298, 116275, 116242, 116199, 116146, 116083?\n\"Answer: -5*g**2 + 2*g + 116314","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 64 is divided by -1 + 213\/9 + 14\/(-21)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -c**2*v**2*y**2 - 5802*c**2*v*y**2 + 12*c*v*y**2 + 209*v**2*y**2 - 2*y**2 wrt c?\nAnswer: -2*v**2*y**2 - 11604*v*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a = -0*l - l - 167, 3*a - 487 = -4*l. Let n(s) = -12*s**2 + s + 2. Let c be n(-3). Let f = a + c. Is 14 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11018280 a multiple of 420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) be the second derivative of s**3\/6 + 3*s**2\/2 - 2*s - 16. Determine l(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find c such that 15842*c**3 - 1197406*c**2 + 9403312*c - 19553816 = 0.\nAnswer: 382\/89, 67","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort -210, 0.9, -0.1 in increasing order.\nAnswer: -210, -0.1, 0.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (0 - 2)\/(4\/16). Let h = r - -11. Suppose 5*p - 13 = 4*t - 4, -h*t + 3*p - 3 = 0. What is the smallest common multiple of 4 and t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ev when two letters picked without replacement from ooovofoeovffe?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(147) + 1 + 3)**2*-2 + -4.\nAnswer: -330 - 112*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 1628 < 0.1786?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 1038.943 rounded to the nearest 100?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -121 + 89. Let s be (12\/(-16))\/(36\/l)*27. What is the greatest common factor of s and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-111)\/(-3) - (9 + -5 - 1). Let y be 4\/((-4 - 0)\/32). Let u = y + g. Solve 17 = -5*w + u*v, 3*w - 3*v = 2*w - 6 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -38 - 10 = -16*d. Is -8 smaller than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 2483.999996098 + -2484. What is w rounded to 7 decimal places?\nAnswer: -0.0000039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -22224 (base 6) to base 11.\nAnswer: -237a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -71.151 - -1064.192. Let r = n - 993. What is r rounded to 2 decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 47465613019 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-18)\/(-4) + (-2)\/(-4). Factor p**3 + 5*p**2 - t*p**4 - p - 3*p**3 + 3*p.\nAnswer: -p*(p - 1)*(p + 1)*(5*p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = 4*k + 8. Determine y(-4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**0\/a)\/(a*a**(1\/2))*(a**1)**(-2\/29)*(a**0)**(1\/3)\/((a*a**(-1\/5))\/(a*a**(-2\/7))) assuming a is positive.\nAnswer: a**(-5389\/2030)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Add together -94 and 60.22442349.\nAnswer: -33.77557651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -104 (base 7) to base 16\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 21362 or 4912?\nAnswer: 4912","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {r: 5, h: 1, k: 1, a: 10}. Give prob of sequence ha.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -72.581 and -23.\nAnswer: 1669.363","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 145753 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express -2887*m + 3017560 - 3017560 as n + d*m and give d.\nAnswer: -2887","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 41*g**2\/3 + 2834782*g\/3 + 23047 = 0.\nAnswer: -69141, -1\/41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**(-4)*l)**(-4\/11)\/(l**(6\/7)*l**(-1)\/l) assuming l is positive.\nAnswer: l**(172\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 376 minutes after 12:02 AM?\nAnswer: 6:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 222292.\nAnswer: 2, 7, 17, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 1.6  (b) -0.036  (c) -0.1  (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13 = -4*i + 19. Suppose 0 = i*h + 7 - 23. Find the third derivative of 0 - 39*p**h + 0 - 13*p**4 + 41*p**2 wrt p.\nAnswer: -312*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 145\/4 + 1\/(-4). Suppose 5*n = v - 26. Is (-19672)\/(-4)*n\/4 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) 0.06  (b) -1\/6  (c) 6.3  (d) 1  (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -11058, -11057, -11056?\n\"Answer: y - 11059","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = m**2 - 14*m - 12. Let g be i(14). Let b = -4623 - -46171\/10. Find the common denominator of ((-124)\/g)\/(22\/(-6)) and b.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = 170*t**2 - 3*t + 3. Let b(v) = v + 1. Let s be b(1). Is y(s) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 148208 divided by 3.\nAnswer: 148208\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 9087 and 312.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-84)\/56 - 3\/(2\/(8\/(-6))). Suppose 0 = 4*v + 2*t + 26, -4*v - 33 = -5*t - 0. Which is the second biggest value?  (a) -0.3  (b) v  (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m - 3 = -3*u + m, -m = -3*u + 9. Suppose -5*b = 5*r - 25, 0*r - 4*r - 4 = 0. Calculate the greatest common factor of b and u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 706 minutes after 4:40 AM?\nAnswer: 4:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Determine h so that 132*h**2\/7 - 1756*h\/7 + 5112\/7 = 0.\nAnswer: 142\/33, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand -10*s**2 - s**2 + 30*s - 3*s**2 + (s + 3*s - 5*s)*(3*s - 2*s - 2*s).\nAnswer: -13*s**2 + 30*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -96194776 divided by 11573.\nAnswer: -8312","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = m**2 - 2*m + 4. Let z be k(6). Solve 2*p - z = -5*l - 2*p, 4 = 2*l - 2*p for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4.03290091 rounded to 3 decimal places?\nAnswer: 4.033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -14049.4 + 15486. Let u = r - 1205. What is u rounded to the nearest 10?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2016 = 46*d + 27*d + 2892 for d.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -7288 times 0.14?\nAnswer: -1020.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1.2 + -0.2. Let z(l) = l**3 + 5*l**2 + 3*l - 5. Let f be z(-4). What is the third smallest value in -3, u, f?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -12606 divided by 1146\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 301 + -297.98. Let q = b + -0.02. Let x = 0.3 - -0.7. What is the third smallest value in q, -0.1, x?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -127384138, -127384126, -127384108, -127384084, -127384054?\nAnswer: -127384018","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = i**3 + 20*i**2 + 53*i + 327. Give k(-17).\nAnswer: 293","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.3 + -0.08. Let u = 0.68 + w. Put -1\/6, -8\/5, u in ascending order.\nAnswer: -8\/5, -1\/6, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qqiq when four letters picked without replacement from {q: 15, i: 4}?\nAnswer: 455\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -3 in 1, 0.2, 6?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f - 3*f = 25. Let h = -356 + 335. Let s(i) = i**3 + 21*i**2 + i + 25. Let x be s(h). Put f, x, -4, -2 in decreasing order.\nAnswer: x, -2, -4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2771 is divided by 99?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {h: 1, e: 1, c: 1, z: 1, t: 1}. Give prob of picking 1 z and 1 e.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 913875781?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -92 divided by 46\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -1270475.03 rounded to the nearest one hundred thousand?\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 19489749337 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = t**2 + t - 6. Suppose -k + 2*h = 4, -5*k + h = -2*k + 2. What is z(k)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of d*t**4 + 1876146*d*t**3 - 2641119*d wrt t?\nAnswer: 4*d*t**3 + 5628438*d*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Does 5 divide 4955?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) be the third derivative of x**5\/60 - x**2. Let u(a) be the second derivative of -7*a**4\/12 - 7*a. Calculate s(u(h)).\nAnswer: 49*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 2005, 3862, 5703, 7522, 9313, 11070, 12787, 14458?\n\"Answer: -d**3 - 2*d**2 + 1870*d + 138","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -90 + 420 = 10*w. Let g = 12 + -9. Suppose -31 = -5*x - 4*j, 2*j = g*x + x - 4. Calculate the highest common factor of x and w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*o + 24 = 2*x - 0*x, -2*o + 5*x - 12 = 0. Suppose -o*k = -5*m + 4, -3*m + 7 = -4*k + 3. Let q = -2 + 2.1. Are m and q nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 454874 and 8008.\nAnswer: 260187928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -0.9  (b) -1\/2  (c) 59\/5  (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q - 20 = -5*u, -35*u + 35 = -30*u + 4*q. What is the third derivative of -3*l**2 - 9*l**3 + 72*l + l**2 - 12*l**u - 11*l**3 wrt l?\nAnswer: -192","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 132 is divided by 14?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 445 minutes before 12:00 AM?\nAnswer: 4:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v = -s + 13, 3*s + v - 30 = -2*v. Suppose -5 = -h + s. Solve -5*u = -1 - 19, h = -4*y + 3*u for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 1354, 2580, 3806?\n\"Answer: 1226*n + 128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 675180 and 3751?\nAnswer: 675180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = 89*b**2 + 3. Let l = -7 - -18. Let h(n) = 266*n**2 + 8. Let v(s) = l*p(s) - 4*h(s). Let j(m) = m. Give j(v(y)).\nAnswer: -85*y**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -3.894 + 8.894. Which is the nearest to 12?  (a) 0.06  (b) -0.4  (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/7 in -2\/77, 4, 0.1, 6?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is (-18)\/4 - (4\/2)\/(-1)?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 0*k + 107*k**4 - 4*k**2 - 3*k - 2*k**2 - 105*k**4 + 11*k**3 wrt k.\nAnswer: 48*k + 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 21*l - 19*l + 23*l - 2*l - 10*l + 29*l.\nAnswer: 42*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 8675 and 4825?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1464 is divided by 80?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 3\/8, -1, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -9 + 2 + 4 + 3 + -5 + 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0 and 19.65.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -227339, -454673, -682007?\nAnswer: -909341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = i**3 - 8*i**2 - 8*i + 5. Give d(9).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = 5*c**3 + c**2 - c. Let l be o(2). Suppose l = 5*x - 18. Solve -d = 3*d - x for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = 56*t**4 + 2*t**3 + t**2 + 2. Let x(o) = 111*o**4 + 4*o**3 + 2*o**2 + 4. Let p(n) = 7*k(n) - 4*x(n). Find the third derivative of p(v) wrt v.\nAnswer: -1248*v - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-42)\/(-8) + (-3)\/12. Suppose z*t = -5*g + 2*t + 56, -g + t = -16. Let v(o) = 37*o**2 - 2*o - 1. What is the remainder when v(-1) is divided by g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + (sqrt(128) + -3)**2*-6 + -3 + 1.\nAnswer: -820 + 288*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 129472751 to the power of 1\/2, to the nearest integer?\nAnswer: 11379","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (178\/(-3))\/((-1)\/(-3)). Let j be (y\/(-4))\/((-3)\/54). Let g be (-6 + 9)*(j - -1). What is g rounded to the nearest one thousand?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-6)\/4*(-24)\/18. Let z be (0\/j)\/(-4)*-1. What is the closest to z in 5, -0.4, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = -7*d**2 - 2*d + 1. Let w(f) = 11*f**2 + 22*f - 25. Let k(v) = -16*v**2 - 31*v + 35. Let t(p) = 5*k(p) + 7*w(p). What is -2*s(n) + 5*t(n)?\nAnswer: -n**2 - n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 56370653 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-3 - -1) + 21\/(1\/1). Solve -5*f + 0*w + w + x = 0, -w + 13 = 3*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y - 4*y - 1 = 0. Let k(b) = 7*b**3 - 2*b**2 + b. Let u be k(y). Let n be 160\/35 + u\/14. Sort n, 4, -4.\nAnswer: -4, 4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5236 (base 9) to base 11.\nAnswer: 2981","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -3 + 1 - 57*w**3 + 24*w**3 wrt w.\nAnswer: -99*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.07 + 21.93. Let c = i + -22.000026. Let j = c + 0. Round j to 5 decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*k - 5*n + 3, 10*k - 7*k - 2*n - 1 = 0. Suppose -b + 19 = -45. Calculate the highest common divisor of k and b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*k - 2*k + 2*k**3 + (-2*k + 2*k - 2*k**2)*(0*k + k - 3*k) - 2*k**3 - k + k)*(-3*k**2 - 4*k**2 + 56*k**2).\nAnswer: 196*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 2847.35 times 2\nAnswer: 5694.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = g + 3*w - 1, 3*g + 3*w + 0*w - 33 = 0. Let m be 12\/27*3 + g\/(-15). Find r, given that -2\/15*r**3 + 8\/15*r**2 - 2\/3*r + m = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4218739937 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is -2924963 bigger than -2924964?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 - 35.3587?\nAnswer: -35.3587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -451?  (a) -1  (b) -25  (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 0\/2 - (5 - 10). Suppose -4*w + 7*w = p*x - 14, x + 5*w - 14 = 0. Find the first derivative of 6*s**2 + 3 - x*s**2 - 1 wrt s.\nAnswer: 4*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 252 divided by -26?\nAnswer: -126\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -18.2 in -1, -422, -0.3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-3)\/(-15) - (-4)\/5. What is the derivative of -2*h - 3*h + 7*h + u wrt h?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is h in 2*h**2\/15 + 112*h\/15 + 184\/3 = 0?\nAnswer: -46, -10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 17 + 2585?\nAnswer: 2602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 106459996, 106459989, 106459982, 106459975, 106459968, 106459961?\nAnswer: 106459954","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = d**3 + 19*d**2 - 3*d - 12. Let o be g(-8). Let f be (-2)\/(-5) - o\/(-10). Suppose -6*a + 3*a + f = 0. Is a a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = o + 153. Let y(c) be the third derivative of c**5\/30 - c**2 + 47*c. What is w(y(q))?\nAnswer: 2*q**2 + 153","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-8840)\/47424 - (-1)\/(-12). Which is smaller: 1 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r = 3*r + 4860. Let m be ((-4)\/(-6))\/((-6)\/r). Calculate the greatest common factor of m and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1 + 3 + (4 - (4 + -3))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1007 and 53.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 2256599 * 4\nAnswer: 9026396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -27779282*b*t**2 - 36*t**2 - 196583*t - 2 with respect to b.\nAnswer: -27779282*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -451, 3, -682 in increasing order.\nAnswer: -682, -451, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 17384707657 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -1\/16  (b) 1\/17  (c) 0.001  (d) 0.09  (e) 0.4  (f) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((-10)\/8)\/(2 + (-45)\/20). Suppose 0*j - 2*u = 3*j + 12, -h*j + 5*u - 20 = 0. Which is the second biggest value?  (a) j  (b) -1  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*d + 4*d + 3*u - 47, 5*d = -5*u + 65. What is the greatest common divisor of 24 and d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4072 is divided by 678.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {h: 1, f: 1, t: 1, v: 3, o: 1}. Give prob of sequence fht.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -71419161*d**4 - 59211071?\nAnswer: -285676644*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*h + 57 + 27 - 3*h + 13*h**2 + 12.\nAnswer: 13*h**2 - h + 96","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (357\/85)\/((-3)\/15). Let y = -13 - b. Solve -18 - 2 = -4*j - 4*m, 0 = -2*j - m + y for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*g - 5*a + 45, 5*g - 34 + 4 = -2*a. Is g a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 167 - 108. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*(sqrt(2016)*3 + sqrt(2016))\/(-5*sqrt(56)\/sqrt(7)).\nAnswer: -24*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 52\/(-8) + 3\/(-6). Let f = i - -7. Solve f*a - 2*h = -5*a - 35, 0 = -2*a + 5*h - 35 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) be the third derivative of 0*d + 0*d**3 - 2*d**2 + 0*d**6 + 0*d**5 + 5\/8*d**4 + 1\/21*d**8 + 0 + 0*d**7. Find the second derivative of o(h) wrt h.\nAnswer: 320*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2\/(1*15\/(-5)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 829.1174ug to milligrams.\nAnswer: 0.8291174","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*n**2 - 2*n**4 - 2*n**2 + (4*n + n - 3*n)*(0*n**3 - 4*n**3 + 5*n**3) + 2*n**2 - 2*n**2 + n**4 - 16*n**2 + 16*n**2 + 7*n**4.\nAnswer: 8*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -302 + -301022?\nAnswer: -301324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o + 3 = -o. Let k be -2 - -1 - (-3 - -3). Put 0, k, o in decreasing order.\nAnswer: o, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*f**2 + 5493*f + 1869924.\nAnswer: 3*(f + 452)*(f + 1379)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -5 + 5. Suppose -4*s + s + 6 = l. What is the third derivative of x**3 + x**2 - 2*x**3 + 0*x**s + 0*x**3 wrt x?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = k**2 + 2*k - 12. Determine c(-3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6 + 81*s - 37*s + 6 - 112*s**2 - 42*s.\nAnswer: -112*s**2 + 2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 1323 + -1287. Let l be 0\/(-3)*(4 - 3). Suppose l*h + 4*r = -4*h + 256, 4*r + 104 = 2*h. What is the highest common divisor of n and h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 90745355?\nAnswer: 5, 18149071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"}
{"text":"Question: Does 74 divide 46546?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 0.2, 3, 0.054, 6.6, 0.14, -1\/5, 0.3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 283 is divided by 214?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 0.3 * 162\nAnswer: 48.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 9606186 is divided by 34?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -905*x + 7 - 2 - 8 + 91*x**2 + 3 wrt x?\nAnswer: 182","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = 2*u**2 + u - 2. Let w be l(0). Let k(o) = -22*o - 20. Let t be k(w). Which is the third smallest value?  (a) 4  (b) 3  (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*h - 89490289 - 35921486 = 0. Suppose -h = 5*t + 49917645. What is t rounded to the nearest 1000000?\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -1402605\/109733 + -3\/4771. Which is smaller: n or 1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 4 + -6 - 1134\/(-573). Which is bigger: 1 or h?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 19\/4 of a milligram in micrograms?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 21571991 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 503 - 505. Let u = -77\/3 + 26. What is the closest to 1\/5 in i, -2\/5, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 85962390.\nAnswer: 2, 3, 5, 2865413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Determine x so that -4*x**5 - 44*x**4 - 92*x**3 + 44*x**2 + 96*x = 0.\nAnswer: -8, -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 4940421, 4940449, 4940495, 4940559, 4940641, 4940741, 4940859?\nAnswer: 4940995","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -8832 divided by -69?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round 13373977.39 to the nearest 1000.\nAnswer: 13374000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 358443587, 358443588, 358443589, 358443590, 358443591, 358443592?\nAnswer: 358443593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**1\/(f**(-2\/3)\/f))\/(f**1)**31*(f*f*f\/f**(-1\/5)*f*f**(-3))\/(f**(-2)\/(f\/f**(2\/11)*f)) assuming f is positive.\nAnswer: f**(-3847\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = 14486*y + 144869. Calculate b(-10).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or -5\/28?\nAnswer: -5\/28","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 45\/992 and 69\/5891984?\nAnswer: 11783968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = -1 - 8*f - 7*f + f**2 - 2*f. Let q be g(17). Let k(v) = -32*v + 2. What is the units digit of k(q)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-2)\/11 - 228\/(-44). Suppose -f*w = g - 24, 2*g - w + 3*w - 32 = 0. What are the prime factors of g?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*r + 384 = -6*r. Let m = -3 + r. Suppose 0*p - m = -5*g + 5*p, -4*p = -3*g + 32. Solve 3*l - g*l = 1 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5695 is divided by 538?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = -6*m + 36. Determine u(-16).\nAnswer: 132","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l - d - 9 = 0, -12*l - 3*d = -13*l + 15. Let f(g) = 4*g - 1. Let i be f(-2). Let h be (-44)\/(-3) + l\/i. What is the greatest common divisor of h and 70?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 6630, 53139, 179406, 425319, 830766, 1435635?\nAnswer: 2279814","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 25\/24 - -5\/24. Suppose 2*d + 16 - 8 = 0. What is the closest to 0 in 3, j, d?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 104 a factor of 272620?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = -j**2 - 6*j + 511. Suppose -2*a + 6*a = 0. Is 19 a factor of r(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*b = -5*u - 16, b - 12 = -2*b + 5*u. Suppose p - 306 = -8*p. Suppose b*n = p - 2. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-9)\/(((-69)\/161)\/(2\/7))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 21\/4 of a minute?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7 + 1 = 2*m. Let a(u) = u**2 - 4*u + 3. Let j be a(2). Let z = j - m. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 2*o**3 + 67781*o + 1705863 wrt o.\nAnswer: 6*o**2 + 67781","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 559 * -0.4\nAnswer: -223.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 493 = 108*i - 245 - 234 for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -1 + 1440?\nAnswer: 1434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -11\/7424, -0.6, 1172?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -1927, -3872, -5815, -7756, -9695, -11632?\n\"Answer: f**2 - 1948*f + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -808399*v**3 - 995745 wrt v.\nAnswer: -2425197*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -26, -196, -664, -1580, -3094, -5356, -8516?\n\"Answer: -25*b**3 + b**2 + 2*b - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) be the third derivative of m**6\/120 + 2*m**5\/15 - m**4\/3 - 5*m**3\/3 + 6*m**2 + 3. Calculate g(-9).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.05333517358 to four dps.\nAnswer: 0.0533","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v = -d - 164, 4*d - 2*d = -8. Let k = -32 - v. What is the second derivative of 10*l**3 - k*l - 5*l**3 - l**3 wrt l?\nAnswer: 24*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-5)\/(-3)*(5 + -2 + 0). Let l be 5*d\/(-50)*-8. Solve -l*o = -3*o - 1 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = s**2 + 2*s - 62. Calculate the lowest common multiple of d(7) and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2\/(-4))\/((-12)\/816*-51*(-10)\/915)?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*i - 633 - 707 = 0. Let s be (2 - (-7)\/(35\/(-20))) + i. What is the greatest common factor of 28 and s?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 119.726 days to milliseconds.\nAnswer: 10344326400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -548432, -548458, -548502, -548564, -548644, -548742, -548858?\n\"Answer: -9*z**2 + z - 548424","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 7246432 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2901439.\nAnswer: 701, 4139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = -5*s - s + 2*s - 2. Let c be t(-5). Suppose d = c - 2. Solve 3*n + d = -n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) -0.55  (b) -5  (c) -0.2  (d) -1210\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = -23*n**3 + 3*n**2 - 3*n + 4. Let c(o) = 22*o**3 - 4*o**2 + 4*o - 5. Let w(a) = 3*c(a) + 4*h(a). Find the first derivative of w(z) wrt z.\nAnswer: -78*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -4*x + 2*x + x + (2 - 2 - 2)*(-3*x - x + 2*x) + 4*x - x + 4*x + 0 + 0 - 2*x in the form j + v*x and give v.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*s**3\/3 + 42818*s**2 - 689632512*s + 67854606336 = 0. Calculate s.\nAnswer: 99, 32064","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (1\/2)\/(3\/(-18)). Let k = 9 + s. Is 12 a factor of 50\/4 + (-3)\/k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 14 + -11. Is v at most 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (6\/9)\/((-4)\/6). Let t be 4*(p - 6\/(-4)). Suppose -t*y - 3 = -1. Put 4, y, 3 in descending order.\nAnswer: 4, 3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 42187236 a multiple of 264?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = w**2 + 10*w + 9. Let c be z(-9). Let a(b) be the second derivative of b**3\/6 - 8*b**2 - 8*b. What is a(c)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {p: 2, d: 4, l: 7}. What is prob of picking 2 l and 2 p?\nAnswer: 21\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (1 - -2)*(-252)\/27. Let n = 33 - -1. Let q = x + n. Calculate the least common multiple of q and 33.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -563888 at most 44?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 divided by 105158.\nAnswer: 1\/52579","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 77217*s**4 - 151908*s**4 + 3492*s + 0*s**2 + 77361*s**4 + 0*s**2 wrt s.\nAnswer: 32040*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 4976?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -5866730 times -0.1\nAnswer: 586673","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1258 is divided by 35.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m**(1\/2)*m)**47*(m\/(m*m\/((m\/m**0)\/m)*m))**(19\/3))\/(m**9*m**(-2\/17))**(-15\/7) assuming m is positive.\nAnswer: m**(54883\/714)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 2753111 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = 4*u - 68. Calculate the least common multiple of 36 and p(18).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 1100 and 4.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 63 - 102. Let b be 16030\/(-490) + 0 + -6. Let m = a - b. Sort -3, 4, m.\nAnswer: -3, m, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 9604.148cm to nanometers.\nAnswer: 96041480000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = q**2 - 23*q - 9. Does 15 divide n(24)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1898 + -1899. Let p(g) = -g**3 + 12*g**2 - 10*g - 7. Let d be p(11). Let a be 2\/d*(-2)\/3. Sort -1\/16, z, a.\nAnswer: z, a, -1\/16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = -2*m**3 + 97*m**2 + 475*m + 150. Calculate k(53).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (39\/78)\/((-2)\/(-16))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when (-10)\/4 - 329\/(-14) is divided by 13?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -6*l**6*s**2 + 100*l**3*s**2 + 82*l**2*s - 5*l*s**2 - 2*s wrt l?\nAnswer: -720*l**3*s**2 + 600*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 15556926*m - 282935?\nAnswer: 15556926","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*v + 4*b - 104, -5*b + 98 + 42 = 4*v. Calculate the remainder when v is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.009392 rounded to 3 decimal places?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve c**2\/3 + 77593*c\/3 + 620680\/3 = 0.\nAnswer: -77585, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 1.2, 5, -5, -0.2, -10?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = -7*r**3 - r**2. Let w(z) = -5*z**3 + z**2 + 2*z + 1. Let p(v) = d(v) - w(v). What is p(-2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.163 - -105.163. Let r = 79.3 - s. What is r rounded to the nearest integer?\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 159 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (8 - -8) + -8 - (13 + 15).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -1032440 (base 5) in base 4?\nAnswer: -10113032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5359.309 minutes to seconds.\nAnswer: 321558.54","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 9\/(-6)*8\/(-6). Let j(l) = 53*l**2 - 1. Is j(i) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o + 56 = -90. Let y = o + -366\/5. Is y >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m - 1 = 0, 58 = 5*h + 3*m - m. Calculate the lowest common multiple of 520 and h.\nAnswer: 1560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -19\/15 and 19\/949560?\nAnswer: 949560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Express -93*r + 30*r + 64*r - 109*r - 100*r as a + n*r and give n.\nAnswer: -208","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:59 PM and 8:16 AM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 p and 2 t when four letters picked without replacement from otptopttpooooo.\nAnswer: 18\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort -6, 5, -70, -8, -4, 0 in descending order.\nAnswer: 5, 0, -4, -6, -8, -70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*h - 117 = 232159*x - 232135*x - 407, -3*x = h - 35 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = -19*w**2 + 5*w + 5. Let z(x) = 19*x**2 - 7*x - 6. What is -6*l(o) - 5*z(o)?\nAnswer: 19*o**2 + 5*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 43 is divided by 18?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*c = -2*o + 50, 148 = 2*c - 5*o + 193 for c.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 3b8 + 73e?\nAnswer: b07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in fifteen quarters of a kilometer?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-7227)\/(-21945) - 12\/70.\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.04 in 0.06, 3, 449?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 2103*p**4 + 11577*p + 268160390 wrt p.\nAnswer: 8412*p**3 + 11577","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4*b**3 - 2*b**3 + 5*b**3 + (-b**2 - 4*b**2 + 2*b**2)*(2*b + 2*b + 2*b).\nAnswer: -19*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (b + b + 4 - 2)*(655*b**3 + 2290*b**3 + 210*b**3 + 654*b**3).\nAnswer: 7618*b**4 + 7618*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -25 or -46816?\nAnswer: -46816","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Put 15, 58, -156 in increasing order.\nAnswer: -156, 15, 58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/4?  (a) 4  (b) 0.3  (c) -131\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -8982 - -9031. Solve -25*u + a = 24*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2*-15*(-11)\/(-66)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-g + 0*g - 3*g)*(-8061*g**2 + 8061*g**2 + 507*g**3).\nAnswer: -2028*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1406 - -38. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 906077 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1137 = 872*x - 607. Suppose -4*h = -9*h + 90. Solve -16*d = -h*d + x for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = o**3. Let k(j) = -4*j**3 - 6*j**2 + 10*j. Let p(b) = -k(b) - 5*n(b). Let l be p(4). What are the prime factors of (-7)\/4*((-24)\/6 + l)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 71 a factor of 103194524?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o = -2*y + 42, -28 = 2*o - 2*y + 54. Let w = 70 + o. Calculate the remainder when 87 is divided by w.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 0.27 from -641282.\nAnswer: -641282.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.098 and -2?\nAnswer: 0.196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = 69*l - 27. Let c be (22\/(-99))\/((-3)\/54). What is the hundreds digit of t(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/5 of a microgram in nanograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 156 and 286.\nAnswer: 1716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = -36671948*i. Let g(u) = -4*u**2. Determine g(h(c)).\nAnswer: -5379327080458816*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Determine s so that 5*s**5 - 15*s**4 - 45*s**3 + 115*s**2 - 60*s = 0.\nAnswer: -3, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert 615.2155ml to litres.\nAnswer: 0.6152155","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2*k**3*o**2 + 2*k**2*o**3 - 16*k**2 + 9*k*o**2 - 18*k - o**3 wrt k.\nAnswer: -12*k*o**2 + 4*o**3 - 32","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 4 + -177?\nAnswer: -173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (1197\/12)\/7*4. What is the tens digit of t\/2 - (-3)\/(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q - 47712 = -3*n, 5*n - 3*n = -q + 31807. Suppose -8*w = 23*w - n. Does 7 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.2*-14741\nAnswer: 2948.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 70 and 6170.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 578628600 a multiple of 264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -993769*t - 503*t**4 - 139*t**4 + 0 + 993675*t - 4 + 2 wrt t.\nAnswer: -7704*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 8 and -0.24.\nAnswer: -1.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 139997\/18 - 7783. Calculate the common denominator of q and -21\/20.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l + 0 + 4 = 0. Suppose 133 = 4*u + 4*s + 37, 0 = s - 4. Suppose -3*h + u = -l*p, -p - 7 - 7 = -3*h. Is -13\/5 less than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 5 + 1030\/(-80) - -8. Factor 1\/4 + 3\/8*k**3 - 1\/8*k**4 - n*k**2 - 3\/8*k.\nAnswer: -(k - 2)*(k - 1)**2*(k + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ypll when four letters picked without replacement from {y: 2, p: 2, l: 5}?\nAnswer: 5\/189","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 1160 + -14254?\nAnswer: -130c4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 1783 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 81881674?\nAnswer: 2, 7, 29, 41, 4919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1058?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 5 + -4. Let p(c) = c + 2. Let g be p(0). What are the prime factors of 7 - (g + i + -2)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 118 + 197*l - 95 + 135*l as j*l + k and give k.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = -412*u - 7756. Determine x(-19).\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0.287 + -1.287. What is the closest to -1\/3 in 0.2, -12\/11, j?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 16383573 a multiple of 711?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 127*a**3*b**2 - a**3*b + 2*a**3 - 3*a**2 + 284*b**2 wrt a?\nAnswer: 762*b**2 - 6*b + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*a = 6 + 12. Suppose a*k + 10 = -z, -z + 5*k - 5 = -2. Let t(f) = f**3 + 7*f**2 - 11*f - 4. Give t(z).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = c**3 - 3*c**2 - 10*c + 4. Let h be j(5). Suppose -85 = h*l - 1. Let v = l + 33. Calculate the smallest common multiple of v and 28.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -257*l + 102 = -254*l. Let z(j) = j**3 - 5*j**2 - 5*j + 3. Calculate the remainder when l is divided by z(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 464*k**3 - 914*k**2 - 418*k**3 + 916*k**2 + 64*k**4 to d*k + m*k**3 + g*k**2 + b*k**4 + o and give m.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 523 and 420087721.\nAnswer: 523","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 10 + -15. Let f(z) = -z + 1. Is f(q) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -259.679 to one dp.\nAnswer: -259.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 569\/10 - 57. Let m = -95 + 97. Which is the closest to m?  (a) 3\/5  (b) u  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-15)\/3*(-3 + 2). Suppose 5 = 5*i + 5*z, 0 = -4*i + n*z - z + 12. Which is smaller: i or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 85*f**3 + 98*f**3 + 139*f**3 - 35*f**3.\nAnswer: 287*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 77*r + 414 - 2262 = 0. Calculate the lowest common multiple of 126 and r.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4 (base 9) to base 13\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7408 = 3*l + 5*v - 20050, 5*v - 15 = 0. What is the greatest common factor of 1281 and l?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence pgp when three letters picked without replacement from {r: 1, g: 2, s: 4, k: 3, p: 2}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -18135 + 18149. Let o(s) = 29*s**2 - 7*s - 6. Calculate the remainder when o(-4) is divided by w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -12 - -31. What is the remainder when t is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 63 = -75*f + 72*f. Let z be (0 - -4)\/(-4) - f. Solve 0 = j - 5*y - 24, 5*j - 2*y = 3*y + z for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -59 + 764\/13. Let p be 264\/(-55) + 5 + (-1 - -1). Which is the smallest value?  (a) 1  (b) n  (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -63634, -127269, -190904?\nAnswer: -254539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -1960, -7234, -15828, -27748, -43000, -61590?\n\"Answer: -f**3 - 1654*f**2 - 305*f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y**(1\/3)*y*y)\/y**(-3))**(-1) assuming y is positive.\nAnswer: y**(-16\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -6  (b) -1\/7  (c) -154  (d) -1\/2  (e) 1\/4  (f) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.7 - -77.4452.\nAnswer: 78.1452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + 0 + -2*(-5 + 1*sqrt(162))*5 + -3)**2.\nAnswer: -8280*sqrt(2) + 18316","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-8)\/36 - (-16)\/(-9)) + 7. Solve 6*q - q + 5*a = -y, 2*q - a = 10 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**(-9)\/t**(-3\/2))\/(t**(-3)*t)**31 assuming t is positive.\nAnswer: t**(109\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -929, -3011, -6223, -10565, -16037, -22639, -30371?\n\"Answer: -565*n**2 - 387*n + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 2135340?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -13\/4807068 and 149\/2670.\nAnswer: 24035340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-4)\/(-6)*(-72)\/(-16). Let c(z) = z**2 - 2*z - 1. Let q be c(x). Solve -q*g + g = 1 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1976 rounded to the nearest 1000?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -7609\/11?  (a) 5  (b) 0.4  (c) -5  (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 97 + -97. Calculate the common denominator of (-7)\/(-5)*66\/21 and x*(-4)\/16 + (-23)\/5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 776169 a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 128944328, 515777308, 1160498942, 2063109230?\n\"Answer: 128944327*x**2 - x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 60 = 7*j + 5*j. What is the second derivative of 2*n**4 - 22 - 2*n - j - 9*n**3 - 2*n**3 wrt n?\nAnswer: 24*n**2 - 66*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 7 + -9 + 0 - 7.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 95\/1979966696 and -61\/20?\nAnswer: 9899833480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -2871 or -2783?\nAnswer: -2783","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = -2*w**2. Let s(m) be the first derivative of 6 - 29\/2*m**2 + 2*m. Give x(s(z)).\nAnswer: -1682*z**2 + 232*z - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + (4*(sqrt(2058) + sqrt(2058)*2 - sqrt(2058) - sqrt(2058) - sqrt(2058))*-5)\/(1*sqrt(3456)*-4 + sqrt(3456)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express (2*x - 2*x - 2*x)*(589 - 287 + 17)*(-2 + 4 - 1) + (1 + 4 - 4)*(2*x + x - 2*x) as v*x + y and give v.\nAnswer: -637","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Does 16 divide 140711?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 38\/285 + 236\/30. Suppose 0 = -i - 6 + s. Suppose 0 - 1\/3*u**i + 2\/3*u = 0. What is u?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6*u - 7*u - 5*u)*(1 - 12*u**4 - 4 + 3*u**4).\nAnswer: 54*u**5 + 18*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 10011647 or 10011646?\nAnswer: 10011646","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:28 PM and 11:03 PM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 11851300 and 744?\nAnswer: 71107800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 46*j = -1799 + 879 for j.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 226792 and 878819?\nAnswer: 7030552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 4 - (2 + -1 - -4) - 1\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = 13*b**2 - 590*b - 365. Calculate c(46).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:54 PM and 1:09 AM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 640568?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence cc when two letters picked without replacement from {u: 1, a: 1, v: 1, c: 4, r: 5}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2102.\nAnswer: 2, 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = 2*z - 10. Let o be m(5). Suppose 5*l - 22 - 18 = o. Suppose -3*y - 2894 = -r, l*y = 4*r + 3*y - 11583. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 615 + -610. What is the nearest to 4.4 in 0.1, 2\/21, h, -5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3293 + 4195 = 37*v - 453*v for v.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -9 - (12 - (-8 + 38)) - (-2 + 3 + -7)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m = 11*m. What is the second derivative of 2*g**2 + 23*g**3 - 11*g - g**3 + m*g**3 wrt g?\nAnswer: 132*g + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/27 of a day in seconds?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 + -3 - (-2 - -1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 10 + -71233656?\nAnswer: -71233646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 28 + -25. What is the highest common factor of 6 and f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 - 4 - 1)*(-92 + 92 + 14*m).\nAnswer: -14*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 5312 + 2549. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = -m + 7. Let v be d(9). Suppose 0 = w - 4*x - 16, w + 4*x + 31 = 7. Put v, w, -5 in increasing order.\nAnswer: -5, w, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2 - 9*p**2 - 9*p - 15 + 17 wrt p?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = 2*v**3 + 31*v**2 + 18*v + 54. Let h be u(-15). Calculate the greatest common factor of 15 and h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = h**3 + 9*h**2 + 9*h - 9. What are the prime factors of o(-7)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 13 - 10. Suppose -7*z = -2*z + 20, 5*x - f*z = 32. Let y(u) = 4 + x*u + 9 - 3*u. Determine y(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) be the first derivative of i**5\/15 + i**4\/4 - 2*i**3\/3 + i**2 - 1. Let z(h) be the second derivative of m(h). Factor z(a).\nAnswer: 2*(a + 2)*(2*a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*n**3 + 1640*n**2 - 39932*n - 41568.\nAnswer: 4*(n - 24)*(n + 1)*(n + 433)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*m**2 - 1877*m + 2 + 1877*m.\nAnswer: -2*m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 16\/(-20)*(-4 + -1). Solve 0 = 4*b - 6*b - p for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0*y - 2*y - y)*(-18 + 14 + 112)*(2 + 0 + 1 + 1) to s*y + v and give s.\nAnswer: -1296","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert -100023154 (base 6) to base 12.\nAnswer: -691aba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 1  (b) -2120  (c) 3052  (d) 0.5  (e) -0.8  (f) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 3\/18 - 62\/12. Let u(x) = 2*x**2 - 62*x - 5. Let m be u(31). Are o and m unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, 68, -8, -37, -2\/11 in decreasing order.\nAnswer: 68, 2, -2\/11, -8, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*n - 235 = -5*j, 5*j + n = 97 + 138. Calculate the highest common factor of j and 47.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -2 + 5*b**2 + 0 - 1 + 4 as p*b**2 + c*b + a and give p.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -38, -32, 70, 316, 754?\nAnswer: 1432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 16 + -8. Let b = n - 5. What is the third derivative of v**b + 0*v**2 + v**3 + v**2 wrt v?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 21386 and 5202.\nAnswer: 192474","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 4781 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*a + 8*a - 4*b = 56, 0 = -3*a - b + 46. What is the remainder when 398 is divided by a?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3692981309 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (12 + -12 - -11) + (10 - 11).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z = 4*f - 11253 - 5016, 0 = 2*f - 3*z - 8107. What is the greatest common divisor of f and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -145 (base 7) to base 10\nAnswer: -82","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k + 2*t = 2*k + 3, 5*k = 4*t + 3. Is 2 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -9120 - -9233. What is the remainder when 186 is divided by t?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1735?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = -n**3 - 93*n**2 + 1752*n + 270. Calculate h(-109).\nAnswer: -602","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -348*y**2 - 531721*y**3 - 3*y + y + 532115*y**3 wrt y?\nAnswer: 2364","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 0.6 + -0.4. Let t = 0.3 - 0.4. Put t, b, 2\/5 in descending order.\nAnswer: 2\/5, b, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = 2*m. Let t(u) = 324466334*u. What is d(t(b))?\nAnswer: 648932668*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9060*k - 215 = 9065*k. Which is the closest to -1?  (a) -0.3  (b) 0  (c) 0.03  (d) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 1553 + -2101324?\nAnswer: -2055331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*n - 3321 = -703. What are the prime factors of n?\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is a - -1a2769b?\nAnswer: 1a276a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 304 - 26 + 76 - 91*m**3 + 92*m**3 - 2*m.\nAnswer: m**3 - 2*m + 354","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 7315, 7311, 7303, 7291, 7275?\n\"Answer: -2*u**2 + 2*u + 7315","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 25405 is divided by 11.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -41\/84 and -79\/6000.\nAnswer: 42000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Put -14\/5, 2\/19, 2, -5\/2 in descending order.\nAnswer: 2, 2\/19, -5\/2, -14\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*p - 3*h - 32316 = -377810, p + 5*h = 69090. What is p rounded to the nearest one thousand?\nAnswer: 69000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-1)\/(-3) + (-781)\/(-33). What is the highest common factor of 12 and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.5 * -140.7.\nAnswer: -70.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 2\/9, -601, -0.4, -0.1, -1.3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 144271 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:09 PM and 3:44 PM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 7379848 divided by 1844962.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 17261 divided by 5?\nAnswer: 17261\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*s - 2*a - 2*a - 25, 5*s + 5*a - 25 = 0. Suppose 222 = s*f + 47. Suppose -3*b = -137 + f. Is 17 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) be the second derivative of -y**3\/6 + y. Suppose -2*l - 4*p = 2*l - 88, -p + 44 = 2*l. Let m(v) = -l + 5 - 2*v**2 + 43. Determine m(g(o)).\nAnswer: -2*o**2 + 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = -19889*z**2 - 167*z - 14. Let k(t) = -6630*t**2 - 48*t - 4. What is -7*k(f) + 2*u(f)?\nAnswer: 6632*f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 103*g**3 - 103*g**3 - 599 - 380*g**4 + 200 wrt g.\nAnswer: -1520*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6469 is divided by 165.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = 3*a, -4*w + w + 20 = 4*a. Let q(i) be the second derivative of 2\/27*i**3 - 1\/9*i**2 + 0 - 1\/54*i**w + i. Factor q(g).\nAnswer: -2*(g - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -j + 4*j + 4*w + 7, w = 5*j + 4. Are -2 and j nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.04 times -358?\nAnswer: 14.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 1008843796 greater than or equal to 1008843797?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 71047 less than or equal to 6323108\/89?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q**(2\/25)\/q**(-6\/11))\/((q*q**(-10\/3)\/q)\/q**(3\/2)))**(-24) assuming q is positive.\nAnswer: q**(-36028\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (2\/(-5))\/(6\/10). Let h = -247 - -226.9. Let q = h - -10.1. What is the nearest to q in -2\/11, k, 2\/5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -33 - -1.84?\nAnswer: -31.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = 273*m - 368. What is the hundreds digit of c(23)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 17 a factor of 44*1\/4*17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15*l + 17*l - 18 = 0. Solve -p = 5*v - 18, 2*v = -3*p + 2*p + l for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ywvvwvvvvawvvv. Give prob of picking 1 a, 2 w, and 1 y.\nAnswer: 3\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 - 11 = -4*x. Suppose -2*h + 15 = x*h. Let a(n) = 8*n - 10. List the prime factors of a(h).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.16 and -5.2.\nAnswer: 0.832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) be the first derivative of -v**2 - 13*v + 1. Let w be x(-9). Solve -33 = 4*y + w*l, -3*l - 4 = 11 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 16, 4, 103 in decreasing order.\nAnswer: 103, 16, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1028?  (a) 4  (b) 2\/5  (c) -0.089\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 26365, 106402, 240111, 427492, 668545?\n\"Answer: 26836*r**2 - 471*r","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -61*l = 56*l - 20*l + 776 for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is thirteen quarters of a tonne in kilograms?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 491?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -80052412*b**3 + 33099149*b**2.\nAnswer: -480314472","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(114)\/((-2*sqrt(48))\/sqrt(8) - sqrt(6)).\nAnswer: -sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 1981933 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -220 - -1?\nAnswer: -21a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 6 a factor of 322830?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x**(-2\/11)*x)\/x*x**(-2\/9)*x*((x**(1\/2)*x*x)\/x)**(5\/9))\/(x*x**(-2\/5)*x\/(x*x**(-4)*x))**19 assuming x is positive.\nAnswer: x**(-66301\/990)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -280*u + 833 - 5551 = 2562 for u.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) be the first derivative of -5*o**2 - 3*o - 1 + 1\/3*o**3. Calculate the remainder when v(15) is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in eleven halves of a kilometer?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = 2*m. Let d(o) = 21*o. Let h(f) = 2*d(f) - 22*i(f). Let z(g) = 5*g**2. Determine z(h(s)).\nAnswer: 20*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 11101001110101011000110 + 1000?\nAnswer: 11101001110101011001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = 6*g**3 + 9*g**2 - 5*g. Let z(f) = -5*f**3 - 8*f**2 + 5*f - 1. Let h(n) = -4*d(n) - 5*z(n). Suppose -l - 3*j - 32 = -21, -2*j - 9 = l. Calculate h(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -10, -2027, 3614, 4 in ascending order.\nAnswer: -2027, -10, 4, 3614","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -27*g + 31*g - 60. What is the remainder when -3*(-1 + (-40)\/3) is divided by g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00079492 to five dps.\nAnswer: -0.00079","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Does 106 divide 1702714?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 11554344943 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v + 4 = -3*a + 82, -v - 112 = -5*a. What is the remainder when 151 is divided by a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 34 and 9418?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 3 + -8d?\nAnswer: -8a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Convert 744008.5 litres to millilitres.\nAnswer: 744008500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = 32*r**2. Let l(s) = -7057*s**2. Give x(l(o)).\nAnswer: 1593639968*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 10 + -68?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 447*g - 53 + 36 + 17 to the form u + j*g and give j.\nAnswer: 447","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-y - y + 3*y)*(1 + 29*y + 3 - 28*y) to the form l*y + r*y**2 + j and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -18 - -18. Let t be ((-6)\/24*q)\/5. Which is the closest to 0?  (a) 4  (b) t  (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is fifteen quarters of a litre in millilitres?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 20671376 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = 54*x - 188. Let p(t) = 82*t - 282. Let b(n) = 7*d(n) - 5*p(n). Let k be b(3). Put 42, k, 4 in ascending order.\nAnswer: k, 4, 42","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 163\/397200 and -131\/2224320?\nAnswer: 11121600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 8 - 3. Suppose d = 3*d. Solve 3*j - 1 - p = d for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add 1304.8 and -3.\nAnswer: 1301.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.2, -3, -0.06 in decreasing order.\nAnswer: 0.2, -0.06, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 1258554 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 65\/26*5\/((-300)\/(-6))\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 339934180?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 132723879247 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = 2*b + 5. Give t(-8).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -476*k - 438 = -403*k for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 7\/108?  (a) -2\/13  (b) 1\/6  (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = -y**3 - 14*y**2 - 13*y + 9. Let j be k(-13). Is 41\/5 >= j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -8248*u**6 + 3*u**4 - 68*u**2 - 3*u**4 + 8245*u**6 - 17*u**5 - 30*u**2 wrt u.\nAnswer: -360*u**3 - 1020*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -591 + 815. What is the greatest common factor of f and 288?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000058526 to 6 decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -3194565, -6389127, -9583685, -12778239?\nAnswer: -15972789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 760 a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 309 minutes after 2:47 AM?\nAnswer: 7:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2 is divided by -3 + 0 - 0 - -5.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = -2*p**3 - 8*p**2 - 6*p. Let w(b) = b**2 + b. Suppose -4*y = -14 - 34. Suppose -4*t + 2*t - y = 0. Calculate t*w(i) - v(i).\nAnswer: 2*i**3 + 2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.1 + -23.4. Let r = w - -22.5. Which is the nearest to r?  (a) -4\/5  (b) 0.05  (c) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(99)*1 + sqrt(88)\/(1*sqrt(8)))**2 - 6*((-1 + sqrt(396))*5)**2.\nAnswer: -59374 + 1800*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ji when two letters picked without replacement from {i: 4, h: 4, j: 2, s: 5}.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Factor -11*q**3 - q**4 + 7*q**3 + 5*q**4.\nAnswer: 4*q**3*(q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.38 and -125291?\nAnswer: -47610.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Factor 11*h**3 - 19*h**3 + 80 - 17*h**2 - 19*h - 62*h + 17*h + 9*h**3.\nAnswer: (h - 20)*(h - 1)*(h + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3 - 1 - 2*a**4 + 5 - 3*a to y + p*a**4 + t*a**2 + i*a + v*a**3 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -762882 or -762884?\nAnswer: -762882","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 9351944.\nAnswer: 2, 7, 23857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 462327, 462328, 462329, 462330?\nAnswer: 462331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*p + 10 + 55 = 0. Suppose -3*l = -14 - p. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 146695182?\nAnswer: 2, 3, 24449197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 27524140 is divided by 26?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -3, -16, -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d be -2 + (-5*12\/(-80))\/((-11)\/(-924)). Solve 4*c - 3*u = 0, 64*c - 4*u = d*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ttqqttfew. Give prob of picking 1 e and 1 t.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 303592, 606633, 909674, 1212715, 1515756, 1818797?\nAnswer: 2121838","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 12 + 0. Calculate the remainder when x*6\/9 + 1 is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3073059?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = -w**2 + 10*w + 15. Suppose -2*q + 11 = -11. Let d be r(q). Are 6 and d unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in thirty-two fifths of a microgram?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 46*t - 346 + 109 = -99 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2\/((222\/(-8806))\/((12\/(-7))\/4))?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) be the first derivative of 0*t**3 + 0*t**2 + 72*t - 7\/4*t**4 - 1\/5*t**5 - 63. Find the first derivative of m(u) wrt u.\nAnswer: -4*u**3 - 21*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b\/((b**(1\/7)\/b)\/b))\/(b\/(b**(-2\/7)*b*b*b)*b))**(-3\/17) assuming b is positive.\nAnswer: b**(-75\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6228 is divided by 21.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -10*j - 2 - 4 - 5 + 10 - 52*j.\nAnswer: -62*j - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 12285?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 3\/35  (b) -4  (c) -3  (d) 0.4  (e) -0.06  (f) -3\/8  (g) 1.15\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 199 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = h**3 - h**2 + 3*h + 27. Let y be g(0). Is -5 <= y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -0.155 or 1024?\nAnswer: -0.155","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 213298263 and 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x = 3*i + 38, -2*i = x - 7*i - 2. Let h = -19 - x. Solve -b + 15 = -h*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0.16 - 17.16. Let v = 197 - 184. Let n = v + f. Which is the closest to 1\/3?  (a) -1\/2  (b) n  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 22 and 19857002?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 2944915603 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1268 and 85452739.\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -0.8 from -0.2279.\nAnswer: 0.5721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Convert 28703 (base 15) to base 7.\nAnswer: 1050336","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"}
{"text":"Question: Let z = 15 + -14.93. Let t = -1.5931 + 1.663085. Let x = t - z. What is x rounded to 6 dps?\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = 7*m**2 + 308*m + 301. Calculate r(-43).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -4 + 4760894?\nAnswer: 4760890","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round 686.9096 to the nearest 10.\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = 14*p - 39. Let n(c) = -8*c + 19. Let l(u) = 3*i(u) + 5*n(u). Give l(11).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 9794 to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Round 1330624.9 to the nearest one hundred thousand.\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 61, 59, 57, 55, 53?\n\"Answer: -2*w + 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 440 - 445. Which is the fourth smallest value?  (a) 4  (b) -180  (c) l  (d) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -6*n**4 + 3*n**4 + 2*n**4 + (44 - 92*n**3 - 44)*(-4*n + 81*n + 55*n) to the form f*n**2 + a*n + q*n**4 + g + l*n**3 and give q.\nAnswer: -12145","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 15361 is divided by 78.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*v + 4*s + 41, -7*v + v + 13*s = -5*v - 4*v - 113 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 54684 divided by -868?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -1037104897 - -888\nAnswer: -1037104009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.6 + -0.9. Let d = -103 - -103.5. What is the nearest to 2 in k, d, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find i, given that 2*i**3\/9 - 19228*i**2\/3 + 1285238*i\/3 + 3913400\/9 = 0.\nAnswer: -1, 68, 28775","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 108 - (-24 + 89 - -3)\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 75*k = 86*k - 77. What is the least common multiple of k and 258?\nAnswer: 1806","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 16, 7, -0.4, 1\/6 in increasing order.\nAnswer: -0.4, 1\/6, 7, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-70)\/7 + 1 + 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*d - n - 2*n - 17 = 0, 18 = 5*d - 2*n. Suppose -3*h - 4*r + 275996 = 0, 4 = d*r + 8. Round h to the nearest ten thousand.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 721658 to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x + 2*y = -24, -3*x - 2*y - 12 = -4*x. Solve 0 = -c + 3 - x for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 627255 to the nearest integer?\nAnswer: 792","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 364 and 114.9?\nAnswer: 249.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) be the second derivative of -d**7\/525 + d**6\/600 + d**5\/60 + d**4\/60 + 2*d**2 - 6*d. Let c(m) be the first derivative of j(m). Factor c(v).\nAnswer: -v*(v - 2)*(v + 1)*(2*v + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 9*w**3 + 4*w**2 - 7*w**3 - 4*w**2.\nAnswer: 2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 79\/28749 and -8\/1287?\nAnswer: 12333321","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.88 + -2.88. Which is the closest to -1?  (a) -5  (b) 1\/10  (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, -1, 19, 4 in descending order.\nAnswer: 19, 4, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ccf when three letters picked without replacement from yfyccyycfyf.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*h**4 - 3156*h**3 + 1749914*h**2 - 398344008*h + 31861967048.\nAnswer: 2*(h - 566)**2*(h - 223)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -728, -763, -798, -833?\n\"Answer: -35*w - 693","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d - 4*k + 3*k + 676 = 0, 5*d = 4*k + 3389. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in eleven halves of a week?\nAnswer: 55440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 3521434 (base 6) in base 4?\nAnswer: 230120332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 1, -5, 76, 0.035?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 3*q**2 - 2)*(-254 - 580 + 1374 - 166).\nAnswer: -1122*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 457 is divided by 80?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) -3  (b) 0.21  (c) 5\/4  (d) 23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 = 3*a + 5*v, 4 = -3*a - 3*v + 5*v. Let m(j) = 0 + a + 2*j. Let z(i) = -3*i. Give 5*m(y) + 4*z(y).\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 57*a - 4 + 3 - 13 - 25*a - 26*a.\nAnswer: 6*a - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 38 - ((-189 - -171) + (11 - 1) + 18)\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: (13 + -26 - -12)\/((775\/(-1350))\/(-31))\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -35\/66 and -19\/77?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-133)\/(-49) + ((-900)\/(-126))\/25. Suppose -b = -4*b + 12. Solve a - r = -b for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = 7 - 2*d - 395*d**2 + 794*d**2 - 400*d**2. What is k(-6)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q + 1 = 6, 3 = -w - q. Factor -w + 7*r**3 - 2*r**4 + 7*r**4 - r**2 - 2*r**2 - 3*r - 4*r.\nAnswer: (r - 1)*(r + 1)**2*(5*r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from kkaakaaakkka. What is prob of picking 2 k?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -290 = -7*f + 291. Calculate the remainder when f is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v*v**0\/v)**41)**(1\/5) assuming v is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 5627, 5625, 5623, 5621, 5619?\nAnswer: 5617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of f*h**2*p + 47*f*h*p**2 - 2*f + h**2*p**3 + 6580*h**2 - 136*p**3 wrt p.\nAnswer: 94*f*h + 6*h**2*p - 816*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ssxxs. Give prob of sequence sxss.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 6 + -4. Let h(r) be the first derivative of 0*r - 11 + 3*r + 7*r**2 - 3*r**2 - 5*r**l. Determine h(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2094, -4176, -6242, -8286, -10302?\nAnswer: -12284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -34.09 + 34.09. Let w be (1\/8)\/((-1)\/2). Which is smaller: w or q?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 460\/552 + (-1716)\/1800?\nAnswer: -3\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7445 + 7445 - 8*j**2 - 22349 - 12*j**2 + 7459.\nAnswer: -20*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2759 - 179934*n**3 - 2772 + 5531 + 179933*n**3.\nAnswer: -n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find i, given that 2*i**5\/3 - 110*i**4\/3 - 706*i**3\/3 - 1562*i**2\/3 - 1456*i\/3 - 488\/3 = 0.\nAnswer: -2, -1, 61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2675.\nAnswer: 5, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.2 in -3\/2, 0.5, -3, 4, 1.29?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-10)\/4*(-30)\/75. Solve -5*c = 3*p + x, -4*p + c - 6*c = 3 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = -h**3 + h**2 - h. Let x(f) = -2*f**2 + 7*f**3 - 6*f**2 - f**2 + 8*f - 4. Let g(c) = 6*v(c) + x(c). Give g(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 1232 + 3854*q - 2174*q - 1980*q - 2*q**2.\nAnswer: -2*(q - 4)*(q + 154)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -56.9125+6\nAnswer: -50.9125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 47.9 + 43\nAnswer: 90.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Put together 0.2592 and -1.\nAnswer: -0.7408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y*y**(-9)\/y*y**(-13\/4))\/(y**12*y*y\/(y*y**(-1\/16))) assuming y is positive.\nAnswer: y**(-405\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) be the third derivative of 0*v**6 + 9\/10*v**5 + 0*v**4 + 0 - 1\/105*v**7 + 76*v + 131\/6*v**3 + 2*v**2. Differentiate b(a) with respect to a.\nAnswer: -8*a**3 + 108*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 142*h - 38*h - 37*h - 37*h - 39*h.\nAnswer: -9*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q - p - 54 = 0, q = -6*p + p + 24. Calculate the highest common factor of 196 and q.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) be the third derivative of -g**7\/1050 - g**6\/600 - 4*g**2. Factor o(q).\nAnswer: -q**3*(q + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q = 5 - 1, 8 = 3*g + q. Let d = 12 + -6. Suppose -5*r + 2*r + d = -4*k, -2*r + 4 = -g*k. Solve -i = 4*u + 11, -3*u = u + r*i + 6 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 2 + 0. Let x = t - -3. Suppose 63 = x*s - 17. Calculate the remainder when s is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence cc when two letters picked without replacement from {u: 1, c: 2, y: 2, z: 1, t: 1, e: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) be the second derivative of -9*f + 4 - 1\/6*f**3 + 2*f**2. What is q(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*n + 2*r + 610, 5*n + 11*r = 6*r + 755. Calculate the least common multiple of n and 152.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = 323*m + 10. Let c be r(2). Let b = 1128 - c. Let x = b + -271. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 1496 and 3366?\nAnswer: 13464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1237 * -1.2.\nAnswer: -1484.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -6258806 or -6258842?\nAnswer: -6258842","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1 - 0. Let j be (-22)\/(4 - -7) + 6. Let g be 3*(-1)\/3*-2. Which is the smallest value?  (a) g  (b) j  (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (213 - 215) + (0 - -27) + -13.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = 11*l**3 + 7*l**2 - 2*l + 17. Let m(n) = 5*n**3 + 3*n**2 - n + 8. Let d(b) = 13*m(b) - 6*u(b). Let p be d(-3). Suppose -s - 148 = -p*s. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-6*4\/(-6))\/(-15 + 17). Let j be -14*(-15)\/(-6) + -3. Let p be j\/(-8) - (-4)\/16. Solve x + x + o*t = 6, p*x + 4*t = 10 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -11 * 5.7032\nAnswer: -62.7352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*a + 4*a - 2*a)*(-5 + 4 + 4)*(3*a**2 - 3*a**2 - a**2).\nAnswer: -6*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = -m**2 - 3*m + 3. Let a be f(-3). Let x(w) = -w**3 + 10*w**2 + 11*w + 8. Let q be x(11). Suppose -345 = -22*t + 205. Solve -a*r + q*r = t for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1891 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-8)\/72)\/((-2)\/198)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*y - 2 - 2 = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/30 of a minute in seconds?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00000038935 rounded to seven dps?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -59\/410 and 38\/46453.\nAnswer: 464530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f = -f - 42. Let t(o) = 25*o + 41. Let d(p) = -12*p - 21. Let z(i) = f*d(i) + 6*t(i). What is the tens digit of z(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = 4*p**2 + 209*p - 3285. What is the least common multiple of u(14) and 2635?\nAnswer: 13175","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 26662*k**2*q**2 + 1154*k**2*q wrt q?\nAnswer: 53324*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -1784 take away 2?\nAnswer: -1786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -0.2, 1380, -2, -1\/8, 5, -0.027, -0.5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 3381 - 1082. Is 10 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0*i**2 + 0*i - i**2 + 0*i to u*i + q + c*i**2 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 147 a factor of 196222362?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from sfzqffszqqsqtqqf. Give prob of picking 3 s.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21*f - 2*w = 22*f - 8, 5*f - 28 = -4*w. Solve 9 = -3*y + f*x - 8*x, -3*x + 3 = -y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -27*k + 13*k = 252. What is the common denominator of -14\/27 and ((-15)\/20)\/(k\/496)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is de7a (base 15) in base 5?\nAnswer: 3002030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*p + 3*v + 275, -4*p - 10*v + 13*v - 245 = 0. Let o = p + 103. Calculate the remainder when 189 is divided by o.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-10)\/12 - 939630\/(-36). Round c to the nearest one thousand.\nAnswer: 26000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1.9715 or -1852?\nAnswer: -1852","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((5*(sqrt(363) + sqrt(363) + sqrt(363) + sqrt(363) + 1))**2 - (sqrt(363) + (0 + sqrt(363))**2 + sqrt(363) + -5)) + -1.\nAnswer: 2178*sqrt(3) + 144866","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 3 (base 12) to base 6\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*sqrt(35)*2 - sqrt(105)\/sqrt(75))\/(4*sqrt(700)*-2)*-4.\nAnswer: 49*sqrt(5)\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -16048175 times 5?\nAnswer: -80240875","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 1256 and 7270?\nAnswer: 4565560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 8449 + 11545. What are the prime factors of l?\nAnswer: 2, 13, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -212*v**5 - 111065*v**3 + 54*v**2 + 260012?\nAnswer: -12720*v**2 - 666390","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (187\/(-44))\/((-2)\/16). Solve r*h + 2 = 35*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = 7*z - 45. Let d be i(7). Does 6 divide (d - -3)*((-8)\/(-28) + 4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -33 + 38. Let a = 22 - d. Find the first derivative of -724*q - 5 - a + 732*q wrt q.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 9156 + -9100. Calculate the highest common factor of u and 3712.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = -n**2 + 4*n - 4. Let q be v(6). Let k = 22 + q. Is k a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 927 + -921. Suppose -21*g + y*g = 0. Factor 1\/5*n**2 + g - 1\/5*n.\nAnswer: n*(n - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 39071?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -s + 5*s = 4*w, -w - 20 = 3*s for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 31554119 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Add -78.047 and -3.\nAnswer: -81.047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -13 - -8. Suppose -3*f - 4*l = 25, 2*f + 4*l + 0*l + 18 = 0. Suppose 0*v + 2*v + 2*b - 2 = 0, 0 = 3*v + b - 7. Sort f, x, v in descending order.\nAnswer: v, x, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u = -5*g - 26 + 6, 0 = g + 4*u + 26. Let h(y) = -62*y + 71*y + 5 - 83*y. Is h(g) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*j**2 + 75.\nAnswer: -3*(j - 5)*(j + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m - v - 75 = 0, 0 = -2*m + 2*v - 4*v - 54. Let d = m + 57. Let r be d\/(-9) - (-4)\/(-12). Which is the biggest value?  (a) r  (b) -5  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is a2 + 77?\nAnswer: 159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.87 - -0.67. Let u = 7.4 + -8. Let w = u - n. Which is the nearest to -0.1?  (a) 1  (b) w  (c) 5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -6560118 divided by 9?\nAnswer: -728902","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) be the second derivative of v**5\/110 + 2*v**4\/11 + 16*v**3\/11 + 64*v**2\/11 - 3*v. Factor o(w).\nAnswer: 2*(w + 4)**3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*y + a = -12*y + 452, y + 2*a = 106. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 2 or -123?\nAnswer: -123","meta":{"dup_signals":{},"source":"comparison__pair_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 d(j) = 13*j - 143. Let f be d(13). Let q(p) = -4*p**2 + 109*p + 24. Let w be q(f). What is the greatest common factor of w and 70?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -7.702 + -0.138. Let r = p - -81.14. Let n = r + -73.30327. Round n to 3 dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + (5*-4*sqrt(120)\/sqrt(5))\/((sqrt(64)\/sqrt(2))\/sqrt(4) - 2*(sqrt(8) + sqrt(128))).\nAnswer: 1 + 20*sqrt(3)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 106056*b + 3 - 53026*b - 3 - 53031*b.\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = -20*r - 36. Let b be l(-2). Solve -5*f - 2*q + 9 = -5, -f = -3*q + b for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -4124, -4132, -4146, -4166?\nAnswer: -4192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) be the first derivative of q**4\/10 - 26*q**3\/15 - 29*q**2\/5 - 6*q - 818. Solve g(b) = 0 for b.\nAnswer: -1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = -3*y**3 - 46*y**2 + 23*y - 22. What is the hundreds digit of f(-22)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*c - 35 = -5*d, -3*d + 68 = -2*c + 25. Suppose -4*h - d = 9. Let o(y) = -y**3 - 4*y**2 + 2*y - 7. What are the prime factors of o(h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 76\/16*-2*2. Let n be -3 + u\/(-5) + (-8)\/60. Let x = -388 + 388.4. Which is the third biggest value?  (a) x  (b) n  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) be the second derivative of -j**4\/12 + j**3\/6 + 2*j**2 - 11*j. Suppose d - 2 = 0, -4*w + 4 = -w - d. Let y(f) = 3 - 1 - 5. What is w*b(z) + 3*y(z)?\nAnswer: -2*z**2 + 2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 273 and 63.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 3547308 to the nearest integer?\nAnswer: 1883","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 292610146 = 4*b + 292610298 for b.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = -26*j - 1642. What is n(-49)?\nAnswer: -368","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express -11*m - m**4 + 13*m + 2 - m**3 + 2*m**4 - 2*m**4 as q*m + s*m**4 + u*m**3 + w*m**2 + p and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 1568 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14 = 2*v - 9*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -50, -391, -1320, -3131, -6118, -10575, -16796, -25075?\nAnswer: -35706","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*u**3 - 16*u + 16*u - 10*u**3 - 92*u**3 + 3.\nAnswer: -99*u**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -d**5 - 3556*d**3 - 10984*d**2 wrt d?\nAnswer: -60*d**2 - 21336","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 15 - (-9 + 7 - (-11 - 2))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (1*2*3)\/((-627)\/418). Sort -712, i, 1.\nAnswer: -712, i, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 87030535 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -21*o + 51 = -18*o. Suppose 14*m = o*m - 5*s + 859, -297 = m + s. Let i = -178 - m. Is i a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 733 + -733.1. Which is the nearest to 5\/4?  (a) 5  (b) p  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 59625 a multiple of 83?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = -u**3 + 24*u**2 + 29*u + 41. What is s(25)?\nAnswer: 141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 1 + 0)*(2*q - 6*q + 2*q)*(q**2 + q**2 + 0*q**2).\nAnswer: -8*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2444647\/11 or -222242?\nAnswer: -222242","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 3 - ((-88)\/2)\/1. Let c = z + -33. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 9 divide 477?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 35, 34, 21, -10, -65, -150, -271, -434?\nAnswer: -645","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -599 + 205 - 236 = -21*z. Suppose 5*k = 4*k + 6. Let w = k + 0. What is the least common multiple of z and w?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1853 - -573?\nAnswer: -1280","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 302 is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 5566, 6806, 8034, 9244, 10430, 11586, 12706, 13784?\nAnswer: 14814","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (11 + 0*l**4 - 2*l**4 - 2)*(0 - 4 + 5)*(6*l - 22*l - 12*l).\nAnswer: 56*l**5 - 252*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(52)*5)**2*-1 - (sqrt(104)\/((-1*sqrt(24))\/sqrt(3)))**2.\nAnswer: -1313","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 30\/(9\/(-4) + 2). Let z be (-24)\/j*35*1. Calculate the greatest common factor of 7 and z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*t = 2*t + 36. Suppose -6 - t = -3*o. Find the third derivative of -9*v**2 + 0*v**2 + 4*v**o - 14*v**3 wrt v.\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 7\/18 of a hour?\nAnswer: 1400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (9 - 2) + (-1 - 25) + 8?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -10*h + 57*h - 235. What are the prime factors of -218*(-1 - 7) - (h - 6)?\nAnswer: 5, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 4\/3 of a millennium?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -56\/3 - -17. Let a = 3.93 + 0.07. Let b = -16828 + 16828.3. What is the biggest value in b, a, d?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -58 + 915 + 8754 + 2037 = 91*j for j.\nAnswer: 128","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:56 AM and 3:27 PM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3875 = -29*k - 3875 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 0.67 - -19.23. Let y = -20 + b. Is y smaller than 0.07?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 17\/2 of a micrometer?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*t = -4, -1191*x + 1194*x + t + 16 = 0 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 1839184041 less than -626?\nAnswer: -1839184667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.5 - 4412671.335?\nAnswer: -4412671.835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*t**2 + 82*t**2 - 79*t**2.\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = -29*f**2 - 8 + 15*f**2 + 15*f**2 + f + 8. Let c(s) = 23*s**2 + 4*s. What is 3*a(w) - c(w)?\nAnswer: -20*w**2 - w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -12201112 (base 3) in base 16?\nAnswer: -104c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -1aa - 5?\nAnswer: -1b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**(-1\/6))**(-2\/147)\/(o\/(o\/o**1))**(-37) assuming o is positive.\nAnswer: o**(16318\/441)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -27 = 19*l + 153 + 29 for l.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 13801\/925 - 4\/(-50).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = 845*t**2 + 255*t - 7. Let z(k) = -852*k**2 - 254*k + 9. Let a(c) = -4*v(c) - 3*z(c). What is the second derivative of a(y) wrt y?\nAnswer: -1648","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) be the first derivative of -2*y**2 - 2\/3*y**3 - 2*y - 5 + 1\/4*y**4. What is the second derivative of i(q) wrt q?\nAnswer: 6*q - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 304 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (-1 - 3362\/(-8)) + 135\/180.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = -1757*t**3 - 3*t**2 - 3*t - 149. Let u(o) = 7026*o**3 + 11*o**2 + 11*o + 598. Let m(r) = -11*g(r) - 3*u(r). What is the derivative of m(d) wrt d?\nAnswer: -5253*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -104417\/1050 bigger than -100?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 418 and 95.\nAnswer: 2090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*a + p + 12 = a, 4*p = 4*a - 24. Suppose q**5 + 0*q**2 + 6*q**4 - 3*q - 7*q**2 + a*q**5 + q**2 = 0. What is q?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 25*n - 21*n - 55709988 = -3*j, -3*n - 37140009 = -2*j. Round j to the nearest 1000000.\nAnswer: 19000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = 2676*q - 1216. List the prime factors of u(3).\nAnswer: 2, 13, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*g**2 + 24760*g + 148380.\nAnswer: 5*(g + 6)*(g + 4946)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b*b**(6\/5)\/b*b*b)**(1\/8)\/((b\/(b**(-11)\/b)*b)\/b*b**(2\/21)*b*b))**(-40) assuming b is positive.\nAnswer: b**(12344\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -144*w - 2094 = 2524 - 586 for w.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = 717*p + 3624. What is u(-5)?\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s*s*(s\/s**(-1\/4))\/s)**(1\/19))**(-6) assuming s is positive.\nAnswer: s**(-27\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 5633*j**3*n**3*w**2 - j**3*n*w**3 - j*n**3*w**3 - 2*j*n**2*w**3 + 1148*j*n**2*w wrt j?\nAnswer: 33798*j*n**3*w**2 - 6*j*n*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 10\/(-14) + (-4)\/(-14). Which is the closest to 1?  (a) m  (b) 4  (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 45593 to the power of 1\/5, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (3\/(-35))\/(20\/900*81).\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*k - v + 7, -15 = 3*v - 6. Let t be 12\/(-634)*1\/k. Which is smaller: -1 or t?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-8)\/3)\/4*-3. Let f be 1\/(0 + 2\/p). Suppose -f + 10 = g. Calculate the least common multiple of g and 7.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 88 = -6*s + 2*s. Suppose -2*l + 4 = -2*w, -l + 2*w - 7*w = -14. Let a be s\/8 - l\/16. Are a and -2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 818*u - 269*u - 267*u - 272*u.\nAnswer: 10*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 78957859831 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 3 and -169.5?\nAnswer: 172.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 3\/25 of a tonne?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -73 (base 11) in base 13?\nAnswer: -62","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 4*-1 - (-1 - 82) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -6  (b) -0.2  (c) 1\/2  (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 11118085?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = b**3 - 40*b**2 + 42*b - 40. Calculate the least common multiple of 21 and g(39).\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1 or -8\/601765?\nAnswer: -8\/601765","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*v**3 + 1790610*v**2 + 28649184*v + 114595968 = 0.\nAnswer: -596854, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -18253\/936 - -1\/936. Let j(x) = -2*x + 10. Let r be j(4). Suppose 0 = -5*w + d - 96, w + r*w - 2*d + 52 = 0. Is w at most u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -944374 = -37*n - 13*n - 36074. List the prime factors of n.\nAnswer: 2, 31, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -14\/73 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Express -22738437*n**3 + 22737932*n**3 + 0*n + 2*n + (3*n**2 + 4 - 5*n**2 - 2)*(4*n - 4 + 4) in the form b*n + v*n**3 + i + w*n**2 and give v.\nAnswer: -513","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort -8, -3, -10, -2798 in descending order.\nAnswer: -3, -8, -10, -2798","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 0.003, -34, -28?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 24873 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1486*h = 421*h + 345*h - 1110*h - 118950 for h.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 147.8014 millilitres?\nAnswer: 0.1478014","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 8642441623 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/1607, -4, 0.3, -5\/4 in decreasing order.\nAnswer: 0.3, -1\/1607, -5\/4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = 1102*b + 58. Let a(k) = -3267*k. Determine a(u(d)).\nAnswer: -3600234*d - 189486","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Convert 268123.47 months to millennia.\nAnswer: 22.3436225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -n**3\/9 - 1171*n**2\/9 - 130*n = 0.\nAnswer: -1170, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 1.00000025 - 1. What is g rounded to 7 dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 72, 2\/7, -8, -2.5 in descending order.\nAnswer: 72, 2\/7, -2.5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -24 + 29. Solve -4*h + j*h - 15 = 5*u, -9 = u + h for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3035 = 150*z + 2642 + 173 for z.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 25580.\nAnswer: 2, 5, 1279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 1330 (base 4) to base 6\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 422?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*t - 20 = -3*t + 4*v, -2*t - 5*v = 25. Let h(k) = k - 6. What is h(t)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when (0 + -20)\/((-28)\/175) is divided by 65.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (9 - 47)*((-6)\/(-4) - 2). Solve 17 - x = i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 40970 = -9*a + 241787. What are the prime factors of a?\nAnswer: 53, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -22*x - 6 = -20*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -560142 divided by -25461?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = -c + 12. Let b be w(7). Let u(i) = 4*i**2 + b*i**2 - i + 2*i. Suppose 0 = g + 659*r - 657*r - 11, -5 = -r. Calculate u(g).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -142, -252, -336, -394, -426, -432, -412?\n\"Answer: 13*u**2 - 149*u - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = -23*d + 560. What are the prime factors of z(-21)?\nAnswer: 7, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 0.3  (b) -11\/6  (c) -6.27  (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y + 0*y + 1 = 0. Let n = 1.6 + 0.4. Let z = -87.29 + 87.79. Which is the closest to y?  (a) 4  (b) z  (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 388, 397, 412, 433, 460?\n\"Answer: 3*y**2 + 385","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*o - 160 = 5*o - 4*l, 5*l = -2*o - 31. Let b = -25 - o. Suppose -b*r = -6 - 0. Solve -r*v = v - 9 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-7 - (-11)\/1)\/(4 + -3). Solve 2*r = -5*k - 17, j*r - 3*k + 0*k = 31 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = a + 8*a - 2*a - 4*a. Let u(t) = -3*t. Give z(u(y)).\nAnswer: -9*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 137486535?\nAnswer: 3, 5, 29, 113, 2797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i\/(i**4*i*i*i))\/i**(-1)*i*i**(-2\/9)*i**1)\/(((i\/(i**(-5\/6)*i))\/i)\/i**(2\/15)*(i*i**0*i*i)**(-2\/7)) assuming i is positive.\nAnswer: i**(-1301\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 f when three letters picked without replacement from {l: 15, f: 4}.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {q: 13, a: 3, i: 3}. Give prob of sequence qii.\nAnswer: 13\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*q + 136 = -4*k, 12*k = 16*k + 20. List the prime factors of q.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 15922?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 220 - 215. Suppose -x*p + 2083 = -j, 0 = -2*p + 5*j + 403 + 444. Does 11 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 22377 is divided by 7454.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = -504*a. Let u(b) = -55 + 55 - 191*b + 431*b - 207*b. Give u(z(o)).\nAnswer: -16632*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 10 divided by -136.\nAnswer: -5\/68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 92 and 368?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = 2*v**2 + 5*v - 4. Let o be h(-3). Let x be (-5 + 4 + o)*-4. Solve 0 = -2*f + 3*k + x, -5*f - 18 = 5*k + 12 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o = -5*o + 30. Let c = 9 - 5. Let x be (-2)\/1 + c + 133. What is the greatest common divisor of x and o?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -7\/5, 4, -0.09?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {f: 6, o: 2, d: 3, k: 3, m: 6}. What is prob of picking 2 d, 1 m, and 1 o?\nAnswer: 12\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (36\/(-14))\/(48\/(-2128)). What is the closest to -1 in -1, 1\/7, j, 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 40403?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 665 and 6716101.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1150 and 46?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = 17*w**2 - 2*w + 1. Suppose 0 = 5*b - 3*p - 46 - 198, 0 = 3*b - 3*p - 150. Calculate the remainder when b is divided by t(1).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 less than or equal to -6\/18763?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence bba when three letters picked without replacement from {b: 2, a: 7}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*((sqrt(13) + -2*sqrt(1573) + sqrt(1573) - (sqrt(156)\/(sqrt(12)*-1) - sqrt(13)))**2 + 1) + -4.\nAnswer: 2495","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = 4*u**2 + 8806*u + 17610. Give j(-2).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = 8*c + 13. Which is smaller: c or -25\/29?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(10)\/(-4*sqrt(125)).\nAnswer: -sqrt(2)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.317004659 to four decimal places.\nAnswer: 0.317","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1043201?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 93 + -95. Which is greater: 26 or v?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in 0, 4\/11, -0.5, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0.767 - -5.123. Is f at most as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -10.5 to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2649*q - 563*q + 169*q + 304300 for q.\nAnswer: 100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -29*n**3 + 66*n**3 - 19*n**3.\nAnswer: 18*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 114151 and 844?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 90 (base 12) in base 14?\nAnswer: 7a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0003973204643 to seven decimal places.\nAnswer: -0.0003973","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 4197176?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from {y: 3, i: 12}.\nAnswer: 22\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 0 + (1 - (0 + -2)). Solve 0 = -s - g - o, -6*s - 15 = -s + 4*g for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 60181 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert 412 (base 11) to base 3.\nAnswer: 200102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3211\/228 - (-42)\/(-3).\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 741.544 nanograms to micrograms.\nAnswer: 0.741544","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: ((-6)\/4 - 1) + (-3)\/(-1)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = -v**3 - 8*v**2 - 96*v - 771. Let g be w(-8). Sort 0.4, 78, -0.2, 1, g in ascending order.\nAnswer: g, -0.2, 0.4, 1, 78","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -183352, -366699, -550046, -733393, -916740, -1100087?\nAnswer: -1283434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = m + 4. Let p be g(-6). Let w be (3\/p)\/((-3)\/10). Suppose 4*k = w*h - 773, 2*k + 625 = 4*h + k. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 0.08  (b) 0.1  (c) -5  (d) 24  (e) 14\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = 3*q**2 + 8*q. Let a be x(-4). Suppose 5*k = -5*b + b + 148, -4*k = -b + a. Is b a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -280 and 3.65231.\nAnswer: -1022.6468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -5 + 6. Suppose -v = -3*p - 4. Let n be 14 + -1 - (4 + p). Solve 2*w - 2*c + 4 = 0, 2*c = w + 7*c - n for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = 2*c**2 + 3*c + 5. Let u(j) = -7*j**2 - 12*j - 19. Let w(r) = -11*a(r) - 3*u(r). Determine w(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 22116 divided by 582\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 289380 + -289385. Suppose 300 = 5*h - 100. Which is the biggest value?  (a) t  (b) h  (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = v**3 + 9*v**2 - 9*v - 1. Suppose -3*s = -y + 32, 5*s - 28 = -5*y - 68. What is u(s)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1658?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 79586218?\nAnswer: 2, 67, 257, 2311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = -g**3 + 6*g**2 - 7*g + 5. Let c be n(5). Let f(o) = -o**2 + o + 15. Let r be f(c). Let l(t) = -6*t - 16. Is 18 a factor of l(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = -r + 1. Let f(s) = -s**3 + 9*s**2 - 12*s + 43. Let u(a) = f(a) + m(a). Let w be u(8). Solve -5 - 3 = w*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = 2*g - 3 + g + 1. Let z(b) = -1. Let s(l) = 2*x(l) - 2*z(l). Let j(m) = 7*m - 3. Determine -4*j(o) + 5*s(o).\nAnswer: 2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -572 + -5?\nAnswer: -577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Express -49654978*s + 2*s**4 - 1 + 49654978*s - 4686*s**3 as m*s**4 + t + b*s**3 + p*s + c*s**2 and give b.\nAnswer: -4686","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + (sqrt(490)*2 + sqrt(490) + sqrt(490) + sqrt(490) - ((sqrt(110)*2)\/sqrt(11) + sqrt(10) - sqrt(10)))\/((sqrt(10) + 2*sqrt(160))\/sqrt(2)).\nAnswer: 3 + 11*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 10 - 8. Let p = -6 - -10. Sort 3, p, k in decreasing order.\nAnswer: p, 3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = 79*z**2 + 24*z - 39. What is the remainder when u(-4) is divided by 19?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.441 plus -85.3?\nAnswer: -84.859","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Does 7 divide 2570929?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = 11*b. Let p(g) = -90*g. Give p(i(z)).\nAnswer: -990*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*((5 + 5 + sqrt(175))**2 - sqrt(175)) + -3.\nAnswer: -278 - 95*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 29631.68524 rounded to the nearest one hundred?\nAnswer: 29600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(84) + 1*3*sqrt(84))*-2*-1)\/((sqrt(24)\/(sqrt(16)\/sqrt(8)) - sqrt(12)) + 4*sqrt(432)).\nAnswer: sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 53, 52, 55, 68, 97?\nAnswer: 148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence cn when two letters picked without replacement from {z: 2, v: 1, o: 1, n: 1, c: 8, l: 3}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 1.643 and -590445?\nAnswer: 590446.643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4 - 2 + 2*l**2 + l**2 + (-l + 0 + 0)*(-1 + l + 1) - 7*l**2 + 3*l**2 + 3*l**2 + 39*l**2 - 20*l**2 - 34 - 21*l**2.\nAnswer: -l**2 - 32","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -366726916*q - 3*q**2 + 366726916*q.\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Convert 6325828 (base 9) to base 7.\nAnswer: 40520441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -1 - -6. Suppose 13 + 5 = 9*r. Suppose 3*z = d*z + 2*y - 16, -r*z + y + 4 = 0. Solve z*h = b, -b = -6*b for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -113\/168 and 67\/224.\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 3\/5, -502, -6\/7?\nAnswer: -502","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 1396, 5536, 12432, 22084, 34492, 49656?\n\"Answer: 1378*a**2 + 6*a + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 13 - (9 + 2) - (-6 + (-3 - -66))?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 32719 + -32170. What is the greatest common factor of 244 and b?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 104 (base 5) to base 12\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:36 PM and 1:57 AM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 5250 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = -d**2 - d + 4. Let g be f(-2). Suppose 20 + 16 = g*r. Let z be r\/8 - 10\/40. Solve z*k = -0 - 4 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -21 + (1 - (0 - 3)) + -1117 + 1077.\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 22313 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: Sort 5, 2, 6161 in ascending order.\nAnswer: 2, 5, 6161","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = -223 - i + 70 + 96 + 79. Determine k(-8).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = -9885*h - 315849. Give f(-32).\nAnswer: 471","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:14 PM and 12:48 AM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Express 3*j**2 - 25485*j + 25485*j - 39 in the form c*j + h*j**2 + u and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -6160137 (base 9) in base 4?\nAnswer: -30202202020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -413 + 449. Which is the nearest to 1?  (a) n  (b) -5  (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -153 + 103. Suppose 4*s = -2*v - 70, -2*s = 4*v + 4 + 124. Let a = v - x. Solve 4*q - a = -5*c, 4*q + c - 13 = -2*c for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1205909?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 2176 + -52217\/24. What is the common denominator of (1720\/(-1505))\/(3\/8) and a?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -461311 - -2776345\/6. Let x be 2\/7 + 9830\/(-7). Let c = x + p. What is the common denominator of c and 10\/11?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = -8*u**2 + 16*u - 10. Suppose -4*z - 2*l + 22 = 0, 4*l + 8 - 12 = 0. Let n(r) = -3*r**2 + 5*r - 3. Give z*j(v) - 16*n(v).\nAnswer: 8*v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = j - 3. Suppose 358 = 6*k + 94. Suppose -34*r + 36*r = k. Calculate the remainder when r is divided by f(7).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from nnnnnn. Give prob of sequence nnnn.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 50 a factor of 32262107?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = 48*t**3 - 3*t**2 + 6*t - 4. Let s(c) = -51*c**3 + 4*c**2 - 7*c + 5. Give 5*m(v) + 4*s(v).\nAnswer: 36*v**3 + v**2 + 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = -b**3 + 2*b**2 + 2*b + 6. Let n be h(-2). Let i = 68 + -60. Solve 4*s - n = -2*g, 2*s = -2*g + 3*s + i for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -76746072 divided by -12\nAnswer: 6395506","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 11955783 and 378?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-8)\/10)\/((-18)\/405*-9).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 4319988\/54 + ((-8)\/18)\/(-2). What is m rounded to the nearest ten thousand?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 divided by 12017479.\nAnswer: 2\/12017479","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -145\/737 - -1\/67. Let x = 5 - 10. Suppose -2*m + 8 = -4*m. Which is the second biggest value?  (a) m  (b) x  (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-74 + 1\/(-1))\/(-1). Suppose 3402 - 9933 = -21*o. Suppose 3*k + w = r, -o = -r - 4*r - k. Does 9 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3.6472 rounded to 2 decimal places?\nAnswer: 3.65","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n + 4*r = 7*r + 657, 0 = 5*n + 2*r - 1690. What are the prime factors of n?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -3334 + 3337. Sort 5, -5, u, 710 in increasing order.\nAnswer: -5, u, 5, 710","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = 150*h + 17. Let y(r) = r - 1. Let c(f) = -i(f) - y(f). Is c(-9) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-nine halves of a millennium in decades?\nAnswer: 1450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (5\/10)\/(3\/18). Suppose -72 = -7*n + u*n. Solve m + 3*b - n = 0, -3*b = -8*b + 25 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 222 - 443 + 219 + 77*l in the form z + w*l and give w.\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = -w**3 + 7*w**2 + 6*w + 5. Suppose 15 = 5*n, 3*g - g - 22 = -2*n. Give u(g).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -0.6738 - 0.0152. Round b to 1 dp.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = -16*p - 31. Let b be s(-4). Suppose 4*j = b - 1. Solve 2*g = -4*o + 12, -o - j = 5*g + 7 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*i**4 - 2*i**2 + 3*i**3 - 7*i**3 + i**3 - 14*i**2 + 2*i - 4*i in the form a*i + z*i**4 + n + f*i**3 + u*i**2 and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 10394659\/124 - -503740781\/1364. Let q = 453223 - b. Let n = -398\/11 + q. Calculate the common denominator of n and 17\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9*g - d = -79, 48 - 38 - 166 = -17*g - 2*d for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1616*a = 1245*a + 742 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 3721, 3553, 3385, 3217?\n\"Answer: -168*p + 3889","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = -16233*x**2 - 11*x + 15589. Let h(v) = -35712*v**2 - 24*v + 34296. Let o(t) = -11*h(t) + 24*s(t). What is the derivative of o(z) wrt z?\nAnswer: 6480*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + -3*(2 + 0 + 0 + sqrt(4032) + -5)*-4.\nAnswer: -35 + 288*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = i**3 - 5*i**2 + 3*i - 3. Give d(3).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -692 - -693. Sort 13, -2, -11, l in descending order.\nAnswer: 13, l, -2, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -114*p = -196*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/42, 5, -5 in decreasing order.\nAnswer: 5, 1\/42, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Convert 10150.14 kilograms to micrograms.\nAnswer: 10150140000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) 0.12  (b) 0.4  (c) -0.03  (d) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -1852745 - 1.181898?\nAnswer: -1852746.181898","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -29\/5010 and -43\/8016.\nAnswer: 40080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = -608*f + 103. Is z(-27) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -11 in -2, 0.02, -1277\/8?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 259176.5 and -3395043?\nAnswer: 3654219.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = 14550*d. Let p(c) = -100*c + 4. Let u(j) = -251*j + 10. Let x(z) = 5*p(z) - 2*u(z). Give n(x(t)).\nAnswer: 29100*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = -a**3 + 48*a**2 - 577*a + 26. Let g be x(24). Let r(o) = o - 1. Let b(k) = 1. Give g*b(u) + r(u).\nAnswer: u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = d**3 - 3*d**2 - 5*d - 5. Let s be n(5). What is the common denominator of 26\/s + (-2)\/(-4) and -11\/2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l - 8 = 7. Suppose 2*v - l = -3*b, 0*v = v - 5*b + 12. Suppose -4399988 = h - v*a, 0*h + 5*a = -2*h - 8800020. Round h to the nearest one million.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 6 and 1718202?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, -3\/4, 42, 2\/9, 5, -0.1416 in descending order.\nAnswer: 42, 5, 2\/9, -0.1416, -3\/4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 157*6.\nAnswer: 942","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sum -20.2183 and -1.\nAnswer: -21.2183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 9156*m**3 + 10009830*m - 929*m**3 - 10009830*m.\nAnswer: 8227*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 66 + -60. Let f be (-6)\/15*(-191 + l). Find the first derivative of -150*r**2 + 15 - 3*r**3 + 76*r**2 + f*r**2 wrt r.\nAnswer: -9*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does -192\/72383 = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 9105579457?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = -m**2 - 23*m - 142. Give d(-13).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = -z**3 - 7*z**2 - 3*z + 6. Let p be m(-6). Which is the closest to -1?  (a) p  (b) 3  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*p - 3*p + 4*p)*(p**3 + 10*p**3 + 4*p**3).\nAnswer: -30*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i + 3 = -1. What is the third derivative of -2*t**5 + i*t**5 - t**5 + t**2 wrt t?\nAnswer: 60*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2338?\nAnswer: 2, 7, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = -4*s + 5044. Let p(d) = -6*d. Give y(p(b)).\nAnswer: 24*b + 5044","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = -14*b**3 + 3*b**2 + 3*b + 5. Let y(g) = 26*g**3 - 5*g**2 - 5*g - 9. Determine 11*v(d) + 6*y(d).\nAnswer: 2*d**3 + 3*d**2 + 3*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.4848 to 2 decimal places.\nAnswer: 0.48","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = -2938*y + 22. Let i(z) = 4401*z - 32. Calculate 7*i(p) + 10*r(p).\nAnswer: 1427*p - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1190?  (a) 1.2  (b) 211  (c) -5  (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j - 2*k + 2 = -3, -5*j - 2*k + 23 = 0. Let f(d) = -d**3 - 4*d**2 - 2*d - 6. Let w be f(-4). What is the units digit of j*w*(-11)\/(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 8 - (-8)\/(-1 + -3). Let f(x) = -13*x + 7*x + m*x - x**3. Suppose -o + 3*o + n = -2, 5 = -5*o - 4*n. Calculate f(o).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 1\/4  (b) 1\/3  (c) -6  (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 1298654 < -0.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2013 (base 9) to base 11.\nAnswer: -1117","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 2 + 2)*(2 - 2 - j) + 1 - 1 + 2*j + (-27 - 41 - 44)*(j - j - j)*(0 + 3 + 0)*(0 - 1 - 2).\nAnswer: -1007*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1100)*-4)**2*1 + (-5*sqrt(1100)*2)**2.\nAnswer: 127600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -371ff (base 16) in base 6?\nAnswer: -4501155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 3401347 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1603904, -1603903, -1603902, -1603901, -1603900?\nAnswer: -1603899","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 465 and 375?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 7*i**2 + 2*i - 2*i to v*i**2 + m*i + n and give v.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 240 and 153?\nAnswer: 12240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*g**4 - 303*g**3 - 1173*g**2 - 873*g = 0.\nAnswer: -97, -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) -5527  (b) 4  (c) -3\/235\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -27*p + 290*p + 56*p.\nAnswer: 319*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Does 19 divide 5022?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -6*w + 72*w**4 - 72*w**4 - 6*w**5 - 2*w**2 - 6*w wrt w.\nAnswer: -120*w**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -1401263 and 1.\nAnswer: -1401263","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 1168 and 729124.\nAnswer: 2916496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -7 + 918\/63 + (9 - (-6 - -22)).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -4231 + 4438. Calculate the highest common divisor of 261 and c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-17 + 54 - 37 - 87*s**2)*(4*s**3 + 0*s**3 - 3*s**3).\nAnswer: -87*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 11 - 9. Let g be -2 + u*(-1 - -7). Calculate the least common multiple of 2 and (g\/6)\/(1\/3).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w - 8 = -2*c, 3*w - 3 - 6 = -2*c. Suppose 665 = 6*o + 29*o. Let m(h) = 11 - 4*h**2 - o + 9 + 2*h + 2*h**c. Calculate m(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = -15*b + 138. Is 7 a factor of z(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -365.0379015 to 0 decimal places.\nAnswer: -365","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 634111770?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 7 - 7.1. Let s be 12*4\/16*16\/12. Suppose 4*n = 3*i + 47, 0 = -s*i - 3*n - 140 + 44. Which is bigger: j or i?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 2816994 - 1557256. Let r = k + 1050262. Round r to the nearest 100000.\nAnswer: 2300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 23852 = -63709*l + 63977*l for l.\nAnswer: 89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -2721, -13308, -31773, -58122, -92361, -134496, -184533?\n\"Answer: -x**3 - 3933*x**2 + 1219*x - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 11 - 105?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 129*t - 159*t = 120 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 s and 2 n when three letters picked without replacement from nnsnysns.\nAnswer: 9\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + -3 + sqrt(2448)*1 + ((-2*sqrt(136)*-5)\/((sqrt(8) + sqrt(72))*2))**2.\nAnswer: 361\/16 + 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of (6 + 767550\/(-127232))*((-52)\/12 + 3) and -7\/1704.\nAnswer: 6816","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00011997825 rounded to five dps?\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 17669?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Put together -21859 and -0.01.\nAnswer: -21859.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.62 - -0.08. Let r be ((-6)\/(-81))\/(143\/627 + (-2)\/(-19)). Which is the closest to o?  (a) -2  (b) -3  (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-33)\/55*5 + -1*18\/3?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -25, 19, -149.\nAnswer: -149, -25, 1, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of (8142\/8188)\/(2 - (-6 + 2)) and 22\/5.\nAnswer: 1780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*u + 0*u = 100. Suppose -4*l = -4*n + u, -2*n - 10 - 5 = 3*l. Suppose 5*p = 5*f + 2*p - 49, 3*f + 5*p - 43 = n. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (4 + -3)\/((-1)\/(-3)). Suppose 2*y - 17 = l. Suppose -y + 2 = -4*a. Solve -a - 6 = 4*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3*d**2 - 5 + 9 - 8 to the form y*d**2 + c + x*d and give c.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = -n**3 + 7*n**2 + 103*n - 123. Determine i(-8).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 2556 divided by -284\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = k**2 - 37. Let g be m(-6). Let l be (-4)\/3 + (-2)\/(-6). What is the units digit of (-396)\/(-4) + (l - (0 - g))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6152 + 4*u**3 + 12299 - 6147.\nAnswer: 4*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort -17, -16, -4 in decreasing order.\nAnswer: -4, -16, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 3\/(-4) + 310\/8. Let t = -25 + w. Find the common denominator of t and 3\/7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = -19*c**2 - 6*c - 30. Let u(s) = -58*s**2 - 17*s - 84. Let l(j) = 17*d(j) - 6*u(j). Let q(y) = -y**2 - 1. Calculate l(v) - 6*q(v).\nAnswer: 31*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = l**3 + 21*l**2 - 11. Let u = 3033 - 3054. Calculate s(u).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -373, -1548, -3557, -6442, -10245, -15008?\nAnswer: -20773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:25 AM and 7:55 PM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 169893, 339034, 508175, 677316, 846457, 1015598?\n\"Answer: 169141*p + 752","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 63*w - 27*w - 33 + 10 - 19*w - 19*w.\nAnswer: -2*w - 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 116 + -122 - (3 + 0 + 0)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 l, 1 n, and 1 q when three letters picked without replacement from {l: 1, c: 1, n: 1, d: 2, f: 2, q: 2}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 42 - 28.9. Round r to the nearest 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(68) - (sqrt(68) - (sqrt(68) - -6*(sqrt(68)*2 + sqrt(68))))) + sqrt(68))\/(sqrt(576) - (sqrt(576) - sqrt(576)*2 - sqrt(576))) + -5)**2.\nAnswer: -50*sqrt(17)\/9 + 2450\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3*0.415.\nAnswer: -1.245","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put 12, -0.2, 2.9, 0.2 in descending order.\nAnswer: 12, 2.9, 0.2, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 4c61a0a - 1?\nAnswer: 4c61a09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 610385267, 610385266, 610385265?\n\"Answer: -l + 610385268","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence lo when two letters picked without replacement from {l: 2, j: 6, o: 10}?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = 19*z**2 - 7*z + 2. Let h be o(1). Suppose -7*n + 28 = h. Solve -3*f = n*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is three sixteenths of a kilometer in centimeters?\nAnswer: 18750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let 4*t**2\/7 + 693548*t\/7 + 693544\/7 = 0. What is t?\nAnswer: -173386, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 1115951863 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) be the third derivative of -v**6\/40 - v**5\/3 - 3*v**4\/4 - 17*v**3\/3 + 134*v**2. Let f be t(-6). Factor -2*y + 1\/4*y**f + 7\/4.\nAnswer: (y - 7)*(y - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(sqrt(304) + sqrt(304) + 0 + 1) - ((-3*-2*sqrt(304) + sqrt(304))**2 + sqrt(304) - (-2 + sqrt(304) + -3)**2).\nAnswer: -14562 - 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -t - 4*n = -15, -7*t + 21 = -12*t + 4*n for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = 4*k + 7 + 5*k**2 + 2*k**2 - 6*k**2. Let j be s(-11). Let v = 139 - j. What is the tens digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 3 + -6. Let w = -3 - d. Let k = -3.02 + 3.02. Which is the closest to k?  (a) 1\/2  (b) w  (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t**(-2\/21))**(-2\/35)*t**(-2\/73)*t*t**31)**(2\/65) assuming t is positive.\nAnswer: t**(3431564\/3487575)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u = 5*u - 24. Suppose 0 = 4*a + 2*t - 34, u*a + 2*t - 4*t = 38. What is the highest common divisor of a and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 17, 13, 5, -7?\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: (-168 - -95 - -190) + 0 + -37\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = -g + 2. Let o(d) = d**2. Let w be o(0). Let t be u(w). Suppose 15 = 5*c, 0*s = 2*s + t*c + 221994. What is s rounded to the nearest 10000?\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = m**2 + 2*m + 1. Let u be g(-3). Suppose -u*z + 5 = -19. Suppose -z = -2*i + 8. What are the prime factors of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((o\/(o*o**16)*o)\/o*o)\/o*o**(-11))**(-47) assuming o is positive.\nAnswer: o**1269","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3*g**4 - 6*g**4 + 4*g**4)*(-1 + 0 + 2) to the form d + c*g**3 + k*g + h*g**2 + q*g**4 and give q.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 16246 is divided by 492.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Does 61 divide 2338471?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = -j**3 - 34*j**2 - 26*j + 243. Calculate n(-33).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -310 - -308. What is the second biggest value in -5, 149, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -10 (base 2) to base 5.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-6362211)\/10613440 - ((-3)\/5 + 0). Which is smaller: -1 or d?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 15096 is divided by 2113.\nAnswer: 305","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) be the third derivative of -d**7\/840 + 7*d**6\/360 - d**4\/8 - d**3\/3 + 47*d**2. Let y(a) be the first derivative of c(a). Differentiate y(g) wrt g.\nAnswer: -3*g**2 + 14*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 20*a - 1 + 4*a + 1 to o*a + g and give o.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 739433?\nAnswer: 739433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -331.95 * 15405\nAnswer: -5113689.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express (-12*v + 6*v + 7*v - 2)*(2*v + 1 - 1) + 54*v**2 + 603 - 603 in the form u*v**2 + p*v + l and give p.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"}
{"text":"Question: Round -4.984713 to 2 dps.\nAnswer: -4.98","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4212 = 15*g - 11*g. Suppose -3*h = 3*o - 615, 2*h + 3*h - 2*o = g. What is the remainder when h is divided by 42?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2 in 2, -5, 3\/2, 2\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 54.3 - 58. Let t = 4 + q. Let y = -1335578\/5 - -267116. Which is the smallest value?  (a) 5  (b) t  (c) y  (d) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 74*t + 71*t + 89*t - 231*t.\nAnswer: 3*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3021 divided by -1261.\nAnswer: -3021\/1261","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j - 3*j = 12. Let w be (-2 - -4) + -5 + 1. Is 7 a factor of (-4 - w - 0)*j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 26 + -26.00094. Round j to four decimal places.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 7  (b) -1\/3  (c) 1014  (d) 35\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 96 - 154. Let m = o - -62. Suppose -m*z + 296 = -4*b, -5*b + 157 + 157 = 4*z. Calculate the greatest common divisor of z and 190.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-243*q - 21 + 3 + 17)*(-4 - 4 + 2) + (5 - 5 - 2)*(-q + 3*q + 0*q).\nAnswer: 1454*q + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is two fifteenths of a decade in months?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 300610?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -1101 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = -c. Let g(s) = -7*s - 2. Suppose 2*o - 4 = -0. Let z = 54 - 49. Let t(a) = 15*a + 5. Let x(u) = o*t(u) + z*g(u). Calculate x(r(y)).\nAnswer: 5*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -95*i**2 + 211*i**2 - 116*i**2 - 943*i**3.\nAnswer: -943*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -3*p*w**2 - 85657*p*w - 1365084*p wrt w?\nAnswer: -6*p*w - 85657*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o = 94 + 50. List the prime factors of o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 12 and 560068.\nAnswer: 1680204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 y, 2 z, and 1 m when four letters picked without replacement from {y: 5, r: 1, z: 3, m: 3}?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -5.13 in 6, -50, -4\/67, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 9 + (-8 + -1 - (35 - 41)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 4 - -240?\nAnswer: 244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 4, 0.3, -123?\nAnswer: -123","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -0.2, -4, 1\/5, 70 in increasing order.\nAnswer: -4, -2, -0.2, 1\/5, 70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find j, given that 4*j**3\/3 + 496390*j**2\/3 - 248198*j\/3 - 82732 = 0.\nAnswer: -124098, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = -p**3 + 6*p**2 + 3*p - 8. Let v be a(5). Suppose 4*q = v + 68. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 28\/13 - (-4)\/(-26). Let j be (-5)\/(-7) - h*2\/(-14). Solve 0*q - x = 5*q - j, -5*q - 3 = -3*x for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1c (base 13) in base 3?\nAnswer: -221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 675297010 is divided by 1898?\nAnswer: 1896","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 8435 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: Multiply 1107750 and 5.\nAnswer: 5538750","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = t**2 - 4*t + 24. What is the remainder when 68 is divided by h(0)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 8484 is divided by 27?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w = 3 + 9. Let q(i) = -14*i + 13. Let k(j) = -28*j + 25. Let d(o) = w*k(o) - 9*q(o). Is d(14) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*c + 25 = 3*t + 8, -2*c = 4*t + 14. Suppose 0 = -k - 0*k + 18. Let g = k - 22. Sort 0, g, t in descending order.\nAnswer: 0, t, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find i, given that -4*i**2 - 26420*i - 105616 = 0.\nAnswer: -6601, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.1?  (a) 3  (b) -0.3  (c) -999  (d) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*a - 8 = -29. Let r be ((-1)\/a)\/(6\/108). What is the remainder when 45 is divided by 160\/15*r\/4?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = 30*c - 9. Let p(i) = 20*i - 6. What is -5*l(m) + 7*p(m)?\nAnswer: -10*m + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round 129595900 to the nearest one million.\nAnswer: 130000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1645895 is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = 2*k + 3*p, 320 - 322 = 5*k - p. Solve k = 2*l + 1274 - 1290 for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -20000100112 (base 4) to base 6.\nAnswer: -112545514","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-4752)\/84*560\/(-60). What is the highest common factor of 656 and o?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((0 - 4 + 2)*(2 + 0 - 4) - 10 - 7 + 7)*(-l - l - l).\nAnswer: 18*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*(1 + sqrt(108))**2*2 + (sqrt(900)*-1 - sqrt(900))\/(2*sqrt(432) + sqrt(432)).\nAnswer: -218 - 221*sqrt(3)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -2\/285, 2\/87, 7, 3\/4 in decreasing order.\nAnswer: 7, 5, 3\/4, 2\/87, -2\/285","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = -h**3 + 20*h**2 + 1836*h + 23. Calculate y(-34).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*m - m - 95 = 0. Suppose -u = -o - m, 0*u - 4*u - 2*o = -52. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = g + g**2 - 2 + 11 + g**3 + 0*g. Give z(0).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 390?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5311510 divided by 37405.\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 1226, 2468, 3710, 4952?\n\"Answer: 1242*d - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand a**3 + a**3 + a**3 + (7*a**2 + 3*a - 3*a)*(5*a + 5*a + 4*a) + a**3 + 0 + 0.\nAnswer: 102*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -3.18 + 3.6. Let z = 1.04 + y. What is z rounded to 1 dp?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 11\/2 of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/9, -1, -10, 2 in ascending order.\nAnswer: -10, -1, -1\/9, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -955\/12 + 238\/3. Let t = -4.8 + 0.8. Let u = 3.7 + t. What is the smallest value in u, 1, f?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*m + 10*m + 27 = 3*h, -4*h - 2 + 2 = -h + 9 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 16443 is divided by 299?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is (14 + 12 - 29 - (-3 - -1)) + -16?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = -14*s**2 - 64*s - 6363. Let w(z) = -z**2. Determine u(w(k)).\nAnswer: -14*k**4 + 64*k**2 - 6363","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (193*q**3 + 2 - 69018*q + 69018*q)*(-1 + 0*q - 2*q + 4*q) to h*q**2 + o*q**3 + y*q**4 + u + z*q and give z.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = -59*g**4 - 2*g**3 + 2*g**2 - 2*g - 46. Let a(p) = -p**4 + p**3 - p**2 + p + 1. Let c(o) = 2*a(o) + w(o). Differentiate c(y) wrt y.\nAnswer: -244*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7 a factor of 406021?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2*a**2*j**3*l - 4*a**2*j*l - 13035080*j**3*l + 236088*j**2*l + 8*j*l wrt j?\nAnswer: 12*a**2*l - 78210480*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -58*j - 434 = -28 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-8)\/(-220))\/(3*(-3)\/(-45))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-4)\/5 + (-117)\/(-15) - 3. Suppose y*d - 5143 = 13189. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -49\/6 at least as big as 2\/41?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Express -3*g**2 + 25*g**3 - g + 24*g**3 - 54*g**3 in the form i*g**2 + b + c*g + x*g**3 and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 13681103*g**4 - 3*g**2 - 1867085*g wrt g.\nAnswer: 328346472*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((1\/17)\/((-70)\/595))\/(13\/4).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = 2*c**3 - 5*c**2 - 6*c + 10. Let w be q(3). Suppose 68 = -4*v + 3*i - 2, 0 = -5*i + 10. Is w\/(-4) + (-628)\/v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -109350 divided by 270\nAnswer: -405","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = -2*p + 27. Let n be o(12). Let m be 39\/52*12\/n. Factor h**5 + 7\/2*h**4 + 0 + 1\/2*h + 9\/2*h**m + 5\/2*h**2.\nAnswer: h*(h + 1)**3*(2*h + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.249369 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**(-3))**(7\/11)*((c*c**(-10)*c*c)\/c*c)\/(c*c\/((c\/c**(4\/3))\/c)) assuming c is positive.\nAnswer: c**(-404\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 64624787 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2086, 2104, 2134, 2176?\nAnswer: 2230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m = -0*z + z + 124, -2*z + m = 220. Let u be (-240)\/z + (-1)\/7. Solve 0*n + n + u = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 4\/6 - (-28)\/3. Suppose 337 = 94*y - 133. What is the highest common divisor of h and y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = -3*a**2 - 42*a - 134. Let t be d(-3). Sort 1, t, -1, -3 in descending order.\nAnswer: 1, -1, -3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*m + 117 = 5*b, 5*m - 8*m = 2*b - 56. What is the lowest common multiple of b and 11?\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 4, -3, -1.4, -0.04, 167?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5755768 divided by 452.\nAnswer: 12734","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.02 times 0.7?\nAnswer: 0.014","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 38933 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -269947, -269842, -269737, -269632, -269527, -269422?\nAnswer: -269317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence yp when two letters picked without replacement from pypppy?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -1212 + -200011111201200?\nAnswer: -200011111210112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 w, 1 c, 1 j, and 1 y when four letters picked without replacement from {w: 4, j: 2, c: 2, y: 5}.\nAnswer: 16\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -21 - 9. Let z be (-2)\/6 - (-872)\/s. Let k = z - -30. Is 0.2 at most k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 17 divide (-72)\/108 + (-1295)\/(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v + 0*v - t = 96, -3*t + 153 = -3*v. Let b = -33 - v. What is the smallest common multiple of 30 and b?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -133*m**2 - 7*m**2 - 105*m**2 + 63*m**2 to the form v*m + u + w*m**2 and give w.\nAnswer: -182","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 3*(-2 - (-10)\/15). Let v be (2\/9)\/(6\/9). What is the closest to 1 in 4\/5, v, n?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 332704665 is divided by 246.\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is seventy-two fifths of a gram in milligrams?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2140?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 5 + -5.01. Let u = d + 1.01. Which is the nearest to u?  (a) -6\/5  (b) 3\/4  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n = -179 + 681. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4553*q**2 + q + 5275*q**2 - 546*q**2 - q.\nAnswer: 9282*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Total of -5 and -0.245433.\nAnswer: -5.245433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t**(-2)\/t*t*(t*t\/(t*t**(-1\/9)*t))\/t)\/(t**(-1)*t**(-5)))\/((t**(-2)*t**(2\/5))\/(t**(-2\/7)\/t*(t*t\/t**(-2)*t)\/t)) assuming t is positive.\nAnswer: t**(2339\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"}
{"text":"Question: Product of -0.55 and 0.4.\nAnswer: -0.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Work out 149 * -1.\nAnswer: -149","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u - 6 = -0*u. Suppose v - 24 = -u*v. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 280 - 285. List the prime factors of ((-3)\/(-2))\/(l*(-9)\/6030).\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -6 + -3 - (45 - 54) - 8 - 14?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0 - 9 + 5)*(22*f - 14*f + 13*f) + (4 + 2 + 2)*(-f + 5*f - 2*f) + 3*f + 2 - 2 to the form u + y*f and give y.\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 8\/(-60)*-5*27. Let u be ((-1)\/i)\/((-1)\/(-4)). What is the third smallest value in -3, u, -0.3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 525 minutes after 7:09 AM?\nAnswer: 3:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*-2*sqrt(343) + (sqrt(343) - -3*(sqrt(343) + 0)))**2 + (1*sqrt(448) + sqrt(448))\/((sqrt(4) + sqrt(8)\/sqrt(2))*6) + -4.\nAnswer: -4 + 2*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -133, 2, 5, -1239, 0 in ascending order.\nAnswer: -1239, -133, 0, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -39 - -42 - (2 - -4)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -6 + 14. Suppose -n*q + 3*q + 20 = 0. Suppose -f - 2*d + 5 = 0, 4*f - 8*f + 3*d = -9. Solve -q*w + f = -17 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 26420?\nAnswer: 2, 5, 1321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Convert -33 (base 16) to base 2.\nAnswer: -110011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -259 - -264. Sort n, 3, -2 in decreasing order.\nAnswer: n, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = 3*o - 3. Let l be (10\/6)\/((-1)\/(-3)). Suppose 3*f - 1 = l. Let i(k) = 57*k + 13 + 68*k - 137*k. Determine f*i(s) + 9*a(s).\nAnswer: 3*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -0.4, -81198, 0, 1\/3, -3, -1\/11?\nAnswer: -81198","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.2122 + 6.4978. Is -1 less than or equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 839 + -357. What are the prime factors of m?\nAnswer: 2, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = -m**3 + 5*m**2 + 4*m + 2. Let u be n(6). Let w = -12 - u. Which is the smallest value?  (a) -1  (b) -3\/7  (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1901093?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 9798980*f**3 + 13427748*f**2 wrt f?\nAnswer: 58793880","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -102*s - 812 - 922 = 0 for s.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 3411 (base 10) in base 15?\nAnswer: 1026","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i + 35758 + 10822 = 0. Let f = -186389\/16 - i. Let h = 29 - 61\/2. Calculate the common denominator of h and f.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -65*y**2 - 125*y**2 + 13*y**2 - 2*y**2.\nAnswer: -179*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = b + 50. What is d(-28)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 7850993258 to the power of 1\/8, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*p + 2*p**5 - p + 0*p + (-3 + 2 + 0)*(31*p**5 + 602*p**5 - 123*p**5).\nAnswer: -508*p**5 - p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from pzpzzzzp. Give prob of picking 4 z.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 + 4 - 5*x)*(769*x**2 + 18213 - 18213) - 4 + 4 + x**3.\nAnswer: -3844*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 j, 2 k, and 1 w when four letters picked without replacement from {w: 4, j: 4, c: 2, d: 1, k: 7}.\nAnswer: 28\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -28323*l + 349 + 14164*l + 14153*l to the form a*l + d and give a.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z + 5*t - 11 = 5, -5*z + 2*t = 1. Let s(w) = 88*w**3 + w**2 + 3*w - 3. List the prime factors of s(z).\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 40109*l**3 + 10*l**2 + 20*l**2 - 30*l**2 - 40129*l**3.\nAnswer: -20*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 9, -16, -116 in decreasing order.\nAnswer: 9, 2, -16, -116","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Convert -22516 (base 9) to base 13.\nAnswer: -6a9b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 97423 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9 = -3*y + 2*y. Let f(l) = 89*l + 1070. Let m be f(-12). Is (2350\/45 - 1) + m\/y a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -19 = 3*b + 4*t - 6, -2*b - 1 = -5*t. Sort 2, -205, b, 5 in ascending order.\nAnswer: -205, b, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.2, 17\/3, -0.1 in increasing order.\nAnswer: -0.2, -0.1, 17\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 198\/13, 1\/11, 0, 1.387, 2\/9, 0.1?\nAnswer: 1.387","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Does 175 divide 20300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 3\/4 or -29033739?\nAnswer: -29033739","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4\/((94\/((-8084)\/(-215)))\/(2\/8*25)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n + j - 1 = 7, 5*n - 2 = 2*j. Suppose -p + n*v + 116 = 0, -3*v + 303 = 3*p - 0*v. Let z = p + -52. Is z a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 19\/4 of a tonne?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express -8*q - 2*q**2 + 2*q**3 + 15*q + 6*q**2 in the form s*q + r + a*q**2 + v*q**3 and give a.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 2 + 3)*(s - 2*s**4 - s) + 2*s**4 - s**4 - 2*s**4 + (2*s + 2*s**3 - 2*s)*(-5 - 2*s + 5)*(7 - 7 - 2).\nAnswer: 3*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = -4*b**2 - b. Let o(u) = 3*u**2 + u + 1. Calculate -4*i(k) - 3*o(k).\nAnswer: 7*k**2 + k - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y + 5*i - 25 = 0, -2245*i - 5 = -4*y - 2246*i. Is 2\/10419 > y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -498*u - 33 + 33 + (-4 + 1 + 0)*(2*u - 3*u - u) + 2*u - 5*u + 2*u.\nAnswer: -493*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 32 = -5*x + 42. Solve x*w + 3 = -1 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 27\/170 and 137\/1920.\nAnswer: 32640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*c + 343 + 473. What are the prime factors of c?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) be the second derivative of -s**5\/20 + s**4\/3 + s**3\/6 - 5*s**2 + 20*s. Let q be b(5). Let a = -30 - q. Solve 0 = -m - a*m - 4 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) 597  (b) -49  (c) -1.5  (d) -5  (e) 16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from wwwwwssswsss. What is prob of sequence sss?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 87*b = -1499 + 1673 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*i + 70 = -62. Solve -6*x + i = -3*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence rs when two letters picked without replacement from {s: 11, r: 5}.\nAnswer: 11\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = -y**3 - 17*y**2 - 98*y - 202. Give n(-9).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) be the first derivative of -7*z**3\/3 - 7*z**2\/2 + 7. What is the second derivative of r(b) wrt b?\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00045951 rounded to 4 decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/4, -6, 1, 0.1, -5 in descending order.\nAnswer: 1, 1\/4, 0.1, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Convert -30144 (base 8) to base 3.\nAnswer: -121222211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = -327*a**2 + 8. Let x(b) = -328*b**2 + 6. What is 3*u(c) - 4*x(c)?\nAnswer: 331*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*b + 0*b - 4*d = 0, -3*d = -2*b + 23. Let i be 4\/6 + (-28)\/6. Sort b, i, 2 in decreasing order.\nAnswer: b, 2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-1)\/(-3) - 0 - 0. Let l(g) = 6*g**2 - 2*g + 1. Let j be l(1). What is the closest to 1 in j, z, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -22618*q**3 + 7540*q**3 + 7537*q**3 + 7536*q**3 - 380*q + 380*q.\nAnswer: -5*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = -25*y**2 + 18*y + 43. Calculate d(7).\nAnswer: -1056","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 427224238.\nAnswer: 2, 7, 823, 5297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = -2*r. Let b(s) = 5*s**2 + 4*s + 4. Suppose 0 = -2*l - 21 - 1. Let q(y) = 15*y**2 + 11*y + 11. Let u(k) = l*b(k) + 4*q(k). Determine u(i(h)).\nAnswer: 20*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -9.6838005 rounded to the nearest integer?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Does 332 divide 186185715?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = -160*f**3 - 7*f**2 + f - 40. Let b be g(-17). What is b rounded to the nearest 10000?\nAnswer: 780000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -15987, -31974, -47961, -63948, -79935, -95922?\n\"Answer: -15987*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 2ed487 (base 16) in base 7?\nAnswer: 35041464","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 31241822\/5 or 6248364?\nAnswer: 31241822\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Are -3 and -37158 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Divide 0 by 88.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 30 - 2*k**2 - 30.\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -26 = 2*p + 2*v, -5*v = 11*p - 7*p + 65 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Express (79*y - 5*y - 1950*y - 654*y)*(-6*y**2 + 3*y**2 + 2*y**2 + (-2*y + 2 - 2)*(-11*y + 8*y + 6*y)) as v + q*y**3 + c*y**2 + r*y and give q.\nAnswer: 17710","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -18 - -18. Solve 2*f - 2*h = -5*h - 14, -3*f + 4*h + 13 = a for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1740 = -4*d - 140. Suppose 5*p - p = d. What is the hundreds digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: (3 - 2) + -21 + 23\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -116 - -296. Let f = n + -99. Let d = f - 59. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 168*g - 2427 = 71*g + 526 - 15272 for g.\nAnswer: -127","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from nnuqfnnynkynykynyfqn. Give prob of sequence nnyu.\nAnswer: 7\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Put 23, -8, 4, 0, 1, -4 in descending order.\nAnswer: 23, 4, 1, 0, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*g**4\/9 - 4670*g**3\/3 + 46750*g**2\/3 - 350750*g\/9 = 0. Calculate g.\nAnswer: -7015, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 70 and 968540.\nAnswer: 6779780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 5\/2  (b) -1\/9  (c) -0.1001\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3593.226 centuries to months.\nAnswer: 4311871.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 - 0*5\/(-45).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {q: 11, u: 4, t: 4}. What is prob of sequence qu?\nAnswer: 22\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -9515558 and 4?\nAnswer: -38062232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d = 5*v - 20, 5*v + 4*d = 4*v + 4. Let b(n) = -n**2 - 13*n - 9. Let w be b(-12). Solve -3*f - 2*f - 19 = 2*x, -v*f - 11 = w*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*v + 5 = 5*x, -7*v + 3*v = 3*x - 2. Let y be (-1 - x)\/((-12)\/8). Is (4\/y + -1)*673 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(91)*1 - sqrt(91))*-2 - -4*-2*sqrt(91))\/(6*sqrt(42)\/sqrt(6) + sqrt(175)*2).\nAnswer: -sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -26 + 26.2. Let v = -184 + 180. Let t = 11 + -10. Which is the third biggest value?  (a) m  (b) -2  (c) t  (d) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 22 + -18. What is the second derivative of -13 + 31 + f*z - 18 + 10*z**2 wrt z?\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -2  (b) 2\/11  (c) 1  (d) 4198  (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 1014\/104*(-32)\/(-104). Solve -11 = -4*p + 3*i, -9 = p - 4*p + n*i for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) be the first derivative of t**4\/4 - 7*t**3\/3 + 10*t - 9. Let b be z(7). Calculate the highest common divisor of 10 and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4050*g**3 - 4770*g**2 - 752*g - 32.\nAnswer: -2*(g + 1)*(45*g + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*b = -b - 15. Suppose 6*z - 12 = b*z. Let c = 1520 + -1520. What is the smallest value in -2\/15, c, z?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in 2\/11, -0.221, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 54168 and 1221?\nAnswer: 595848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000017362122228 rounded to seven dps?\nAnswer: 0.0000174","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (4\/(-10))\/(5\/(-70)*-7).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -120 = -5*a - 3*q - 91, q + 23 = 3*a. What is the remainder when 69 is divided by a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = 7*l - 6. Let o(d) = 3*d - 3. Let y(q) = 4*k(q) - 9*o(q). Let z = -338 - -340. Suppose -h = -b - 11, h - z*b = 1 + 13. Determine y(h).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 246, 262, 434, 768, 1270, 1946?\n\"Answer: l**3 + 72*l**2 - 207*l + 380","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 8373.\nAnswer: 3, 2791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -87\/208 and -25\/1931296.\nAnswer: 25106848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 3 - -2444?\nAnswer: 2447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*s - 3*j = -21, 4*s + 4*j + 3 = -1. Let q be (s\/6)\/(3\/90). Are q and -16 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1 or 77\/172?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5335*r**3 - 28*r - 2149*r**3 + 28*r - 1044*r**3 - 2143*r**3.\nAnswer: -r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -3186 in 9, 5, -18?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 843013 is divided by 52681.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.52143 rounded to two decimal places?\nAnswer: -1.52","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*k = 4*b + 36, -20 + 1 = 2*b - 3*k. Let n(m) = m**2 - m + 5. Is n(b) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (39\/((-507)\/26))\/(3*-3)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 18\/22 + (-6)\/(-33). Let x be -3 + 3 + f\/(-7). Which is the nearest to -2\/9?  (a) -0.5  (b) x  (c) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 13\/64 and -61\/37104.\nAnswer: 148416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 5\/((-1)\/(-32)*-4)*(-28)\/16?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = -82175*o + 164344*o + 9 - 82172*o. Let x be ((-6)\/2)\/(6\/4). Let d be s(x). Calculate the greatest common factor of 20 and d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 575280819 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Does 26 divide 357663?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 165 minutes after 5:57 AM?\nAnswer: 8:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7037.\nAnswer: 31, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 8.7 + -9. What is the nearest to 2 in p, 2, 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = -5*k**3 - 5. Let p(i) = 1. Suppose 0 = 5*y - 5*w - 50, 4 = -2*y - 5*w + 17. Let l be (y\/(-15))\/(72\/(-600)). Determine l*p(s) + o(s).\nAnswer: -5*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 33*r**5 - 95189*r**3*t - 987832*r*t - t wrt r.\nAnswer: 660*r**3 - 571134*r*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 86892 - 382759262\/4405. Let h = -207051\/35240 - i. Let c = 15\/1678 + 69337\/33560. Find the common denominator of h and c.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 8 - -12. Is k a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 228667?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7 = 3*n + 4*j, 4*n = -0*j + j + 16. Suppose -202 - 68 = -n*b. What is the highest common divisor of 15 and b?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -30 + 16 = -2*h. Solve -5*j = 4*n + 24, h*j + 16 = -4*n + 4*j for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = -151*b**2 - 3*b + 3. Let k(a) = -a**2 - a + 1. Let h(w) = 2*f(w) - 6*k(w). Let q(n) = 3*n - 19646 - 19652 + n - 2*n + 39298. Determine h(q(i)).\nAnswer: -1184*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 19*k - 9 - 22 - 45. Let n(y) = -y**3 + 3*y**2 + 7*y - 21. What is n(k)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((1*sqrt(363)*-2 + sqrt(363))\/((sqrt(11) - sqrt(176))*1))\/(5*(sqrt(15) - -2*sqrt(735))\/sqrt(5)).\nAnswer: sqrt(11)\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2 - 2 + 150*z**3 + 29*z**3.\nAnswer: 179*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-1 + (-46)\/8)*(-48)\/18. What is the units digit of r\/(-4)*534\/(-9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 848417 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 25 - 32.5. Let w = h + 8. Is w greater than 1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 10 - (-19 - (-2 - -4 - (10 + -1)))?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(162) + 0)*-6 + sqrt(162) + ((sqrt(162) + 1)*-3 - sqrt(162)) + (sqrt(162) + 5*(sqrt(162) - sqrt(162)*2) - (1 + sqrt(162) + 0)))**2.\nAnswer: 1008*sqrt(2) + 31768","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -10, -19, -28, -37, -46?\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -0.3, -1\/11, -0.27, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 583072 divided by -76.\nAnswer: -7672","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in fifty-four fifths of a meter?\nAnswer: 1080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*z**3 + 19746*z**2 - 46016382*z - 13618223330.\nAnswer: -2*(z - 5069)**2*(z + 265)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 divided by 3773?\nAnswer: -1\/3773","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 2821110 a multiple of 401?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*p - 4*p = -8. Suppose 0 = -3*v + v + 6. Suppose v*y - 9*y = 0. Solve -3*i - p*i - 5 = y for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*m - 2*n + 55, 18185354*m = 18185357*m - 4*n + 131 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*c**2 + 3*c**2 + 3*c**2)*((-3*c**3 + 4*c**3 + 4*c**3)*(-1 - 3 + 3) - 3 + 3 + c**3).\nAnswer: -4*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y**5\/3 + 1853*y**4\/3 + 1844*y**3\/3 - 14828*y**2\/3 - 7408*y = 0. Calculate y.\nAnswer: -1852, -2, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20*c - 1 = -1. Solve 3*a - 3*g - 11 = -2*g, 5*a - 3*g - 25 = c for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = -z - 1. Let n be d(-13). Solve 4*t - q = n, -3*t + 0*q = -2*q - 9 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 140576?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 2190 and 876?\nAnswer: 4380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round 6124 to the nearest one hundred.\nAnswer: 6100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.07 * -1.18.\nAnswer: 0.0826","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-16)\/6*5\/60. Let x = 46668 - 46672. Which is the closest to -2?  (a) x  (b) -0.5  (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*g + 2*g + 8. Suppose -1 = -p + g. What is the highest common divisor of p and 55?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 15  (b) 5  (c) -13  (d) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f\/((f**(-1\/3)\/f)\/f))**(4\/5))**(-26)*((f**(-2))**(-4\/23))**(-46) assuming f is positive.\nAnswer: f**(-256\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -1356774.6 rounded to the nearest one thousand?\nAnswer: -1357000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of (-533)\/(8\/(-16)*2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 24*y**3 + 2293*y**2 - 5821*y - 3822.\nAnswer: (y - 3)*(y + 98)*(24*y + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -6 - -2. Let p = 0.2 - -0.3. What is the biggest value in p, n, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.1 - 0.2. Let t = -0.1 - d. Let o = -83\/3 - -28. Sort 2\/3, o, t.\nAnswer: t, o, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = z**2 + z - 13. Let b(d) = -3*d**2 - 3*d + 26. What is 3*b(m) + 7*o(m)?\nAnswer: -2*m**2 - 2*m - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is -392822618 greater than or equal to -392822618?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = m**2 - 4*m - 10. What are the prime factors of z(-8)?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 12076170 to the nearest integer?\nAnswer: 229","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Does 536 divide 9597080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5 divided by 34899100.\nAnswer: -1\/6979820","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 9\/((-27)\/(-2)) - (-6)\/(-9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 9555, -0.9, -0.298?\nAnswer: -0.298","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -26.1 + 25. Let b = -0.1021 + -0.6979. Let o = x - b. What is o rounded to two decimal places?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 0*f**2 - 345*f - 1 - f**2 - 8*f + 355*f - 8*f**3 as y*f + m*f**2 + l*f**3 + d and give l.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.07232152349 to three dps.\nAnswer: -0.072","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 705 minutes after 10:31 PM?\nAnswer: 10:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 25 = 5*b, -12*b + 12 = 3*t - 9*b for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*w + 7*w - 60 = 0. Suppose 15 = 9*f - 6*f. Suppose 0*i + 46 = 2*b - 2*i, -f*i + w = 0. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 + 1161\/(-63)*(-203)\/(-174)?\nAnswer: -33\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -20460, -20533, -20616, -20709, -20812, -20925, -21048?\nAnswer: -21181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -932214.788 rounded to the nearest one thousand?\nAnswer: -932000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of (3\/(-18)*-6)\/(35\/71) and 8\/5.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = 76738*i - 1304266. Determine f(17).\nAnswer: 280","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 716, 718, 720, 722, 724, 726?\n\"Answer: 2*c + 714","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 8 - 3. What is the closest to 0 in x, 3\/5, 2?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) be the third derivative of o**7\/840 - o**4\/24 - 2*o**2. Let j(r) be the second derivative of n(r). Solve j(p) = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) -328  (b) 1  (c) 4  (d) 21  (e) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13552 = -0*h - 28*h. Let w = h + -479. Solve -2*m + m + 3*y = -19, -3*m + 37 = -w*y for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -8440 divided by 1688?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = -c**2 - 3*c + 26. Let i be p(-6). Let h be (-140)\/336 + 2\/i. Is -16\/7 greater than or equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 z, 1 t, and 1 y when three letters picked without replacement from {p: 6, j: 3, z: 1, t: 1, y: 3}.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 154458145.\nAnswer: 5, 73, 423173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.1, 36, -0.03 in descending order.\nAnswer: 36, -0.03, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = 52*i**3 + 2754*i**2 - 95*i + 440. Determine c(-53).\nAnswer: -143","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Determine p, given that 2*p**4 + 4*p**3 - 26*p**2 - 76*p - 48 = 0.\nAnswer: -3, -2, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {m: 9, c: 3, y: 7}. Give prob of picking 1 y and 3 c.\nAnswer: 7\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = -5*x - 6. Let c(z) = -z - 1. Let v(k) = -4*c(k) + t(k). Let y = 6424 + -6415. Give v(y).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3\/5*((-30)\/8)\/((-744)\/22816).\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 129202490047 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Product of -19533 and -230.7.\nAnswer: 4506263.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 11\/10008 and -59\/198.\nAnswer: 110088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = -2*c - 5. Suppose 4*p + 21 = -7. Does 3 divide f(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -427 (base 16) in base 6?\nAnswer: -4531","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-4 - -3) + -3 + 2 - 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 165843395?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = -m**2 + 21*m - 35. Let n be u(18). Is 18 bigger than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6.61971 weeks in hours?\nAnswer: 1112.11128","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1542398?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 q and 1 i when three letters picked without replacement from {i: 1, l: 3, q: 4, k: 2}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Round -426.9 to the nearest one hundred.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13 = 4*g - 11. What is the second derivative of -4*i**4 + 3*i + g*i**4 + 0*i**4 wrt i?\nAnswer: 24*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 35, 2056, -184 in ascending order.\nAnswer: -184, 35, 2056","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 12\/395 or 0?\nAnswer: 12\/395","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 437 + 4 + -4 - -2. Is 1\/(-2)*y*-2 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 121416 is divided by 3560.\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 121*w - w**2 - 61*w - 21 - 59*w to the form t*w**2 + r*w + k and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort 69, -91, -1 in ascending order.\nAnswer: -91, -1, 69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.44 - -0.4. Let p = 333 + -329. Let r = -4\/11 - 25\/22. Which is the second smallest value?  (a) u  (b) p  (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = -4*h - 5. Let n be i(-2). Suppose -n*a = -9 - 0. Solve 3*l + 10 = d, a*l - l - 4*d = 10 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2915, -2909, -2903?\nAnswer: -2897","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = z + 19. Let q be m(0). Suppose 2*u - q = -2*j + 11, -5*j + 35 = -3*u. Calculate the greatest common factor of j and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d - 134 = f - 923, 2*d - 807 = -f. Suppose c - 596 = 3*c. Let r = f - c. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*n = -38 - 22. Let w = n + 18. Which is the closest to 1?  (a) -0.2  (b) w  (c) -4\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -3, 0.06, 4\/17 in descending order.\nAnswer: 4\/17, 0.06, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + ((4 + -3 + (sqrt(343)*-2 - sqrt(343)))*-4*1)**2*-1 + 0.\nAnswer: -49407 + 672*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 73 - 46. Is 3 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 26513 times 8.764\nAnswer: 232359.932","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*m + 46 + 47 = -601*t + 596*t, 21*t + 359 = -m for t.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-183)\/(18483\/(-2828)) - (-236)\/(-10).\nAnswer: 22\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -571 in 1\/6, -2, -1, 0.05?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*t + 56013 = 56195. Put -3, -29, t in descending order.\nAnswer: -3, t, -29","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*x + 11*x**3 - 27 + 4*x**3 + 3*x.\nAnswer: 15*x**3 + x - 27","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1 + 2*p**3 - 15*p**3 - 5.\nAnswer: -13*p**3 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-9)\/(-2))\/(6\/(180\/5)). Suppose l = -2*b + 2 - p, -4*l - 5*b = 91. Let a(n) = -n**2 - 19*n - 5. Let q be a(l). Which is bigger: q or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 488595*r*s**3*z + 51626*r*s**2 + r*s*z - 99*r*s + 6*s**3*z wrt s?\nAnswer: 2931570*r*z + 36*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 400 + -215. Does 50 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -3*c*o*s**3 - c*o*s*x - c*o*s + c*s**3*x + c*s**3 - o*s**3 - 2*s**2*x + 6*s**2 wrt s?\nAnswer: -18*c*o + 6*c*x + 6*c - 6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1396 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -7005 divided by 2335.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -3*i*r**3 + 23951545*i*r**2 - i*r + 5*i - 602*r - 540 wrt r?\nAnswer: -18*i*r + 47903090*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 6\/81 - ((-1070)\/135 - -8).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.10616 - 395552.5?\nAnswer: -395552.60616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + (4*sqrt(768)*5)\/(-4*sqrt(576)).\nAnswer: -10*sqrt(3)\/3 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c = c - 4. Let p = 5 + c. Solve 0 = 2*y - 10, -5*x + p*y - 51 = -11 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = -6*m + 9 - 24*m**2 + 49 - m - m**3. List the prime factors of s(-24).\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xf when two letters picked without replacement from {x: 2, f: 1, i: 7, l: 1, m: 2, e: 6}?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from uzmmumm. What is prob of sequence zu?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 7289731 to the nearest integer?\nAnswer: 194","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = c - 4. Suppose 2*h = 3 + 13. Determine o(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be -4 + -2*44\/(-8). Let k = -5 + t. Is (2 + -2 - -18)*k\/3 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = -3*c**3 - 125*c**2 - 5*c + 4. Let h(r) = -11*r**3 - 375*r**2 - 15*r + 13. Determine 2*h(x) - 7*q(x).\nAnswer: -x**3 + 125*x**2 + 5*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in twenty-seven halves of a meter?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2*c**3 + 15*c**4 + 93*c**2 + 56*c**2 + 46*c**4 wrt c?\nAnswer: 1464*c - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = -c. Let h be u(-2). Let f = 2335 + -2335. Solve -h*r = -f - 4 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of m**2*n*r**3 + 4*m**2*n*r**2 + 10826*m**2*r**3 + 52*n*r**3 + 19*n*r**2 + 442*n*r wrt r?\nAnswer: 6*m**2*n + 64956*m**2 + 312*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -4\/11 or -3192385?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from lllqcccblckllqc. What is prob of sequence lb?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**(-3\/8))**16\/(t\/t**(-12))**(-28) assuming t is positive.\nAnswer: t**358","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 4 + 3. Suppose 0*t + t - 4*o + l = 0, 5*t - 5*o + 5 = 0. What is the units digit of t*(-3)\/(-1) + 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 113 + -39. Calculate the greatest common factor of g and 37.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 353099 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -1501.99998957 + 1502. Round m to 7 decimal places.\nAnswer: 0.0000104","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:53 AM and 6:39 PM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25*u = -29*u + 20. Solve 5 + u = -2*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = 3*m - 8. Let k(d) = d**2 - 5*d + 6. Let q be k(m). Solve q*g - 15 = 5*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16 = -f + i - 7, 4*i = f + 3. Let l = 0.02 - -0.48. Sort 2\/11, l, f in decreasing order.\nAnswer: f, l, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -65*l**2 + 6 + 35*l**2 + 25*l**2 - 64 - 2*l with respect to l.\nAnswer: -10*l - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -426a7 - -71?\nAnswer: -42636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Convert -42 (base 8) to base 4.\nAnswer: -202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 41320 (base 6) to base 4.\nAnswer: 1112100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 833869.9l in millilitres?\nAnswer: 833869900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = 4*i**3 - 46*i**2 - 516*i + 5912. Give t(11).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Add -1726 and -0.2.\nAnswer: -1726.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14560 = -4*f - 5*r, -86*r = -87*r. Does 13 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 0.5 from -32404.00615.\nAnswer: -32404.50615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from oeeoeeoeoeeoo. What is prob of picking 2 e?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) be the first derivative of -6*s**5\/5 + 15*s**2\/2 + 7. Find the second derivative of h(d) wrt d.\nAnswer: -72*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = 12*h - 34. Let a be x(7). Let l = a - -32. Is 13 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (m + 2*m - 2*m)*(-3*m + 0*m + 5*m) + (8*m + 4*m + 2*m)*(-23*m - 4*m - 14*m) to z + c*m + l*m**2 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0.173 + -1.103. Let f = q + -0.07. Put f, 5, 1 in ascending order.\nAnswer: f, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-10 - 30 + 10)*(-10*j - j + j) to d*j + c and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 0 + -3.34771718783\nAnswer: -3.34771718783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 998*143.\nAnswer: 142714","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*b - 49 + 34 = 0. Suppose r + 0*c = 5*c + 89, -b*r + 355 = 5*c. Is r a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 762859285 to the nearest integer?\nAnswer: 914","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = b**3 - 12*b**2 - 2*b - 23. Let i(m) = -6*m - 5. Let t be i(-3). Let v be z(t). Let r = v + -72. Is 10 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 2 + u + (2 - 1 + 1)*(0*u - 2*u + 4*u) + 2 - 2 - u)*(-30*u**4 + 7050*u - 7050*u).\nAnswer: -120*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*v + 9 = -9. Suppose -2*m - v*m = -292. What are the prime factors of m?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00010415 rounded to 5 dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = -1389*a. Let g(i) = -155288*i. Calculate n(g(d)).\nAnswer: 215695032*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 3 - 4 - 49*t + 36*t + 3 wrt t.\nAnswer: -13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -5 divided by -6716560\nAnswer: 1\/1343312","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1 - 57*j**2 - 1 + 26*j**2 + 37*j**2.\nAnswer: 6*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -0.4, 3\/4, -42.5, -5.\nAnswer: -42.5, -5, -2, -0.4, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 649 and 1711?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -5*d**3*p**2 + 95*d**3*p + 5494*d**2*p**2 + 2522*d**2*p + 2*d*p**3 wrt p?\nAnswer: -10*d**3 + 10988*d**2 + 12*d*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -3*b*z**5 + 167189*b*z**2 + 8*b - 2022981*z**5 + 2 wrt z.\nAnswer: -180*b*z**2 - 121378860*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve f - 5*f - 3*b = 28, -2*f + b = 4 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s - 29 = 5*g, 2*g - 2 = 4*s + 48. Let k = 2 - 9. Let m be (-8)\/(-30)*k\/s. What is the closest to 1 in m, -0.4, -4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 68 - 95. Let q = s - -43. Suppose -674 = g + q. Round g to the nearest 100.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 18751\/2028 - -2\/507. Let w = x + -101\/20. Which is greater: w or -0.1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 1\/1 - (-104)\/(-8). Let c(j) = j**3 + 12*j**2 - j - 1. Let l be c(v). Let n be (-1)\/(1\/l)*-4. Calculate the highest common factor of 11 and n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -100, -2\/235, 27, -1\/2?\nAnswer: -2\/235","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -51813538230.28 from 5.\nAnswer: 51813538235.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-4 - 2 - -68 - (51 - 43)) + -9.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 15280143 to the nearest integer?\nAnswer: 248","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -60 + 0 = -15*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) be the first derivative of -3*b**2\/2 + 7*b - 2. Let x = 509 + -503. Determine c(x).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) be the second derivative of r**4\/36 - 7*r**3\/18 + 2*r**2 + 2*r - 50. Suppose w(g) = 0. Calculate g.\nAnswer: 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -11870592\/7 or -1695798?\nAnswer: -1695798","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 9 (base 10) to base 11\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -18*z**4 + 436*z**3 + 822*z**2 + 264*z - 104 = 0 for z.\nAnswer: -1, 2\/9, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (75\/(-625))\/(81\/(-450))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*i**2 - 6886*i.\nAnswer: -2*i*(i + 3443)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7*y**2 + 7*y**2 - 8*y**2.\nAnswer: -8*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -188*v**4 + 279*v**4 + 1363*v**4 - 2060*v**2 wrt v?\nAnswer: 34896*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -112 (base 10) in base 7?\nAnswer: -220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 p and 1 o when two letters picked without replacement from {o: 1, p: 2, y: 7, c: 1, l: 7}?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 39\/344066 and 93\/94.\nAnswer: 16171102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = 13*k - 3. Let p be u(1). Suppose 0 = y - 4, 3*s - y = -2*y + p. Let w(f) = 1 + 81*f**2 - 111*f**s - 1. Let b(i) = i. Determine w(b(g)).\nAnswer: -30*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 = a - v - 2, 3*a + 4*v = 29. Suppose -t - 5 = -0*m + 2*m, -4*m - a = 3*t. Sort -4, 0, m in decreasing order.\nAnswer: 0, m, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 t and 2 o when three letters picked without replacement from tioookbbibl.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert -141240 (base 6) to base 11.\nAnswer: -9a76","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*(3 + (1*(1 + sqrt(17)) + -4 + sqrt(17) + sqrt(34)\/sqrt(2) + sqrt(17) - ((sqrt(17) + sqrt(68)\/sqrt(4))*-6 - -2*sqrt(68))))**2.\nAnswer: 7344","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((1*sqrt(3645) - sqrt(45))\/(2*sqrt(3)*5))\/(-1*(sqrt(432) + sqrt(3) + (sqrt(243)*2 - sqrt(243) - sqrt(243)))).\nAnswer: -4*sqrt(5)\/65","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 16*c - 11*c + 3*k + 48 = 0, 48 = -2*c + 6*k for c.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Work out 41443 + 75585.\nAnswer: 117028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a + 5 = k - 2*a, 5*k - 25 = -a. Sort k, -6, -5 in decreasing order.\nAnswer: k, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5398259 is divided by 1443?\nAnswer: 1439","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = p. Suppose -5*f - 69 = -249. Suppose -4*j + n + 11 = 0, -2*j = -8*n + 4*n - 16. Let i(s) = f*s**2 + 14*s**2 - 7*s**j. What is h(i(r))?\nAnswer: 43*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 325 minutes before 7:38 AM?\nAnswer: 2:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -4*l*m**4 + 49*l*m**3 + 2*l*m + 6*l + 4*m**5 - 5*m - 30 wrt m?\nAnswer: -48*l*m**2 + 294*l*m + 80*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence aw when two letters picked without replacement from aaadazawaaaa.\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*j + 6*j - 20 = 0. Let v(k) = -k**3 - 11*k**2 - 12*k - 16. Let r be v(j). Let f = -1 + 6. Which is the second biggest value?  (a) 1  (b) r  (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 516926?\nAnswer: 2, 131, 1973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 40942 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -77 + d**2 - 3*d - 2*d + 6*d + 110 to y + h*d**2 + j*d and give y.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 21\/14*(32\/(-6))\/(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor s**4\/8 + 13*s**3\/4 - 9131*s**2\/8 - 30225*s\/2 + 5405625\/2.\nAnswer: (s - 62)**2*(s + 75)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 324 minutes before 10:31 AM?\nAnswer: 5:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.05 and -0.19?\nAnswer: -0.0095","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.5 - 0. Let c = -42.594 - -42.794. Let g = -8 + 7.8. Put c, i, g, 0.3 in increasing order.\nAnswer: i, g, c, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -3*m**4 + 2 + 550*m**2 + 4*m - m - 551*m**2 as r*m + x*m**3 + z*m**4 + y*m**2 + o and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = 4*j**2 - 3*j. Let g be o(2). Suppose -4*p + 1 = -3*p. Let t be (p - -5*1) + -1. What is the highest common divisor of g and t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000045901 to 5 dps.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is -121\/27908972 > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5.118846 months to decades.\nAnswer: 0.04265705","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -143311134 (base 5) in base 9?\nAnswer: -1377672","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 4 + 516?\nAnswer: 522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = -x**3 + 14*x**2 + 18*x - 33. Let k be h(15). Suppose -16*t + 528 = -k*t. What are the prime factors of t?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of (77\/40)\/(7\/(-21)*18\/(-24)) and -55\/258.\nAnswer: 1290","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -2\/125813 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 10310633 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = v**2 + 7*v + 1. Suppose -c - 5*g = -3*c + 25, c - 18 = -3*g. Suppose -c*b = -12*b + 24. Calculate k(b).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -25 - -17. Let k(m) = -m**2 - 8*m + 4. Let z be k(v). Put z, -4, 0 in ascending order.\nAnswer: -4, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -141*a = -2*a + 112*a - 3012 for a.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 10*3\/(-8)*(-108)\/45\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-5)\/10)\/(((-4)\/2)\/24)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 269?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 481819827 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -19*s**5 + 14*s**4 - 757*s**3 + 9440266*s**2?\nAnswer: -1140*s**2 + 336*s - 4542","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 349151 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = 8*l**4 - 3*l**3 - 1. Let y(h) = 9*h**4 - 4*h**3 - 2. Let d(j) = 4*q(j) - 3*y(j). What is the first derivative of d(c) wrt c?\nAnswer: 20*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v + 4228 = 5*k, -k = v + 4*v - 7054. Suppose -f - 1689 = v. Round f to the nearest 1000.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = 265*r**3 - 23*r**2 + 8*r. Let y(t) = -66*t**3 + 6*t**2 - 2*t. Let i(d) = -2*w(d) - 9*y(d). What is the third derivative of i(u) wrt u?\nAnswer: 384","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1745 - 1141. Let f = x + -314. Suppose -f - 291 = -c. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1150, -2299, -3446, -4591, -5734, -6875, -8014?\nAnswer: -9151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) be the third derivative of o**5\/300 - o**4\/60 - o**3\/10 - 18*o**2. Factor n(c).\nAnswer: (c - 3)*(c + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:23 AM and 1:15 PM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 283 + -114. Let q = 7.711 + -4.711. What is the third biggest value in 5, j, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 520 minutes before 12:12 AM?\nAnswer: 3:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -5011 + -4?\nAnswer: -5015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -40 = 5*n - 10*n. Let f = 67 - 37. What is the remainder when f is divided by n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = -4*i - 3. Let x(q) = q + 1. What is v(n) + x(n)?\nAnswer: -3*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round 1.984 to one dp.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 8 + (2 - (-6 + (2 - -4))) + 7?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1.729000839 + -1.729. Round z to seven dps.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 26144 and 774.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 1.4962 times -1415\nAnswer: -2117.123","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -14916 - -28433. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is b in b**4\/10 - 38*b**3\/5 + 74*b**2\/5 = 0?\nAnswer: 0, 2, 74","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Divide -10308479 by -23.\nAnswer: 10308479\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2414*r**2 - 132*r + 938*r - 806*r.\nAnswer: 2414*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 766?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = -y**2. Let v(c) be the first derivative of 12 + 0*c - 1\/2*c**2. Determine v(p(m)).\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*x**4 + 8*x - 2*x - 8*x)*(-3 + 4 + 15).\nAnswer: 80*x**4 - 32*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -37 - ((3 - -7) + (-44 - -45)).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: (-9 - 8 - 4) + 62 + -7\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 4 - 106?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from uuxnnhhurwh. Give prob of picking 1 x, 1 n, and 1 r.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 33*o**2\/5 - 183*o\/5 - 216\/5 = 0. What is o?\nAnswer: -1, 72\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 3\/(12\/4) - 74. What is the units digit of (q + -1)*(-2)\/4?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, 2\/15, 7\/4, 2 in ascending order.\nAnswer: 2\/15, 7\/4, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 400\/(-18)*(104\/60 + (-40)\/30).\nAnswer: -80\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*s - 2*s - 3*l = 3, 2*l + 2 = -4*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -7320 + 4385*y + 7320 to l*y + b and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**(5\/6))**6\/(o**(8\/5)\/((o**(1\/9)\/o)\/o)) assuming o is positive.\nAnswer: o**(68\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (4 - (5 + -11)) + -7?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 7 + -7. Suppose o = 3*p + 3*x, 4*x = 2*p - 2 - 16. Is 2 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many days are there in 145046.943s?\nAnswer: 1.6787840625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 226089031?\nAnswer: 7, 32298433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -20021112211200 (base 3) to base 12\nAnswer: -114b339","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 17 and -35.7637144004?\nAnswer: 52.7637144004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j + 15 = -4*j - 3*g, -5*j - 5*g - 105 = 0. Let p = -24 - j. Let t be (-4)\/1 - (5 + 1056\/(-114)). Is p less than or equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = y**3 - 5*y**2 + 2*y + 2. Let n be p(3). Let r be (-106)\/n - (-14)\/35. Let m = r + -8. Is 3 at most as big as m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) be the first derivative of y**3\/3 + 7*y**2\/2 + y - 45. Determine v(-5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -m + 19680382 - 19680382 + m + 198*m**2.\nAnswer: 198*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -964, 232 in descending order.\nAnswer: 232, 5, -964","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*b**2 + b**2 - 4*b**2)*(3 - 2 - 3) + 3*b**2 + 3*b**2 - 5*b**2 + (170 + 21*b**2 - 170)*((-62 - 91 - 16)*(4 + 3 - 5) - 1 + 2 + 1).\nAnswer: -7053*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g**2\/4 - 37069*g + 148275\/4 = 0. What is g?\nAnswer: 1, 148275","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -17.5 - -18. Which is the closest to 1?  (a) -0.4  (b) n  (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 3087 + (2255\/(-495) - (0 - 12\/(-27))). Calculate the highest common factor of 46 and z.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2\/((49\/(-7))\/(-70)*24\/30).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w + 60 = h + 7*w, -48 = -h + w. Let g = -1615 - -1616. Which is bigger: g or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -654 = 2*o - 2*t - 2520, -t - 1861 = -2*o. List the prime factors of o.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = 67*q**2 + 6*q - 7. Let r(z) = -z**2 - 2*z. Determine -l(a) - 3*r(a).\nAnswer: -64*a**2 + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (10*w**2 - 97 + 97)*(10*w + 3 - 3).\nAnswer: 100*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Express 3 + 0 + p - 4 - 10 + 10 + 4*p - p + 1 - 1 + (p - 1 + 1)*(1 - 1 + 2) - 4*p - p + 6*p - 4 + p + 4 in the form d + x*p and give x.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 9*b**3 - 78*b**2 - 1863*b wrt b.\nAnswer: 54*b - 156","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 827.5 - 828. Sort -2\/11, j, 0.57 in decreasing order.\nAnswer: 0.57, -2\/11, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 10039.58729 rounded to the nearest ten?\nAnswer: 10040","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -5  (b) -4  (c) 0.18  (d) 1  (e) 397  (f) -0.4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = s**2 - s - 3. Let l be g(3). Calculate the least common multiple of 1\/(1\/(l*(-17)\/(-3))) and 3.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 42*c**2 - 42*c**2 + 6147741*c**3 + 3145002*c**3.\nAnswer: 9292743*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -43 - -93. Suppose 0 = -5*a - t + 92, 5*a = 3*t + 34 + z. Calculate the highest common factor of a and 198.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-5 - -23 - 20)\/34?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) be the third derivative of 7*q**4\/12 + q**2. Let l(b) be the third derivative of -b**4\/12 - 491*b**2. Calculate w(l(m)).\nAnswer: -28*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 7991*s**2 - 2*s - 24437.\nAnswer: 15982*s - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = -3*j + 6. Let c(l) = 2*l**2 - 2*l + 15087. Give c(v(q)).\nAnswer: 18*q**2 - 66*q + 15147","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-4)\/(-30))\/((-75998)\/175380).\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5703553?\nAnswer: 19, 300187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -430998 + 430998 + 30*m.\nAnswer: 30*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -63 - -62. Is s at least -5\/29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2747867427?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 119493993 to the nearest integer?\nAnswer: 10931","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2*g**3 - 6*g**3 + 5*g**3)*(218 + 267 - 74) to t*g + c*g**2 + w + d*g**3 and give d.\nAnswer: -1233","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*t**5\/3 + 120*t**4 - 7348*t**3\/3 - 11280*t**2 - 35344*t\/3 = 0.\nAnswer: -2, 0, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*w = -3*f, 26 = 2*w + 17*f - 21*f for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 35*t + 7350 = 38*t. What is the tens digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = -2*t**2 + 37*t + 18. Determine m(19).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 4 divided by 3156\nAnswer: 1\/789","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**(-4\/9)*c)\/c*c\/((c\/(c\/(c\/(c**(-2\/7)*c))*c))\/c*c) assuming c is positive.\nAnswer: c**(80\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 437 and 16215?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = -z + 2. Suppose 3*y - 13 - 35 = 0. Suppose 5*i = -0*i + 140. Suppose 7*m + i = -3*u + 3*m, -4*m = y. What is k(u)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify d\/d**(2\/7)*d**(3\/2) assuming d is positive.\nAnswer: d**(31\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is (1155 - 0\/(-3 - 3)) + -4 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1216 + 2316*j - 1157*j - 1162*j to the form a*j + p and give p.\nAnswer: 1216","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f\/(f**(1\/5)\/f))**(-2\/33)*(f\/((f\/f**(-2\/15))\/f))\/(f\/(f**(-2\/21)\/f)))**49 assuming f is positive.\nAnswer: f**(-721\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = q**2 - 7*q - 1. Suppose i + 5 - 6 = 0. Suppose 2*z - 13 = -i. What is v(z)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -9.2, -0.1, 1 in increasing order.\nAnswer: -9.2, -0.1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 4267 and 1757.\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xw when two letters picked without replacement from agwggjagaawwx?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 852, 849, 844, 837, 828?\nAnswer: 817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -91045, -91125, -91239, -91387, -91569, -91785?\n\"Answer: -17*u**2 - 29*u - 90999","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -29359.21 to the nearest ten.\nAnswer: -29360","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 4849745922 to the power of 1\/2, to the nearest integer?\nAnswer: 69640","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence mmim when four letters picked without replacement from immimimmmmmmmmimim.\nAnswer: 143\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t + f - 9 = -2*f, -t - 2 = 5*f. Let k(o) = -3 - 3*o**2 - 1 + o**3 + 2*o + 0*o**3 + 0*o**2. Let m be k(t). Which is smaller: 3 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = -14*h**2 - 4*h - 17. Let s(p) = -p**3 - 12*p**2 - 5*p - 28. Let r(l) = -3*a(l) + 2*s(l). Let d = -13 + 21. Is r(d) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -3\/4?  (a) 10  (b) -2\/17  (c) 0.803\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*g + 6 = 8*m - 6*m, -5*m + 15 = -4*g for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = s**2. Let v(q) be the third derivative of 0*q**3 + 0 + 0*q - 11*q**2 + 13\/24*q**4. Give v(k(f)).\nAnswer: 13*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -252*q**2 - 88*q + 52*q - 51*q**2 to the form u*q**2 + m + o*q and give u.\nAnswer: -303","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (3\/(-30))\/(2\/(-25)). Let f(d) be the third derivative of d**4\/24 - d**3\/3 + 3*d**2. Let k be f(3). What is the biggest value in k, -1\/2, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 32 is divided by (-3 + 8*-1)*-1?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + (4 + 2*sqrt(567)*4)*-4.\nAnswer: -288*sqrt(7) - 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 172634 and 535591.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 282 + 15 + 201 - 39 - 9*t.\nAnswer: -9*t + 459","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -13 + 12.9. Which is the third smallest value?  (a) -2\/13  (b) u  (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -14, -27, -46, -71, -102, -139?\nAnswer: -182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 5 - 10. Let r = b - -3. Let v be 0\/r - (-294 + 4). What is v rounded to the nearest 100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 19310952 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: Which is the fourth biggest value?  (a) -1\/2  (b) 3  (c) -36  (d) 5  (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -539, -536, -541, -554, -575, -604?\nAnswer: -641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put -16, -2\/7, 3\/374, -803 in descending order.\nAnswer: 3\/374, -2\/7, -16, -803","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 1\/(20 + -18 + (-108714)\/54358) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 62*t - 2059 = -18*t - 766 - 573 for t.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p + 150 = 4*g + 34, 0 = 4*g + 2*p - 120. What is the greatest common divisor of g and 280?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1220222002010 (base 3) in base 10?\nAnswer: 1022844","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = 9*m + 43. Let j be o(-6). Let i(w) = -w - 11. Let x be i(j). Let u(y) = 3*y - 25. Let q be u(11). Solve -n - 3*b + q = -x*b, -b = -n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 32884?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert -120021200 (base 4) to base 11.\nAnswer: -68350","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -5 + 5. Let q be 2*3\/(-36) + 218582\/84. Suppose g = -4*c + 4*i + 2604, 4*c + 0*i - q = 5*i. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p = 2*p - 84. Suppose -p = -5*l + 2*l. What is the smallest common multiple of l and (-6 + (-15)\/(-5))*-2?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 10\/25*(-9)\/6.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (7*g**2 + 3 - 5*g**2 + 8*g - 53*g + 2*g**3)*(-5*g + 6*g - 3*g) to the form i*g**3 + p*g + c + t*g**2 + j*g**4 and give j.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2 (base 12) to base 10.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -555, -1172, -1877, -2670?\nAnswer: -3551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:02 AM and 7:38 PM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -422\/9 or -48?\nAnswer: -422\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = 3*s**2 - 16*s + 11. Let h be r(16). Round h to the nearest one hundred.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from {t: 17, d: 3}.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) be the third derivative of y**5\/60 + 5*y**4\/24 + 5*y**3\/6 + y**2. Let q(i) = 3*i**2 - 2*i - 1. Calculate the least common multiple of q(2) and w(-7).\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = -1264*y**3 - 5*y**2 + 5. Let d(t) = 633*t**3 + 2*t**2 - 2. What is -5*d(z) - 2*h(z)?\nAnswer: -637*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 33 - 57. Let z = 27 + o. Find p such that -2\/5*p + 2\/5*p**z - 4\/5*p**2 + 4\/5 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 6.6 + -5.6. What is the second biggest value in -3, v, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -148*-2.8263\nAnswer: 418.2924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = -65*z**3 - 29*z**2 + 30*z + 13. Let n(d) = -32*d**3 - 16*d**2 + 16*d + 7. Let w(o) = 6*i(o) - 11*n(o). What is w(-1)?\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = y**2 - y - 1. Let h(q) = -3 + 6*q**2 - q**2 + 10*q + 3*q**2 - 13*q. Give -h(a) + 3*r(a).\nAnswer: -5*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: (2*(-2)\/(-6))\/(-6 - (-16)\/4)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 43430002 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (176\/110)\/(4\/(-10)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*v**4 - 2*v**4 + 7*v**3 + 2*v + 3*v**4 as i*v + k*v**2 + o*v**4 + n*v**3 + b and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -78462 = -11*x - 27367. What is the highest common factor of x and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 26 divide 18213?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 413 and 13553303?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Determine m, given that 2*m**2\/9 - 16*m\/3 + 88\/9 = 0.\nAnswer: 2, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 44623, 44640, 44681, 44758, 44883?\nAnswer: 45068","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let -3*c**4 + 20103*c**3 + 9*c**2 - 60315*c + 40206 = 0. What is c?\nAnswer: -2, 1, 6701","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = -2*k. Suppose 4*u + 14 = -2*s, 0 = -s + 2*u - 3. Let l(q) = 15*q**2 + 5. Let m(c) = -7*c**2 - 2. Let i(w) = s*m(w) - 2*l(w). What is i(v(b))?\nAnswer: 20*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 36*-46.899.\nAnswer: -1688.364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2 + 11 = -3*a, -3*h - 3*a = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 9 + (2 - (-45 + 59 - (-1 + 10))) - 54\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: (4 - 30 - -43) + -22\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9 = -3*k - g - 0, -4*g - 9 = -3*k. Let c(o) = -3 + 1 - o**2 + 5*o - 2. What is the units digit of c(k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*o + 50 = 5*w - 18*o, 0 = 5*w + 4*o - 5. Which is smaller: w or 144\/23?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*v**3 - 10194*v**2 - 308433*v - 298236.\nAnswer: 3*(v - 3428)*(v + 1)*(v + 29)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 3\/(-6)*(3 + -3). Solve -2*f + 3*w - 9 = c, 4*f + 2*w + 11 = w for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -273 + 476. Let b = 43 + g. Let p = -245.99999718 + b. Round p to 7 dps.\nAnswer: 0.0000028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 4.735151 micrometers?\nAnswer: 4735.151","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 4\/(-7)*(-10 - -3). Let c be 134890 - 3*(3 - y). Let s = -231893 + c. What is s rounded to the nearest ten thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: (((-15345)\/132)\/(-31))\/((-35)\/(-2))\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -4 + 49. Is 2\/(-10) + 954\/p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -22646898 - 0.6\nAnswer: -22646898.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence kg when two letters picked without replacement from ebbkbbgbb?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 19\/4 of a centimeter?\nAnswer: 47500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:15 AM and 8:37 AM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (8\/406)\/((-124)\/434)?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -167*p - 15 = -172*p. Suppose -p*r + 12*r = 945. Is r a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0 - -4. Let u = -28 + 23. What is the second biggest value in q, u, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = 5*r**2 - r - 1. Let w be v(-1). Let d(p) = -6*p + 5 - w. List the prime factors of d(-1).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = -s**2 + 7*s - 6. Let p be y(6). Let l be 18 - p\/(1 - -1). Suppose -3*t + t - l = 0. Let f(c) = 13*c - 2. Let m(h) = -6*h + 1. Give t*m(q) - 4*f(q).\nAnswer: 2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -43*f + 444 = -192 + 163 for f.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j = -17 - 16. Let g(k) = k**3 + 45*k**2 + 43*k + 22. Let c be g(-44). Calculate the greatest common factor of j and c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 273 and 567?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000022405924 to 7 decimal places.\nAnswer: -0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Put 9161, -3, 4, 0 in increasing order.\nAnswer: -3, 0, 4, 9161","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from zrzzzrrkzrc. What is prob of sequence zrrk?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -272 + 92 = -10*m. Suppose 2*r - 5*r + 18 = 0. Calculate the common denominator of 46\/9 and 33\/m + r\/(-3).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -6537\/14 + 467. Calculate the common denominator of f and 149\/84.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2277172700 rounded to the nearest 100000?\nAnswer: -2277200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -5 + 10. What is the units digit of 2*(-3 - -4)*u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 16 + -25. Let p be ((-15)\/v)\/((-2)\/(-6)). Suppose -p*o - l + 14 = -0*l, 2*o - 4*l + 12 = 0. Solve 2*z = -5*d + o + 6, 4 = z + 4*d for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -7*s + 13*s - 1086. Let b(x) = 3*x + 181 - s. Let w(c) = c. What is w(b(u))?\nAnswer: 3*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from gghghggmghghhh. Give prob of sequence hhmg.\nAnswer: 5\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -0.166 + 0.066. Put -8, v, -5 in ascending order.\nAnswer: -8, -5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2417 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = l. Let c be -2 + 0 + 2 - 1. Let j(i) = -i**3 - 4*i + 2. Let f(m) = c*j(m) - 4*w(m). Differentiate f(p) with respect to p.\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) be the third derivative of g**5\/30 - g**4\/3 + 4*g**3\/3 - 6*g**2. Factor d(h).\nAnswer: 2*(h - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) be the first derivative of -c**2 - 20*c + 9. Let q be r(-14). Suppose -3*f - 12 = -4*a, 1 = f + 3*a - q. Solve -3*p - 15 = -f*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -225*u**2 - 665*u + 30 = 0. Calculate u.\nAnswer: -3, 2\/45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (9 - 3) + -2 + -4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z - 17 = -8. Let t(c) = 9 + z - c - 9. Let d = 1 + -1. Calculate t(d).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) be the third derivative of 0 - 2\/315*y**7 + 1\/10*y**5 + 0*y**4 + 0*y**3 - 80*y**2 + 17\/180*y**6 + 0*y. What is p in s(p) = 0?\nAnswer: -1\/2, 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*j - 2*g = 18, -j - 5*g - 6 = -16 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = 9*b**3 + 17*b**2 + 7*b - 1. Let j(s) = 4*s**3 + 7*s**2 + 3*s. Determine 10*j(t) - 4*w(t).\nAnswer: 4*t**3 + 2*t**2 + 2*t + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -5 - -13. Suppose -2*a - 2*a = -w. Solve 0 = a*n + 3*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/13, 1\/300, 4, 24, 0.2.\nAnswer: 1\/300, 2\/13, 0.2, 4, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Total of 57697 and -0.91.\nAnswer: 57696.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = 13*a**3 + 2*a**2 - 1. What is the units digit of r(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 552595 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: Let u be (-2)\/8 - (-34)\/8. Let a(w) = -5*w**3 - 553*w**2 + 550*w + 3. Let x be a(1). Sort x, u, 5, 1 in descending order.\nAnswer: 5, u, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -14 - -16ee9e?\nAnswer: 16ee8a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -27 - -16. Let r(j) = -j**3 - 12*j**2 - 16*j - 7. Let s be r(i). Let n be 8\/2 - s\/(-3). Calculate the greatest common divisor of n and 220.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 6, 10, 0, -5, 19 in increasing order.\nAnswer: -5, 0, 6, 10, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Determine x so that -39*x**4 + 4068*x**3 + 29055*x**2 - 9324*x = 0.\nAnswer: -7, 0, 4\/13, 111","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 442927 - -1085884. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence iw when two letters picked without replacement from {i: 4, o: 1, w: 5}.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i\/i**(21\/5)*i\/i**(3\/5))\/(i**8)**13 assuming i is positive.\nAnswer: i**(-534\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -6*4\/(-80)*2\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -264323 or -264324?\nAnswer: -264324","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 553423615 divided by -5\nAnswer: -110684723","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = 2*t**3 + 3*t**2 - 9*t + 3. Let j(x) = -2*x**3 - 2*x**2 + 8*x - 2. Calculate -2*h(n) - 3*j(n).\nAnswer: 2*n**3 - 6*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand s**5 + 2*s**5 - 4*s**5 + (3*s**2 + 3*s**2 - 7*s**2)*(3*s**3 + 2*s**3 - 4*s**3) + 19659*s + 23*s**5 - 19891*s - 4*s**5.\nAnswer: 17*s**5 - 232*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -36 = 33*v - 102. Let z(n) = 7 - 8 + v - 6*n + 2 - 2. Let m(g) = -25*g + 4. Suppose 5*b - 3*b - 4 = 0. Calculate b*m(f) - 9*z(f).\nAnswer: 4*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-2)\/12 - (-94)\/(-12). Let l be (-66)\/q - (-5)\/(-20). Solve 3*m - m = l for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -19\/739767 and -47\/9.\nAnswer: 2219301","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 305 minutes before 6:15 PM?\nAnswer: 1:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = -2*j. Let o(f) be the first derivative of 2587*f**2\/2 + 2979. Determine y(o(u)).\nAnswer: -5174*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -r + 11 = 6 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 2  (b) 0.05  (c) -8.3  (d) 0  (e) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Convert -653666 (base 10) to base 5.\nAnswer: -131404131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*c + 6*f - 16 = 2*f, c + 3*f = -2. Suppose -c*h + 5 = 5. Factor -1\/3*d**4 + 3*d + h - d**2 - 5\/3*d**3.\nAnswer: -d*(d - 1)*(d + 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 45579909 to the nearest integer?\nAnswer: 357","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) be the third derivative of h**5\/60 + 11*h**4\/24 - 4*h**3\/3 + 3*h**2. What are the prime factors of g(-14)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m**(-21)*m**(-3\/23)\/m*m)\/(m**(-25)*m\/(m\/((m\/m**(-4\/7)*m)\/m)*m)*m) assuming m is positive.\nAnswer: m**(370\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = y**3 - 8*y**2 - 6*y - 23. Let i be g(9). Suppose i*w + 13 = 29. Solve 3*b - w*r - 8 = 0, -5*r = -2*b - 0*r + 17 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 7692*k**4 - 172*k**2 - 227385826 wrt k.\nAnswer: 30768*k**3 - 344*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*(sqrt(18) + sqrt(162)))\/(2*sqrt(36)\/sqrt(4) - sqrt(9)) - (sqrt(242)*4*-4 + sqrt(242) + 1)**2.\nAnswer: -54451 + 326*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 11125929149 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-1)\/4 - 135\/(-60). Find the first derivative of h + f*h + 5*h + 7 wrt h.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13*z - 2*z + 33 = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 1.20209, 0.2, 1\/28?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) be the third derivative of -u**6\/120 - 7*u**5\/60 - u**4\/8 - u**3\/3 + 4*u**2. What is the remainder when 56 is divided by s(-7)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 0.0328, 5, -0.2, -1279, 4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = -2*h**2 + 14*h - 5. Calculate y(9).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 (base 12) in base 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 220 = 5*m + 5*g, -6*m + 4*m - 4*g = -96. Calculate the remainder when 397 is divided by m.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {q: 6, t: 1, o: 2, i: 3, d: 6}. What is prob of sequence io?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -15433 (base 6) to base 5\nAnswer: -40131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a be -6900005 - 0 - 12\/(-4). Let y be (-4)\/(-20) - a\/(-10). What is y rounded to the nearest one hundred thousand?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 3*v**5 - 15*v**4 - 2*v**2 - 165 wrt v?\nAnswer: 180*v**2 - 360*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2168*k**2 - 60*k - 7?\nAnswer: -4336","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 83748 and 280?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 777996 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1272 and 3286?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is (-6)\/((5\/(-15))\/(2\/3))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((-15)\/(-4) - 3)*32. Suppose h = -2*h + q. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*b = -3*j - 0*b + 9, -2*b + 30 = 5*j. List the prime factors of (7 + 1)*(2 - 4\/j).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from {d: 1, u: 3, b: 1}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth smallest value in 2, -0.5, -0.1, 2\/3, -21, -133?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -a (base 16) in base 7?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = 5*a**2 - 2408*a + 179221. Determine y(92).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 12\/6*(-4)\/(-12)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 568 - 152. Is b a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) be the third derivative of w**6\/120 + w**4\/6 + w**3\/2 + 8*w**2 - 1. Let n(d) = 2*d**3 + 7*d + 5. What is 11*f(c) - 6*n(c)?\nAnswer: -c**3 + 2*c + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = -14*a + 11. Let p(i) = -3*i - 1. Let m be p(1). Let r(y) = -5*y + 4. Let q = 3 + 8. What is m*s(j) + q*r(j)?\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 3413, 3398, 3387, 3380, 3377, 3378?\n\"Answer: 2*y**2 - 21*y + 3432","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 493 minutes after 8:03 AM?\nAnswer: 4:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = -x - 1. Let n(i) = i. Let v(p) = -24*p - 6. Let l(q) = 15*n(q) + v(q). Let s(j) = l(j) - 6*y(j). Let t(a) = -3*a**2. Determine s(t(c)).\nAnswer: 9*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 28293409 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = 2*u**3 - 11*u**2 + 2*u + 19. Let t be f(5). What is the greatest common factor of 46 and t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 9, -2\/3, 5\/2 in decreasing order.\nAnswer: 9, 5\/2, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = -9*r + 5. Let p be o(11). Let t = -27 - p. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 6 + -6.3. Let k = d - -0.3. What is the smallest value in 0.4, k, 1\/4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -21b2b81 - -3?\nAnswer: -21b2b7c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j - 4*h = -6, 2*j - 7*h = -2*h - 11. Let v = 0 + j. Let x(g) = 2*g + 4*g**2 + 1 - 2*g**v - 3*g**2 + 0. Give x(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = 2*a + 7. Let w = -1 - -1. Let g = -635 + 640. Let o(s) = w + 9 - g - 5. Calculate k(q) + 5*o(q).\nAnswer: 2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3 + sqrt(27) + 1 + sqrt(27) + (3 + sqrt(15)\/sqrt(125))**2)*4.\nAnswer: 712\/25 + 144*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 6\/(-4)*-1*2. Let a = -1 + b. Let r be 6\/(-20) + 1\/a. Is r >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*o - 29 = -4*y, 5374*o - 5376*o - 2*y = -18 for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 3?  (a) 4  (b) -2\/3  (c) 0.6  (d) 97\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -42504486*v - 21231612 wrt v?\nAnswer: -42504486","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = z + 14. Give h(-15).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = h + 111. Let z be x(-30). Let u be -3 + (-270)\/z*(-198)\/(-10). Which is smaller: u or -68?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 10538125?\nAnswer: 5, 13, 1297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i = 4, 5*b - 10*b - i = -6221. What is the thousands digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 54 + -211\/4. Factor -l*h**3 + 1\/2*h - 1\/4*h**2 - 1\/2*h**4 + 0.\nAnswer: -h*(h + 1)*(h + 2)*(2*h - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -25 by 127.\nAnswer: -25\/127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 9435490 to the power of 1\/2, to the nearest integer?\nAnswer: 3072","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is eleven quarters of a litre in millilitres?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 65*r + 0 = -151*r - 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1467 = 5*m + 167. Suppose 4*t = m - 48. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2854531, 2854527, 2854519, 2854507, 2854491, 2854471, 2854447?\nAnswer: 2854419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -477*i - 49*i + 96*i.\nAnswer: -430*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -33*8\/(-12)*30*34\/(-2040).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i - 960 = -7340 - 2625. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = o**3 - 2*o**2 - 10*o + 14. Let l be n(4). Let j be (69\/(-18) + 4)\/(l\/(-8)). What is the nearest to 2 in 3, 0.2, j?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-4)\/3)\/(9\/27). Let k be (-48)\/(-12) - g\/(-2). Find p, given that 4\/11*p**3 + 0*p**4 + 0 + 0*p**k - 2\/11*p - 2\/11*p**5 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 297\/2, 5\/3, 1, 0.125, 4\/5 in decreasing order.\nAnswer: 297\/2, 5\/3, 1, 4\/5, 0.125","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (3\/38)\/(63 - 1638\/28).\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 21\/4 of a litre?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 3628472 plus 0.03?\nAnswer: 3628472.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 105 = 4*i - 183. Let a = i + -38. What is the highest common divisor of a and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = 1178*p - 293312. Give i(249).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*z = -9, -4*w + 2*z - 86 = -6*w. Calculate the remainder when w is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = -2*p + 4. Let i = -59 + 57. Let x be a(i). Let d = x - 3. Solve 0 = -g - n + 5*n - 21, g + d*n = 15 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-6193)\/77 - -77)*(-42)\/4.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*i + 6 = -24. Let p be (2\/i)\/(2\/12). Suppose 0 = -3*f + 5*m - p, 1 + 4 = 5*m. Solve 0 = -z - f for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (7 + 3 + -20 - (-11 + 0)) + 6 + 5.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 2 - -1. Let s(j) be the first derivative of -1\/4*j**2 + 1\/10*j**5 + 0*j + 1\/2*j**k - 3\/8*j**4 + 2. Factor s(v).\nAnswer: v*(v - 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 66 - 57. List the prime factors of k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = r**2 + 5*r + 4. Let w be d(-5). Suppose 9 = -f + w*f. Suppose -2*z = -f*p - 36, 3*p - 42 - 12 = -3*z. Does 9 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:25 PM and 5:28 PM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (12\/(-14))\/(20\/(-35)). Let n(m) be the first derivative of -2\/3*m**3 - 1\/2*m**4 + 2*m + k*m**2 - 1. Give n(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together 1.767 and -7182096.\nAnswer: -7182094.233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 2\/(-8) - (-2289)\/436. Let v(g) = 11*g - 12. Calculate v(o).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 122110030 (base 4) to base 5.\nAnswer: 11422123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -84 and 132477086?\nAnswer: 132477170","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 117017 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 16513 and 147.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 217 - 129. List the prime factors of h.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -104*12\/(-3192) - (24\/(-14) + 2)?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = -6*c**3 + 8*c**2 - 7*c - 11. Let u be r(-4). Let t = -519 + u. What is the smallest common multiple of t and 1?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4 + 2*sqrt(3))*1.\nAnswer: -4 + 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 474522 is divided by 14334?\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 v and 1 y when two letters picked without replacement from {v: 1, y: 1, l: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 841427?\nAnswer: 841427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = -q + 13. Let d be k(-10). Suppose 5*t - d = 4*t. Let o = t - 16. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 514 + -300. Let i = m + -122. Let x = 92.00442 - i. Round x to 3 decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 2\/11  (b) -464\/5241  (c) -2\/11  (d) -1  (e) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 1\/(-2 + (-2)\/(-4)). Let v be (-16)\/(-40)*15\/9. Let j = 1448 + -1444. Which is the third biggest value?  (a) o  (b) j  (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -75\/14490784 and -97\/8.\nAnswer: 14490784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*(4*(sqrt(2268) + -3) + sqrt(2268)))**2.\nAnswer: -8640*sqrt(7) + 227376","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = -y, -5*r - 4*y + 3 = -0*r. Suppose -2*z = 5*k - 3, k - 42 = -8*z + r*z. Is z greater than or equal to 10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 60072455*b + 29323472 with respect to b.\nAnswer: 60072455","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = -q**3 - 4*q**2 - 3*q + 2. Let r(d) = -d**3 - 5*d**2 - 3*d + 2. Let a(j) = 3*r(j) - 4*x(j). What is the tens digit of a(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = y**2 + 3*y - 7. Let g be q(-5). Suppose -12*s + g = -9*s. Solve -c + s - 5 = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*k + 4*c + 570, 2*k - c - 246 = -3*c. Let z = 141 - k. Let f be -2 + (-212)\/(-8) + -2. Is f at most as big as z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 4 + -2 + -1 - 124899*-1. Let b = 197878 + c. Suppose 0 = -3*k - 12, v - 4*k = 98794 - b. What is v rounded to the nearest 10000?\nAnswer: -220000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = -z**2 + 2*z - 4. Let t be h(3). Let k = 293 + -295. Which is the nearest to t?  (a) k  (b) -5  (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -200 + 277 - 21*p + 305 + 1165*p.\nAnswer: 1144*p + 382","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00556 litres in millilitres?\nAnswer: 5.56","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide 34545 by 1645.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((-1)\/(-3))\/(12\/(-36)). Let m be 265\/20 - c\/(-4). Find the second derivative of m*q**5 + 3*q + 0*q - 4*q - 4*q**5 wrt q.\nAnswer: 180*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3333 (base 4) in base 5?\nAnswer: -2010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ttmttltxmmclccumltml. Give prob of sequence mc.\nAnswer: 3\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -11268 times 5.8?\nAnswer: -65354.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*c - 2*v - 4 = 0, 2*c - 1 = -2*v - 5. Suppose c = 4*w - 12*w + 1936. What is the hundreds digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 99984197 to the nearest integer?\nAnswer: 9999","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(49)\/(sqrt(7) + sqrt(7) + sqrt(56)\/(sqrt(8) + (sqrt(32) - sqrt(8))))*4 + (6*sqrt(252)*2 - sqrt(252))**2 + -1 + (0 + sqrt(252) + sqrt(252))**2.\nAnswer: 8*sqrt(7)\/5 + 31499","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 68, 2\/5, -1896\/11 in descending order.\nAnswer: 68, 1, 2\/5, -1896\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = 7*x**3 + 8*x**2 - 12*x - 6. What is the remainder when 2253 is divided by h(2)?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*h - 5*h + 0*h + 4*h.\nAnswer: -3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 123\/12 + (0 - (-3)\/(-12)). Suppose -8*v = -a*v + 20. What is the greatest common divisor of 4 and v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 995719 is divided by 44?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 14147901.\nAnswer: 3, 1571989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve g = 2*t - 15, 358*g + 9*t = 353*g + 96 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 14456693.9 rounded to the nearest 10000?\nAnswer: 14460000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = 259*x**2 + 17*x - 6. Calculate the remainder when z(2) is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-1)\/(-5) + ((-2135)\/(-25))\/(-7) + 1\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -14580641*k**3 - 4*k - 3555961 wrt k.\nAnswer: -87483846*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 17 - 13. Suppose 5*s - 10 = w*k + 20, 0 = 5*s + 5*k - 75. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 22902 is divided by 2505?\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (16*q**2 + 21*q**2 - 24*q**2 + 4*q**2)*(-2*q**2 - 6*q**2 + 4*q**2).\nAnswer: -68*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 6*-4*1\/(-12). Sort -4, c, 4, -5.\nAnswer: -5, -4, c, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = 3 + 2 + 3*v**2 - 4*v**2 - 3*v - 3*v. Let m(f) = 2*f. Let b be m(-3). List the prime factors of n(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = 39*c**3 - 32*c**2 + 4*c + 2. Let k(b) = 196*b**3 - 161*b**2 + 22*b + 11. Let s(q) = 22*i(q) - 4*k(q). Find the third derivative of s(x) wrt x.\nAnswer: 444","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -12011 + -4?\nAnswer: -12015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -266105*z**3 + 133094*z**3 + 133124*z**3.\nAnswer: 113*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 19510 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*n + 10 = -m - m + 12, 7*n + 15 = 5*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 113 plus -1009?\nAnswer: -896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 10 a factor of 17361261?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.6 + -0.4. Which is the nearest to h?  (a) -0.4  (b) 2\/7  (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {g: 3, x: 15}. What is prob of sequence gxxx?\nAnswer: 91\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*b - 45 = -269. What is the greatest common divisor of 8 and b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = r**2 - 2*r + 7. Let i = 6 + -4. Suppose 3*c - 6*c + 5*t + 13 = 0, -t - 11 = -i*c. Is k(c) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = 2*i + 10. Let f(d) = -4*d - 25. Let h(x) = -2*f(x) - 5*w(x). Let p(q) = -335*q**2. Calculate h(p(a)).\nAnswer: 670*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 81 = 191*m + 2182 for m.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = -32*h**3 + h**2 + h - 1. Let r be x(1). Let w = r + 33. Put w, 4, 5, -5 in increasing order.\nAnswer: -5, w, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -8a + -1?\nAnswer: -8b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 714 and 763.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -7475*u**4 + 31082*u**2 wrt u?\nAnswer: -179400*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 43517 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h**2 - 9909048*h - 386446788 = 0. Calculate h.\nAnswer: -2477223, -39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 453*x + 15704 = -15076 + 2694 for x.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y + 57 = -4*g + 515, -324 = -2*y + 2*g. Let i be (y - -1)*2\/6. Let u = i - 21. Is u a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 770 and 17248?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.5 - 0.8. Suppose -11 = -5*p - 5*u + 4, -4*p - 2 = -3*u. Let w be ((p + 0)*-1)\/(92\/(-8)). Sort k, 4, w in increasing order.\nAnswer: k, w, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = -c**2 + 13*c + 2. What are the prime factors of n(8)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 2\/2 + (5 - 2). Suppose -r*f - 3*f = -56. Calculate the least common multiple of f and 3.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, 9, 3, 153, 4 in decreasing order.\nAnswer: 153, 9, 4, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = v. Let a(x) = 2*x**2. Let l be a(-1). Let i(f) = -3*f**2 + 0*f**2 - l*f**2. Give i(u(b)).\nAnswer: -5*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 61 a factor of 793?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.0462?  (a) -4  (b) 1\/3  (c) 3\/2  (d) 4  (e) -66\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = -23*s - 435. Let h be d(-18). Sort -14, 0, h in ascending order.\nAnswer: h, -14, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3 - 1 + 1)*(2*q**2 - q**4 - 2*q**2) - q**3 - 112*q**4 - 368*q**4 - 47*q**4 as c*q**3 + p*q + s*q**2 + w + t*q**4 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort -191, 736, 2446 in decreasing order.\nAnswer: 2446, 736, -191","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1076 divided by -3.\nAnswer: 1076\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 12108658*g**4 - 20482009 wrt g.\nAnswer: 48434632*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 153 or 150?\nAnswer: 153","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*(sqrt(704)*-2 + -3 - (sqrt(704) - (-3 + sqrt(704)))*-1).\nAnswer: 48*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 848*p + 11554 = 4995 + 16218 + 18325 for p.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Express 29 - 25 + 32*o - 22*o in the form d*o + s and give s.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -346*c - 39 = -333*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2 + 5*g**2 - 36*g**3 + 14*g**3 + 19*g**3 to x*g + l*g**3 + o*g**2 + t and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*m - 45 = -23*m. Suppose m*x = 3*v + 2*v - 5, 3*x = -v + 9. Suppose 0 = 4*p - 5*i - 0*i - 80, 0 = -v*p + 5*i + 55. Solve -3*t - 2*t - p = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2 - -14) + (-17 - -8) - (-54 + 1).\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2 - ((10 - 5) + 0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 18 - (27 - 11) - -5?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 3441310631 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-1)\/(-6) + 14 + (-316)\/24. Let n be (2 - (0 - -4)) + 11. Let d = -3 + n. Solve r - x = -d for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1 + 1. Suppose 116 + 164 = 14*g. Let s(a) = -33*a + g*a + a**2 + 14*a. Determine s(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 51\/(-78) + ((-4)\/8)\/(-1).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -848 by 6.\nAnswer: -424\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 368, 2783, 9304, 21983, 42872, 74023?\nAnswer: 117488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-1)\/2 - 145\/2. Let s = 75 + y. Let u(o) = -5*o - 60. Let f be u(-12). Does s = f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 352658 is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ffddfffffdff. What is prob of picking 3 f and 1 d?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 21563  (b) 3\/2  (c) -0.07\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2 + 15 - 15 + 21*w**2 - 15*w**2 + 2.\nAnswer: 6*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -67\/186 and 43\/3661?\nAnswer: 680946","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = -21*i + 1388. Calculate g(46).\nAnswer: 422","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5206190*-0.5.\nAnswer: -2603095","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.056?  (a) -18  (b) -3  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -12 divided by 1.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3 - 3 - 312*d + 3 - 3 - 2 + 212*d.\nAnswer: -100*d - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 2\/13, -2, 3, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*t = 3*t. Let w = 0 + t. Which is the third biggest value?  (a) w  (b) -0.4  (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 28 + -65 - (-11 + (31 - 17))\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 <= -8927\/34988?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -8834.04959 + 8834. What is l rounded to three dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.9 + 1.1. Which is smaller: -0.7 or m?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from qqqqqqqgqqqqqqqqqqqq. What is prob of sequence gqq?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.039?  (a) 2\/9  (b) -0.4  (c) 0.84\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 204 minutes after 2:00 AM?\nAnswer: 5:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*t + 6*f - 3*f - 6, 5*t - 4 = -2*f for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 35*j = 22*j + 1313. Let h = j - 611\/6. Which is greater: -0.01 or h?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -30 divided by 2\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 8078106, 16156223, 24234340, 32312457, 40390574, 48468691?\n\"Answer: 8078117*j - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 173230 + -2\nAnswer: 173228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 2\/(-5)*(-105)\/147. Is -15.3 not equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ddbdddbdd. Give prob of picking 1 b and 2 d.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*q = 8*q - 33200. What is the hundreds digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*c + 21 = -9. Let h(p) = 21*p**2 - 8*p - 13. Is h(c) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -933*h**6*w**2 - 1649*h**2*w**2 wrt h.\nAnswer: -111960*h**3*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (6 - 3)\/(21\/28). Solve -5*u - k*m = -16, 7*u - 4*m + 16 = 4*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = -4*c + 1. Let h(x) = -4 + 5 + 0 + 0 - 2. Determine 2*h(a) + z(a).\nAnswer: -4*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 96768479.7 rounded to the nearest one thousand?\nAnswer: 96768000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -45.63 * -4\nAnswer: 182.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 4726, 37463, 126314, 299335, 584582, 1010111, 1603978?\n\"Answer: 4676*u**3 + u**2 + 2*u + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-3)\/(-8)*(-4 + (-44)\/(-6)). Let j(m) be the first derivative of q*m**4 + 2*m**2 + 8 + 0*m**3 + 0*m. Find the second derivative of j(v) wrt v.\nAnswer: 30*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) be the third derivative of x**2 + 1\/6*x**3 + 0*x - 1\/48*x**5 - 1\/12*x**4 + 0. Factor b(l).\nAnswer: -(l + 2)*(5*l - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000781353 rounded to four dps?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = -4*h - 11. What is d(-15)?\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 60 in -0.038, -1204, -2\/3?\nAnswer: -0.038","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find v such that 566*v**5\/7 - 27164*v**4\/7 + 257904*v**3\/7 + 1885472*v**2\/7 - 4578080*v\/7 - 32448\/7 = 0.\nAnswer: -6, -2\/283, 2, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 520 minutes before 1:11 AM?\nAnswer: 4:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = -15*r. Let j(z) be the first derivative of -z**2\/2 + 10. Determine j(y(b)).\nAnswer: 15*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {e: 1, g: 1, v: 2, k: 2, l: 1}. What is prob of sequence vklv?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when ((-133)\/(-14))\/((-2)\/(-8)) is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -7 - (1 - -4 - (-5 + 9) - 13).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -249*x + 225*x. Solve h - 5*o + 27 = x, 4*o - 24 = 3*h + 2 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 711 - 430. Let u(j) = -p*j - 4 + 280*j + 4. Let h(t) = 4*t. Let c(l) = -2*l. Let i(f) = 5*c(f) + 3*h(f). Calculate u(i(n)).\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -6524500 rounded to the nearest 100000?\nAnswer: -6500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -17.32 - -4.225. Let a = 13.04 + -0.04. Let d = a + u. Round d to 2 decimal places.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -0.3, 2\/5, -0.08, 11?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 99 + -99.12. Let y = 63.62 + -63. Let t = y + a. Put 1, 0.1, t in descending order.\nAnswer: 1, t, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = 1 - 5 + 8*u + 4 + 1. Calculate g(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**(-2\/13)*(a\/((a*a*a\/(a\/(a**3\/a))*a)\/a*a))\/a*(a*a*(a\/a**(1\/7))\/a)\/(a\/(a\/(a*a**0))))\/(a**(-1\/12)\/(a**(2\/7)\/a))**(-2\/7) assuming a is positive.\nAnswer: a**(-15733\/3822)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 286 minutes after 2:30 AM?\nAnswer: 7:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p = -5*k - 1450, 266 = -2*k + 10*p - 206. Suppose 0 = -3*v + 4*v + 282. Which is greater: v or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = 58*d**2 + 12*d + 31. Is b(10) 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 16 and 114636?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z - 2 - 6 = 0. List the prime factors of 35 - (2 + -4 - z).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 75\/45 + (-98)\/(-6). Calculate the greatest common divisor of s and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1742 and 559093158.\nAnswer: 1742","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -12.6968571 take away 0.1?\nAnswer: -12.7968571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -962\/15 - -8498\/135. Find the common denominator of 147\/(-35) - 4\/6 and b.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 9 divide 127440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {d: 3, z: 5, b: 6, w: 1}. What is prob of sequence wd?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = y**2 + 24*y - 73. Let q be n(-28). Find the second derivative of 83*z**4 - 134*z**4 + 65*z**4 + q*z wrt z.\nAnswer: 168*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3 (base 6) to base 4\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z + 0*w - 2308 = 2*w, 6 = -3*w. Suppose 5*q + 3*y - z = 0, -2*y - 3*y - 488 = -3*q. Is q a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1043*c + 1980 = -911*c for c.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 398 minutes after 12:21 AM?\nAnswer: 6:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 39*(92\/24 - 4)\/((-3)\/384) is divided by 200?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum -6650083492 and 8455.\nAnswer: -6650075037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -0.2, -1667, -6, -3\/2, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -70 = -88*s + 86*s. Is 7 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.07 + 55067397995.477\nAnswer: 55067397995.407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from wotwlkootw. What is prob of picking 2 t and 2 w?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -13 or -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Determine l, given that -321*l**5\/7 - 19251*l**4\/7 + 20121*l**3\/7 - 549*l**2\/7 = 0.\nAnswer: -61, 0, 3\/107, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f = 6*f - 25. Let p = 65 + -62. Put 6, p, f in decreasing order.\nAnswer: 6, f, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (1*2\/(-5))\/(0 - 8\/40). Which is the nearest to x?  (a) -36  (b) -24  (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = 2068*u - 110. Let n(o) = -2*o**2. What is j(n(l))?\nAnswer: -4136*l**2 - 110","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 2  (b) -27  (c) -0.29  (d) 4\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -103*h + 91*h - 840. Find the common denominator of 67\/22 and 279\/h + 1 + (-9)\/(-45).\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 7\/4 of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1336965903.\nAnswer: 3, 7, 13, 1632437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s = 4*c - 17010, 18*c + 8498 = 20*c - 2*s. Calculate the greatest common factor of 168 and c.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 0.2488 from 74.\nAnswer: 73.7512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-9)\/(-18) - (-15)\/2. Suppose -2*a - 3*j = -5 - 6, 3*a = 4*j + m. Suppose -14 = -u - a*r, -2*u - 3*r = -50 + 7. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = a**2 + 21*a + 47. Let r be i(-19). Solve -3*z + 4*j = -2*z + r, -5*z + j - 7 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*((5 + 5 + sqrt(325) + 5 - (sqrt(1274) + (-1*sqrt(1274) - sqrt(1274)) + sqrt(1274))\/(sqrt(16)\/(2*sqrt(8)))) + -3)**2.\nAnswer: 360*sqrt(13) + 1407","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Divide 5 by 197.\nAnswer: 5\/197","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 77 - 75. Differentiate -4 - k*o**3 - 3*o**3 - 19 + 7*o**3 with respect to o.\nAnswer: 6*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = 38*v**2 - v - 1. Let t = 2 + 0. Suppose h - 3*w - 13 = 2*h, -2*h + t*w = -6. Is r(h) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*h - s - 1133 + 1127 = 0, -5*h + 4*s = -24 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -168, -332, -500, -672, -848, -1028?\nAnswer: -1212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1000 is divided by (740 - -10)\/10*(5 - 92\/20).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = w**2 + 524*w + 52522. Give k(-135).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = z**3 + 3*z**2 - 30*z - 10. Give q(-6).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 97 + -89.2. Let s = 17 - h. Let f = s - 9. What is the third smallest value in 0.4, f, -2\/7?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.3 - -0.658?\nAnswer: 0.358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 124 divided by 62?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 4458017?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 253570521\/14 - 18119895. Let r = x - -7710. Calculate the common denominator of r and -1\/4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = 2*f**3 - 2*f**2 - 3*f + 1. Let c be k(2). Suppose -c*i - 1 = -4*h - 3, -4*i - 4*h = -12. Solve -5*b - 6 = -i*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = -4*m + 11. What are the prime factors of j(-11)?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g**7\/(g**(3\/11)\/g))\/(g**4*g)**(10\/9))**(-15\/2) assuming g is positive.\nAnswer: g**(-1075\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-20 - 2*t - 2*t + 18)*(-2 + 2089*t + 9*t**2 - 2089*t).\nAnswer: -36*t**3 - 18*t**2 + 8*t + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -51 - -51.82. Let g = o + -0.8199999. What is g rounded to six decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 9\/5423 and -65\/1972.\nAnswer: 21692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 26.38 - 26. Let y = d - 69.38. Let w = y + 63. What is the third biggest value in -2, -1, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1271641.\nAnswer: 7, 389, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 13 a factor of 186251?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Add -0.8269 and 19940.94725.\nAnswer: 19940.12035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 12340, 12327, 12332, 12367, 12444, 12575?\n\"Answer: 2*b**3 - 3*b**2 - 18*b + 12359","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 - (-2 - -5 - 21) - (-2 + 5)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 117 + -117. Suppose 2*j + 0*j = 370. Suppose o = 26*x - 21*x - j. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 5\/(-40) - (9 + (-1610)\/80). What is the closest to u in -0.07, -2\/9, 1, 0.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3.065 times -49\nAnswer: -150.185","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = 38*s**2 + 2. Let u(b) = 5*b - 9. Let x(k) = 8*k - 15. Let i(p) = 5*u(p) - 3*x(p). What is n(i(r))?\nAnswer: 38*r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*u**5 - 25*u**4 + 83*u**3 - 24*u**2 - 36*u.\nAnswer: u*(u - 6)**2*(u - 1)*(2*u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1125 and 11325?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 114 times 3?\nAnswer: 342","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16*h - 54 = 43*h. Let q(o) = -171*o - 2. Let c be q(h). Calculate the highest common factor of c and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + (0 + -3*4*4*(sqrt(320) + 1*sqrt(320))*3)**2.\nAnswer: 26542079","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 64 a factor of 3945994?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = 6*n - 8. Let m be l(6). Suppose 5*t - 52 = -2*j, -3*j + 4 - m = -t. Solve -2*y - 5*p - 24 = -5*y, -t = -y + 3*p for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 23134698 and 139582?\nAnswer: 22995116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 277265, 554539, 831813, 1109087, 1386361?\nAnswer: 1663635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 10724, 21880, 33036?\n\"Answer: 11156*v - 432","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -261748, -2093885, -7066806, -16750903, -32716568, -56534193, -89774170?\nAnswer: -134006891","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -59 = 5*y - 4*l, -87 = -19*y + 10*y + 2*y - 5*l for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -5667 divided by 56679\nAnswer: -1889\/18893","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert 9.506062m to centimeters.\nAnswer: 950.6062","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 7543533?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1518 and 87439?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 3 - ((4 - 4) + -42). Let h be (18\/c)\/(2\/5). What is the hundreds digit of 310\/5*(h + 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = 487*n**2 + 757*n + 5367. Is l(-7) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -13885*b**2*s**4 + 1082632*b**2*s**2 + 3*b**2*s + 2*b*s**2 - 864*s**6 - 3 wrt s.\nAnswer: -333240*b**2*s - 103680*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Express 3480*b**3 - 1736*b**3 - 3*b - 78*b**2 + 4 - 1742*b**3 + 0*b as q*b + a*b**3 + p + f*b**2 and give f.\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = -4*q - 31. Let w(r) = -r - 1. Calculate v(p) - 5*w(p).\nAnswer: p - 26","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -15630530 or -265719000\/17?\nAnswer: -265719000\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = f**3 + 10*f**2 + 2*f + 23. Let o be p(-10). Solve -6 = -3*t + o for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1380.\nAnswer: 2, 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 61240.\nAnswer: 2, 5, 1531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2159304021 to the nearest integer?\nAnswer: 46468","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = -10*z**3 - 7*z**2 - 130. Let k(a) = -3*a**3 - 2*a**2 - 43. Give -4*h(p) + 14*k(p).\nAnswer: -2*p**3 - 82","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is -304 < -172?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = -4*f**2. Let o(l) = -l + 1. Suppose -5*g + 4*y = -20 + 4, 5*g - 21 = -y. Let d(t) = -6*t + 4. Let w(c) = g*o(c) - d(c). Determine w(u(b)).\nAnswer: -8*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1149551?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 2\/(-3) - 21\/36. Let j = 110524\/7 + -15871. Let l = j + 82. What is the nearest to -0.2 in 0.2, l, i?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 207 + -415\/2. Is c bigger than -48?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*t = t - 20. What is the remainder when 37 is divided by t?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 817877112?\nAnswer: 2, 3, 13, 139, 18859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 1315563*u**2 + 5964037*u?\nAnswer: 2631126","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -4 in 83, 2\/15, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {s: 3, q: 5, r: 1, x: 1}. What is prob of picking 1 s and 1 q?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-272)\/3740)\/((-4)\/(-30)*8\/(-8))?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (78\/4)\/((-7)\/98). Let p = v - -27. Let u = p + 344. What is the tens digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.4 times 5812241?\nAnswer: 2324896.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 674483 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -3502, -6715, -9644, -12289, -14650, -16727, -18520?\nAnswer: -20029","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -24*g + 14933 = 15053 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from awxnkxxxkxnx. Give prob of picking 1 w and 1 n.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or -173\/11154973?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 3\/(24\/(-10))*(-252)\/(-210)\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -288.9752 - 0.0248. Let d = 300.8 + f. Which is smaller: -4 or d?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 + 10 - 2*r**3 + 1)*(6*r**2 - r**2 - 2*r**2).\nAnswer: -6*r**5 + 39*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) be the second derivative of 0 + 0*l**2 + 59\/12*l**4 + 56*l + 0*l**3. Let v(f) = -f**2. Calculate v(a(g)).\nAnswer: -3481*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 273991 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 492 = 641*b - 600*b. Calculate the greatest common divisor of b and 900.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y + 1 = 3*n + 5, -n = 3*y - 17. Suppose -n*w - w = 0. Solve 5*c + 5 = w, -4*c - 6 - 2 = 4*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-13)\/((-13)\/2) + 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = c**2 - 9*c + 7. Determine b(12).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (8 + -9)\/(-1 - 2\/(-4)). Let p(i) = i**3 - 2*i**2 + 4*i - 5. Let z be p(l). Sort z, 10, -4 in ascending order.\nAnswer: -4, z, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = -2*h + 4. Suppose -6*i + i + b = -17, -i - b + 7 = h. What is the remainder when 14 is divided by i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -52022, -208084, -468224, -832472, -1300858, -1873412, -2550164?\n\"Answer: -5*n**3 - 52009*n**2 - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -329*n + 9243 = -1232*n - 8817 for n.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = 7*g**2 - 43*g - 43. Determine d(10).\nAnswer: 227","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4*(12\/8)\/(7\/42)?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 16 divide 297328896?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*l + 14*l + 60 = 0. Let f = l - -25. Which is bigger: 6 or f?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be -30*6\/42*-7. Let y(t) = -5*t + 153. Let d be y(r). Factor -8\/7*p**4 - 2\/7 + 2*p - 30\/7*p**2 + 26\/7*p**d.\nAnswer: -2*(p - 1)**3*(4*p - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 607 is divided by 88.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 134 is divided by 75?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 1 - 0. Let j be -126 + 123 + 4\/(-2). Which is the nearest to g?  (a) 1\/4  (b) j  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.4 and -834694?\nAnswer: -333877.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 405853?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 7108, 14260, 21408, 28546, 35668, 42768, 49840?\n\"Answer: -h**3 + 4*h**2 + 7147*h - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -44*2*((-34)\/(-51))\/((-5)\/((-45)\/(-12))).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 r and 1 x when two letters picked without replacement from mpxyrppp?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*z**2 + 20*z**2 + 18*z**2.\nAnswer: 33*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Express 4797 - 4797 - 43*h + 2*h - 3 + 3 + (1 + 0 - 2)*(0*h - h + 0*h) as j + c*h and give c.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 74398 - 50624. Does 68 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-12)\/3 - -7) + 3. Suppose i + 4 = -z. Let p = i + 45. What is the tens digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 40 + -13. Let s be (4\/(-6))\/((-23)\/7107). Let u = s - 197. Calculate the highest common divisor of u and y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 37*r + 4439 + 2011 = -137*r + 45*r for r.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 413759 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (37 - 27472\/748)*(0 - 33\/(-2))?\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + 2*sqrt(448) + 5 + -2*sqrt(448)*-2 + 0.\nAnswer: 5 + 48*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + (sqrt(252) + 2*sqrt(252) + 4 - (sqrt(252) + 2 + -4))*3*3.\nAnswer: 54 + 108*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -1 + -3022030?\nAnswer: -3022031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**(-1\/3)\/(a**(8\/3)\/a*a))\/(a**(1\/4))**10 assuming a is positive.\nAnswer: a**(-11\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 89*d - 156*d - 406 = 136*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = 52*c. Let v(q) be the second derivative of q**3 + 378*q. Determine j(v(d)).\nAnswer: 312*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -273 + 276 - (-5 + 1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-132)\/198 - 38\/(-3).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 71 a factor of 284?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -t**3\/3 + 107*t**2\/3 = 0.\nAnswer: 0, 107","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 1830 and 13759404.\nAnswer: 68797020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = -926401321*s. Let m(z) = -2*z. What is u(m(q))?\nAnswer: 1852802642*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -79\/16 and (39\/1170)\/(6\/202)?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is one quarter of a minute in seconds?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 651*h - 659*h + 24 = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k + 12 = 3*k. Suppose 0 = 3*f - 2*g - 22, f - 37 = -k*f - 5*g. Solve -j - j = f for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 7*o**2 + 2*o**2 - 6*o**2 + (2 - 2 + o)*(218*o - 114*o + 185*o).\nAnswer: 292*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 8 - (0 + 12 + -11).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 172 minutes before 4:24 PM?\nAnswer: 1:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = 41*i**2 - 19*i - 79. Let m be p(-6). Suppose o + 1509 = m. Solve o*k - g + 3 = 10, -3*g - 15 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 119904462?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (11\/(-2) - 2)\/((-12)\/(-82)). Let x = 623\/12 + w. Factor 0 - 1\/3*g - 1\/3*g**3 + x*g**2.\nAnswer: -g*(g - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -40048 - -126786. List the prime factors of k.\nAnswer: 2, 31, 1399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.3?  (a) 3\/4  (b) -4  (c) -5  (d) 0.03\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1382129 - 4*y**2 - 1382129.\nAnswer: -4*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-26)\/10 + 5 + (-2 - 0). Factor -2\/5*f**2 + 4\/5*f + 0 - v*f**3.\nAnswer: -2*f*(f - 1)*(f + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -11*t**2 - 29*t + 57*t - 28*t.\nAnswer: -11*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {w: 7, q: 4}. Give prob of picking 1 q and 2 w.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4983*h = -2*p + p + 4988*h + 22, p - 12*h = 22 for p.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 5\/4 of a millennium in months?\nAnswer: 15000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 1288, 1295, 1314, 1351, 1412, 1503, 1630, 1799?\n\"Answer: c**3 + 1287","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k = 6 - 4. Find the second derivative of 34*s - 25*s + k*s**4 - 3*s**4 + 3*s**4 wrt s.\nAnswer: 24*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2558969814.\nAnswer: 2, 3, 10531, 40499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -3?  (a) 4  (b) 12  (c) -0.4  (d) -0.45\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = -5*i**3 + 2*i**2 - 3*i + 1. Let b(r) = -6*r**3 + 2*r**2 - 4*r + 2. Suppose 0*v = -2*v + 8. What is v*a(y) - 3*b(y)?\nAnswer: -2*y**3 + 2*y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l - 4 = -3*w - 3, -w + 1 = 0. Let o be 5\/(l - -4 - 5). Solve -5*q = -3*b - 13, 0*b + 15 = o*q - 5*b for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.4 times 627\nAnswer: 250.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 445 minutes before 11:36 AM?\nAnswer: 4:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 8, -3, 4, 14.2, -4?\nAnswer: 14.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in -2\/9, -2\/31, -6\/5, 3?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = x. Suppose -2*k + 5*k - 256902 = 0. Let p(o) = -24*o**2 + k*o - 85634*o. Determine p(j(i)).\nAnswer: -24*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 6 - 12 - (-1 - (-3 + 5)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 29982764 and 272?\nAnswer: 119931056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -491*z**3 - 2*z - 447*z**3 + 944*z**3.\nAnswer: 6*z**3 - 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:38 PM and 2:20 PM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*p - 3*p + 7*p)*(39*p - 43*p - 43*p)*(-1 + 2 - 2).\nAnswer: 423*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -19*r + 235 - 7 = 0. Let a be 0*((-8)\/r - (-21)\/18). Solve 0 = 2*j - 2*c - a*c, -4*j = -c - 15 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -808 - 798 + 2406 - 799 - 26853*y.\nAnswer: -26853*y + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12*q**4 - 540*q**3 + 4851*q**2 + 28812*q = 0 for q.\nAnswer: -4, 0, 49\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -69 - 1 = -2*c. Let m = 21 - c. Let k = -12 - m. Solve 4 = z + k for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -1\/311 - -314\/933. Let a = -6 + 4. Put a, 1, r in decreasing order.\nAnswer: 1, r, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-4)\/(-3))\/(6\/(-270)*-6). Let t(f) = -3*f + 39. Let h be t(u). Is h <= 10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b\/b**(-4\/15))\/(b**(3\/7)\/b*b*b)*(b*b**20*b)\/(((b\/(b**(-3\/7)\/b))\/b)\/b*b) assuming b is positive.\nAnswer: b**(2143\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -4.16 in 0.2, -2, 2, -0.096, -1\/5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 17483192 divided by -920168?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-2)\/(-5))\/(((-120)\/(-50))\/6).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 15.85 + 859.\nAnswer: 874.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*w = 5*c + 51 - 13, 2*w + 4*c = 6. Solve -w*p = -2*p - 20 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f - 11 - 11 = 0. Let q(u) = 5*u - 4*u + 6*u + 46 - 58. Is q(f) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 240 and 7823355?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (0 + 5 - (-2 + 5 - -6)) + -6?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 32  (b) 3  (c) -0.2  (d) -0.002  (e) -2  (f) -2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 6 a factor of 836?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -251 - -358. What are the prime factors of g?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = -v**2 + 2*v - 2. Let d = 41 + -37. Suppose i - 4*f = 6, 0*i = d*i + 2*f - 6. Let z(q) = -6*q**2 + 11*q - 10. Let x = -76 + 65. Give i*z(y) + x*l(y).\nAnswer: -y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 4 - 1. Let d(b) = 4*b**2 - 5*b**2 - 2 - 19*b**3 + b + q. Let z be d(-1). Calculate the greatest common divisor of z and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 65789 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2851989 is divided by 468?\nAnswer: 465","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in 38, 28\/135, 5, 2\/3, -31\/8?\nAnswer: 28\/135","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.9 + 1.1. What is the biggest value in m, 1\/4, 0.05?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 + (192 + -21)*1\/9?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 336827074 to the power of 1\/2, to the nearest integer?\nAnswer: 18353","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*q + 102 = -3*b, 2*q - 2*b - 78 + 26 = 0. Let c(y) = 10*y + 6. Let z be c(5). Let n = 92 - z. Calculate the highest common factor of n and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*r - 166 - 172 + 384.\nAnswer: -2*r + 46","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -6, -22, -44, -72, -106, -146, -192?\n\"Answer: -3*o**2 - 7*o + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 12729\/13 - 979. Sort n, 0.5, 85 in increasing order.\nAnswer: n, 0.5, 85","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2447320 is divided by 153?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d + 16 = -2*d. Find the common denominator of -41\/2 and 138\/16 - (3 + d).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = 27893*a - 74. Let n be i(18). What is n rounded to the nearest 100000?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -238*b**3 + 239*b**3 + 5 - 20*b**4 - 20*b**4 to the form k*b**2 + t*b**3 + l*b + i + g*b**4 and give i.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*j + 2*j = 12. Let v be ((-3)\/(j\/4))\/1. Suppose -v*z - 2*o = 0, 2*z + 0*o = o. Solve h + 2 = 3*n - 6, 3*n - 4*h - 23 = z for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -22*t + 3411 + 387 = 189*t for t.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s\/((s\/((s*s**(-17))\/s))\/s))\/(s\/(s*s**(-6\/7)\/s*s)) assuming s is positive.\nAnswer: s**(-118\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3.2*-6193699.\nAnswer: -19819836.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1276, -2455, -3552, -4555, -5452, -6231, -6880?\nAnswer: -7387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -65\/513 and -37\/442206.\nAnswer: 442206","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) be the first derivative of -y**7\/210 - y**4\/4 + y**2\/2 + 1. Let n(u) be the second derivative of z(u). Find the second derivative of n(k) wrt k.\nAnswer: -12*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/15 in -1\/4, -4, 2\/7, -3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) be the second derivative of -u**3\/6 - 4*u**2 + 2*u - 1. Calculate the remainder when 19 is divided by p(-16).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 3301 - 3304. What is the third biggest value in -7, 1\/2, w?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -100*o + 288 = -57*o - 61*o for o.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*s + 4*s + 9. Suppose -86*g + 90*g = -48. Let o be (6\/(-4))\/(s\/g). What is the smallest value in -2\/5, o, 1\/5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*((4*(-3*sqrt(128) + sqrt(128)))**2 - sqrt(128)).\nAnswer: -8192 + 8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 40 and 170.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -3802, -7653, -11552, -15499?\n\"Answer: -24*n**2 - 3779*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 100*g**4 + 88*g**4 - 247*g**4 + (-5*g + g + 2*g)*(5 - 5 - 2*g**3) to u*g**3 + h + r*g**2 + f*g + m*g**4 and give m.\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2611*d - 34981*d - 44852*d.\nAnswer: -77222*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*l - 14 = -4*n, 16*l - 4 = 14*l - 2*n for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is -1372987\/18 bigger than -76277?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 10 + 1 + -13 + 0 + 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 6685?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 2736\/(-3192)*(-35)\/(-225)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"}
{"text":"Question: Let c = -0.2891362 - -0.29193. What is c rounded to 4 decimal places?\nAnswer: 0.0028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -0.3, -5\/249.\nAnswer: -5, -0.3, -5\/249","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*(sqrt(60)\/sqrt(588))**2.\nAnswer: 15\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0171370486 rounded to 5 decimal places?\nAnswer: -0.01714","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Factor z**2 + 95900*z + 2299202500.\nAnswer: (z + 47950)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 4090178003 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-9)\/(-5))\/((-54)\/(-180)) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) be the second derivative of -3*n**5\/20 - n**2\/2 - 4*n. Let y be w(-1). What is the third biggest value in 0, y, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -7.6 + 7.659. Let w = 1.3 - 1.37. Let m = o + w. Round m to 2 decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve k - h - 13 = 0, 886378*k + 3*h = 886383*k - 59 for k.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 6, -3\/13, -2\/11 in increasing order.\nAnswer: -3\/13, -2\/11, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = -33*c - 39. Does 3 divide a(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 371 = 9*x - 25. Is x\/(-330) + (-19772)\/(-15) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1217 is divided by 303.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 691 minutes before 3:58 PM?\nAnswer: 4:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -11 - -23. Suppose -d = 3*p - 22, -4*p - d + v = -16. Let y(t) = -t**2 + 7*t + 9. Let o be y(8). Which is smaller: p or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -3736 + 3866. What is the greatest common divisor of k and 598?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) be the first derivative of 3*j**4\/2 - 17*j**3\/3 - 13*j**2\/2 + 10*j - 94. Let g(i) = 0. What is i?\nAnswer: -1, 1\/2, 10\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5699?\nAnswer: 41, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) be the third derivative of 5*w**4\/24 + 5*w**3\/2 + 58*w**2. Let z(k) = -3*k - 8. Calculate 4*i(n) + 7*z(n).\nAnswer: -n + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 221, 229, 243, 263, 289, 321?\nAnswer: 359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/4?  (a) 3\/8  (b) 3  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.30056226 + 12577.19246226. Let x = -12577.012899846 + u. Let p = x + 0.121. Round p to 7 dps.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -0.2 from -1402.\nAnswer: -1401.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 211755 is divided by 52921.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 26*z - z - 3650 = 0. Which is bigger: z or 2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 61*m + 2 + 217*m + 61*m - 6*m + 74*m as s*m + t and give s.\nAnswer: 407","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (15 - 15 + 3*b**2)*(-3*b + 0*b + 4*b)*(4*b - 5*b + 2*b).\nAnswer: 3*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 20*q - 373 = -751 - 42 for q.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -10*f**2 + 3*f - 3*f - 294*f**2 - 64*f**2 to the form u*f**2 + x + o*f and give u.\nAnswer: -368","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = z**2 + z - 47. What is the remainder when 196 is divided by b(8)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -22.67 + 22.17. Which is the third smallest value?  (a) -1\/3  (b) -1  (c) t  (d) -4  (e) -23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-30 - -3) + 34 - -2*1?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = -f**2 - 6*f + 7. What is h(-5)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -121\/230 and 17\/14?\nAnswer: 1610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 3\/50 of a kilometer?\nAnswer: 6000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -48*c + c + 979527. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-56*z - 220 + 0*z + 222)*(3*z + 2*z - 7*z) to y*z**2 + n*z + g and give n.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 28\/(-40)*(-18)\/(-63)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (3 - 2) + (-18)\/(-1). Suppose 4*i + 3*w - 15 - 2 = 0, 0 = 5*i - 4*w - 60. Let s = g - i. What are the prime factors of s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 + (2 - (-7 + 16) - 3).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = 4*u**2. Let k be t(-1). Suppose k*a - 490 = -a. Is a a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 10*d + 0*d + 5*d - 2*d in the form y*d + q and give y.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 101 minutes after 11:03 PM?\nAnswer: 12:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -13 in -0.1, -4, 5, -0.2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 271 is divided by 194?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2314*l + 2309*l = -2*n + 81, -48 = -n + 3*l for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"}
{"text":"Question: What is 677 minutes after 10:18 AM?\nAnswer: 9:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 96 = 9*q - 120. Suppose 5*o + 5*p = 170, -q*p + 25*p - 64 = -2*o. Let n = 3 + 9. What is the remainder when o is divided by n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l**(-1))**20)**(-41) assuming l is positive.\nAnswer: l**820","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*w + 125 = -10*w + 11*l, 149 = 4*w - 3*l. Solve w + 12 = -10*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 5, 4, 1, 59?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -5086*d**6*s - 4*d**3*s + 14*d**2*s - 10421*d**2 + 6*d*s wrt d.\nAnswer: -610320*d**3*s - 24*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1170\/18*(-6 + 4 + 13) is divided by 24?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 26260 + -26165. Solve a*d - 81*d - 28 = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + sqrt(33)\/(sqrt(6)\/sqrt(2)) + 5.\nAnswer: sqrt(11) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1017?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -26, -47, -74, -101, -122, -131, -122, -89?\n\"Answer: j**3 - 9*j**2 - j - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -93 or -91?\nAnswer: -93","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ccwyabcbbbcvb. Give prob of sequence ba.\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-21)\/84)\/(-3*(-1)\/12)*-26.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -2 - 102b1?\nAnswer: -102b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 11cc (base 16) to base 11\nAnswer: 3472","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n - 9*v + 4*v - 216 = 0, 2*v - 776 = 4*n. Let t = 829 - n. What is the hundreds digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = -o**3 + 2*o**2 + 5*o - 3. Let a be n(3). Suppose 32 = -i - a*i. Let u(z) = 2*z**2 - 2*z - 2. Let g be u(2). What is the biggest value in i, 0, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) be the first derivative of 0*s - 12 - 9\/2*s**2 - 1\/3*s**4 - 1\/15*s**5 + 0*s**3. Let y(b) be the second derivative of m(b). Solve y(v) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -146133 + 146133 + 19*m.\nAnswer: 19*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = 7*x - 36. Let g be w(7). Which is bigger: 12 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1 = -9*f + 46 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = 1194*v**2 - 7*v - 13. Is t(3) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 33\/16 and -15\/164?\nAnswer: 656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-22 - 0) + (124 - (-104 + 189)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {j: 16, c: 2}. Give prob of sequence cj.\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*h - 0 + 20. Let o = h + -4. Suppose -8*t + o*t = -64. Is t a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(90)\/(sqrt(10) + (sqrt(10)*-1 - sqrt(10))))\/((sqrt(324)\/sqrt(9) + sqrt(36))\/sqrt(12)).\nAnswer: -sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*f - 0*f - 4*d - 730, f - 5*d - 356 = 0. Suppose -9*h + 2*h + f = 0. What is the tens digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 7009247 to the nearest integer?\nAnswer: 2647","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 314 a factor of 351860448?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -8a48a (base 11) to base 8\nAnswer: -377714","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -83*h + 414*h**2 + 46*h - 15*h**2 + 37*h.\nAnswer: 399*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-11)\/(-2) + (-3)\/2. Suppose -5*r - 1 = q. Is (r\/2)\/((-8)\/2224) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 4 + -17. Let m = -3.123 - -3.623. What is the second smallest value in -1\/3, m, i, -2\/11?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -2 - -1.6. Let h(j) = -j + 12. Let m be h(7). What is the closest to -1 in -0.1, l, m?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -11565662 take away 60.795?\nAnswer: -11565722.795","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -107 + c**2 + 107 + 2*c**2.\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 g and 1 l when two letters picked without replacement from fgnnnlnlgl.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 542?\nAnswer: 2, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 63, 5 in decreasing order.\nAnswer: 63, 5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -106 = -5*u + a, 7*u - 2*u - 108 = 3*a. Suppose 5*j = z + 8, 3*j + 6 - u = 4*z. Is (1 - 2)\/(z\/93) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 1190470*p**3 - p - 1042655?\nAnswer: 7142820*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*q + 4*d + 4786, 0 = 26*q - 24*q + 2*d + 3194. Are q and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 0.1, -649.\nAnswer: -649, 0.1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = p**2 + 12*p - 11. Let i(a) = 8*a + 3. Let k be i(-2). Let d be v(k). Let b be d*(1 + 0 - 5). Which is bigger: -9 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 10 + -7 - 17 - (-5 - -2 - 0)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 9, -1812, -2, 2, 8, -5 in increasing order.\nAnswer: -1812, -5, -2, 2, 8, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -31 - -22 - ((-21 - 4) + (-3 - 1)).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j*j\/(j\/(j*j*j\/j**0))*j*j*j)**(-1\/38)*j*j*j*j**(-1\/8)*j*j**(1\/5)*j)**(-11\/4) assuming j is positive.\nAnswer: j**(-40887\/3040)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 - 3 - 2 - 1 - 2 + 1 + (3 - 3 + 1)*(-2 - 4 + 4) + 1 - 2 + 0)*(-9 - n + 5 + 3) - 68 - 5*n + 68.\nAnswer: n + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0004435305 to 4 dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/25 of a litre in millilitres?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-6)\/20118*((-27)\/(-15) - 2). Let l = r + 1173523\/452655. Find the common denominator of l and -34\/33.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {q: 9, n: 2, m: 6}. Give prob of sequence qq.\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = 5*d**2. Suppose 2*h + o - 10 = -2*o, 2*h - 5*o = -6. Let k(y) = 16*y**2 + 1. Calculate h*k(m) - 7*t(m).\nAnswer: -3*m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11 = 2*l - 61. Does 5 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f = 5*f - 24. Suppose 7*s - 6*s - 3 = 0. Solve -m + s*m - n + f = 0, 0 = -n - 4 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -f**3 - 4041 + 4041.\nAnswer: -f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: (3 + -1)\/((11 - 1313\/117)\/(-1))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 493*r + 313*r**2 - 1558*r - 310*r**2 to the form t*r**2 + g*r + p and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 2921 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -7912, -31808, -71630, -127372, -199028?\nAnswer: -286592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = 5*i + 4*i - 1 + 6*i + i**2 - 7*i. Calculate j(-10).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = 57*v - 55. Let r be j(1). Let c(s) = -195*s + 9. Let f be c(-4). Let t(k) = -k**r - 788 + f - 8*k**3 - k**2. What is t(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v**5 - 27*v**4 - 87*v**3 - 117*v**2 - 54*v = 0. What is v?\nAnswer: -3, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 61334 is divided by 82.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u = -u + 2*z + 128, 27 = u - 3*z. Calculate the highest common factor of u and 363.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = -11*b - b + 34*b - 9*b - 4*b. Suppose r + g = 0, -3*r = -2*g + 10 + 5. Let v(k) = -5*k. What is r*p(y) - 5*v(y)?\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*m + 47*p - 84 = 22*p + p, 0 = -3*p for m.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 230*k - 234*k = -4*p + 24, 7*p = 5*k + 34 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence yo when two letters picked without replacement from {b: 1, p: 2, y: 2, o: 7, e: 8}?\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2517 is divided by 63?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (4\/30 + (-3038)\/(-840))*40. Which is smaller: 153 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -14*l + 15*l - 6. Let w(b) = b**2 - 6*b - 3. Let o be w(l). Is o < -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 9307226?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 2\/4*96\/(-8). Let n(g) = -2*g - 8. Let k be n(v). Suppose -5*p = k*w - 70, 0 = 2*w - 0*w. Is 12 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -130558*t**3*v - t**2*v - 35*t*v + 17*t - 23*v - 1 wrt t.\nAnswer: -783348*t*v - 2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is (-4)\/((-207)\/12*504\/(-189))?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**0)**50\/(v\/v**(-2\/5))**(-3\/29) assuming v is positive.\nAnswer: v**(21\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) be the third derivative of -20*g**2 + 2*g - 27\/32*g**4 - 13\/8*g**3 + 0 - 1\/40*g**5. Factor x(p).\nAnswer: -3*(p + 13)*(2*p + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -5 - -8. Let j be a*(-6)\/9 + -1. Let m be (-15)\/(j\/(-1 - -4)). Calculate the greatest common factor of m and 60.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = -89*x + 4611. What is m(52)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 25 = 103*c + 128 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m be -165*(-50)\/(-50)*(-278)\/(-6). Is -7645 at most m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -82396.0033729 take away -134?\nAnswer: -82262.0033729","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 40 + -4?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in 317, 4, 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = -v + 9. Let j be n(7). Let r be -5*(2 + 36\/(-10)). Solve -r = -j*h - 4 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -0.3 - -0.38. Let y = 187.08 + -186. Let q = v - y. Which is the nearest to q?  (a) -2\/9  (b) 0.2  (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (0 + 6)\/(-2 + 4). Suppose 4*i - 18 = m, -3*i + 5*m + 8 = k. Solve 4*q + i = 17 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 + (1 - (-10 - 2)) - 26.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-42)\/(-315)*60 + (-6 - 2). Put -2, 3933, y in descending order.\nAnswer: 3933, y, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-232)\/48)\/(-29)*4.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d - 4*r = -9*r - 55, d + r = 13. Let x = 16 - d. What is the remainder when 0 - (x + 3 - 86) is divided by 28?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = -x**2 - 17*x + 161. Determine g(-24).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*k - 2*z - 8860 = 24748, 4*z - 8384 = -k. What is k rounded to the nearest 1000?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -25655.6321 rounded to the nearest integer?\nAnswer: -25656","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = -3*q - 27. Let z be x(-10). Solve z*f + 2*f + 10 = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 208\/339 or -0.2?\nAnswer: 208\/339","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 at most 113\/59?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*a - 688*k = -685*k - 12, -11*a = -4*k + 41 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -27 + -0.97883046?\nAnswer: -27.97883046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-2)\/(12\/381) + 5\/10. Let j = -59 - k. Suppose 5*o - 15 = 4*o + j*a, -4*o - 40 = 4*a. Let u(g) = 2*g + 5. Determine u(o).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 38576466541 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-539)\/66 - 1\/(-6). Let d(c) be the third derivative of -c**6\/120 - 7*c**5\/60 - 7*c**4\/24 + 3*c**3\/2 + 10*c**2. What are the prime factors of d(n)?\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -3609 + 25217\/7. Let q(o) = -18*o**3 - o**2 + 2*o - 1. Let g be q(1). Find the common denominator of u and (0 - 2) + 82\/g.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4258486219.\nAnswer: 13, 327575863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -12 + -134234?\nAnswer: -134301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = -2*p + 10. Let q be r(3). Suppose -18*n + 784 = -q*n. Calculate the greatest common factor of 8 and n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from pspt.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is -311269 smaller than -0.04?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -11011001 (base 2) in base 15?\nAnswer: -e7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence llg when three letters picked without replacement from {g: 2, s: 1, w: 9, l: 6}?\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = -6*u + 7. Let b be f(3). Let l = 16 + b. Solve 0 = -0*n - l*n - 10 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 63 - 0. What is the greatest common factor of 7 and n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum 27.731 and 19.03.\nAnswer: 46.761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: (-21*(-22)\/1617)\/(5\/21)\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -25 + 30. Let q(i) = 0*i**2 + 4*i**2 + 1722 - 1728. Let f(t) = -5*t**2 + 7. Give m*f(r) + 6*q(r).\nAnswer: -r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = -g - 1. Suppose -d - 12 = 2*d. Is 3 a factor of f(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*s**3 - 4*s**3 + 0*s**3 + (-s - 2*s + 2*s)*(-4*s**2 + 3*s**2 + 0*s**2) + (-7*s**2 - 14*s**2 + 9*s**2)*(-2*s + s - 2*s).\nAnswer: 35*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-94 - 64 + 2)*(-35*w**5 - 26*w**5 - 7*w**5).\nAnswer: 10608*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 24 + 22. Suppose 3*v - f = -4. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -11, 0, -3, 11 in decreasing order.\nAnswer: 11, 0, -3, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.4*6.26446.\nAnswer: 2.505784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -16 - 46?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -2924424, -5848795, -8773160, -11697519, -14621872, -17546219, -20470560?\n\"Answer: 3*r**2 - 2924380*r - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 943 + -4713\/5. Let x = 14.3 + -14. What is the closest to 0 in x, f, -22?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 328 minutes after 1:08 AM?\nAnswer: 6:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*k - 2*k + 4 = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (4\/(180\/63))\/1*-5?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 413*t = -11*t + 1233840. Calculate the remainder when t is divided by 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 165 - 69. Let n = u + -97. Which is bigger: 2\/67 or n?\nAnswer: 2\/67","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) be the third derivative of 1\/4*z**4 - 7\/120*z**6 - 2\/15*z**5 + 0*z - 3*z**2 + 0 - 5\/6*z**3. Let n(g) = g**3 + g**2 - g + 1. What is 6*n(b) + o(b)?\nAnswer: -b**3 - 2*b**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ll when two letters picked without replacement from lfccccdscfdlcff?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l = 6 - 4. Let n = 5 - 0. Let h = 0.26 - 0.16. What is the second smallest value in n, h, l, 12\/5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -162 - -1623. Let m = l + -817. Suppose -3*x + m = x. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, -6, 10, 0.5, -1\/2 in ascending order.\nAnswer: -6, -3, -1\/2, 0.5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((0\/(-1))\/1)\/(-1). Let q = 9 - 16. Let m = b - q. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1529780 divided by 305956.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -8 + 9. Is q at least as big as 1.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.051, 4, -1 in descending order.\nAnswer: 4, 0.051, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*p**3 + 7316168*p**2 - 7316168*p**2.\nAnswer: 3*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence sm when two letters picked without replacement from mmawcamcccsssaqasass?\nAnswer: 9\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 35887\/47860 - -2\/11965. Let m = -58.952 - 0.048. What is the nearest to -0.2 in m, c, 5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1135 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -833*u**2 - 203*u**2 - 820*u**2 + 548*u**2.\nAnswer: -1308*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.9 - 0.1. Let u be 0\/(-5) + -1 + -3. What is the nearest to 1 in u, 0.1, j?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = -4*t**2 - 13. Let a(r) = 401*r**2. Give a(f(v)).\nAnswer: 6416*v**4 + 41704*v**2 + 67769","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z + 21*o - 25*o - 1560 = 0, -z + 3*o + 777 = 0. Suppose 4*r - 474 = z. What is the highest common factor of r and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (5\/(-15))\/((-1)\/19127649). Let h = s - 3795883. Round h to the nearest 100000.\nAnswer: 2600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 20030 + 0?\nAnswer: 20030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -21213 and 111.7?\nAnswer: -2369492.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -28 - -123. Suppose -3*d = 2*d - x. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -142 + 144. Which is the second biggest value?  (a) -1  (b) j  (c) -2  (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -3\/8  (b) -141639\/2  (c) 4  (d) -1\/5  (e) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*r**4 + r**4 + 3*r**4 + (-3*r**3 + 0*r + 0*r)*(1 - 1 + r) - 53*r**4 + 76*r**4 - 54*r**4.\nAnswer: -33*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 8*s - 14*s + 48. Let x(p) = 3*p + 0 + 0. Does 24 divide x(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 3527 - -31740. What are the prime factors of d?\nAnswer: 35267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1*(2\/5)\/(20\/(-25))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 50100409 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:07 AM and 9:42 AM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*l - l = 60. Is 7 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -481*g**4 - 1264*g**3 + 6660068 wrt g?\nAnswer: -1924*g**3 - 3792*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 47\/30472 and 29\/19045.\nAnswer: 152360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 2852 and 1748?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 84 and 965496.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 58177.\nAnswer: 7, 8311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -45279, -45281, -45283, -45285, -45287?\nAnswer: -45289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6888078.\nAnswer: 2, 3, 14173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*i + 20 - 8 - 11 + 9*i**4 - 4*i**4 - 4*i**3 - 6*i**2.\nAnswer: (i - 1)**2*(i + 1)*(5*i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3365 + 488 = -3*g. Suppose -2129 = -5*x + 3*q + 2660, x - q = g. Suppose d = -225 + x. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 5 - 13. What is the units digit of (9\/6)\/((-2)\/j)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 3\/7  (b) 0.1  (c) 3\/4  (d) -1755  (e) 78\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r = k - 20, 4*k + 20 = -3*r - 14. Let v(y) = 5*y - 5*y - 2*y - 5*y - y**2. Let m be v(r). Solve -2*q = -l + 2, -m - 4 = 5*l for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -74 + 74 - (-24)\/6\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) = -85*u - 375. Let q be k(-4). Let n = -180 + 113. Let s = q - n. Calculate the highest common divisor of 4 and s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -77.4 - -83.58. Let m = h - 3.18. Let w = -1 - -2. Which is the closest to w?  (a) -3  (b) -0.4  (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1100010010110001001011 + 1?\nAnswer: 1100010010110001001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = -6*w + 25. Let l(z) = 4*z - 16. Let r(k) = 8*l(k) + 5*m(k). Give r(6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -27c3 + -1d4?\nAnswer: -29b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7659?\nAnswer: 3, 23, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express q + 3 - 3 + (-2 + 3 - 2)*(0 + 0 + 2*q) + 4*q - 5*q + 3*q - 89 - 23 - 31*q + 33*q in the form m*q + f and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -21896\/19 - -1153. Find the common denominator of 6\/89 and u.\nAnswer: 1691","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1 or -460\/273?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = -8*t + 5. Let c be 114\/(-22) - 10\/(-55). Let a be x(c). Calculate the greatest common divisor of a and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together 32.292 and 1221.\nAnswer: 1253.292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 8 - (-19 - (-13 - -15 - 14)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 153, 561, 1241, 2193, 3417, 4913?\n\"Answer: 136*v**2 + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*q - 22 = -2*q. Let z = -15 + q. What is the tens digit of 12 + z*(-4)\/8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 4401 and 3807.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -1243 + 2327. Let g be (-2)\/(-3) + s\/(-549). Let k = g - -12\/61. Which is smaller: -2 or k?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 175 is divided by 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s + 80 = -0*g + 4*g, -4*g = -2*s - 80. Let j be -3 - (-5)\/(g\/36). Let u(f) = -f**2 + 10*f - 9. Calculate u(j).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 714375, 2857524, 6429439, 11430120?\nAnswer: 17859567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) 20  (b) 2  (c) 2.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -100 - -156. Let j be (2 - (-27)\/(-12)) + 70\/y. Solve q + 3 = j for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 226 - 44 = 7*t. Calculate the remainder when 103 is divided by t.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {t: 4, v: 2}. Give prob of picking 2 v and 1 t.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:07 AM and 12:29 PM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -431 + 0.5\nAnswer: -430.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 115 + -919\/8. Let r(v) be the third derivative of 0*v - 2*v**2 + 1\/20*v**5 - d*v**4 + 1\/6*v**3 + 0 - 1\/120*v**6. Factor r(s).\nAnswer: -(s - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 174379522 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 96 - -15. Suppose f*o - 3576 = 108*o. Let s = 7289\/6 - o. Calculate the common denominator of -111\/10 and s.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 3637 - 3631. What is the lowest common multiple of q and 247?\nAnswer: 1482","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 27126 divided by 3014\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Divide -261 by 87.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -133*i**5 + 225*i**4 - 12*i**3 + 33043878*i**2?\nAnswer: -7980*i**2 + 5400*i - 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-10)\/(-4) - (-2)\/4. Let a be (2\/9)\/(2\/j). Let 1\/3 - 2\/3*h + a*h**2 = 0. Calculate h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + sqrt(700) + -1 - sqrt(35)\/(sqrt(605) - sqrt(605)*2 - sqrt(605)).\nAnswer: 221*sqrt(7)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 56498 is divided by 129?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -62d4 - 1?\nAnswer: -62d5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1 - 0.5. Let k = -33 + 32.7. Put l, -3, k in decreasing order.\nAnswer: l, k, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) be the second derivative of -5*x**4\/12 - 125*x**3\/3 - 3125*x**2\/2 - 2*x + 49. Solve i(n) = 0.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 1.057272122 to two dps.\nAnswer: 1.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = -45*v**3 - 25*v**2 + 21*v + 6. Let z(t) = -135*t**3 - 71*t**2 + 60*t + 17. Calculate 17*f(y) - 6*z(y).\nAnswer: 45*y**3 + y**2 - 3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -115 = -60*u + 125 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Does -1\/17 = -42?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 1526467*g - 732252 with respect to g.\nAnswer: 1526467","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-5*l + 0*l + 6*l)*(l - 3*l + 5*l) - 5*l**2 + 4*l**2 + 3*l**2)*(-41*l**2 + l + 37*l**2 + 17*l**2).\nAnswer: 65*l**4 + 5*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 69a93 - a?\nAnswer: 69a88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(17) + -2 + sqrt(17))*-5 + ((sqrt(85) - 1*sqrt(85))\/sqrt(5))**2.\nAnswer: -10*sqrt(17) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 1\/1540 and 43\/1232?\nAnswer: 6160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Factor -q**2\/3 + 6*q + 88\/3.\nAnswer: -(q - 22)*(q + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = w**3 + 2*w**2 - 5*w - 4. Let j be z(-3). Suppose -2*t + 1354 = 3*u, 4*u - 2*u + 1354 = j*t. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 minus -9689515099?\nAnswer: 9689515102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24 = 3*g + 3*k, -k - 7 = -2*g - 2*g. Suppose g*c + 16 = -c. Calculate the common denominator of (-2)\/8 - (c + 6) and 37\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -0.01  (b) 3  (c) -0.5  (d) -0.06  (e) -0.4  (f) 1\/46\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = -2*v - v + 260 + 5*v - v**2 - 3*v. Let i be d(0). Suppose 2*k + 240 + 20 = 4*a, 4*a = k + i. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 3  (b) -0.2  (c) -1  (d) -4  (e) -1\/165\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -45, -86, -199, -420, -785, -1330?\n\"Answer: -6*h**3 + h - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 17\/2 of a centimeter?\nAnswer: 85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 13 a factor of 299?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 20 a factor of 1000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (62*s + 63*s - 145*s)*(3 - 2 + 1)*(0 - 3 + 2*s - 3*s)*(5 + 6 - 2)*(s - s + s**2).\nAnswer: 360*s**4 + 1080*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = -43353*k - 1213881. Give r(-28).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in sixty-one halves of a litre?\nAnswer: 30500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0*q + q + 0*q)*(3*q - 5*q + 6*q) + 1 + 2*q**2 - 1 to a*q**2 + k + h*q and give a.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -1 + -3*710\/15. Let c = w + 182. What is the remainder when 192 is divided by c?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.2 in 1\/7, -0.1, -3, -2?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence vk when two letters picked without replacement from {i: 4, k: 4, v: 3, q: 4, g: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (-8)\/6*(-120 - 3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {u: 11, e: 1, d: 2, s: 2}. What is prob of sequence ed?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: ((-64)\/(-6))\/(-8)*(-6)\/116\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide 312449700 by 29338.\nAnswer: 10650","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(720) + (1 + sqrt(720) - sqrt(720)) - (sqrt(5) - (sqrt(5)*1)**2)*-2) + sqrt(500)*-1 + sqrt(500) + 1.\nAnswer: -8 + 14*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*k - a - 31 + 5, 0 = 4*k + a - 22. Let h(z) = -z. Let c(q) = q**3 - 4*q - 2. Determine k*h(b) - c(b).\nAnswer: -b**3 - 2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 102 - 33. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -5, 5, 4, 45, -2582, -4 in increasing order.\nAnswer: -2582, -5, -4, -1, 4, 5, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 44\/(15092\/147)*4\/(-6).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = 9*a + 7. Let i(b) = 5*b + 4. Let z(u) = 7*i(u) - 4*m(u). Let j(r) be the third derivative of r**5\/30 + 2*r**2. Determine j(z(p)).\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: (30036\/35042)\/((-6)\/112)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 1353 and 61295.\nAnswer: 2022735","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2 + -20 + -1 + 14.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a - 3 = -0. Does 3 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 29 a factor of 43956750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Add together -25403 and -1.\nAnswer: -25404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth smallest value?  (a) -14\/15  (b) 1\/3  (c) -3\/5  (d) 11  (e) -29  (f) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(5) + sqrt(20) + 1)**2 - ((-6*sqrt(80))**2 + sqrt(5))) + sqrt(40)\/((sqrt(96) + (-1*sqrt(96) - sqrt(96)) - sqrt(96) - sqrt(96))\/sqrt(12)).\nAnswer: -2834 + 14*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = -3*u**2 + 40*u + 1161. Determine l(-14).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) be the first derivative of -3*t**2\/2 + 1. Let o(s) = -s**3 - 2*s**2 + s - 4. Let x be o(-3). Let z(i) = -x*i + 0 + 3 - 3. Determine y(z(l)).\nAnswer: 6*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-70)\/(-3))\/((-2)\/(-9)). Let v = -76 - -188. Let i = v + -91. Calculate the greatest common divisor of i and a.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o**1)**(-22\/3)*(o\/(o\/o**(-2\/19)*o*o))\/(o**0\/o*o))**(-40) assuming o is positive.\nAnswer: o**(21520\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((16\/(-28))\/(-2))\/(13\/(-91)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -15050869 from 124.\nAnswer: 15050993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 t when three letters picked without replacement from tdddtdtdtdtt?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = n + n. Which is the third biggest value?  (a) n  (b) -0.4  (c) 0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 17 - 11. Let h = l + -6.4. Let o be (0 - 0\/3) + (-8)\/6. Which is the second smallest value?  (a) o  (b) h  (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -489 divided by -2787\nAnswer: 163\/929","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: ((-57)\/(-3268))\/(34 + 11550\/(-336))\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q - 10 + 4 = 0. Solve t = -q*t + 9 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -20 - -36. Let r be d\/15 + (-4)\/10. Sort 0, 1\/2, r in decreasing order.\nAnswer: r, 1\/2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-8*2\/(-28))\/((-104)\/28)\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3036*v - 125181 = -49281 for v.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((11 - 13 - 12)*(-2 + 1 + 0) + 0 + 2 + 0 + 2 + 1 - 1)*(-5*s + 2*s + 4*s).\nAnswer: 18*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 3\/5, 2\/5, 1507, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 35*n - 7178 = 1012. What is the highest common divisor of 1157 and n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 579 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 4956 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -0.45, 5, -0.01?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Factor 16*i**3\/5 + 38*i**2 - 27*i\/5 - 36\/5.\nAnswer: (i + 12)*(2*i - 1)*(8*i + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5071.\nAnswer: 11, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -16*a = 1869 - 2349 for a.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 1*-2 + 48\/26. Let p = -0.1 - -0.5. Let f = -0.3 + p. Which is the second biggest value?  (a) v  (b) -0.2  (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum 0.461 and -0.0027.\nAnswer: 0.4583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3*u - u + u)*(-52 - 4 - 9 - 19897*u + 65) to n*u**2 + x*u + o and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -86 - 354 + 12*q**3 - 92 + 532.\nAnswer: 12*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = 9*w**2 - 25*w + 1. What is the tens digit of v(8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -10154*u + 8622*u + 41364 for u.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Round -37.85 to the nearest ten.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-15)\/(-25) - (-24)\/10. Let r(z) be the first derivative of -1 + 1\/6*z**j - 1\/2*z**2 + 1\/2*z. Factor r(w).\nAnswer: (w - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -2459, -4907, -7353, -9797, -12239, -14679?\n\"Answer: o**2 - 2451*o - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11250*t**5\/7 - 281850*t**4\/7 - 277492*t**3\/7 + 2200*t**2 - 208*t\/7 = 0.\nAnswer: -1, 0, 2\/75, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/10 of a decade in years?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 114 and 3528?\nAnswer: 67032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when ((-164)\/(-8))\/(-1 + (-228)\/(-216)) is divided by 42.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -2521 + 2578.5. What is the biggest value in -2, g, 0.1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 176 minutes before 4:59 AM?\nAnswer: 2:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -0.3 - 0.1489\nAnswer: -0.4489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) = -2*u + 7. Calculate k(-2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -186*b + 4*b**2 + 86*b - b**2 - 5*b**2 - 29 wrt b.\nAnswer: -4*b - 100","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = l**3 + 2*l**2 - 7*l + 17. Give t(-7).\nAnswer: -179","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -1119\/4 - -1297\/4. Find the common denominator of 121\/2780 and k.\nAnswer: 2780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = -27*r**2 - 25*r**2 - 53*r**2 + 160*r - 324*r + 165*r. Let j(q) = -q**2. What is y(j(d))?\nAnswer: -105*d**4 - d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 1\/7, -1\/69 in decreasing order.\nAnswer: 1, 1\/7, -1\/69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 230\/50 + 2\/5 + 0. Let p(m) = m**2 + 7*m - 11. Let k be p(-8). Put k, -4, v in descending order.\nAnswer: v, k, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 30818535 is divided by 15409265?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 388 minutes before 5:46 AM?\nAnswer: 11:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Express -7 - 13*n + 13 - 6 in the form u + z*n and give z.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is seven eighths of a kilometer in meters?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -39, -3\/5, 3\/8, -38 in decreasing order.\nAnswer: 3\/8, -3\/5, -38, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 36\/7 or -22?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-4)\/20 - 26\/(-5). Let z be 1\/(3\/18*2). Suppose -t = -j - 0*j + 4, j - z*t = 12. Solve j = -i*p - 18 + 3 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3.941343 years to millennia.\nAnswer: 0.003941343","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -1454+-4.47057992\nAnswer: -1458.47057992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 1559871951 + -0.38\nAnswer: 1559871950.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.07 + -0.03. What is the nearest to 2 in -1\/8, n, -1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 79 - 86. Sort 5, 1, q, 4.\nAnswer: q, 1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qs when two letters picked without replacement from qsd?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from xxxxxcxccxxcxx. What is prob of picking 3 x?\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) be the first derivative of -15*m**2\/2 + 14. Suppose 8 - 11 = -s. Let x(f) = 7*f - s*f - 3*f - 4*f. What is x(g(q))?\nAnswer: 45*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 2214934 to the power of 1\/2, to the nearest integer?\nAnswer: 1488","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:26 PM and 10:00 PM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1159?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 27\/4 of a millennium in decades?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 18 + 14\/(-56)*73. Is d > 1655?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = 28*q**2 - 1142*q - 679. What is j(41)?\nAnswer: -433","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -630152902 + 630152900.499000653. Let n = d - -1.501. Round n to 7 dps.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 47\/36 and ((-198)\/30 - -7)\/((-36)\/1515).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -12 + 6 - 60\/(-3 - (-72)\/32).\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) be the first derivative of h**5\/5 + 1689*h**4\/4 - 1453*h**3 + 4105. Find the third derivative of w(a) wrt a.\nAnswer: 24*a + 10134","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2233179 is divided by 534.\nAnswer: 525","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Work out -36423.7 + 0.3.\nAnswer: -36423.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = -2*k**3 - 13*k**2 - 3*k - 8. Give l(-6).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4 divided by -6388.\nAnswer: -1\/1597","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z = -4*r - 4, 2*z - r - 20 = -5*r. Which is the nearest to -1?  (a) 0.4  (b) 2  (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*sqrt(896) - sqrt(56)\/(-2*sqrt(4)))\/(sqrt(16)\/(sqrt(968) + (sqrt(968) - -2*sqrt(968)))).\nAnswer: -682*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -38 in 0.1, -1\/4, 4\/7, 1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-12)\/(-2 + -1) + -3. Does 14 divide (-7)\/(9\/(-6) + g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 545 is divided by 305?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: (-6644)\/(-16610) - 12\/75*-34*-10\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -11886 + 8271. Let l = 3622.0949 + t. Let k = l - 7.1. What is k rounded to three dps?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 92 divide 570?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = y - 24. Let s be g(18). Suppose -k + 10 = -0*k. Let u = k + s. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t = -3*t + 1148. Calculate the remainder when t is divided by 28.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 25 - 29. Let y be (0*j\/(-12))\/1. Solve 5*u + 22 = -3*l - 7, y = 5*u + 20 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -335, -669, -1003, -1337, -1671, -2005?\nAnswer: -2339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 20080000 rounded to the nearest one million?\nAnswer: 20000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = -2*g**2 + 20*g - 16. Let r be h(9). Suppose 4*v + r = -22. Let p be (-1 + 1901)\/(v\/120). What is p rounded to the nearest 10000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 28, 180, 460, 868, 1404?\n\"Answer: 64*z**2 - 40*z + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-4929)\/(-53)*((-2)\/(-12))\/((-4)\/8).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 39009?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 take away 646560760?\nAnswer: -646560761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -648, -654, -664, -678?\n\"Answer: -2*g**2 - 646","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 90063515 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1384 and 581972.\nAnswer: 692","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 4 times -479.62009\nAnswer: -1918.48036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f**(-8)*f**(2\/9)\/f)**(-2))**(-20) assuming f is positive.\nAnswer: f**(-3160\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = 87*p**2 + 5*p + 7. Let v(o) = o**2 + 2*o + 2. What is -s(w) + 4*v(w)?\nAnswer: -83*w**2 + 3*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o = 4*o + 50. Let h(l) = 6*l - 4. Suppose -3*m - v - 4 = v, -3*m - 4*v - 2 = 0. Let z(s) = -s + 1. What is m*h(k) + o*z(k)?\nAnswer: -2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (3510\/260)\/((-2)\/(16\/6)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 770, -3065, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 300 + -300. Solve -4*w + 4*o + 8 = h, -6*w = -5*w - 4*o + 1 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = -1250*v + 47476. Give b(38).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 147*z - 21966 = -349*z + 18210 for z.\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is -2296 equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 17\/12644 at most as big as 57?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*a - 6*a - 5*a)*(-a**2 + 2*a**2 + 0*a**2)*(0 - 1 + 0)*(6*a + 11*a - a**2 - 10*a).\nAnswer: -16*a**5 + 112*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5023 is divided by 710.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12176*g + 12184*g - 24354*g = 5*y + 37, -5*y + 2*g = 29 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -89 - -61. Let l = o - -50. Let r(d) = -d**2 - 10*d - 22. Let n be r(-6). What is the highest common factor of n and l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -15.74 + 16. Let l = 0.1 - z. Round l to 1 dp.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 29070 and 1529235?\nAnswer: 765","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*d - 13*d - 9*d + 0*d + 3210*d**2 - 3192*d**2.\nAnswer: 18*d**2 - 20*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 3111.333718 + -3111.3. Let x = -1.3662756 - u. Let k = x + 1.4. What is k rounded to 6 decimal places?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = 65*h**2 + 3250*h + 4. Let l be p(-50). Solve -19*x = 5*n - 24*x, 2*n - 4*x + l = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 243812, 243810, 243806, 243800, 243792, 243782, 243770?\nAnswer: 243756","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 37*y = 1055 - 1092 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1326*p = 2593*p + 325277 for p.\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**(2\/5)*n**(8\/5))\/((n\/n**(-3\/7))\/(n*((n*n**21*n)\/n*n)\/n)) assuming n is positive.\nAnswer: n**(165\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 9 - 7. Let u = -1 + 1. Suppose u = -2*v - v. What is the second biggest value in v, a, 5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-3880)\/4268 + (-296)\/(-11)\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 6.075105 hours to nanoseconds.\nAnswer: 21870378000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -0.0177  (b) 0.4  (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 181 is divided by (4 - 8\/(-4)) + 42?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 38.1 + -36.1. Let t = -326\/5 + 65. What is the nearest to t in -1\/8, q, 3?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*n = -n - a + 18, 0 = n + 5*a - 26. Suppose 39*t - 43*t = -n. Let m be (-1)\/(-7) - t\/28. Sort -4, m, 4.\nAnswer: -4, m, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -6386900 to the nearest one million.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*o + 3*r - 49 = 0, 5*o - 73 = -2*o - r - 0 for o.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1935005?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p + d = -3, -3*p + 2*p + 5*d = -27. Let u be 3\/2*p\/(-3)*-1. List the prime factors of (61\/u)\/(0 - -1).\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = 3*u**2 - 22*u. Let k(p) = 3*p. What is l(k(q))?\nAnswer: 27*q**2 - 66*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-7070)\/(-21))\/(2\/(-3)). Suppose p = 2*o + 4*p + 16, 0 = -4*o + 2*p. Is 1*y*(-3 - o) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in 1\/2, -4, 3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -98 - -56. Let z = -54 + l. What is the common denominator of (-610)\/z + 2\/(-3) and 61\/10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 4 and 53?\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 1185893509 a multiple of 344?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Product of -235 and 0.3.\nAnswer: -70.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 180 is divided by 33?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = -10*v - 86. Let q be h(-9). Suppose 4 = q*a - k, -3*k - 20 = -a + 2*k. Solve -2*x = -3*m + 11, 3*x - 11 = -a*x - m for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -1028\/3*q**2 + 410\/3*q**3 + 376*q + 1\/3*q**5 - 21*q**4 - 448\/3.\nAnswer: (q - 56)*(q - 2)**3*(q - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 4 + 2. Suppose -d + h = 3. Let g(z) = z**2 + 3*z + 4. Let y be g(-3). Put y, -3, d in descending order.\nAnswer: y, d, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 202 or 211?\nAnswer: 202","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/6, 3, -2\/3.\nAnswer: -2\/3, 1\/6, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*v = 2 - 6 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 109724 (base 13) to base 15.\nAnswer: 7b36e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*l = 6*l + 5*j + 10, -2*j = 3*l + 23. Calculate the remainder when 34 is divided by (2 + 17)\/(l\/(-9 + 4)).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in 6\/5, 21, -4.3?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -2490 divided by -498\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((n\/(n\/((n*n\/(n\/n**(-6))*n)\/n*n)))\/(n*n**3))\/((n**(2\/25)\/n)\/n**9))\/(n**(5\/3)\/((n**(-1\/4)*n)\/n)*(n\/n**(1\/2))**(-48)) assuming n is positive.\nAnswer: n**(7201\/300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2925749.\nAnswer: 31, 94379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = -2*r**3 - 50*r**2 + 213*r + 139. Determine d(-28).\nAnswer: -1121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify s**7\/s**(-1\/8) assuming s is positive.\nAnswer: s**(57\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 149727898 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 8548 (base 13) to base 8\nAnswer: 44061","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + sqrt(72) + (sqrt(20)\/sqrt(40))**2.\nAnswer: 3\/2 + 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 4860 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = 23831*v - 13. Let n(u) = 115182*u - 63. Calculate 63*f(b) - 13*n(b).\nAnswer: 3987*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth biggest value?  (a) -2  (b) -37  (c) 5\/2  (d) -5  (e) 2\/3  (f) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = -2*w**3 - 5*w**2 - 2*w + 1. Let v(f) = f**3 + f**2 + f. Determine -6*v(h) - 2*z(h).\nAnswer: -2*h**3 + 4*h**2 - 2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 2041310 + 313?\nAnswer: 2042123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 28408 + -28306. Calculate the remainder when 1435 is divided by t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) be the third derivative of -55*y**2 + 26\/3*y**3 - 37\/12*y**4 + 0*y + 0. What is the first derivative of z(h) wrt h?\nAnswer: -74","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 36\/15*(-12480)\/468\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 48043?\nAnswer: 107, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find c such that c**5 + 86*c**4 - 21327*c**3 + 766440*c**2 - 745200*c = 0.\nAnswer: -207, 0, 1, 60","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 2\/(-3) + (-170)\/(-30). Suppose x*r - 2006 + 1731 = 0. Is r a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 55 + -32. Suppose 0 = -4*m - 3*v + 16 + h, 3*m + 2*v = 28. Calculate the remainder when 35 is divided by m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = 2*z**3 - 43*z**2 - 20*z - 29. Let k be n(22). Solve -2*t + k = 25 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-25)\/(-30) - ((-77)\/(-42) + -6). Solve m - r = 5*l, 2*m + 5*l = -1 - 19 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in -6, -141, 0.5, 861.4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.428 + -5.\nAnswer: -5.428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -45822, -92256, -138700, -185160, -231642, -278152, -324696, -371280?\n\"Answer: -v**3 + v**2 - 46430*v + 608","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5641 is divided by 5618?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 8*w**3 + 82*w**2 + 61917 wrt w?\nAnswer: 24*w**2 + 164*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-468)\/1485 + (-4)\/(-22). What is the third smallest value in s, 1, 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -3 - -12. Calculate the greatest common divisor of t and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*v**4 + v**2 - 232*v**3 + 232*v**3)*(-2*v - v + 4*v) + 3303*v**2 - 3303*v**2 + 30*v**5.\nAnswer: 32*v**5 + v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -533, -703, -865, -1019, -1165, -1303?\n\"Answer: 4*a**2 - 182*a - 355","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 31 - 13. Let g = q - 13. Let y = -0.9 - -0.4. Which is the closest to 2?  (a) 4  (b) y  (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*b + 288 = -2*v, -v = -2*b - 3*b - 374. Let r = b + 125. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 322\/(-77) - -4 - 3\/(-132)*44820\/3375?\nAnswer: 3\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = 7*q + 14. Let x(a) = 6*a + 14. Give -5*r(l) + 6*x(l).\nAnswer: l + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 10711704 divided by -4.\nAnswer: -2677926","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = -19*c + 135. Let u(y) = 18*y - 136. Let m(q) = -3*i(q) - 4*u(q). Let v be m(20). Is v smaller than -161?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.351?  (a) 24  (b) 0  (c) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 0 * 1.684\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -47\/2 and -35\/334646.\nAnswer: 334646","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 121437 and 2163?\nAnswer: 850059","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 30351 + -30258 - (141 + -1)\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 160339 is divided by 7939.\nAnswer: 1559","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y = 3*r + 6, -9*r - 19 = -7*r - y. Let a(z) = 8*z - 8. Let j be a(r). Calculate the lowest common multiple of (-18)\/(-8) - (-16)\/j and 9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 17191, -3, -1, 2, -2 in decreasing order.\nAnswer: 17191, 2, -1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -8446285*j**3 + 706*j**2 + 13260?\nAnswer: -50677710","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) be the third derivative of m**8\/224 - 53*m**5\/20 + 26*m**2 - 2*m. Let d(w) be the third derivative of q(w). Let b(k) = 2*k. Calculate d(b(j)).\nAnswer: 360*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (714\/(-15))\/((-13)\/(-65)). Let g = y + 250. What is the smallest common multiple of 42 and g?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -20602, -41235, -61880, -82543, -103230, -123947, -144700?\nAnswer: -165495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.6, 0.5, -0.5, -12.913 in increasing order.\nAnswer: -12.913, -0.5, 0.5, 0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 33 and 1067?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 28*l - 1423 = 257. What is the greatest common divisor of 192 and l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = 8*a**2 - 6*a + 6. Let l be j(3). Suppose -l = -9*f + 84. Calculate the smallest common multiple of 12 and f.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -4 + 2. Suppose s - 5*r + 23 = -2, 3*s - 4*r + 20 = 0. Which is the smallest value?  (a) 5\/4  (b) s  (c) u  (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (12 - 12 + 19*l)*(-2 + 0 + 3)*(18*l + 63*l + 42*l + 30*l).\nAnswer: 2907*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 13\/39 - 1\/3. Solve -3*c = s + 19, -c - 17 = 3*s - m*c for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = q**3 - 34*q**2 + 93*q + 65. Let r = 21 - -1. What is the remainder when h(31) is divided by r?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -864 + 864 - 6*l + l.\nAnswer: -5*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 191739*c*q*t**2 + 2482282*c*t**2 - 63*q*t**3 + 4*t**3 wrt q.\nAnswer: 191739*c*t**2 - 63*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 157 is divided by 27?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3496 = 16*l - 4040. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-1576)\/10 - 16\/40. Let f = n - -156. What is the nearest to -3 in 0, f, 3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*l = 5 + 3. Let j be (l\/21)\/(3\/14). Let -2\/9 + j*v**3 + 0*v**2 - 4\/9*v + 2\/9*v**4 = 0. What is v?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) be the second derivative of -37*w**3\/3 + 3*w**2\/2 - 3*w. Let q be f(-1). Calculate the greatest common factor of q and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*x - 215 = 47*b, 634*x - 15 = 313*x + 317*x - 5*b for x.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 16\/(-12)*9\/(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -4  (b) 1  (c) 132\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 25\/38 + -3\/19. Which is greater: -1 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*w**2 + 15600*w - 4368573.\nAnswer: -3*(w - 4903)*(w - 297)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*y = 3 - 23 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -8 - -12. Suppose -y + 4*c + x = 0, 6 = 5*c - 14. Suppose -7*t + 3*t = -y. Sort 0, 3, t in increasing order.\nAnswer: 0, 3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 1\/5, -4, -0.17, 61\/17?\nAnswer: 61\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = j**2 + 13*j - 12. Give u(-14).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -619, -2616, -5989, -10738, -16863?\nAnswer: -24364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 20 + 882*p**2 - 563*p**2 + 3*p - 466*p**2 wrt p.\nAnswer: -294","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2\/7, -2\/5, 0.11, 0.1, -0.5 in decreasing order.\nAnswer: 2\/7, 0.11, 0.1, -2\/5, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = 36*n + 68. Let p(a) = 6*a**2 - 4*a + 2. Calculate the remainder when f(0) is divided by p(2).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 18480\/(-660)*(-10)\/28\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 39859838 and 454?\nAnswer: 454","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 0.3  (b) 10  (c) -2\/11  (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -1460543.387 rounded to the nearest one thousand?\nAnswer: -1461000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 30001 (base 8) to base 7\nAnswer: 50554","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = 1359488*b**2 - 26752*b. Let a(q) = -51*q**2 + q. Determine 53504*a(v) + 2*u(v).\nAnswer: -9728*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 118467 is divided by 23682.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 10 - (92 + -98 - (-2 - -7) - (3 - 14)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 57*t - 61*t + 4*a + 2868 = 0, 0 = -t - 4*a + 707. Is t a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 62*c**2 - 242*c**2 - 1187*c**2.\nAnswer: -1367*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*(sqrt(208) + 1 - sqrt(468)*6)**2.\nAnswer: -192*sqrt(13) + 39939","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -15 + 223050345?\nAnswer: 223050330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from zazzzazaczzazzac. Give prob of picking 3 z and 1 c.\nAnswer: 6\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.039 minus 8.626195?\nAnswer: -8.665195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -9468 - -567967\/60. Find the common denominator of p and -17\/285.\nAnswer: 1140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 771\/(0 + 3) + 0. Suppose -3*c + 5*d + j = 0, -55 = -c - 5*d + 44. What is the remainder when c is divided by 30?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 10828 is divided by 69?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((-112838)\/(-33))\/(4\/6) + 4. Let y = w - 3665. What is the hundreds digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) be the third derivative of n**7\/1575 - n**6\/180 - 41*n**5\/450 + n**4\/4 - 3445*n**2. Factor f(u).\nAnswer: 2*u*(u - 9)*(u - 1)*(u + 5)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 55 divide 1897104543?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 102349369 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = -2*h**2 + h - 3. Suppose 0 = 3*k - 28 + 7. Let w(n) = -k + 3 - 3 + 2*n - 5*n**2. Let d = 23 + -16. Calculate d*v(m) - 3*w(m).\nAnswer: m**2 + m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 h and 1 u when two letters picked without replacement from huhuuuuuuuu.\nAnswer: 18\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 914681.3 days?\nAnswer: 1317141072","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a + 3 - 8 = 0. Suppose 0 = -a*p + 2*d + 97, -2*p = -2*d - 0*d - 40. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from hhfhffhfhf. What is prob of sequence fff?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:57 PM and 10:40 PM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Divide 2506000 by -16.\nAnswer: -156625","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(-6*(sqrt(315) + sqrt(315)*5)\/(sqrt(5) + -2*sqrt(10)\/sqrt(2))*-6)**2*-1.\nAnswer: -14696640","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 4?  (a) 5  (b) -2  (c) 30\/89  (d) -4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -43821, 35, 0.15?\nAnswer: -43821","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -7293, -14740, -22193, -29652?\n\"Answer: -3*l**2 - 7438*l + 148","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = 4*w - 3. Let c(k) = 6*k - 5. Let j(n) = -3*n**3 + 19*n**2 - 5*n - 11. Let g be j(6). Determine g*c(v) + 8*o(v).\nAnswer: 2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) be the second derivative of o**4\/4 - 12*o. Let b(g) be the third derivative of g**4\/12 - 11*g**2. Determine b(n(c)).\nAnswer: 6*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 19\/(-2) + (-5)\/10. Let p(n) = -n - 5. Let z be p(l). Let t be 23\/5 - (-2)\/z. Sort -1, t, 3 in decreasing order.\nAnswer: t, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = 53*u**2 + 27*u - 206. What is the lowest common multiple of 12 and g(6)?\nAnswer: 5592","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3766555203?\nAnswer: 3, 29173, 43037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -cb (base 16) to base 5\nAnswer: -1303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = -y**3 - y + 32. Give k(0).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -13*j - 3 + 6 - 3 to the form s*j + k and give s.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 1.674 + -0.014. What is c rounded to 1 dp?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth biggest value in -4, 1\/6, 0.1, -28, -5, -5\/6?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 10 + (0 + -2 - -1). Let x(n) = n - 5. Let h be x(z). Differentiate 34 - 11 - 2 - 45*b**h wrt b.\nAnswer: -180*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2133063179?\nAnswer: 13, 164081783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 (base 12) in base 7?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -46268784 divided by -1.\nAnswer: 46268784","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = -4 + 2*g + 0 - 13. Let z be k(11). Solve -b + 4 = -z*l - 0*b, 4*l = -5*b - 9 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 12\/9*(6 + -3). Suppose 0 = p*n - 0*n - 812. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 5659962373?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 21da21 (base 14) to base 9\nAnswer: 2144774","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*q = 5*q - 2. Suppose -7 = -q*v + v + 2*b, -4*v + 28 = -b. Does 7 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1 - 0. Let c be (-5)\/10*(-7 + g). Which is smaller: -0.1 or c?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*u**5 - u**5 - u**5 + (-4*u**3 + u**3 + 2*u**3)*(-u**2 + u**2 + 2*u**2) - 413*u**5 - 223*u**5 - 188*u**5 + (-u**4 + 2*u**4 + u**4)*(-u - u + 0*u).\nAnswer: -832*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = -41*t**3 - 6*t**2 - 8*t - 11. Determine b(-2).\nAnswer: 309","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o = u - 0*o - 379, -3*u + 4*o = -1137. Suppose 2*b = p + 689, -5*b - 5*p = -2094 + u. What is the hundreds digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 2 + 10. What is the least common multiple of 38 and b?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -9\/112 - 5059\/112. Which is greater: o or -45?\nAnswer: -45","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -12*i + 9*i + 42. Solve i*z - 15 = 9*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4477?\nAnswer: 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*q = 4*q + 69. Suppose -o = -q - 25. Let t be (-1)\/(0 + 1\/(-6)). What is the greatest common divisor of t and o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m\/m**(2\/9)*m)**(-49)*(m**2\/m)**(-1\/10) assuming m is positive.\nAnswer: m**(-7849\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -1\/2  (b) 0  (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -13 - -26. Suppose 5*j - x = 17. Solve 3*c + v + 6 = j*c, 5*c - 4*v - 17 = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 2 + 159\/(-2 + 5). Let z = 103 - d. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*u + 6*u - 6*u)*(4*u**4 - 3*u**4 + 0*u**4)*(3 - 3 - 1)*(-4 - 5 - 2).\nAnswer: 33*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {w: 3, v: 8, r: 5, o: 1, x: 1, j: 2}. What is prob of sequence vj?\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) be the first derivative of -u**6\/6 - u**5 - 15*u**4\/2 + 23*u**3\/3 + 27*u**2\/2 - 2632. What is the third derivative of z(v) wrt v?\nAnswer: -60*v**2 - 120*v - 180","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -0.5, 36, 32, 17?\nAnswer: 36","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Add together 1 and -322217255.\nAnswer: -322217254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {v: 7, x: 1, z: 2}. What is prob of picking 2 z and 1 v?\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -137153\/60 - -2286. Let a(t) be the third derivative of -4*t**2 - 13\/6*t**3 + 0 + 0*t + 0*t**4 - p*t**5. What is the derivative of a(j) wrt j?\nAnswer: -14*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + (sqrt(60)\/sqrt(4))\/sqrt(5).\nAnswer: -1 + sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i - 6*w = -4*w - 52, 46 = i - w. What is the greatest common divisor of i and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = t**3 + 19*t**2 - t - 15. Let o(k) = -k**3 - 27*k**2 - 48*k + 31. Let p be o(-25). Let g be b(p). Solve 5*a + 3 = g*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = 200*x**2 + 347*x + 694. Let q be a(-2). Calculate the highest common divisor of 4960 and q.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = 12*j**2 - 5*j - 6. Let l be s(-2). Let f(m) = 5 - 28*m + l*m - 23*m. Determine f(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (4 - 6) + 276\/2. Let x(y) = 2*y**2 - 20*y - 3. Let i be x(10). What is the tens digit of (2 + i)\/(-1) + (f - 5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = 338*j + 161. Let q be x(-3). Let i = q - -1858. Is i a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in three fifths of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 126100661 to the power of 1\/3, to the nearest integer?\nAnswer: 501","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 142071615 a multiple of 282?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1009061 is divided by 168123?\nAnswer: 323","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 9861, 12446, 16755, 22788, 30545, 40026?\n\"Answer: 862*s**2 - s + 9000","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 148060, 148015, 147860, 147541, 147004, 146195, 145060, 143545?\n\"Answer: -9*g**3 - g**2 + 21*g + 148049","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 14292 or 14294?\nAnswer: 14292","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x - 1 = 2*i, -7 + 1 = 5*i + 4*x. Let y = 84 + -171\/2. Which is greater: y or i?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 44987623 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 10 - 13. Let d be (-3 + 3)*z\/(-3). Sort d, 4, -1 in decreasing order.\nAnswer: 4, d, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*(sqrt(117) + 1 + -2*sqrt(117)) - ((sqrt(117) - ((sqrt(117) + 1*sqrt(117) - sqrt(117)) + -5))*2)**2.\nAnswer: -104 + 12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-3)\/6)\/((-2)\/52) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) be the second derivative of h**4\/12 - 2*h**3\/3 + h**2\/2 + 8*h. Let k be j(5). Solve k*c = c + 25 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = 152*s - 13. Let j(p) = -38*p + 3. Determine 9*j(g) + 2*y(g).\nAnswer: -38*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Divide 21900 by -6.\nAnswer: -3650","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 42*b - 50*b = -228072. Suppose -29*z - b = -128066. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = 6*o + 2. Let a be (-18)\/(-8) - 1\/4. Let v be w(a). Let b be v + (1 - 0\/1). Solve 4*y + 12 = -0*y - 4*p, -b = 3*p for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -29\/3770388 and 151\/12.\nAnswer: 3770388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from oofecooeocccofofofc?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -1042 divided by -2?\nAnswer: 521","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 522.95 - 523. What is the nearest to 0 in 2, -3\/5, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*z**3 - 9*z**3 + 12*z**3 - 4*z**3.\nAnswer: -z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 270 minutes before 8:54 AM?\nAnswer: 4:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = 5*h**3 + 6*h**2 - 6*h - 2. Suppose -4*c - 20 = 0, -4*p + 2*c - 6 = 8. Let x(k) = 11*k**3 + 13*k**2 - 13*k - 4. Determine p*x(s) + 13*d(s).\nAnswer: -s**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 107 - -53. Calculate the remainder when 45 is divided by q\/32 - 22\/(-2).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3894591388.\nAnswer: 2, 1373, 709139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 + 21*v**4 - 3)*(-228 + 31 + 87).\nAnswer: -2310*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -118.51 + 121.81. What is the closest to -0.1 in -5, -2\/5, m?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (4364 - (-42)\/(-6))\/((-4)\/(-12) - 0)?\nAnswer: 3, 4357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1*(2 + 0))\/(282\/(-1410))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 11100022001021 (base 3) to base 11.\nAnswer: 1337689","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = -b**2 + 20*b + 44. Let s be d(22). Suppose s = v - 79 - 65. Let p be (-2)\/(-8) + v\/(-64). What is the closest to -0.1 in -0.2, 16, p?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 994*o**3 + 2*o - 999*o**3 - 2 + 2*o**4 + 0*o**4 to the form v*o**2 + t*o**4 + c*o + p*o**3 + g and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.397 + 1353333398.\nAnswer: 1353333397.603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (7 + (-1188)\/(-20))\/((-4)\/(-10)).\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((a*a**6)\/a)\/a**1)**(-3))**7 assuming a is positive.\nAnswer: a**(-105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -1687 + 1686.76. Which is greater: k or 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-5)\/(((-54)\/42)\/(-9)*-7).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:55 AM and 2:18 PM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -758000 rounded to the nearest one hundred thousand?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -4 - -13 - ((-15 - (-2 + -6)) + 39)\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide 19583 by -5.\nAnswer: -19583\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -3 - 123303?\nAnswer: -123312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*m + 4 + 28. Suppose 4*i = 4*y - 180, 2*i = -5*y - m + 268. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 247453887\/1100 - 224958. Calculate the common denominator of r and -25\/242.\nAnswer: 12100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 6, 6, 14, 36, 78?\n\"Answer: i**3 - 2*i**2 - i + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6*j - 2*j - 2*j)*(2*j**3 - 5*j**2 + 5*j**2 + (15 + 10*j - 15)*(j**2 - 3*j**2 + 3*j**2) - 3*j**3 + 0*j**3 - 2*j**3).\nAnswer: 14*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 53.017 - 0.017. Let j = p + -53.00000029. What is j rounded to 7 decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 2.4 + 0.1. Let l = -3.5 + p. Which is bigger: l or 5\/8?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = 3*f**2. Let w(r) = 7*r + 6. Let k(d) = 20*d + 17. Let h(b) = -6*k(b) + 17*w(b). Give z(h(v)).\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.2 in 97, 1, 1\/3, -1241?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = -2*l - 5. Let p be 2\/7 - (-95)\/35. Suppose 4*g - 5*v - 15 = 0, 9 = -0*g + p*g - 3*v. Suppose -m + w - 2 = g, 0*w - 38 = 5*m + 2*w. What is s(m)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = 6*k - 55. Let g(v) = 7*v**2. Give g(n(c)).\nAnswer: 252*c**2 - 4620*c + 21175","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (20\/14)\/(9\/63) - 4. Let r(c) = -2*c + 15. Let f = 16 + -10. Calculate the smallest common multiple of f and r(y).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from {d: 3, l: 5}.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 827 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence kr when two letters picked without replacement from {r: 1, d: 2, e: 2, s: 4, k: 2, g: 4}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) be the first derivative of -5 + 0*x**2 + 0*x - 7\/4*x**4 + 7\/3*x**3. What is the third derivative of p(a) wrt a?\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = -11*f + 11*f + 2 + 12 - 2*f. Is h(-21) a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2843+-25165.4\nAnswer: -28008.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) be the first derivative of -64 + 0*o**2 + 3\/5*o**5 + 0*o - 9\/4*o**4 + 0*o**3. Factor f(m).\nAnswer: 3*m**3*(m - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = 2*a - 4. Let s(o) = 2*o**2 + 75*o + 32. Let p be s(-37). What is y(p)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 189337 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 17\/33615 and -161\/10577520.\nAnswer: 31732560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 78.85521 litres?\nAnswer: 78855.21","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((-178)\/(-45))\/1*(49 + -42). Let b = -242\/9 + r. Factor 0*t + 0 - 2\/5*t**3 - b*t**5 + 0*t**2 + 6\/5*t**4.\nAnswer: -2*t**3*(t - 1)*(2*t - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = -12*d - 15. Let z be u(-4). Let h = 33 - z. Solve h*m = 3*m + 12 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of y**2 + y**5 + 2*y + 2*y**4 + 4*y**2 + 6*y + 0*y**2 wrt y.\nAnswer: 60*y**2 + 48*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n = -2*x + x + 63, 0 = 4*x - 3*n - 252. Let z be ((-4)\/(-2))\/((-4)\/(-32)). Suppose 2 = 2*b - z. What is the highest common divisor of x and b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.4942 - -0.08?\nAnswer: -0.4142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 510692893?\nAnswer: 79, 797, 8111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.026452514 to 5 dps.\nAnswer: 0.02645","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 926008256.\nAnswer: 2, 14468879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 31428, 52509, 73590, 94671, 115752?\nAnswer: 136833","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -0.171 or 1\/29?\nAnswer: -0.171","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) be the first derivative of -v**4\/6 + v**3\/6 - v**2\/2 - 4*v + 1. Let m(n) be the first derivative of u(n). Calculate m(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = -16*t**2 + 13067*t - 64942. Determine o(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*k + 16 = 564*r - 561*r, r + 18 = 3*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = -y**3 + 5*y**2 + 13*y + 10. What is the smallest common multiple of d(7) and 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 3 + 2*y)*(-8*y + 15 - 15) - y + y - 2*y**2.\nAnswer: -18*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 8.285 - 0.085. Let s = j + -8. Let y = -15 + 15.1. Which is the third smallest value?  (a) -5  (b) s  (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -33, -3, -0.5 in descending order.\nAnswer: -0.5, -3, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = -d**2 + 7*d + 13. Let u be s(8). Suppose -6*p = -u*y - 9*p + 87, 59 = 3*y - 5*p. Which is the closest to y?  (a) 1\/6  (b) -4  (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*v + 4*s + 15, -3*v - 2*s - 5 = -2. Let j = -9.2 - -0.2. Let w = j + 9.3. Which is the nearest to v?  (a) 2\/17  (b) w  (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 70*x**3 - 27*x**2 - 48*x**2 - 1 - 71*x**3 as s*x**3 + u*x + w*x**2 + m and give w.\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 9318756 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -2*(-43)\/6*-3. Let i = y + -70. Let n = i - -280. What is the hundreds digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 8\/18*(-35)\/60. Let l = q - -335\/1188. Let c = l - 227\/308. Calculate the common denominator of -1\/6 and c.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.004 + 0.037. Let j = 4.033 - k. What is the closest to -1\/4 in -0.1, 0.1, j?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.7, -1\/3, -3403, -5\/2 in ascending order.\nAnswer: -3403, -5\/2, -1\/3, 0.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 130 minutes before 11:59 AM?\nAnswer: 9:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is w in -2*w**2\/7 - 56*w - 2744 = 0?\nAnswer: -98","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 d and 2 b when three letters picked without replacement from {n: 5, b: 5, d: 3}.\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-9)\/60*4\/1)\/((336\/(-16))\/105).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"}
{"text":"Question: What is -243d (base 16) in base 3?\nAnswer: -110201121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -29950, -59752, -89552, -119350, -149146, -178940?\n\"Answer: q**2 - 29805*q - 146","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 1616128 and 354.\nAnswer: 4848384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-9)\/6*(-915)\/1647.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 52933 and 86?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from hgh. Give prob of sequence hh.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = -5*w**3 + 4*w - 4. Let c(x) = -x**3 + x - 1. Let r(f) = f**3 + f**2 - 5*f. Let m be r(-3). Let u be (5 - -1)*-1 - m. Determine u*j(b) + 12*c(b).\nAnswer: 3*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Divide -14017820 by 2803564.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Factor 12339910268*f**4 + 3452719402*f**3 - 20704527*f**2 + 81999*f\/2 - 27.\nAnswer: (7*f + 2)*(1522*f - 3)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (f**2 - 5*f**2 - 3*f**2)*(9*f - 7*f + 23*f) + 4*f**3 + 0*f**3 + 4*f**3 - f**3 + 3*f**3 - f**3.\nAnswer: -166*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 118150716?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*d**2 + 4*d**2 - 3*d**2 + 0*d + d**2 + 0*d + (-3*d + 3*d - d)*(-4*d - d + 4*d).\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.038 - 8.962. Let d = -4 - r. Suppose -4*m - 2*w - 2*w = 16, m = 3*w + 4. What is the second biggest value in m, d, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.113 + 0.112999385. Round k to 7 decimal places.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence yg when two letters picked without replacement from {y: 2, g: 9}.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -15240132 (base 7) in base 6?\nAnswer: -51104250","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express (13 + 1 - 1)*(-k + k - 5*k)*(5*k**3 + 2*k**3 - 3*k**3 + (0 + 0 + 3)*(-1 + 6*k**3 + 1)) in the form j*k**2 + r*k**3 + z*k + n*k**4 + c and give n.\nAnswer: -1430","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*o - o = 4*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Express (10*d + 77 - 77)*(-2*d + 4*d + 6*d + (-3 + 4 + 0)*(-3*d + 4*d - 2*d) - 2*d + 3*d - 2*d) in the form v + m*d**2 + n*d and give m.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 68591?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = a**2 + 7*a + 11. Let v be n(-4). Let r(h) = 3*h**3 + 2*h**2 + 2*h + 1. Let g be r(v). What is the units digit of g + -6*1\/(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -2.04 - 0.16. Let x = 2 + z. Let g = x + 0.4. Which is the second smallest value?  (a) -4  (b) 5  (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 490639 take away -507208?\nAnswer: 997847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 39538852.\nAnswer: 2, 9884713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s - 2*q = q - 417, 0 = 2*s - 2*q - 402. What is the tens digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = 2*d**2 - 8*d + 1. Let f = 913 - 899. Calculate the remainder when h(6) is divided by f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = -2141*m**3 + 2*m**2 - m**2 - 21 - 6*m + 2138*m**3. Is o(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 1 + 3*j**4 - 2*j**4 - j**4 - 2313*j - 2*j**2 + 2316*j - j**4 + 55*j**3 in the form a*j**3 + v*j**4 + c*j + z + y*j**2 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 282*o + 706 - 988 = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = -v**2 - 10*v + 6. Let h be p(-10). Let q be (-32)\/(-20) + h\/(-10). Let a = q + 1. What are the prime factors of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in -2, 0.03, -566?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 21049\/41405 - 2\/(-7). Let p = 1\/169 + g. What is the biggest value in p, -5, -2\/9?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -0.2  (b) -5  (c) 40  (d) -3.5  (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 18591 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.046 + -33.954. Let x = 35.7 + k. Let c = x - 2. What is the closest to 0.2 in 2\/7, 2\/3, c?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -18213075 divided by -59715.\nAnswer: 305","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence rx when two letters picked without replacement from ddpffrhxr.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*o**2 + 464*o + 137*o - 1010*o + 409*o.\nAnswer: 5*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = 6*z**2 - 9*z**2 + 13*z**2 + 3*z**2 + 3 - 18*z. List the prime factors of u(3).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -25, -93, -215, -397, -645?\n\"Answer: -a**3 - 21*a**2 + 2*a - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 45875*f*n*w**2 - 17*f*n*w - 6*f*w**2 - 7*f*w + n - 7665*w**2 wrt n?\nAnswer: 45875*f*w**2 - 17*f*w + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = -l**3 + 2*l**2 + 9*l + 37. Let r be a(0). Suppose t = -1, -5*h + 41 + r = 2*t. Solve -3*z + 12 = -3*g, g + 2*g - 4*z = -h for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 12 divide 14841700?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 406 - 282. Suppose -3*k = 3*x - 87, -k - 4*x = -5*k + c. Suppose -33*l + 48 = -k*l. Calculate the highest common divisor of l and 56.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = 37609*f - 19331022. What is c(514)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -1\/49  (b) 1\/134  (c) 1\/2  (d) -4  (e) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 9930?\nAnswer: 2, 3, 5, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.05?  (a) -0.3  (b) 1.7841  (c) -0.14  (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 179*m = 380 + 393 - 18 + 856 for m.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*(3 + 1*sqrt(175) - sqrt(175)*1*6))**2.\nAnswer: -1350*sqrt(7) + 39456","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) be the second derivative of -n**5\/40 - 8*n**4\/3 + 11*n**3 - 4*n - 249. Find x such that g(x) = 0.\nAnswer: -66, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = -j + 4. Let w be i(4). Let v = 2 - w. Solve 3*d - 2 = q, -v*d - d = -3*q for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-2*(-1 - 0))\/((-47289)\/180558 + (-4)\/(-21))\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 d and 1 m when two letters picked without replacement from {y: 1, m: 3, d: 2, i: 4, n: 4, h: 1}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 11\/63450 and -83\/211500.\nAnswer: 634500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 29 a factor of 339330055?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 777676 equal to 0.015?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t**4 - 2230*t**3 + 19888*t**2 + 22120*t = 0. What is t?\nAnswer: -1, 0, 10, 1106","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 540132383.\nAnswer: 7, 77161769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = -l**3 - 4*l**2 + 3. Let b be z(-4). Let g be b\/6 + (-21)\/(-6). Solve -o = -g + 1 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4 * 110\nAnswer: -440","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(35)\/(6*-1*sqrt(5) + sqrt(5)).\nAnswer: -sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1\/48652538 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = 3*g**2 - 6*g. Let k(b) = -813*b**2 + 411*b**2 + 403*b**2 + b. Give -5*k(c) - r(c).\nAnswer: -8*c**2 + c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 1 + -1954?\nAnswer: -1953","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 358, 716, 1074, 1432, 1790, 2148?\n\"Answer: 358*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -0.67  (b) -2  (c) 0.08018\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i - a - 236 = 0, 8*a + 8 = 12*a. What are the prime factors of i?\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = 12*z**2 + 2 - 3*z - 6*z**2 + z**2. Suppose t + 3*s = -10, -5*t + 5*s + 35 - 5 = 0. Let k be b(t). Calculate the greatest common factor of 60 and k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0.97 - -0.03. Let t = -0.99999999 + v. What is t rounded to 7 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 147*q + 26*q + 88*q = 2640 + 6234 for q.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 81.105 - 82.19819. Let r = q + 1.12118808. Let g = 0.028 - r. What is g rounded to 7 decimal places?\nAnswer: 0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2933 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 v and 1 a when two letters picked without replacement from {a: 5, v: 7}.\nAnswer: 35\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 20 + -34. Let f = q - -29. What is the greatest common divisor of 60 and f?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 7117, 7198, 7281, 7366, 7453?\nAnswer: 7542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8*q**2 - 8*q**2 - 7*q**2.\nAnswer: -7*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -584 divided by 4\nAnswer: -146","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -4*m**2 - 36*m + 4 - 7*m - 3*m**2 + 9*m**2 - 26*m to the form r + y*m + v*m**2 and give r.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 8\/103 in -2\/7, -2, -3\/7, 0.05, 2?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express 13 + 10*z**4 - 27 + 6 + 6 + 4*z as c*z + x + k*z**4 + u*z**3 + p*z**2 and give k.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = 11*g**5 - 6*g**4 - 25*g**3 - 23*g**2. Let i(k) = -16*k**5 + 9*k**4 + 38*k**3 + 34*k**2. Let t(j) = 7*f(j) + 5*i(j). Determine c, given that t(c) = 0.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 j and 2 u when three letters picked without replacement from {u: 2, j: 7, d: 11}.\nAnswer: 7\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 33 + -32. What is the greatest common factor of t and 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -1468a - 7?\nAnswer: -14696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 1 - 2*x)*(-2776*x**2 - 4 - 1 + 2879*x**2).\nAnswer: -206*x**3 + 10*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 42 minutes before 8:01 AM?\nAnswer: 7:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 50752394713 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = t**3 - 8*t**2 - 2*t + 5. Let p be r(6). Let h = p - -81. Suppose 0 = l - h - 1. Solve 2*c + x - 1 = -3*c, 0 = l*c - x + 1 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) be the first derivative of -f**3\/3 - f**2 + f + 2. Let t be q(-3). What is the remainder when 4 is divided by 2*t\/(-12)*9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2341?\nAnswer: 2341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = -3*r**2 + 9. Let c(z) = 2175*z. Determine a(c(i)).\nAnswer: -14191875*i**2 + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1044 divided by -6.\nAnswer: -174","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = -30*y - 300. Let f be w(-10). Solve -2*u + 7*v - 2*v + 26 = f, -2*u - 16 = 2*v for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 141 and -0.2359754337?\nAnswer: 141.2359754337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) be the first derivative of -o**4\/34 - 190*o**3\/51 - 276*o**2\/17 + 931. Factor m(g).\nAnswer: -2*g*(g + 3)*(g + 92)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 16*z = -5*a - 28 - 42, -8*z - 42 = 126*a - 127*a for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -0.1078, 2, -4, 1\/3?\nAnswer: -0.1078","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -5*h*l*u**2 + 3*h*u - 3*h - 86*l - 5*u**2 wrt u.\nAnswer: -10*h*l*u + 3*h - 10*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 11 - 7. Let y be u\/(-26) + 8\/52. Solve -r - 4 = -y for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*o**3 + 3*o**3 + 0*o**3 + (2*o + 4*o**2 - 2*o)*(1 - 1 + 2*o).\nAnswer: 9*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + ((sqrt(63)\/sqrt(144) + 3)*-1 + 3)*5.\nAnswer: -5*sqrt(7)\/4 - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -22*m + 23*m - 9. Suppose 0 = 15*v - m - 66. Suppose -3*d = 4*n - 4271 - 1325, d = -v*n + 6995. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -30 + 27. Let z = 27 + k. Let n = 23.981 - z. Round n to 2 decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 6 and 69.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -11788 + 5900 + 5892 - a - 1289*a**3 to the form c*a + z*a**2 + q + j*a**3 and give q.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-8 - (-63 + 8 - -6)) + -6 - (-7 + 2).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + (1*sqrt(2600) + sqrt(3744) + (1*sqrt(3744) - sqrt(3744)) + sqrt(3744))\/(-2*2*sqrt(200)).\nAnswer: -17*sqrt(13)\/20 - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -1869 - 11*u**2 - 305*u**3 + 12*u**2 + 305*u**3 + 788*u**5 + 1 wrt u?\nAnswer: 47280*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (4\/(-2))\/(-1) - (20 + -70021 + -16) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 9, -3.55, -570.\nAnswer: -570, -3.55, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 26 a factor of 245?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*a = -34*a + 186 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}