{"text":"Question: Let r = 10 - 16. Let l = -8 - r. List the prime factors of 1\/(l*(-2)\/24).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (r + r - 3*r)*((-3 - 2 + 1)*(-3*r + 0*r + 2*r) + 2*r - r - 2*r) to w*r + i + f*r**2 and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 7 + -25. Let j be (-34)\/(-10) - i\/30. Let l = 8 - j. What is the remainder when 10 is divided by l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence sf when two letters picked without replacement from {l: 4, u: 5, f: 1, c: 5, s: 4}.\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((0 + sqrt(325) + sqrt(325)*3*5 + (2 + sqrt(325))*-6 + 0)*-3)**2.\nAnswer: -10800*sqrt(13) + 293796","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 26\/13*(7 - 1). Let h be 0 - (-4)\/(c\/(-15))*-2. Suppose 3*m - h*m + 868 = 0. List the prime factors of m.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.537096466 rounded to 1 decimal place?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = -8 - 1991*w**3 + 14*w + 1990*w**3 + w + 14*w**2. Give o(15).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ndbnibnnnbv. What is prob of picking 1 n and 1 v?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 543 minutes before 7:41 AM?\nAnswer: 10:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*sqrt(200)*-4)\/(sqrt(800)\/sqrt(5)).\nAnswer: -2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 1957*i**3 - 101*i**2 + i + 1 wrt i.\nAnswer: 11742","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:46 AM and 4:18 PM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (x + 0*x - 3*x + (-2 + 2 + 2)*(x + 5*x + 2*x))*(-4*x**2 - 2*x**2 + 2*x**2).\nAnswer: -56*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.001*-22.\nAnswer: 0.022","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 43 - 13. Does 5 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + sqrt(132)\/(1*sqrt(12)).\nAnswer: sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 524 (base 6) to base 3.\nAnswer: 21021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, -14, -3, 7, -23, 0.3 in descending order.\nAnswer: 7, 0.3, -3, -5, -14, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -402*s + 726*s + 4212 for s.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 492 minutes before 12:24 PM?\nAnswer: 4:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 678099.49674 + -678129. Let h = 29.5 + c. What is h rounded to four decimal places?\nAnswer: -0.0033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"}
{"text":"Question: Factor q**3 - 121780*q**2 + 243556*q.\nAnswer: q*(q - 121778)*(q - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -43\/10235 and -1\/3560?\nAnswer: 81880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Product of -68 and -0.093482.\nAnswer: 6.356776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -0.9 times -90\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -662 = i - 256. Let c = i - -868. Suppose -5*a + c = -283. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -31, 4, -3, -22, -6, -4 in decreasing order.\nAnswer: 4, -3, -4, -6, -22, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify b**0\/(b*b\/b**(-2\/9))*b**(-5\/2)\/b*(b\/b**(-4)*b)\/b assuming b is positive.\nAnswer: b**(-13\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/7?  (a) -0.2  (b) -2  (c) -1041  (d) -3  (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) be the second derivative of -g**4\/12 - g**3\/6 + 7*g**2\/2 - 11*g. Give l(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1197)\/(-266)*4\/(-18).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2086248, 4172561, 6258874, 8345187, 10431500?\nAnswer: 12517813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is (1\/3)\/((8\/144)\/(-1))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 4075?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Put together -0.053904892 and 111.\nAnswer: 110.946095108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -19, 0.005, 0.29, -4, -1\/8?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -32800119 - 32800145 + 65600264 - 2*g.\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 389*z**2 - 1139*z**2 - z**3 - 885*z**2 - 475*z**2 + (5*z**2 + 0*z**2 - 3*z**2)*(-z - 4*z - 3*z) to y*z**2 + o + u*z**3 + x*z and give y.\nAnswer: -2110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1907?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 57 + 43. What is the tens digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*u = 12*u + 36 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Product of -4 and -3227.\nAnswer: 12908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -32*m + 145 - 57 + 31*m.\nAnswer: -m + 88","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 4.58, -1\/3, 0.1?\nAnswer: 4.58","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) be the first derivative of v**4\/4 - 7*v**3\/3 - 5*v**2 + 10*v - 14. Give t(8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = 3*f**3 - 2. Let h be g(-2). Let l = h - -67. Is l a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = -8*h - 2. Let d be g(-6). Suppose 0 = -2*v - 3*i + 3, -1 = -v + 5*i + 7. Suppose v*f - f = d. List the prime factors of f.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = j + 1. Let m be n(3). Let r = -9 + 9. Let i(t) = 2*t - 7 - t**2 + r*t**2 + 6. Calculate i(m).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*y = 45 - 10. Let a(s) = -3*s - 24. Let x be a(y). Is 15*(x - (-96)\/20) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*i - 293391 = -4*g, -21*i - 73367 = -g - 25*i. What is g rounded to the nearest ten thousand?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (2 - 4)*(-37)\/(592\/64). Sort 1, -1, o, 4, -5 in descending order.\nAnswer: o, 4, 1, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {c: 5, i: 1, l: 1, y: 1, w: 6, v: 3}. Give prob of sequence vlv.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 t and 2 m when four letters picked without replacement from {m: 3, u: 7, t: 2}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -69 = -2*z + 49. Suppose z = 5*a + 14. Is a a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (46 - (-2992)\/(-64)) + (-27)\/28.\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l - 304 = -14*l. Suppose 2*i + 11 = l. Suppose -x = -2 - 1. Which is the second smallest value?  (a) x  (b) -8  (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1110 (base 8) in base 16?\nAnswer: -248","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -37 + 128. List the prime factors of z.\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1d4e06 (base 16) to base 9.\nAnswer: -3546408","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = 119*j**3 - 17*j**2 + 17. Suppose 7*i = -3*w - 44, i = -4*i - 3*w - 34. Let y(d) = 34*d**3 - 5*d**2 + 5. Give i*g(f) + 17*y(f).\nAnswer: -17*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*z - 6 = 3*z + 4*d, 5*z - d - 9 = 0. Let a be 1\/z - (-17255)\/(-34). Let j be -5 + 1 - a\/129. Which is bigger: 1 or j?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -g - 25 = 5*s, -4*s + 135 - 144 = 3*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*j**2 - 11*j**2 + 237*j + 515*j - 52*j.\nAnswer: -13*j**2 + 700*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-9)\/21 + (330\/42)\/(-5). Suppose 2*a - 45 = -5*q + 80, 95 = 5*q - 4*a. Let j = 24 - q. Sort c, -3, j, 2 in decreasing order.\nAnswer: 2, j, c, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 43623 + -40718. Is g a multiple of 83?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = 4*u**2 + 8*u - 7. Let n be w(-4). Suppose 4*s = 9*s + n. Do s and 2\/3 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = l**2 - 84*l - 4795. Determine w(123).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 45.62489g in milligrams?\nAnswer: 45624.89","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 2 + -2.1. Let i = 78.0205 + -77.9. Let d = i - 1.1205. Which is the closest to u?  (a) -5\/4  (b) -2\/11  (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 17290 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence bbn when three letters picked without replacement from bbbnnbnbbb?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -3?  (a) 2\/3  (b) -10  (c) 10  (d) -46\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) be the first derivative of -4*f**6\/45 - 16*f**3\/3 - 12. Let v(n) be the third derivative of j(n). Let d(k) = 3*k**2 - 4*k**2 - k**2. Calculate v(d(a)).\nAnswer: -128*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -3101333 (base 4) to base 11\nAnswer: -a108","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 7079585 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 is the next term in 41, 72, 151, 302, 549, 916, 1427, 2106?\nAnswer: 2977","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (8\/14)\/(2\/7). Suppose 0 = -4*z + n + 3 + v, -z + 3*n - 7 = 0. Find d such that 2\/5*d**z + 0 + 0*d = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -1528*f**3*r**3 + f**3*r**2 - f**2*r + 2*f**2 + 473*f*r**2 - 6*r**3 wrt r.\nAnswer: -9168*f**3 - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -3*430\/150 + (-9)\/(-1)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 702 minutes after 4:10 AM?\nAnswer: 3:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (m - 1 + 1 + (2*m + 0*m - 3*m)*(-1 - 1 - 10))*(0 + 8 + 10) to v*m + p and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {z: 1, m: 1, w: 2, h: 1}. What is prob of picking 1 z and 1 h?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.04?  (a) 0.1  (b) -5  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*v + 6*j - 102 = 28*j, -5*v + 0*v + 4*j = -40 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 1\/2*(4 + 0). Suppose -u - 1 = -5. Solve -i*m + 2 = 0, u*k + 6 = -0*m + 2*m for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = -o**3 + 28*o**2 + 2*o - 124. Calculate m(28).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round -115990.3 to the nearest one thousand.\nAnswer: -116000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 89340960 rounded to the nearest 100000?\nAnswer: 89300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is (40\/75)\/(296\/(-185))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 2433 + 536. Which is smaller: 2970 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6*v**2 + 116*v + 101*v - 217*v.\nAnswer: -6*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*n = -4*h + 10, n + 0*n - 5*h + 14 = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-3 - -2)*3 - -98. Let g = 189 - k. Is g a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1076783 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = 2*m**2 + 3*m. Let g(l) = -438*l**2 + 21*l + 1246. Let v(h) = -g(h) + 7*s(h). Differentiate v(r) with respect to r.\nAnswer: 904*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 1322 + 4*g**2 + 150*g - g**2 - 1034.\nAnswer: 3*(g + 2)*(g + 48)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 6 + -4. Suppose -5*q + 5 + 4 = 2*x, -4*x - 18 = -k*q. Suppose 3*o - 57 = y + q*y, y = 0. List the prime factors of o.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*p - 6*p + 0*p)*(4 + p**3 - 4) + (3*p**3 - 3*p**3 + 2*p**3)*(-3*p + 0*p + p)*(-2 - 2 + 7).\nAnswer: -14*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 47 and 141?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 70802 + -1274917\/18. Let j = o + 61\/3. What is the common denominator of j and 103\/10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:02 AM and 8:14 PM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 3253725 to the power of 1\/3, to the nearest integer?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -149\/370560 and -137\/53880.\nAnswer: 166381440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = 1455*p - 516538. What is b(355)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:22 PM and 12:47 AM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = r**3 + 5*r**2 + 2*r - 3. Suppose -2*k + 3*s - 10 = -3*k, -3*k + 2*s - 25 = 0. Calculate b(k).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 245*h - 250*h + 5*a = 10, 6*h + a = -2*a - 12 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = -8*b**3 - 2*b**2 + b - 1. Let w(n) = -23*n**3 - 5*n**2 + 3*n - 2. Let o(j) = 17*i(j) - 6*w(j). Is o(4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 23\/60 - 2\/15. Which is the closest to 0.1?  (a) s  (b) 4  (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*sqrt(156)*6)\/(-5*sqrt(108)) - (sqrt(26)\/sqrt(2) + -2 + -2*sqrt(637) + -1).\nAnswer: 3 + 63*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 76141 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -5 - (-3 + -6 + -10) - 30\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -681 + 1123 + 944 = -99*d for d.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = o**3 + 9*o**2. Let l be w(-9). Let g = l + 0. Which is the third biggest value?  (a) g  (b) 5  (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q + 5 = -5*i, -q + 0*i + 29 = 3*i. Calculate the remainder when q is divided by -2 - -4 - (-1 - 4).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 243557618?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1\/252 - -53\/756. Suppose 5*x - 2*s - 1 = 0, 0*s = 3*x + 5*s - 13. Which is bigger: x or z?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together -226469 and -35495610.\nAnswer: -35722079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((d*d*d**(2\/13))\/d**(2\/37))\/(d*d*((d\/(d\/(d\/d**(1\/2))))\/d)\/d*d)**(-19))**(-38))**(-39) assuming d is positive.\nAnswer: d**(1677909\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) be the first derivative of -3*l**5\/5 + 51*l**4\/2 + 71*l**3 + 54*l**2 - 1342. Factor w(u).\nAnswer: -3*u*(u - 36)*(u + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1 - -6. Let s(z) = 0*z**3 - 5*z**2 + z + 0*z - 6 + z**3. Give s(g).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*u - p + 556, 3*p - 5*p = u - 278. Calculate the remainder when 904 is divided by u.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 73893860 + 74689348. Let g = -86783208 + h. What is g rounded to the nearest 1000000?\nAnswer: 62000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 409791133?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 145992 and 133826?\nAnswer: 1605912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 620547 and 393?\nAnswer: 393","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*j + 4 = 2*g, -101*j + 104*j - 2*g + 9 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange ((-3*b - b + 2*b)*(0 + 4 - 3) + 3*b + 39*b - 33*b)*(2*b**3 + 29 - 34 + 0*b**3 - b) to r*b**2 + o + i*b**3 + f*b**4 + p*b and give r.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -13 + 12.3. Let n = f + 2.7. Which is the closest to -1?  (a) 0  (b) n  (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -579 - -587.21. Let x = l - 0.21. Let u = x + -10. Which is the second smallest value?  (a) 0.5  (b) u  (c) -0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 974 is divided by 158?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 104565?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 1 + 14*f**3)*(0 + 1 - 2)*(9 - 12 + 5).\nAnswer: -28*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0002025 to seven decimal places.\nAnswer: 0.0002025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -59039, -118422, -177805, -237188, -296571?\n\"Answer: -59383*z + 344","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 3092351 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = -169*o - 15351. What is z(-91)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 0 + ((-4)\/(-2) - 1). Let a(w) = -2*w + 4 + 2 + 12*w - 5. What are the prime factors of a(m)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence nk when two letters picked without replacement from kkkkkklkyckkkkknkkkk?\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 1959 bigger than -0.23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (42\/(-56))\/((-6)\/40). Let o(f) = 4*f**2 - 3*f. Let i be o(2). What is the greatest common divisor of i and d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (11*(-13)\/(-143))\/((-1)\/2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Are -162041 and -162047 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 315953007 to the power of 1\/2, to the nearest integer?\nAnswer: 17775","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = -2*v**3 - 57*v**2 - 2967*v - 86877. Determine h(-29).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-771)\/1028*(-56)\/(-30).\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in nine tenths of a meter?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -8286, -66246, -223564, -529920, -1034994, -1788466, -2840016?\nAnswer: -4239324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*z = -5*p - 0 + 20, -p = -3*z - 4 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from djqwvqjqqvqqv. What is prob of sequence wvqj?\nAnswer: 3\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -3325804, -3325807, -3325810, -3325813?\n\"Answer: -3*g - 3325801","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 5408142 and 1110?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -1627 - -1012.5. What is u rounded to the nearest one hundred?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 11, -5, 8, -4 in decreasing order.\nAnswer: 11, 8, 3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.002030665 rounded to six decimal places?\nAnswer: -0.002031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 r, 2 w, and 1 q when four letters picked without replacement from {w: 2, q: 1, y: 2, r: 1, p: 2}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*m**2 + 3*m**2 + 0*m**2)*(3*m - 3*m + 2*m)*(-m + 2*m - 2*m).\nAnswer: -2*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1.63294811*-2.\nAnswer: -3.26589622","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Does 19 divide 35720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = g**2 - 6*g - 4. Let b be h(7). Suppose 3*w - 4*w + b = 0. Suppose 2*c = -w*c + 225. What is the greatest common factor of c and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -104*u + 7*u + 550555 = -1384401. What are the prime factors of u?\nAnswer: 2, 4987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -7347*g**4 - 10*g**2 + 7413*g**4 - g**2 - 2*g**4 + 2*g**3 - 2*g**3 + (3 - g - 3)*(2*g + g**3 - 2*g) as r*g**3 + m*g**4 + p*g**2 + w*g + c and give m.\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = -b**3 - 13*b**2 + 10*b - 10. Suppose 6*f = 9*f + 42. Is q(f) a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 3 - 0. Find the second derivative of 3*k**5 + p*k - 5*k**5 - k wrt k.\nAnswer: -40*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = -o**2 + 6*o + 4. What is the remainder when k(3) is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1885387, 3770775, 5656163, 7541551, 9426939, 11312327?\nAnswer: 13197715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -9?  (a) 535\/11  (b) 2\/5  (c) -4  (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) be the first derivative of b**5\/60 + 5*b**4\/24 + 3*b**2 + 37. Let p(h) be the second derivative of a(h). Let x = 3 - 7. Determine p(x).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -3174*j*u*v + 3*j*u - 104798376*j*v + 5103*u*v wrt u?\nAnswer: -3174*j*v + 3*j + 5103*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = 3*a + 6. Let x be y(-2). Suppose 2*f + 2*f - 80 = x. Let s = -8 + f. Calculate the lowest common multiple of s and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.1506+1\nAnswer: 0.8494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = 38527*v + 3634. Is u(15) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -3.380446534 to 1 decimal place.\nAnswer: -3.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m + 44 = -460. Let t = m - 168. Solve 4*p + 3*p = t for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*m + 2*h = 7*h + 5, -5*m + 2*h = 7 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 331104167 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = 12*j - 36. Let l be (-2 + 6)*(140\/(-16))\/(-7). List the prime factors of u(l).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 30259.\nAnswer: 30259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 17439327?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -s - 13*m + 14, 4*s - 37*m + 33*m = -s + 1 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = -747*m + 1. Let p(v) = 5*v**2. Calculate p(n(f)).\nAnswer: 2790045*f**2 - 7470*f + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -93*s + 69 = -70*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (197*o + 2139 - 2139)*(5 - 5 - 7*o)*(-2 + 6 - 2)*(0*o - 3*o + 4*o + (o - 4 + 4)*(2 - 1 + 1) - o + 3*o - o + (-1 + 2*o + 1)*(2 - 1 + 1) - 2*o + o - o).\nAnswer: -16548*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 47\/2454752 and -101\/598720.\nAnswer: 24547520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 9623 is divided by 3992.\nAnswer: 1639","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = 31*v. Let r(q) be the first derivative of 0*q**2 - 59 + 1\/3*q**3 + 0*q. Determine r(t(d)).\nAnswer: 961*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (618*b - 618*b - 26*b**2)*(0*b**2 + 0*b**2 - b**3 + (-6 + 3 + 1)*(-b**3 + 0 + 0)).\nAnswer: -26*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 67414302 to the nearest integer?\nAnswer: 8211","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from {t: 1, h: 2, x: 4, p: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 9279436?\nAnswer: 2, 379, 6121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2131?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is (62 - 51) + 21 - -2?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 3.12567848 rounded to 3 dps?\nAnswer: 3.126","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 6921.299246 + 117.449454. Let l = 7038.138699504 - z. Let k = 0.61 + l. Round k to 7 decimal places.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -5*f**2 - 15946735*f = 0. What is f?\nAnswer: -3189347, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1931954 is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) be the third derivative of g**4\/8 - g**3\/2 + 4*g**2. Let a(c) = -3*c + 2. What is 3*a(j) + 2*i(j)?\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 1 - 3*q)*(-1943 + 2*q - 3*q + 40 + 4443).\nAnswer: 3*q**2 - 7620*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*(sqrt(147) + ((sqrt(147) + 1)*1 - sqrt(147))) + -6*(-2 + 2*-1*sqrt(3)))**2.\nAnswer: -256*sqrt(3) + 832","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -94.5425 rounded to the nearest ten?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (0 - 2)*(-10)\/4. Let u be 2*-1 - 17\/(102\/(-16)). What is the smallest value in -2, u, w?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 27\/5 of a litre in millilitres?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 22555 and 6710.\nAnswer: 30268810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v\/(v**(6\/7)\/v)*v*(v\/v**(-9))\/v*v\/(v**(-1\/6)\/v)*v\/(v\/(v\/(v*v\/(v*(v**(1\/5)*v)\/v)*v))))**(-7) assuming v is positive.\nAnswer: v**(-2627\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort -201944, -16, 0.\nAnswer: -201944, -16, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is one tenth of a microgram in nanograms?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*w - 15*w + 1786707 + 27*w - 1786707 - w**3 - 7*w.\nAnswer: -w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v\/(v**(-12\/7)*v)*v\/((v*v**(-33)\/v*v*v*v)\/v))\/(v**(-4)*v\/v**(-33)) assuming v is positive.\nAnswer: v**(26\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Convert 7.455339 milliseconds to nanoseconds.\nAnswer: 7455339","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14 = -2*n + 4*d, 0 = 2*n + 5*d - 14 + 19 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.041 + -0.041. Which is the closest to -2\/3?  (a) 1\/2  (b) -9  (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -70.073 - -4.078. Let o = 66 + f. Let c = o - -0.495. Put c, -0.2, 0.2 in decreasing order.\nAnswer: c, 0.2, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 236.896 - -0.104. Let u = -227 + o. Which is smaller: u or 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1827\/40 >= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(24)\/sqrt(8) + -3 + -1)**2.\nAnswer: -8*sqrt(3) + 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*((-2 + sqrt(700))*1*-2 - (5 + ((sqrt(700) - -2*sqrt(700)) + sqrt(700))*-3))*-6)**2.\nAnswer: -115200*sqrt(7) + 40320576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 183845796?\nAnswer: 2, 3, 15320483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Divide 6589128 by 941304.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 m and 1 x when three letters picked without replacement from vymvyxmyyyvvmmv?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Does -1\/154700183 = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 21433 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = -1118*p - 1086. Give x(-1).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 2, 9, -5 in decreasing order.\nAnswer: 9, 2, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + (sqrt(38)\/sqrt(2))**2 - sqrt(19)) + -3*sqrt(57)\/sqrt(3).\nAnswer: -4*sqrt(19) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -6 + 0. Let s(c) = -c**2 + 8*c + 3. Let u(x) = -x**2 + x. Let i(k) = -s(k) + 2*u(k). Determine i(g).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 2\/127 - -240\/889. Let u = 0.1 + -0.1. What is the nearest to u in -4, v, 3\/2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -53 + 149 - j**3 + 53*j**3 - 263 wrt j?\nAnswer: 156*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand c + 6 - 6 - c + 0*c + 0*c + (-2 + 4 + 0)*(-3 + 3 + 2*c) - 2*c + c - 2*c + (-2 + 1 + 3)*(-4*c + 3*c - 2*c).\nAnswer: -5*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 98, 108, 120, 134, 150, 168, 188?\n\"Answer: p**2 + 7*p + 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-3)\/63*-7*2.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 1030616*p**3 + 2*p**2 + 4*p - 139110 wrt p?\nAnswer: 6183696","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + 1 + (2*sqrt(114))\/sqrt(6) + 3*(sqrt(19) + 0) + (sqrt(152) - -5*-1*sqrt(152))\/(sqrt(32) + sqrt(32) + sqrt(128)).\nAnswer: 5 + 9*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = -w**3 - w + 12. Let g be l(0). Let n be (200\/g*-2)\/((-2)\/6). Suppose 47*x = 52*x - n. Is 4 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 26*j*m**4 - 56*j*m**3 - 3*j - 2*m**4 - 4*m**3 + 19953735*m**2 wrt m.\nAnswer: 624*j*m - 336*j - 48*m - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -j**4*v - 42*j**4 - 7*j**3*v**3 - j**3 - j**2*v - 9*j*v + 14*v**3 - 232*v wrt j?\nAnswer: -24*j*v - 1008*j - 42*v**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = -4*d**2 - 12*d + 1319. Let c(q) = -q**2 + 3*q + 11. Let o(l) = 5*c(l) - f(l). What is the derivative of o(s) wrt s?\nAnswer: -2*s + 27","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = u**3 - u**2 + 1. Let c(m) = -7*m**3 + 6*m**2 + m - 6. Let d be 11 + -9 - ((-9)\/1 - -5). Give d*y(t) + c(t).\nAnswer: -t**3 + t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence eoh when three letters picked without replacement from {o: 3, e: 1, h: 5}.\nAnswer: 5\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is (-25 - -2) + -31 + 76 + 3?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 806214838.\nAnswer: 2, 11, 13, 216841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2?  (a) 0.5  (b) -6\/11  (c) -0.2  (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 182 and 609.\nAnswer: 15834","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -6  (b) -1\/3  (c) -5  (d) -3  (e) -627\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 1  (b) -0.1  (c) -482\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -33*s + 32*s = 3. Let r be s\/(-1) + (4 - 3*-21). Suppose 6*i = 8*i - r. List the prime factors of i.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 727160865 to the power of 1\/7, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -4\/9?  (a) -5\/2  (b) 3.02  (c) -34\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 181834615 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = -n**3 + 9*n**2 + 9*n - 77. Let w be q(9). Solve 4*f + 2*t + 8 = -2, -w*t + 40 = -4*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -247 + 546 = -23*a for a.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -383, -5745, -20291, -48611, -95295?\nAnswer: -164933","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth biggest value in -0.4, 3, -3\/376, 0.5, -0.07, -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-8)\/10 + (-3)\/(-3). Suppose -3*b + 38 = 26, -2*k + 4*b = 12. Factor -2\/5*m**k + y*m + 0 + 1\/5*m**3.\nAnswer: m*(m - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 + (9 + -20 - -7) - -21?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = -2*u**2 - 397*u - 19133. Determine m(-116).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0258324 to four decimal places.\nAnswer: 0.0258","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-48 + 80 + 94)*(134 + 14*k - 134).\nAnswer: 1764*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = -z**2. Let t(s) = -11710*s**2 - 2*s. Give t(j(r)).\nAnswer: -11710*r**4 + 2*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 37\/928448 and 87\/2492.\nAnswer: 6499136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1876 + 4424 = 75*g - 145*g - 230*g for g.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -14 - -14. Is -0.8 less than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = 5*j**4 - 2035*j**3 + 214250*j**2 - 5*j + 5. Let g(w) = 7*w**3 + w**2 - w + 1. Let m(t) = -a(t) + 5*g(t). Let m(f) = 0. Calculate f.\nAnswer: 0, 207","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 3\/2, -1, -2.2, 1\/4 in ascending order.\nAnswer: -2.2, -1, 1\/4, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) -4  (b) 0.1  (c) -1  (d) 3\/484\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 3564620865?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 46468?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 1578424075 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 90263568 is divided by 440310?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = -35*r + 2. Let m(s) = s**2. What is f(m(g))?\nAnswer: -35*g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 22*u = 16*u + 3408. What is the remainder when u is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 652 minutes before 10:26 PM?\nAnswer: 11:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 3663.5 minus -18523231?\nAnswer: 18526894.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = -2*r. Let b(j) = -9*j**2 - 166*j. Determine z(b(i)).\nAnswer: 18*i**2 + 332*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let 4*b**5 + 4*b**4 - 20*b**3 + 12*b**2 = 0. What is b?\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) be the first derivative of j**2\/2 - 65. Calculate x(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 310304\/7161 - -2\/2387. Let f = 44 - x. Let s be 5\/(-60)*(-3)\/(-2). Which is the third biggest value?  (a) f  (b) s  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 100\/(-2050) + 266\/410\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = 8*d**3 + 6*d**2 + 5. Let a be (-129)\/(-2193) - 376\/34. Let f(n) = -17*n**3 - 11*n**2 - 9. Determine a*y(m) - 6*f(m).\nAnswer: 14*m**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 5*-14\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from fffffssnfsnud. Give prob of sequence fsun.\nAnswer: 3\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 33210203103 (base 4) in base 7?\nAnswer: 46460340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 3600438498?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*h = h + 3 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*s + 2*n = 8, -5*s - 2*n = 3*n + 10 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-559)\/172*2*2?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 2\/(-84)*1708\/(-122)*183\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 13821, 13828, 13847, 13884, 13945?\nAnswer: 14036","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -158*t**4 + 5*t**2 + 13*t - 3284.\nAnswer: -632*t**3 + 10*t + 13","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 9564*d**3 - 39*d**2 - 9593*d**3 - 50*d**2 + 89*d**2.\nAnswer: -29*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = 12*a**3 - a**2 - 10*a + 11. Let z be o(3). Let s = -294 + z. Solve 6*x - s*x = b - 8, -12 = -3*b for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11*o + 216*y - 215*y + 250 = 0, -3*o - 57 = 4*y for o.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 7119?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Do 238401 and 238318 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 113783200 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = -z**2 - 5*z + 3. Let w be g(-5). Suppose 11 = w*j - 1. Let h = -35 + 39. Solve 4*q - 4 = s, -3*q + h = -j*s + 1 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j - 4*c - 182 = 0, 3 = 2*c + 11. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = -9701*r**3 + 17*r**2 + 14*r + 66. Let p be m(-11). What is p rounded to the nearest one million?\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 70 a factor of 44825?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from yzzzzzvyzdvdszz. What is prob of sequence sd?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1814 is divided by 101.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 3569 - 3525. What is the smallest value in -2\/43, -5, d?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = f, -3*y - 3*f = -0*f. Suppose -35 = -13*p + 17. Find the third derivative of -h**5 + 2*h**2 + p*h**5 + y*h**5 wrt h.\nAnswer: 300*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 13 divide 6357?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Factor c**4 + 6*c**2 - 20126*c + 20183*c + 23*c**3 + 73*c**2.\nAnswer: c*(c + 1)*(c + 3)*(c + 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 192\/(-384) + 151*(-26)\/(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 31450 and 700?\nAnswer: 440300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9 - 123 = 22*q for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2062760 is divided by 128905.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 31988?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -10 + -110331021123?\nAnswer: -110331021133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 12051810 is divided by 12051799.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 396.37 - 397.911. Is g equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = 2*f. Let w(r) = 80*r + 2. What is w(m(z))?\nAnswer: 160*z + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 24 - 20. Suppose 4 = 2*v - 2*h, r*v - 3*v = -5*h + 14. Suppose 5*n = -2*i + 13, -v*n = -n - 15. Which is bigger: -7 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 41958 - 0.4.\nAnswer: 41957.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = -b**3 + 52*b**2 + 4347*b - 11791. What is f(96)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = -46*z + 5. Let m(q) = 92*q - 8. Let w(g) = -6*m(g) - 10*u(g). Differentiate w(a) wrt a.\nAnswer: -92","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:27 AM and 9:05 AM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + -5*(sqrt(12) - -1*sqrt(12))**2.\nAnswer: -238","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-8)\/6)\/(157\/(-471)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 31 or 43?\nAnswer: 31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.068 take away 1058470678220?\nAnswer: -1058470678219.932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 60264, 120532, 180800, 241068, 301336?\n\"Answer: 60268*m - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 2\/(-2) + 4200 + 12*14\/(-28). What is the highest common factor of u and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 25345 + 312?\nAnswer: 25657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from dhhyvyhhdd. What is prob of picking 1 v and 1 h?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 39*u - 67*u + 105280 = 0. List the prime factors of u.\nAnswer: 2, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15 = 4*u - 2*d + 7, -29 = 3*u - 4*d. Let j = u + 2. Let h be 16\/6 + (j - 1). Which is smaller: h or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -2*(10\/4 - 1). Suppose 3*m + 6 = -3*z, 2*z + 5 = -4*m + 1. Put 7, w, z in descending order.\nAnswer: 7, z, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -99, -198, -297, -396, -495?\nAnswer: -594","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 15, -4, -2189, 1, 0.\nAnswer: -2189, -4, 0, 1, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((-2)\/(-16))\/(1253\/1432). Let s(d) be the second derivative of 0 + 1\/10*d**5 - 7*d - 2\/7*d**2 + c*d**3 + 2\/7*d**4. Factor s(r).\nAnswer: 2*(r + 1)**2*(7*r - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*v = 28, 81*v - 100*v = -z - 263 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 316409?  (a) -2  (b) 2\/141  (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -507*k**5*r**2 - 4*k*r**2 - 20*r**2 wrt k?\nAnswer: -10140*k**3*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Do 0.042 and -3\/10 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.5 and -46166.\nAnswer: -23083","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: (-4 - (5 + -7)) + 3 + 7\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-12)\/(-33)*-1*-1. Let c = 4940.8 - 4941. What is the biggest value in 3\/4, w, c, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*n + 2*g + 773 - 785 = 0, -13 = 5*n - 3*g for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -17209, -17183, -17157?\n\"Answer: 26*u - 17235","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -191542 - -14\nAnswer: -191528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 6 + (9\/3)\/(-3). Let c = 10 - 18. Let r(m) = -m**2 - 9*m - 6. Let s be r(c). Solve s*j - 2 = f*n - 12, 0 = -4*n + 4*j + 20 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f = 3*a - 80, -4*a + 4*f - 2*f + 110 = 0. Let z be ((-10)\/(-330)*-11)\/((-1)\/24). What is the greatest common factor of z and a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 4\/(-22)*(-3 + 2). Let u = 12.5 + 8.5. Let a = u - 16. What is the nearest to 1 in 0, l, a?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-488)\/12)\/(8*76\/(-912))\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 71*x**2 - 3*x**2 - 10*x**2.\nAnswer: 58*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((-92)\/12)\/(21\/(-9) - -2). Suppose -29 = 2*p - h. Put p, -1, 3 in ascending order.\nAnswer: p, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = 6961*h + 13910. Determine l(-2).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find z such that -4*z**5 + 668*z**4 + 2052*z**3 - 2012*z**2 - 4784*z + 4080 = 0.\nAnswer: -3, -2, 1, 170","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:29 AM and 2:33 PM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(1216) + 1)*3 + (2*(0 + sqrt(1216)) - sqrt(1216)))**2 + (sqrt(1216) + -1 + -2)*-6.\nAnswer: 144*sqrt(19) + 19483","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-158)\/(-3)*(2 + -14)\/(-4). Let n = i + -137. Is 43\/2 equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 11 + (-2 + -3 - (49 + -12))?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (3 - (-7)\/(-1)) + 11\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -37785726278 less than 71?\nAnswer: 37785726349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) be the second derivative of -i**6\/180 - i**5\/10 - 3*i**4\/4 - 3*i**3 - 27*i**2\/4 - 5*i. Factor v(h).\nAnswer: -(h + 3)**4\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3168496\/17 less than 186382?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is (-208)\/156*30\/20?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 2225 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from iiiiiiiiriiiiiiiiii. What is prob of sequence ii?\nAnswer: 17\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Do -25316589 and -25316595 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 60 and 425.\nAnswer: 5100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 28 - 27 - (5 + 0)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -1710216 divided by 12?\nAnswer: -142518","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Work out -13 * -50995.\nAnswer: 662935","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-33)\/852*1)\/(111\/(-444)). Which is bigger: 0 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = -2*t. Let f(o) = 186*o**2 - 152*o**2 + 62*o**2. Determine f(b(q)).\nAnswer: 384*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 3?  (a) 6  (b) -7\/3  (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 1709 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand 30*x**3 + x**2 - 15*x**3 - 14*x**3 - 18*x + (-2 + 2 - x**3)*(2 + 4 - 4) + 15*x**3 + x**3 - 2*x**3.\nAnswer: 13*x**3 + x**2 - 18*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 396619 is divided by 56609?\nAnswer: 356","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 9423928 to the nearest integer?\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = 295*p - 12. Let k be u(-4). Let b = -592 - k. Suppose -52*m + 47*m = -b. List the prime factors of m.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from kkeetiikimxmiii. Give prob of sequence ti.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Does 145 divide 205900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*t - 6*t + 32. Let n(d) = -5*d - 3. Let q be n(8). Let j = 67 + q. Calculate the highest common divisor of t and j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = 39*r - 24. Let a(z) = 8*z - 5. Let h(f) = -24*a(f) + 5*t(f). Let u(b) = 9*b - 5*b - 3*b. Determine h(u(l)).\nAnswer: 3*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 2880 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 36345?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = 3*d, -7*d = 5*v - 2*d - 25. Let x be 2 + 7\/(v\/24). Let y = 9 + x. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -2496 at most as big as 1\/40?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 584 - 600 = 8*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of ((-123)\/4)\/(3*(-98 - 14)) and -113\/1568.\nAnswer: 3136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) -3  (b) -0.4  (c) 27  (d) 1.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = -204*f + 330. What is o(2)?\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 22 = -10*f + 62. Solve -f*y + 3*y = -5*w + 3, 3*y - 4*w - 2 = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:46 PM and 4:52 PM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 2103229 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = -84*j + 6. Let x(z) = 168*z - 14. What is 2*x(q) + 5*y(q)?\nAnswer: -84*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1512749305 to the nearest integer?\nAnswer: 1148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) be the first derivative of -z**2 - 7*z - 2731. Let n(y) = 20*y**2. Give n(x(f)).\nAnswer: 80*f**2 + 560*f + 980","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7*f - 60*f + 34*f.\nAnswer: -33*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 111101111110101011010100 + -110?\nAnswer: 111101111110101011001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = 0 - 1 + 2*d - 56*d**3 + 57*d**3. Let i be o(1). Suppose -2*q = i*q - 8. Solve 2*h + 4 = -2*t, 3*t - 5 = q*h - 1 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (4\/(-6))\/((-2)\/36*-4). Put 1, f, 4 in ascending order.\nAnswer: f, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**(-2)*k)\/k**(-1\/2)*(k**1\/k)**(-3\/29) assuming k is positive.\nAnswer: 1\/sqrt(k)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -26*a + 2 = -28*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 3*a**4 + 28584*a**3 - 383*a**2 + 57*a wrt a?\nAnswer: 72*a + 171504","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 times 46885?\nAnswer: -140655","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c + 4*a + 441 = 1133, 0 = 2*c - 2*a + 692. Let j = c - -317. Which is greater: -26 or j?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 4240570 and 222?\nAnswer: 12721710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 9338 + 14963*f**2 - 2333 - 2333 - 2336 - 2334 to u*f + a*f**2 + l and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1184 is divided by 63.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 a and 1 l when two letters picked without replacement from aalajee.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -167\/420 and -41\/859020.\nAnswer: 6013140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -83\/139876 and -23\/68?\nAnswer: 139876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find i such that -8\/5*i**2 - 4\/5*i**3 + 8\/5 + 4\/5*i = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1154780410 to the nearest integer?\nAnswer: 1049","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = -33*l - 26. List the prime factors of t(-11).\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -98.1 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*k**5 + 2*k**5 - 3*k**5 + (-3 + 4 + 0)*(2*k**5 + 0*k**5 - k**5) + 15*k**5 - 7*k**5 + 25*k**5 + 3*k**5 - 2*k**5 - 2*k**5.\nAnswer: 34*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -12 - -21. Suppose -4*d + 5*h + 71 = -d, 2*h - b = -d. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 5*(0 + 4\/10). Let q(t) = t**2 - t + 1. Let v be q(w). Suppose -3*i - y + 10 = 2, 5*y - 29 = -4*i. Solve -x = i - v for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -7*z**2 + 14*z**5 + 18*z**2 + 16*z - 2*z**6 - 6*z**2 - 2*z**2 + 2*z**2 wrt z?\nAnswer: -240*z**3 + 840*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = 4*h + 4. Let y be x(4). Suppose -5*p + p + 2*b = y, -5 = p - 5*b. Are -32\/7 and p equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 17 divide 112?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = 31*s - 505. Calculate p(12).\nAnswer: -133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 97102464?\nAnswer: 2, 3, 19, 13309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 820840?\nAnswer: 2, 5, 20521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5085\/(-30)*8\/(-3)?\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1097*i**2 + 4155*i**2 - 396*i**2 + 4316*i**2.\nAnswer: 6978*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p + 124 = 5*f - 0*p, 55 = 2*f - 5*p. Let x be (-2 + (1 - f))\/2. List the prime factors of 2 - (x + 3\/1).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o = 1820679 - 558569. Suppose -3*k + o = 2*k. Let h = -576211 + k. Round h to the nearest 100000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 185768?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((-20)\/15)\/(2\/3). Let o(d) = 3*d**2 + 11*d + 15. Let t(a) = 6*a**2 + 23*a + 31. Let w(s) = h*t(s) + 5*o(s). List the prime factors of w(-6).\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c = o + 7, -2*c + 3*o - 4 = 3. Let u be (c\/10)\/((-8)\/(-2160)). What is the highest common divisor of u and 120?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -264377*l**3*q + l**3 + 13854*l**2 + 3*l wrt q.\nAnswer: -264377*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 23\/1 - (-21 - -40). Solve -t*d = -326 + 314 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 53b32 (base 14) to base 2\nAnswer: 110001011100010000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 0 - -212b5?\nAnswer: 212b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -920 = -4*i + 3*s, -s = -i - 4*i + 1161. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -5?  (a) 5  (b) 55  (c) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-19)\/(-7) + (0 - 3). What is the fourth biggest value in 0.3, -3, -6, z?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 j and 1 l when two letters picked without replacement from {y: 4, b: 4, m: 1, p: 3, l: 2, j: 1}.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -7 (base 8) in base 6?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = 36*t - 353. Calculate u(8).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -29*i**5 - 2*i**3 - 19914*i**2 - 425*i + 7413 wrt i?\nAnswer: -580*i**3 - 12*i - 39828","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -13\/176 or 0?\nAnswer: -13\/176","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 43931 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = 107*d + 61. What is the tens digit of a(3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1789027 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = -39*t + 105. Let k = -129 + 126. What is the tens digit of r(k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p - 3*q = 76, 4*q - 176 = -p + 4*p. Let z = p + 86. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 34073 and 259479.\nAnswer: 3373227","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Product of 777 and -0.36.\nAnswer: -279.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:35 AM and 2:57 PM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 3\/7?  (a) -229  (b) 177  (c) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-1)\/2 - 1)*-2. Suppose 0 = -p*s - 8 + 23. Sort s, 4, 3 in descending order.\nAnswer: s, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 57 divide 8829?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*((6*sqrt(55)\/(4*sqrt(5)) + 2)**2 - ((sqrt(99) + sqrt(99) + 5*sqrt(99)*1 + sqrt(99))\/sqrt(324))**2).\nAnswer: 331\/36 + 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-328)\/410 + (20\/((-165200)\/(-72618)) - 8).\nAnswer: -1\/118","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Round 34280360 to the nearest 100000.\nAnswer: 34300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*a = q + 1, -2*a - 110*q = -113*q + 4 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-1)\/7)\/(1\/(-7))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:13 AM and 4:25 PM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3 + 0 + 2)*(12 - 12 + 2*j) + (j - 15*j + 10*j)*((-3 + 0 + 1)*(1 + 2 - 1) + 0 - 1 + 0) + 5*j - 4*j + 0*j to l + x*j and give x.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 1\/10 of a day?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 75027643241 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence mwmn when four letters picked without replacement from {w: 1, m: 5, a: 2, n: 1, l: 1}?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = 2*i**3 - 29*i**2 - 12*i - 42. Let s be o(15). Suppose -2*y - 2*p = -5*y + 3, -2*y + 2 = -2*p. Solve 5*f - s*f - x = -y, 3*x = f + 3 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2013?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 120 and 435.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m be -8 + (-13 - (-374)\/54*3). Which is the second smallest value?  (a) 5  (b) m  (c) -1.9  (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:48 AM and 2:51 PM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Factor p**2 - 3929082*p + 3859421340681.\nAnswer: (p - 1964541)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"}
{"text":"Question: Let l = 2741 - 27. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*y + 2, -3*f - f - 5*y = -15. Let j = 15 + -17. Let g = j + f. Calculate the greatest common factor of 33 and g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p + 25 = 20. Sort -3, -5, p, 2 in increasing order.\nAnswer: -5, -3, p, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -49801*u + u**2 + 13786*u + 1 - 3*u**2.\nAnswer: -2*u**2 - 36015*u + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/(((-6)\/40)\/(3\/12))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert -248777 (base 9) to base 7.\nAnswer: -1165453","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-3)\/2*(-1 + -1). Let n = y + 0. Suppose -12 = -n*c, -f = 2*c - 20 - 8. Calculate the remainder when 39 is divided by f.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 80*40\/(-140)*7\/(-8).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sum -7 and 159.9.\nAnswer: 152.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Put 68, -8, 3, -5, -0.2 in decreasing order.\nAnswer: 68, 3, -0.2, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -6700 - -11751.8. Round s to the nearest one thousand.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 372 minutes before 6:35 PM?\nAnswer: 12:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 219939066?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = 25*p**3 - 65*p**2 + 35*p + 65. Let h(m) = -m**3 + m**2 - m - 1. Let f(b) = -c(b) - 30*h(b). Let f(u) = 0. Calculate u.\nAnswer: -7, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1.9, 2\/7, -0.613, 153.\nAnswer: -0.613, 2\/7, 1.9, 153","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*r - 25*a + 21*a - 6 = 0, -3*a - 7 = -2*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or 15524389?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*n = -14 + 4. Let j(l) = -3*l**n + 5*l**2 - 4*l**2. Let v(s) be the third derivative of s**4\/8 + 9246*s**2. What is j(v(r))?\nAnswer: -18*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 25771223 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many weeks are there in 11958.83892ns?\nAnswer: 0.0000000000197732125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -3851, -7714, -11577, -15440, -19303, -23166?\nAnswer: -27029","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 60858 and 1106.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o - 20 = 5*o + 3*a, -3*o - 16 = a. Let u be o\/6 - 50\/(-48). Does u = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*((1 + sqrt(637) + sqrt(13) - sqrt(13)) + (sqrt(13) + sqrt(468)*1 - sqrt(13)))*1 - ((sqrt(156)*-3)\/sqrt(4))\/((sqrt(216)\/sqrt(6))\/sqrt(12)))**2.\nAnswer: 392*sqrt(13) + 31229","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k be -2556*(-5 - (-35)\/21). Suppose -21*l = -l - k. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1100011110110010101111 (base 2) in base 11?\nAnswer: -1935214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from wommwb?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or 339.19?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort 9, -1\/4, -2, -12.5, -0.5.\nAnswer: -12.5, -2, -0.5, -1\/4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 f and 1 d when four letters picked without replacement from faffffffafadaadffa.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = g**2 - 1. Let p = -5 - -2. Let n be 5\/(p*(-1)\/3). Suppose 3 = -n*f - 2. Determine j(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 15521 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*m = 7*m - 4. Let s be ((-6)\/(-5))\/(m\/(-6 + 11)). List the prime factors of 2\/(s\/909*-3).\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 1\/((-1)\/(-2) - 0). Suppose -f + 22 = f. Suppose 0 = 3*q + f + 1. Which is the closest to x?  (a) q  (b) -3  (c) -4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((d\/(d*d**(-11)))\/(d\/d**(-17)))**(5\/4))**(-4\/7) assuming d is positive.\nAnswer: d**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1359 is divided by 29?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 39110  (b) -4  (c) 4  (d) 1390  (e) -2\/11  (f) 1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = -b**2 - 5*b - 2. Let o be l(-3). Suppose 0 = -o*q - r + 48, -11 = -q - r + 4. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 18, -56, -130, -204, -278, -352?\nAnswer: -426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 531341636.\nAnswer: 2, 7, 18976487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = -2*d**2 - 47*d - 3. Determine a(-14).\nAnswer: 263","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = -2*f**3 + 14*f**2 + 42*f - 81. Determine m(10).\nAnswer: -261","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = -329*w - 192. What is the remainder when z(-5) is divided by 28?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -614*n**2 + 318*n**2 - 22 - 4 - 3 + 294*n**2.\nAnswer: -2*n**2 - 29","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 1.305 + -1.135. What is the closest to -2 in -2\/21, -0.5, c, -2\/17?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (240*(2 + -4))\/(-1). Suppose -1252 = 16*b - 3*b - 7505. Which is smaller: b or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) be the first derivative of 3*u**2\/2 - 97. Let q(k) be the first derivative of k**2\/2 + 1. Calculate m(q(j)).\nAnswer: 3*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 5250 a factor of 348187358?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -17 - -16. What are the prime factors of (31 - x)*(-3)\/(-4)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12 - 12 = 6*z - 2*r, -3*z - 7 - 11 = r for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -0.06, -5, -2, 5980?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w**5\/6 - 631*w**4\/6 + 36451*w**3\/6 - 224639*w**2\/2 + 615978*w - 829602 = 0. Calculate w.\nAnswer: 2, 6, 27, 569","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3*t**4 + t**4 + 14 - 21*t + 14*t to the form q*t**3 + a*t**2 + b*t**4 + w*t + u and give u.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14 = 3*m - 43. What is the greatest common divisor of 152 and m?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence go when two letters picked without replacement from {o: 10, c: 1, j: 7, g: 2}.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*c + 5*q = 6*q - 6*q, -1 = -4*c + 4*q - 1 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:06 AM and 12:49 PM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 224 a factor of 20052?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand -r**3 - 2*r + 2*r + (-4*r + r + r)*(2*r**2 - 6*r**2 + 3*r**2) + 3*r + 0*r**2 - r**2 - r + 2*r**3.\nAnswer: 3*r**3 - r**2 + 2*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*d + 7403 - 7619 = 0 for d.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 26993, 5, -2, 0, 4, -5 in decreasing order.\nAnswer: 26993, 5, 4, 0, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Add together 1263.8 and 15.8.\nAnswer: 1279.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = -5*y - 22. Let c be s(-4). Let v(t) = 5*t**2 + 5. Let i(x) = -3*x**2 - 2. Calculate c*v(l) - 5*i(l).\nAnswer: 5*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 7 + -5. Solve -3*i - v = -g*i, -i - 4*v = 3 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 73*g - 107*g - 136 = 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 155 and 105.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -1966, -382 in ascending order.\nAnswer: -1966, -382, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*r = 5*l - 11 - 23, -4*r + 7 = -l. Suppose l*q + 4*b - 13 = 2*b, -4*q = -4*b - 16. What is the remainder when 9 is divided by q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) be the first derivative of 9*u**2\/2 + 15*u - 4. Let r(p) = 4*p + 7. Suppose 5*s = -32 - 33. Give s*r(q) + 6*i(q).\nAnswer: 2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*y + 47 = -4*z, 9*y = 4*y - 35 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = u**2 + 4*u - 4. Suppose 43*r + 45 = -127. Let n(p) = -p**2 - 3*p + 5. Give r*n(k) - 5*d(k).\nAnswer: -k**2 - 8*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 0 + 6. Sort 0.2, 2, b in decreasing order.\nAnswer: b, 2, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.1252373 millilitres to litres.\nAnswer: 0.0001252373","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = 6*b**2 - 6*b + 6. Let c(f) = f**2 + 1. Let j(v) = 5*c(v) - g(v). Give j(7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -43 + 42. Let m = 84.97 - 85. What is the fourth smallest value in a, -0.5, 0.5, m?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 187371?\nAnswer: 3, 109, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 195024 and 6516?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13 = -4*k + 3, -4*k - 74 = -5*h. List the prime factors of h.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -7.99 - -7.99. Sort 2\/17, 2\/9, 1\/4, a in descending order.\nAnswer: 1\/4, 2\/9, 2\/17, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p + 4*i - 161 + 33 = 0, -p - 2*i + 40 = 0. Let y = -45 + p. Suppose -y*n + 14 = m + m, 6 = 3*n. Solve -2*z + m = -0*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 10419 to the power of 1\/2, to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -69332 + 12667 = -2182*f + 30615 for f.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 6227?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 36  (b) 15  (c) 2233\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"}
{"text":"Question: Is 19 a factor of -2 + (23 - 2\/1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 24160*r - 15*r**2 - 306*r + 9912*r - 17.\nAnswer: -15*r**2 + 33766*r - 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -13 + (0 + (10 - 2) - 5).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*h + 0*h - 2*z = 39, 3*h + 3*z - 15 = 0. Let u(x) = 3*x + 1 - 6 + 2. Let w(j) = -5*j + 5. Determine h*u(r) + 4*w(r).\nAnswer: r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 157*k**6 + 11*k**3 - 463*k**2?\nAnswer: 18840*k**3 + 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4*s**3 - 5*s**3 + 12*s**3 + (510*s - 277*s - 395*s)*(s - s**2 + 3*s - s**2 + 2).\nAnswer: 335*s**3 - 648*s**2 - 324*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*b - 163391 = -924*b - 577*b for b.\nAnswer: 109","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -8 times -2648874?\nAnswer: 21190992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-c**2 + 14*c - 14*c)*(-2 + 3 - 3) + 7*c**2 - 4 + 0*c**2 - 4*c**2 to f*c + k + h*c**2 and give h.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 22619 is divided by 58?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {r: 2, o: 4, h: 5}. Give prob of sequence hor.\nAnswer: 4\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -144 - -276. What is the first derivative of -27 + 28 + 79*l**2 + 37 + y*l**2 wrt l?\nAnswer: 422*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is z in 10*z**3\/11 + 336*z**2\/11 - 136*z\/11 = 0?\nAnswer: -34, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) be the first derivative of m**6\/39 + 62*m**5\/65 + 76*m**4\/13 - 2672*m**3\/39 + 2448*m**2\/13 - 2592*m\/13 - 344. Let g(c) = 0. What is c?\nAnswer: -18, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h + 58 = -3*c - 125, -4*h - 2*c = 242. Let r be (6\/((-60)\/(-35)) + -3)*-52. Let t = r - h. What are the prime factors of t?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -21112211002 (base 3) to base 5.\nAnswer: -14223313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = -k**3 - 97*k**2 - 128*k - 1266. Is 10 a factor of z(-97)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t + 2*l - 13889 = 0, -9*t + 3*t - 83232 = 5*l. Which is smaller: -13875 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 22725 and 2385?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2325.\nAnswer: 3, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 123283 divided by -44\nAnswer: -123283\/44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = 4*d + 50. Give m(-12).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) be the second derivative of -z**4\/6 - 109*z. Let h(p) = -705*p**2. What is i(h(g))?\nAnswer: -994050*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 668a - 5?\nAnswer: 6685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Express (-8*l + 5*l - l - 1)*(2*l + 8*l - 2*l) as t*l**2 + q + r*l and give r.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*h - 5*i + 5795 = -4*h, 5*h = 3*i - 7247. What is h rounded to the nearest 100?\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-2)\/6 + 49\/210)*(-195)\/(-6).\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 108, -3, 38, 0, -5.\nAnswer: -5, -3, 0, 38, 108","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -21230621 (base 7) in base 13?\nAnswer: -4b2c75","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*c - 591 = -231. Calculate the lowest common multiple of c and 56.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = -7*y**3 + 1027*y**2 + 345*y - 7484. What is m(147)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = -3*x**2 + 4. Let b be n(-6). Let s = -60 - b. Let f(m) = m**3 + 18*m**2 - 10*m + 182. Let o be f(-19). What is the highest common divisor of o and s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3431000 rounded to the nearest one million?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -35, -41, 3, 97, 241, 435?\n\"Answer: 25*d**2 - 81*d + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -47 - -3319?\nAnswer: 3282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 158967.\nAnswer: 3, 17, 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from qeiqq. What is prob of picking 1 i and 2 q?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 53752054 is divided by 39.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*i = 14 + 6. Let u be 14*(i + (-27)\/(-6)). Solve -3*v + u = -8 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 12400 and 17800?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of u**2*y**2 + 26*u**2*y - 38*u**2 - 1893*u*y**2 + 2*u*y + 763*y**2 - 12*y + 14 wrt y.\nAnswer: 2*u**2 - 3786*u + 1526","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 19988 + -19985. What is the third biggest value in 5, -697\/9, j?\nAnswer: -697\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 1 - -5. Let g(x) = x - 6. Let c be g(b). Which is smaller: c or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 304247227 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 15877 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 139241 is divided by 255.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 31751 to the nearest integer?\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 24 + 66 = 15*u for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-4)\/(-9) - (105\/162)\/(170\/136)?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -10.784213 + 4.784171. Let h = 1.6 + -7.6. Let m = d - h. What is m rounded to 5 dps?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -57544496 divided by 4?\nAnswer: -14386124","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00002880183 rounded to 5 dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.14 - -0.14. Is 0 less than or equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -2.9 and -0.3.\nAnswer: 0.87","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 40 - ((-24 - -7) + 59)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, 5, 5034579 in decreasing order.\nAnswer: 5034579, 5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 0, -33, -90, -183, -324, -525, -798, -1155?\n\"Answer: -2*y**3 - 19*y + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6854 is divided by 1142.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is five eighths of a second in milliseconds?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 25747 and 185.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 27273 is divided by 13612?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4969 + 2825 = 3*k. Let g = 4463 - k. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-1*10\/8)\/(108\/(-432))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 6 and 97342.\nAnswer: 292026","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 30261*c**4 - 7337*c**3*q**3 - 203*q**3 + 15636*q**2 - q wrt c?\nAnswer: 121044*c**3 - 22011*c**2*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from {f: 7, i: 3}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 3247582 and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 k when four letters picked without replacement from kkkknnkn?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 182 is divided by 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:21 AM and 1:41 AM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = -20*k. Let x(r) = -5*r - 36. Let t be x(-7). Give s(t).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -8*a + 13 + 3. Suppose 4*i + 16 = 0, a*l + 4*i = 2*i - 1264. What is the tens digit of 6\/(l\/(-124) - 5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (4 + (37\/(-5) - -3))*-10. Suppose -8174 = -d*t - 3*n, -2*t + 2*n + 4092 = n. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -36, 3, -1\/8, -0.3, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 36 - -1. Let a = m - 35. Which is smaller: -8 or a?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -159794, -319589, -479384, -639179, -798974, -958769?\nAnswer: -1118564","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 s and 1 e when three letters picked without replacement from {x: 3, e: 7, b: 2, p: 2, o: 3, s: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -1589252 divided by 4?\nAnswer: -397313","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 3.47 + 161.53. Let v = 170.05 - y. Let t = v - 0.05. What is the closest to -1 in -0.1, t, -8?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -138 or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 149302, 149303, 149304?\nAnswer: 149305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 123\/189 - (-57)\/(-133). Which is smaller: -97 or w?\nAnswer: -97","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*d**5 + 0*d**5 - 2*d**5 + (5*d**3 + 2*d**3 - 6*d**3)*(-3*d**2 + 4*d**2 + 0*d**2).\nAnswer: -4*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -0.2, 3\/2, -0.09, -3, -0.1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -6356*a**5 + 27*a**4*x - 4318*a**2 - 2041*x wrt a.\nAnswer: -381360*a**2 + 648*a*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21 = -3*v + 5*l, 3*v + l = -0*l - 21. Let r(c) be the second derivative of -c**3\/2 + c**2 + 36*c. Is r(v) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 4 - 1. Let m(l) = -8*l + 2. Let a be m(n). Let y be (-3)\/6 - a\/4. Solve y*i + q - 2*q - 9 = 0, -4*i + 5 = -3*q for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/5 of a decade in years?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -15*f - 9*f**2 - 11*f - 602 + 26*f.\nAnswer: -9*f**2 - 602","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -11 - -15. Suppose 4*n + q - 42 = 6*q, d*q - 21 = -n. Let g = 3 + n. Is 12 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-936)\/351*30*(-19)\/19?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 - 4*t + 2 - 4)*(-46*t**3 - 22*t**3 + 16*t**3).\nAnswer: 208*t**4 - 104*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 200261490 and 14?\nAnswer: 1401830430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000018536670763 rounded to 7 decimal places?\nAnswer: 0.0000185","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.3*-87.\nAnswer: 26.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = -t**2 - 9*t - 9. Let l be y(-7). Suppose 0*g - 3*g = l*k - 7, g = -4*k + 7. Suppose -18 = -k*d + 2. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 3 - 4 - (-1 + 4). Sort 2, m, 0 in decreasing order.\nAnswer: 2, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 10145 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) be the first derivative of 28*i**3\/3 - i**2\/2 - 19*i + 57. Find the second derivative of u(j) wrt j.\nAnswer: 56","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -1 and 1.88?\nAnswer: -1.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 5 + -9c3287?\nAnswer: -9c3282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0.0418 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 7 - 4. Solve n + 4 = 3*r, -a*r = 8*n - 3*n - 16 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 44\/477 and -29\/5872419.\nAnswer: 311238207","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (18 - (0 + -2))*(-1085)\/(-28).\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = 19*l**5 + 6*l**4 - 30*l**2 - 6. Let p(q) = -20*q**5 - 5*q**4 + 29*q**2 + 5. Let w(a) = -6*p(a) - 5*u(a). What is the third derivative of w(d) wrt d?\nAnswer: 1500*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = 3*x**5 - 10*x**4 - 2*x**3 + 10*x**2 - x. Let c(a) = a**5 + a**4 - a**3 - 1. Let s(k) = 6*c(k) + 3*u(k). Find h such that s(h) = 0.\nAnswer: -1, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 0 - 203?\nAnswer: -203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 64672512.\nAnswer: 2, 3, 107, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 459 minutes after 1:31 PM?\nAnswer: 9:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -22 - -24. Solve w + 4*a + 22 = 7, 0 = 2*w - x*a for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -304968, -305463, -306286, -307437, -308916, -310723?\nAnswer: -312858","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Work out 7 + -45972111.\nAnswer: -45972104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -47, -114, -247, -458, -759, -1162, -1679?\nAnswer: -2322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -43*m = -214 - 1 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k be -2 + ((-3)\/(-3) - -1). Suppose m - 1046 - 536 = k. Suppose -5*u + 179 = -3*w - 1797, 4*u = 2*w + m. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 4 + -2. Let q be 1\/3*2*3. What is the lowest common multiple of q\/10 - 42\/(-15) and x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = -7*l**2 + 26*l - 27. Let w be i(19). Let q = w + 3063. Suppose -229 = 6*h - q. What is the hundreds digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = k**3 - 10*k**2 + 8*k + 12. Suppose 0 = -p + 5*p - 4*v - 56, -3 = -2*p - 3*v. What is the units digit of d(p)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (130\/(-12) - -8)\/(13\/((-351)\/(-18)))?\nAnswer: -17\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*(-3*(sqrt(2) - 2*(1 + sqrt(2))) - (2 + (sqrt(40)\/sqrt(4))\/sqrt(5))).\nAnswer: -8 - 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 3 + 10b18?\nAnswer: 10b1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = -38*x**2 - 2*x + 22676. What are the prime factors of v(0)?\nAnswer: 2, 5669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -10*t**2 - 116*t + 48.\nAnswer: -2*(t + 12)*(5*t - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {k: 2, u: 1, h: 1, s: 2, v: 1}. What is prob of sequence skh?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 359937\/20 - 18002. Calculate the common denominator of g and (-4 + 1526\/21)*15\/100.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = 31*s**2 + 26*s + 228. What is the units digit of g(-13)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00055816 rounded to 5 decimal places?\nAnswer: -0.00056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = -4*o + 8. Let y be q(2). Let n(h) be the first derivative of 0*h**2 + 1 + 0*h**4 + 3\/5*h**5 + h**3 + y*h. Find the third derivative of n(z) wrt z.\nAnswer: 72*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -647*g + 340*g. Let b = 20 + -99\/5. Solve b*r**4 + g + 1\/5*r**3 + 0*r**2 + 0*r = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 84701?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify m**3*m*m**(1\/4)*m*m**(-2\/9)\/(m*m**(-2)) assuming m is positive.\nAnswer: m**(217\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = -277*p**3 - 14*p**2 - 77*p. Let z(f) = 185*f**3 + 9*f**2 + 55*f. What is 5*h(t) + 7*z(t)?\nAnswer: -90*t**3 - 7*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Factor v**3\/5 + 92962*v**2\/5 + 185909*v + 464760.\nAnswer: (v + 5)**2*(v + 92952)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = -p - 1. Let y(z) = z + 19. Let n(h) = 2*s(h) + y(h). Let r be n(8). Calculate the highest common divisor of r and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 755951.\nAnswer: 7, 79, 1367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -3060 - -3063. Which is the fourth biggest value?  (a) o  (b) -1  (c) -4  (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand a**4 - 2*a**4 - 2*a**4 + (3 - 2 + 0)*(a**4 + 0*a**4 + 0*a**4).\nAnswer: -2*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -112131 (base 5) in base 10?\nAnswer: -4041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f = -4*f + 9. Let j(s) = 26 - 7*s**f + 17 - 39 + 5*s**2 + 5*s. Is j(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3 + (20 - (-11 + 21)) + -3\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = 0 + 1 - 19*h - 4 + 13*h. Let t(r) = -11*r - 5. Let c(y) = -2*y**2 - y. Let k be c(1). Let x(p) = -p - 1. Let g be x(-6). Calculate g*o(b) + k*t(b).\nAnswer: 3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Express (-1 - 4 - 14)*(-47252*r - 444*r**2 + 47252*r) as k*r**2 + t + y*r and give k.\nAnswer: 8436","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 q when four letters picked without replacement from {g: 2, a: 2, q: 4}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) be the third derivative of -4*i**2 - 1\/336*i**8 - 1\/6*i**4 + 1\/105*i**7 - 1\/15*i**5 + 5 + 0*i**3 + 1\/40*i**6 + 0*i. Factor o(n).\nAnswer: -n*(n - 2)**2*(n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 76, 47, -12, -113, -268, -489, -788, -1177?\n\"Answer: -2*r**3 - 3*r**2 - 6*r + 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -7a69 - -7?\nAnswer: -7a62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 4*(5 + -3 - 3). Let p = r + -1. What is the units digit of 2 + (-2 - 0 - p)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 (base 5) in base 8?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 2219462888?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 239*u**3 + 42*u**3 - 769 - 19*u**3 + 769.\nAnswer: 262*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*a + 6 - 18. Let d(g) = g**2 - a*g**2 + 2*g**2 + 2*g**2. Let s(t) = 2*t**2. What is d(s(j))?\nAnswer: -4*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 27 divided by -36\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 99.99999249 + -100. Round d to six dps.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1133 + 1138 - 2271 + 5*s - 21*s.\nAnswer: -16*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 394715141 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (20\/(-25))\/(21*5\/(1050\/(-28))).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 10*b**3 + 7*b**3 + 2*b**3 - 4*b**3.\nAnswer: 15*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 5 from -2189259.78.\nAnswer: -2189264.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence iqi when three letters picked without replacement from {i: 2, q: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1)\/6 + (-205)\/(-246)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -3\/4  (b) 1057  (c) 0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -1b21 - 3c2?\nAnswer: -1ee3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Determine c so that -4*c**2\/7 - 644452*c\/7 + 1841520 = 0.\nAnswer: -161133, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = w**3 - w + 8*w**2 + 0*w - 2*w - 12. Is 12 a factor of f(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v**3 - 188*v**2 + 3773*v - 20086 = 0. What is v?\nAnswer: 11, 166","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 44 a factor of 23351?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -44504391, -44504396, -44504389, -44504364, -44504315?\n\"Answer: u**3 - 12*u - 44504380","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 151, -4, -1, -3 in descending order.\nAnswer: 151, 1, -1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**(4\/7)*h)\/h**(-3) assuming h is positive.\nAnswer: h**(32\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -3582444 divided by -1194148\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*a - 130 = 353. Suppose -5*v = 2*c - a, 3*v + 3*c = 6*c + 54. Suppose 3*b + 4*s = v, 0 = -5*b + 4*s - 3*s + 25. Solve 4*u = 0, 5*m = -u - b - 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*c**2 + 23409*c - 2131110.\nAnswer: 3*(c - 90)*(c + 7893)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is (20 - -14) + -32 - 19?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*(-2 + sqrt(50)).\nAnswer: -6 + 15*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1001 and 231?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -1\/44, 2\/11, -2?\nAnswer: -1\/44","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 2  (b) 11  (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 35354 and 198?\nAnswer: 318186","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 4376 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -2 + -1 + (7 - 3). Let m be w*-4*(-2)\/(-2). Is ((-6)\/(-9))\/(m\/(-282)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -3*(-12)\/(-90) - (-64)\/10. Suppose -13 = z*x + 77. List the prime factors of (5 - -85)*(x\/(-9) + -1).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 897 and 44935422?\nAnswer: 584160486","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 56*v - 10164146 + 10164146.\nAnswer: 56*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -491*u - 475*u - 9706*u + 11324 + 358*u wrt u.\nAnswer: -10314","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 174029329 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-768)\/(-40) - (-2)\/(-10). Let l(r) = 39*r - 18*r - f*r. Let q(b) = 19*b. Determine l(q(n)).\nAnswer: 38*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 429*q = -240*q - 3345 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -3 - 372\/(-76) - 2?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*l + 48 = 2*l. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.07 - -47073114727.12.\nAnswer: 47073114727.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) be the second derivative of -7*q**3\/2 - 9*q**2\/2 + 39*q - 1. Let i(a) = 52*a + 22. Calculate -5*i(o) - 12*x(o).\nAnswer: -8*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Put together 761498 and 0.3.\nAnswer: 761498.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -193*l**2 + 1 - 747*l**4 + 713*l**4 - 2*l - 2*l**3 + 192*l**2 to the form h*l**4 + x*l**3 + t*l + q + g*l**2 and give h.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(3) + 2*sqrt(300) + sqrt(3) - (sqrt(108) + 0))**2.\nAnswer: 768","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4\/((-2)\/2) + (-93)\/93.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3292 is divided by 32?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -1934540 divided by -4910?\nAnswer: 394","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -97*b**3 - 142*b**3 + 293*b**3.\nAnswer: 54*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -21\/5 + 137\/35. What is the closest to o in -5\/2, 2\/13, -5?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:14 AM and 4:13 PM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2286223280 to the nearest integer?\nAnswer: 47814","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - 6 - 2*m + 5)*(-277 + 277 + 19*m).\nAnswer: -38*m**2 - 38*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 3 + 1)*(0 + 0 - 2*a**2) + (a**2 + 3*a**2 - 2*a**2)*(-4 + 3 - 1) + (3*a + a - 2*a)*(-3*a - 3*a + 5*a).\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-6)\/10)\/((-2)\/10). Let n(f) = f**2 + 3*f - 2. Let c be n(-4). Factor -1 - t + 2*t**s - c*t**2 + 2*t**5 + t**4 - 3*t**5 + 2.\nAnswer: -(t - 1)**3*(t + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 7 and 5068?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t**2 - 16024*t + 16028 = 0. What is t?\nAnswer: -4007, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7395411?\nAnswer: 3, 73, 33769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -101 - -110010010001000?\nAnswer: 110010010000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = -3*t + 44. Suppose 0 = -5*n - 5, -5*f + 3*n = -t. Let a = f - -12. What are the prime factors of a?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 459 minutes after 7:02 PM?\nAnswer: 2:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = k**3 + 4*k**2 - 8*k - 4. Let r be o(-5). Let i = r - 8. Find the first derivative of 0 + 2*c**4 + 2*c**4 - i - 1 wrt c.\nAnswer: 16*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 89\/2 and 0 - 152\/(-12)*-1.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is w in 0*w - 2\/5*w**5 + 0*w**3 + 8\/5*w**2 - 6\/5*w**4 + 0 = 0?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*r = 5*r + 5. Let q be 12 - (2 + -3 - r). Solve 3 + q = -3*p, -p = -5*c + 10 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 573 minutes before 3:01 PM?\nAnswer: 5:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w**4\/8 + 9*w**3\/8 - 185*w**2\/8 + 675*w\/8 - 125\/2 = 0. What is w?\nAnswer: -20, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z + 39 = z. Let p be (-24)\/(-16)*(-32)\/(-22) + 6\/(-33). Let u be (-282)\/(-26) + p\/z. Which is smaller: 9 or u?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) -2  (b) -3\/4  (c) -176  (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = -14*i**2 + 2176*i + 15931. Give s(-7).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = g**2 + 26*g - 4. Let t(z) = -z**2 - 7*z + 17. Let k be t(-11). Calculate the remainder when 103 is divided by v(k).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -7.1 + 10. Let l = y - 64.9. Let p = -61 - l. Which is the closest to 1?  (a) -2\/7  (b) p  (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: (4\/48*4)\/((-2)\/(-24))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 21 - 26. Which is the nearest to 1\/3?  (a) -4  (b) -3  (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*a + 3*a = 15. Suppose -a = 3*z + 2*z - r, -r + 5 = 3*z. Suppose 4*n + z - 4 = 0. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) be the first derivative of 17*r**4\/4 - 9*r**3 - 691*r**2\/2 - 237. What is the second derivative of j(k) wrt k?\nAnswer: 102*k - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 99551 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -0.2  (b) 183  (c) -2.9  (d) 4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is (-9)\/(-21) - 5240\/(-56) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2\/63 of a week in minutes?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 6 - 3. Solve -1 = -2*h + a for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6 a factor of 710?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from {b: 2, p: 5, w: 5, e: 7}.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = 2*m**2 - 2*m**2 + m**2. Let p(b) = -b. Give q(p(w)).\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 916 + -2140. Suppose 0 = 5*x + 177 + 368. Let v = x - o. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = -11*b - 1. Let k(i) = -5*i. What is -9*k(j) + 4*q(j)?\nAnswer: j - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 11*h*r**4 + 7*h*r**2 + 2*h*r - 3*r**5 - r**3 - r**2 wrt r?\nAnswer: 264*h*r - 180*r**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = 3*k - 23. Let o be (-3 - -2)*(-3)\/6*6. Suppose -c - o = -20. Let g be p(c). Calculate the greatest common divisor of g and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -509.7 - -7.2\nAnswer: -502.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 47 is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 66*l = 62*l + 2*x + 312, -2*x + 78 = l. Let r(c) = 164*c. Let q be r(1). Let v = q - l. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 99\/66*((-16)\/17)\/8\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express -4*m + 4*m + 24*m**2 + (-m + 0*m - 2*m)*(-26*m + 55 - 55) in the form v + h*m**2 + q*m and give h.\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand -14*z**5 - 56*z**5 - 27*z**5 + 0*z**5 - z**5 + 0*z**5 + z**4 - z**5 - z**4 + (-z - 3*z + 6*z)*(-5*z**4 + 2*z**4 + 2*z**4).\nAnswer: -101*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -24370 = -2*h + 4*d, -5*h - 8*d = -13*d - 60910. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 3\/84913, 2, 0.2, -4.2, -5 in decreasing order.\nAnswer: 2, 0.2, 3\/84913, -4.2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.1578*-128871.\nAnswer: -20335.8438","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.04 + 0.9824. Let v = n - 0.0224. Which is the nearest to -0.02?  (a) -9  (b) -5  (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -1726 - -1736. Suppose -3*y = 2*y - 10. Suppose 2*c - 4*c - y = 0, 2*c = 4*h - 22. What is the smallest common multiple of h and z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 7944, 7926, 7908, 7890?\n\"Answer: -18*z + 7962","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((m*(m**8*m)\/m)\/m*m*m*m**(-6))\/(m**(3\/4)*m\/(m*(m**(1\/4)*m)\/m)))**(-29) assuming m is positive.\nAnswer: m**(-203\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:46 AM and 4:39 AM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find n, given that 2\/3*n**2 + 0 - n**3 + 0*n = 0.\nAnswer: 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -18 at most 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -578 or -576?\nAnswer: -576","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3358 is divided by 1115?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = p**2 + 9*p + 20. Calculate x(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-8)\/(-2) - 4\/(-2). Let d(n) = n**2 + 2*n - 1. Suppose -3*j + 2*o = -2 + 6, -5 = 5*o. Let x be d(j). Which is smaller: x or m?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -1 - -2.4. Let f = -0.4 + u. Let i = f + -1.2. Which is smaller: 2 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*s = 3*j + 12, -1402*s + 21 = -3*j - 1407*s for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (((-3)\/(-9))\/1)\/((-3)\/(-522)). Let a = g + 25. List the prime factors of a.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 34 + -13.7874.\nAnswer: 20.2126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 38639.\nAnswer: 38639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from iivivivkiqkkkki. What is prob of sequence iv?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 s and 1 b when three letters picked without replacement from uuuuuutubbuuasausbuu.\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 + 3 + -3 + 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -152 + 148. What is the nearest to 0 in p, -0.76, -1?\nAnswer: -0.76","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1926 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1\/23 + -76\/161. Let w = 0.1 - 0. What is the third biggest value in j, 4, w?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -62 + 40. Let a = l - -70\/3. Let b be -1*(-2)\/(-4)*0. Are a and b unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1598\/75 or 22?\nAnswer: 1598\/75","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = -c. Let k be o(5). Let d = -3 - k. Suppose -d*r = -2*v + 300, 5*v + 817 = -5*r + 67. Round r to the nearest one hundred.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 212\/3 + -69. What is the nearest to 0.2 in d, -1, 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = 8*s - 95. Calculate r(35).\nAnswer: 185","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = -x + 18. Suppose -t = t. Let m be n(t). What is the greatest common factor of m and 126?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 857*(4\/(-18))\/(-2). Let f = h - 95. Factor -2\/9*x**3 + 2\/9*x + 2\/9*x**2 - f.\nAnswer: -2*(x - 1)**2*(x + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 greater than -38127\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j be -2*((-5)\/(-2) - 0). Suppose -q + 3*a - a = -8, 2*q - 10 = 2*a. Let o(f) = f**3 + 6*f**2 + 7*f + 7. Let k be o(-5). Sort k, j, q in ascending order.\nAnswer: j, k, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 4261 and 0.0304?\nAnswer: 4260.9696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*v - 0 - 27. Is (530\/(-15))\/((-6)\/v) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q**4\/8 + 5449*q**3\/8 + 27131*q**2\/4 - 86988*q + 195804 = 0. What is q?\nAnswer: -5439, -18, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express (-16*t + 38*t - 1 + 31*t)*(-4 - 1 + 3) as n*t + r and give n.\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 1381320169 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 94*z + 9190 - 6276 for z.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -9.681886 - -0.4?\nAnswer: -9.281886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 317 + 34. Suppose -n = n + 3*b - a, 2*n = -b + 353. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) be the second derivative of 41*j**4\/12 - j**3\/6 - j**2 + 23*j. Is 47 a factor of b(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = -294*o - 68. What is the remainder when k(-2) is divided by 87?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) be the second derivative of -v**5\/10 - v**4\/6 + v**3\/6 - v**2 + v. Let m be d(-2). Put -5, m, 2 in increasing order.\nAnswer: -5, 2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 1, -50711, 5 in descending order.\nAnswer: 5, 1, -3, -50711","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 37187*s**2 - 75952.\nAnswer: 74374*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence lmmq when four letters picked without replacement from {w: 1, m: 2, z: 4, y: 2, l: 4, q: 7}.\nAnswer: 7\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -56 = -97*l + 93*l. Suppose l*b - 15*b = -6. Let f = 124 - 112. What is the lowest common multiple of b and f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*s**5 - s + s + 0*s**5 - s**5 + 0*s**5 + (0*s**4 + 2*s**4 + 6*s**4)*(s - 3*s + s) + 3*s**4 - 3*s**4 + s**5.\nAnswer: -11*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*g = -7730 + 6755. Let o be 0 - (788\/(-3))\/(-4). Is g greater than or equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*u**2 + 3 - 1 - 4 - 8.\nAnswer: -2*u**2 - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*q = -5*z - 8*q + 29, 5*z - q + 1072 = 1053 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -2 + 22510?\nAnswer: 22505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = -5*q - 4 + 4*q**3 + 2*q**3 + 3*q**2 - 5*q**3. Let g be z(-3). Suppose -3*y + 1 = -g. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify y**(2\/33)*y*y*y*y**(-1\/11)*y*y assuming y is positive.\nAnswer: y**(164\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -1 + -1 + (-7 + 17 + -4 - 1)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = p**2 - 8063*p - 56497. Give r(-7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000000231 rounded to six dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Factor 98*z - 4*z**3 - 1715\/4 + 1\/4*z**4 + 21\/2*z**2.\nAnswer: (z - 7)**3*(z + 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 44873167057 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -7302, -7279, -7258, -7239, -7222, -7207?\n\"Answer: -z**2 + 26*z - 7327","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 61 - 38. Let p be 1*(-2 + 8)\/(-6). Let i be 4 + -3 + p + d. Calculate the highest common factor of 253 and i.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {a: 5, v: 1, h: 2, y: 1, r: 1}. Give prob of picking 2 h.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*5*sqrt(190)*-1*5)\/(1*(-2*(sqrt(90) - sqrt(90)*1) - sqrt(90))).\nAnswer: -100*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 9 - 3 - 1996*a - 1446*a - 6 to the form s*a + p and give s.\nAnswer: -3442","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-1426)\/(-217) - 4\/7. Solve -2*t - 4 = -s*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -31337 - -31337. Solve s = 66*i - 228 - 300 for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1108556 is divided by 764.\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"}
{"text":"Question: Let w = -32898\/5 - -6580. Which is the closest to -20?  (a) 0  (b) w  (c) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o\/(o*o*o*o\/(o\/((o\/o**(-18\/5))\/o)*o)*o*o))\/o**(-14) assuming o is positive.\nAnswer: o**(37\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 7.8?  (a) -8\/9  (b) -3  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express 4257 - 2091 - 2092 - 12*j as q + p*j and give q.\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 4*t + 2 - 13 + 8 - 17 + 54 to i + o*t and give i.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 14113 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*t - 3*t - t)*(-2 + 2 + 2*t) - 2*t**2 - 2*t**2 + 2*t**2.\nAnswer: -4*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = 4*w**2 - w. Let j be y(1). Suppose -j*x = -s - 16, s = -3*x - x + 26. Suppose -2*f = -8*i + x*i + 270, 5*i = 3*f + 679. Round i to the nearest 10.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 3*m**4 - 29037*m**3 + 434832*m**2 + 463872*m = 0. Calculate m.\nAnswer: -1, 0, 16, 9664","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -68723*r**3 - 315428*r.\nAnswer: -412338*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1 and 1093?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1 + -1. Let h be 4\/12*3 - -11. Let y = h - j. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 + (5 - (2 - 3)) + -4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1)\/(-2)*(3\/156*16)\/1?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 248655498 and 7476?\nAnswer: 3738","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -536769 + 6978001\/13. Determine c, given that -2\/13*c**3 + 10\/13*c**2 + k*c - 48\/13 = 0.\nAnswer: -2, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2521 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = -j. Let c(a) = -60*a**2. Calculate c(d(h)).\nAnswer: -60*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -30*w + 1393 = -1307. Find the third derivative of 87*f**4 + 293*f**2 - 95*f**2 - w*f**2 wrt f.\nAnswer: 2088*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 627 and 186669984.\nAnswer: 2053369824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*m - 8*m = -5*m. Suppose -c - 2*c - 4*c = m. Solve c = -3*t + t + 2, 12 = -5*n - 3*t for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (n + n**2 + 5*n - 4*n)*(-462 + 74 + 1162)*(0*n**3 + n**3 + 0*n**3).\nAnswer: 774*n**5 + 1548*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -4 - -29. Let z be ((8 - 4)\/(40\/(-100)))\/((-4)\/6). Calculate the highest common divisor of q and z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = u**3 - 5*u**2 + 4*u - 3. Let f be l(3). Let p be f\/12 - (-1)\/1. Is -1 < p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 30 - (-129 - -108 - -114)?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = -x**3 + x + 10. Suppose -8 = 3*t + 31. Let i(a) = -a**2 - 16*a - 39. Let z be i(t). What is the remainder when q(z) is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14*c + 9*c = -2*c - 7*n - 37, 2*n = 5*c - 52 for c.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: (-6)\/(-1)*17\/((-255)\/20)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -4\/7, 13\/2, -0.2, -2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*q + c - 18465815, -22*c - 18465815 = -5*q - 24*c. Let g = q + -1315163. What is g rounded to the nearest one hundred thousand?\nAnswer: 2400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 63 - 34. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = -s**3 - 10*s + 3 - 10*s**2 - 5 + 10. Suppose 2*q + 5 = 2*l - 3, 2*q + 33 = -3*l. What is the tens digit of m(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 52956 - 106600426\/2013. Let n = k - 7189\/1157475. Let f = 2182\/575 - n. Find the common denominator of f and 32\/5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 19*16\nAnswer: 304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = y**3 + 4*y**2 + y - 6. Let r(k) = -2*k**3 - k**2 - k + 1. Calculate 2*r(w) + t(w).\nAnswer: -3*w**3 + 2*w**2 - w - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 3612 divided by 25?\nAnswer: 3612\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = 21*g + 108. Let b(v) = -3*v - 16. Let m(h) = 27*b(h) + 4*y(h). Let f(o) be the third derivative of -o**4\/4 + 5*o**3\/6 - 8*o**2 + 40*o. Give m(f(w)).\nAnswer: -18*w + 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = -42*w + 17. Is f(-6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 115489402 to the nearest integer?\nAnswer: 487","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 6 - (0 + 2\/(-1)). Solve 2*r = -3*w - 5, -4*w - y = 3*r - 0*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1597?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -375621127, -4 in descending order.\nAnswer: 5, -4, -375621127","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.58?  (a) 0.045  (b) 0.4  (c) 5  (d) 12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 9301 and 8591?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (96\/(-112))\/((-2)\/7). Let c = 67 - 67. Suppose c = -17*p + 18*p. Solve 4 = v - j, -s*v + 13 = -p*j - 2*j for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 29, 51, 55, 35, -15, -101, -229?\n\"Answer: -n**3 - 3*n**2 + 38*n - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-4)\/(-16) + (-288)\/128 + 10 + (-660)\/82.\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 120258 and 10694700.\nAnswer: 918","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = -168*y**3 - 8015*y**2 + 49. Let o(k) = 7*k**3 + 334*k**2 - 2. Calculate -2*c(r) - 49*o(r).\nAnswer: -7*r**3 - 336*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 3450 or 3449?\nAnswer: 3449","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = -i**3 - 16*i**2 + i + 19. Let j be k(-16). Suppose 1 = -h + j*g + 4, 2*h - 3*g = 3. Let z = -9 + 10. What is the closest to h in 0, z, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 91274.0000091142 - 91274. Round l to six decimal places.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = 4*t. Let r(g) be the third derivative of 59*g**5\/20 - 400*g**2. Calculate r(h(q)).\nAnswer: 2832*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p + p = -220. Let b be (-3*2\/6)\/(19\/(-380)). What is the highest common factor of p and b?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t*t*t**(-6))**30*(t**(2\/7))**(-24) assuming t is positive.\nAnswer: t**(-888\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n*n*n**(-1\/18))\/n)\/n**(-2\/9) assuming n is positive.\nAnswer: n**(7\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: (-8 - -3) + -1 + -89 + 235\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {l: 3, p: 1}. What is prob of sequence pl?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t = -2*k - 44, -67 = -9*t + 5*t - 3*k. What is the remainder when 54 is divided by t?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 44 or 64201\/1483?\nAnswer: 44","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3241 is divided by 42?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = r**3 - r**2 - 2*r - 1. What is the least common multiple of (-21)\/(-3) + (-1 - -2) and i(3)?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -433 - -437. What is the smallest value in 3.8, r, 0.8?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -13*s**2 + 25*s**2 - 18*s - 9*s**2.\nAnswer: 3*s**2 - 18*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 93526464037 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve l - 3*l = 3*d + 14, 7*l + 9*l + 870 = -110*d - 13*l + 27*l for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 291 minutes after 6:52 PM?\nAnswer: 11:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*f + 2*a - 26 - 22, -3*a + 4 = -f. Suppose 106 - f = 7*n. Suppose 0 = 5*g + 6 + n, 0 = 3*x - 5*g + 7199980. Round x to the nearest one million.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3105.255ml to litres.\nAnswer: 3.105255","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from hfcfjc. What is prob of sequence ffhc?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2*w**6 - 30442758*w**3*z**2 - 304688*w**2*z**2 - w**2*z - w + 7*z wrt w?\nAnswer: -240*w**3 - 182656548*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*h = 5*d + 17 - 637, 2*d + 4*h - 254 = 0. What is the first derivative of -119*f + 244*f + 61 - d*f + 48*f**2 wrt f?\nAnswer: 96*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1892033831?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 59.776 and -6.\nAnswer: -358.656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 1*(3 + -1)*(-75 - -76). Suppose -4*d = 12, -5*d - 1 = z*k - 0. Let j be (-12)\/k + (-22)\/77. Is -13 at least j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -3215165 or -3215191?\nAnswer: -3215191","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -27095\/6 + 4506. Let n = -1303 - -793. Let w = -961\/2 - n. What is the common denominator of w and u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 45 and 90.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 7\/5 + -9\/10. Which is the second smallest value?  (a) 2  (b) -1\/11  (c) -0.4  (d) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 135039 to the power of 1\/3, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -4782 + 4786. Solve -b = 7*k - 2, 0 = 2*k - z + 2 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 535 is divided by 109.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1.03, -1\/10, -1, -1\/3, 2 in decreasing order.\nAnswer: 2, -1\/10, -1\/3, -1, -1.03","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/4?  (a) -4\/9  (b) -101  (c) -21\/80  (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2091991*m**3 - m - 9416649 with respect to m.\nAnswer: -6275973*m**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((n*(n\/(n\/(n*n*n*n**2*n*n)))\/n)\/n**5*(n\/n**(-2\/3))**(2\/51))**(-49))**(-40) assuming n is positive.\nAnswer: n**(619360\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 24 and (-7 - -719)*2\/(8\/2).\nAnswer: 2136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from tjsjdzj. What is prob of sequence tj?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*l**5 + 39*l**4 + 162*l**3 + 216*l**2 = 0 for l.\nAnswer: -6, -4, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is -216 < -865\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 3457 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -459 - -503. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*k**2 - 20788*k - 20784.\nAnswer: -4*(k + 1)*(k + 5196)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = 14*b**2 + b + 1. Is z(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 19 + -15. List the prime factors of (-3)\/(7 - g) + 56.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 5.9 + 0.1. Let s = -8 + o. Which is the nearest to s?  (a) 5  (b) 0.3  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (5\/3)\/((-3)\/45). Let j = 35 + o. Calculate the remainder when 37 is divided by j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*x + 2*s = -20, 5*x - 3*s + 6 = -14 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -513, -1030, -1533, -2016, -2473, -2898, -3285, -3628?\n\"Answer: a**3 + a**2 - 527*a + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 84027, 168003, 251929, 335781, 419535?\nAnswer: 503167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y - 2*k = -20, -4*y + 4*k + 10 = -30. Suppose -4*v + y = -392. List the prime factors of v.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = 2*k**3 - 2293*k**2 + 217*k - 20. Let c(u) = -u**2 + 2*u + 1. Let b(d) = -c(d) - y(d). Find the second derivative of b(s) wrt s.\nAnswer: -12*s + 4588","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.04243176902 - 3?\nAnswer: -2.95756823098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = k**2 + 2. Let t(p) = 2*p + 6. Let u be t(0). Let r be -2*((-12)\/(-2))\/2. Let h = r + u. What is a(h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -104 - -105.23. What is j rounded to 1 dp?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 26*s - 6336 = 4*s. Let w = 292 - s. Solve -h = -n + 2, 0*h = w*h + 16 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 36164924051 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -119707760 divided by 2\nAnswer: -59853880","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = -6*t - 77. Suppose -2*v = 2*v + 88. Let q be k(v). Calculate the greatest common divisor of q and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -v + 5 = l, -2*v + 1462*l = 1466*l - 6 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = v - 1, 2025 = f + 2*v. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 69268251 to the power of 1\/4, to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = h**2 + 2*h + 1. Let m be y(3). Let k = -16 + m. Suppose a = -k*a + 8. What is the smallest common multiple of 62 and a?\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 20 - 16. Find the third derivative of 3*u**4 - 80*u**2 + 10*u**g + 77*u**2 wrt u.\nAnswer: 312*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 240459?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 1001210110110 + -1?\nAnswer: 1001210110102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is -10288 greater than or equal to -10292?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange ((-1 - 1 + 1)*(-k + 1 - 1) - 4*k - k + 8*k)*(-4*k**2 + 4*k**2 + 2*k**3) to z*k + j*k**2 + l*k**3 + v*k**4 + x and give v.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 81, 66, 25, -54, -183?\nAnswer: -374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.2741159 milligrams in tonnes?\nAnswer: 0.0000000002741159","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.009 times -4?\nAnswer: -0.036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -22 - -48?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*b - 119 - 101. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 44159 to the power of 1\/3, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (143\/(-286))\/((-9)\/(-36))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = b**2 - 8*b + 12. Let i be d(9). Let o = i + -11. Let k = 22 - 7. What is the greatest common divisor of k and o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) be the second derivative of -x**3\/6 - x**2\/2 - 33*x. Let d(j) be the first derivative of 3*j**2\/2 + 15*j - 19. Let a(r) = d(r) + 4*q(r). What is a(9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 2.51 + 0.49. Let d = -0.1 - 0. Let f = 0.2 + d. Which is the biggest value?  (a) f  (b) 4  (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 8 - 212\/26 - 23\/(-65). Which is the nearest to -1?  (a) y  (b) -0.6  (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) be the second derivative of 1\/10*u**5 + 4*u + 2*u**2 + 0*u**4 - u**3 + 0. Factor i(m).\nAnswer: 2*(m - 1)**2*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine k so that -6*k**4\/5 + 88*k**3\/5 - 266*k**2\/5 - 32*k + 40 = 0.\nAnswer: -1, 2\/3, 5, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -3*c**4*f**2 - 1436880*c**4 - 44*c**2*f**2 - 40*f**2 - 5*f wrt c.\nAnswer: -72*c*f**2 - 34485120*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = -10*l + 150. Let d be f(15). Suppose d = x + 1, 46800002 = -3*v - 7*x + 5*x. Round v to the nearest 1000000.\nAnswer: -16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-18345)\/675 + 27 - (-10 + 583\/55)\nAnswer: -7\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 - ((-8 - -4) + 7).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j be -3 + 1 - (-1828)\/552. Let r be (6\/(-92))\/3 - 0. Let g = j - r. Which is smaller: g or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = 37*i - 3. Is j(10) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 150 + -152. Let z = 1 - -14. What is the lowest common multiple of (-5)\/((-25)\/140) - 0 - w and z?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -2\/15  (b) -78  (c) 0.5  (d) -0.5  (e) -36.4  (f) 9  (g) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1 - 131*n**4 - 5 - 64*n**3 + 130*n**4 + 2*n - 4 to the form o*n**3 + g*n**4 + s + k*n + v*n**2 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = -u. Let y be f(-5). Suppose y*h - h = 3*l + 14, -4*l = 4*h. Suppose -9 = -4*z - 0*g + g, 4*z = -5*g + 3. Do z and h have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d = 3*t + 39, -22 = -2*t - 16. Let r(x) = 65*x**2 - 6*x + 43. Is r(d) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 240 and 396.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = h**2 - 11*h + 9. Is n(11) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 110 plus 0.01?\nAnswer: 110.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-2223)\/(-399))\/(21\/(-98)).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-3)\/(-2)*(-2)\/(-3). Let r = 1 + d. Suppose 93 = 5*o - r*o. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2684944 is divided by 476?\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 36684, 73359, 110028, 146691, 183348?\n\"Answer: -3*n**2 + 36684*n + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -930 divided by 2\nAnswer: -465","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence atat when four letters picked without replacement from aaaaaataaaata.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q - 6771 + 2516 = -w, 2*w - 5*q = 8521. What are the prime factors of w?\nAnswer: 2, 2129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -55, -185, -405, -709, -1091, -1545, -2065?\n\"Answer: r**3 - 51*r**2 + 16*r - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert -22 (base 4) to base 6.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 10015*a**5 + a**4 - 8*a**2 + 1262 wrt a.\nAnswer: 600900*a**2 + 24*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u*u*u**(-2))\/u**7)\/(u*u*u**0)**(-14)*((u*u**(1\/3))\/(u*u**(-6)))\/(u\/(u\/(u**(-2\/11)*u))*u\/(u**(-1\/3)*u)) assuming u is positive.\nAnswer: u**(288\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 46902767 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11*u - 11*u - 4 = -a, -4*u = a for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 3.208658 milligrams in nanograms?\nAnswer: 3208658","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Work out -191637084 - -0.06.\nAnswer: -191637083.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = 4*j - 6. Let b(u) = u - 1. Let d(w) = 6*b(w) - l(w). Let n(q) be the third derivative of 5*q**4\/6 + 9*q**2. Give d(n(h)).\nAnswer: 40*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 5635 - 5625. Which is the biggest value?  (a) s  (b) 3  (c) -0.2  (d) 0.3  (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 27 - -2. Let d(w) = w + 33. Let v be d(-7). Suppose p = 2*o - p - v, p = 3*o - q. What is the remainder when 14 is divided by o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 68 + -92 - (3 + -26)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 303 minutes after 9:02 PM?\nAnswer: 2:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 15 - (-11 + 3 - -18)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((-539)\/14)\/(-11) + (-3)\/(-6). Suppose 2*z = -h*s - 0*z + 53956, -3*s + 40477 = 4*z. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(91)*2 - sqrt(91))*-3*3*-5)\/(sqrt(1575) - sqrt(343)*2).\nAnswer: 45*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 784074?\nAnswer: 2, 3, 17, 7687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) be the third derivative of -r**7\/2520 - r**5\/30 + r**4\/8 + r**2. Let n(x) be the second derivative of w(x). Differentiate n(v) wrt v.\nAnswer: -2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 60 = 90*l - 105*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*a + 53*t - 56*t + 18, 0 = -5*a - t + 6 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 48215298 rounded to the nearest one hundred thousand?\nAnswer: 48200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 176 = 4*c + 52*u, 57 - 4 = -5*c + 11*u + 11*u - 25*u - 37 for c.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 n when four letters picked without replacement from cccccccccnccccc.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) be the first derivative of 1\/12*b**4 - b + 1\/6*b**3 + 1 + 0*b**2. Let w(x) be the first derivative of u(x). Solve w(g) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = -o**2 + 44*o - 6. List the prime factors of c(15).\nAnswer: 3, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 0.26, 1, -1, 0, -1\/2, 2?\nAnswer: 0.26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -92 divided by 4?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2521*r - 2435*r - 1629057 - 56543 = 0. Is r a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 2560.24 - 2695. Let y = s + 135. Is y <= 2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = l**2 - l + 1. Let u be q(3). Let n = 12 - u. Suppose -n - 1 = -3*r. Which is smaller: r or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0754136 millilitres in litres?\nAnswer: 0.0000754136","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/32 of a milligram in nanograms?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 49*z - 183 = -2731*o + 2736*o, 5*o + 79 = -3*z for o.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -84 + -54. Let r = 138.0213 + f. What is r rounded to 3 dps?\nAnswer: 0.021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 1.262 and 8341.\nAnswer: 10526.342","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 414 is divided by 22?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 0.2 + 135580.33559152\nAnswer: 135580.53559152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand o - 2*o**3 - o + (4 - o - 4)*(o**2 - 2*o**2 - o**2) - 2*o**3 + 3*o**3 - 2*o**3 - 12*o**3 - 44*o**3 + 16*o**3 + 0*o**3 + 7*o**3 - 2*o**3.\nAnswer: -36*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(1*sqrt(66))\/sqrt(6).\nAnswer: 5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 b and 1 f when two letters picked without replacement from {j: 3, g: 1, f: 2, b: 1, y: 5, a: 3}.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 2571342 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -260*f - 6672 = f - 2235 for f.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -0.2 - -0.2. Let g be (-52)\/(-9) - 6\/(-27). Suppose 0*v = 3*v + 3*j - 9, 2*v - j = -g. Put -1\/4, a, v in ascending order.\nAnswer: v, -1\/4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g - 2*g - 9 = 0. Suppose 0 = g*u - 32 - 22. Suppose -2*b - 2*h + u = 0, 3*b - h + 0 = 27. What is the remainder when 16 is divided by b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -0.3, 4, -3\/20, 145, 5, 3?\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -42, -285, -684, -1239, -1950, -2817?\n\"Answer: -78*t**2 - 9*t + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = a**3 + 24*a**2 - 5. Let k be g(-24). Let o = 4.03 - 0.03. What is the smallest value in o, k, -1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {x: 6, u: 12, r: 1}. Give prob of sequence rxux.\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 4*o + k + 102, -113*o + 90*k + 122 = -118*o + 86*k for o.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -828 or 3475?\nAnswer: -828","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2811?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2)\/((-3408)\/936 - (1 + 8 + -13))?\nAnswer: -39\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.4 times -80?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is (21\/6)\/(21\/12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*o - o + 72. Let l = -25 - o. Is l <= -7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n = -4*g + 9, 2*n + 6 = -2*g + 6*g. Let o = -181 + 198. Calculate the remainder when o is divided by 6\/n - (-14)\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) be the first derivative of y**4\/4 - 2*y**3 + 3*y**2 + y + 1. Suppose 0*x + 3*x - 12 = 0. Let h(c) = -c**2 + 5*c + 1. Let j be h(x). Calculate t(j).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 13751 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) be the third derivative of -b**5\/60 - b**4\/6 + 5*b**3\/6 - 229*b**2. Let c(s) = s**2 + s - 1. Calculate -3*c(o) - f(o).\nAnswer: -2*o**2 + o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = 3*z**2 - z + 14. Let t be w(-4). Let o = t + -61. Suppose -3*q - v + 10 = 0, -4*v = 5*q - 20 - 6. Solve n = -o*d + 26, q*n - 4*n = d - 7 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = -1531*d**2. Let z(m) be the second derivative of m**4\/6 + 3954*m. Determine z(k(o)).\nAnswer: 4687922*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 67169 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert 103331032333 (base 4) to base 5.\nAnswer: 2314402201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 1, -4\/5, -1, 7, -156\/11, 2\/11, -2?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -61 divided by 35.\nAnswer: -61\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is -7192 equal to -7196?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 22*h = 46*h - 48. Suppose -h*d + 30*d = 1848. Let g be 24\/9*(-9)\/(-4). Calculate the highest common divisor of d and g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = 3*j - 7. Let v be (4 - -4) + (-2 - 1). Let i be d(v). Suppose -x + i = -3*x. Which is the third biggest value?  (a) x  (b) -1  (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -3b7644 (base 12) to base 5.\nAnswer: -223100404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 7995.6, -4, 3, -1.1, -0.3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -397 + 1102. Suppose -4*n - 2*a + 562 = 0, -n + 6*n + 5*a = f. Is 26 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = -89*h**3 - 3*h**2 - 13*h - 22. Let w be v(-2). Let b = -355 + w. Is 4 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -16973.186 rounded to the nearest 100?\nAnswer: -17000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = 78*c**2 - 1948*c - 41. Determine u(25).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.1?  (a) -17  (b) 1\/5  (c) 1\/160  (d) 1\/8  (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 581 minutes after 11:55 PM?\nAnswer: 9:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = -5787*s - 81025. Determine z(-14).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*w - 2*w - 97. What is the remainder when w is divided by 50?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2\/5, -3\/14, 2, -0.1, -25371 in decreasing order.\nAnswer: 2, 2\/5, -0.1, -3\/14, -25371","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -549*m**2 - 548*m**2 + 1098*m**2.\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -0.4*85.58\nAnswer: -34.232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 194 + -187. What is the greatest common divisor of 133 and v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 3\/32 of a week?\nAnswer: 56700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = 5*j**3 - 2*j**2 + j. Give n(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 212, 1764, 4348, 7958, 12588?\n\"Answer: -k**3 + 522*k**2 - 7*k - 302","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 136575, 136469, 136363, 136257, 136151, 136045?\n\"Answer: -106*p + 136681","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 18 - 3?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 41*i - 175*i + 3015 = 67*i for i.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -x = 145*b - 139*b - 16, -9 - 4 = -3*b + 2*x for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*q - 51 + 9. Let r(s) be the third derivative of -s**4\/12 + 9*s**3 - 17*s**2. What is the remainder when r(0) is divided by q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + ((sqrt(125) - (2 + sqrt(125))*5)**2 - (sqrt(125)*3 + 5)) + -1 + 1.\nAnswer: 385*sqrt(5) + 2092","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 2 + 3. Let k(d) = d**3 - d**2 - d + 4. Let l(s) = -s**3 - 4. Let o(g) = -4*k(g) - 3*l(g). Determine o(n).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*q - 6*q**2 - 3*q - 6*q**2 + 6*q.\nAnswer: -12*q**2 + 3*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 273*v**3 - 3*v**2 + 28*v wrt v.\nAnswer: 1638","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 85901951 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 4 in 5\/6, -150, 0.2, -1.4?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express (2 - 1 - 2)*((3*i**2 + i**2 - 2*i**2)*(3 - 3 + i) - 2321*i**2 + 179*i**3 + 2321*i**2) as k + d*i**2 + f*i**3 + s*i and give f.\nAnswer: -181","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Does 32 divide 512?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = s**3 + 16*s**2 + 14*s - 13. Let f be a(-15). Let x(h) = -2*h**3 + 4*h**2 - 3*h + 1. Give x(f).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify b**8*b*b\/(b*b**(1\/12))*b*b assuming b is positive.\nAnswer: b**(131\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Determine z so that -4*z**4 - 13287*z**3 - 23238*z**2 + 6640*z = 0.\nAnswer: -3320, -2, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 61\/2 of a minute in seconds?\nAnswer: 1830","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = -2*u - 15. Let y(x) = 2*x + 14. What is 5*v(i) + 6*y(i)?\nAnswer: 2*i + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ddx when three letters picked without replacement from {x: 1, p: 1, e: 1, k: 1, d: 2, u: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 48 and 51536?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*j - 3 = 6*j. Suppose 8*m - j*m + 10 = 0, 5*q + 1 = -3*m. Let n(h) = 127*h**2 + h - 1. Is n(q) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 70 - 64 = -2*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-g**3 + g**3 - 2*g**3)*(-5*g - 5 + 5 + (4 + 3 - 3)*(-3*g + 8*g + 2*g)).\nAnswer: -46*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = -q**3 - 3*q**2 + 5*q + 4. Suppose r - 8 = 3*r. Let x be i(r). Let v = 8 - x. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = -3*g + 15. Let d(w) = -1. Let u(y) = -5*d(y) + f(y). Let a be u(6). What are the prime factors of (-1)\/(-1)*246\/a?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1731 is divided by 104.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6*j**2 - 67*j + 67*j + (-2*j + 4*j - 4*j)*(2*j + 0 + 0) + 0*j**2 - 4*j**2 + 5*j**2 + 2*j**2 + 7*j**2 - 2*j**2)*(1 - 1 + j**2).\nAnswer: 10*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 413302201 (base 5) to base 6\nAnswer: 100213144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-8882)\/8882*4*3\/(-174).\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.05 bigger than 5\/202?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 227 is divided by (-3299 - 34)\/11*((-2)\/(-3) + -1).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 b, 1 y, and 1 z when three letters picked without replacement from {b: 1, e: 1, h: 2, z: 2, y: 2}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*d = 4*j - 2 - 16, 4*d - 2*j = -12 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 4911?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert -45 (base 7) to base 9.\nAnswer: -36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 13763 is divided by 96.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Does 101 divide 234683196?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -79 divided by 6?\nAnswer: -79\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 4\/6*27\/(-6). Let g(o) = -3*o**2 - 39*o + 45. Let i(u) = 2*u**2 + 19*u - 23. Let v(n) = r*g(n) - 5*i(n). Is v(15) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = -41*m + 84. Let c(b) = 43*b - 86. Let g(d) = 4*c(d) + 5*r(d). What is the units digit of g(-9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -343 - -346. Solve 6*h - 4*h + 6 = -4*r, r - h = z for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 375 and 2875?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = m**3 + 5*m**2 + 3*m + 10. Determine h(-4).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 10\/3*(-2 - -5). Suppose 13*t = 4796 + 1054. Suppose 18*n - 9*n - t = 0. Calculate the greatest common divisor of k and n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 40966 divided by -1\nAnswer: -40966","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y - 3*m + 44 = 0, 5*y + 4*m + 73 = -147. Is (-2)\/7 - y\/7 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 6234?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 879 and 198?\nAnswer: 58014","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 47967?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is (40\/(-45))\/((-434)\/(-105) - (-256)\/(-64))?\nAnswer: -20\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = s**3 - 2*s**2 - 79*s + 161. Let d = -10857 + 10859. Calculate t(d).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 6*c**2*r**2 - 832*c**2*w + 2*c*r**2 - c*r + 306*c*w**2 - 260*c + 47*r**2*w + 4489 wrt w.\nAnswer: -832*c**2 + 612*c*w + 47*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 73\/8 and -93\/1544?\nAnswer: 1544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -235691, -472117, -708555, -944999, -1181443?\nAnswer: -1417881","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 15 * 1023915\nAnswer: 15358725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 101449265.\nAnswer: 5, 19, 47, 22721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -42 = -35*n + 28*n for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Divide 8 by 459245.\nAnswer: 8\/459245","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Factor c**5 + 942*c**4 - 8544*c**3 + 14290*c**2 + 23775*c.\nAnswer: c*(c - 5)**2*(c + 1)*(c + 951)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (18 - 6 - 3) + -5 + -18 - -5.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -7271 - -7412. Sort 0.07, w, 3\/7, -5 in descending order.\nAnswer: w, 3\/7, 0.07, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -9936 + 10113. Which is bigger: 154 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 11923741?\nAnswer: 11923741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 189.62 - 268.62. Which is the closest to 1?  (a) z  (b) 4  (c) -0.3  (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*t - 20 = 3*t, -5*i + t + 24 = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 115\/18 and -76\/381?\nAnswer: 2286","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -89*m**4 - 237 wrt m.\nAnswer: -356*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4771*u + 4645*u - 140 - 742 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is (337 + -343)*8\/(-3)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 22*i - 13*i = -2160. Let t = 250 + i. Solve 4*c = -5*p + 17, 0*p - t = -2*p for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00009112 to four decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is -965 bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -c - 92 = 3*j - 85, 0 = 2*j + 6 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3*p + 2*p + 2*p)*(7 - 24 + 42)*(-5 - 7 + 4)*(3*p**3 - p**3 - p**3) to y*p**3 + w*p**4 + v + x*p**2 + a*p and give w.\nAnswer: -200","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) be the second derivative of 0*k**6 + 0*k**5 - 2\/3*k**7 + 19\/6*k**3 + 1\/2*k**2 + 0*k**4 - 5 + 2*k. Find the second derivative of u(z) wrt z.\nAnswer: -560*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = 11*h - 33. Calculate l(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 61047073 is divided by 465?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 793106916?\nAnswer: 2, 3, 7, 17, 373, 1489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 90 - -925?\nAnswer: 9b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 42508, 80153, 117798, 155443, 193088, 230733?\n\"Answer: 37645*t + 4863","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -68491\/42 + 3255\/2. Calculate the common denominator of g and 22\/9.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) be the second derivative of -b**3\/3 - b**2 + 18*b. Let x be u(-4). Let s be (2\/x)\/(1\/15). Sort s, 6, -4\/9 in decreasing order.\nAnswer: 6, s, -4\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q - 7 = -5*k, 3*q = 4*k + 5*q - 4. Suppose 4*a + 78 = k*h, 29 = -3*a + 5*h - 35. Let u = a - -25. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 860917?\nAnswer: 860917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve q**4\/5 + 128*q**3\/5 + 744*q**2\/5 + 1472*q\/5 + 976\/5 = 0 for q.\nAnswer: -122, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -20804, -34949, -49120, -63329, -77588, -91909?\nAnswer: -106304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 415437?\nAnswer: 3, 11, 12589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence vv when two letters picked without replacement from {g: 1, v: 1, d: 1, o: 1, p: 3}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -309.36 + 308.36. Let h = 7.3 + -7. Sort 2, h, w.\nAnswer: w, h, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 19177504 and 311?\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 280\/(-42)*-6 + (7 - 16\/(-4)) - -1.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-3 - 7 - -15) + -10?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 12.07222291 rounded to 0 dps?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 2\/953  (b) -4  (c) 9\/50  (d) -24\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 680143489?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f - i + 3 = 0, -5*f - 3 - 9 = -4*i. Suppose w + 4*o = -7, -5*w + f*w + 15 = -5*o. Let k(r) = -2*r**2 - r. Give k(w).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of (-334)\/75 + (-72)\/900 and 23\/75.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = -5*l + 18. Let d(i) = 5*i - 17. Let b(o) = 5*c(o) + 6*d(o). Let h be b(4). Suppose 45 = h*u - 595. What are the prime factors of u?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -226556317, -453112631, -679668945, -906225259, -1132781573?\n\"Answer: -226556314*b - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 103\/6 and 9\/130.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 534832*u + 2 - 2 - 534838*u.\nAnswer: -6*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 13546556 + 1.4417.\nAnswer: 13546557.4417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = 66*a + 8. Let h(z) = 99*z + 11. What is -5*h(k) + 7*j(k)?\nAnswer: -33*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = -4*h + 3. Let m(r) = 0 + 1 + 3 - r - 3. Let v(f) = 6*m(f) - 2*z(f). Determine v(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) be the first derivative of b**3\/3 - b**2 - 4*b - 40. What is i(-4)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 28172?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:40 PM and 7:22 AM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -25 + (1 - -22 - ((-10 - -21) + 5)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 95\/10947032 and -73\/1918552.\nAnswer: 186099544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -587.1 + 555. Let i = 131.8 + -99.8. Let o = i + p. What is the nearest to o in 3, 2, -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 4, 0.3, -38529, 5 in descending order.\nAnswer: 5, 4, 1, 0.3, -38529","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 421692230 to the power of 1\/6, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {r: 3, y: 1, u: 2, d: 1}. Give prob of sequence ruu.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -20, -34, -48, -62?\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + 6*(0 + sqrt(180)) + 2.\nAnswer: 5 + 36*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) = 2*b - 6. Let i be n(4). Suppose o - i*l + 345 = 6*o, -3*l - 276 = -4*o. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be -2 - 60\/(-27) - (-5)\/45. Factor 16\/3*f - 4\/3*f**3 + 0*f**2 - 16\/3 + g*f**4.\nAnswer: (f - 2)**3*(f + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 9221 - c**2 - 48*c - 53*c + 157*c - 55*c.\nAnswer: -c**2 + c + 9221","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Does 51 divide 2921331?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s = 8 - 2. Suppose 0 = 21*h - 53*h + 2400. Let k be 8 - 590\/h - (-4)\/120. What is the fourth biggest value in -1\/4, k, 0.5, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = 10072*m**2 + 8*m. Let g(w) = -2*w**3 - 27*w**2 + 13*w - 28. Let l be g(-14). Let h be d(l). Round h to the nearest 100000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 175 - 246.65?\nAnswer: -71.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) be the second derivative of 5*o - 3\/2*o**3 + 0 - 9\/2*o**2. What is the units digit of s(-13)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 4359555 and 516?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is three tenths of a kilogram in grams?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 168 and 27300?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -97 - -97.000067. What is n rounded to four dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 72 - 0.0301?\nAnswer: 71.9699","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is (14 + 856\/10)*5 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-12)\/3)\/4 - (-33)\/3\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 3464359\/140 - 24745. What is the common denominator of -41\/16 and w?\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -65904*n**3 - 2*n**2 - 272586 wrt n?\nAnswer: -197712*n**2 - 4*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 22023 (base 7) in base 8?\nAnswer: 12601","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = -311*c - 29523. What is o(-95)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 2*10\/(260\/117)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 49.73387 litres?\nAnswer: 49733.87","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -2376792.00896 - -2377310. Let j = o - 518. What is j rounded to three decimal places?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -25\/1458 and 113\/162?\nAnswer: 1458","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -6248502*t**5 - 65*t**2 - 38845*t wrt t.\nAnswer: -374910120*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 + -3 + (-1 + 4 - -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 353*m**3 + m + 256*m**6 - 353*m**3 + 17*m**2 wrt m.\nAnswer: 30720*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1379732 is divided by 114977.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1806902 = 9*o - 364159. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ccxcxxxxxdxdc. What is prob of sequence cxd?\nAnswer: 14\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*o + 12 + 1 = 0. Calculate the highest common divisor of 9 and o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 92, 85, 2 in increasing order.\nAnswer: -2, 2, 85, 92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*z**2 + 14*z + z**2 + 4*z**2 - 15*z.\nAnswer: 8*z**2 - z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10*p + 20 = 8*p for p.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sum -19 and -94666473.\nAnswer: -94666492","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = 3*v - 3. Let y = -1 - -10. Let p be w(y). Let g be 112\/60*10 - (-4)\/(-6). What is the greatest common factor of g and p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 14.57535 decades in months?\nAnswer: 1749.042","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 309*w = 318*w - 9 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -1021112 + 12101?\nAnswer: -1002011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 27852307 > 27852315?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 72418 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 40 + (-7 - 12) - 32?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 q and 1 o when two letters picked without replacement from doofbdfvbdoqodddd.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -117\/112 and 157\/1134?\nAnswer: 9072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = -h**2 - 1. Let i(m) = m**2 + 5*m - 9. Let a be i(-7). Let s(c) be the first derivative of -7*c - 1 - 1 + c**3 - 2*c**3. Calculate a*n(r) - s(r).\nAnswer: -2*r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 554 + 1456 = 10*y. Suppose w - 193 + y = 0. Let z be (-9 - -11) + (1 - 2)*w. Solve -4*n + 3*t + 14 = -2*n, 3*t + z = -2*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 169457 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w - 5*b - 2 = -10, 3*b = 4*w - 4. Suppose 2*t = 6 + w. Suppose -2*q - t*u = -0*q - 284, -u = 2*q - 292. List the prime factors of q.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 30.41285 millilitres in litres?\nAnswer: 0.03041285","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 1048337 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (2\/6)\/((-5)\/(-15)*-1). What is the closest to a in -7, 0.01, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 58895.9973711 - 58896. Round p to five decimal places.\nAnswer: -0.00263","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -27358062 divided by 11162\nAnswer: -2451","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when (-28)\/(-210)*-6 - (-734)\/5 is divided by 74.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = -50*m - 830. Let y be k(-19). Solve -125*g + y*g = 5 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = 4*o - 58. Let z be p(16). Let w be 14\/3 + (-6)\/9. Let s = 1 - w. Sort s, z, 0 in descending order.\nAnswer: z, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (47 - 356879*j**2 + 32 + 356813*j**2)*(-4 + 5 + 0) as h + x*j**2 + y*j and give x.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 501 minutes after 10:13 PM?\nAnswer: 6:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*t + 20, -2*s + 5*t = -s - 116. Suppose 21 = -2*z + s. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 43 divide 14319?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Total of -10106.1 and -302.17.\nAnswer: -10408.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = 3*d**2 - 352*d + 9008. Give v(38).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (18\/(-8))\/(1\/(-4)). What is the second derivative of 3*u - u - 8*u**4 + z*u**4 wrt u?\nAnswer: 12*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1\/1924 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 4925.9 rounded to the nearest 10?\nAnswer: 4930","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*g - 10 = 32. Which is smaller: g or -3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -1732.29023151 - -1740.790232. Let v = -0.01 + 8.51. Let g = m - v. 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: Suppose 0 = -0*y + 2*y - 42. Let l = 4 - y. Let p = l - -21. Let a(h) = h**3 - 4*h**2 - 3*h + 6. What is a(p)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -401 - -400.9999408. What is w rounded to five decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 0 + (-2)\/(-1)*2. Let h(w) be the third derivative of 5*w**4\/8 - 10*w**2 - 2*w + 40. Let t(k) = k. Determine y*t(l) - h(l).\nAnswer: -11*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: (-14 - -9) + (1 - -5)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-51)\/153)\/(5\/6)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p\/p**(-1\/5))\/p)**24\/((p\/p**1)\/((p\/(p*p**(-5)*p))\/p)) assuming p is positive.\nAnswer: p**(39\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Product of -1073.36 and -2.\nAnswer: 2146.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {a: 1, d: 3, q: 3}. What is prob of picking 1 q and 3 d?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = 4*g**2 + 2*g - 16. Give t(-3).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -5*(-3)\/(-45)*(3 + -1)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1310761?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 28225, 49861, 71497, 93133, 114769, 136405?\n\"Answer: 21636*j + 6589","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 100101111000001111001 (base 2) to base 6.\nAnswer: 42334201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide -891 by -27.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15*w + 115*w - 678 - 1012 = 0 for w.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 2\/8 - (-7)\/4. Suppose 5*t + t - 12 = 0. What is the third derivative of -4*l**i - t*l**2 + 0*l**3 + 2*l**3 + 4*l**3 wrt l?\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (25*a**5 - 3*a**2 + 83*a**5 + 2*a**2 - 27*a**5)*(5 - 5 - 1 + (3 - 2 - 2)*(-2 + 2 - 2) - 2 - 12 - 14 - 3 + 3 - 1).\nAnswer: -2268*a**5 + 28*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 45599.\nAnswer: 45599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 39, 48, 45, 24, -21?\nAnswer: -96","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = -d**3 - 5*d**2 + 8*d + 4. Let a be o(-6). Let m(b) = -3*b + 10. Let i = 92 + 8. What is the remainder when i is divided by m(a)?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is eleven halves of a decade in years?\nAnswer: 55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*m - 2*o + 4*o - 20, -4*m = -5*o + 17. What is the common denominator of -55\/7 and (m - -1)\/((-13)\/(-72)*4)?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) be the third derivative of -7*a**6\/120 + a**5\/60 + a**4\/12 - a**3\/3 + a**2 - 8*a - 28. Let b(o) = -o**3 - 1. Calculate -6*b(i) + y(i).\nAnswer: -i**3 + i**2 + 2*i + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4772816147?\nAnswer: 11, 17, 37, 83, 8311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:21 AM and 7:35 AM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1 - 2287*x + 0 - 313*x.\nAnswer: -2600*x - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 81 a factor of 24997668?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.6?  (a) 0  (b) 497  (c) -16261\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-5)\/(270\/(-18))*(-231)\/(-7).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 319*-1\nAnswer: -319","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k + 45 = 15. Suppose 2*d = f + 90, -5*f = -2*d - 61 + 167. Calculate the remainder when d is divided by k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -43960614 by -1.\nAnswer: 43960614","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 469 - 738. Let f = m + 269.0109. Round f to 3 dps.\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -5*69\nAnswer: -345","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Does 42 divide 19152?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((r\/(r*r**5))\/(((r**(-4)*r)\/r)\/r)*(r**(1\/4))**(-3\/43))**24)**(3\/35) assuming r is positive.\nAnswer: r**(-54\/1505)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = t**3 - t + 5. Let b be d(0). Suppose -b = -5*r + 5. Suppose r*m - 1 = m. Let n(q) = -8*q**2 - 1. Determine n(m).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 22*g - 24*g. Put -2, 2, g in decreasing order.\nAnswer: 2, g, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 6*(8 + ((-3051)\/42)\/9).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1533731 plus -118?\nAnswer: -1533849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:26 PM and 12:15 AM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -1 - (-4)\/((-4)\/(-5)). Let b = -43 - -48. Put 3, b, z in ascending order.\nAnswer: 3, z, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) be the third derivative of 7\/40*v**6 + 0*v**5 + 0*v**4 + 0 + 0*v + 5\/6*v**3 - 16*v**2. Differentiate l(p) with respect to p.\nAnswer: 63*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 464294809.\nAnswer: 11, 42208619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 34*d - 715 = 39*d. Let a = d - -155. Solve a = 2*h + h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.2165 to two decimal places.\nAnswer: -0.22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = 2*r**2. Let f(x) = 7*x + 437. Let l(z) = 5*z + 436. Let b(u) = -2*f(u) + 3*l(u). Determine h(b(y)).\nAnswer: 2*y**2 + 1736*y + 376712","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -297865122*y**3 - 404350*y**2 + 4?\nAnswer: -1787190732","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = 37912*j - 4511521. Calculate h(119).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 351377*r*s**2 + 8796*r*s + 34*r + s**2 + s - 2 wrt s.\nAnswer: 702754*r + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -7*i - 126 + 154. Solve 4*v + i*x = -24, v + 2*x = -3*x - 18 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -24449932, -48899867, -73349808, -97799755, -122249708, -146699667, -171149632?\n\"Answer: -3*b**2 - 24449926*b - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -20230000 to the nearest 1000000.\nAnswer: -20000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -301 divided by 4.\nAnswer: -301\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 17091313 less than or equal to 17091321?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 301 + -298. Solve 3*c - 2*j + 26 = v*j, c - 6 = -2*j for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 356571 a multiple of 716?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*g - 3*k - 3141, 3*g - 5*k = g - 1244. Let u = g + 1054. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6286750 divided by 250.\nAnswer: -25147","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*j**2\/7 - 48*j\/7 - 104\/7.\nAnswer: 2*(j - 26)*(j + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = -7*l**2 + 4*l. Let y(p) = -8*p**2 + 3*p. Suppose 12*x = -16*x + 84. Determine x*i(b) - 4*y(b).\nAnswer: 11*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = 9*u + 3. Let z(m) = -5*m - 2. Let x(i) = -3*b(i) - 5*z(i). Suppose 2*a = -1668*s + 1673*s + 30, -2*s - 33 = -5*a. What is x(a)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = 12*d**2 + 5*d - 4. Let i be m(3). Let t be (34\/6)\/(3\/9). Calculate the greatest common factor of i and t.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((b*b**(1\/2))\/b**(-4))\/(b*b**(-1))**16)\/((b**(1\/2))**(-2\/79)\/(b**(1\/4))**(-9\/2)) assuming b is positive.\nAnswer: b**(2773\/632)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*r + 94 = -w + 441, 3*r - 729 = -2*w. What are the prime factors of w?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -144 + 1432?\nAnswer: 1233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2932167 is divided by 272?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = -6*c**3 + 2*c - 2. Let v be g(1). Let y be v - -12 - -2*3\/(-3). Suppose -120 + 776 = y*i. Is 16 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence tts when three letters picked without replacement from sstttttstttttttttt.\nAnswer: 35\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -3, 5, 4, 15, 9.\nAnswer: -3, 0, 4, 5, 9, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i - 6 = -2*g + 4*i, 0 = -5*g - 4*i - 8. Suppose g = 6*k - 328 + 40. 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 8975.\nAnswer: 5, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0 - -9. Suppose -378 - 153 = g*o. Let u = o - -107. Is 19 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 8, 1029, 0, -1.\nAnswer: -1, 0, 8, 1029","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 108 - 108.7. Let x = 7.7 + -7. Let m = x + s. Which is the nearest to 0.1?  (a) -3  (b) 2  (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10398145 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = -20*o + 184. Let h(q) = 6*q - 61. Calculate -4*g(s) - 13*h(s).\nAnswer: 2*s + 57","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 8920 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = -1. Let n(p) = -2*p + 6. Determine -6*f(l) - n(l).\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 192 in -3\/8, -4\/5, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 149\/816 and -89\/765?\nAnswer: 12240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 2467 - 3?\nAnswer: 2464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 81 a factor of 41735054?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 317.\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -0.8 - 2.2. Let l = -3.2 - -3.5. What is the third smallest value in l, g, 0?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {e: 2, o: 2, r: 4, i: 1, m: 1}. What is prob of picking 2 e, 1 r, and 1 m?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 41800957?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 10 + 0 + -46 + (15 - (-9 - -7))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = -2*y - 2. Suppose 15 = 7*g - 2*g. Suppose -s = -6*f + f - 30, g*s - f = 20. Give m(s).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {m: 1, j: 4, g: 4, y: 1, b: 1}. Give prob of sequence mj.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 1203081654 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 291 minutes after 12:08 PM?\nAnswer: 4:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = -73751*o - 368753. What is z(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 54, 71, 98, 135, 182, 239?\nAnswer: 306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -258 - 8?\nAnswer: -261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (2\/(-30))\/(18\/(-54)). What is the smallest value in 142, o, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 6931?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -535 divided by 52626\nAnswer: -535\/52626","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -2 + -22b?\nAnswer: -22d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:02 AM and 9:44 AM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = -10*i - 5. Calculate h(-3).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 17 - 15. Let a(f) = v - 4*f - f + f + 6*f. What is a(-2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0 + 3. Let z = i + -4. Let k = z - 3. What is the nearest to 1\/3 in k, 1\/2, -0.4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-d - 3*d - 3*d)*(2*d**3 - 2*d**3 + 2*d**3)*(d - 2*d - d).\nAnswer: 28*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-11770)\/220 - -44)*-6?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 293*n - 120*n = 84*n + 5251 for n.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 9\/10 of a millimeter in micrometers?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 359160*d**3 + 1655*d**2?\nAnswer: 2154960","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 636 minutes before 6:11 AM?\nAnswer: 7:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 404 a factor of 24885400?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 14 + 17007?\nAnswer: 17020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3\/(-36)*(-66)\/(-275)*(-14)\/224*20?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 8\/6*(2\/2)\/2. Let r(u) be the first derivative of 1\/6*u**6 + 1\/2*u - u**2 - 2 + 1\/4*u**4 - 1\/2*u**5 + z*u**3. Factor r(x).\nAnswer: (x - 1)**3*(x + 1)*(2*x - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -z**3\/2 - 78*z**2 - 2706*z + 26896.\nAnswer: -(z - 8)*(z + 82)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 27*p - 60*p = -29*p + 3*x - 5, 23 = -2*p + 7*x for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*i**3 + i**3 + i**3)*(11 + 36 + i - 74)*(-i + i - 2*i) - i**5 - i**5 + 3*i**5 - 4*i.\nAnswer: -3*i**5 + 108*i**4 - 4*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) 4  (b) -1  (c) -1\/3  (d) -184\/1801  (e) -2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 380, 385, 394, 407?\n\"Answer: 2*t**2 - t + 379","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 19\/22 - 4\/11. Suppose 5*v + 39 = 2*v. Let o = v - -119\/9. Which is the nearest to -2?  (a) u  (b) 1\/3  (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 183200 to the nearest 10000.\nAnswer: 180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -9.99 + 8.79. Let h = 1 - 1.1. Which is the biggest value?  (a) 2  (b) i  (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7241*z**2 - 8*z + 4*z + 0*z.\nAnswer: 7241*z**2 - 4*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 16739?\nAnswer: 19, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2268*q**2 + 314*q - 314*q.\nAnswer: -2268*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*a - 27 = 1090*q - 1093*q, 2*q + 10 = 2*a for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 48 and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 4 in -4, -2\/15, -0.06, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (300\/(-225))\/(20\/(-6)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -10 + 21. Suppose 0 = -6*d - w - 19. What is the third smallest value in -3, 0.5, 1, d?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c + 4*c = 2*u - 15, 0 = 2*u + 4*c + 20. Suppose -2*q = -u*q - 4. Suppose s + 0*s - q = 0. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) be the third derivative of -7*i**6\/120 - i**5\/15 + 2*i**3\/3 + 32*i**2 + 1. Let c(d) = 22*d**3 + 11*d**2 - 11. Calculate 11*a(p) + 4*c(p).\nAnswer: 11*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 15533?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from iiniiiiiiniiiinniii.\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = -h**3 - 131*h**2 + 2060*h + 27077. What is x(-144)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -3\/5  (b) -108157867  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + sqrt(85)\/(sqrt(10)\/sqrt(2)))*5 + (sqrt(425) - (3 + -1 + sqrt(425)))*-6.\nAnswer: 12 + 5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = -2*y**3 - 6*y**2 + 7*y + 33. Give h(-3).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -822 + 826. Sort 0.2, 11\/5, -2\/9, j.\nAnswer: -2\/9, 0.2, 11\/5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = -6*f**2 + 3*f + 1. Let z = -24 + 20. Let h(v) = 2 + 0*v**2 + 3*v + 2*v - 11*v**2. Let u be (-76)\/(-10) + (2 - 13\/5). Determine u*x(a) + z*h(a).\nAnswer: 2*a**2 + a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = 8685*r - 399517. Give o(46).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 21513455 (base 6) in base 2?\nAnswer: 10011110000101101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 n and 1 f when three letters picked without replacement from {n: 4, f: 2}.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-147)\/42)\/((-1)\/2).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1161794934 to the nearest integer?\nAnswer: 34085","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 2747 - 1636. Suppose 5*x - 1391 = -3*j, -4*x - w = -8*x - 3*j. Is x a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -23, 112, 2 in descending order.\nAnswer: 112, 2, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 4 - -88 - -3 - 2. What is the greatest common divisor of 31 and a?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4 (base 6) to base 8\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 46062257?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (4\/6)\/(4\/12). Suppose -q = t*c + 2, -4*q - 5*c = -2 + 4. Solve -q*m + 4 = -6*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 9030954607?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 94\/(-517) - 48\/(-22). Solve 4*k + w = 5*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b + 4*y - 97 = -591, -2*y + 741 = 3*b. Is 5 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millennia are there in 64.43894 centuries?\nAnswer: 6.443894","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 150 - 94. Let g be (-2)\/(-7) + 544\/l. Let v(n) = -n**2 + 10*n + 11. Calculate the remainder when 31 is divided by v(g).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1707*v - 3251*v - 2281*v to the form j + z*v and give z.\nAnswer: -3825","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-5)\/20)\/(1\/(30\/(-4))). Is j bigger than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -30931\/12 + 2581. Let w = 4392 - 43807\/10. What is the common denominator of w and l?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4551221 (base 7) in base 16?\nAnswer: -8a734","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-10*d**5 - d**5 + 20*d**5)*(4 + 0 - 6).\nAnswer: -18*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:07 PM and 12:52 AM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 13438164 and 8608?\nAnswer: 107505312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {q: 3, x: 13}. Give prob of picking 2 x and 2 q.\nAnswer: 9\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = 10*a**2 - 649*a + 583. Calculate m(64).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d*d**0*d)**43\/(d**(1\/5)*d*d**3) assuming d is positive.\nAnswer: d**(409\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.17 - -467.\nAnswer: 467.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 22869?\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 10843 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 divided by -957421.\nAnswer: -1\/957421","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 37821076, 37821075, 37821084, 37821109, 37821156, 37821231?\nAnswer: 37821340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 115884 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Put 69, -2949, 903 in decreasing order.\nAnswer: 903, 69, -2949","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -22 + 27. Suppose x*f + 3*i - 229 = 4*i, 5*f - 3*i - 237 = 0. Does 14 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 (base 6) in base 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor -8*q**2\/13 + 47642*q\/13 - 11910\/13.\nAnswer: -2*(q - 5955)*(4*q - 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -146 divided by -13?\nAnswer: 146\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 15831 - 79568\/5. Let s = -83 - y. Which is the third smallest value?  (a) s  (b) 3  (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 11*p - 44*p + 11*p - 2*p - 2*p + 2*p - 3*p + 7 + 9*p - 6 + (1 + 2 - 2)*(-2 + 2 + 2*p) + 0*p + 2*p + p.\nAnswer: -13*p + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 17.7 + -18. Sort 1, d, -1\/11 in ascending order.\nAnswer: d, -1\/11, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 3.02 - 0.02. Let z = 35 - 40. Let r be ((-2)\/5)\/((-9)\/5). Which is the nearest to -1\/6?  (a) z  (b) r  (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 13371, 13393, 13429, 13485, 13567, 13681, 13833?\n\"Answer: a**3 + a**2 + 12*a + 13357","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Are 1.572037 and 94\/9 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0.393 + -0.3481. Round v to 2 dps.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i + 8 = -1. Let r(b) be the first derivative of -2\/3*b**i - 2 + 0*b + 0*b**2. Let t(x) = -x. Calculate r(t(w)).\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = v**2 + 20397*v + 101965. Give u(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -46946 = 3750*n + 20554 for n.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 55.000245 - 55. Round r to 5 decimal places.\nAnswer: 0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((3*-2*sqrt(18))\/(sqrt(600)*-1))**2.\nAnswer: 27\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 133\/2591616 and -91\/9144.\nAnswer: 987405696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i = 5*r + 11, -6 = -4*i + r + 10. Let b(z) = z**2 - 2*z + 3. Let h be b(i). Let d = h + 2. What is the lowest common multiple of d and 2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = -k**2 - 13*k - 40. Let l be g(-7). Suppose s + 28 = j + 3, -53 = -l*j + 5*s. Solve -5*y + 0*y = 2*d - j, y = -d + 6 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 659, 1320, 1981?\nAnswer: 2642","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 83\/1620 and (((-7616)\/(-720))\/34)\/(-108)?\nAnswer: 4860","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 0, 17, -1 in decreasing order.\nAnswer: 17, 0, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 65 - 62. Solve -5*t + 14 = i*q, 2*q - 4 = -2*t + 4*t for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4489 + 4642 - 9386)*(-18*w + 5*w + 28*w + 21*w).\nAnswer: -9180*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Round -12319420 to the nearest 100000.\nAnswer: -12300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is three fifths of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = 42 - 4*x + 2*x - 13. Let h be p(16). Is 261 - 4\/(4 + h) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 33 - 33. Let b = -3703\/11 - -337. Are n and b equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -80*p**3 + 38*p**3 + 4*p**2 + 1836*p + 31*p**3 - 1837*p - 5 to the form a*p + u*p**3 + x*p**2 + w and give u.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify h**(-7)\/((h*((h*h\/(h**(-29)*h)*h)\/h)\/h*h*h)\/h) assuming h is positive.\nAnswer: h**(-38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = c**3 - 4*c**2 + 3*c + 4. Suppose -4*s - 5*n + 71 = 0, 0 = -5*s + 4*n + n + 55. What is the remainder when s is divided by o(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: (648\/(-96))\/(-9)*(-16)\/(-18)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -8 - (2 - (7 - -2)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 4*n + 331*g - 330*g + 123, -10*g + 134 = -4*n for n.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 1\/10 of a centimeter?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (30 - (-1661)\/(-55))*22885\/(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = -3618*x - 2. Let f(v) = -5*v. Calculate r(f(s)).\nAnswer: 18090*s - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (59*r + 66*r - 31*r**2 - 123*r)*(2*r**3 + 5*r**3 - 5*r**3).\nAnswer: -62*r**5 + 4*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 69269*h**2 - 405853 wrt h?\nAnswer: 138538*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c = 4*y - 80, 4*c = 15*y - 11*y - 104. Solve 6*j - 3*f = j + y, j = -3*f + 8 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -60.000084 - -60. What is m rounded to 5 dps?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = -6*f + 3. Let x(r) = -r + 1. Let c(d) = 2*d**3 + 53*d**2 - 85*d - 29. Let h be c(-28). Determine h*s(q) + 3*x(q).\nAnswer: 3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*t = 5*z - 10*t - 15*t + 30*t, -3*z = 2*t for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) be the third derivative of 1221*d**4\/8 + 311*d**2. Let k(w) = -w. What is c(k(r))?\nAnswer: -3663*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 63 minutes before 2:25 PM?\nAnswer: 1:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Does 60 divide 99316080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 67088 and 16016?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is (162\/(-16))\/3 + 3?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -d**4 + 9*d*k**3 - 23*k**3 + 2 wrt d.\nAnswer: -4*d**3 + 9*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -88924980567.261973 - -88924901563. Let a = -79048.262 - l. Let r = -44 - a. What is r rounded to 5 decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = 14*f - 2. What is the tens digit of o(7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {t: 5, q: 9}. What is prob of sequence ttt?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 51 minutes before 11:58 PM?\nAnswer: 11:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 89.944 - -3\nAnswer: 92.944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((t**(-4)*t)\/t)\/t**(1\/3))\/(t**4*t\/(t*t**(-6)*t)*t) assuming t is positive.\nAnswer: t**(-43\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 10*a*k**2 + 10*a*k*y**2 - 3168*a*k - 328*a*y**2 - 4*k**2*y + k**2 - 4*k with respect to y.\nAnswer: 20*a*k*y - 656*a*y - 4*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 23*(-35)\/(-4830)*204.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 h when three letters picked without replacement from {f: 6, h: 6}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Does 158 divide 17065422?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 not equal to 8\/42613?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 y when three letters picked without replacement from bywbbyyywywwyyyywbwy?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -3 + 2. Let y = 128 + -638\/5. What is the nearest to y in 2, o, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 3*g**2 - 2 + 2 - 2 + 1 + 6 - 2*g**2 + (-40 + 40 - 3*g)*(-5*g + g - 2*g) + (-3 + 2*g + 3)*(-2*g + 0 + 0) as u + v*g + o*g**2 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 39 + -30. Solve 3*a + 0*z = -5*z - 23, -5*a - z = g for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1.73, -2\/7, -0.4 in ascending order.\nAnswer: -0.4, -2\/7, 1.73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g be -1 - -4 - (1 - 1). Suppose 2*f - 2 = g*t, 5*f - 3 = t + 2. Let j be -1*(f + 0\/1). Which is greater: j or -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*x + 8 + 17. Suppose 3*w - 16 = -2*j, -3*w + 49 = 3*j + 34. What is the smallest value in w, 10, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = 13*f**3 - 3*f**2 - f - 1. Let x(i) = -7*i + 0 + 0*i + 4*i - 3 + 26*i**3 - 7*i**2. Let c(k) = -5*d(k) + 2*x(k). Calculate c(-1).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = -261*k**4 + 26*k**3 - 235*k - 26. Let g(v) = 65*v**4 - 6*v**3 + 59*v + 6. Let s(l) = 9*g(l) + 2*u(l). What is the second derivative of s(m) wrt m?\nAnswer: 756*m**2 - 12*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0838 rounded to two dps?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 69*l**2*w**2 + 12*l**2 + 46*w**2 - 80 wrt l.\nAnswer: 138*l*w**2 + 24*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**(1\/3)\/(x\/x**(-27))*(x\/x**(-6\/5))\/(x\/x**(7\/2)))**48 assuming x is positive.\nAnswer: x**(-5512\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*u + 148*u - 5 + 5)*(-2*u - 2*u**4 + 2*u).\nAnswer: -302*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -0.2  (b) -1  (c) 10.32556\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -19 - 11 - -20 - 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 17 a factor of 935?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) be the second derivative of v**4\/28 - 2*v**3\/7 - 15*v**2\/14 - 36*v. Factor q(n).\nAnswer: 3*(n - 5)*(n + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f = -74*w + 69*w + 166, 4*w - 132 = -2*f. Solve 48*q - w*q = -32 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 3835243?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k + 8 = -0. Suppose -45 = -k*g + 51. Calculate the common denominator of g\/16 + 535\/(-780) and -99\/2.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*g - 2*p - 10 = 0, 2*g - 13*p - 19 = -8*p for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.34597527 to 4 decimal places.\nAnswer: 0.346","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 680824.\nAnswer: 2, 85103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 1089 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = -3*p + 7*p. Suppose -3*o + 4*s = -p*o + 19, s = -5*o - 137. Let r = 53 + o. Calculate the greatest common divisor of r and 286.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 123 - 123.61. Round b to one dp.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1850535526 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: How many minutes are there between 5:45 AM and 1:28 PM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = 18*t - 119. Calculate j(8).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 24192 divided by -52.\nAnswer: -6048\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*k = -642 - 14730. What is the thousands digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = -2*y**2 - 8*y + 8. Let g(j) = j**2 + 2*j - 2. Let m(t) = 3*d(t) + 12*g(t). Let a(h) = -52*h. Give m(a(c)).\nAnswer: 16224*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 56 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: Let t(b) = -4*b. Give t(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = -a**3 - 3. Let n be p(-5). Let x be -9 + (-17)\/((-204)\/(-924)). Let c = x + n. Calculate the lowest common multiple of c and 32.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c = -5 - 5. Suppose 4*s = -g + 18, c*g - 6 = -3*s - 1. Find the third derivative of h**2 + 3*h**2 - h**s - 7*h**2 - h**2 wrt h.\nAnswer: -60*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ttut. Give prob of sequence ttu.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Divide 2 by -1254.\nAnswer: -1\/627","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express 11*t - 25*t - 36*t in the form f*t + a and give f.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 830711378 to the nearest integer?\nAnswer: 28822","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -11011 + 111100011010111101?\nAnswer: 111100011010100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10 = -2*i + 93*g - 195*g + 98*g, -3*i = g for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -428, -445, -462, -479, -496?\nAnswer: -513","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 66 - 15. Let u = y - 27. What is the remainder when u is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4\/3*n**2 + 8\/15*n - 2\/15*n**5 - 8\/15*n**4 - 16\/15 - 2\/15*n**3.\nAnswer: -2*(n - 1)**2*(n + 2)**3\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -11\/19025 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = -44*t**3 - 6*t**2 + 10*t - 20. Let z(h) = 2*h**3 - h**2 - h + 2. Give s(i) + 10*z(i).\nAnswer: -24*i**3 - 16*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -1*(5\/(-1) + 5). Let q be (-5 - (-7 - z))\/(-2). Let l = 0 + 2. What is the nearest to q in 4, -2, l?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -44*m - 3*o + 2 = -48*m, m + 4*o = 9 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 2\/1884169 bigger than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -76 = 676*t - 1428 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 21 and 413?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*a + 4 - 4)*(7*a - a - 5*a - 14)*(1 - 2*a**2 - 1).\nAnswer: -6*a**4 + 84*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = -5*n + 4. Let u(a) = 99*a - 81. Determine -81*m(b) - 4*u(b).\nAnswer: 9*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 96 - 0.102\nAnswer: 95.898","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 33 + -36. Let m = 1137 - 1291. Which is the third biggest value?  (a) t  (b) m  (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:52 AM and 7:06 AM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is -18807\/6454 >= -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -3083545, -3083492, -3083439, -3083386, -3083333?\nAnswer: -3083280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = 2*j - 6. Let n = 3 + 3. Let l be g(n). Let r(q) = q**3 - 5*q**2 - 7*q + 5. Give r(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 1367.8776432 + 27.1217258. Let m = v + -1395. Round m to 4 decimal places.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 6 + -7 - (1 + (-70)\/10). Solve -5*m + 25*f = 24*f, 0 = -b*m + 4*f for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = 674*k**2 + 15*k. List the prime factors of b(2).\nAnswer: 2, 29, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 55\/114041 - -12403241\/529378322. Find the common denominator of m and -7\/9.\nAnswer: 41778","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {q: 7, s: 6, y: 6}. Give prob of picking 3 s.\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + m - 1)*(-25*m + 35 - 35).\nAnswer: -25*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -0.84 + -0.26. Let v = 2060 - 2058.9004. Let q = b + v. What is q rounded to three decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 9270 or -13?\nAnswer: 9270","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*h**3 + 97*h**2 - 97*h**2.\nAnswer: 5*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*w**3 + 9906*w**2 - 189153*w + 478224.\nAnswer: 3*(w - 16)*(w - 3)*(w + 3321)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 85*x - 13 = -5*v + 86*x, 3*v - 23 = -7*x for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is -4 - (-7 - 0) - -127*2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 11017050 rounded to the nearest 1000000?\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -4.48 + 4.78. What is the second smallest value in -2\/7, 0, d?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 19701 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = f**2 - 1476*f - 13384. Determine v(-9).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 137 - 97. Is k a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -171*n**3 + 3518 - 3218 - 7*n**4 - 8020 + 80*n**3 - 166*n**3 wrt n?\nAnswer: -28*n**3 - 771*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p + 4 = 4*y + 2*p, 5*y - p - 6 = 0. Calculate the lowest common multiple of y and 9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 21 - 14. Suppose -5*f = -x - f + z, 4*x - 11 = -f. Factor 3*h - 3*h**2 + 6*h**2 - 2*h**2 - 3*h**x - 1.\nAnswer: -(h - 1)*(h + 1)*(3*h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((x*x\/(x\/((x\/(x\/x**(-1\/3)))\/x*x)))\/x)\/x)**(-30)\/(x**(-2\/5)\/(x**(4\/5)*x))*x**(-1\/6)*x**(1\/2)*x*x\/(x\/x**(1\/5))*x**(-1) assuming x is positive.\nAnswer: x**(641\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -1792772132 - -9.9\nAnswer: -1792772122.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 375 - 164. Suppose -3*j - 4*f = f - h, 0 = -j + 5*f + 57. Suppose n = 3*p - 0*p - 55, -5*n = 3*p - j. What is the highest common factor of 19 and p?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 1491, 1493, 1497, 1503, 1511?\n\"Answer: g**2 - g + 1491","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = -20*z**2 - 2782*z - 282. Give d(-139).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = -11 - h**2 - 6*h - 2*h + 4*h + 38. Let j be w(-6). Suppose 3 - 48*b - j - 119*b**2 + 222*b**2 - 124*b**2 = 0. Calculate b.\nAnswer: -2, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 15 divide 10699500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = 129*r - 427. Give d(3).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -2161134 divided by -3?\nAnswer: 720378","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"}
{"text":"Question: What comes next: 255, 258, 259, 258, 255, 250?\nAnswer: 243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 70\/(-28)*12\/10. Suppose -12 = -7*z + 4*z. Sort m, z, 1 in descending order.\nAnswer: z, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.85 times -2.52\nAnswer: -2.142","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -108 - -108. Suppose d*a - 9*a = -17343. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 55095 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - 1 + 1)*(v + 4*v + 0*v) - 1 + 1 - v.\nAnswer: -6*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 9234274.\nAnswer: 2, 7, 659591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 106107837?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = -5*y - 6. Sort -4, y, 2 in descending order.\nAnswer: 2, y, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*v + 3*v + 48 = 2*b, -4*b + 3*v = -84. Suppose -b*l - 762 = -24*l. Let t = l - -27. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 8\/(-24)*48\/(-104)\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 4934899 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 965 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 135\/15 - ((-6 + 27)\/7 + -3)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 1440 and 5.\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 356408845?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9 + 0 = 3*y. Calculate the remainder when 33\/y*2*-2 is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (248 - 222 - 2*l + 3*l)*(0 + 1 + 0) to the form b + j*l and give b.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = -t**2 + 3*t + 14. Let b be m(6). Let k(y) be the second derivative of -y**4\/6 - 7*y**3\/6 - 5*y**2\/2 - 2*y. Determine k(b).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 7074 + -56595\/8. What is the fifth smallest value in x, 0.06, 1, -4\/7, -33?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be -2*(-2 - -1)\/1. Let f be 4\/16 - (-9)\/(-4). Let t = d + f. Sort -1, t, -2 in increasing order.\nAnswer: -2, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 102032 (base 4) to base 2\nAnswer: 10010001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert -16510 (base 8) to base 7.\nAnswer: -30566","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = 1233*r - 3250. Calculate t(3).\nAnswer: 449","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:31 AM and 6:47 AM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -1*4\/(-18)*12\/(-12)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b**(-2))**(1\/10)*(b**(-1))**(4\/9))\/((b*b\/(b\/b**(-4)))**25)**(6\/7) assuming b is positive.\nAnswer: b**(20047\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 635075111.\nAnswer: 11, 67, 861703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 27\/3 - 4004\/448 - 187\/176.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-n + 0 + 0)*(3*n**2 - n**2 - 4*n**2 + 2*n)*(-40 + 40 - 11*n).\nAnswer: -22*n**4 + 22*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Put together 4 and -0.166642.\nAnswer: 3.833358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = -b**2 + 9*b + 10. Let f be r(8). Suppose -4*s = -s - f. Calculate the smallest common multiple of s and 8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -115*i + 113*i + 14. Suppose i*t - 1231 = 78. What is the remainder when t is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1808406144 divided by 1047744\nAnswer: 1726","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = -3*p**2 - 1. Let k be q(1). Let h(g) = -1 + 4 + 3*g**2 + g**3 - 4*g - 1 + 0. Calculate h(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 73 - 73 - (2 + -2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 242*s + 14 = 249*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -224, 193, 1310, 3475, 7036, 12341?\n\"Answer: 58*q**3 + 2*q**2 + 5*q - 289","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1683?\nAnswer: 3, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 209\/76*11256\/2211?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 380.6 and -107.\nAnswer: -40724.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 less than or equal to 5445\/2276?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 11060?\nAnswer: 2, 5, 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -15*6*8\/80\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Determine s, given that 99228483*s**3 + 927369*s**2 + 2889*s + 3 = 0.\nAnswer: -1\/321","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = 14*l**4 + 6*l**3 - 6*l**2 - 6*l + 323. Let g(x) = -x**4 + x**3 - x**2 - x + 2. Let y(w) = -6*g(w) + s(w). Differentiate y(p) with respect to p.\nAnswer: 80*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -4\/3?  (a) -98  (b) 2\/5  (c) 0  (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -77 = -4*o - 13. Let h(y) = 3*y**2 - 19*y + 13. Let m be ((-1)\/3)\/((-3)\/27) + 4. What is the remainder when h(m) is divided by o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {l: 5, j: 1, f: 1, d: 1, a: 2}. Give prob of sequence lld.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = u**3 + 4*u**2 - 5*u. Let k be b(-3). Solve 5*y - 9 + k = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -3458 - 1510?\nAnswer: -5068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -23?  (a) 0.3  (b) -21  (c) 1\/4  (d) -0.3296\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -7699, -7713, -7717, -7705, -7671, -7609, -7513, -7377?\n\"Answer: y**3 - y**2 - 18*y - 7681","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 o, 1 i, and 1 w when three letters picked without replacement from cggcinwo?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*g - 21 = 7*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 597 is divided by 288?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -i + 622 - 622 - 3*i.\nAnswer: -4*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence yy when two letters picked without replacement from {d: 5, y: 14}?\nAnswer: 91\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -588, -590, -594, -600, -608, -618, -630?\nAnswer: -644","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = -2*i + 13. Let u be (-234)\/52*(0 + -10). Suppose -2*s + 2 - 4 = 0, 4*s = -2*a + 6. Solve 2*x - 12 = i*g, -4*g = a*x + g + u for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/8, -1\/5, 105, 90194 in descending order.\nAnswer: 90194, 105, 1\/8, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 169 - 167. Let z = 9 - k. Which is the second biggest value?  (a) 1  (b) 0.3  (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = -3*o - 3. Suppose 7*m - 12*m = 55. Let y = m + 7. Does 3 divide k(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -13053.79721 and -13458?\nAnswer: 404.20279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 8673 is divided by 181.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 2240 and 4760.\nAnswer: 38080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 7598 or 98784\/13?\nAnswer: 98784\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = -806*m**2. Let v(x) = 887*x**2 - 2. Calculate v(b(t)).\nAnswer: 576227132*t**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -14.778 from -7830.\nAnswer: -7815.222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -54 = 4*s + 10*y, -189 + 195 = -2*y for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*b - 2*c + 25 = c, 5*b + 2*c = 26. Suppose -7 = -i - b. Let y(l) be the third derivative of -l**4\/12 - l**3\/3 + 147*l**2. Determine y(i).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = -6 - 9 - 55*l - 22*l + 57*l - 16*l. Let d(i) = 5*i + 2. Determine -4*b(n) - 30*d(n).\nAnswer: -6*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2 - 0)\/4*300\/(-30)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -51 * -0.4.\nAnswer: 20.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 23826 + 7975 + 27501 = 851*l + 6540 for l.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 3*x**3 - 7*x + 203.\nAnswer: 9*x**2 - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 510 and 13362.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(63) - sqrt(693)\/(sqrt(44)\/sqrt(4))) + 1)**2 + (-3*2*sqrt(252) - -5*(sqrt(252) - 2*sqrt(252)))**2.\nAnswer: 30493","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6*b**2 - 2*b**2 - 2*b**2)*(4*b - b + 0*b)*(0*b**2 + 0*b**2 - 2*b**2 + (4*b + 2*b - 4*b)*(-b + 1 - 1) - 137*b - 44*b**2 + 137*b + b**2 + 2*b**2 - b**2).\nAnswer: -276*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 3689075 to the nearest integer?\nAnswer: 1921","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (5\/12)\/(1\/4). Let u = 58.38 + -1.38. Let h = -54 + u. What is the third biggest value in x, h, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8461 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = 5*w**2 + 2*w + 1. Let c(p) = -10*p**2 - 5*p - 3. Give 2*c(n) + 5*k(n).\nAnswer: 5*n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 234 is divided by 79?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2337*n + 3640*n = 1317*n - 60580 for n.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 47*q - 28*q - 95 = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -248161 divided by -10\nAnswer: 248161\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y*y**41)\/(y\/(y**(-15)*y)) assuming y is positive.\nAnswer: y**27","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand -10*q**3 - 7*q**3 + 3*q**3 - q**3 + 2*q**2 - 2*q**2 + 0*q + q**3 + 0*q + (-1 + 1 - 2*q)*(2*q**2 + 0*q**2 + 0*q**2) + 3*q**3 - 3*q**3 - q**3.\nAnswer: -19*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 46c72 + -906?\nAnswer: 4636b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in -2\/7, 2\/11, -104\/5, 1, -790, 0.2?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -m - 0*q - 2*q - 17, 0 = -465*m + 459*m + 3*q - 42 for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = -4*v. Let q be g(-2). Let w = q + -4. Let l be (-14)\/4 - (-3)\/(-6). Sort w, 2, l.\nAnswer: l, 2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -101\/3 - -34. Let q(t) = 2*t**3 + 3*t - 2. Let o(i) = 3*i**3 - i**2 + 6*i - 5. Let f(z) = 3*o(z) - 5*q(z). Let y be f(-4). Which is smaller: y or n?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 11371097 is divided by 100.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 5, 24, 47, 74, 105, 140, 179?\nAnswer: 222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) be the third derivative of p**5\/80 - 3*p**4\/32 - 275*p**3\/4 + 71*p**2 - 7*p + 1. Factor c(u).\nAnswer: 3*(u - 25)*(u + 22)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 390311, 780641, 1170971?\n\"Answer: 390330*b - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -4 - 35?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 882 and 9.\nAnswer: 882","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 17 is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(2499) - 6*(sqrt(2499) + (sqrt(2499) - 3*sqrt(2499))))\/(sqrt(108) + -2*(-2*sqrt(108) - sqrt(108))))**2.\nAnswer: 833\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is b - 37768a?\nAnswer: -37767b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 391*u = -213*u - 7852 for u.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 156.125 meters in millimeters?\nAnswer: 156125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 13*q**4 + 3*q**3*r**2 + q**3 - 203*r**2 wrt q.\nAnswer: 52*q**3 + 9*q**2*r**2 + 3*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 170 + -50. Let q be ((-3)\/12)\/((-10)\/x). Solve 2*d - 2*s = -3*d + 20, d + q*s - 4 = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 330560640?\nAnswer: 2, 3, 5, 57389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -100101101 (base 2) in base 12?\nAnswer: -211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4 = 4*y - 3*z, -6*y + 20 = -3*y + 2*z for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Add together -4 and -0.02387135.\nAnswer: -4.02387135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand -6*w**2 - 2*w**2 + 2*w**2 + (-3 + 3 - 2*w)*(-w + 0*w + 3*w).\nAnswer: -10*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 151*i**2*r + 2*i**2 + 337*r with respect to i.\nAnswer: 302*i*r + 4*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 14\/(-77) + (-68)\/(-11). Let v(h) be the second derivative of -2*h + 3\/2*h**2 + h**3 + 0 - 1\/12*h**4. Calculate v(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d - 8 = -5*d. Let s(x) = -x**3 - 3*x**2 + 3*x - 5. Let h be s(-4). Let l(g) = -2*g**3. Let m be l(h). Solve r - m = d*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = -h**3 + 3*h**2 - 2*h - 4. Let n be k(3). Let r(b) = 2*b + 28. Let j be r(-13). Let g(c) = -c**2 - 3*c + 1. Let y be g(j). Which is smaller: y or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = s - f, -2*s - 3 = -s + 3*f. Suppose 0 = -p + 8 - s. Suppose b - 3*o + p*o - 27 = 0, -b + 2*o - 1 = 0. What is the least common multiple of 3 and b?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 3, 2, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 41573?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 693.\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p + 5*j = -56, j = -2*p - p + 61. Suppose 14 = 3*y - p. Let t = 24 - y. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add -10202 and -332.\nAnswer: -10534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -4725.3 and -95.\nAnswer: 448903.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 3 - -1. Suppose 0 = 2*z - 0 - 4. Suppose c + z = 3*s + 7, 5*s - g*c + 20 = 0. Solve s = -k - k + 4 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1678?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Does 15 divide 549?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 17576757 to the nearest integer?\nAnswer: 260","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11 = -6*l + 7. Let f = 21 + l. Find the third derivative of -6*z**4 + z**2 - f*z**3 + 4*z**2 + 24*z**3 wrt z.\nAnswer: -144*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t = t + 6. Suppose -48 = -t*m + 3*r, -5*m - 4*r + 60 - 7 = 0. Does 8 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = -2*h. Let b be y(-1). Let j(a) = 2 - a**b - 2 - 6*a + 3*a**2. What is the remainder when 38 is divided by j(5)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = -424365*x + 848589. Give w(2).\nAnswer: -141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = -m + 2. Suppose 6 = 2*f + 16. Let c be v(f). Let a = c - -31. List the prime factors of a.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 12121 times 3140\nAnswer: 38059940","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -2 + -2112112?\nAnswer: -2112121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) be the first derivative of -4*h**2 + 10*h - 277. What is j(2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = -k**2 + 7*k - 8. Let c be h(5). Let i(t) = -10*t + 4. Let p be i(c). Let y = -16 - p. Solve 3*r = -z - y*z + 5, 5*r - 2*z - 1 = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.21 - -1.79. Put 1, 8, t, 5\/3 in increasing order.\nAnswer: 1, 5\/3, t, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1849*p + 55378 - 99222 = 94831 for p.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 10\/6 - 2\/(-6). Suppose -3 = y, 0 = -4*v + 2*y + 3*y + 35. What is the second derivative of 4*h + 3*h**v + 257*h**2 - 257*h**s wrt h?\nAnswer: 60*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 556\/23, 1\/3, 3\/2 in decreasing order.\nAnswer: 556\/23, 3\/2, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is -10432\/77 less than or equal to -136?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 13 divided by 472.\nAnswer: 13\/472","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**(-12))**(-10)*(u\/(u*u\/u**(-6)))**(-3) assuming u is positive.\nAnswer: u**141","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = 14*f**3 - 4*f**2 + 13*f - 11. Let j(t) = -32*t**3 + 9*t**2 - 26*t + 23. What is -4*j(u) - 9*v(u)?\nAnswer: 2*u**3 - 13*u + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (0 + 12)*(2 + -3)\/(-4). Solve -f - 1 = -t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -2233 + -22?\nAnswer: -2310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = l**3 - 33*l**2 - 4*l + 122. What is k(33)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 43 + -123 - 34 - -127.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = 48*y**3 - y**2 - 21*y - 37. Let h be r(-2). Let t = 2076 - h. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 6186, 6199, 6202, 6189, 6154, 6091, 5994?\nAnswer: 5857","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1107?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f be -2 + (-182)\/(-36) + -1. Let i = f + -11\/6. Which is the closest to i?  (a) 2\/3  (b) 2\/11  (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -125 - 3140033?\nAnswer: -3140202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = 24*r**2 - 2. List the prime factors of d(-2).\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 0 + (-1)\/5*0. Let l(o) = 29 - o**2 - o + 0*o + 0*o + o**3 - 31. Determine l(y).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) be the second derivative of -u**4\/78 + u**2\/13 + 8*u. Suppose f(p) = 0. Calculate p.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = -18*r**3 - 31*r + 6. Let t(b) = -19*b**3 - 36*b + 7. Calculate -7*g(u) + 6*t(u).\nAnswer: 12*u**3 + u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from fwzzzffzzkzzwzfzzfff. Give prob of sequence kfz.\nAnswer: 7\/684","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g + 5*o + 85 = 2*g, -29 = -g - 3*o. Suppose 5*v - g = c, v + 8 = -3*v - 4*c. Suppose -v*l = -44 + 2. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = 13 + 0*v + 15*v - 18 + 16. Suppose 2*r - 75 + 17 = 0. What is the remainder when q(5) is divided by r?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {l: 8, n: 2}. Give prob of sequence nll.\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*t**3 + 2*t**3 + 4*t**3)*(-8*t - t + 7*t) + (1 + 2 - 2)*(5*t**4 - 5*t**4 - 5*t**4)*(3 - 1 - 1).\nAnswer: -13*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 1\/4, 0.3, 325, 1, -5, -1\/9?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 103 + -24. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 bigger than -38\/479577?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(228)\/(sqrt(36)\/sqrt(3)) - (sqrt(19) - sqrt(133)\/(-4*sqrt(7))) - (sqrt(1216) - (sqrt(1216) - (sqrt(1216) + 1)*-4) - (-1 + 1*sqrt(1216))))**2.\nAnswer: 477*sqrt(19)\/2 + 480483\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(1584) + 0 - sqrt(1584))*-1 + (-4*(2*sqrt(1584) - sqrt(1584)) - sqrt(1584)) + 1 + -1*(-1 + sqrt(1584)))**2.\nAnswer: -288*sqrt(11) + 57028","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 1013068019 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -17 divided by -22457152?\nAnswer: 17\/22457152","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 318626?\nAnswer: 2, 7, 11, 2069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Does 65 divide 1443753740?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/3?  (a) 5  (b) -0.22169  (c) 0.1  (d) -57\/7  (e) 1\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*g - 5*g = -119493. Let w = g + -56137\/8. Find the common denominator of w and 2\/(11*4\/(-58)).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1 * 0.83876.\nAnswer: -0.83876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -34044 + 4042?\nAnswer: -30002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 75450536?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = -54*q + 3. Let z(o) = -5*o. What is z(j(f))?\nAnswer: 270*f - 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1738?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = a**2 + 3239*a - 22731. What is r(7)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 - 4 + 2)*(0 - 2 - 7)*(10*j - j - 2*j).\nAnswer: -126*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*j**3 + 0*j**3 + j**3)*(-163 - 91 + 17).\nAnswer: -1422*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 740\/7 + -106. Let j = -1.7 + -1.3. Let r = -53\/6 - -9. What is the third smallest value in v, r, j?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1199 + -1196. Which is the closest to -2?  (a) f  (b) -5  (c) 5  (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 4 + -2. Which is the second biggest value?  (a) 3  (b) y  (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 4337?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:10 AM and 6:56 AM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 3 + 1)*(-1 + 1 + 3*d) + (2 - 5 + 2)*(5 - 1 - 3)*(-17*d + 7*d + 8 + 8*d).\nAnswer: 8*d - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) be the second derivative of 188*d**5\/5 - 5*d**4\/12 + 2000*d**2 + 3858*d. Find the first derivative of s(u) wrt u.\nAnswer: 2256*u**2 - 10*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3664?\nAnswer: 2, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 = -0*x - x. Let q be (x\/(-4))\/(1\/2). Let r be (q - -2) + (-41)\/(-13). What is the third smallest value in r, -1\/7, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 7.03 - 0.03. Let w = r + -6.95. What is w rounded to one dp?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -128*b + 490*b - 124*b + 22 - 123*b - 121*b.\nAnswer: -6*b + 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Convert 6156.131 decades to centuries.\nAnswer: 615.6131","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j + 3*q = 19, -12*j + 9*j + 45 = -q. Suppose -5*f + 50 = -5*a, 4*f + 2*a - 4 - 6 = 0. Suppose f*c - j = -2*c. Solve -u = -c - 2 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.2 - 105895051649\nAnswer: -105895051649.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from kzkkkkzzgkkkgkzz. What is prob of sequence kkz?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d be -6 - -6 - (-7 + 3 - (3 + 255)). Solve d*v + 16 = 254*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 356 is divided by 350.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = a**2 - a - 1. Suppose 83*z - 16*z = 67. Let c(x) = -4*x**2 - 10*x + 36. Let l(j) = z*c(j) + 6*b(j). Factor l(h).\nAnswer: 2*(h - 5)*(h - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -139\/55092 and -149\/60?\nAnswer: 275460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-k**5 + 5 - 5)*(-2 + 5 - 2 - 3 + 4 + 3 - 4 + 0 + 2 + (-4 + 2 + 1)*(2 + 4 - 4) + 3 + 4 - 6 + 21 - 34 - 50 + 3 - 1 - 1 + (0 - 4 + 2)*(3 - 1 - 3)).\nAnswer: 58*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = x + 5*h, -25*x + 3*h - 15 = -28*x. Solve 0 = -x*p + 11*p - 12 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 75 is divided by 30 + 2*(-6 + 4)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6708?\nAnswer: 2, 3, 13, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**4*s\/(s*s**(-9)))\/(s*s\/(s**0\/s*s))**(15\/8) assuming s is positive.\nAnswer: s**(37\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve a + 10 = 2*q, 128*q - 4*a = 131*q - 15 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when (1818\/(-16))\/(39\/(-312)) is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*r = 2*r + 3*n - 12, n + 10 = 3*r. Suppose -r = -2*p - 1. Solve -f + d = p, -d - 3 = 3*f - 2*d for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {y: 1, v: 1, b: 6, g: 1, a: 3}. Give prob of picking 1 a and 1 y.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -24*a + 4*b - 21 = -23*a, -5*b = 4*a - 21 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 60 (base 11) to base 3.\nAnswer: 2110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -2 + 2\/(12\/11). Let x(g) = g**3 + 10*g**2 + 8*g + 13. Let q be x(-9). Let i = q + -87\/4. Which is the closest to -2?  (a) i  (b) u  (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -100*y - 2139 = 274*y + 10951 for y.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-4120 + 6*i - 21*i + 3988)*(-2*i - 3*i + 3*i + (i + 3*i - 2*i)*(4 - 5 - 1) + 0*i + i - 2*i) to the form a + w*i + v*i**2 and give v.\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:11 PM and 9:53 AM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) -2\/5  (b) 6.39  (c) 1  (d) -2\/9  (e) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 8 + -4. Let x = -0.7 - -0.6. Let z = -2 + 1.8. Put x, z, m in decreasing order.\nAnswer: m, x, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (4*(-5)\/(-360))\/(4\/6)?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g**3)**17*g**(1\/5)*g*g**(-10)\/g)**36 assuming g is positive.\nAnswer: g**(7416\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k - 5*q - 3 = 0, k - q + 26 = -3*k. Let d(o) = -2*o**3 - 6*o**2 + 17*o - 1. What are the prime factors of d(k)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-3648)\/(-6992)*(217\/21 + 5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = -f**3 + 11*f**2 - 15*f. Suppose 53 + 47 = 5*g. Let p be n(g). Round p to the nearest one thousand.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -7*10\/1190 + (3461\/(-697) - -5).\nAnswer: -1\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1370 and 3756890?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 474 minutes after 3:14 PM?\nAnswer: 11:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence eje when three letters picked without replacement from jkbeepkpjjbbjjp.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = 931*f**2. Let s = -17224 + 17280. Let l(x) = -49*x**2. Determine s*l(q) + 3*i(q).\nAnswer: 49*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*c - 9*b = -5*b + 632, 0 = -2*c - 5*b + 323. Solve 200*r - 68 - 4*r**2 + c + 113 = 0.\nAnswer: -1, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) be the first derivative of 11*q**2\/2 + 4*q + 2. Suppose -4*o = -13*o + 62 - 26. What are the prime factors of s(o)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 432360 (base 11) to base 8.\nAnswer: 2506022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 56\/7 + -5 + 0\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -29 + 50 - 36 + 45 - 30 + 4*o**2.\nAnswer: 4*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -124588 - 1517*x**2 + 2506*x + 9367*x**2 + 124588 wrt x.\nAnswer: 15700","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2520)\/(-360)*3\/(-1 + 4)*3.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 59930 to the power of 1\/3, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 331866 is divided by 1907.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c = -3*l - 17, -3*l + 3*c = -2*c + 1. Suppose d - 58 + 16 = 0. Let z be 114\/d + (-2)\/l. Calculate the greatest common factor of z and 30.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 5140894 and 1298?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = -6 - 23 + s**2 - 6 + 10*s. Let a(d) = -d**2 + 11*d - 1. Let v be a(12). Let c be y(v). Is 16\/5 less than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-15)\/(3\/(-1))*6\/45\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -4, 188513, -0.17?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = -l**2 - 6*l - 5. Suppose 2*p - 10 = 0, 3*p - 35 = 3*b - 2*b. Let j = b - -15. Calculate d(j).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = -r**2 - 4*r + 2. Let n(p) be the second derivative of p**4\/4 + 13*p**3\/6 - 3*p**2 - 2*p - 142. Determine 2*n(u) + 7*t(u).\nAnswer: -u**2 - 2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) be the first derivative of w**2 + 5. Let h(u) = 12*u**2 - 15*u**2 + 8*u**2. Give h(d(m)).\nAnswer: 20*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -4cda5 - 14?\nAnswer: -4cdb9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, 7, -241, 14 in increasing order.\nAnswer: -241, 3, 7, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Put -16543, -0.1, -5, 5, 1, 0.5 in increasing order.\nAnswer: -16543, -5, -0.1, 0.5, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -5038, -10077, -15116, -20155, -25194?\nAnswer: -30233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 1762 - ((3 - 3) + 3). Suppose 3*o + u = -1841. Round o to the nearest one hundred.\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 507\/(-105) + -4 + (-6)\/(-15). Does -8 = r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -111000110011000101 (base 2) to base 4.\nAnswer: -320303011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d - 8 = -3*w, -35*d + 5*w - 12 = -31*d. Let p(n) = n + 9. Let z be p(-5). Solve -z*h + 2*m = -2*h - d, 3*h = -m + 11 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 15231292?\nAnswer: 2, 31, 122833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.195, -1\/3, 252, 1 in descending order.\nAnswer: 252, 1, 0.195, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 198*i + 4*s - 12 = 199*i, -2*i + 12 = 18*s - 14*s for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: (((-255)\/20)\/17)\/((-288)\/(-640))\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) = 9*n**2 - 602*n - 6*n**2 - 606*n - 2*n**2 - 1 + 1209*n. Let i be (-2)\/5 + (-54)\/(-10). Give d(i).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (12 - 31 + 29)*(3 - 2 + 1)*(23*g**4 + 209*g - 209*g) to the form h*g**2 + r + l*g + z*g**3 + u*g**4 and give u.\nAnswer: 460","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = x**3 + 16*x**2 - 55*x + 38. Let w be g(-19). Suppose w = 5*z - 2*y - 13000002, y - 4 = -5. Round z to the nearest one hundred thousand.\nAnswer: 2600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 7 - 21*l - 6 + 11 + 0*l wrt l?\nAnswer: -21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 36357 is divided by 932?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -63 or 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -25\/154 and -141\/70.\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Express -v + v**2 + 4 + 0 - 3 + 8 in the form k*v**2 + o + u*v and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 32387461 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Divide -5108 by -22983.\nAnswer: 5108\/22983","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Factor m**2\/10 - 594567*m\/10 + 297283\/5.\nAnswer: (m - 594566)*(m - 1)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 10892, -60, -5?\nAnswer: 10892","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -5 + 2. Let r = -2 - b. Let a = 0.4 - 0.4. What is the closest to -1 in a, 3, r?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*j = -23*j + 72 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 19 - 6*q**2 + 4*q**2 + 11 to p*q + g*q**2 + d and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 12515308 to the power of 1\/2, to the nearest integer?\nAnswer: 3538","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*q = 16, 0 = -199*t - q - 359 - 278 - 248 - 118 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = -2*u - 29. Let t(x) = -6*x - 88. Let k(c) = -17*p(c) + 6*t(c). Let z(m) = -58867*m**2 + 117744*m**2 - 58873*m**2. Calculate k(z(y)).\nAnswer: -8*y**2 - 35","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 2830*w**3 + 5221?\nAnswer: 8490*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 53.7 + -54. Which is the closest to -1\/4?  (a) y  (b) 5  (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 189, 0.826, -0.4, -0.1.\nAnswer: -0.4, -0.1, 0.826, 189","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 209*-0.02.\nAnswer: -4.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (17809 + 24434*b - 17809)*(3 + 0 - 1)*(3*b**3 + 3*b**3 - 5*b**3).\nAnswer: 48868*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = q**2 - 15. Let m be y(0). Let a = 1019 + -1021. Sort 1, m, -1, a in decreasing order.\nAnswer: 1, -1, a, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = -6*g**2 + 14*g - 9. Let j(h) = -3*h**2 + 11*h - 10. What is -3*j(w) + 2*n(w)?\nAnswer: -3*w**2 - 5*w + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = r**2 + 4*r - 3. Let d be c(2). Suppose 0 = a - 6*a - 15, 0 = -3*k - a + d. Solve 1 = k*w - 7 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -70\/17, -0.5, 9293, -1?\nAnswer: -70\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 9\/((-54)\/244)*6\/(-4). Suppose 3*v + 4*u - k = 340, 514 = 4*v - 5*u. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2\/(4\/(-6))*(-17)\/357.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = -2*f + 1. Let r be 26\/4 + 12\/(-8). Let h(x) = 0*x**2 + r*x**2 - 6*x**2 - 7 - 10*x. Let p be h(-9). Calculate t(p).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1878, 4, 13.\nAnswer: 4, 13, 1878","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.1 - 0.2. Let i = 0.06 - 0.08. Let p = 1.02 + i. What is the nearest to -1 in d, -2, p?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-138)\/8)\/(2\/(-32)). Let m be 107\/9 + -17 + (-2310)\/(-135). Calculate the greatest common factor of m and s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4 times 113.7\nAnswer: -454.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 234523 at least 234475?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 559 is divided by 97?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: (-3*3\/90)\/(7470\/3320)\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = 2*a - 3. Suppose -3*n = 3*s - 6 + 30, -s + 5*n = 2. Let x be y(s). Let j = 26 + x. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 15112841231 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -6.186*99.58\nAnswer: -616.00188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 232 + -244. Let m(v) = -v**3 - 13*v**2 - 12*v + 1. What is m(r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 2\/10 + 52461\/145. Let p = 741 - q. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = -n**2 - 4*n + 4. Let d be q(-6). Let r be ((-3)\/(-6))\/((-7)\/d). Factor -2\/7*a**3 + 4\/7 - r*a**2 + 2\/7*a.\nAnswer: -2*(a - 1)*(a + 1)*(a + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1793 = 2*q + 533. Let v be ((-17)\/(-5) + -3)*q. Suppose 3*i - 5*s = 68, -2*s = -4*s - 2. Calculate the highest common factor of v and i.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -11\/2, -1, -0.2, 9 in descending order.\nAnswer: 9, -0.2, -1, -11\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 47066*p**6 - 36*p**3 + 248*p**2 + 2*p + 15*p**3 - 47124*p**6 wrt p.\nAnswer: -6960*p**3 - 126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -1699 + 2949. What is s rounded to the nearest one hundred?\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0615 plus -0.0146593227023?\nAnswer: -0.0761593227023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -6013699358+0.056\nAnswer: -6013699357.944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.73 - -0.36. Let m = 3.99 + -5.62. Let n = m + j. Which is the second smallest value?  (a) 2\/17  (b) 5  (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 65, 3, 4, 1, -32, -1 in increasing order.\nAnswer: -32, -1, 1, 3, 4, 65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4*6\/18*3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 5277 - 5327. Put i, -1, -3\/4, -2\/19 in decreasing order.\nAnswer: -2\/19, -3\/4, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v + 2*c = 5*c - 102, 0 = -c - 5. What is the remainder when v is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 3*r**2\/7 - 6579309*r\/7 + 26317188\/7 = 0. What is r?\nAnswer: 4, 2193099","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -162*s**4 + 133*s**3 - 586*s**2*x**2 - 3*s*x**2 + s*x - 428*s + 100*x**2 - 1 wrt s.\nAnswer: -1944*s**2 + 798*s - 1172*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 266644736 divided by 262\nAnswer: 1017728","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Add 4.9 and -0.8471483.\nAnswer: 4.0528517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -0.55 + -6.25. Let z = 10.7 + g. Let t = 4 - z. Put -1, t, 0.3 in ascending order.\nAnswer: -1, t, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 6*n**2\/7 + 10630*n\/7 - 3544\/7.\nAnswer: 2*(n + 1772)*(3*n - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 21*k - 72 = 117 for k.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 166424?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 j and 1 d when two letters picked without replacement from jdsdddspsvv?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g*(g\/((g*g**(-1\/11))\/g))\/g*g**(3\/7))\/((g*g*(g\/(g*g**3\/g)*g)\/g)\/g*g**(-1\/4)) assuming g is positive.\nAnswer: g**(853\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 0.13 - 1.43. Let l = a + 1.2. Let g = l - -0.09999993. Round g to 7 decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 133 (base 5) to base 2\nAnswer: 101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = -6*j**2 - 163*j - 31. Determine g(-27).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -38 + 70. Is i a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k\/((k*k\/((k\/(k**(2\/15)*k*k))\/k)*k*k)\/k)*(k*k*k*k\/k**(-8)*k*k)\/k)\/(k*k\/(k*k**(-2)))**(-3\/5) assuming k is positive.\nAnswer: k**(32\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = -k**2 + 25*k - 14. Let m be b(10). Suppose -4*v + 8*v - m = 0. Suppose -8*z + v = -30. What is the highest common divisor of z and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = -v**2 + 6*v + 3. Let x be z(5). Let p be (x + -8)\/(-1*2). Suppose -2*m + m = p. Solve m = 3*a + 1 + 8 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 126 - 132. Is 320\/56 + s + 268\/7 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = 5*g**2 + 4*g + 4. Let q(j) = 11*j**2 + 9*j + 9. Let b = -23 + 27. Let f(k) = b*q(k) - 9*h(k). Let l(i) = -5*i. Give l(f(d)).\nAnswer: 5*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -0.04 times -2682493\nAnswer: 107299.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put together 12 and 18.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = d**3 - 7*d**2 - 7*d + 1. Let k be 4\/(-8) - 9\/(-2). Let v(m) = m**3 - 8*m**2 - 7*m. Let w(g) = k*p(g) - 3*v(g). What is w(5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does -2\/7 = -702\/15215?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 143\/216 and 13\/18?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = 2*g + 820. Let v be t(0). Does 9 divide (-2)\/9 - v\/(-45)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 90 + 370 = 115*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b - r + 2*r + 33 = 0, r + 49 = 3*b. Let y = b + -11. Calculate the highest common divisor of 20 and y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -5, -25, -83, -197, -385?\n\"Answer: -3*q**3 - q**2 + 4*q - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y\/y**(1\/9))\/(y**(1\/7)\/y))\/(y**(-1\/5))**(-14\/9) assuming y is positive.\nAnswer: y**(452\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -315537 + 315417 = -10*z for z.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r\/r**(-1\/6))**(-1\/30) assuming r is positive.\nAnswer: r**(-7\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) be the third derivative of -t**4\/8 + 2*t**3\/3 + t**2. Let m be y(3). Let f(a) = -6 - 3*a + 2*a**2 - 5*a + 2*a - 3*a**2. Determine f(m).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*j**3 + 28734*j**2 - 73607520*j + 22589317728.\nAnswer: -3*(j - 4612)**2*(j - 354)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = 3*i + 21 - 6 - 2*i. Let v = -48 + 48. What is the tens digit of c(v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -8305, -7370, -6435, -5500?\nAnswer: -4565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ry when two letters picked without replacement from {y: 1, l: 2, r: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 101 and 101.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = -7*m - 59. Let q be v(-9). What is the first derivative of -68 - 4*a**3 + 83*a**4 + q*a**3 - 24*a**4 wrt a?\nAnswer: 236*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4.44556 rounded to one decimal place?\nAnswer: -4.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 8525.062 tonnes?\nAnswer: 8525062","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -138147853, -138147855, -138147857, -138147859, -138147861, -138147863?\nAnswer: -138147865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) be the second derivative of t**4\/12 + 5*t**3\/6 + t**2 - 8*t. Let d be m(-5). Suppose -1 + d = c. Solve q - 3 - c = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 649 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*r = -3*d + 14, -d + 6*r + 7 = 2*r. Suppose -174 = 21*z + 15. List the prime factors of d - (z\/21 + 654\/(-42)).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2654043?\nAnswer: 3, 7, 47, 2689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -2 - 1. Let n = -42 + 41.9. What is the nearest to n in -4\/9, k, -5\/2?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (2\/4 - 6\/4)*183. Let o = d + 372. Calculate the highest common divisor of o and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -72890a (base 11) to base 16.\nAnswer: -11d402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -80, -88, -110, -152, -220, -320?\n\"Answer: -i**3 - i**2 + 2*i - 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -191287, -382575, -573863?\n\"Answer: -191288*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -94475000 rounded to the nearest 100000?\nAnswer: -94500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1013 is divided by 189.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {t: 2, x: 1, g: 1}. Give prob of sequence xt.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 146, 296, 446, 596, 746, 896?\n\"Answer: 150*l - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -123 + 420351?\nAnswer: 420224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1627?\nAnswer: 1627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence hgg when three letters picked without replacement from {g: 11, h: 2}?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) be the second derivative of -1\/6*u**3 + 7\/2*u**2 + 2*u + 0. Let v be s(5). Solve 3*n - 4 = v for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = -8*p - p**3 + 0 + 8*p**2 - 3*p**3 + 3*p**3 - 2. List the prime factors of h(6).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = 417*r**2 + 103*r + 7. Is z(-5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*m + m - 3*m)*((2*m + 3 - 3)*(3*m + 0*m - 2*m) + m**2 + 1 - 1 + 0*m**2 - m**2 + 7*m**2 + m**2 + 0*m + m + 0*m).\nAnswer: -20*m**3 - 2*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 83871972, 167743945, 251615918, 335487891, 419359864, 503231837?\n\"Answer: 83871973*d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g + 479 = -4*c, 0*g - 4*c + 463 = 3*g. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 280 and 35980.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -916 plus 11910?\nAnswer: 10994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 1224954800 rounded to the nearest 100000?\nAnswer: 1225000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = 142860*u - 20. Let j be l(7). What is j rounded to the nearest 1000000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 47 - 15. Calculate the smallest common multiple of f and 80.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 0.36  (b) -0.5  (c) -71\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 403 + -223. What is the highest common factor of g and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 21783035627 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {y: 3, r: 1}. What is prob of sequence yyr?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c*c**(2\/5))\/(c\/(c*c**(13\/3)))*(c*c**(2\/5))**(3\/4) assuming c is positive.\nAnswer: c**(407\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -80 + 448. Is 8 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 1 - (22\/(-2) + 2). Suppose c - 2*c + a = 0. Solve 0*l - 5*l = -c for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*y + 151 = 5*t, 0 = -4*y + 7431 - 7339 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) be the second derivative of -s**5\/100 - 4*s**4\/15 - s**3\/2 + 14*s - 2. Suppose x(f) = 0. Calculate f.\nAnswer: -15, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4*s**2 + 2*s**2 + 3*s**2 + (222 - 222 + 13*s)*(4 - 4 + 2*s) + (-2*s + 3*s - 2*s)*(-5 - 2*s + 5).\nAnswer: 29*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1996?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t - 52 = -t. Suppose a - 5*b + 10 = -2*b, t = 3*a + 5*b. Suppose -a*j = j. Solve -3*v - 6 - 9 = j for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 1429169 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -626, -1354, -2046, -2684, -3250?\nAnswer: -3726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -36739, -36751, -36763, -36775, -36787?\nAnswer: -36799","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = 6*o + 1. Let a(t) = 9*t**2 - 615*t + 5255. Let p be a(10). Let x(w) = 1 + w + 5*w - 2*w. Calculate p*b(f) - 8*x(f).\nAnswer: -2*f - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: ((-28)\/(-5))\/(24\/(-30))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*k - 1471 - 89 = 0. Suppose -2*l + 3*u + 2*u = -k, 0 = 5*l - u - 499. What is the tens digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 54206 and 11?\nAnswer: 596266","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = -3*r. Let o(b) = -751*b + 1568*b + 1 - 775*b - 1. Give s(o(f)).\nAnswer: -126*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 951 and 2219.\nAnswer: 6657","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -41 + 59. Suppose -15 = 2*n - n. Let t be 2*(-3)\/h*n. Solve t*w - 5 = 4*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 18*s**2 - 70*s + 290*s - 77*s - 71*s - 72*s.\nAnswer: 18*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = 261*v. Let j(a) = 9*a**2. What is m(j(h))?\nAnswer: 2349*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 270 minutes after 5:32 AM?\nAnswer: 10:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {y: 3, g: 3, s: 3, h: 1, v: 4, i: 2}. Give prob of sequence yys.\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -11*w + 0*w + 12*w.\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = 48*r - 33. Let v(c) = 3*c - 2. Give -2*m(z) + 33*v(z).\nAnswer: 3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -628 = -5*u + 4*y, 5*u + 5*y - 504 = 106. Is u at most 124?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) be the third derivative of -w**6\/120 - w**5\/12 + w**4\/3 + 2*w**3\/3 - 33*w**2. Let i be k(-3). Is -40 > i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = -7*l - 2. Let b(f) = -1134*f - 378. Let m(y) = -b(y) + 189*k(y). Let i(d) = 14*d. What is m(i(p))?\nAnswer: -2646*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -228*r = -236*r + 32. Suppose -4*p = -d - 4023, 2*p - 2*d = r*p - 2004. Does 15 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 162514 is divided by 54170?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 4*z**2 + 49*z + 2 - 23*z - 26*z to k*z**2 + x + p*z and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 450197.13 + -450199.0300059. Let j = -1.9 - u. Round j to six decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*t**3 + t**3 - 8*t**3.\nAnswer: -5*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 97291, 97290, 97289?\nAnswer: 97288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0*d + 4*d - 2*d)*(-4 + 10 + 7)*(-9 + 112 + 67)*(2 - 4 + 4) to the form t*d + z and give t.\nAnswer: 8840","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 5397127?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*i = -2*i + 18. What is the units digit of 1 - 3\/(i\/34)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.2 and -53.\nAnswer: 10.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is (7340528\/(-624))\/(1\/(-9)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:21 AM and 1:01 PM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*v - 7 - 15 = -2*z, 4*v = -4*z - 12. Suppose -f = -5*d - 23, 0*d - 60 = -2*f + 3*d. What is the remainder when f is divided by 2 - (8\/v + -13)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = 70*g - 150*g + 6 + 77*g. Calculate q(6).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 192.1301 years in millennia?\nAnswer: 0.1921301","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express (0 - 2 + 4 + 1 + 2 - 2 + (0 + 3 - 2)*(-4 + 3 + 0))*(2210*w - 7492*w - 3930*w) as r + d*w and give d.\nAnswer: -18424","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/7?  (a) 3  (b) -1\/2  (c) 0.2  (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2?  (a) 5\/9  (b) 4  (c) 2  (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((-16)\/1720)\/((-35)\/(-7) - 7). What is the second smallest value in -1, -0.5, -3, h?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -5423.1 rounded to the nearest one thousand?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f be -7 + -4462 + (-14)\/(-2). Calculate the common denominator of (-10)\/24*f\/345 and 53\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 5\/62, 3\/2, 17?\nAnswer: 5\/62","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -3.62 + 0.62. What is the third biggest value in h, -2\/3, -0.4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 17 by 751145.\nAnswer: 1\/44185","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = h**2 + 67600*h + 1081343. Calculate a(-16).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) be the second derivative of n**7\/210 - n**6\/150 - 67*n**5\/100 + 193*n**4\/60 - 21*n**3\/5 + 3902*n. Solve u(g) = 0.\nAnswer: -9, 0, 1, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -6*o - 92 + 8. Let m = o - -18. Let d(f) = f**3 + 3*f**2 - 3*f - 3. Is d(m) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = -y**3 + y**2 + 4*y + 2. Let n(c) = -2*c + c + 11 + 5 - 17. Calculate 4*n(x) + z(x).\nAnswer: -x**3 + x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -49 - -98. Let v = b + -49.00000046. What is v rounded to 7 dps?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o + 882 = -o + 2*r, r + 451 = o. Let i = -1841\/4 + o. What is the common denominator of i and 107\/12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -5 + (5 - 8) + 4 + (126 - 208).\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.092537 rounded to 3 decimal places?\nAnswer: 0.093","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = -s**2 - s + 6. Let l(d) = -d**2 - 6*d + 22. Let u be ((70\/(-6))\/(-5) - 2)*9. Let z be l(u). What is r(z)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((z*z\/z**(-2)*z)\/z*z\/z**(-2\/119))**(-1\/43))**(23\/2) assuming z is positive.\nAnswer: z**(-13731\/10234)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*d - 31 = 3*w - 2*d, -2*w = 4*d - 16 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**(-3)\/l*l**(-2\/67))\/((l**(2\/9)\/l*l)\/l)**34 assuming l is positive.\nAnswer: l**(13516\/603)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -3132 + 3115 - (-5 + 4 + -64)?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -5*r - 40, 2449*x = 2452*x + 313*r + 2507 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 63, 258, 583, 1038?\n\"Answer: 65*p**2 - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-24)\/(-5) + (-33)\/(-165). Is 15425 - (k - (-1 + 2)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*(sqrt(539) + -1)**2 - (sqrt(539) + -1 + sqrt(539))*3.\nAnswer: -2157 + 14*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -472, -470, -470, -472, -476, -482?\nAnswer: -490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-890)\/(-5) + -1 + 0. Suppose -v = -k + 88. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 66102*i**4 - 17570*i + 2 wrt i.\nAnswer: 793224*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = -36706*c - 293646. Let m be t(-8). Let -1\/3*f**5 + 0 + 37\/3*f**3 + 0*f - 17\/3*f**4 - 19\/3*f**m = 0. What is f?\nAnswer: -19, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 34802900*c**2*o**2*s + 2*c**2*o**2 + 2*c**2*s - 25*c*o**2*s + 2*c*o**2 + 39*c*o*s + 4289*c*o + 2*c*s + o**2*s wrt c.\nAnswer: 69605800*o**2*s + 4*o**2 + 4*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -8, 0.133, -1.4, -0.2, 0.41, -1, -1\/4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -2042 - -200?\nAnswer: -1c42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = -5 - 4*v**2 - 8*v - 7*v**2 + 13*v**2. Let r(s) = s**3 + s**2 + 6. Let f be r(0). Is b(f) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r*r*r**(2\/17))\/r)\/(r\/(r\/(r*r*r**(3\/10))))*r\/(r**(-2)\/r)*r*r**(1\/17) assuming r is positive.\nAnswer: r**(659\/170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-2)\/13 - 4580499\/(-429). Let r = 23891 - m. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = -o**2 + 9*o + 3. Let u be s(9). Let x(r) be the first derivative of 2*r**5 + 0*r + 2 + 2*r**4 + 2\/3*r**u + 0*r**2 + 2\/3*r**6. Factor x(z).\nAnswer: 2*z**2*(z + 1)**2*(2*z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-j**2 - 5*j**2 - 5*j**2)*(-j + 3*j - 3*j)*(3*j - 6*j + 0*j + (-3 + 5 - 4)*(4*j - 2*j + 4*j)) to k*j + a*j**3 + c + t*j**2 + b*j**4 and give b.\nAnswer: -165","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express -16*n**3 - 11*n**3 + 4*n**2 + 2*n**3 - 40*n - 12*n**3 + 39*n**3 in the form r*n**2 + a*n**3 + v + m*n and give m.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = u**3 + 2*u**2 - 2*u - 2. Let v be g(-2). Suppose 0 = -2*n - 10, -4*j - n - 3 + v = 0. Suppose -4*m = -0*m - 4. Solve -j = q + m for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 45845 = 5*s + 45800 for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**(-2\/13)\/(o\/o**(-1\/4)))\/((o*o**16*o)\/o**(-11)) assuming o is positive.\nAnswer: o**(-1581\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when -7 - (-13 + 2) - -74 is divided by 52.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-8)\/32*19728\/(-9). Let p be 8\/5280*x + (-8)\/10. What is the third smallest value in 6\/5, 1\/3, p, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 122 and 1024496464?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 746401 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -185*p = -11*p - 870 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = b**3 - 3*b**2 - 82*b - 157. Calculate y(-2).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) -0.03  (b) 1.4  (c) 750\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = 5*i - 1. Let t(w) = 6*w - 1. Let a(v) = -5*d(v) + 4*t(v). Let j(f) = f**2 - 3*f + 13. Let l(k) = 3*a(k) - j(k). Give l(0).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12149 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is n in -36*n**3\/5 - 296583*n**2\/5 - 617130*n - 246840 = 0?\nAnswer: -8228, -10, -5\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = 3*x + 1. Let b(f) = -10*f - 3. Let q(c) = -2*b(c) - 7*t(c). Let w(m) = -m**2 - 8*m - 8. Give -18*q(n) + 2*w(n).\nAnswer: -2*n**2 + 2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -437, -439, -441, -443, -445, -447?\n\"Answer: -2*x - 435","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -557295332*v**3 - 136491112*v**2?\nAnswer: -3343771992","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 1 + p)*(4*p + 2*p**4 - 4*p) + (-1 + 3*p**2 + 1)*(2*p**3 + 3*p**3 - 6*p**3).\nAnswer: -p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1544 = -909*z + 274. Suppose -22\/9*q**3 - 2\/3*q**z + 22\/9*q - 4\/9 + 10\/9*q**4 = 0. Calculate q.\nAnswer: -1, 1\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 1.5 - 1.3. Which is the nearest to o?  (a) 0.4  (b) -3\/5  (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -625682.682 to the nearest 100.\nAnswer: -625700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 4243172 + -4243175.1500612. Let i = -3.15 - j. What is i rounded to five dps?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = -n**2 + 28*n - 94. What is z(24)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-12)\/(-10)*(-5)\/(-2). Let s(q) = 3*q - p*q + q - 7. Let o be s(6). Sort o, -2, 3\/7 in decreasing order.\nAnswer: 3\/7, o, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3 + -11 + -61 + 53 + 10 + -1?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 30997 is divided by 246.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from gejejxddj. Give prob of picking 3 j and 1 g.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 11795 is divided by 54?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 42573*w**4 + 109*w**3 - 4712279*w**2 wrt w.\nAnswer: 1021752*w + 654","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5.322599km to micrometers.\nAnswer: 5322599000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put -10, -1, -6, 59, -2 in descending order.\nAnswer: 59, -1, -2, -6, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + 2 + (-1 + sqrt(304))*1 + 2 + -5.\nAnswer: -4 + 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 7944*j**4*v + 6*j**3*v - 3*j**3 - 431*j**2*v - 5*j*v + 10*v wrt j.\nAnswer: 190656*j*v + 36*v - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 1\/2, 1132, 3?\nAnswer: 1132","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 8.735122 years?\nAnswer: 0.8735122","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 25*z = 4*g + 28*z - 26, -z = -2 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = -3*q**3 - 137*q**2 + 198*q + 7106. What is l(-46)?\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*y + 4*r = -40, -2*r = y + 11 - 5 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 68*l**6 + 2*l**4 - 1863*l**3 - 360*l**2 + 49*l + 203.\nAnswer: 8160*l**3 + 48*l - 11178","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -266, -245, -222, -197?\n\"Answer: w**2 + 18*w - 285","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Express (-4 + 5 + 5)*(39*n - 56*n + 37*n - 22*n + 1172) as t*n + f and give t.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) = n**2 + 10*n - 6. Let f be d(-11). Suppose -392 = -2*t + 4*m, -804 = t - f*t - 2*m. What are the prime factors of t?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) be the first derivative of -299*p**3\/3 - 92. Let j(b) = -2*b. Determine s(j(k)).\nAnswer: -1196*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 7035756?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -8*x + 7*x + 63. Let u = -1699\/27 + x. Which is greater: 0 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 190*q**3 - 410*q**3 + 214*q**3.\nAnswer: -6*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 37442529?\nAnswer: 3, 4160281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 92347 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t\/t**(-1\/24)*t*t*((t*t*t**(-27)*t)\/t)\/t)\/(t**(-1\/9))**(-9))**7 assuming t is positive.\nAnswer: t**(-4025\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 153, 139, 121, 105, 97, 103, 129?\nAnswer: 181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 12986103?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 83*v**2 - 293 - 130*v**3 - v + 294 + v wrt v.\nAnswer: -780","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((0 + 0 - 2)*(-6 + 2 + 3) + (7 - 5 - 22)*(0 + 3 - 2))*(-1 + 5*c**2 + 1).\nAnswer: -90*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -32*t**2 + 12*t**2 + 7*t**2 to c + u*t**2 + k*t and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 6975 and 80?\nAnswer: 111600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 6412 - 2765. Let b = v + -5632. Is b\/(-25) - (-4)\/(-10) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = -b**2 - b - 1. Let i(r) = r**3 + 4*r**2 - 8. Let u(m) = -2*m**3 - 9*m**2 + 2*m + 24. Let g(f) = 8*i(f) + 3*u(f). Give -5*c(h) - g(h).\nAnswer: -2*h**3 - h - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-144)\/42)\/((-3)\/21). Let z = u + -71\/3. Factor -z*r**3 - r**2 - r - 1\/3.\nAnswer: -(r + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*j = 6*j + 14. Let q = -1 + 1. Suppose 2*y + 5*i - 699 = q, 0 = -y - y - j*i + 714. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6*y + 1530 - 1530.\nAnswer: 6*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = 5*x**2 + 15*x - 2. Let u be s(-3). Let o = -0.04 + -2.96. Let p = -2.8 - o. Which is the fourth biggest value?  (a) -2\/7  (b) u  (c) -0.5  (d) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -22690000 rounded to the nearest one million?\nAnswer: -23000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -1088012 * 434\nAnswer: -472197208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 151228?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3\/5 + 588\/(-180).\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = a**2 + a + 1. Let w(t) = 3*t**2 + 2*t - 1. Let u(b) = -2*m(b) + w(b). Let j(s) be the first derivative of u(s). Let r(f) = 34*f. Give r(j(l)).\nAnswer: 68*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort -111, 3014, 10 in increasing order.\nAnswer: -111, 10, 3014","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -z - 9*g + 4*g + 4, -g = -4*z + 58. Let y = z - 10. Is 3 greater than or equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*j**2 + 6*j**2 - 4*j**2 + 16.\nAnswer: -j**2 + 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 119956175753 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.5 times 45210?\nAnswer: -22605","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 314 is divided by 140?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 11707, 47486, 107357, 191320, 299375, 431522?\n\"Answer: 12046*n**2 - 359*n + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4186 + 9009 = 29*o. What is the least common multiple of o and 11?\nAnswer: 5005","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 28797088 a multiple of 2379?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 26 - 8 = 18*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*k - 4*u = 4 + 2, 0 = -2*k + 3*u + 13 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -3.48 + -0.04. Let i = w - -3.520298. Round i to 5 dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*h - 4*r = -1455, 5*r - r - 582 = 2*h. Suppose 3*d - d = 3*p - 2340, -3*d = 5*p - 3919. Let y = p + h. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 5?  (a) 0.02  (b) 0.05  (c) 23  (d) 2  (e) 5\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 2.5 - 13.5. Let l = -11.088 - h. Let m = l + 0.08942. Round m to 4 dps.\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 12*f**2 - 35*f**2 - 29*f**2.\nAnswer: -52*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -576 - -576.3. Sort 56, 1\/3, -1, t in descending order.\nAnswer: 56, 1\/3, t, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 13326031 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 592 minutes after 2:42 AM?\nAnswer: 12:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from bnnsnbobsgsbnssss. What is prob of picking 2 n and 1 g?\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n - 5*y = -98, n - 2*y = 3*n - 86. Let k = 101 - n. List the prime factors of k.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -8*t + 2*t**2 + 16*t**4 - 19*t**4 - 2*t - 2*t to the form m*t**3 + i + h*t**4 + q*t + b*t**2 and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express 79*w**2 - 80*w**2 - w**3 + 9*w**3 + 1 + w in the form q*w + z*w**3 + m + i*w**2 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -342 = -43*m + 260. Let u be (m\/70)\/((-2)\/(-50)). What is the closest to -2 in 0, 2, -2\/9, u?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 96a (base 13) to base 11.\nAnswer: 1233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 27787*u = 27764*u - 644 for u.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = 203*u**2. Let p(q) = -4*q + 189. Give p(y(n)).\nAnswer: -812*n**2 + 189","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 162 and 228.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) be the first derivative of 2*o**3\/3 + 94*o - 1310. Let c(z) = -4*z**2. Give q(c(n)).\nAnswer: 32*n**4 + 94","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*f = 40 - 54 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.108 times -66?\nAnswer: -139.128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = -15*a + 8. Let o(u) = 105*u - 60. Let c(f) = 15*l(f) + 2*o(f). Let h(g) = 11*g**2. Give c(h(j)).\nAnswer: -165*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a - 5*y = -38, a + 4*y - 2*y = -3. Let f = a - -15. Factor -f*n + 2\/3*n**2 + 4\/3.\nAnswer: 2*(n - 2)*(n - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1)\/(-3)*2*12\/(-16).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1491, -1497, -1507, -1521, -1539?\nAnswer: -1561","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = c**3 + 2*c**2 + 4*c + 5. Let u be t(0). Suppose 5*q - 3*o = 86, 0*o = 4*o + 8. Let i = q - 8. Solve -2*a - 10 = -4*a - u*z, a - 4*z = -i for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 48187 is divided by 12.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((-3)\/5)\/(5\/(-25)). Suppose 97*v + 20 = 92*v. Put 1, v, t in decreasing order.\nAnswer: t, 1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -52395 - 80*j**3 + 52395.\nAnswer: -80*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -260717\/35 + 7449. Which is the second smallest value?  (a) 14  (b) 4  (c) r  (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 2588 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ufff when four letters picked without replacement from {f: 3, u: 5}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 2093 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in seventy-two fifths of a litre?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 16*m*z + 12550*m - 28*z wrt z.\nAnswer: 16*m - 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 8a4a (base 11) in base 2?\nAnswer: 10111010001000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 265*j = 274*j - 99. Suppose -j = 14*r - 95. What is the smallest common multiple of r and 15?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 628d (base 14) to base 13.\nAnswer: 7963","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Product of -92.5323 and 0.08.\nAnswer: -7.402584","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -32 = 7*b - 74. Suppose 11*n - 71 = b. Let d(p) = 2*p + 5. Let l(g) = -1 + 2*g + 6 - 1. Calculate n*l(w) - 6*d(w).\nAnswer: 2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 10 + -7. Suppose 0*u + 51 = -4*u - g*v, v + 50 = -5*u. Let m = u - -15. Calculate the smallest common multiple of m and 9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((h*h\/((h**(-7)*h)\/h))\/h*h)\/(h\/(h**(2\/3)\/h))*h**(-4)\/h**(5\/6))**(-2\/11) assuming h is positive.\nAnswer: h**(-17\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = 2*u - 4. Let l be r(3). Suppose 3*k = -k. Solve i + k*i - l*g + 5 = 0, 5*i - 5*g = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 73 by 13376731.\nAnswer: 73\/13376731","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 1260\/147*(-42)\/(-18)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*j = w + 3*j - 7, 0 = -5*w - j + 49. Factor -14*n - w*n**2 + 18*n**2 - 7*n**2 + 49.\nAnswer: (n - 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 146474.\nAnswer: 2, 73237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 558 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 26453 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -5319*j**5 - 20469126*j**2 + 1944*j**5 + 20465684*j**2 wrt j?\nAnswer: -202500*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*f = -4*a + 3*f - 2, a = 2*f - 3 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence cp when two letters picked without replacement from {u: 4, p: 1, c: 1, b: 1, y: 1}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -2 + -6. Let r = -1 + v. Sort 4, 2, r.\nAnswer: r, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 440028053 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 52150403 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -1425\/88 + 20671\/1320. Let b = -98983\/12 + 8242. What is the common denominator of b and m?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -194*f**2 - 178*f**2 - 979*f**2 + 150*f**2.\nAnswer: -1201*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = 4*k**2 + 2*k. Suppose -y - 4*z - 19 = 0, 5*y + z = 7*y - 7. Calculate d(y).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 128628962 to the nearest integer?\nAnswer: 505","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 35*q + 2281*q + 1861*q.\nAnswer: 4177*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence pee when three letters picked without replacement from eeeeeeeeeeeeeeeeeepe?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.001198950073 to 7 decimal places.\nAnswer: -0.001199","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = -866*r**2 - 8*r - 26. Let o be y(-9). Round o to the nearest 1000.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*j - 2*j + 140 = 0. Let t = -146 + j. Let d = t - -180. What are the prime factors of d?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 6821 to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) be the third derivative of -2*l**3\/3 + 5*l**2 - 3*l. Let t(g) = g - 1. Give -c(j) + 4*t(j).\nAnswer: 4*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = 5*j - 224. Let l(b) = b + 1. Let z(n) = g(n) + 2*l(n). Let d be z(33). Solve -4*u - 2*r = -d*u - 15, -2*r = -4*u - 14 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -35 less than -1.2445?\nAnswer: 33.7555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 7 + 3*z**2 - 3 - 4 - 5*z to the form p + g*z + u*z**2 and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = -3306*d**3 - 17*d + 7139. Let n(a) = -551*a**3 - 3*a + 1190. Let z(q) = -3*c(q) + 17*n(q). What is the first derivative of z(i) wrt i?\nAnswer: 1653*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(99) + 2)*-6)**2 + 2*sqrt(1331)*2.\nAnswer: 476*sqrt(11) + 3708","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -15*x - 41682*x**3 - 41392*x**3 + 83509*x**3.\nAnswer: 435*x**3 - 15*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 5  (b) 1\/11  (c) 224.2  (d) -0.5  (e) -123\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 6465 and 57055?\nAnswer: 73772115","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6600 = -38*l - 50*l. Calculate the remainder when 298 is divided by l.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 0.22, 3650, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2*o - 79*o**3 + 43*o**3 - 2*o**5 + 322 + 119*o**3 + 185*o**3 wrt o?\nAnswer: -40*o**3 + 1608*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do 2 and 383\/418 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3769?\nAnswer: 3769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5 divided by 116954.\nAnswer: 5\/116954","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 376 - 1137 + 380 + 381 + r.\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 100385599.\nAnswer: 5927, 16937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 71 - (-33 + 84 + 46)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) be the third derivative of 11*p**6\/300 - 31*p**5\/150 + p**4\/3 + 2075*p**2. Factor u(v).\nAnswer: 2*v*(v - 1)*(11*v - 20)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 47002090 rounded to the nearest 100000?\nAnswer: 47000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 753335404.\nAnswer: 2, 43, 67, 65371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 174494, 174469, 174444, 174419, 174394?\n\"Answer: -25*y + 174519","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -4 * 2139\nAnswer: -8556","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 318255689.\nAnswer: 318255689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = 3*r. Let t(m) be the third derivative of 3*m**2 + 0*m**4 + 0 + 0*m**3 + 0*m + 1\/60*m**5. What is t(p(k))?\nAnswer: 9*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 7642072 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 286527 or 286517?\nAnswer: 286527","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1824 divided by 4.\nAnswer: 456","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 36460519 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 5109 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Convert 6360.925 nanograms to grams.\nAnswer: 0.000006360925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1546 is divided by 124?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -r**3*t**2*u**2 + 7*r**3*t**2 - r**3*t*u + 2*r**3*u + 2*r*t + 5*t**2 + 2*u**2 wrt t.\nAnswer: -2*r**3*u**2 + 14*r**3 + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 735.95 * 0.1\nAnswer: 73.595","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -49, -27, -1, 29?\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -519*j**2*u**3 - 3*j**2*u - 603*j**2 - 110 wrt u?\nAnswer: -1557*j**2*u**2 - 3*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -23 = -3*p + k, 0 = p - k + 68 - 79 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 514*a - 521*a + 4550. Solve -a = -5*c - 660 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 568 and 32.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = 6*a - 1. Let z be (-8)\/2 + 4 + -2. Give m(z).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {p: 5, g: 15}. What is prob of picking 2 g?\nAnswer: 21\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from dyyfddpdddydddd. Give prob of sequence df.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*g + 6*g = 2328. Let f = -751 + g. Is 12\/9 - f\/(-3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = 3*i. Let u(l) = 3020072*l. Give u(w(p)).\nAnswer: 9060216*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*h - 7*h = 3 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -0.08 + 0.2. Let a = -0.16 - l. Let n = a - -0.28. Which is greater: n or -0.06?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 4626, 9252, 13878?\nAnswer: 18504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when (-6564*(-27)\/(-162))\/(-1*1) is divided by 12?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -175104 (base 8) to base 16.\nAnswer: -fa44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r + 0*r = -18. Let w(p) = 4*p**2 + 14*p. Does 15 divide w(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 567660?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2381166, 4762342, 7143518?\nAnswer: 9524694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (25\/3)\/(-7 + 132\/18). Suppose 4*h + n = 6*h - j, 4*h + 2*n = 62. Solve -4*q = -2*o + h, -3*q - 17 + 8 = -2*o for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 43958961.\nAnswer: 3, 31, 157559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round 1818007000 to the nearest one million.\nAnswer: 1818000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -27 - -29. Suppose x*v + 162 - 174 = 0. Suppose -3*s = 2*s - 10. Solve 0 = s*h - 10, -2*p + 5*h = -v + 21 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = -11*h**3 + 4*h**2 + 3*h + 3. Let b(v) = -21*v**3 + 8*v**2 + 5*v + 5. Let g(x) = -3*b(x) + 5*t(x). Find the third derivative of g(q) wrt q.\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*s - 32 = -11*s. Solve s*j = 10*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -443, -883, -1325, -1769, -2215?\n\"Answer: -q**2 - 437*q - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 7 - -17. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -1774 - -1810.04. Let v = 3.96 + x. Which is smaller: -5 or v?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -30144 take away 2?\nAnswer: -30146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -231399.5578 rounded to the nearest 1000?\nAnswer: -231000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 16 a factor of 4277952?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 37 + -22. Let x(t) = 6 + q*t - 22*t - 2. Let i(o) = -6*o + 3. Suppose -12 = 8*m - 11*m. Calculate m*i(w) - 3*x(w).\nAnswer: -3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 535787, 535791, 535797, 535805, 535815?\n\"Answer: x**2 + x + 535785","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 900 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 384 and 2432.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*j**4 + 17431674*j**3 + 25321955635191*j**2 + 50643858975372*j + 25321920771852.\nAnswer: 3*(j + 1)**2*(j + 2905278)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12850*s - 12849*s = -5*g + 19, 4*s - 25 = -3*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = -8*m**2 + 2*m - 2. Let k be n(3). Suppose -19*c + 23 = 5*d - 20*c, 4*c - 23 = -3*d. Suppose -27 = d*a + 308. Is a equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = 2*f**3 - 4*f**2 + 2*f + 1. Let h be u(2). Suppose 0 = 2*y + 3*y - 2*o + 8046, -y + h*o = 1623. Let i = y - -3661. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -6, 191, 49, -5, -3, 377.\nAnswer: -6, -5, -3, 49, 191, 377","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2268 + 14643 = 45*f. Is 8 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0592 to 2 dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -0.4 times 0.26\nAnswer: -0.104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000084875 to seven decimal places.\nAnswer: -0.0000085","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 584693\/24 - 24356. Find the common denominator of 70\/27 and l.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 104567, 209098, 313629, 418160, 522691?\nAnswer: 627222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 181 is divided by 8 + -1 + ((-1090)\/(0 + -5))\/2.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 24 and 184215.\nAnswer: 1473720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3 (base 11) to base 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*g + 3*g - g + (-3 + 1 + 4)*(-1 + g + 1) + 3*g - 2*g - 3*g + (5*g - 3*g + 0*g)*(-5 + 2 + 4) - 4 + 4 - 3*g.\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve v**2\/3 - 15647*v\/3 + 119784 = 0.\nAnswer: 23, 15624","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -0.553 - -0.62. Let l = 12276225 + -12276225.06699919. Let u = a + l. What is u rounded to seven dps?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1024 and 21908.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Express -4*v**3 + 5*v**3 - 2*v**3 + (-4*v**2 - v**2 - 2*v**2)*(62*v - 55*v + 115*v) as c + j*v + q*v**3 + t*v**2 and give q.\nAnswer: -855","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 19, -592, -10 in decreasing order.\nAnswer: 19, 2, -10, -592","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is -8269 <= -8270?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -112\/177 + -6325\/354. Which is the closest to -1?  (a) -1\/6  (b) -4  (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 - -34 - (-8)\/(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from rqrtqqqqqqtttr. What is prob of sequence rq?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 12 + -10. Solve 5 = -u, -j*h + 3*u = h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = -q**3 - 5*q**2 + 5*q - 3. Let v be f(-6). Suppose z = -z + 4. Suppose -5*i + 4*o - 5 = 0, z*i - 3*o = -i - 6. Is v equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*m**2 + 198*m - 1296.\nAnswer: 3*(m - 6)*(m + 72)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Product of 3 and -789.\nAnswer: -2367","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + (-3*sqrt(5)*-2 + 1*(1 + sqrt(5)))**2.\nAnswer: 14*sqrt(5) + 245","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25*m = -26*m + 72. Let f be (297\/(-44))\/(3\/(-56)). What is the greatest common factor of m and f?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*z - 16 = 2*z. Let q be (-6)\/14 + 240\/21. Suppose -q*a = -z*a - 117. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.013985 to two decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 10 - 5 - (-189)\/7. Is d bigger than -0.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 27379?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:35 PM and 6:46 PM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -945, -1864, -2781, -3696, -4609, -5520, -6429?\nAnswer: -7336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 350342 and 118.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 6 + -2. Let t be (6\/(-4))\/(21\/p). Suppose 5*i - 3*i = 0. Which is smaller: t or i?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 15005?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is (-28)\/10 - ((-28)\/(-4) - 29\/((-348)\/(-156)))?\nAnswer: 16\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 6\/25 of a microgram?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = -w**2 + w. Let x(f) = 1314*f**2 + f + 20. Let r(g) = 2*t(g) + x(g). Let s be r(-4). Round s to the nearest ten thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.1 + 1.1. Let m = -21 + 26. Let r = m - 7. What is the biggest value in r, 1\/3, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {h: 6, f: 6, w: 6}. Give prob of sequence fh.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"}
{"text":"Question: What is 223 - 3?\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Convert 78798.65 micrograms to kilograms.\nAnswer: 0.00007879865","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-3 - -2) + -2 + 4. Suppose -6*z + 8*z = 8. Let j(v) = 2*v + z - 2*v**2 - 3*v**2 - 1 - 4. Determine j(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = 33*c. Let s(v) = 2*v**2. Determine f(s(u)).\nAnswer: 66*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -4 + (1 - (4 - (-1 - -8)))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: (-30)\/(-715)*130\/15\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 117*d - 177 + 106 + 773 = 0 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 3411 (base 5) in base 13?\nAnswer: 2b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-124)\/6510*(-25)\/5.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 3902370124?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 4 and 1754.\nAnswer: 7016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = 2*j**2 - 2*j - 37. Give d(-5).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -6 + (-23 - 3 - (6 + -18)).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 4\/5, -0.26, 597806?\nAnswer: -0.26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*w = 4*p - 3, -p + 5*w + 39 = p. What is the remainder when 33 is divided by p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 4\/7?  (a) -14  (b) 1  (c) 5  (d) 85588\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -1166 + 1438. Is 17 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = -10*g - 179*g**3 - 185*g**3 + 363*g**3 - 25*g**2 - 26. List the prime factors of j(-25).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from oqwao. What is prob of sequence oaw?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 360?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {f: 2, n: 2}. What is prob of picking 2 n and 1 f?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from asaudcuacuciaiiadd?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3449.\nAnswer: 3449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4 divided by 32211.\nAnswer: 4\/32211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert 621aa5 (base 11) to base 9.\nAnswer: 1781300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t = 14 + 19. Does 2 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 6232 - 6156.15. What is x rounded to the nearest ten?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 0.5  (b) -0.1  (c) 2\/5  (d) -0.03  (e) 0.24\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 7813 or 359385\/46?\nAnswer: 359385\/46","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 113\/1762926 and -6\/253.\nAnswer: 40547298","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert 967800.2 kilograms to milligrams.\nAnswer: 967800200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 2066685 to the power of 1\/4, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*s**2 + 18 + 32555053*s - 32555053*s.\nAnswer: 2*s**2 + 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a be -1 + 1 + (-1 - -3). Let r(b) = -2 - b**a - 4 + b**3 + 1. Suppose -4*g + 4*i = 8, 7*i - 6*i = 3*g + 2. Determine r(g).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 40631.\nAnswer: 41, 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = -69*x**3 + 142*x**2 - 25*x. Let t(s) = 70*s**3 - 140*s**2 + 30*s. Let a(g) = -5*q(g) - 6*t(g). Factor a(k).\nAnswer: -5*k*(k - 1)*(15*k - 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 11648680 to the nearest integer?\nAnswer: 3413","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 220377 + -219997.614. Let q = -380 + s. What is q rounded to 1 decimal place?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 19933 is divided by 6614.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -4642, -9284, -13926, -18568?\n\"Answer: -4642*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -125, 2, -2 in increasing order.\nAnswer: -125, -2, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/4?  (a) 4.37  (b) -9  (c) 29  (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = p**2. Let u(b) be the second derivative of -13*b**4\/6 + 2*b - 155. What is -u(c) - 13*v(c)?\nAnswer: 13*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 0 - -3. Let q = -5 - b. Let h = 428 + q. What is h rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -4.7 - 0.3. Let r be -2*(-5)\/(-10)*-1. Let h be (10 + -4)*r\/(-33). What is the nearest to -1 in -4, k, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 107389 is divided by 20?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -z - 635*z**2 - 2499*z**2 + z + 0*z.\nAnswer: -3134*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q + 2*z = z - 23, -4*q - 5*z = -39. Let m be q + (-1)\/(0 + -1). Let k be 2\/3 + (-428)\/(-6). Calculate the greatest common factor of k and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.137 - -3.863. Which is the third smallest value?  (a) 4\/3  (b) 0.5  (c) w  (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -10, 517.\nAnswer: -10, -3, 517","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1*-94 - 946270\/(-10040)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + ((-6*(sqrt(152) - ((sqrt(152)*-1*3 - sqrt(152)) + sqrt(152)) - sqrt(152)))\/(sqrt(16)\/(sqrt(4)\/sqrt(2)*1)))**2.\nAnswer: 6154","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 40258, 40288, 40318?\nAnswer: 40348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {p: 1, i: 2, b: 1, e: 1}. Give prob of picking 1 e and 1 i.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-40000)\/15*(2 - -928). What is w rounded to the nearest 100000?\nAnswer: -2500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -27.31 - -27. Let v = 0.071959 - -1.928041. What is the third biggest value in h, 0.05, v?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20 = 5*f, -2*q - 6*f = -2*f - 22. Let l = 1 - q. Let w be (-2)\/6*18\/l. Sort 2, -1, w in decreasing order.\nAnswer: w, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3 times -11253\nAnswer: -33759","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 15027921 is divided by 2287.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q = b - 16, 4 = -q - 5*b - 0*b. Let l be -2*(14\/4 - 0). Let g(d) = 9*d + 1. Let t(i) = 8*i + 1. What is l*t(c) + q*g(c)?\nAnswer: -2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 10 and 2275?\nAnswer: 4550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 1004 - -7?\nAnswer: 1012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -1165*i**4 - 4*i + 5633 wrt i?\nAnswer: -4660*i**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*j = 27 - 7. Let r(x) = 3*x**2 + 7*x - 12. Is 14 a factor of r(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = 8*x + 55. Let j(n) = 45*n + 279. Let y(h) = -2*j(h) + 11*w(h). Let s(m) = -25*m**2. Determine s(y(l)).\nAnswer: -100*l**2 + 4700*l - 55225","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 17538 is divided by 17530.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 105091 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = -g**3 + g**2 + g + 2. Let c be i(0). Suppose -m + c*k + 6 = 0, -2*m + 8 = 5*k + 41. Sort m, 3, 0 in decreasing order.\nAnswer: 3, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 404 divide 147950?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 140749986 to the power of 1\/3, to the nearest integer?\nAnswer: 520","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*h + 310 = 0, -12512 = 2766*g - 2763*g + 202*h for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) be the second derivative of -5*z**4\/3 - 11*z**3\/6 + 3*z**2 + 5*z. Suppose 0 = -3*p + 4*p + 17. Let u(k) = -7*k**2 - 4*k + 2. What is p*u(r) + 6*x(r)?\nAnswer: -r**2 + 2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = 6*n - 4*n - 1 - n + n**2. Let q(k) = 3*k**2 + 2*k - 2. Suppose -p = -v + 3, -v - 2*p + 22 = 4*v. Determine v*c(r) - 2*q(r).\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 6735 + -6691. Solve -64 - o = -36*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 775017 - 774951.9931. Let k = i + -65. Round k to three dps.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = -780*h + 2. Let x(z) = -173*z. Calculate v(x(y)).\nAnswer: 134940*y + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Work out 2.86240852 - -13058.7.\nAnswer: 13061.56240852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is -31 != -1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 8014 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) be the second derivative of -n**6\/120 + 11*n**5\/80 - 19*n**4\/48 + 3*n**3\/8 + 11*n - 9. Solve c(y) = 0 for y.\nAnswer: 0, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 83693 - 25001 + 25236 = 39*z. What is the remainder when z is divided by 53?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -52553797 plus -20.164?\nAnswer: -52553817.164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v - 5*v = -16. Suppose 0 = v*d + 2 - 6. Which is bigger: d or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9 = -2*y + 7. Let k be (5 - (y - -1)) + -3. Let l = 1 + -5. Sort l, -1, k in ascending order.\nAnswer: l, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -45*q - 102239*q**3 + 102405*q**3 + 45*q.\nAnswer: 166*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {i: 10, v: 6, f: 2}. Give prob of picking 4 i.\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*f**5 + 4*f**4 - 2*f**3 - 4*f**2.\nAnswer: 2*f**2*(f - 1)*(f + 1)*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: (612\/(-663))\/(2990\/1690)\nAnswer: -12\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from qiqicbiiiiibicqqiq. Give prob of sequence cqqb.\nAnswer: 1\/918","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -5 - -10. Let r = -5.1 - -4. Let o = r + 1.4. What is the nearest to 1 in p, o, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -49*s - 14*s = -4*s. Sort 0.24, s, 1\/2 in descending order.\nAnswer: 1\/2, 0.24, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 186 - 99. Let s = a + -50. Let n = 37.96 - s. What is n rounded to 1 dp?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 34\/2668835 and -34\/4803903?\nAnswer: 24019515","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 s and 1 o when two letters picked without replacement from boobbsbbbssstb?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: ((-318)\/(-795))\/(-1 + 28\/30)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) be the second derivative of -q**2\/2 + 2*q. Let f(y) = -3*y + 6. Let i(z) = f(z) + 4*n(z). Differentiate i(j) with respect to j.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1)\/(12\/(-96)) - 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 1\/(-3)*-3*2\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 47023535 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4762224949?\nAnswer: 4762224949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Divide -856 by 107.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (0 - 1) + -2 + 0 + -2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -29 + 33. Let s be ((-212)\/(-50))\/(2\/(-10)). Let i = s - -21. Which is the closest to -0.1?  (a) o  (b) -0.4  (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-6)\/16)\/((-6)\/8). What is the nearest to -2 in 0.2, 3\/7, v?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 5734?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, -0.3, -62\/9, 0.14 in descending order.\nAnswer: 0.14, -0.3, -2, -62\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) be the third derivative of -w**8\/112 + 19*w**7\/175 - 37*w**6\/100 + 11*w**5\/25 + 7*w**4\/40 - w**3 - 46*w**2. Find q such that v(q) = 0.\nAnswer: -2\/5, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*w**2 - 5*w**2 + 2*w**4)*(-4 + 5 - 2) + (w - 2*w + 0*w)*(w - w + 2*w**3) + (0*w**2 - 2*w**4 + 0*w**2)*(0 - 2 + 3).\nAnswer: -6*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) be the second derivative of g**5\/20 + g**4\/6 - 5*g**3\/3 + 27*g. Let d be k(5). Suppose 9*n - 10 = d. Calculate the greatest common divisor of n and 75.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 4 - -4. Let n(d) = 0 + 2 - 6501*d - l + 0. Let o be n(-6). Round o to the nearest ten thousand.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do 20569\/17 and 1209 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -101700.8407460059 - -0.0202460059. Let n = 101321.9 + k. Let c = -379 - n. What is c rounded to two dps?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = -91*t - 4078. Let c be l(-58). Is c greater than or equal to 1197?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9*l + 2*c - 34 = 0, -10*l - 217*c - 51 = -220*c for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.001329032 rounded to five decimal places?\nAnswer: 0.00133","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 925 a factor of 2724112050?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 10 - -223301120?\nAnswer: 223301130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 296 and 746008.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 79*n = -m + 74*n - 46, -5*m + 3*n = -22 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:51 AM and 12:13 PM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = r**3 - 6*r**2 + r - 4. Let j be l(6). Let n(c) = -c**j - c**2 + 1 + 3*c**2 + c**2 + 4*c. Calculate n(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) be the second derivative of -n**4\/12 + 17*n**3\/3 - 144*n**2 - 4577*n. Factor i(t).\nAnswer: -(t - 18)*(t - 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -16\/5, 3\/5, -1\/2?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1642445.\nAnswer: 5, 7, 167, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*u**3\/5 - 2217*u**2\/5 - 147*u\/5 + 108633\/5.\nAnswer: 3*(u - 739)*(u - 7)*(u + 7)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + 2 + sqrt(98) + sqrt(98) + -2 + 3)**2 + -1.\nAnswer: 84*sqrt(2) + 400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r*((r**(-1\/8)*r*r)\/r)\/r)\/(r*r\/r**2))\/((r\/r**1)\/(r**10\/r)) assuming r is positive.\nAnswer: r**(79\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = g - 1. Let f be n(0). Let i = -41 - -41.3. Which is smaller: f or i?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -96 + 98. Which is the third biggest value?  (a) o  (b) 2\/17  (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = -79*m - 503. Is c(-10) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -r - r - r + (32 - 18 - 15)*(-2*r + r - r + (-1 + 1 - 1)*(2*r - 3 + 3) + 2*r - r - 3*r + 1 + r - 1 + 0*r + 3*r + 0*r) as h + a*r and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 - 36 = -3*h. Let i = h - 1. Calculate the remainder when i is divided by (-114)\/(-15) - 6\/(-15).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 12 or 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -53\/198 - -1\/22. Let f = -0.5 - -0.4. Which is the nearest to 0?  (a) f  (b) 1\/3  (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1\/24 <= -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is six fifths of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 2*-1*(-9)\/6. Let d = 1 + o. Let g(a) = a**3 - 6*a**2 - 6*a - 2. What is the smallest common multiple of g(7) and d?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 30528545 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 177317 is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = -v**3 - 8*v**2 - v + 8. Let u(n) = -n**2 + 1. Let w be u(-3). Let p be a(w). Is p + -1 + 6 + -4 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -20.121 + 20.221. Which is bigger: m or -40\/101?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from uoiriiuuinririo. What is prob of sequence noi?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + -5*sqrt(11) + 1.\nAnswer: -5*sqrt(11) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 6903703452?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Work out -572672887 + -0.06.\nAnswer: -572672887.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(192)*-1 + 4*sqrt(6)\/sqrt(2) + (sqrt(192) - (-3*-2*sqrt(192) - sqrt(192) - sqrt(192)) - (sqrt(192) + -1 + -5))**2)*-4.\nAnswer: -12432 + 1552*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 53 is divided by 28.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 14743?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -147670 divided by -3?\nAnswer: 147670\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -5, 43 in descending order.\nAnswer: 43, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is -198784 >= -198791?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((u**24*u)\/u**11)\/(u**(-1\/14)\/(u\/u**(1\/23)*u*u)))**50 assuming u is positive.\nAnswer: u**(137075\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.02 in 1\/2, 3.8, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -70 (base 8) in base 11?\nAnswer: -51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 2 and 356?\nAnswer: 356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 30247.\nAnswer: 7, 29, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 155 is divided by 42.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 252 + 685. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -376 - -378. Solve 2*v + s*j = -3*j, 0 = -5*j + 10 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.5 + -2.5. Let v be (-27)\/(-60) + 147\/490. Sort v, 3, j, 1 in descending order.\nAnswer: 3, 1, v, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-9)\/(-21))\/((-3)\/(-21))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 129\/4 - 32. Let j = 101\/4 - 25. Factor -j*d + 1\/4*d**2 + 1\/4*d**3 - n.\nAnswer: (d - 1)*(d + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine o, given that 15804*o**4 + 10548*o**3 - 147496*o**2 - 210832*o - 160 = 0.\nAnswer: -2, -1\/1317, 10\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -2271 - -6811\/3. Put -0.1, -0.44, 3, w in increasing order.\nAnswer: w, -0.44, -0.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -317254*q**2 - 6804582*q**2 - 332383*q**2.\nAnswer: -7454219*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -3.9, 0.068, -797?\nAnswer: -797","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 10128 and 5064?\nAnswer: 10128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -26.3226 + 26.3. Round x to 3 decimal places.\nAnswer: -0.023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*b = -18 + 117. Suppose k + 0*k = b. Is k a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6384413723 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-25 - 9095\/(-357))*(-11)\/((-44)\/30)?\nAnswer: 25\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 591 - 4*r**2 - 591.\nAnswer: -4*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 489314*b + 130841 wrt b?\nAnswer: 489314","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 19783 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 36, 52, 78, 114, 160, 216, 282?\n\"Answer: 5*n**2 + n + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = -q**4 + 2*q**2 + q + 1. Let t(m) = -m**5 + 5*m**4 - 15*m**2 + 441*m - 5. Let l(h) = -5*j(h) - t(h). Find the second derivative of l(d) wrt d.\nAnswer: 20*d**3 + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be -9 - 2\/(1 + -3). Let u be v\/1 - (-24)\/8. Let s(f) = -f**3 - 4*f**2 + 13*f - 1. Let r be s(-6). Are r and u non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 0.5, -13, -2\/7, -0.1, -2896395, 5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Work out -594 * 0.5.\nAnswer: -297","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 23 and 2461?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 5\/7 + -97 + (-380589)\/(-3990)?\nAnswer: -9\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2014984*m**3*s + 2*m**2*s + 1211034*m**2 - 13*m wrt m?\nAnswer: 12089904*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 19304 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -262209686, -524419375, -786629064, -1048838753, -1311048442, -1573258131?\n\"Answer: -262209689*g + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(80) - sqrt(20))\/sqrt(10) - sqrt(504)\/sqrt(7).\nAnswer: -5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = -g**3 - 6*g**2 - 6*g - 3. Calculate the remainder when 5 is divided by n(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -801cb (base 14) in base 15?\nAnswer: -61288","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = -2*p + 7. Solve -t - t + 11 = -3*w, 0 = -p*t + 5*w + 25 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -5799, -23204, -52213, -92826?\n\"Answer: -5802*j**2 + j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 1801817 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y + 476 = -f, 0 = 6*y - 4*y + f - 961. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 0.3 - 0. Let c = 11 - 7. What is the second biggest value in -3, c, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 7 + -3 + 23 + -21 + 10.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of j**4 - 2*j**2 - 19*j + 922 wrt j?\nAnswer: 4*j**3 - 4*j - 19","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert -550 (base 8) to base 7.\nAnswer: -1023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 3 in -0.1, 0, 0.7, -3\/8?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 13*u + 2*u**2 + 20*u**3 - 13*u**2 - 18*u**3 + 7*u**2 + 2*u**2 to the form f*u**3 + q + t*u + y*u**2 and give t.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-51)\/(24531\/(-148)))\/(14\/(-273)*3*-3). Factor -34\/3*x + o*x**3 + 6 + 14\/3*x**2.\nAnswer: 2*(x - 1)**2*(x + 9)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1260)\/(-120)*(-1)\/((-28)\/(-6))?\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d + 13011377 - 131377 = 0. Round d to the nearest one hundred thousand.\nAnswer: 3200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = y**2 - 17*y + 2. What is the smallest common multiple of 8 and p(17)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 344631886 is divided by 44.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -113*h - 123*h - 2360 for h.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*o - 8 - 12. Suppose -2*a + 111 = -o*c, 5*a - 364 = -3*c - 102. Let i = a + -267\/5. Is i less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1040)\/112*112\/20?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 54564.49 microseconds to milliseconds.\nAnswer: 54.56449","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3*i**2 - 20*i - 1 + 20*i to the form v*i**2 + k*i + q and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:54 AM and 8:13 PM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 5\/1 + (3 + -13)\/2. Solve -5*i = -h*i + 25 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -20782 + 20791 - (-71 - (-1 + -1 - 0))?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = m - 4. Suppose -w = -z - m - 0, 5*w = 2*z + 21. Suppose 3*q = 3*s - 5 - 4, -5*s + 15 = 2*q. What is the nearest to q in z, 4, -5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -75*b = -246 - 654. Let t be -6 - (1 - (-1)\/1). Let q = b - t. Calculate the least common multiple of q and 28.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, -14, 5, 56279 in descending order.\nAnswer: 56279, 5, -4, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = -c**3 - 8*c**2 + 9*c + 1. Let g be n(-9). Solve 2*a = 5*d - 2*d - 2, -g = a for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-384 - -381) + -4 + -1 + 1 + 1?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n = -n + 15, -m = -n + 49. Let s be m\/(-15)*(-10)\/(-3). Solve -x = x - b + 8, -3*x = b + s for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -59\/18312 and 77\/180?\nAnswer: 274680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -498 + 228. Let o = -270.00000766 - f. What is o rounded to seven decimal places?\nAnswer: -0.0000077","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) be the first derivative of a**2\/2 - 4*a + 79. What is c(-5)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-1)\/3*(-4 - -4). Suppose -2*d - d = p, -4*d = 5*o - 5. Put o, 6, -3 in descending order.\nAnswer: 6, o, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -9*t - 53 - 1. Let z(g) = g**3 + 8*g**2 + 8*g + 6. Give z(t).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 2194 + -1466. Is 11 a factor of (((-81)\/6)\/9)\/((-6)\/q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 68342, 135214, 202086, 268958, 335830?\nAnswer: 402702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = o**3 + 8*o**2 + 5*o - 7. Suppose 0 = -12*f - 0*f - 84. What is m(f)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*l**3\/3 + 130*l**2\/3 - 2686*l\/3 + 17918\/3.\nAnswer: -2*(l - 31)*(l - 17)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 84\/52417 or 1?\nAnswer: 84\/52417","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve w + 6*w - 7 = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 419.6 and 1154969?\nAnswer: 1154549.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Round 9192688.92 to the nearest ten thousand.\nAnswer: 9190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -768, -4, -2 in increasing order.\nAnswer: -768, -4, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w = -2*t, 0 = 5*w - w + t - 12. Suppose -4 = w*n - 36. Calculate the remainder when 61 is divided by n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_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: Suppose -34*p - 48*p = -10250. Solve 124*j = p*j + 5 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -268144 rounded to the nearest one hundred?\nAnswer: -268100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 1*-1*1 + 5. Let j be 4*1 - (-11)\/(-11). Find the second derivative of -g**4 - 2*g**4 + 0*g - g**n + j*g wrt g.\nAnswer: -48*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = -2*r. Let p(v) = -v**2 - 8*v - 7. Let d be p(-6). Suppose 4*n + 9 = 3*i, -d*n = -n. Calculate f(i).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2?  (a) 4\/995  (b) -1\/7  (c) 1\/3  (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 60b166a + 6?\nAnswer: 60b1674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -416 + 5416110?\nAnswer: 5415361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5680 = q - 143*q for q.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 85, 275, 583, 1003, 1529, 2155, 2875?\n\"Answer: -g**3 + 65*g**2 + 2*g + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 21023 - 201132211?\nAnswer: -201111122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) be the first derivative of 5*i**7\/147 + 4*i**6\/35 + 2*i**5\/35 + 11*i - 3. Let x(q) be the first derivative of g(q). Let x(c) = 0. What is c?\nAnswer: -2, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 73.4 * 49.0434\nAnswer: 3599.78556","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 289440 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -13*v**2 + 2*v**3 + 28*v**2 - 6 + 8*v**2 to the form d*v**2 + u + q*v + l*v**3 and give d.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 126459 and 18.\nAnswer: 252918","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 15 - 3)*(0 + 0 - q).\nAnswer: 15*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 75*k - 131*k - 5 + 57*k + 6*k**2 + 5.\nAnswer: 6*k**2 + k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence fv when two letters picked without replacement from vyyyfvfvy?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -3*h**2*o**4 + 245*h**2 - 807*o**5 - 2*o**2 + 1 wrt o?\nAnswer: -72*h**2*o - 48420*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h be -1425*121 - (237 + -222). Round h to the nearest one thousand.\nAnswer: -172000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1788.744 + -9900\nAnswer: -8111.256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -15 in -4, -1, 8, -0.034?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 6177260*k**4 + 3667*k - 258?\nAnswer: 74127120*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 0, 36, 20, 63 in descending order.\nAnswer: 63, 36, 20, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 136 and 170?\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1107?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = -l + 18. Solve 4*p - 5*m = -1 + 13, 0 = 5*p - 2*m - l for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*r + 71010 = k, k - 2*r - 89126 + 18121 = 0. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -10, 0.3, 0.8, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {r: 3, s: 2, v: 6, u: 1, c: 5}. Give prob of sequence ucc.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = -u**3 + 7*u**2 + 10*u - 10. Let i(g) = -25*g + 983. Let c be i(39). Calculate v(c).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = -k**3 - 4*k**2 + 4*k. Let s = -34 + 30. Let w(z) = z**2 - z. Calculate s*w(t) - u(t).\nAnswer: t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w = 2*b + 3971 - 977, 3*b - 4009 = -4*w. Let x be (-1)\/3 + w\/75. Suppose 7*t - x = 22. Solve t*c + 2*h + h + 21 = 0, 4*c + h = -14 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 0.1  (b) 3\/4  (c) -7\/4  (d) -1\/3  (e) -84\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 455614838?\nAnswer: 2, 7, 101, 191, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 42124 (base 5) in base 4?\nAnswer: 223211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -17806 - -267374\/15. Let h be ((-133)\/690)\/(-19)*-1868. Let g = v + h. Is -1\/3 != g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 76596957?\nAnswer: 3, 547, 15559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21 - 2*f**2 - 21 = 0. Calculate f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 352085 rounded to the nearest one hundred thousand?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -93.6 + 94. What is the biggest value in -3, t, 0.3, 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 117\/91 + 4\/(-14) + 3286 is divided by 24.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -19588, -156675, -528776, -1253401, -2448060, -4230263, -6717520, -10027341?\nAnswer: -14277236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 25*z**2 - 15*z**2 - 13*z**2.\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 26 and 12.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -271247*w**2*y**2 + w**2*y + 9*w*y**2 + 74783*y**2 wrt w.\nAnswer: -542494*y**2 + 2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1911 + -1879. Suppose v - 5*v + 192 = 0. Calculate the highest common divisor of i and v.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -75, -91, -123, -177, -259, -375?\nAnswer: -531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Express (5*u**3 + 8*u - 13*u - 3*u**3 + (-3*u + 3*u - 2*u)*(-4*u**2 + 2*u**2 + 4*u**2))*(7 - 5 + 4) in the form b*u + f*u**3 + x*u**2 + s and give f.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -2 + 1010100111220?\nAnswer: 1010100111211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 l, 1 c, and 1 k when three letters picked without replacement from clcckcgbl.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (4 + -8 - -1) + 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = 4 + 1 - i**2 + 0 - 6 - 354*i**3 - 2*i. What is the units digit of g(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*x**3 - 10*x**3 - 16*x**3 + 0*x**3.\nAnswer: -26*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00729671 rounded to 5 dps?\nAnswer: 0.0073","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Factor -21*l**3 + 393*l**2 + 114*l.\nAnswer: -3*l*(l - 19)*(7*l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 72 and 180?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -100 = 106*a - 96*a for a.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 39306744*j - 2*j**2 - 737 + j**3 - 39306744*j to the form z*j**2 + g + a*j + v*j**3 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2783, -3644, -5071, -7058, -9599, -12688, -16319?\nAnswer: -20486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 6698303 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 58672469 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, -60, -3, -39 in descending order.\nAnswer: -2, -3, -39, -60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 3347544 a multiple of 606?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2 in -44\/35, -0.6, -1, 3\/5, 0, -2?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-7486)\/(-1576))\/((-1)\/1)?\nAnswer: -19\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 2452 + -2457. Sort y, 123, -1 in increasing order.\nAnswer: y, -1, 123","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (57\/(1710\/(-60)))\/(2\/(-1036))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**(-38)*a*(a*a**(-5)*a)\/a)\/(a**(-29)\/(a\/(a*a**(-14\/9)\/a)*a)) assuming a is positive.\nAnswer: a**(-76\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = g**3 + 28*g**2 + 6*g + 41. Let j be s(-26). Let q = -704 + j. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = -2*x - 26. Let p be (-50)\/4*(74\/(-20) + 702\/156). Determine n(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 52\/14*-3*21\/(-18). Suppose h*w + 8684 = 39*w. List the prime factors of w.\nAnswer: 2, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 41*b - 24024 = -84*b - 603*b for b.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = -5*y + 15. Let v be u(8). Let n be v\/(-60) - (-2)\/(-8). Which is the closest to -11?  (a) -1  (b) n  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5143 + 7352 = 227*q + 237 for q.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 65 + 6?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -v = 3*c + 4*v - 6, -9 = 4*c + v for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l = -3 + 9. Suppose 0 = -5*w - 2*w - 2*w. Suppose -4*d = d + 25. Put d, w, l in descending order.\nAnswer: w, l, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a**2)**(-45)*((a**(-2\/3)*a)\/a)\/a**(2\/11))**(-2\/11) assuming a is positive.\nAnswer: a**(5996\/363)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.5 - 0.47. Let s = -0.33 + n. Sort -1, s, -0.2 in descending order.\nAnswer: -0.2, s, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 1a - 2a8?\nAnswer: -28a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 151, 305, 459, 613?\nAnswer: 767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -56*g = -51*g + 250. Let f = g + 54. Calculate the highest common factor of 44 and f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, -13, 8016, 5, -1, -3 in decreasing order.\nAnswer: 8016, 5, 0, -1, -3, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x = -5*q + 1679, 0 = -2*q + 4*x + 90 + 586. Suppose -113*s = -110*s - q. List the prime factors of s.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = 4880*n**4 - 5*n**3 - 5*n**2 - 569. Let w(o) = -7318*o**4 + 8*o**3 + 8*o**2 + 853. Let i(f) = -8*a(f) - 5*w(f). What is the derivative of i(z) wrt z?\nAnswer: -9800*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_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: Let x = 1 - 2. Let v = x - -0.8. What is the second smallest value in 5, 4, v?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -487 + 22*y**2 + 487 - y**2 + 7*y**2.\nAnswer: 28*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Divide 3389 by 2.\nAnswer: 3389\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of (-2 - -2) + (-755)\/(-60) and -13\/2.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 20750 and 4921900?\nAnswer: 24609500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 187260 and 156?\nAnswer: 2434380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = 2*k**3 + 6*k**2 - 2*k - 2. Suppose 5*g + s = -6 - 10, 3*g = 3*s - 6. What is the lowest common multiple of y(g) and 140?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 8175, 31440, 70215, 124500?\nAnswer: 194295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r**(2\/5)*r)**(5\/9)\/((r*r**(-4\/9))\/r**(-2\/5)))\/((((r*r\/((r\/(r*r*(r**(-4\/11)*r)\/r))\/r)*r)\/r)\/r**4)\/(r\/r**(2\/3))**(-43)) assuming r is positive.\nAnswer: r**(-7003\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 168 divided by -46\nAnswer: -84\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -1  (b) -2\/4181  (c) 10  (d) -12  (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = -y**3 - 16*y**2 - 30*y - 26. Let h be s(-14). Suppose -g - 839 = -4*v - 4*g, -3*g + 421 = h*v. What are the prime factors of v?\nAnswer: 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = -n**2 - 26*n - 34. Let q be z(-24). Let a(r) = -16*r + q*r - 19*r. Let h(i) = 3*i. Determine h(a(c)).\nAnswer: -63*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -90531843, -181063678, -271595515, -362127354, -452659195?\n\"Answer: -x**2 - 90531832*x - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -293, -283, -259, -221, -169, -103, -23?\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*l + 15 = 3*y - 9*l, 3*y = 4*l. Suppose 0 = 3*o - k + 11, 0*o - 4*o = 3*k + 32. Let n = o - -8. Which is greater: n or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 135 + -195. What is the common denominator of ((-116)\/b)\/((-2)\/12) and -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2825?\nAnswer: 5, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 11.66 + 788.34. Let o = c - 803.81. Round o to 1 decimal place.\nAnswer: -3.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3185657 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 66*r + 4*r - 57 - 70*r - 261*r**4 wrt r.\nAnswer: -1044*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 7 + -3. Suppose a = n + 1. Suppose -n*d = 6, 0*w + 4*d - 28 = -4*w. List the prime factors of w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 18*l = 317 - 515 for l.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -33183, -66329, -99475, -132621, -165767?\n\"Answer: -33146*s - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 15, 70, 5, -3, -2, -6, 4 in increasing order.\nAnswer: -6, -3, -2, 4, 5, 15, 70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*w = -3*y + 16, -4*y - 3 = -2*w - 11. Let d be (2\/(-9))\/((-15)\/27*3). What is the closest to 1\/2 in w, d, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 300*z**2 - 299*z**2 - 364*z**2.\nAnswer: -363*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 627941?\nAnswer: 113, 5557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -96 (base 13) in base 16?\nAnswer: -7b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (47073\/(-26))\/71*5\/((-45)\/6).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -15 + 2 + (1 - -81 - (-11 - -22))?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*m + 0*m = 10. Suppose m*h - 612 = 758. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 249082*1.\nAnswer: 249082","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 2\/13, -270.296, -0.4, 2.\nAnswer: -270.296, -2, -0.4, 2\/13, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = -i**2 + i - 1. Let r(j) = -8*j**2 - 7*j + 3. Let w(m) = -3*h(m) - r(m). What is the second derivative of w(u) wrt u?\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4796766 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 10149 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 43\/57 - 8\/19. What is the closest to l in -1\/4, 0, -0.09, -3\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 591553 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p - 113399 = -5*x, -2*x + 6*x - 2*p = 90724. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) be the second derivative of -v**3\/6 + 4*v**2 - 12*v. Let r be d(4). Solve -a = -3*k + 3 + 1, 4*a = -r*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.0601 + 264.9399. What is the fourth smallest value in 5, -0.3, t, 2\/9?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 3*b**2 + 35 - 22 - 6*b**2 wrt b.\nAnswer: -6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-360)\/432*(-6)\/(-50)\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*n**2 + 8896*n.\nAnswer: -4*n*(n - 2224)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Does 3122 divide 107635962?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 29411 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p be -2*13\/22 - (-14)\/77. Is p at least as big as -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 6828155 to the nearest integer?\nAnswer: 2613","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 4454358814 to the power of 1\/3, to the nearest integer?\nAnswer: 1645","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*y - y, -4*h + y = 0. Suppose h = -5*x + 3*s - 15, -2*s = -x - 2 - 8. Suppose x*g = -4*g. What is the closest to g in 3, -4, -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.07, 584, 118 in decreasing order.\nAnswer: 584, 118, 0.07","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 245535850 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 1829201015 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = -39*f**2. Let c(j) be the third derivative of 3*j**5\/10 + 3613*j**2. What is c(l(g))?\nAnswer: 27378*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = -331*h + 12. Let r(w) = -138*w + 5. Let s(v) = -5*l(v) + 12*r(v). Let k(c) = -28*c**2 + 6*c - 2. Determine k(i) + 6*s(i).\nAnswer: -28*i**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 620 minutes before 5:31 PM?\nAnswer: 7:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 29159 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) be the first derivative of o**2 - 3*o - 13. What is the remainder when 13 is divided by g(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 466376?\nAnswer: 2, 97, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -78 times 162.462?\nAnswer: -12672.036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-37)\/(-1665))\/(10\/270).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -4, 14, -5 in increasing order.\nAnswer: -5, -4, 4, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -37 - -36. Let x be (0 + b\/1)*-1. Which is greater: x or 3\/14?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*a = 2*w - 22, -2*a - 4*w + 5*w = -9. Let n(i) = -4*i - 2*i + a*i + 0*i. Let o(c) = 166*c**2. Determine o(n(r)).\nAnswer: 166*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4*k**4 + 2*k**4 + 4*k**4 - k**4 + 7*k**4 + 3*k**4 + (-3*k + 3*k - 2*k)*(4*k**3 + k**3 - 4*k**3).\nAnswer: 9*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*(-3 + sqrt(54)\/sqrt(2) + 4 + 0 + 2 + -4))**2.\nAnswer: -216*sqrt(3) + 1008","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = -2*s + 9. Let k be o(7). Let f(b) be the third derivative of -5\/24*b**4 + 0 - 1\/10*b**5 + 0*b - b**2 - 1\/120*b**6 - 5\/6*b**3. Determine f(k).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 13.9, -56, 4, -0.1, -5, 2\/13.\nAnswer: -56, -5, -0.1, 2\/13, 4, 13.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 2*k**4*o + 18*k*o*s**3 - 7*k*s**3 - o*s**3 - o - 5*s**2 wrt k?\nAnswer: 8*k**3*o + 18*o*s**3 - 7*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 1*-2*4\/64*4. What is the second smallest value in 0.5, -1\/5, i, 0.1?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = -282*k**2 - 44. Let s(r) = -26*r**2. Give q(s(i)).\nAnswer: -190632*i**4 - 44","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1089, -874, -275, 900, 2843, 5746, 9801?\nAnswer: 15200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = b**3 - 2*b - 1. Let m be w(2). Suppose -5*k + 9 + 1 = -m*g, 2*k + 2*g = 20. Suppose -2*y = -31 + 13. Calculate the remainder when y is divided by k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5755 is divided by 5738?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1211454 = -2*k - 5*j, 568245 = k - 4*j - 37430. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -23391, -24390, -27147, -32556, -41511, -54906, -73635?\nAnswer: -98592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -825*m - 2*m**2 - 1560*m**4 + 143*m**3 + 19 - 18 - 143*m**3 wrt m.\nAnswer: -18720*m**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 415 + 2*s**2 - s**4 - 9*s**3 - 413 - 2*s + 52*s**3 as d*s**4 + t*s**2 + u + g*s + n*s**3 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -9586285600 rounded to the nearest 1000000?\nAnswer: -9586000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 12 + -7. Let y be 2\/1*(-4)\/36. Which is the biggest value?  (a) v  (b) y  (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 110 + -106. Let p be (-1)\/4 - (-9)\/4. Let y = 6 - p. Solve -16 = -y*u - d for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = h**3 - 5*h**2 - 18*h + 30. Give i(-4).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2135*l - 2130*l = -40, -2*l = 3*d - 190565. What is the thousands digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 5, 1\/3, 3\/5, 5\/13, 15347?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 2 - 1 - 4*f + 5)*(-6 - 4 - 1).\nAnswer: 44*f - 33","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((0\/(-11))\/2)\/(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is (((-40)\/(-275))\/2)\/(116\/(-10) + 12)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 601.6718 hours in nanoseconds?\nAnswer: 2166018480000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00001880843 rounded to 5 dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -431 - 31?\nAnswer: -502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -4275 or -4234?\nAnswer: -4275","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {a: 5, p: 2}. What is prob of picking 2 a?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = j**2 + j - 1. Let t(b) = 26*b**3 + 2*b**2 - 4*b - 8. Let n(f) = -2*i(f) + t(f). Let r(h) = -5*h**3 + h + 1. Calculate 2*n(q) + 11*r(q).\nAnswer: -3*q**3 - q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -7 - -4. Is 179\/(-3)*(0 + h) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -17, 172, -24 in increasing order.\nAnswer: -24, -17, 172","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i*i**5\/i*i)\/(i\/(i**(-2\/7)*i))*i\/i**(-1)*i*i**7)**(2\/23) assuming i is positive.\nAnswer: i**(220\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*k**2\/15 - 2*k\/5 + 12\/5 = 0.\nAnswer: -6, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c + 4 = 0, 2*x + 60 = -c + 2. Let v = x + 30. Suppose 5*w - 14 = 3*w. What is the remainder when w is divided by v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) be the first derivative of -2*d**2 + 8\/3*d**3 + 1 - 5*d + 13\/4*d**4. Let j be r(5). What is j rounded to the nearest one thousand?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) be the first derivative of -1\/3*x**3 - 3 + 0*x**2 - 4*x - 1\/12*x**4. Let n(a) be the first derivative of d(a). Let n(t) = 0. What is t?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when (11*10\/330)\/(1\/543) is divided by 11?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 300035 is divided by 239.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -0.069  (b) 0.2  (c) -0.065\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 2324320 to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-1)\/(-1)*6\/((-18)\/(-39)). Suppose 18*b - 45 = i*b. Solve 3*k + 3*g + b = 0, 4*g - 6 = 2*k - 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 115.1046 seconds in hours?\nAnswer: 0.0319735","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 826618217?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 5, -0.5, -1\/3, -38710, -2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) be the third derivative of 334*m**6\/5 - 9271*m**5\/60 + 4*m**2 - 188*m - 2. What is the third derivative of u(k) wrt k?\nAnswer: 48096","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -6.952386492 to 4 dps.\nAnswer: -6.9524","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 8722.627 millilitres?\nAnswer: 8.722627","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = -3*l - 1. Let z(r) = 7*r + 3. Suppose v + 0*v = 2*o + 7, 2*o = -2*v + 2. Suppose 0 = -v*k + k - 4. Let g be 8\/(32\/(-76)) - -14. Give g*b(n) + k*z(n).\nAnswer: n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 6\/2995 - -203606\/26955. Find the common denominator of 97\/4 and n.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 31 - 92\/3. Let y = 3 + -2. Let o = -1.9 + 4.9. Which is the nearest to y?  (a) o  (b) -0.2  (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) be the second derivative of -u**4\/6 - 1671*u. Let v(a) = -105*a**2 + a. What is v(m(j))?\nAnswer: -420*j**4 - 2*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand -129*b + 129*b + b**3 + (-7*b + 2*b + 3*b)*(-6*b**2 + 3*b**2 + 4*b**2).\nAnswer: -b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Round -17561.24 to the nearest ten.\nAnswer: -17560","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 146 and -3?\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = 4*b**2 - 2. Let t(o) = -9*o**2 + 5. Let g(q) = -q**2 - 16*q - 17. Let a be g(-15). Determine a*t(d) - 5*u(d).\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7103 is divided by 7000.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -211011211020 (base 3) to base 9\nAnswer: -734736","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = 5*i + 3. Let v be s(-1). List the prime factors of (-38)\/(-95) - v\/10*653.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2\/11*n**2 + 140\/11*n - 138\/11.\nAnswer: -2*(n - 69)*(n - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 16 divided by 4\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = -l**2 - l + 1. Let i(w) = -3*w**2 - w + 18. Let g(z) = i(z) - 2*v(z). Is 6 a factor of g(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*c**2 - 32118*c - 513376 = 0.\nAnswer: -16043, -16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 23.47238 grams in micrograms?\nAnswer: 23472380","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = -b**3 + b + 12. Let t(j) = j + 8. Suppose 0 = 4*p - 16, 3*w - 2*w = 2*p - 16. Let l be t(w). Calculate z(l).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2 in 15, -3\/5, 0.11, -1\/6, 0.2?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1171?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 181075163 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 856.0702nm in centimeters?\nAnswer: 0.00008560702","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 14 + (7 + -22 - -7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 5*i**3 + 62*i - 62*i + (6*i**2 - i**2 - i**2)*(2 - i - 2) + i**3 + 0 + 1 + i**3 to the form x*i + l*i**3 + a + v*i**2 and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -23 = -4*w - 3*v, -8*w = -3*w - v - 43. Suppose w*r - 4*r = 140. What is the remainder when 242 is divided by r?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 421 - 357. What is the greatest common divisor of p and 88?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) be the first derivative of -5*n**3\/3 + 45*n**2\/2 + 41*n + 15. Let s(t) = t**2 - 11*t - 10. Let i(m) = -2*d(m) - 9*s(m). Solve i(q) = 0.\nAnswer: -8, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = n**3 + 3*n**2 + n + 5. Let o(s) = 4*s - 101. Let l be o(25). Suppose -2*c + 5*r = -0*r + 1, 5*c - r = -14. Let x = l + c. Give t(x).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j - 3 = -r, 5*j - 8 = -2*r + 5*r. Suppose -40 = -b - 5*o, 5*o - 1 = 2*b - 6. Let g be (-10)\/b*3\/1. Which is bigger: r or g?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-129)\/(-86)*11\/((-495)\/(-120)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 38 - 27. Let z = h - 10. Let t = 1\/7 + 3\/28. Which is the closest to -4?  (a) -5  (b) z  (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -11*u + 783 + 350. Suppose -92*g = -u*g + 3003. Calculate the greatest common divisor of g and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((2 + 6*(sqrt(80) - (-1 + sqrt(80))) + sqrt(80) + -1 + sqrt(80) + (sqrt(80)*1 - sqrt(80)) + 3)*5 + -3)*-2)**2.\nAnswer: 15040*sqrt(5) + 40836","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 103141422 - 4?\nAnswer: 103141414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 104 and 2176.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3326.\nAnswer: 2, 1663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is (-61364)\/(-368) - 86 - 80?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y\/((y\/(y\/y**(-11)))\/y*y)*y\/y**(-9\/4))\/((y**6\/y*y*y)\/y)**(3\/2) assuming y is positive.\nAnswer: y**(25\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 805, 964, 1125, 1288, 1453, 1620, 1789?\n\"Answer: b**2 + 156*b + 648","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -10 in -3\/19, -2\/25, 4\/9, 5, 1\/2, 11?\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 1698, 3396, 5094, 6792?\n\"Answer: 1698*g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = -h**2 - 8*h + 4. Let v be q(-5). Let r be v\/(-57) + 17\/(-3). Sort -2, r, 2\/11 in decreasing order.\nAnswer: 2\/11, -2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = w**2 - 2*w + 1. Let k be m(4). List the prime factors of ((-90)\/(-4))\/k*40.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -101 - 2702 = -29*q + 1315. Calculate the remainder when q is divided by 33.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*n = -102*d + 105*d + 8, -n = -d - 2 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/4, -7, 4, -2, 3.1, -10.\nAnswer: -10, -7, -2, -1\/4, 3.1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*f + 42 + 3 = 0. What is the remainder when (-291)\/f - (-2)\/3 is divided by ((-17)\/(-1))\/(1 + 0)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -9187 and 1?\nAnswer: 9188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -212201 - 3?\nAnswer: -212210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -24.51 in 1, -2, -0.02, 0.5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = -l - 5. What is z(-3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 32, 28, 24, 20, 16, 12?\n\"Answer: -4*x + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*t + 0*a - 3*a + 4 = 0, 4*t - 3*a - 14 = 0. Solve 0 = -3*j + t + 4 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 38, -1, 4, -2\/3447?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z\/(z*(z\/(z**1*z*z))\/z))\/z)\/(z**1\/z)*(z**(-1\/4))**17 assuming z is positive.\nAnswer: z**(-9\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*m**4 - 260*m**3 + 2556*m**2 - 7884*m + 7992.\nAnswer: -4*(m - 3)**3*(m + 74)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 518 - 1553\/3. Factor 0 - 1\/3*x**2 + 0*x - 1\/3*x**5 + r*x**4 + 1\/3*x**3.\nAnswer: -x**2*(x - 1)**2*(x + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 5047263 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = -j**2 + 16*j - 53. What is d(8)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 20 + -4?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w + 10 = -4*w. Which is the second smallest value?  (a) w  (b) 1\/2  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*(3 + sqrt(18)\/sqrt(6))**2 + 3*((sqrt(147) + 1*sqrt(147))**2 + sqrt(147)).\nAnswer: 3*sqrt(3) + 1728","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -9 - -15. Suppose g*x = 4*x + 204. Suppose -p = p - x. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 31457548 and 296.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2613*a = -2607*a - 18564. What is the hundreds digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = -n**2 - 4*n + 7. Let c(f) = 2*f**2 - 14 - 12 + 9*f + 11. Let v(k) = -2*c(k) - 5*o(k). Is 15 a factor of v(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 32637999 divided by 6?\nAnswer: 10879333\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) be the third derivative of -w**6\/120 + 11*w**5\/60 - 5*w**2. Let z be j(11). Suppose -4*t + 0*r = -3*r - 365, -4*r + 20 = z. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 2 - 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q\/(q**(-2)\/q)*q*q*q**(1\/29)\/q*q)\/(q\/(q*((q**23*q)\/q)\/q))**(3\/2))**(12\/13) assuming q is positive.\nAnswer: q**(13584\/377)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 31608 is divided by 3501?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 35595492?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Does 170 divide 2746?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 32.71 + -33.71. Sort 1\/16, s, 60 in decreasing order.\nAnswer: 60, 1\/16, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 490075 (base 11) in base 8?\nAnswer: 2753567","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.036 rounded to 3 decimal places?\nAnswer: 0.036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the billions digit of 1210303732?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 17.1 - 16. Suppose -c + 68 = 62. Let w be (-9*c\/(-24))\/(3*2). Put 2, w, n in decreasing order.\nAnswer: 2, n, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -635 = 87*h - 1070 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 133171 is divided by 248.\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -11?  (a) 6\/13  (b) -3  (c) -0.283\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (3 - 3) + 364 - 3. Let b = o + -240. What is the highest common factor of b and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -150242013 (base 7) to base 16.\nAnswer: -97771e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 89 = -11*m + 23 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (7\/35)\/(2\/(-45)). Which is smaller: -5 or r?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5451 (base 9) in base 11?\nAnswer: 3020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Add together -163543.5 and -949051.\nAnswer: -1112594.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1 or -6949\/244383?\nAnswer: -6949\/244383","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -5 + 78c209?\nAnswer: 78c204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -184, -185, -186, -187, -188?\n\"Answer: -c - 183","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 9*t**2*y + 12*t**2 - 6*t*y - 3*t - y wrt t?\nAnswer: 18*y + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2\/3*s - 5\/6*s**4 + 7\/6*s**3 + 0 + 4\/3*s**2.\nAnswer: -s*(s - 2)*(s + 1)*(5*s - 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -83319\/7 - -11903. What is the smallest value in l, 0.065, 1, -1\/4, 0.2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1527066539 - 0.\nAnswer: -1527066539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 27498823393 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h + 5*p - 29 = 0, -28*h + p = -23*h - 5. Solve -h*c + 20 = -6*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from uflllfllu. What is prob of picking 1 u, 1 l, and 1 f?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Round 1920.5099 to the nearest integer.\nAnswer: 1921","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 31238581 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = h**3 + 26*h**2 + h - 19. Let k be l(-21). Suppose 329 - k = -6*m. What is the tens digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -43 + (64 - 38 - 12).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -451134*p**4 + 2*p + 85733?\nAnswer: -5413608*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 6*2\/3 + 70\/(-35). Suppose 0 = v + 13 - 0. Sort d, 1, v in decreasing order.\nAnswer: d, 1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1856891 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:43 PM and 12:20 AM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2055?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = 295*l**3 + 2*l**2 - 2*l. Let z(j) = 42483*j**3 + 289*j**2 - 289*j. Determine 289*f(a) - 2*z(a).\nAnswer: 289*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2920404 = -4*o + 8*o. Let m be (o - 1) + -6 + 7. Let w = m + -290101. What is w rounded to the nearest 100000?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 64 - 64. Solve 4*c + 34 - 26 = j for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = 5*o + 1. Suppose -10*x + 11 = -9. Let f(q) = 4. Let u(z) = -z + 11. Let k(v) = 17*f(v) - 6*u(v). Suppose -4*d + d = 9. Calculate d*j(a) + x*k(a).\nAnswer: -3*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -5181 + 5290. Which is bigger: 115 or u?\nAnswer: 115","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-12)\/810*(-1 + -1 - -7). Which is the third smallest value?  (a) y  (b) -1  (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*r**4 - 4*r**4 - r**4)*(-4 + 1 - 16)*(2 + 2*r - 2 + 14 - 14 - 15*r + (5*r - 5*r - 2*r)*(-2 + 7 - 3)).\nAnswer: -646*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -4 - -1d4c?\nAnswer: 1d48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5330.226 weeks to hours.\nAnswer: 895477.968","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 0.3, 4, -35, -0.3?\nAnswer: -35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v = 4*q - 24, -4*v + 24 = 4*q - 2*v. Let b = -1 + q. Suppose -b*n - 2*m + 122 = 2*m, 68 = 3*n + 5*m. Is 12 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = -1757*f**2. Let w(z) be the second derivative of -z**3\/6 - 2*z - 4. Calculate b(w(s)).\nAnswer: -1757*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ul when two letters picked without replacement from {k: 4, z: 1, l: 3, u: 4, y: 5, a: 3}.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 462?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x - 13 = -5*v, -17 + 6 = -2*x - 3*v. Solve 0 = -x*y - 1 - 3 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2486915 to the power of 1\/2, to the nearest integer?\nAnswer: 1577","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -9.452552 + 9.46. What is n rounded to 4 decimal places?\nAnswer: 0.0074","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of (-15 - -14)*11 + (-10726)\/(-960) and -85\/216?\nAnswer: 4320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is one fifth of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = -2*z - 9 + 3*z + 29*z**3 + 9. Let k be c(1). Suppose -5*g + k = -3*g. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 470 is divided by 154?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = -x**3 - 11*x**2 + 2*x + 258. Let j be b(-7). Let s be 3 - (0 + -1 + 1). Suppose 99 = s*c - j. What is the highest common divisor of 343 and c?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-24)\/3 + 2 + (-504)\/(-81). Let f(r) be the second derivative of -1\/54*r**4 - 1\/9*r**3 + 0 - q*r**2 + 2*r. Factor f(o).\nAnswer: -2*(o + 1)*(o + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -3?  (a) -0.1  (b) -3  (c) 3  (d) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -334, -28.\nAnswer: -334, -28, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = -1. Let x(g) = -g**2 + 1. Let b be (4 - 7) + 3 + -1. Let z(n) = b*y(n) - x(n). Let o(a) = 15*a. Determine o(z(d)).\nAnswer: 15*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = -r - 6. Let d be v(-5). Let g(y) = 55*y - 1152. Let k be g(21). Which is the nearest to -0.3?  (a) k  (b) -3\/7  (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 417 divide 1635366831?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 73475, 151172, 228879, 306602, 384347, 462120?\n\"Answer: g**3 - g**2 + 77693*g - 4218","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 1110 + -300?\nAnswer: 310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = 10*o**3 + o**2 + 4*o - 3. Let v be w(5). Let t be ((-2)\/4)\/((-19)\/v). Calculate the highest common factor of t and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 283160?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 950 - 953. Let z(r) = -5*r**2 - 4*r - 3. Let f(k) = k**2 + k - 1. What is a*f(s) - z(s)?\nAnswer: 2*s**2 + s + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -38*v = -168 - 22. Let c(d) be the first derivative of 0*d - 4*d**2 + 4 + 2*d**4 + 4\/3*d**3 - 4\/5*d**v. Factor c(y).\nAnswer: -4*y*(y - 2)*(y - 1)*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 706 - 311 - d - 395.\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 10 and 5020.\nAnswer: 5020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Divide 9119047 by 1.\nAnswer: 9119047","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5813576 divided by 4.\nAnswer: -1453394","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1736 is divided by 13?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -431*h**3*z**3 - 10*h**3*z**2 + 36116*h**3*z + 14*h*z wrt z?\nAnswer: -2586*h**3*z - 20*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 693453\/215 bigger than -8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 304\/760*(-1)\/(-4)*-35*4.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 6305, 11498, 16685, 21866, 27041, 32210?\n\"Answer: -3*u**2 + 5202*u + 1106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*i = 3*f - 2*f + 38, 3*f - 5 = -2*i. Solve 0 = 3*n - i*n - 8 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = 28585*x - 218. Let n be q(4). What is n rounded to the nearest 10000?\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 1\/2*(10 - 0). What is the units digit of 15\/9*(q - 2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 1159\/568999 + 23499930435\/2380691816. Let z = a + 1\/523. Find the common denominator of z and 89\/12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 15288008?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 5\/(1900\/16)*1130\/904*4.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"}
{"text":"Question: Does 22 divide 894644?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.0101 and -1742.5?\nAnswer: -17.59925","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1250617?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert 113 (base 5) to base 10.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 7.978947km in nanometers?\nAnswer: 7978947000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 10010010111 + -100?\nAnswer: 10010010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find q, given that -28*q**2 - 3344*q - 4720 = 0.\nAnswer: -118, -10\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 0  (b) -0.03  (c) -2  (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Factor f**3\/10 - 209*f**2\/5 + 1312*f - 12288\/5.\nAnswer: (f - 384)*(f - 32)*(f - 2)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 40 - 9. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1316 = 17*a + 449. Let j be (-8)\/68 - (-2352)\/a. Sort 2, j, 0, 5 in decreasing order.\nAnswer: j, 5, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00055783721 to three dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 582 minutes before 6:18 AM?\nAnswer: 8:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 1012243 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert -102202 (base 3) to base 14.\nAnswer: -189","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 15234.\nAnswer: 2, 3, 2539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 3 + 2)*(-2 + 4 + 0)*(-3*v + 3*v - 2*v).\nAnswer: -20*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*c + a - 99, 2*a = 3*a + 5. Let l = -21 - c. Suppose 3*y = 2*z - 69, 3*z - 21 = -l*y + 73. Calculate the remainder when z is divided by 11.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 16.6124 + -0.0124. Let s = 21.6 - j. Which is the second smallest value?  (a) -0.3  (b) s  (c) 2.4  (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 607 a factor of 16759877?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 3557325 to the nearest integer?\nAnswer: 1886","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -66*n = -67*n - 12 for n.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 539 minutes after 7:14 PM?\nAnswer: 4:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from {p: 4}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = -9*i**2. Let d(f) = f. What is g(d(m))?\nAnswer: -9*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(14)\/(1*sqrt(567))*1)**2.\nAnswer: 2\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1237673958.\nAnswer: 2, 3, 2393, 86201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Product of 50 and 370.6.\nAnswer: 18530","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -9*m*q*w**3 + 2*m*q*w**2 + 58*m*q - 3*q*w**3 + w wrt w.\nAnswer: -54*m*q - 18*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -58*v**3 - 76*v**3 + 176*v**3.\nAnswer: 42*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is (-1485)\/(-10) - (-3)\/6 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 139\/6984 and 107\/120.\nAnswer: 34920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 smaller than -1579\/39547?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 4.72 times -0.1468\nAnswer: -0.692896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 493\/2 - 2461\/10. Let n = -0.4 + 1.4. Put 3, n, q, -5 in descending order.\nAnswer: 3, n, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) be the second derivative of k**6\/30 - 7*k**5\/10 - k**4\/6 - 3*k**3\/2 - 74*k. Find the third derivative of w(d) wrt d.\nAnswer: 24*d - 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (0 - -1 - (9 - -1))*814\/(-2442). Let g(o) be the first derivative of -3*o**2 - 21\/22*o**4 - 7 - 32\/11*o**n - 12\/11*o. Factor g(a).\nAnswer: -6*(a + 1)**2*(7*a + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 246 minutes after 12:17 AM?\nAnswer: 4:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 513151?\nAnswer: 619, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round 6376.67716 to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 45 = -9*l + 198. Suppose -z + l = 14. Solve 5*t + 4*r = -1, 4 + 3 = -z*t - 4*r for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -11, -1, 19, -5, 3 in increasing order.\nAnswer: -11, -5, -1, 3, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = 2*f**3 - 12*f**2 + 8*f + 13. Let y be v(5). Find the second derivative of s**2 - y*s**3 - s - 19*s - 2*s**2 wrt s.\nAnswer: -18*s - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = 2 + 3 - 7 - i. Let m be w(-2). Let c = 13 - 8. Solve m = c*t - 13 + 3 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, 1, -3, -171, 3 in descending order.\nAnswer: 3, 1, -3, -5, -171","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1456, 2000, 2546, 3094, 3644, 4196, 4750?\nAnswer: 5306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 74902?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*f + 40 + 14. Let u = -7 - f. Suppose -j + 2*v - 19 = -4*j, v - 20 = -5*j. Calculate the remainder when u is divided by j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -b**2*r**3*t**2 - 323*b**2*t**2 + b*r**2*t**2 - 36*b*r**2 - 53*r**3*t**2 - 3*r**3 wrt b?\nAnswer: -2*r**3*t**2 - 646*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Work out 4 * -33.\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {v: 7}. What is prob of sequence vv?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) be the second derivative of 7*b**6\/30 - b**3\/2 + 51*b**2\/2 + 7*b - 1. What is the derivative of j(v) wrt v?\nAnswer: 28*v**3 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -10908*c*n**2 - 2*c*n + 108*n - 1 wrt n.\nAnswer: -21816*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {i: 1, e: 2, u: 2, b: 4}. Give prob of sequence euei.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is (-48)\/40 - (-1090083)\/15 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (1 - 0 - 2) + (0 - -3). What is the units digit of g + (-11)\/6 + 1282\/12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) be the first derivative of -q**4\/4 - q**3 - 2*q**2 - 2*q - 2. Let z be x(-2). Suppose 2*j - 14 = -3*b, z*b + 0*b = 2*j + 6. Solve -b = -k - 2 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 4  (b) -1\/5  (c) 0.4  (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -23, 2 in decreasing order.\nAnswer: 2, -5, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*l**3 + 15516*l**2 - 31044*l + 15524 = 0 for l.\nAnswer: -3881, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -1.55 + -0.45. What is the smallest value in -2\/3, -1\/4, b, 0.4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange f - f - f**2 + (f - 2*f - f)*(-f - f - f) + (31*f + 334*f - 51*f)*(-4*f + 2*f + 0*f) to r*f + q + l*f**2 and give l.\nAnswer: -623","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"}
{"text":"Question: Is 36029 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 23115653 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let -m**2 - 355*m + 356 = 0. Calculate m.\nAnswer: -356, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 43232803?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 179880 divided by 5.\nAnswer: 35976","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((-66)\/24)\/((-1)\/32). Suppose 0 = -3*g - h + 322. Let l = 110 - g. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 33*d - 372 = 2*d. Solve d + 0 = 6*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 3600, 14388, 32338, 57426, 89628, 128920?\nAnswer: 175278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 103 is divided by 18.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from cayyuauykyfcy. Give prob of picking 2 c.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 2  (b) 20225\/3  (c) 3\/2  (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(66) - 3*2*sqrt(66))*-5)\/((sqrt(30) - (-1*sqrt(270))\/sqrt(9) - sqrt(30))\/sqrt(5)).\nAnswer: 25*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -2  (b) -9  (c) -5  (d) 0.0059  (e) 170\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Express -586*w + 2*w**3 + 1198*w - 1 - 524*w as u*w**2 + a + t*w**3 + d*w and give d.\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -68*i + 408 + 133 = -3 for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -25 + -46 + (-40 - -106)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15 = -87*d + 90*d. Find the third derivative of -5 - 15*p**2 + 4*p**2 + 2*p**2 + p**4 + 4 + 5*p**d - 2*p**5 wrt p.\nAnswer: 180*p**2 + 24*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 362*f**2*h + 291*f**2 with respect to h.\nAnswer: 362*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6123*f**2 + 323 - 323 - 1590*f**2.\nAnswer: 4533*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (3763 - 3732) + (1\/2)\/(2\/(-28)).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate p**3 - 3*p**2 - 26258*p + 338620 with respect to p.\nAnswer: 3*p**2 - 6*p - 26258","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 take away 627?\nAnswer: -631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (42\/4)\/(27\/(-36)). Let i = 16 + q. Suppose i*b + 17 - 43 = 0. Calculate the remainder when 23 is divided by b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 4.2?  (a) -2\/11  (b) -1\/4  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 24415 is divided by 5985?\nAnswer: 475","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 265607665?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10907902*m - 10908038*m + 6936 = 0 for m.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 29\/15 and 1\/4560.\nAnswer: 4560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 43282486.6 rounded to the nearest one hundred thousand?\nAnswer: 43300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2*b**3*q*u - 9*b**3*u**2 - 2*b**2*q*u**2 - 5*b**2*q*u - 3*b**2*u - 2 wrt u.\nAnswer: -18*b**3 - 4*b**2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 1202 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1437*u = 1427*u + 4520. Are 454 and u non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -z + 3*p + 90, -34 = -2*z - 2*p + 106. Suppose -2*w + 79 = -z. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 628, 1046, 1446, 1840, 2240, 2658, 3106?\n\"Answer: 2*n**3 - 21*n**2 + 467*n + 180","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -179 + 178. Put 2, -0.1, z in descending order.\nAnswer: 2, -0.1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-22)\/33*(1 + 2). Let t be -2 - (r\/(-2) - 2). Find the common denominator of 1*(t - 132\/(-10)) and -9\/5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -3117, -3087, -3057, -3027, -2997, -2967?\nAnswer: -2937","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 47272 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Put together -1411 and -8822.\nAnswer: -10233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {c: 6, y: 3, e: 3, o: 2, j: 3}. What is prob of picking 1 y and 2 c?\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -219 - -224. Suppose -31*v + 728 = -27*v. What is the remainder when v is divided by j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 28891 is divided by 77.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1547*c - 409706 = 14682*c + 4992*c - 2598*c for c.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -119 - -71. Let d = -52 - t. Let m(s) = -74*s**3 + 2*s**2 - 2*s + 5. Is m(d) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*h + 2*g + 2*g + 868, -1093 = -5*h - 3*g. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = -r + 1. Suppose s - u + 2 = 0, 0 = -4*s + s - 3*u. Let q(c) = 7*c - 24. Let x(a) = s*q(a) - 6*i(a). List the prime factors of x(-16).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -103 + 14. Let q = m - -109. What is the remainder when 98 is divided by q?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from bborbeobbrebbbbsobbb. Give prob of picking 1 r and 3 b.\nAnswer: 88\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -25, -73, -147, -241, -349, -465?\nAnswer: -583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 2124 and 1099524.\nAnswer: 3298572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Does 36 divide 444852?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 3 and 1072107.\nAnswer: 1072107","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -74 + 128. Calculate the common denominator of 24\/r*(-14)\/8 and -19\/3.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 28 = 2*q + 5*x, -x = -3*q - 3*x + 20. Let d(n) = 41*n**2 + 3*n - 3. Let g be d(-3). Suppose q*r = r + g. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -3.21 - -3.210451. Round w to 5 decimal places.\nAnswer: 0.00045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r\/(r*r**(3\/10)\/r)*r*r**22*(r*r**(2\/9)*r)\/r**(3\/11))**(-6) assuming r is positive.\nAnswer: r**(-25393\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = 25*u**3 + 5*u - 21. Let q(s) = 13*s**3 + 2*s - 11. Let f(o) = 2*p(o) - 5*q(o). What is the derivative of f(h) wrt h?\nAnswer: -45*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 3\/16 of a day?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.5 and -2856079?\nAnswer: -1428039.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify x\/x**7*x\/x**(-3)*(x\/((x*x\/x**(1\/4)*x*x*x*x)\/x))**(1\/5)*(x**0\/x*x*x)**(-25)*(x\/(x\/(x\/(x\/x**(-2\/7))*x)))**9 assuming x is positive.\nAnswer: x**(-597\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*sqrt(5)*3*-3*1.\nAnswer: 27*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 43\/379293 and 14\/759?\nAnswer: 4172223","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -217 + 219.104. Let g = x - 2.1903. What is g rounded to three decimal places?\nAnswer: -0.086","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = -s**2 + 11*s + 2. Let q be y(0). Which is the closest to q?  (a) 1  (b) 2\/5  (c) 2  (d) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:06 AM and 7:43 AM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify w**(-4\/7)\/(w\/w**4*w)*((w**(-2\/9)\/w)\/w)\/w*w**(2\/17)\/w*(w**(-2))**(-50)\/((w*w**(-3\/2))\/w**7) assuming w is positive.\nAnswer: w**(224533\/2142)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = -y + 1. Let m(d) = -d - 7. Let v(n) = -n - 18. Let l(b) = 16. Let z(c) = 3*l(c) + 4*v(c). Let i(a) = -21*m(a) + 6*z(a). What is -i(g) + 4*j(g)?\nAnswer: -g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ffh when three letters picked without replacement from fhhhhfh?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 6 - 4. Let s(o) = -o**3 + o**2 + 4*o - 3. Let u be s(k). Let b = 35 + u. What is the highest common factor of b and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = -t + 6. Let g be w(10). Let c be 9\/1 - (-2 - g). Let p = c + -4. Solve 5*x - 5*j - 15 = 0, -3*x - 8*j + p*j + 17 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) be the first derivative of -u**3\/3 - 7*u**2\/2 - 6*u - 3. Let g be z(-4). Solve g*t = t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.2 plus -0.06919736?\nAnswer: -0.26919736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -5193 + 5226. Is 24 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*sqrt(187)*2)\/sqrt(11) - (0 + sqrt(153))*5.\nAnswer: -19*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: (0\/((-1)\/(3\/(-6))))\/(-1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -4 in -0.2, 74, -0.044, 4\/23?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 15 - 10. Suppose 0 + 15 = w*n. Let f(h) = 2*h - 4 - 21*h**2 + 0*h**3 - h**n + 18*h**2. What is f(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 7 - 15. Let q be j\/(-10) - (-12)\/(-30). Let i = 0.1 + -1.1. What is the second biggest value in i, q, -2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 1 - 2. Let o = -41 - -163\/4. Which is the nearest to 0.1?  (a) v  (b) 0.5  (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 6 + -7. Let d = -0.6 - i. Which is the third biggest value?  (a) d  (b) 0  (c) -1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = -o**3 - 4*o**2 - 14. Let m be r(-5). Solve 0 = -4*y - 31 + m for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 210664 to the power of 1\/3, to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = -22*m + 122. What is g(7)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 4562, 4453, 4130, 3485, 2410, 797?\n\"Answer: -18*t**3 + t**2 + 14*t + 4565","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 4?  (a) 2  (b) -3  (c) -0.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 5 + -1. Let n(h) = -h**2 - 382*h - 4076. Let l be n(-11). Solve i*q = -1 + l for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = 4*c**3 - 2*c**2 - 16*c - 2. Let f(a) = -a**3 + a**2 + 5*a + 1. Suppose 2*l = 5*r, 4*r = -5*l - 21 - 12. Let q(u) = r*m(u) - 7*f(u). What is q(-2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 660 - 654. Solve 5*v + 5*q = 2*v + 4, -v = -3*q - b for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 53\/5 of a litre in millilitres?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w**(-26)\/w)\/w)**(-7\/8)\/(w**(2\/43)\/(w\/w**(1\/3))) assuming w is positive.\nAnswer: w**(6481\/258)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = -11*y + 38. Let f(h) = 7*h - 25. Let g(n) = -8*f(n) - 5*i(n). Determine g(0).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 192  (b) -6  (c) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is (1\/4)\/(2 - 5061\/2532) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y**(-3)\/((y\/y**12)\/y))\/((y\/(y\/(y\/(y**(3\/13)\/y*y))))\/(y\/(y**0\/y)*y)))**(-1\/5) assuming y is positive.\nAnswer: y**(-146\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence mmx when three letters picked without replacement from mmxpmxxxp?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 46 + -20. Let m = -11 - -18. Calculate the remainder when d is divided by m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 7.93 - 7.9306668. Round c to five dps.\nAnswer: -0.00067","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.3 times 72.2?\nAnswer: -21.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in 1\/10, -147, 0, -108?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 2.1 + -2. Let k = -67 - -70. Are k and n equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -x**3\/5 - 152*x**2\/5 + 14336*x - 4716544\/5.\nAnswer: -(x - 112)**2*(x + 376)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is -371 smaller than -369?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*o + 3*m + 16, m - 3*m + 8 = -o. Put o, -48, 2 in decreasing order.\nAnswer: 2, o, -48","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-1)\/(-5) + 16 + 189500810\/(-50). Round a to the nearest 100000.\nAnswer: -3800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -121 - -11?\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 98 minutes after 7:07 PM?\nAnswer: 8:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4.503 + -18.\nAnswer: -22.503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*z - 2*z. Suppose 261 = 5*x + 3*y, z*x + 5*y = -x + 61. Let c(j) = -51 + x + 2*j. Let q(g) = 9*g. Determine c(q(u)).\nAnswer: 18*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is three fifths of a meter in centimeters?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: ((-1)\/(14\/6))\/(65\/39*684\/420)\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11038 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = 4*u**3 - 3*u - 3. Let b = 80 - 77. Let v(x) = -5*x**3 + 2*x + 2. Calculate b*v(f) + 2*z(f).\nAnswer: -7*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 512146800 and 50?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = 7*d**2 + 109*d + 545. Give z(-8).\nAnswer: 121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = -82 - u + 0*u + 41 + 42. Calculate a(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17 = -10*l + 57. Suppose 0 = -2*h - 2*h + 2*n + 164, -l*h + n + 160 = 0. What is the remainder when h is divided by (-10)\/((-1)\/2 + 0)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-2)\/(-1) + 0)*1. Suppose -94*l + 86*l + 1880 = 0. Suppose -3*x = o*x - l. Is x a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -15 - -12*(-15)\/(-9). What is the nearest to -2\/5 in -0.4, z, -3\/4, 17?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.947 - -0.053. Put n, 0.3, 1.6 in increasing order.\nAnswer: 0.3, n, 1.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 11\/((-22)\/(-56) - 21\/84). Suppose 73*k - w*k + 392 = 0. What are the prime factors of k?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 c and 2 j when three letters picked without replacement from jcjjittjj.\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -413225, -827374, -1241523, -1655672?\n\"Answer: -414149*p + 924","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*r - 76 = -4*f, 2*f = 6*f - 3*r - 108. Let k be (f\/84)\/(1\/7). Solve -k*a + a = -1 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 7 + 2680?\nAnswer: 2687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 180\/33*3\/(-4) and -2 + 0 - 62\/6?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-32 + 17 + 61\/5)\/(40\/100).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 4  (b) 6\/17  (c) -5  (d) 2.49\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:53 AM and 9:12 AM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -18255170 (base 9) in base 8?\nAnswer: -43033505","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -b + 2*b**4 + b**2 + 4*b**4 - 4*b**4 + (b**3 - b**2 + b**2)*(2*b + 0 + 0) to the form m*b + u*b**4 + f + o*b**2 + q*b**3 and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5 - 5 + 0 + 4*f.\nAnswer: 4*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -125, -580, -1341, -2408, -3781, -5460?\n\"Answer: -153*w**2 + 4*w + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g = f + 3*f + 293, -g = -2*f - 159. Let w = -228 + f. Let b = 824 + w. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 1231 + -1?\nAnswer: 1230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 145324 and 47?\nAnswer: 145324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -151\/72 and (-1)\/5*2375\/100.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be -1*(-6 - (-1)\/1). Let c = 24 + -39. Let f be ((-12)\/(-18))\/((-2)\/c). Solve -5*y - 25 = 2*s, -b*s - y + 0*y = f for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*c - 3*l = -15 + 38, -4*l - 28 = -4*c. Let t(p) = 5*p - 5 - 3*p**2 + 4*p - 3*p**2 - 2*p**2. Let a(v) = -2*v**2 + 2*v - 1. Give c*t(j) - 9*a(j).\nAnswer: 2*j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 22\/261 + -43436\/1305. Let l(n) = -n**2 + 16*n + 24. Let y be l(19). Let j = y - f. What is the closest to -0.1 in -1\/6, -5, j?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -1  (b) 0.5  (c) -5\/7  (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Add 0.3 and 590702.98139841.\nAnswer: 590703.28139841","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -o = 6*p - 33, 4*o + 267*p - 264*p = 27 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*h**2 + 5 - 6 + h**2 + (h + 4 - 4)*(0*h + 0*h - 2*h).\nAnswer: -3*h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Express -424*t + 215*t - 17 + 210*t in the form a + k*t and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -6 + 3 + -1 + 3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 371 is divided by 140.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*v - 80 = -4*o, -38*v - 173*o + 760 = -168*o for v.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 183965754?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f = f + 18. Let v be (f\/(-4))\/(12\/(-8)). Which is smaller: v or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = 2*a**3 + a**2 - 5*a + 5. Let k(z) = 7*z**3 + 29*z - 47. Let q(j) = -15*j**3 - 63*j + 102. Let u(d) = 13*k(d) + 6*q(d). Calculate h(c) - 3*u(c).\nAnswer: -c**3 + c**2 - 2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-441)\/(-98)*((-30)\/90)\/(2\/6)?\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p + 0*p = 5*c - 48, -3*p - 3 = 0. Suppose -2*q + c = 3*q. Find the third derivative of -6*k**2 + q*k**2 + 2*k + 2*k**3 - 2*k wrt k.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 10 divide 5901475325?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 54 is divided by 49.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*z = 20, 9 = w - 6*w - 4*z. Let u be 11 + w\/(-20)*0. Let b(t) = -t**3 + 11*t**2 - t + 13. Let l be b(u). Put -31, l, 1 in ascending order.\nAnswer: -31, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = 5*k**2 - 5*k - 1. Let m be (-10)\/((-7)\/((-14)\/4)). Is y(m) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**(1\/13)\/r**7)\/(r*r*r*r**0)**(-8) assuming r is positive.\nAnswer: r**(222\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = -v**3 + 5*v**2 + 8*v - 9. Let k be m(6). Is 22 a factor of -3 + k\/6*82?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = -54*s**3 - 2*s + 15*s**3 + 5 + 3*s - 2*s**2 + s**2 + 40*s**3. Determine q(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 87713 - 51340. What is the hundreds digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.31422041 to two decimal places.\nAnswer: -0.31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 6896957 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -1.8 - -1.3. Let n = w - -0.7. Which is the second biggest value?  (a) 5  (b) 0.3  (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 53745.2 - 53745. Let l = 0.5 - 0.4. Put x, -56, l in increasing order.\nAnswer: -56, l, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*b + 4*r - 39 = 9, -2*b = -5*r + 18. Let g = b - -30. Suppose s + 3*s = g. Solve 2*p + 4*a + 0*a + 2 = 0, -s*p + 3*a = 26 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g + 743 = 3*o, 375 = -2*g + 4*g + 5*o. What is the remainder when g is divided by 171?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 94.4 + -92.4. What is the nearest to -51 in -2, o, 0.5, 0.2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -5 + 0 + 1 + (5 - 0).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*(sqrt(3) + sqrt(12)) - sqrt(3) - (1 + sqrt(3))*4 - 4*(sqrt(27)\/sqrt(9) + 1))**2.\nAnswer: 288*sqrt(3) + 1036","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = 219*f + 8. Let b(v) = -3726*v - 138. Determine -4*b(o) - 69*y(o).\nAnswer: -207*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = -m**3 + 6*m**2 + 7*m - 3. Let f be j(7). Let u = -12 + 22. Put f, u, 5 in increasing order.\nAnswer: f, 5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -c1b + -2?\nAnswer: -c1d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -5969  (b) 4  (c) 1  (d) 2  (e) 2\/13  (f) -2\/21\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 3 + -83?\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 691183962*-0.5\nAnswer: -345591981","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -21*d - 5*l = -9*d + 20, 0 = -342*d + 339*d - 4*l - 16 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = 37*s - 226. Determine g(11).\nAnswer: 181","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -290\/7?  (a) 515  (b) -3  (c) -1  (d) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 13890.\nAnswer: 2, 3, 5, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*q = -y + 16, -70*y - 32 = 3*q - 75*y for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**13*s*s)**11\/((s*s**(1\/23))\/s**10) assuming s is positive.\nAnswer: s**(4001\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = 7*c**3 + 13*c - 39. Let f = -263 + 267. List the prime factors of s(f).\nAnswer: 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 150432 is divided by 37605.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 5 divided by 473\nAnswer: 5\/473","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 41479*x - 3*x**2 - 14322*x + x**2.\nAnswer: -2*x**2 + 27157*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from tmtmtnmmttu. What is prob of picking 2 t and 1 n?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -1300 + -1?\nAnswer: -1301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*r**3 + 168*r**2 + 2175*r - 5046.\nAnswer: 3*(r - 2)*(r + 29)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 94 - 100.2. Let l = 6.2184 + c. Round l to 3 decimal places.\nAnswer: 0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 1\/4 of a milligram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = z**3 - 13*z**2 + 11*z + 12. Let s be y(12). Suppose -3*j + 4*v = -58, -4*j + 5*v + 8 + 68 = s. Does 13 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*j - 3*d - 5 = 2*d, -4*j = 2*d - 6. Suppose 0 = -76*b + 80*b - j. Let s = -5 + 7. What is the highest common factor of s and b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = 58*s**2 - 138*s - 31. Is q(15) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 12\/15*(-170)\/(-4). Calculate the highest common factor of 68 and n.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h*h**(-2\/27))\/h**10*(h*h**(-6)*h)\/h*((h**(3\/8)\/h)\/h)\/h)**(2\/3) assuming h is positive.\nAnswer: h**(-3607\/324)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*c - 5*b - 11 = -c, 2*c + 2*b + 4 = 0. Is ((-276)\/18)\/(-2*c\/3) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 330 = 12*j - 246. What is the greatest common divisor of 2 and j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -1\/3414371 and 17\/3249823.\nAnswer: 269735309","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = 4*j**2 - 918. Let w(s) = 3*s + 12. What is a(w(n))?\nAnswer: 36*n**2 + 288*n - 342","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 212, -1347, 11, 4 in descending order.\nAnswer: 212, 11, 4, -4, -1347","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*sqrt(175)*4 - (sqrt(175) - (sqrt(175) + 0)*1 - sqrt(175)))**2.\nAnswer: 1575","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 1005*c**3 - 3396 with respect to c.\nAnswer: 3015*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 10\/9 of a week?\nAnswer: 11200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 39*t**3 - 2377 + 50*t**4 - 30*t**4 + 2378 + 3*t**2 - 4*t**3 to the form s*t**3 + u + i*t + b*t**4 + v*t**2 and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) be the second derivative of -h**5\/20 + 5*h**4\/12 - h**3\/6 + 3*h**2 + 3*h. Calculate u(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 704080 (base 11) in base 2?\nAnswer: 100010100100011100001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = 3*p - 66. Let x(z) = 2*z - 44. Let n(w) = -5*v(w) + 7*x(w). Let h be n(20). Calculate the lowest common multiple of (12\/(-16))\/(h\/(-32)) and 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-n**3 + n**3 + n**3)*(1 - 1 - 1 + (0 + 0 + 2)*(-6 + 4 + 1))*(-9*n**2 - 8*n + 8*n).\nAnswer: 27*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*q**3 - 22*q**3 + 14*q**3)*(-2 - 3 + 6).\nAnswer: -4*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = -13*o + 106. Let k be q(8). Are -15 and k nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -159 + 169. Let f be -18*(-5 + 55\/x). Let d(p) = p + 7. Calculate d(f).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -52.31 - -52. Let i = -12.31 - w. Let d = i - -13.42. What is d rounded to one decimal place?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = h**3 + 6*h**2 - h - 3. Let f be q(-6). Suppose -f*v + 7*v = 20. Which is the second smallest value?  (a) -1  (b) 0.4  (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = -41*a - 5. Let k(j) = -48*j - 6. Suppose 207 = -28*h + 11. Let i(r) = h*p(r) + 6*k(r). Let v(n) = -n**2 + 2*n + 1. Calculate -2*i(y) - v(y).\nAnswer: y**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = 40*t + 878. Give s(-24).\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-149 + 149 - 84*n)*(2*n**2 + n**2 - n**2).\nAnswer: -168*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 181294?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 12955?\nAnswer: 5, 2591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -d**4*y**2 + 147423*d**3*y**3 + 9*d*y**2 + 98*d*y - 36*y**3 + 2*y**2 wrt d?\nAnswer: -12*d**2*y**2 + 884538*d*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 296470936.\nAnswer: 2, 37, 823, 1217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2381069?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -16.823 - -344.223. Round m to the nearest ten.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = -9*x**3 - 3*x - 1. Let r = 38 - 40. List the prime factors of j(r).\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 c and 1 w when three letters picked without replacement from cwcrwwwwrc?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence jg when two letters picked without replacement from {r: 1, p: 3, d: 3, u: 1, g: 2, j: 2}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) be the second derivative of -g**3\/3 + g. Let f(l) = 126*l**2 - 4*l - 8. Let z be f(-5). Let y(x) = 2*x**2 + z - 3162. Calculate y(h(w)).\nAnswer: 8*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 240659*z**4 + 49034.\nAnswer: 962636*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 2922 - 2920. Which is the fourth biggest value?  (a) n  (b) 3\/8  (c) 6  (d) -43\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = 3*w**4 - 7*w**3 + w**2 - 4*w + 7. Let q(u) = -u**4 + 2*u**3 + u - 2. Let c(j) = -6*a(j) - 22*q(j). Factor c(k).\nAnswer: 2*(k - 1)**2*(k + 1)*(2*k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/4*((-50)\/(-15))\/(-5)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 2579 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = -v - 1. Let p be y(-4). Suppose 3*o + u + 32 = 8*o, u - 16 = -p*o. Suppose a - 5*i = 6*a - 45, 4*a - o = 2*i. Put a, -0.5, -8 in descending order.\nAnswer: a, -0.5, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 82970 and 1312.\nAnswer: 54428320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(55)\/((sqrt(22)*-1)\/sqrt(2)) + (sqrt(10) - (sqrt(10) - (sqrt(30)\/sqrt(3) + sqrt(10) - sqrt(10))))\/sqrt(2)*2 - (4*(1 + sqrt(405) + -2) + -3))*1.\nAnswer: -35*sqrt(5) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = -d**3 - 13*d**2 - 11*d + 14. Let y be m(-12). Let b be y*2 - 9\/3 - -10. Suppose b + 79 = 3*t. Is t a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x**4\/7 + 76*x**3\/7 + 7216*x**2\/7 - 123904*x\/7 - 199680 = 0. Calculate x.\nAnswer: -40, -8, 28, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (((-2)\/6)\/((-8960)\/4320))\/(9\/12).\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-48)\/(-10))\/(-2)*110\/44.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 168 and 8526?\nAnswer: 34104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 310 (base 6) to base 4\nAnswer: 1302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20*s - 10*s = 20. Let k(v) = -v**s + 3*v - 4*v - 1 + 0*v. Give k(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let t be ((-70)\/(-15))\/((-1)\/(-3)). Let k = -19 + t. Which is the closest to 10?  (a) 3  (b) k  (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/11 in 12\/395, 4\/5, 1\/14?\nAnswer: 12\/395","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + ((2*sqrt(104))\/sqrt(8) - -1*sqrt(13)*-3))**2.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1 or 3959\/11656?\nAnswer: 3959\/11656","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 88024747 to the power of 1\/2, to the nearest integer?\nAnswer: 9382","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -18 + 1. Let z = s + 17.5. Let q = 0.33 + -0.03. Which is the third biggest value?  (a) 3  (b) z  (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = -2*p**4 - 2*p**3 + p**2 + 1. Let b(g) = 163*g**4 + 14*g**3 - 85*g**2 - 7. Let r(m) = -28*a(m) - 4*b(m). What is the third derivative of r(z) wrt z?\nAnswer: -14304*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -52 - -53. Let v(d) = -7*d - 87. Let x be v(-13). Solve w = -x*b + m, -4 = -6*b + 3*b - 4*w for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -r**2 - r**3 + 21068*r + 2*r**3 - 3 - 9 - 21064*r + 0 to k*r + a*r**2 + g*r**3 + y and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -57?  (a) -1.2  (b) -5  (c) -41\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) be the first derivative of 5*s**6\/24 - s**5 - 55*s**4\/16 - 5*s**3\/2 - 301. Find f such that b(f) = 0.\nAnswer: -1, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -1045*w**2 + 2*w + 65650 with respect to w.\nAnswer: -2090*w + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h = -10 + 18. Solve -152*v - h = -150*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of l*x**3 - 5*l*x**2 - 43*l*x - 2*l - 202207*x**3 + 12*x**2 - 1 wrt x?\nAnswer: 6*l - 1213242","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 221925 divided by -2959\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -2\/33  (b) 0.01  (c) -0.031168\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -8311, -8314, -8317?\n\"Answer: -3*s - 8308","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 213 + -212.7. Put 108, p, 0 in ascending order.\nAnswer: 0, p, 108","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o*o**(1\/47)*o*o*(o*o*o\/(o**(-29)\/o))\/o)**(-34))**(3\/2) assuming o is positive.\nAnswer: o**(-83946\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1 or 7752.8?\nAnswer: 7752.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 180 and 1311210?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) be the second derivative of 4*z + 1\/12*z**4 + 0 + 2\/3*z**3 - 2*z**2. Suppose 0*k = 4*k + 16. What is s(k)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -894*r = -719*r - 6650 for r.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = 5*d**3 - 5*d**2 + 7. Let q(k) = -4*k**3 + 5*k**2 - k - 6. Determine 7*q(b) + 6*w(b).\nAnswer: 2*b**3 + 5*b**2 - 7*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + (-2*sqrt(16)*-3)\/(sqrt(600)\/sqrt(3)) + -2)*-2.\nAnswer: -12*sqrt(2)\/5 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = 61667*r - 61683. What is t(1)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -3547168, -3547118, -3547068?\nAnswer: -3547018","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Do 2 and -23 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*b + 2312*f = 2314*f + 10, -f + 3 = -5*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = h**3 + 14*h**2 + 10*h - 23. Let p be -5 + -36 + 13 + 15. Give m(p).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = 4*n**2 + n - 9. Let b(g) = 2*g**2 - 4. Suppose -3*k - 3*r = -k - 8, -k + 4 = 2*r. Give k*f(z) - 9*b(z).\nAnswer: -2*z**2 + 4*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2 in 3, -0.2, -3\/2, -9499?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = 2*a + 3. Let d = 7145 + -7163. Let k(n) = 7*n + 0*n - 7 + 20. Give d*r(b) + 4*k(b).\nAnswer: -8*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) be the third derivative of -n**5\/60 + 10*n**2. Let b(z) = -2*z**2. Determine o(b(h)).\nAnswer: -4*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 172 divided by 1\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-328*n**4 + 403*n**4 - 381*n**4)*(0 - 3 + 2).\nAnswer: 306*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) -1557\/2  (b) 5\/2  (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 4 - (-1 - 25) - 7\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 102?  (a) 1  (b) 5  (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*r**2 + 1891232*r - 223547404864.\nAnswer: -4*(r - 236404)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*o**3\/3 - 5984*o**2\/3 + 96128*o\/3 - 385024\/3.\nAnswer: -2*(o - 8)**2*(o + 3008)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 32*k**3*o**2 - 8*k**2*o**2 - 82*k**2*o - 60*k*o**2 + 403*o wrt k.\nAnswer: 192*k*o**2 - 16*o**2 - 164*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = -874*c + 11 + 9 + 873*c. Give m(0).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is 3.527 rounded to 1 dp?\nAnswer: 3.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1028223865.\nAnswer: 5, 839, 245107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) be the first derivative of -259*a**4\/4 + 4*a**3\/3 + 15*a**2\/2 - 14. Let w be l(-9). What is w rounded to the nearest ten thousand?\nAnswer: 190000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 1 + 3. Let d be ((-6)\/s)\/(9\/(-24)). Suppose -4*z + 6*h - 2*h = -224, 2*h = -d*z + 242. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (22\/6 + -3)\/((-2)\/6). Let u be 0 - (2 + x - (-4)\/(-16)). Which is the smallest value?  (a) 0.4  (b) 0.6  (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (6\/8)\/((-1)\/4). Let m = x - -1. Let c(d) = -5*d**2 - 3*d + 3. Let u(j) = 14*j**2 + 8*j - 8. Let a(i) = 8*c(i) + 3*u(i). Calculate a(m).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -1930, 1, -5, -12 in ascending order.\nAnswer: -1930, -12, -5, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = 63930*b + 443. Is k(1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*p + 5*p - 15. Suppose -4*q - p*z = -103, q - 6*q + 131 = 3*z. Suppose -d + k = -15, 0 + 12 = 4*k. What is the lowest common multiple of d and q?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -1172, -4509, -10060, -17831, -27828?\n\"Answer: -w**3 - 1101*w**2 - 27*w - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) be the first derivative of -a**3\/3 - 16. Let h(g) = 3 + 4*g - 3. Determine h(o(m)).\nAnswer: -4*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange ((4*u + u - 2*u)*(-u + 2*u - 4*u) + u**2 - 3*u**2 + 163*u - 274*u)*(0*u + 2*u + 0*u) to the form p*u**3 + w + a*u + b*u**2 and give b.\nAnswer: -222","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = -350*p - 291*p + 4*p**2 + 1230*p - 293*p - 296*p. Let b(h) be the third derivative of h**5\/30 - h**2. Determine j(b(s)).\nAnswer: 16*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {g: 4, j: 1, p: 2, e: 1, i: 1}. What is prob of sequence ie?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -42386 + 64068. What is the greatest common factor of 74 and l?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 7 - ((-3 - 2) + 259\/21). What is the closest to x in -2, -0.2, 3, -4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 9449 or 9524?\nAnswer: 9449","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 252247?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 245 - 2?\nAnswer: 243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-252)\/(-924))\/((-1)\/(-11)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -39416 rounded to the nearest one thousand?\nAnswer: -39000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 343100800.\nAnswer: 2, 5, 7, 17, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:53 PM and 7:46 PM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 440699 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 3449 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1393651?\nAnswer: 7, 89, 2237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 54337?\nAnswer: 67, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -2 - -2. Suppose 3*s + s - 1588 = a. Let m be s\/4 - (-6)\/8. What is the greatest common factor of 20 and m?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 52 divide 137488?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort 12.7, 5, 0.08, -7.\nAnswer: -7, 0.08, 5, 12.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -79\/6 and 71\/716.\nAnswer: 2148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 37586 to the power of 1\/2, to the nearest integer?\nAnswer: 194","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -72 + 39. Does 65 divide 6\/m + -1 + (-5128)\/(-11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2768072?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = r**2 + 4*r + 5. Let q be 2\/((0 - 3)\/(-6)). Calculate the remainder when z(q) is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15 = 5*u, 5*u = 2*d + u - 14. Let n be (3\/(6\/2))\/(-1)*d. Let i = 2 - n. Which is the closest to 0?  (a) 0.4  (b) 0.5  (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (32\/112)\/(7\/49). Suppose -3*c + 2*n + 21 - 6 = 0, -4*c - 4*n = 0. Determine k, given that 0 - 4\/5*k**c - 2\/5*k**s + 0*k - 2\/5*k**4 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 358 and 2911972?\nAnswer: 2911972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 82099?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 44980 and 132.\nAnswer: 1484340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 58924194 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*a - 5*a - 15 = 0. Suppose -5*w + a*w = -3*k + 5, w = k. Let x(h) = 21*h - 7. What is the tens digit of x(k)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 208438?\nAnswer: 2, 89, 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*d**2 + d**2 - d**2 + (-2 + 2*d**2 + 2)*(-1 - 3 + 3) + 3*d**2 - 5*d**2 + 4*d**2 + 7*d**2 - 2*d**2 + 0*d**2 as t*d**2 + s*d + m and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.184355 to 1 dp.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -39890000 rounded to the nearest 1000000?\nAnswer: -40000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 31 + (-103 - -31) - -65\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-2)\/5)\/((-7)\/(-35)). Let s be (-399)\/(-38)*p\/(-3). Suppose -16 = s*d - 9*d. Calculate the lowest common multiple of d and 5.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = -3*f**3 + 9*f**2. Let g = 38 - 23. Let u be 5\/g*(0 + -3). Let t(r) = -r**2. Determine u*i(q) - 9*t(q).\nAnswer: 3*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = b**3 + 6*b**2 - 263*b - 2263. Calculate t(-10).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -37*a = 863 - 676 - 631 for a.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (18\/(-12))\/(3\/36). Let v be -12*3\/(t\/(-21)). Is (v - (0 + 1))*-1 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-148)\/(-185)*10\/(-36).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-217 - 49 + 95)*(3 - 2*s**2 - 30*s + 30*s).\nAnswer: 342*s**2 - 513","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*j - 1661*r + 304 - 31 = -1659*r, 0 = 4*j + 3*r - 224 for j.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find f, given that -57*f**4\/4 + 9051*f**3\/4 + 230193*f**2\/4 - 189231*f\/4 - 12489 = 0.\nAnswer: -23, -4\/19, 1, 181","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 753*u - 212*u - 104*u - 16592 = -1637*u for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4407*p = 4283*p + 10540. Let m = 0.06 - 0.36. Which is smaller: p or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = s**2 + 21*s + 55. Give d(-20).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*w**3 + 366*w**2 - 364*w.\nAnswer: -2*w*(w - 182)*(w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -63*h - 212 = -65*h. Suppose 9*c + h = 13*c + 2*q, 0 = -5*c - q + 125. Which is greater: 5 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = j**3 - 6*j**2 - 132*j + 949. What is g(9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = 4061 - 3946 + 10*f - 2*f + 3*f. Calculate b(-11).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r + 3*h + 55 = 4*h, 3*r + 4*h = 95. Calculate the least common multiple of 5 and r.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from {u: 2, f: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*i**2 - i**2 + 16*i**2.\nAnswer: 13*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Does 3090 divide 702199948?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -6176979*c*q**3 + 38*q**3 - 242*q + 21 with respect to c.\nAnswer: -6176979*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 254609 to the power of 1\/5, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = -l - 1. Let g = 4 - 3. Let r(t) be the third derivative of 5*t**4\/6 + 10*t**3\/3 - 3*t**2 - 1. Let c(y) = g*r(y) + 12*d(y). Differentiate c(v) wrt v.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/5?  (a) 18\/79  (b) 2\/3  (c) 208\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = r**3 - 25*r**2 - r + 1. Let s(l) = 23*l**3 - 61*l**2 - 98*l - 116. Let x(n) = -12*q(n) + 3*s(n). Suppose x(m) = 0. Calculate m.\nAnswer: -3, -20\/19, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3.6582 at least -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -h - 0*h + 5. Suppose -h*v + 92 = -v. Suppose 5*c = 96 + 234. Calculate the remainder when c is divided by v.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2246 is divided by 478?\nAnswer: 334","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*t + 3*t - 50075*t**2 - t - 7*t.\nAnswer: -50075*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = -6*x**2 - 9*x - 1. Let l(j) = 9*j**2 + 13*j + 1. Calculate 5*l(m) + 7*n(m).\nAnswer: 3*m**2 + 2*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -23\/8472 and 85\/83172.\nAnswer: 58719432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 v and 2 f when four letters picked without replacement from {v: 10, f: 2}?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = 6*u**2 + 11*u - 5. Let i(h) = -7*h**2 - 6*h + 5. Determine -2*i(c) - 3*n(c).\nAnswer: -4*c**2 - 21*c + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 53264 - 22596. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000279473 to six decimal places.\nAnswer: -0.000279","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -x**4 + 7914*x**2 - 3182*x + 475275291.\nAnswer: -4*x**3 + 15828*x - 3182","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = -v**3 + 9*v**2 - 12*v + 4. Let n(x) = -x**3 + 8*x**2 - 11*x + 5. Let l(c) = -4*a(c) + 3*n(c). Is l(12) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = -10*l - 12. Calculate r(-4).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -8, -5, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18*l + 14*l - 19040 = 0. Let k = -588 + l. Solve 4 = -5*t + k*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from keykkbkkkkddekkdyke. Give prob of sequence by.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*q + 159 + 386. Let s = q - -83. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*x = -l + 5, 3*l + 4*x = -0 + 4. Suppose 2*i + 4 = -2*b, 5*i + 6 - 1 = l. Let a(n) = -5*n + 5. Let k(d) = -d**2 - d + 1. Give b*a(w) + 5*k(w).\nAnswer: -5*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*r + 4*a = -40, -3*r = 2*r + 5*a. Suppose 0*s - 4 = 2*u + 4*s, 0 = -r*u + 4*s + 18. Solve 0 = -3*g - v + 6, v + u = g - 2*v for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert a8 (base 12) to base 8.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = -l**3 + 5*l**2 + 10*l - 10. Give s(5).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*h - 10 = -h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 166*d - 3644 = -256 + 928 for d.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-7 + 7 + 5*s + 0 + 2*s + 0 + (0 - 2 + 3)*(-3*s - s + 3*s))*(0 + 0 - 1) - 95*s + 683*s + 268*s + 736*s to k + q*s and give q.\nAnswer: 1586","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 11440 (base 5) in base 11?\nAnswer: 721","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {g: 7, d: 4, o: 1, p: 1}. Give prob of sequence gg.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*((sqrt(90)\/sqrt(5) + 5 - (-2 + sqrt(200))*-5)*-2*-3)**2.\nAnswer: -406296 + 38160*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d**(-3)\/d)\/d**3*(d\/(d\/d**(4\/3)))\/(d\/d**(-2\/5)))**27 assuming d is positive.\nAnswer: d**(-954\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = 5*j. Let i(o) = 4*o + 9*o - 9*o. Calculate f(i(a)).\nAnswer: 20*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 23.05 - 0.05. Let p = -132.1 - -155. Let n = s - p. Sort n, -2, 0 in increasing order.\nAnswer: -2, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 5658881593?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0148766 rounded to four dps?\nAnswer: -0.0149","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence dz when two letters picked without replacement from {c: 1, r: 3, x: 6, d: 2, z: 1}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -0.5+-4572\nAnswer: -4572.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 48b0 (base 13) to base 12\nAnswer: 5b4b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 9*h**2*k*r**2 - 5*h**2*k*r - 3*h*k*r - 158*k - r**2 wrt h?\nAnswer: 18*h*k*r**2 - 10*h*k*r - 3*k*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-2)\/4 - 2\/(-4). Suppose 5*b - 4*k = 122, i*b = 5*b + 2*k - 104. Is 10 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -105 - (-135 + 103 + -59)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -u**3 + 687*u - 10*u**2 - 687*u to x*u**3 + y*u**2 + z*u + l and give y.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 15 + -19. Which is the closest to 3?  (a) 2  (b) -1\/2  (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -57 + 57. Suppose -2*q = 28 - 2. What is the fourth biggest value in r, -0.4, 2\/7, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16*l - 44*l = -196. What are the prime factors of l + -14 - -13 - -251?\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = -o**3 - 7*o**2 + 7. Let p be c(-7). Suppose -2*h + 4 = -h. Suppose h = p*v - 150. List the prime factors of v.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 24*u + 708 = 49*u + 183 for u.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 6 + -35. Let j = -1129 - -1163. Let m = t + j. Which is the biggest value?  (a) -2  (b) 13  (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -30*o + 251316 - 251144 = -4*m, 4*o = m + 29 for m.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t = -2*t + 124. What is the units digit of t + 2 + -3 + 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) 0.5  (b) 3\/2  (c) -4  (d) 152  (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is -289 less than -289?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = -p**3 + 8*p**2 - 4*p - 6. Let d = -5 + 9. Let q be 11 + (4 + -4 - d). What is the remainder when 42 is divided by r(q)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 80\/63 and 43\/18?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 54.98 - 0.98. Let r = -58.7 + v. Let y = r - -5. Sort y, 0.5, 5 in descending order.\nAnswer: 5, 0.5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) be the second derivative of -p**5\/20 + p**4\/2 + 7*p**3\/6 - 11*p**2\/2 - 34*p - 8. Calculate m(7).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1.796197 centuries to months.\nAnswer: 2155.4364","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 2 and -22952.\nAnswer: -45904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 37483 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-297)\/(-144)*4\/3. Let r = 4 - u. Which is the fourth smallest value?  (a) 5  (b) -1  (c) r  (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {f: 2, c: 2, u: 2}. What is prob of sequence cufc?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Determine q, given that 2*q**3\/5 - 15635546*q**2\/5 + 30558748250862*q\/5 + 30558826428642 = 0.\nAnswer: -5, 3908889","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 - (-3 - -1 - -3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 207 minutes before 2:28 PM?\nAnswer: 11:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -31*s - 7266 = -10*s. Let m = 534 + s. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 27 in 0.3, -36, -13?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 645713.6s to nanoseconds.\nAnswer: 645713600000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k = 938*u - 937*u - 120432, 5*k + u = 301074. Is k a multiple of 77?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = -49*k**2 - 6. What is t(3)?\nAnswer: -447","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -3 + 2. Let f be ((3\/497)\/((-1)\/(-4)))\/((-746)\/2611). Is h != f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = y**2 - 6*y + 7. Let z be w(5). Suppose 11 = 5*m + z*p + 5, -5*m + 16 = -3*p. Let b be 0\/(-4*1\/m). Put 5, b, -1 in increasing order.\nAnswer: -1, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z*z*z**(2\/5)*z)**12*z*z*z**2*z*z**(-7) assuming z is positive.\nAnswer: z**(194\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1 - (9 - 7)) + 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 297 = 41*m - 14*m. Suppose -3*b - 3*w + 69 = 0, -m*b + 2*w = -16*b + 103. Solve 0 = 10*a - b - 1 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify y\/((y*y\/(y**1\/y))\/y)*y\/(y*y**7)*((y*y**(-1\/4)\/y)\/y)\/(y\/(y\/y**(3\/8)))*(y\/(y\/y**8)*y**(1\/5))\/(y**(-1\/3))**(-41) assuming y is positive.\nAnswer: y**(-1691\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) be the first derivative of 18*p - 148 + 3\/4*p**4 - 39\/2*p**2 + 7*p**3 - 3\/5*p**5. What is s in v(s) = 0?\nAnswer: -3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = -934*a - 37269. Give v(-38).\nAnswer: -1777","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -7 + 2. Let p = -8 - s. Let x(n) = -31*n. Is x(p) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 1 + -7. Let m = 8 + g. Find the second derivative of 2*k + 7*k - m*k**5 - 5*k wrt k.\nAnswer: -40*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = -104*c + 31. What are the prime factors of z(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 244501.\nAnswer: 139, 1759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (81 - 83)\/(4 - 2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -23996 divided by -1714?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-5 + 3 + (-1*sqrt(75) + -1 + 5)*-6)*-6)**2.\nAnswer: -56160*sqrt(3) + 121536","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 208*c - 214*c - 18 = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 9 and 11669.\nAnswer: 105021","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 33*h + h - 190 = -156 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from vvfvvf?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 25709 or 1491109\/58?\nAnswer: 1491109\/58","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Does 5 divide (-40)\/100*20*2020\/8*-1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -17*q + 22*q = -35 for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 151 (base 6) to base 4.\nAnswer: 1003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 80032936 and 1135?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Divide 424 by -212.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = -g**3 + 4*g**2 + 3*g - 10. Let h be n(4). Suppose -5*r - 14*a + 10*a = -28981, -h*r + a = -11582. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 171*t - 172*t = 151. Which is bigger: -152 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = 2*j**2 - 20*j + 4. Suppose -22 + 62 = 4*h. Let d be m(h). Let k be 1*(-1 + 8) - d. Solve k*n = 6*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let r = -97 + 73. Let i be (-1482)\/r - 1\/(-4). Let g = i + -47. Which is the nearest to -0.1?  (a) g  (b) -5  (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 10\/5 + -1 - -305. Let n = 59 + -25. What is the highest common factor of n and b?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -8*o**3 - 5*o**3 - 2*o**3 + 10*o**2 + 3*o**2 wrt o?\nAnswer: -90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-55212)\/5778)\/(-1 + 66\/54)\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = -j**3 + 25*j**2 - 24*j + 3. Give x(24).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 141 (base 5) to base 2.\nAnswer: 101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -55810376*h - 44349549 with respect to h.\nAnswer: -55810376","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-7)\/(-2))\/(((-9)\/135)\/(42\/(-315)))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put 2341, 1, 2, -100, 5, -4 in descending order.\nAnswer: 2341, 5, 2, 1, -4, -100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -3 - -c0882?\nAnswer: c087d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 82964 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5026 is divided by 552?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -4*(135\/(-60) - -1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {j: 1, z: 2, e: 1, x: 4}. What is prob of picking 2 x?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -109\/306 and -97\/264?\nAnswer: 13464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = r**2 + 65*r + 411. Calculate h(-6).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = 2*l + 7. Let u(j) = -j. Let z(i) = -i + 3. Let x(d) = -2*u(d) + z(d). Suppose -3*q - 2*q = -2*f - 33, 0 = 2*q + 5*f + 10. Give q*x(w) - 2*s(w).\nAnswer: w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21*b + n = 18*b - 18, -3*b + 5*n = 36. Let r be 56 - (-14 - b - -3). Solve 4*x + r = -8*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = w + 3. Let o be y(2). Suppose 7 - o = z + 3*j, j = -1. Suppose 6*r - 2*r + 3*t = 79, 0 = r + z*t - 41. Is r a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 10873281, 10873223, 10873119, 10872963, 10872749, 10872471, 10872123?\n\"Answer: -z**3 - 17*z**2 + 10873299","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = f**2 - 2*f + 158. Let i be g(0). Let a = 2519 - i. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.04362578634 rounded to two dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -210409048*g**6 - 2*g**3 + 3*g**2 + 37576662*g + 4.\nAnswer: -25249085760*g**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -453*l**2 - 3 + 3.\nAnswer: -453*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 101\/2 and (-2)\/(-4) - 61\/(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2\/15 or -0.975333?\nAnswer: -0.975333","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((-4)\/(16\/2))\/((-2)\/24). What is the biggest value in w, -0.3, 0.2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10*b - 369 = -319 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 604, -2, 1965.93?\nAnswer: 1965.93","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify f\/(f*f*f**18*f)*(f**(-6)*f)\/f assuming f is positive.\nAnswer: f**(-26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-118)\/(-531))\/(41*6\/(-54))?\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 0.219 from -0.3.\nAnswer: -0.519","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Express -2581*u**2 + 8*u**2 - 2 + 310*u**2 + (3*u**2 - u**2 - 3*u**2)*(-1 - 2 + 1) in the form j + m*u**2 + l*u and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*n**4 - 152250*n**3 + 1160828685*n**2 - 27794151000*n + 166633465680.\nAnswer: 5*(n - 15213)**2*(n - 12)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6750337212?\nAnswer: 2, 3, 47, 71, 83, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (((-858)\/(-352))\/(-39))\/(((-225)\/40)\/(-5)).\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence aaap when four letters picked without replacement from {a: 19, p: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 239479802.\nAnswer: 2, 119739901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = -c**3 + 71*c**2 - 151*c + 899. Give o(69).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -38 + 29. Sort w, 0.05, -4 in descending order.\nAnswer: 0.05, -4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 13356953 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Add 23660910186 and -6.\nAnswer: 23660910180","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = 3*s**3 + 28*s**2 + 8*s + 8. Let f be t(-9). Solve -3*b - 4*r = -0*r - 32, -3*b = r - f for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -w + 2. Let u be ((-9)\/6)\/(w\/(-4)). Solve -u*f = -0*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -7, -13, -25, -43, -67, -97, -133?\nAnswer: -175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 24648?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00000013131 rounded to 7 decimal places?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -170, -157, -120, -47, 74, 255, 508, 845?\nAnswer: 1278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (3 + -1 - -3) + (5 - 4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*a - 2*s - 4 = 0, -5*a + 2*s + 11 - 3 = 0. Suppose 49*b = 51*b + a. Let r(z) = -194*z + 2. What is the tens digit of r(b)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 4569.2147 - 4569. Let j = -0.0147 + i. Suppose -u = -3 + 4. What is the nearest to -0.2 in 1\/9, u, j?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 2279 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = m**2 - 4*m + 10. Let f be h(5). Solve o - 4*o = f for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -42832 + 42901. Calculate the highest common divisor of 37053 and k.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1001111101 (base 2) to base 6\nAnswer: 2541","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 8.4?  (a) -2  (b) -71295  (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 223*s = 8674539 - 1607892. List the prime factors of s.\nAnswer: 3, 7, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1 or -254711?\nAnswer: -254711","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 6*(-3 + 4\/(-8)). Let c be ((-12)\/18)\/(1\/r). Let y be (-14)\/6*(5 + 7 - 27). What is the highest common factor of y and c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-32 - 0 - (-181 + 142)) + -6\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.8407490345 rounded to 4 decimal places?\nAnswer: 0.8407","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:24 PM and 3:57 AM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5382 is divided by 334?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 48403 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z\/(z\/(z**(2\/15)\/z)))\/z**(-31) assuming z is positive.\nAnswer: z**(452\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 157 + -107. Suppose 4*x + 5*f + 58 = 18, -z = 5*x + 2*f. Let q = -4.7 - -5.1. Put q, x, -4 in increasing order.\nAnswer: x, -4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 1319 - 1287. Solve 41*l - v = 9 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -4a - -969?\nAnswer: 91e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 11536 divided by 56.\nAnswer: 206","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = 5*r + 420. Give k(-87).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*p - 2*d = -4*d + 41, 0 = -48*p - 47*d + 49*d + 12 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 16215137 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*sqrt(95))\/sqrt(5) - (3 + (sqrt(1539) - sqrt(19))**2).\nAnswer: -1219 + 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 417728917 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x - 14 = 19. Calculate the highest common divisor of 44 and x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.17 in 1, -7, 2\/3, 3, 117?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 456?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -36 + 41. Suppose 3 = 4*l - 13. Suppose -y + f + 10 = 0, -2*y + 4*f + f = -26. Solve 4 + y = l*t - 4*n, 0 = -u*t - n + 9 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1352970 is divided by 5390?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -9\/566420 and 167\/1143990?\nAnswer: 290573460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert -6 (base 11) to base 12.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 459 divide 124676334?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1900 and 456.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.067 in -43.1, -1\/3, -46, 0, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 2074 - -20.46\nAnswer: 2094.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-3 - 2 - -3) + 8. Suppose v - h = -n + 38, -3*v + 5*h = -100. Suppose -v - 64 = -2*x. Is 15 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 545 is divided by 78?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -1102 - -7151?\nAnswer: 6047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 26 and 2626.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -576 = 2*l - 14*l. Let f(y) = 13*y - 342. What is the units digit of f(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*w**4 + 86*w**3\/3 - 572*w**2 + 888*w - 1040\/3 = 0 for w.\nAnswer: -26, 2\/3, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence elz when three letters picked without replacement from eozqjqzqlll?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2 - -1) + -34 + 44?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -3348423, -3348477, -3348531?\nAnswer: -3348585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {u: 1, y: 4, p: 1, h: 2, t: 1}. Give prob of picking 1 t, 1 y, and 1 p.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 6525908864 a multiple of 1411?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -25*q**4 - 4*q - 180 wrt q?\nAnswer: -100*q**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/6 in 2, 1, -1\/12, 1\/3, 0.5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 5496872 to the nearest integer?\nAnswer: 2345","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*k = -9*k. Suppose 0 = 5*z - 25, k*a - 15 = -a - 3*z. Solve -2*d + u = -6*d - 8, -u = a for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 29*j**2 - 6*j*o + o + 48 with respect to j.\nAnswer: 58*j - 6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from {u: 3, e: 3, p: 1, n: 1, k: 3}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 4251360?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -642 + 640. Put 0.03, 8, 1, k in decreasing order.\nAnswer: 8, 1, 0.03, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3*-0.78\nAnswer: -2.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express 0*x**2 - 3*x**2 - 1209945 + 1210016 - 2*x in the form d*x**2 + k*x + t and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g + m + 19 = 3*m, -4*m = 12. Let a be -18 - -20 - (-5)\/(g\/(-3)). Solve -9*s - a = -4*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 74539 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from aaaaa. Give prob of sequence aaa.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*h - 2\/9*h**4 - 2\/3*h**3 + 0*h**2 + 0 = 0 for h.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3060 divided by 18.\nAnswer: -170","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-18)\/(-456)*(-16)\/(-6) + 96\/171. Which is greater: -236\/33 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000306 rounded to four dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*t**2 + 91840*t + 91838.\nAnswer: 2*(t + 1)*(t + 45919)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d - 4*d = -192. Suppose 2*b + b = d. Suppose 0 + 34 = 3*i - p, -b = -4*i - 2*p. What is the least common multiple of i and 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 26\/8*(0 - -12). Let q = 84 - n. What is the highest common factor of q and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 460 - 164. Let c be t\/56 - (-6)\/(-21). Suppose 4*u - 27 = -c*u. Solve 35 = -5*h + u*a - 0*a, -15 = 5*h + a for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from jtjtt?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 5198?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -423302*k - 2432 = -423226*k for k.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(77) - sqrt(77)*2)*-6 + sqrt(77) + (sqrt(77) - -1*sqrt(77))*4)\/((2*sqrt(1331) - sqrt(1331))*-1*-4).\nAnswer: 15*sqrt(7)\/44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 10 a factor of 257941?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Express -5032 + 5032 + 3*v - 28*v as k*v + g and give k.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 251.5 + -251. Suppose -3*v + 0*v + 2*g - 9 = 0, 5*v + 3*g = -15. Let w = 264 - 1845\/7. Sort v, o, w in descending order.\nAnswer: o, w, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (4 + 5)\/(3\/(-4)*-2). Suppose 0 = -l*h + 13*h - 35. What is the remainder when 24 is divided by h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 18*d - 21*d + 15. Solve -s = -z - 3 + d, -s = z + 4 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = 3*o - 16. What are the prime factors of h(12)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = -13*r + 802. Determine u(62).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-2)\/(-2) + -16 - (-12 + 13). Which is bigger: r or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) be the third derivative of 5*v**2 + 0*v + 0*v**6 + 0*v**3 + 1\/168*v**8 + 0*v**7 - 1\/12*v**5 + 0 + 0*v**4. What is the third derivative of o(u) wrt u?\nAnswer: 120*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 28181 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from nyyyynyyynnn. What is prob of picking 1 n and 3 y?\nAnswer: 35\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand -5*v + 3*v + 4*v + 0 + 0 + 2*v + 4 - 2*v - 4 - 2 + v + 2 + (-v + v - v)*(2 + 2 - 2) + v + v + 2*v + 1865 + 156*v - 1865.\nAnswer: 161*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 870989 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 10 - 6. Suppose -d = -g - 2*c, -5*g - c + 23 = -6. Let w be (g\/(-9))\/(12\/(-90)). Solve 4*s = -4*q + 8, 0*q - w*s = -q - 22 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c*c**(-27)\/c)\/c)\/c**(2\/67)*(c**(13\/2))**(2\/35) assuming c is positive.\nAnswer: c**(-64859\/2345)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 10 and 102?\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 133187?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = -8*z**2. Let q(d) = 20*d + 16*d - 39*d. Determine q(r(f)).\nAnswer: 24*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 3 - -2. Suppose 0*n + 4*n = -4*u, 0 = h*n + 3*u - 10. Suppose -2*d = n*r - 79, -r + 34 = r + 2*d. Calculate the highest common factor of r and 120.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = -5*r**2 + 85*r - 18. Let o be z(17). Let s = o + 27. Sort s, -2, -1, -1\/6 in descending order.\nAnswer: s, -1\/6, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6 - 11 - 3 + 3*n - 27.\nAnswer: 3*n - 35","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -5 + 3.2. Let t = 2 + m. Which is the smallest value?  (a) 2  (b) -2  (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 12?  (a) 0.23011  (b) -1\/8  (c) 0.82  (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence hhy when three letters picked without replacement from ylllllhlhyhihhhllh?\nAnswer: 7\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 39*x + 11*x**4 - 51*x + 23*x wrt x.\nAnswer: 132*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 219310 and 1274?\nAnswer: 1535170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 359513479, 359513478, 359513477, 359513476, 359513475, 359513474?\n\"Answer: -m + 359513480","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h\/(h*h\/(h*h**(3\/2)))*h)**(-4\/7) assuming h is positive.\nAnswer: h**(-10\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = 7*w**2 - 284*w - 25792. Calculate z(-44).\nAnswer: 256","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*p - 11 = 49. Suppose m = -r + 3, -1 = -p*m + 10*m + r. Which is smaller: -17\/26 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = 1367*l**2 + 1. Is 36 a factor of i(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -6998 - -7041. Suppose -5*q - 698 = -2*x, -x - 2*q + 114 = -226. What is the greatest common divisor of j and x?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 858 is divided by 142.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 18\/5 of a litre in millilitres?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((n\/(n*n*(n\/(n**(2\/23)\/n)*n)\/n)*n\/(n\/(n\/(n**(6\/5)*n))))**49)**(-2\/47))**(10\/17) assuming n is positive.\nAnswer: n**(92708\/18377)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b + c = -2, -1 + 11 = 4*b - 5*c. Suppose -9533*t + 64 = -9517*t. Solve b = -5*d + o + 4, -o = t for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 7\/976223 or -1?\nAnswer: 7\/976223","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/17 in 166, 0.1, 2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -4203201 + -11311?\nAnswer: -4220012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1848 (base 10) to base 3.\nAnswer: -2112110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand -49*j**3 + 18*j**3 - 34*j**3 + (-13 + 13 - 19*j)*(-1 + 2*j**2 + 1).\nAnswer: -103*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -1641*q**5 - 412*q**2?\nAnswer: -98460*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 8106 and 94318.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*j + f + 4477, -3*j + 0*f = 2*f + 2689. Let l = 34 - j. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 1 - 1399?\nAnswer: -1398","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -19 divided by -5.\nAnswer: 19\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 22*v - 255 = 7*v. Solve -v = 4*k + 2*q + 1, 0 = q + 5 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*c + 1 - 6 = 0, -r - 2 = -c for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {n: 4, z: 4, k: 5}. Give prob of picking 2 z and 1 n.\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 5040178, 5040176, 5040174, 5040172, 5040170, 5040168?\n\"Answer: -2*s + 5040180","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is (-4)\/(-6)*(-2442)\/3256?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4.780827 centuries to decades.\nAnswer: 47.80827","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -202044 (base 6) in base 15?\nAnswer: -4b27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 420 + 3?\nAnswer: 423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -29 + 27. Let f be 5\/10 - 1 - 11\/x. Solve 0 = -2*k + f*t - 6, -2*k = -4*k + t + 2 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 25 + -16. Let q(j) = -j**3 - 2*j**2 - 5*j - 7. Let a(l) = 2*l**3 + 4*l**2 + 11*l + 15. Let w(i) = z*q(i) + 4*a(i). List the prime factors of w(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1680, 1692, 1710, 1734, 1764, 1800?\nAnswer: 1842","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 142889 + -324141532\nAnswer: -323998643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Convert -11001100011100100101 (base 2) to base 11.\nAnswer: -522185","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:04 AM and 5:22 PM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -375*x - 358 + 751 - 393 + 378*x.\nAnswer: 3*x","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + ((sqrt(80)*2 + sqrt(180)*6)\/(sqrt(810)*2*-3 - sqrt(810)))**2.\nAnswer: 4937\/3969","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = j + 13. Let d be c(-7). Let b(p) be the first derivative of 3*p**2\/2 - p - 3. What is the tens digit of b(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 14508 and 57564.\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 325128806 and 62.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*a = -3*m + 8, -m + 0 = 5*a + 4 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 7 + -5. Suppose -33 = -w - v - 2*v, -2*w = 2*v - 46. Calculate the greatest common factor of l and w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is one fifth of a century in months?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) be the first derivative of -1\/3*y**3 + 0*y + 5\/4*y**4 - 4*y**2 - 3. Let p(b) = b**3 - 2*b. Determine 9*p(z) - 2*x(z).\nAnswer: -z**3 + 2*z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2180609.\nAnswer: 1223, 1783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 584604 to the power of 1\/2, to the nearest integer?\nAnswer: 765","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is (-390)\/(-9) - 6\/(-9) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w = -d + 166, 5*d - 938 = -4*w - 126. Suppose 5*b - 236 = 2*o, -5*o + 80 = 2*b + 612. Let q = d + o. Is q a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -5.5 - -5. Let u = t - -1.5. Put 0.5, 1\/5, u in decreasing order.\nAnswer: u, 0.5, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -23*d + 11 + 35. Suppose 2*v + 26 = 5*i + 6*v, -i - 6 = -2*v. Suppose p - 1 + i = -y, p + 2 = -d*y. Sort y, -4, 32 in increasing order.\nAnswer: -4, y, 32","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1426, -1542, -1658, -1774, -1890, -2006?\nAnswer: -2122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -53, -63, -81, -107, -141, -183?\nAnswer: -233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1671.\nAnswer: 3, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 30 + 35*c - 70*c + 36*c to the form z*c + g and give g.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (4\/(-5))\/(4\/(-10)). Suppose q*l - 7*l = -10. Does 18 divide 86\/4 + l\/(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 135\/(-90)*30\/9?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = 5*j**3 - 7*j**2 + 190 + 143 - 367. Let k(x) = 8*x**3 - 15*x**2 - 69. Let n(c) = -4*k(c) + 9*v(c). Differentiate n(y) with respect to y.\nAnswer: 39*y**2 - 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -7 + 10. Suppose -s - 27 = -3*c + 2*s, -4*s = 0. What is the units digit of 22\/3 - h\/c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 149449 to the nearest integer?\nAnswer: 387","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-3)\/((-726)\/(-728)) + 3. Let v = -53\/8228 + f. Let x = v + -185\/136. What is the common denominator of 68\/3 and x?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -37*m + 12*m + 28*m = 186. What is the remainder when m is divided by (-3 + 9)\/(6\/8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -111000100110110001010 (base 2) to base 16\nAnswer: -1c4d8a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = -x + 16. Let w be i(12). Suppose 2*z - 21 = -4*u - 1, -w*z + 49 = -u. Solve -2*a + 2 = z for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 13046511, 13046510, 13046513, 13046520?\nAnswer: 13046531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 122 + -147 + (17 - -2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ln when two letters picked without replacement from llnl.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 5347, 21391, 48131, 85567, 133699?\nAnswer: 192527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 575 and 40?\nAnswer: 4600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4863849.\nAnswer: 3, 1621283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 24 and 22.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 47?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = y**2 + 17*y - 22. Calculate b(-18).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -4 - -4.5. Which is the smallest value?  (a) y  (b) 2\/5  (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 262 (base 13) in base 16?\nAnswer: 1a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 132 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is (2\/(-3))\/(2\/(-3))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -71 divided by 8\nAnswer: -71\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -5171187, -10342370, -15513553?\n\"Answer: -5171183*a - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from rrvrdorrrsssrrrvvs. Give prob of picking 1 d, 1 o, and 1 s.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = -f**2 - 12*f - 5. Calculate the remainder when 4 + -6*(-5 - 10\/15) is divided by a(-9).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.01052 and 16689.\nAnswer: 175.56828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 28675 and 666?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -7880, -7884, -7890, -7898?\n\"Answer: -z**2 - z - 7878","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1231112 and 1752.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = 6285*s - 100595. Determine o(16).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-18)\/(-4) + 3\/9*-3. Let s = w - 19\/6. Which is the biggest value?  (a) 2  (b) -1  (c) s  (d) -0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = -z**2 + 2*z. Suppose -16*h - 4 + 68 = 0. Suppose -h*x = -22*x + 108. Give i(x).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*q = 2*q + 2, 2*s - 3 = -q. What is the units digit of (609\/(-42))\/(s\/(-8))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5466 = -182*m - 188 for m.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -13354325 - 2?\nAnswer: -13354331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = -186*c + 44. Let j be i(-1). Let h = -226 + j. Solve 4*q = 3*w - h, -w - 32 = 3*w + 4*q for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 24894284 is divided by 135.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = x**2 + 3*x. Let l(r) = -2*r**2 - 7*r - 1. Let b(c) = 5*a(c) + 2*l(c). Determine b(3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = -f + 9. What is the remainder when 37 is divided by s(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: (4\/(-4))\/(30\/12)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1956379 is divided by 54254?\nAnswer: 3235","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:57 AM and 11:44 AM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) = 3*n - 5. Let l be d(5). Suppose -2*b + 0*b + l = 0. Let o = 9 - b. Solve h = o*h - 2*g - 13, 5*g + 30 = 5*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -147 divided by -4?\nAnswer: 147\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*v - 5*n = 2*v + 3553, 2*v = 5*n + 1779. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 660515 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.003122 rounded to 3 decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from iqqcqczcpqi. What is prob of picking 1 p, 1 i, and 1 z?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express -3*q**3 - q**3 - 3 - 4*q - 6*q**2 + 2*q - 2*q**4 + 7*q**3 as t*q**2 + u*q**3 + i + k*q + n*q**4 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (6\/(-18))\/((-1)\/(-3)). Find the common denominator of (-511)\/168 - g\/(-3) and 0 - 4\/(-10) - (-2002)\/495.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 429*x - 3560*x - 182888 = -433*x + 11368 for x.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 82*t**3*z - 3*t**3 + 2*t**2*z - 2*t**2 + t - 5977*z wrt t.\nAnswer: 492*t*z - 18*t + 4*z - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 430641 >= 40?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 128 is divided by 107.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let -4*g**4\/9 + 776*g**3\/3 - 45232*g**2\/9 + 51040*g\/3 - 143872\/9 = 0. What is g?\nAnswer: 2, 16, 562","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -18.485 - -23.485. Sort -4, 6, y, -12, 0.\nAnswer: -12, -4, 0, y, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-3*(sqrt(2736) + 1 + 2 - sqrt(2736))*1*3 + -2)*2 + 3)**2.\nAnswer: 3025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {e: 1, m: 1, b: 6, c: 1, v: 2, u: 5}. What is prob of sequence bcv?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 46257262 a multiple of 269?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 4668427, 9337063, 14005699, 18674335, 23342971?\nAnswer: 28011607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = m**3 + 17*m**2 + 16*m + 36. Let y be p(-15). Let i = y + -176. What are the prime factors of i?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 52 - 6 - 46 - (1 + 13\/(-12)). Let y(a) be the second derivative of 1\/8*a**4 + 0*a**3 - 1\/84*a**7 + 15*a + 0 + x*a**6 - 7\/40*a**5 + 0*a**2. Factor y(t).\nAnswer: -t**2*(t - 3)*(t - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -48.053 + 48. Let h = 0.047 - b. Let d = 1.4 - 1. What is the third biggest value in -1, h, d?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-5 - (-5 - -3)) + 4 + 1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = -h**2 - 9*h + 12. Let w be k(-10). Find the third derivative of 0*a**2 + 3*a**5 - 9*a**5 + 2*a**w wrt a.\nAnswer: -360*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 482 minutes after 4:02 AM?\nAnswer: 12:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is fifty-five halves of a millennium in decades?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3*l + 2*l - 2*l - 2*l + 0*l + 4*l + (l + 2*l - 2*l)*(-1 + 3 - 3) to x*l + b and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 20 + (4 - 3 - (-1 + 5))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = p**3 - 10*p**2 - 6*p. Let i be l(10). Let j(c) = 2*c**2 + 38*c - 31. Let u be j(-19). Let f = u - i. What is the remainder when f is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-6)\/92*36*20\/(-270)?\nAnswer: 4\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*t - 3*y - 21 = 0, -3*t - 7081 = y - 7087 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -d + 7. Let n = 4 + d. 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 y in -45*y**2\/2 - 138918*y - 18522 = 0?\nAnswer: -6174, -2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.06 + -0.34. Let k = r + 0.7. Which is the closest to -0.1?  (a) -0.4  (b) 2\/11  (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = 31*u. Let f(g) be the first derivative of 2*g**2 + 51. Determine r(f(o)).\nAnswer: 124*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n be -3*1*-3 - 1. Suppose -q = -d + 25, 3*d + 3*q - 93 = -d. Calculate the greatest common factor of d and n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 6 + (-4)\/2 + -1. Let r(t) = 5 - h - 2*t - 2. Let y(g) = 2*g**2. Give y(r(i)).\nAnswer: 8*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 320 is divided by 84?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -6 + 10. Suppose -2*t = -0*t + n - 21, 3*n = v*t - 37. What is the remainder when 29 is divided by t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:59 AM and 4:14 PM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 111*f + 95*f - 45*f**2 - 208*f.\nAnswer: -45*f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = -2*a + 4*l - 3, 4*a - 2 = -l. Let q(x) be the third derivative of x**6\/120 - x**4\/24 + x**3\/3 - 2*x**2. Let g be q(a). Solve -g*b = -0*b + 6 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 157739805 a multiple of 1215?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-93*c + 55*c - 56*c)*(-4*c + 2*c + c) + (3 + 0 - 2)*(0*c**2 + 2*c**2 - 3*c**2))*((3 - 4 + 3)*(-2*c + 0*c + 0*c) - 6*c + c + 4*c + 1 + c - 1).\nAnswer: -372*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = 3*g**2 - 6*g - 11. Let u(v) = -v**3 - 2*v**2 + 5*v + 10. Give 2*s(y) + 3*u(y).\nAnswer: -3*y**3 + 3*y + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5 + 5 + 23754*z - 12*z**2 - 23754*z.\nAnswer: -12*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z + 56 = 4*i, -6*z + z - 5*i = -60. Factor 0 + 2\/3*l**4 + z*l**2 + 16\/3*l + 4*l**3.\nAnswer: 2*l*(l + 2)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-4)\/(-144) - 2\/(-9). Factor 0 + 1\/4*n**3 - o*n + 0*n**2.\nAnswer: n*(n - 1)*(n + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = 22*h**3 - h**2 + 2*h - 1. Let m be i(1). Suppose 5*l = 3*a - 25, 7 = -4*a + 3*l + m. Let p = -1 + a. What is the third biggest value in 1, p, 1\/4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*((2*(sqrt(252) - sqrt(252)*-1 - sqrt(252)) + sqrt(252) - sqrt(252)) + sqrt(252)*-4 + 2))**2*2.\nAnswer: -3456*sqrt(7) + 72864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 408, -20, -452, -888, -1328, -1772, -2220?\n\"Answer: -2*w**2 - 422*w + 832","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -234.6  (b) 0.4  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -191 + 211. Calculate the least common multiple of 48 and o.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/17, 6\/11, 8 in ascending order.\nAnswer: 2\/17, 6\/11, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*q + q + 0 = t - 8, -64*t + 2*q = -314 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -1\/14, 3, -0.4, -6723, -8 in increasing order.\nAnswer: -6723, -8, -3, -0.4, -1\/14, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = g. Let i = -20 + 31. Let a(c) = -c + i*c - 6*c. What is a(p(b))?\nAnswer: 4*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = 5*a + 587. Is p(0) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1584534 divided by 42?\nAnswer: 37727","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 685963 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*a - a - 288 = 5*k, -170 = -2*a - 4*k. Suppose -991*f + 940*f = -1428. Calculate the highest common factor of f and a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = -17 + 9*n**2 - 2 + 23. Let g(x) = -9*x**2 - 3. What is -4*g(l) - 3*o(l)?\nAnswer: 9*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find g, given that 2162*g**2 + 10816*g + 30 = 0.\nAnswer: -5, -3\/1081","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*n + 20 - 5 = -2*d, 2*d = 5*n + 25 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*f + 5*f + 7*f - 7*f + 218.\nAnswer: 2*f + 218","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -790833 times 0.06?\nAnswer: -47449.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -27359  (b) -3\/17  (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 22 (base 7) in base 9?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify y**(-3)*(y\/y**(1\/4))\/y*y\/((y*y\/(y\/(y\/(y*y**(-3\/2))))*y)\/y)*y*(y*y**(2\/5)*y)\/y assuming y is positive.\nAnswer: y**(-47\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 857 + -1623. Let f = l - -117196\/153. Are 1 and f unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/6, 1, -0.044.\nAnswer: -1\/6, -0.044, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 80 - 44. Let t = -38 + z. Let u = 11 - 10. What is the second biggest value in u, t, 0.8?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = -q**3 + 19*q**2 + 5*q + 2. Let b(y) = -6*y**2 - 2*y - 1. Let i(n) = 7*b(n) + 2*h(n). Calculate i(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1341512171 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from kkkkjkkkkj. What is prob of picking 2 j?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -5412, -10742, -16082, -21438, -26816, -32222, -37662, -43142?\nAnswer: -48668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Work out 4 + 515062020938.\nAnswer: 515062020942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -28\/319 and 1\/605114.\nAnswer: 6656254","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 5.62 - 4.62. Let x(k) = -k**3 + k**2 - 6. Let g be x(0). Which is smaller: g or q?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 33581271?\nAnswer: 3, 67, 167071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 39*((-3 - -6) + -2). Let b = z - 321. Let q = 548 + b. What is the tens digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ypkpkvpvpgigvivpkkvi. Give prob of picking 1 v, 1 y, and 2 k.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -1183*k + 8271 wrt k?\nAnswer: -1183","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 912 and 20863536.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) be the second derivative of 2*x**3 + x**6 + 0*x**5 + 1\/12*x**4 - 83*x + 0*x**2 + 0. Find the third derivative of b(q) wrt q.\nAnswer: 720*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 82 a factor of 19946?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0*q**2 + 2*q**3 - 2 + 9*q**2 - 5*q**2 to x*q**3 + z + w*q**2 + c*q and give w.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 193017*k - 509 = -465*v + 193019*k, 2*k + 46 = 2*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 19 - 388*l**2 + 2 + 0 + 3 - 24 + 384*l**2.\nAnswer: -4*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 16485 a multiple of 167?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 1161, 2074, 2845, 3480, 3985, 4366, 4629?\n\"Answer: h**3 - 77*h**2 + 1137*h + 100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -138430 - -25194355\/182. Let k = a - 2\/91. Sort 0.3, 4, k in decreasing order.\nAnswer: 4, k, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 113468087 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = -4*k**2 - 2*k. Let q = -961 - -960. Let w(a) = a**3 + 4*a**2 + 3*a - 2. Let c be w(-3). Let n(i) = i**2 + i. Determine c*n(b) + q*v(b).\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 + 3 + 3 + (36 - 23) - (14 + -14)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 217943995?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 29 a factor of 998288?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Does 3 divide 409303?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.5 times -4364?\nAnswer: 6546","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 64499069071 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 + (1 - (-3 - -11 - 6)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*m**5\/7 - 12*m**4\/7 - 18*m**3\/7 - 8*m**2\/7 = 0.\nAnswer: -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 2193 and 645?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = -m**2 - 9*m + 13. Let b be (-85)\/10 - 2\/4. List the prime factors of y(b).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 368\/21 - 110\/30 - 10.\nAnswer: 27\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19 = -4*y - 1. Let l(w) = w**2 + 4*w. Let s be l(y). Let a = -1618 - -1620. Solve -a*g = 3*h - s, 7*g - 4*g = -2*h + 5 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = -h - 1. Let z(b) be the first derivative of b**2\/2 + 6*b + 3. Let i(s) = f(s) - z(s). Calculate i(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*n - 58 = 74. Let j be -3*(-8)\/(-12) + 5. Calculate the greatest common divisor of n and j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-302 - 15*o + 302)*(62*o - 23 - 44 - 34*o - 98 - 32*o) to the form b*o**2 + m*o + u and give m.\nAnswer: 2475","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 5 - -4069?\nAnswer: 4074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 478*y**3 + 660*y**3 - 25 + 7 + 1411*y**3 + 16 to the form j*y + i*y**3 + z*y**2 + t and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) be the second derivative of -2\/3*y**4 - y**5 + 16\/3*y**3 - 2\/15*y**6 + 0*y**2 - 90*y + 0. Factor k(s).\nAnswer: -4*s*(s - 1)*(s + 2)*(s + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: (18\/(-3))\/(158\/711)\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i*i**(1\/2)*i)\/((i\/(i\/(i\/(((i*i**0)\/i)\/i))*i)*i)\/i)*(i**(-7)\/i)\/i*i*i*i**(-6)*i*((i**(-2)*i)**(-3\/23))**(-7\/6) assuming i is positive.\nAnswer: i**(-245\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 6a + -2?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 13618220 a multiple of 91?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 27 + -26. Let b(y) = 31*y - 32*y - o - 1 + y**3. Determine b(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 20?  (a) 0.3  (b) -0.14  (c) 3\/8  (d) 680  (e) 4\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express -6 - 19*v**2 + 2 + 4 in the form k + n*v**2 + i*v and give n.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round 401850.6602 to the nearest one hundred thousand.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 1.9 and 3.663?\nAnswer: 6.9597","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 99\/8 and 3\/20.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Express 7*t**2 + 2*t**3 - 2*t**3 - 2*t**3 - 2*t**2 in the form b*t + z*t**3 + r + i*t**2 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1417*t = 1365*t + 936. Solve 4*g = -12, 4*x - t = -x + g for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 24174182?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*z - 5*z - 154 = 1582. Calculate the smallest common multiple of 32 and z.\nAnswer: 992","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = -w. Suppose 3*g = -2*g. Suppose g*s - 16 = -4*s. Let f(u) = -1 - s*u + 5 - 4. Give f(t(x)).\nAnswer: 4*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -53396705, -106793410, -160190115?\n\"Answer: -53396705*m","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 11 a factor of 22495?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Put 4198, 5, -1, -2 in ascending order.\nAnswer: -2, -1, 5, 4198","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 28598671169 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.069 in -5, 5, 2, -39?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4878 is divided by 102.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (6\/(-68))\/(22\/8*(-106)\/(-583))?\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0 + 3. Let q(p) = 2*p - 5. Let b be q(v). Calculate the common denominator of 37\/(-9)*b*-1 and -41\/2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*f + 4*f + 2441*f**3 - 1213*f**3 - 1222*f**3.\nAnswer: 6*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 69*0.2.\nAnswer: 13.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 1663 a multiple of 95?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 60316 divided by -30?\nAnswer: -30158\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-52)\/(2 - 6))\/((-2)\/(-8)). Let v = -59 - -839. Calculate the greatest common divisor of d and v.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 37343519.\nAnswer: 59, 632941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 != -4\/14913?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 47*q - 139*q + 138*q - 173*q.\nAnswer: -127*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(132) - -6*sqrt(132)*-2) + sqrt(132) + sqrt(132))\/(sqrt(48)\/sqrt(4)*2).\nAnswer: -9*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence zzj when three letters picked without replacement from {j: 5, z: 2, l: 11, b: 2}?\nAnswer: 1\/684","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 2110837048.3 rounded to the nearest one million?\nAnswer: 2111000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:19 PM and 9:33 PM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 4*n**2*r**2*y**4 + 2*n**2*r**2 - 5*n**2*r*y + 2*n**2*y - 27*n*y**4 - 4*r**2*y**2 wrt y.\nAnswer: 96*n**2*r**2*y - 648*n*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 219872025491 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find n, given that n**2\/9 - 1229*n\/9 - 24980\/9 = 0.\nAnswer: -20, 1249","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -41 = -4*k - 9. Let w(l) = k*l + 3 - 3 - 6*l - 4. Let s be w(7). What is the greatest common divisor of s and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) be the first derivative of 1\/20*j**4 - 1\/10*j**2 + 0*j + 1\/25*j**5 - 6 - 1\/15*j**3. What is q in m(q) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 481 minutes after 8:16 AM?\nAnswer: 4:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 88584983?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(147) - (sqrt(147) + -1)) + 3 + 3 + 4*((sqrt(75) + -3 - sqrt(75)) + -5))**2.\nAnswer: 625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 532 minutes after 3:46 PM?\nAnswer: 12:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1 - 0. Let x(d) = 2 + 10*d**2 + h - 3. Let a(v) = -v + 84. Let l(m) = m - 72. Let q(o) = -6*a(o) - 7*l(o). Calculate x(q(t)).\nAnswer: 10*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (17*(-204)\/(-578))\/(-15)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s - 7 = 4*b, 4*b = s + s - 2. Let y = s - 4. Let t = y + 4. Solve t*r = r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (3332\/(-1428))\/((-5)\/3).\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express 235 - q + 0*q - 404 in the form m*q + v and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2 + (-2 - -1) + 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 5.4 - 5. Let g = a + -0.5. Let j = -1\/136 - -413\/680. What is the biggest value in g, 1\/7, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 3\/50 of a century?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.14 + 12.14. Let j = -9 + h. Put j, -4, -0.2 in decreasing order.\nAnswer: j, -0.2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1655 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 4, -45, 3, -1?\nAnswer: -45","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -136501 - -98963258\/725. Calculate the common denominator of k and 39\/1160.\nAnswer: 5800","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 8 - 12. Let d be g\/(-10) - (-35)\/(-25). What is the nearest to d in -4, 0.5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 1498926 and 681330.\nAnswer: 7494630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*l + 16 = 0, 5*y + 35 = -15*l + 26*l - 33*l - 73 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = -83*i + 3571. Let k be a(43). Solve 0 = -2*c - 6*n + 14*n + 40, 3*c - 4 = -k*n for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -34.12, 0.0343, 2\/15?\nAnswer: -34.12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.3?  (a) 80\/3  (b) -706  (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = g**2 + 4*g + 1. Is 5 a factor of p(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0*2723.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 3954 and 686678?\nAnswer: 1318","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find a, given that 24*a**4 - 9482*a**3 - 178586*a**2 + 411428*a - 33040 = 0.\nAnswer: -20, 1\/12, 2, 413","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence qw when two letters picked without replacement from {z: 2, w: 4, q: 8, b: 1}.\nAnswer: 16\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) = -b**3 - 9*b**2 - 10*b - 10. Let k be n(-8). Suppose 0 = 5*g - k*g + 4760000. What is g rounded to the nearest one million?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) be the third derivative of -7*b**4\/24 + 4*b**3\/3 + 298*b**2 + 11*b. Let n(v) = 0 + 6 - 10*v + 6. Calculate 7*a(o) - 5*n(o).\nAnswer: o - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*v - 16 = -6. Suppose 5*q - 4*f + 24 + 35 = 0, -3*f + 58 = -5*q. Sort 4, q, v.\nAnswer: q, v, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -5*o**2 + 4*o**2 - o**2 + (6*o - o - 3*o)*(0*o + 0*o - 2*o) + (-4*o**2 + 0*o**2 - 2*o**2)*(-1 + 6 - 3) as s + n*o**2 + r*o and give n.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 703, 1344, 1985?\nAnswer: 2626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -1437 - 0.3?\nAnswer: -1437.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 4 + (0 - 10) + (-2 - -3)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = 5*a. Let o(n) = -1560*n**2. Give c(o(h)).\nAnswer: -7800*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Does 212 divide 5178940?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = i**2 - 17*i - 117. Does 39 divide b(24)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 91657 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 9561077 and 82?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = -h + 4. Let x be (-8)\/12*(-6)\/1. Let d be g(x). Suppose d*m + 4*m = 20. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o + v - 5 = 0, -5*v + v - 40 = 2*o. Find the common denominator of (-46)\/o + 3 + 0 and -51\/11.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + (-2 + ((sqrt(1872)*-4)**2 + 3 - sqrt(1872)) - ((0 + sqrt(1872)*-5)*-2)**2).\nAnswer: -157251 - 12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = 5 + t + 4*t - 4*t. Let d(i) = -2*i - 14. Let u(y) = y**3 + 1. Let l be u(-1). Suppose l*p + 2*p + 16 = 0. What is p*v(h) - 3*d(h)?\nAnswer: -2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -1216, -1442, -1754, -2146, -2612?\n\"Answer: r**3 - 49*r**2 - 86*r - 1082","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (46\/8 - 5)\/(3\/84). Let w be (-2 - -1)*(-6 + 0). Let r be (11 - 7)*w\/8. Solve 6 = r*q + c for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = w**5 + w**3 + w + 1. Let g(l) = 15*l**5 - 5*l**4 + 25*l**3 + 5*l**2 + 20*l + 20. Let x(t) = -g(t) + 20*m(t). What is f in x(f) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.494, -4\/5, -3\/5 in decreasing order.\nAnswer: 0.494, -3\/5, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 705861057.\nAnswer: 3, 11, 21389729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Does 89 divide 17247?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -9.61 - -10.01. What is the fourth biggest value in 5, g, 4\/37, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n**2\/3 - 106*n\/3 - 4189 = 0. Calculate n.\nAnswer: -71, 177","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -17.3 - 1.7. Let n = f + 18. Sort -3\/5, n, -1\/6 in ascending order.\nAnswer: n, -3\/5, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1581645227 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 7*v + v + 584. Find the common denominator of (4\/8*v)\/(63\/14) and 2\/(-7)*15\/2.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 722802947 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = -4*c - 3*c + 24 - 27 + 5*c - 5*c**2 + 5*c. Let m(o) be the second derivative of o + 7\/6*o**4 + 0 + 4*o**2 - 4\/3*o**3. Calculate -8*h(z) - 3*m(z).\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 84352267 divided by -119989?\nAnswer: -703","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = 10*i**2 - 8*i - 81. Let r(t) = -48*t**2 + 40*t + 410. Let y(a) = 14*k(a) + 3*r(a). Factor y(g).\nAnswer: -4*(g - 6)*(g + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 17 - 18 - (-1 + 3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 24\/9 + (-4)\/6. Let k(h) = -33*h + 6. Let r(v) = -2*v. Let s = -72 + 73. Let x(n) = s*k(n) - 15*r(n). Let y(t) = 4*t - 7. What is u*y(p) + 3*x(p)?\nAnswer: -p + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -4.929 rounded to one dp?\nAnswer: -4.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + (1*((-3*sqrt(28))\/sqrt(2) + sqrt(14)))\/((sqrt(4)\/sqrt(2)*-5 - sqrt(2))*1).\nAnswer: -4 + sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Does 187 divide 554580290?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 1222, 9633, 32474, 76963, 150318, 259757, 412498?\n\"Answer: 1203*t**3 - 3*t**2 - t + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 528150 less than or equal to 3697048\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 374?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 3911017763 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 3.8?  (a) -2\/29  (b) -0.1  (c) -6.1  (d) 1\/2  (e) 13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) be the second derivative of -q**4\/12 + 2656*q. Let z(d) = -3*d**2 + 15. Determine z(x(p)).\nAnswer: -3*p**4 + 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*w + 1 = 13. Let j(q) = q**2 + w - 6*q - 2 + 2. Suppose -2*f + 2*v = -3*v - 10, -2*v - 10 = -2*f. Give j(f).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -4*w**5\/7 + 24*w**4\/7 + 96*w**3\/7 + 104*w**2\/7 + 36*w\/7 = 0. What is w?\nAnswer: -1, 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*h**2 - h**2 + h**2)*(-h + 5*h - 2*h + 8).\nAnswer: -4*h**3 - 16*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) be the third derivative of -j**4\/4 + 31*j**3\/6 + 1028*j**2. Give w(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000393826 rounded to 4 decimal places?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 5995\/2 + -2929. Which is smaller: l or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*n + 9*h = 4*h - 30, 5*h + 15 = -n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o**4\/10 + 478022*o**3\/5 - 2868144*o**2\/5 + 5736296*o\/5 - 764840 = 0. What is o?\nAnswer: -956050, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -1322110301001 - -31?\nAnswer: -1322110300310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u**(1\/3))**(-41))**(-14) assuming u is positive.\nAnswer: u**(574\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 743, 742, 741, 740?\nAnswer: 739","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l**5 - 153675*l**4 + 5902080024*l**3 + 147644373700*l**2 + 141742140000*l = 0. Calculate l.\nAnswer: -24, -1, 0, 76850","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort -340, 5, 0, 90, -2, 1010 in increasing order.\nAnswer: -340, -2, 0, 5, 90, 1010","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*r = -0*r + 2*n + 6, 361*r = 363*r + 5*n - 13 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1510744?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 31850 and 3835.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of c**3*m**3*n + 2*c**3*m**3 - c**3*m - 140*c**2*m**3 + 3*c**2*m**2*n + 2*c**2*m**2 + 24*m*n wrt m.\nAnswer: 6*c**3*n + 12*c**3 - 840*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = -1 + 2*w + 5*w**2 - 3*w**2 + w. Let z be h(-3). Solve -2*g - z = 2*m, 5*g - g + 2*m = -18 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 107578746 and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is (5 + -1)*(-32)\/((-704)\/(-33))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 7424270*s*x**3 + s*x - 1637008*x**2 wrt x?\nAnswer: 44545620*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange o**2 - o**2 - 3*o**2 - 10*o**2 - 136*o**2 - 193*o**2 + (6 + 11*o - 6)*(-2*o + o + 3*o)*(2 - 5 + 5) to the form t*o**2 + m + l*o and give t.\nAnswer: -298","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = 242*h**2 + h**3 + 8*h - 236*h**2 - 2 + 2 + 4. Let w be y(-4). Solve 3*f = w*x - 5, -6 - 8 = -4*f - 5*x for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*p + 3*p - 4*p)*(0*p**2 - p**2 + 0*p**2) - 11 - p**3 + 11 - p**3 + 3*p**2 - 3*p**2 + (-p**3 + p - p)*(-5 + 3 + 0).\nAnswer: -2*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: (-54)\/1755*-26*(-10)\/188\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {b: 4, d: 4, n: 3, e: 3, o: 3}. Give prob of sequence dbno.\nAnswer: 3\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 z when four letters picked without replacement from zzmzmzzzz.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-612)\/(-27) + -22)\/((-2)\/(-36) - 0)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 330750 and -0.01?\nAnswer: -3307.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -10 divided by -866?\nAnswer: 5\/433","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express 15 - 16*d**2 - 4*d**2 + 8*d**2 + 36*d**2 in the form u + f*d**2 + j*d and give u.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*m - 2*a + 20 = -7*a, 0 = 5*m + 2*a + 8 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (16624*d**2 - 33229*d**2 - 5555*d**3 + 16605*d**2)*(0*d**2 + d**2 + 0*d**2).\nAnswer: -5555*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 538 and 77133060?\nAnswer: 538","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence fsks when four letters picked without replacement from {f: 6, c: 1, s: 3, k: 2}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*l - 4*l - 26. Let u = l - -37. Factor 96*i**2 + 180*i**3 + u*i + 92*i**4 + 8*i**4 + 5*i.\nAnswer: 4*i*(i + 1)*(5*i + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 2103927 and 20748?\nAnswer: 399","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 1100160 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -170 or -56?\nAnswer: -56","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*-4*(-2*(sqrt(833) + sqrt(833) + 3*sqrt(833)) - -2*(0 + sqrt(833))).\nAnswer: -1344*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = -2*a**2 - 22*a + 55. Let p be k(-13). Suppose -33*o + 38*o - 5*l - 52885 = 0, -31733 = -p*o + 2*l. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = -56*q - 3769. Give f(-70).\nAnswer: 151","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 365 + -5?\nAnswer: 360","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 24\/60*(-20)\/(-60)*(-3)\/(-2)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of (0 - (-2)\/18) + 3080\/792 and 220?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = 7*c**3 - c**2 - 2*c - 70. Let h(p) = -11*p**3 + 3*p**2 + 3*p + 105. Calculate 8*f(o) + 5*h(o).\nAnswer: o**3 + 7*o**2 - o - 35","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 369 is divided by 194?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Does 11 divide 38324?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = -8*u + 0*u + 7 + 16*u - 10*u. What is f(5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00216833595 to six dps.\nAnswer: 0.002168","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 66*s - 42*s + 51*s + 1347 = -1503 for s.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -20*x**3 + 42*x**3 - 26*x**3.\nAnswer: -4*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 154990 is divided by 59?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 16 + -3. Let l = x + -14. Let c(y) = -y**3 + 1. Let b(q) = 6*q**3 - 4. Calculate l*b(g) - 4*c(g).\nAnswer: -2*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = -q**3 - 7*q**2 + 7*q - 8. Let x be r(-8). Suppose 5*h + 4*z - 100 = x, -h = 2*h + 5*z - 47. Solve -3*o + 11 = -0*o + 2*w, 4*o = 2*w + h for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 54 - -59. Let r = p + 560. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = 5*f**3 + 2*f**2 + 3*f + 2. Let y be u(-2). Let v be -1 + 0 + 0 + (-1)\/(-1). Is 6 a factor of (5 - v)*y\/(-30)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 2c0b5 - -7?\nAnswer: 2c0bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4 + -7 - 17 - (-4 + 3 + 13)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 2 a factor of 469?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x + 4*x - 2 = 0. Let i be (2 - (x - -3))\/1. Let m = 9 + i. List the prime factors of m.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 5\/17 in 3, -131, -1\/4, 4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 406\/231*(1 + -5 + 3) and -41\/99.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -33*b**3 + 7 + 9*b**3 + 0*b**3 + 12*b**3 wrt b.\nAnswer: -36*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 7 - (-1 - ((-2 - 2) + 4)). Suppose -50 + 18 = v*y. Is y at least -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*n + 4*v - 40, -2*v + 22 = 2*n - 2. Suppose 2*y + n = 0, -3*y = -2*t - 0*y + 20. Solve -4*l - 4*h + 6 = -6, t*l - 3*h = -2 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = -113*w**2 - 18*w - 9. Let y be c(-9). Let g be (426\/5)\/((-63009)\/y + -7). What is g rounded to the nearest 10000?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 924 and 14.\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*b + 17*l - 18*l = 10, -5*l - 2 = b. Suppose r = -3*r + b*i, -5*r = -3*i. Solve j + r*j = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {y: 3, z: 9}. What is prob of picking 2 z?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-996)\/1162*1015\/(-30).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 1 - y**5 + 3)*(-2463 + 1148 + 1143).\nAnswer: 172*y**5 - 516","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 - 4 + 7)*(-2 + 0 + 0)*(3 - 5 - 1 + 3 + 0 - 1 + (1 - 4 + 1)*(-2 + 0 + 3) - 2 + 2 + 2)*(-5*q**3 + 3*q**3 + 0*q**3).\nAnswer: -28*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: (-9 - -10 - 6 - -18) + (-1 - -10)\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 54 and 8712.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 1934\/(-38) + (-13 - 9\/((-2394)\/3430))?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 333348 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = 6*k**5 + 15*k**3 + 15*k**2 + 9*k - 15. Let g(z) = z**5 + z**3 + z**2 - 1. Let v(w) = 15*g(w) - j(w). What is the second derivative of v(o) wrt o?\nAnswer: 180*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 213300 (base 4) to base 8.\nAnswer: 4760","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 641*-42630.1\nAnswer: -27325894.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 1266600 to the power of 1\/2, to the nearest integer?\nAnswer: 1125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p + 0*p + 22 = 5*j, -8 = -p - j. Suppose p*c = 31 - 13. Suppose c*q - 2*q = 28. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3385920 rounded to the nearest 1000000?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j - 2*f - 4 = -0, -3*j - f = 0. Is 3 a factor of (j - (-5)\/1)\/1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 149440151 and 145285.\nAnswer: 747200755","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or -12661.6?\nAnswer: -12661.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -1484*m**2*u**4 + 24*m**2 + 4*m*u**5 + 12*u wrt u.\nAnswer: -17808*m**2*u**2 + 80*m*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -57\/306800 and -37\/767000.\nAnswer: 1534000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j - 16462 = 2*j. Let o = j - 15567\/2. Let x = 3569\/8 - o. Do x and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) be the second derivative of -v**7\/9660 + v**6\/828 - 7*v**5\/1380 + v**4\/92 + 92*v**3\/3 - 170*v. Let q(c) be the second derivative of n(c). Factor q(l).\nAnswer: -2*(l - 3)*(l - 1)**2\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + (sqrt(450)*1)\/((-1*sqrt(99))\/sqrt(11)) + (sqrt(450)*2)\/sqrt(9) + (sqrt(1152)*-1 - sqrt(18))**2.\nAnswer: 5*sqrt(2) + 1456","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 30433 in -9, 4\/7, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*x**2 + 1 - 244*x**3 + 2 - 2 + 186*x**3 as a + r*x + s*x**3 + y*x**2 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 12181680 to the nearest integer?\nAnswer: 3490","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Convert c89e0 (base 15) to base 11.\nAnswer: 3a5430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 286485 or 286483?\nAnswer: 286485","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 180622652 and 2492?\nAnswer: 2492","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000004311 rounded to six dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*d + 811 - 775. Let s be 14\/6 + 4\/6. What is the greatest common divisor of s and d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = 2*w + 1. Let j be t(-1). Let m = 33\/7 - 34\/7. Which is smaller: m or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -52027\/21 + 2477. Which is the biggest value?  (a) j  (b) 2  (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 10170 to the power of 1\/2, to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9 - 15 = 6*v. Let g be 5 - v\/(-12)*-3. Solve -3*r - g = 0, -3*r - 2 - 3 = m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1 - 7. Let h = x - -1. Let g(y) be the second derivative of y**3\/6 + 3*y**2 + 2*y. Calculate g(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 7 + -5. Let i(n) = -4*n**3 - n**2 + n - 1. Let m be i(1). Which is the nearest to r?  (a) 2\/7  (b) -1\/6  (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {m: 2, y: 1, w: 2, i: 1, j: 1, v: 2}. Give prob of sequence vwm.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 239 is divided by 41?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k = -4*c - 23, 8*k = -c + 4*k + 4. Let n be 2\/(-24)*3*c. Solve -2*f + 16 = n*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be -7*((-5792)\/224 - -25). Let y be 6\/(-21) - (-106)\/28. Factor -y*m**3 + 0 + t*m**2 + 2*m.\nAnswer: -m*(m - 2)*(7*m + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -8*j*y**2 + 896*j + 22*y**3 wrt y?\nAnswer: -16*j*y + 66*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q + 175 = -5*r, 29*q - 3*r = 33*q + 785. Let g = q - -215. What is the highest common divisor of 30 and g?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -160854 >= -160854?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*v + 235 = -3*v. Let k = -72138 + 72231. What is the remainder when k is divided by v?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -33879 + 11b?\nAnswer: -3375c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 4086 (base 11) in base 13?\nAnswer: 260a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = -11*k**2 - 3181*k - 9510. Give x(-3).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = 6*h**2 - 3*h**3 + 6 - 3*h + 2*h**3 + h. Let a(v) = -3*v**2 - 114*v + 6. Let j be a(-38). Calculate p(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-15)\/(-4 - (1 + -4)). Let c = -4227 - -4229. Sort o, 4, c in descending order.\nAnswer: o, 4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) be the second derivative of -11*z**3\/6 - z. Let s be 12\/(42\/(-7))*-2. Suppose s + 16 = -20*v. Give o(v).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = -s**3 + 6*s**2 + 7*s - 51. Determine j(5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 15793\/51 - 1\/((-6)\/(-4)).\nAnswer: 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.9095697 years to decades.\nAnswer: 0.09095697","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 46*j - 126*j + 27*j + 761 + 50*j.\nAnswer: -3*j + 761","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Convert 26.24483 minutes to seconds.\nAnswer: 1574.6898","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*u + 0*u - 3*u)*(1823*u**4 - 33186*u**3 + 33186*u**3).\nAnswer: -1823*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(119)*-1)\/sqrt(7) + ((sqrt(153) + -2*sqrt(153))\/sqrt(9) + sqrt(17))**2.\nAnswer: -sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 419630.\nAnswer: 2, 5, 29, 1447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (3 + -9)\/3 - 124. Let x = 128 + q. Calculate the remainder when 10 is divided by x.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4044567.758 rounded to the nearest one thousand?\nAnswer: 4045000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -3518.639 + 3515.658821. Let n = 2.98 + l. What is n rounded to five dps?\nAnswer: -0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = a**2 - 2*a + 118. Let q be 6\/27 - (-6)\/(-27). Calculate the remainder when p(q) is divided by ((-192)\/(-1 + -7))\/(2 - 1).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"}
{"text":"Question: Expand (2*c - 5*c + c + 2*c - 2*c - 2*c + (3*c + 3*c - 7*c)*(1 - 1 + 2) + 4*c + 2*c - 5*c + 0 + 0 + 2*c)*(21 + 22 + 0).\nAnswer: -129*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*t - 4*t - 20. Let u = t + 15. What is the greatest common factor of 5 and u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*k + 2*k - k)*(-6*k**2 + 2*k**2 + 2*k**2) + k**2 - k**2 + 2*k**3 - 555 + 555 + 110*k**3.\nAnswer: 114*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 11 a factor of 122884?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -630, -629, -628, -627, -626, -625?\n\"Answer: g - 631","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000159771516 to five dps.\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -11 + 7 - (-142 + 7 - (-3 - (6 + 1)))\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 106560 divided by -740.\nAnswer: -144","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = -k**2. Let o = 96 + -90. Let g(s) = -29*s - 22*s - o*s - 2 + 9*s. What is z(g(t))?\nAnswer: -2304*t**2 - 192*t - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-29113)\/(-560) - 78\/(-6240).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 131267907 to the power of 1\/3, to the nearest integer?\nAnswer: 508","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Convert -3 (base 4) to base 9.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.001266312 to four decimal places.\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 8491787 to the power of 1\/3, to the nearest integer?\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 18\/40 + (-2)\/10.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -58 = -5*p + 47. Let f(w) = w**2 - 21*w + 3. Let m be f(p). Solve -4*k = -17 - m for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = -7*o - 1. Calculate i(4).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = 2*v**3 + 17*v**2 + 10*v + 8. Let d be y(-8). Which is the smallest value?  (a) -5  (b) d  (c) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 554 - 483343?\nAnswer: -482789","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.1 * -54.9272.\nAnswer: -5.49272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence bib when three letters picked without replacement from {d: 2, i: 4, b: 3}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) be the first derivative of 2*s**3 - 4*s + 4 + 1\/4*s**4 + 3*s**2. Give g(-5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = 7*k**2 + 10578*k + 105837. Calculate u(-10).\nAnswer: 757","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = 15*q**2 - q - 2. Let n(u) = 76*u**2 - 6*u - 11. Let m(a) = 11*l(a) - 2*n(a). Suppose -78*c = -89*c - 11. What is m(c)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 115 a factor of 53469?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 13.24653 centimeters?\nAnswer: 132465.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = -r**3 - r**2 - r + 4. Let q be n(0). Let c(a) = a**3 - 4*a**2 + 4*a + 4. Let b be c(q). Suppose -3*w + b = -16. What are the prime factors of w?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = -i**3 + 6*i**2 + 27*i - 84. Calculate the remainder when 275 is divided by b(7).\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1141 (base 8) to base 9\nAnswer: 746","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 u and 1 p when three letters picked without replacement from {p: 15, u: 3}.\nAnswer: 15\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = -2*o**3 - 67*o**2 - 34*o - 41. Let r be q(-33). Which is the third biggest value?  (a) 1  (b) 7  (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 2 + t**3 - 827714*t**2 + 827712*t**2 + 18*t - 3*t**4 + t**4 as o*t**2 + l*t**4 + y*t + f*t**3 + b and give y.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 18281 is divided by 24.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 1\/(3 + -4 - 0). Is d\/(-2)*(-2 + 108) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.4079 to one decimal place.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 21*k - 10*k - 13*k**2 - 5*k + 179*k**3.\nAnswer: 179*k**3 - 13*k**2 + 6*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 41\/21 - (102\/119)\/(12\/4).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 5 - -1 - (-51 + 57)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -94 - -187. Let l be j\/4 - 9\/36. Suppose -3*k = 4*o - 9*o - 27, -5*k + l = -o. Solve -k*w = -6*w - 8 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -21551 - -432622?\nAnswer: 411041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 47 = -4*i + 195. Let s = -62 - -63. What is the smallest common multiple of i and (0 - 1)\/(s\/(-2))?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) be the first derivative of q**3\/3 + 8*q**2 + 2*q - 721. Give o(-5).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from xxbxwbbxbbxbxbxxwxxx. What is prob of sequence wxb?\nAnswer: 77\/3420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0 - 3 - 2*x - 1 - 2 + 2*x + 2 + (x - 1 + 1)*(0 + 2 - 1).\nAnswer: x - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -v**4\/8 - 61*v**3\/4 - 3841*v**2\/8 - 915*v - 450 = 0.\nAnswer: -60, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = -l**3 + l**2 - 8*l - 1226. Let v be j(0). Let a = v - -2725. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = 5*m + m + 281 - 174 - 139. What is h(7)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j + 364 = -0*j. Let f = 130 + j. Let a be (-84)\/(-39) - 6\/f. Solve -5*y - 2*o + 0 - 11 = 0, 3*y - 3 = a*o for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -117 - -119. Let m = -1433 + 1435. Solve w = m*o, 7 = -5*j - o - 2*o for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -40784\/18673 at most as big as -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -13 - -8 - (-1 - 9).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 2  (b) 5  (c) 4121  (d) 0  (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -257 + 260. Suppose 0 = -n - w*j + 10, j + 0*j = -5*n + 36. Let r(d) = d - 2. Determine r(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-n + 7*n - 3*n)*(35 - 28 + 75).\nAnswer: 246*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 125 a factor of 627531249?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 52*w + 54*w + 44*w - 147*w.\nAnswer: 3*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Does 13 divide 90981?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -5.733705 rounded to the nearest integer?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -3?  (a) -2  (b) -0.2  (c) -8  (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7 + 5 + 857*n - 859*n.\nAnswer: -2*n + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 139460996?\nAnswer: 2, 17, 120641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Do 108 and 235040 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = l. Let m(d) = -1691*d - 4. Calculate m(b(g)).\nAnswer: -1691*g - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 25 + -218\/9. Let l = 2.3 - 4.3. Which is the biggest value?  (a) j  (b) l  (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2 + 4 - (-10 + 12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 66 times 0.3?\nAnswer: 19.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 2\/85 - 184\/595. What is the nearest to -0.1 in h, 2\/7, 1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w + 3*v = -1, -v = -5 + 4. List the prime factors of 2114\/(-35)*-1 - w\/(-10).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -14*g**3 - 5*g**6 + 14*g**3 + 11*g**2 wrt g?\nAnswer: -600*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -15.102 >= -2\/45?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*q = 5 + 5. Suppose 914 = -4*d + 18. Let l be d\/(-10) + (-8)\/20. Solve -l = 4*u - q for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 381.7 - 382. Which is the fourth smallest value?  (a) 0.3  (b) p  (c) -1  (d) -4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.8685016741 - 1.\nAnswer: -1.8685016741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 10882 to the power of 1\/4, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Factor d**3\/8 + 743869*d**2\/8 + 17290839675*d - 795477004767\/2.\nAnswer: (d - 23)*(d + 371946)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Factor -f**3\/7 + 8415*f**2\/7 + f\/7 - 8415\/7.\nAnswer: -(f - 8415)*(f - 1)*(f + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 892997107 to the power of 1\/4, to the nearest integer?\nAnswer: 173","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = 2*o + 4. Let h be c(-4). Let k(q) = -2*q + 1. Calculate k(h).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2989711 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -260, -531, -788, -1025, -1236, -1415, -1556, -1653?\n\"Answer: k**3 + k**2 - 281*k + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*(sqrt(17) + -2) + sqrt(17) + -1*sqrt(17) + 4.\nAnswer: 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 145437 (base 10) to base 9.\nAnswer: 241446","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*x = 9*c - 11*c + 36, 4*c - 90 = -2*x. Let t be 4\/c*(7 - 1). Is -1\/217 < t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-6)\/(-10))\/(26\/130). Suppose -k*n + 389 + 472 = 0. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:38 PM and 2:14 PM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = -2*v**3 - 31*v**2 - 93*v - 4. Let m be y(-4). Which is the second smallest value?  (a) -1\/3  (b) m  (c) 11\/10  (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 3 + -1. Let v = 39 - 36. Do i and v have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9199 (base 11) in base 5?\nAnswer: 342313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(sqrt(1100) - (sqrt(1100) - (sqrt(1100)*2 + -2)) - (sqrt(1100) + sqrt(1100) + (sqrt(1100) - (sqrt(1100)*1 - sqrt(1100))) - sqrt(1100))*5)**2.\nAnswer: 1600*sqrt(11) + 352020","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Product of 128 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 110\/(-1430)*36\/6.\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when (0 + 8\/6)*(-294)\/(-28) is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r*((r*r*r**19*r)\/r)\/r*(r*r**15\/r)\/r*r)\/((r*r\/r**(-19\/4)*r)\/((((r*r\/r**(-1\/14)*r*r)\/r)\/r)\/r)) assuming r is positive.\nAnswer: r**(821\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -4 - -1. Let p = u - 4. Let m = p + 8. Solve -5*j + m = -9 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 5 - 6ad9?\nAnswer: -6ad4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 5\/8 of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3534 is divided by 58?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 u and 2 a when four letters picked without replacement from aauuauuaaaaaaa?\nAnswer: 270\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -19 + 31. Suppose -2*d = -4*d + 5*i + n, 3*i = 2*d - 12. Let t(g) = 2*g - 8. What is the units digit of t(d)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 394388568 by -278523.\nAnswer: -1416","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = -5*b**2 - 4*b + 7. Let c(u) = 10*u**2 + 9*u - 15. Let n be -7 + 7 + -6 + (8 - -2). Give n*c(f) + 9*j(f).\nAnswer: -5*f**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -72 - -111. What is the tens digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify p\/(p*p*p*p**3*p)*p\/(p*p**(-2\/11))*p*(p**(-8)*p)\/p**(-1\/7) assuming p is positive.\nAnswer: p**(-899\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 64c63 + -5?\nAnswer: 64c5c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*sqrt(931)*-5)**2 - (sqrt(931) + sqrt(931) + 1 + 4).\nAnswer: -14*sqrt(19) + 23270","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 14201 and 308549?\nAnswer: 3394039","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -5 + 71. Let s = 5\/4964 - -980375\/14892. Let q = f - s. Which is smaller: q or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g + 7*o + 134852 = 6*o, 101116 = 3*g + 5*o. Suppose -4*t - g + 227312 = 0. Round t to the nearest 10000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -2a - 5?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 3 - -74b?\nAnswer: 752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*k + k + 42. Let g be ((32\/10)\/(-2))\/(28\/350). Let f be (56\/g)\/((-5)\/100). What is the greatest common factor of k and f?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + 1 + -4*((sqrt(1573) - (-1 + sqrt(1573))*5)**2 + 1).\nAnswer: -100773 + 1760*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4500*p - 49064 = 247936 for p.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:58 AM and 6:45 PM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-76)\/(-18) - 2\/9. Let o be ((-12)\/8)\/((-3)\/h). Suppose -o*i = -i. Which is smaller: i or -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = 103*h**2 - h - 1. What is k(1)?\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = -6*q + 3. Let v(j) = 12*j - 7. What is -5*c(n) - 2*v(n)?\nAnswer: 6*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -6173 - -3673. Round u to the nearest 10000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (28 - (-5 + 17) - 6) + -13?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = 9*t. Let i(j) = -4*j. Suppose 0*s - 3*s = -18. Let v = s + 3. Let z(a) = -17*a. Let b(n) = v*i(n) - 2*z(n). Calculate b(g(l)).\nAnswer: -18*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -344350926 - -344351003.9999934. Let p = a - 78. What is p rounded to 6 dps?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = -22158*k**3 - 5*k**2 - 8*k - 5. Let c be n(-7). What is c rounded to the nearest 1000000?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = r**3 - 68*r**2 + 142*r - 499. Calculate n(66).\nAnswer: 161","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7 - 47 = -2*m - y, m - 2*y - 10 = 0. Is 18 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*x + 7*x = -5*s - 14, 2*s + 14 = -5*x. Which is the nearest to x?  (a) 2\/5  (b) -5\/3  (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 9*o*p**2 - 67*o - 3*p**2 wrt p?\nAnswer: 18*o*p - 6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 3479.4 - 3479. Which is the closest to 0.08?  (a) -0.1  (b) -4  (c) 2\/9  (d) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i + 3 = -9. Suppose 5*f - 4 = 11. Suppose -f*y - 27 = -i*s + 4, 2*s - 4*y = 28. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1 + 0 + (-1 - -2)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -6 - (4 - (0 + -1 + 8 + -9)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -37 and -9?\nAnswer: 333","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = 25003*j**2 + 56*j - 46. List the prime factors of z(1).\nAnswer: 25013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*l + 52 = -12*o + 40, -o = -4*l + 18 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*r = 4272*y - 4270*y + 2*r - 20, -3*r + 25 = -8*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 100*y - 96*y + 56 for y.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 10 - 4*t - 8*t**2 - 9 + 10*t**2 - 4*t to the form v*t**2 + q + f*t and give f.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**(-4))**(-3)\/(t\/((t**4\/t)\/t)*t)**(-44\/7) assuming t is positive.\nAnswer: t**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is (-105512)\/131890*(-790)\/(-8)?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 21 - 7. What is the highest common divisor of h and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 13\/4 of a millimeter?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g - 4 = -g. Find the third derivative of g*t**5 + 0*t**5 - t**2 - t**2 + 0*t**5 wrt t.\nAnswer: 120*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (4 - 15) + 2 - 1.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 81 - 78. What is the nearest to 1 in 0.7, c, -8?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 3516 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15*k + 144 = -14*k. Let m be k\/7 - 4\/7. Solve -5*n - m = 5 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 48001376?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l*l*l**(-2\/25)*l*l)\/((l\/(l\/l**(1\/10)))\/l*l) assuming l is positive.\nAnswer: l**(191\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 197478357343 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -8f - 9?\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 488189?\nAnswer: 13, 17, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 196 a factor of 1556336?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 20 + -19. Let q be -3*(0 + -2 + c). Suppose q*k - 2*p - 1 = 0, k = 4*p - 8 - 5. What are the prime factors of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p + 3*f + 15 = 0, f = p + 3*f - 1. Suppose 0 = 3*o - 4*m - 13, 2*m + m + p = 0. Solve o*b = b - 4 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be -2*91\/(-26)*-23. Sort m, 2\/13, -2, -1\/7 in decreasing order.\nAnswer: 2\/13, -1\/7, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = -s**2 - s - 1. Let z(t) = -t - 2*t**2 - 3 + t - 3*t. Let d(l) = l**2 + 10*l - 5. Let f = -30 + 19. Let m be d(f). Determine m*y(v) - 2*z(v).\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -1 + 1.3. Let j = 3.13 + -3.283. Let q = -0.847 + j. What is the second biggest value in q, 0.5, 3, n?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 64669499 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 5613575 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 63, 118, 173, 228, 283, 338?\nAnswer: 393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = -x**3 - 6*x**2 + 2*x + 6. Let m = 25 - 31. What is r(m)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = 5*z**3 - 9*z**2 - 16*z. Let k(i) = -i**3 + 2*i**2 + 4*i. Suppose 14 + 26 = -20*j. Determine j*f(q) - 9*k(q).\nAnswer: -q**3 - 4*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-12)\/(-20) + (-242)\/(-5). Suppose 22 = 50*a - g*a. Let j = 10 + -5. Put j, a, -3 in decreasing order.\nAnswer: a, j, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 57*b - 40*b - 1039771 = 0. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = d**2 + 2*d + 3. Let f be u(-2). Suppose 2*h + 12 = 5*z, -h - 1 = -5*z + 15. What is the smallest common multiple of 7\/((6\/h)\/f) and 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6691 smaller than 13379\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 3947 or 4010?\nAnswer: 3947","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = 21*f**3 - 10*f**2 - 8*f - 5. What is the remainder when 896 is divided by n(3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 204486 divided by -173.\nAnswer: -1182","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o + 4*f = 6*o - 6332, 5*f - 3777 = -3*o. List the prime factors of o.\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) be the third derivative of -a**6\/15 + 5*a**4\/8 + 2*a**2. What is the second derivative of y(x) wrt x?\nAnswer: -48*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.1 - 0. Let v = -1.196 - -73.096. Let g = v - 72.01. What is the closest to g in 2\/7, n, 0.1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*k + 5*k = 644144. Let x = k + 141072. What is x rounded to the nearest 10000?\nAnswer: -180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r = -8*r - 9. Let v = 42 + -177\/4. Which is smaller: r or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*v + 2, 3*h - 26 + 3 = v. Suppose 0 = -k - 2*x - 7, 5*x + 6 + 4 = 0. Let n = k + h. Solve -r - 4 = -n*t - 3*r, 5*t - r - 13 = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 7\/4, 0.2, -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (552\/(-228))\/((-222)\/(-2109))?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = -z. Let d(s) = -11345*s**2. What is q(d(p))?\nAnswer: 11345*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express (-8829*k**2 - 13207*k**2 + 860*k**2 - 3883*k**2)*(3*k**2 - k**2 - 5*k**2) as y*k**2 + f*k**4 + t*k**3 + d*k + p and give f.\nAnswer: 75177","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 309.\nAnswer: 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5529.\nAnswer: 3, 19, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 151673?\nAnswer: 151673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 37 - 35. Let g be -4 + (-1 + h - -6). Suppose x = 3*n - 15, g*n - 6 = 4*x + 18. Solve -n*v = v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -131*i + 135*i = -20, i = -f - 4. Put f, 5, -68, -4 in ascending order.\nAnswer: -68, -4, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 198 a factor of 300168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 24 - (-10 + 17 + (-4 - 5) - -10)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 23*x - 9 + 78. Sort 5, 1, -36, x in increasing order.\nAnswer: -36, x, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 1 - 79?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 55615?\nAnswer: 5, 7, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Product of -2183.61 and 0.1.\nAnswer: -218.361","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 0.012658 * 28\nAnswer: 0.354424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -5 - 1121?\nAnswer: -1126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sum 8 and 33.20663991044.\nAnswer: 41.20663991044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -29\/730 and 71\/1530.\nAnswer: 111690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 4.3 - 4.3. What is the nearest to b in -2.1, -4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*n - 378 + 413 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence yo when two letters picked without replacement from {y: 5, f: 2, o: 1, v: 4, s: 2}?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-6)\/(-28)*434\/372. Let g = 0.2 - 0.1. What is the nearest to 0.3 in v, g, -2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 6*a**3 - 4*a**3 + 37*a - a**3 as o + v*a**2 + j*a**3 + x*a and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-24)\/(-112))\/((-11)\/22).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -7281677, -7281674, -7281671, -7281668, -7281665?\nAnswer: -7281662","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (660\/(-195))\/(140\/130).\nAnswer: -22\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((z**(-2\/11)*z)**(-15)*z**9*z**3*z*z)**9)**49 assuming z is positive.\nAnswer: z**(8379\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 19 - 9. Let l = -10 + v. Suppose 2*a - 110 = -l*a. Calculate the remainder when a is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = -b + 4. Suppose 0 = z - 5*n + 17, -z + 2*z + n = 1. What is the lowest common multiple of 11 and l(z)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = -546*m + 4389. Let g be a(8). Solve -g*o - 19*o = -200 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -7705, -7711, -7721, -7735?\nAnswer: -7753","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 14?  (a) -67\/152  (b) -3\/8  (c) 1.2  (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -6*m + 82 - 16. Suppose 42 = m*z - 9*z. What is the remainder when z is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*m - 465 = 1287. List the prime factors of m.\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-252)\/(-4) - (5 + -7). Let j = 102 - z. List the prime factors of j.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-23)\/(4\/32 + 2\/(-8)). Suppose -j = 279*n - 283*n. Does 14 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -557890*k**2 - 14618*k + 3 wrt k?\nAnswer: -1115780","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f be -2 - -4*(-111)\/(-2). Suppose 0*v + 5*v - 360 = 0. Suppose f - v = 4*b. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 34 - 14. Let r = -88 + h. Let q = 69 + r. Is q < 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -8 - -9. Which is the closest to z?  (a) 8  (b) -3  (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 15882 - 15848.076. Let b = -0.41 - -34.41. Let j = r - b. Round j to 2 decimal places.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 15 + -4 + -5 + 4\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {f: 1, z: 2, e: 3, q: 2, a: 4}. What is prob of sequence fez?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Put -8, -5, 5, -14 in ascending order.\nAnswer: -14, -8, -5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -6 + 6 - 2 - (0 + 2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -74*m**2 + 8253*m - 8253*m.\nAnswer: -74*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**(-1)*o**(1\/35))**(-48) assuming o is positive.\nAnswer: o**(1632\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 (base 8) in base 14?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -1 + -220000200221010001?\nAnswer: -220000200221010002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 47660053?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 4*n**2 - 983*n + 1727*n**4 - 6465*n**4 + 94*n - 5*n**2 wrt n?\nAnswer: -113712*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -50*b**2*p**2 - b**2*p*r + 24*b**2*p + 4*b*p**2*r - 51*b + 24*p**2*r wrt b.\nAnswer: -100*p**2 - 2*p*r + 48*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1149.99639 + -1150. What is i rounded to three decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = -v**3 - 7*v**2 + 9*v + 5. What is h(-8)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) be the third derivative of u**6\/120 + u**5\/30 - u**4\/24 - u**3\/6 + 4*u**2. What is the units digit of x(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify n**(-1\/5)\/(n*n**(-2))*((((n*n*n**(1\/10))\/n)\/n)\/n*n*n*n)\/(((n*((n\/(n\/n**(2\/13)))\/n*n)\/n*n)\/n)\/n) assuming n is positive.\nAnswer: n**(487\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -9543.307 - 98002?\nAnswer: -107545.307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Add -259568 and 7826.5193.\nAnswer: -251741.4807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 540 and 675.\nAnswer: 2700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 4693728463 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Round -119805.985 to the nearest one hundred.\nAnswer: -119800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: ((-4)\/2)\/(((-2)\/35)\/(4906\/2230))\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1007 + 1557. Let q = 553 - p. Solve -q*t = t - 20 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -68572, -68567, -68572, -68599, -68660?\nAnswer: -68767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -833*l + 836*l + 3 = -3*j, 18 = -2*l + 2*j for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -7 divided by -38.\nAnswer: 7\/38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 80549 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 13 - 8. Suppose 69*w - 70*w + 2 = 0. Let c(j) = -676*j**2 + 3*j + 675*j**w + 1 + 1. Calculate c(m).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 319\/3 equal to 106?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -31*w + 71 = 183 + 204 + 87 for w.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) be the third derivative of -t**5\/60 - t**4\/24 - 16*t**3\/3 - 11*t**2. Let z be c(0). Let h = z - -36. Solve -n = -h*n + 15 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1512942969 take away 5?\nAnswer: -1512942974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 222 = 59*n + 484 + 446 for n.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -6*d**4*i**3 + d**4 - 88*i**3 with respect to d.\nAnswer: -24*d**3*i**3 + 4*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) be the second derivative of -4*p + 2*p**3 + 0 + 1\/2*p**4 - p**2. What is the tens digit of s(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 570*s + 5383 = -2597 for s.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 56*l - 55*l + 28 = -7*p, -5*p = l + 22 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1 + 5)\/(72\/(2 + -8)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 times 0.1808?\nAnswer: -0.1808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 11237 is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -3 (base 12) to base 7\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + (sqrt(128) + sqrt(128)*2)*5 + -3 + (-2*sqrt(64))\/((sqrt(16)\/sqrt(2))\/sqrt(4)).\nAnswer: 1 + 112*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -82 + 68. Let o be (12\/h)\/6*-4. Determine u, given that -18\/7*u**4 - o*u**3 + 0 + 4\/7*u + 18\/7*u**2 = 0.\nAnswer: -1, -2\/9, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1525 is divided by 216?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 4\/21 of a week in hours?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*sqrt(99) + -5 - ((sqrt(1331)*-1 - sqrt(11)) + -3*sqrt(44)).\nAnswer: -5 + 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -59 = -k + 3*w + 6, -k + 5*w = -57. List the prime factors of k.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) be the first derivative of -c**4\/4 + c**3\/3 + c**2\/2 + 3*c + 3. Let f be y(0). Solve 2*u + 3*z = u + 14, 4*u - 11 = f*z for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -1\/4, 0.1, 4 in descending order.\nAnswer: 4, 3, 0.1, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*y = -9*y, -i - 5*y = 2 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 z and 1 s when two letters picked without replacement from zzlllllszzzzzzlzlzl.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 16 = -65*o + 66*o - 3*x, -3*o + 5*x = -28 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ttttftyttftyt. What is prob of picking 3 t?\nAnswer: 42\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7695 is divided by 2006?\nAnswer: 1677","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in -14, -1, 9\/14, 0.0707, 0.4, -1\/4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 4486 and 14886791?\nAnswer: 2243","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 17*z**2 + 14*z - 180*z**3 + 171*z**3 + 16*z + 31*z + 5*z wrt z.\nAnswer: -54*z + 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0 - -2. Let w = -0.7 + 3.7. Put l, w, 1\/6 in decreasing order.\nAnswer: w, l, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -285 + 285.06. Let x = 0.064 - 0.464. What is the closest to w in 2, x, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = g**3 + g**2 - 4*g. Let b be u(-3). Let c = 2 - b. Solve -c*i = -5*o - 3*i - 5, 4*o - i + 4 = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 115, 479, 1099, 1987, 3155, 4615, 6379, 8459?\n\"Answer: 2*x**3 + 116*x**2 + 2*x - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -121 = -3*a + 125. Let l = a - -206. List the prime factors of l.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1442 - 1439. Solve -x*n + n = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of a**5 + 3*a**4 + 283*a**3 + 12*a**2 + 3*a + 40.\nAnswer: 60*a**2 + 72*a + 1698","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (147 - 105) + -19 + -87?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -7.82 + -0.18. What is the smallest value in -2, s, 2\/7?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (2*p - 4*p + 0*p)*(-10758*p + 42*p**2 + 10758*p) in the form m*p + r*p**3 + w + k*p**2 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 651 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -10 - (-2 - 1) - ((-19 - -12) + 11)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 423973 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 29368?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 851 - 537. Which is smaller: 627\/2 or h?\nAnswer: 627\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {b: 14, n: 2, v: 1}. What is prob of sequence nvb?\nAnswer: 7\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 43113157 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7090 is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m be -10 + 10 + 7 + -3. Factor 23*g + 8*g**2 + 24*g - 4*g**3 + m - 57*g + 2*g**3.\nAnswer: -2*(g - 2)*(g - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*q - 5*q + 60 = 4*g + q, 9*g - 4*q - 109 = 0 for g.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b - 2*h + 10 = 0, 5*h - h - 20 = 5*b. Suppose b = -3*m - 2*i + 783 + 455, -4*m + 5*i = -1666. Is m a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 14529, 29060, 43591?\n\"Answer: 14531*j - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = b**3 - 8*b**2 - 7*b - 1. Let h be j(9). Suppose 2*x - 1 = h. Calculate the least common multiple of x and 5.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) be the third derivative of w**5\/60 + w**4\/8 + 3*w**3\/2 - 2*w**2 + 27*w. What is o(-6)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 247 + -248. Let k be (i\/(-12))\/((-30)\/80). Which is the second smallest value?  (a) -19  (b) k  (c) -1  (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 7, -5219 in increasing order.\nAnswer: -5219, -5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = -u**3 - 9*u**2 + 10*u + 4. Let o be i(-10). Let l be (-2)\/(-8) - (-27)\/(-12). Let k be 2\/(-2)*2\/l. Sort k, -4, o in decreasing order.\nAnswer: o, k, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00562000934 rounded to four decimal places?\nAnswer: 0.0056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 4109 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -59523 (base 14) in base 7?\nAnswer: -1564643","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/3195, -35986, 1\/2.\nAnswer: -35986, 2\/3195, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = -2 + 4*i**2 + 24*i + 2*i**3 + 0*i**3 - 23*i. Determine s(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -7 + -1 + 20 + -32 + 28?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0 - 3. Let n = y - -24. Is 6 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 19387 - 19383. Solve -18*v = -20*v - c for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*w + 12*w - 72. Let g(t) be the second derivative of -1\/105*t**w + 1\/70*t**5 - 1\/21*t**3 + 1\/42*t**4 + 0*t**2 + 0 - 3*t. Factor g(l).\nAnswer: -2*l*(l - 1)**2*(l + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -1 + 5. Which is the second biggest value?  (a) k  (b) -3  (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 106255210 is divided by 3614?\nAnswer: 3610","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 29*m**2 + 25*m**2 + 17*m**2 - 48*m**2.\nAnswer: 23*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2*b*g**3*m**3 + 152*b*g**2*m**3 - 2*b*g**2*m**2 + b*g*m**2 - b*m**3 - 3*g**3*m**2 - 10*m wrt m?\nAnswer: -12*b*g**3 + 912*b*g**2 - 6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (3 - -1) + (18 - 3 - 32) + 12.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 400 - 400. Solve 8*r = -h*r + 40 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*j - 2*v - 16, v - 2*v = 4*j - 4. Suppose j*o + 58 = 3*o. Let t = 58 - o. Solve -z - z = t for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 599 minutes before 11:48 AM?\nAnswer: 1:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 18524672, 18524660, 18524648, 18524636, 18524624?\nAnswer: 18524612","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = -f - 4. Let t(n) = n + 6. Let c be t(-7). Let u be 6\/2*c\/(-3). Let p be u\/2*-2*6. Give d(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1507631 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 4946 or 24732\/5?\nAnswer: 4946","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = -p. What is z(9)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2*(-5)\/140*2?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -29.51 - -29.521466. What is x rounded to 4 dps?\nAnswer: 0.0115","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 30532, 30597, 30694, 30823?\n\"Answer: 16*p**2 + 17*p + 30499","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from wwuuwuwwuu. What is prob of sequence uwww?\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 862 is divided by 54.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 318 minutes before 3:30 AM?\nAnswer: 10:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1440121324 (base 5) to base 10.\nAnswer: -3832714","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -60 = -q - 5*y - 20, -2*q + 66 = -4*y. Let h(n) = -19*n + 226. Let a be h(10). Is a greater than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**(-8)\/(c**(-12)\/c))**(3\/19) assuming c is positive.\nAnswer: c**(15\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -59\/232 and -39\/10.\nAnswer: 1160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:27 PM and 6:25 PM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 517, 521, 525, 529?\nAnswer: 533","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) be the second derivative of 0 - 23*t - 3\/2*t**2 + 3\/10*t**6 + 0*t**3 + 0*t**5 + 0*t**4. Find the first derivative of z(y) wrt y.\nAnswer: 36*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) be the first derivative of -a**4\/4 - 9*a**3 - 55*a**2\/2 - 126*a + 5924. Determine t(-25).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-40)\/48*(-18)\/20.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = 3*k**2 - 67*k - 803. Determine d(30).\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 13\/27 and -44\/117.\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00001478 to 5 decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 62 + 61 + -93 + 25\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 42457 is divided by 14145?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -34 = -7*v - 6 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {s: 5, p: 2, m: 4}. What is prob of picking 2 m?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = -5*h - 2*h**3 + 351*h**2 - 344*h**2 + 2*h + 5. Let t be c(3). Solve w + t = -2*d - 4, d + 5*w = -27 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = 5*x**2 + 3*x - 5. Let w = -15 - -18. Calculate the remainder when p(w) is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -842 - -482. Let v = -314.6 - t. Let h = 39 - v. Round h to 0 dps.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:43 PM and 9:35 PM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is (-4)\/((-8)\/14)*(-35)\/(-49)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3713113 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*z = -5*h - 21, -54 - 268 = -5*h + 46*z for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2\/((-6)\/(-5)*(-35)\/(-147))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i = v + v - 4, -3*v - 13 = 5*i. Put 3, 0, i in ascending order.\nAnswer: i, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x = -4*c - 0*c, 3*x = 5*c - 2. Suppose -2*j + 9 = -c. Solve -j*g - 2 = 3 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = -l**2 + 13*l + 6. Let i be c(13). Let f(k) = -k**3 + 6*k**2 + 2*k + 4. Let x be f(i). What is the highest common factor of x and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -k + 2 = 2*v, 94*k - 303*k + 107*k + 36 = -92*k + 4*v for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.411719 to one dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 379 + -379. Let x = -0.17 + 0.87. Let n = 0.3 + x. What is the nearest to -2\/3 in n, 5, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 42499674?\nAnswer: 2, 3, 7, 29, 3877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*c - 381 + 36 = -4*a, -4*a + 325 = -c. What is the greatest common factor of a and 840?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = -3*p**2 - 2*p + 7. Let j(r) = 7*r**2 + 4*r - 15. What is 5*g(x) + 2*j(x)?\nAnswer: -x**2 - 2*x + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 570 minutes before 10:47 AM?\nAnswer: 1:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Divide -3 by -8351.\nAnswer: 3\/8351","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = -n**2 + n + 12. Let h be l(3). Let u(s) = -2*s**3 + 28*s**2 + 31*s - 13. Let g be u(15). Suppose 2*d = 5 + 3. Solve -g*x + h = -d for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.2 * -3174840.\nAnswer: -634968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 6\/(-16)*(-24)\/(1344\/(-28))?\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 64 + -100. Let u be 12\/28 + (-1)\/(14\/p). Solve 3*a + 8*y = 3*y + 6, 4*y = -u*a + 6 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1602)\/(-37638) - (-4)\/(-68).\nAnswer: -2\/123","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f**3\/5 + 31571*f**2\/5 + 1137553*f\/5 + 9450493\/5 = 0. Calculate f.\nAnswer: -23, -13, 31607","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round -115.7915 to 1 dp.\nAnswer: -115.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g be -1 - 3 - 11\/(-3). Which is the nearest to g?  (a) -0.06  (b) -0.2  (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {e: 1, r: 2, a: 1, l: 2, k: 1, i: 1}. Give prob of picking 1 e, 1 i, 1 k, and 1 r.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:55 AM and 6:19 PM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = h**3 + 3*h**2 - 14*h + 36. Let j be b(3). Let k(d) = 28*d**2 - 4*d + 4. Let f be k(2). What is the greatest common factor of f and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -99c7b (base 16) to base 5.\nAnswer: -130124013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 3 + 2)*(-p**2 + 2*p**2 + p + p**2).\nAnswer: 4*p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -338 times 21?\nAnswer: -7098","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1520631*n = -18*f + 1520636*n + 119, n = 5*f + 2*n - 45 for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - i - 1)*(2 - 3*i + 2*i**4 - 2*i**2 + 3*i) - 68*i - 24*i**5 + 27*i**5 + 495*i.\nAnswer: i**5 + 2*i**3 + 425*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 193 divided by -13?\nAnswer: -193\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 14845 or -47?\nAnswer: 14845","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sum 0.45673 and 1.484.\nAnswer: 1.94073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 69 - -78. Let z = i + -229. Let q = z + 82.00103. What is q rounded to four dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -53 + 57. Suppose 5*s - 15 = 0, 5*s = 13*t - 9*t + 15. Solve t = -2*n + n + j for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 190190 and 12103?\nAnswer: 1331330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 156 minutes before 2:17 PM?\nAnswer: 11:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from {q: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -784 + 2784. List the prime factors of c.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -35*f = -36*f - 4*p - 14, -3 = p for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Divide -19 by -11.\nAnswer: 19\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 2835 and 280?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 75 and 3950.\nAnswer: 11850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -200 or -202228\/1015?\nAnswer: -200","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -12*c**3 - 30*c**3 + 6*c**3.\nAnswer: -36*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l**3\/7 - 4434*l**2\/7 + 2128684*l\/7 = 0. Calculate l.\nAnswer: 0, 703, 1514","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*(((sqrt(68) + (sqrt(68) + sqrt(68)*1 - sqrt(68) - sqrt(68)))*-4)\/sqrt(4) + (sqrt(34)\/sqrt(2) + sqrt(17) + -4)*-2)**2.\nAnswer: -2304 + 256*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -5 + 40400464?\nAnswer: 40400456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 11105406 a multiple of 78?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -49 + 49.86. Let j = 0.14 + s. Let i = -3.6 + 4. Which is the nearest to -2?  (a) 5  (b) i  (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 258281851?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1947768959?\nAnswer: 26729, 72871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 136 and 1462?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = -p**3 - 39*p**2 + 31*p**2 - 4*p + 5 - p + 11. Let b be g(-7). Suppose b*f + 54 = 156. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-t + t + 2*t)*(2 + 1 - 2) + (4*t + t - 6*t)*(-13 - 18 + 6) to j*t + m and give j.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in -1\/3, 0.4, -1713, 1\/9, 54, 4?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 566219.7 months?\nAnswer: 47184.975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2\/(-2))\/((-4)\/((-8)\/10)).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j - 24 = -j. Suppose 57*h - 2691 = 2268. Is 9 a factor of 2248\/10 + h\/(-15) + j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 488, -447, -2016, -4219, -7056, -10527?\n\"Answer: -317*k**2 + 16*k + 789","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = -s + 2. Let g be a(-7). Let r(w) = w - 3. What is the remainder when 351\/12 + 1\/(-4) is divided by r(g)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2320.178 days in weeks?\nAnswer: 331.454","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -0.0561, -1, 272.34?\nAnswer: -0.0561","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {w: 1, i: 1, m: 1, t: 1, g: 3}. What is prob of sequence mt?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(26) - (sqrt(2106)*-1 - sqrt(2106)))\/(-6*sqrt(18)) + (1*sqrt(78)*-5 - sqrt(78) - sqrt(78))\/(sqrt(54)\/sqrt(81)))*3.\nAnswer: -397*sqrt(13)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -15 + 9 + -1 - (-5 + 0).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = -10*r**3 - 15*r**2 - 10*r + 18. Let x be b(9). Let y = 102787\/12 + x. Calculate the common denominator of 51\/20 and y.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 484 - -2878255?\nAnswer: 2878739","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, 4, -31111, -24, -2 in descending order.\nAnswer: 4, -2, -4, -24, -31111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 291 minutes after 4:38 PM?\nAnswer: 9:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -36036 - -53409. Round l to the nearest one thousand.\nAnswer: 17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) be the second derivative of 40*p**2 - 11*p - 20\/3*p**3 + 0 + 5\/12*p**4. Factor t(k).\nAnswer: 5*(k - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*q - 44 + 109. Let w = q + -4. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 921242?\nAnswer: 2, 7, 23, 2861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 > 23\/89?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1636 - 1369. What is the tens digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = -y**2 - 9*y + 7. Let o be g(-8). Suppose -5*u = o, -2 = -x - u - 0. Solve -x*f + 2 = 22 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 128 + -90. Suppose 0 = -v + 3*v - h. Calculate the remainder when v is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in -0.09, -0.1, 5?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 18 = 3*s - 2*x, -4*s = -3*s - x - 7 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1362 is divided by 679.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 162082478\/1365 + -356225\/3. Find the common denominator of g and 61\/26.\nAnswer: 2730","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -32*y + 33*y + 2 = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -20145 + 40548 - 20403 + 6*h**3.\nAnswer: 6*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -199, -1637, -5531, -13105, -25583, -44189?\nAnswer: -70147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = -r**2 - 8*r - 10. Let d be b(-6). Suppose d*a + 11 = -f + 52, 0 = f - 1. Calculate the highest common factor of a and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.8 + 4.2. Sort -4, -2\/5, s in descending order.\nAnswer: s, -2\/5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -20000 (base 7) in base 10?\nAnswer: -4802","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 2 and 290?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 9.64252 + -8.343. Let p = 1.3 - k. What is p rounded to four dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 14138 to the power of 1\/2, to the nearest integer?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 543, -418, 336.\nAnswer: -418, -3, 336, 543","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Does 97 divide 54190?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 3\/4*(8 + -4). Suppose 3*t = -i + 2639, -t - x = -7. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -6544, -6545, -6546, -6547, -6548?\nAnswer: -6549","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = -43*c - 13. Is 35 a factor of h(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -12671\/1304 - -15\/163. What is the common denominator of -71\/8 and g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 251 minutes before 5:37 PM?\nAnswer: 1:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = d**2 + d. Let w be q(-2). Suppose -w*l + 5 = 1. Suppose c = 2*j, -l*c - 7 = -5*c - j. What is the greatest common divisor of c and 18?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -578556 divided by -1948.\nAnswer: 297","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) be the second derivative of -1\/6*z**4 - 55*z - 19\/2*z**3 - 1 + 105\/2*z**2. Differentiate i(m) with respect to m.\nAnswer: -4*m - 57","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {f: 1, z: 2, e: 1, i: 2, s: 1}. What is prob of sequence ifsf?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -4 + 11. Suppose f*g - 711 = -2*g. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*g + 24 = -6*q + 2*q, 0 = -2*g - 5*q - 16 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -153*u = -12*u - 159 - 405. Solve -2*q - 9 = -5*p + u, 5*p + 4*q = -11 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 7980798 divided by 3\nAnswer: 2660266","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) = 5*n + 83. Let t be d(-7). What is the highest common divisor of 48 and t?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + 2 + (((sqrt(40)*1)\/sqrt(10))\/(-6*-2*sqrt(2)))**2*2 + 2.\nAnswer: 253\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round -22.2803 to 1 dp.\nAnswer: -22.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3a5 (base 13) to base 14.\nAnswer: 33c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 49\/8 and (196\/(-126))\/((-16)\/42).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -431331 (base 7) to base 16\nAnswer: -124bf","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 36 divide 173088?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 382 - 36?\nAnswer: 346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = -a**2. Let w(i) = 8. Let b(u) = -2482 + 3*u + 2500 - 4*u. Let x(q) = -2*b(q) + 5*w(q). What is x(r(m))?\nAnswer: -2*m**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 37 + -143\/2. What is the common denominator of m and 406\/88 - 5\/2?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = u**3 - u**2 + 14*u - 25. Let f be b(2). Let l(q) = q**3 - 7*q**2 - 2*q + 8. Calculate l(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -b**2 - 3*b - 22*b**3 + 3*b**2 - 80*b**3 + 66*b**3 to l*b**2 + h*b**3 + n*b + t and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 61420 divided by 1?\nAnswer: 61420","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1440 and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 53285752291 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = d + 6. Let u(v) = -2*v - 7. Let y(n) = -5*f(n) - 4*u(n). Let h = -6 + 9. Let k(i) = -4*i + 3. Determine h*y(w) + 2*k(w).\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*g**3 + 34*g**3 + 72*g**3.\nAnswer: 108*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*t - 899 = -107. Suppose b + 3 = 2*b. Let q be b + -1*2 + 10. Calculate the greatest common divisor of q and t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*g = 3*g + 2*f + 155284, 0 = g + 5*f - 51733. Suppose 0*j - g = -14*j. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j + 0*j - 9 = 0. Suppose -8*q = -183 - 33. What is the greatest common factor of q and j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 6 - 2. Let n = 8 - f. Suppose n*m + m = 250. What is the greatest common factor of 10 and m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {c: 1, j: 4, g: 4, m: 5, q: 5}. Give prob of sequence cqm.\nAnswer: 25\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*p = p + 1. Let q be 8 - 6 - (-8)\/p. Let w(h) = 3*h**2 + 4*h - 1. Is w(q) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = -57*y + 5201. Let g be h(91). Solve 0 = -4*c - 20, c + g + 1 = -2*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 563 - 563.00000347. Round n to 7 dps.\nAnswer: -0.0000035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 2741219\/5 - 546227. Let t = 182057\/90 - q. What is the common denominator of (2\/(-8))\/((-8)\/(-162)) and t?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 21 + -18. Suppose -2*b + 8 = -l*b. Let t be 2\/10 + b\/(-10). Sort t, -3, 8.\nAnswer: -3, t, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (u + 1 - 1)*(-4 + 2 + 1) + 5 + 12 - 13234*u - 13317*u - 13252*u + 39718*u to d + k*u and give d.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = 3*p**2 + 1. Let c be n(1). Let z be (-8)\/(-16) - (-2)\/c. Solve w - 4*s - 2 = 0, -w + z = -3*s - 1 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*m = -3*p + 6*p - 2021, 3*p + 3*m = 2025. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -u + 2*s + 148 - 138 = 0, -4*s - 20 = -5*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Express -732 - 5*q**2 + 733 + 2*q**3 - 4*q**3 as f*q + y*q**3 + n*q**2 + k and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 4\/55 - -29\/55. Let o = 72\/155 - 2\/31. Which is smaller: w or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -12746, -12747, -12748, -12749, -12750, -12751?\nAnswer: -12752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange ((b - 4*b + 4*b)*(4 - 1 - 4) + b - b - b - 3*b + b + 3*b)*(-1 + 1 + 1) to f*b + h and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = t - 5. Let n be u(7). Suppose 53 + 50 = 2*g + 5*k, -2*k = -n*g + 82. Suppose 3*q = q + g. Solve 0 = -5*y + 5*p - 30, y + 2*y - q = -5*p for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 133731260653 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.2 in -6\/287, 3, 1, 6?\nAnswer: -6\/287","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 0 - (4 + 472\/(-172)). Let z = q - -4055\/2236. Let y = z + -4\/13. What is the nearest to 4 in -2, 0, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = -3*k - 2. Suppose -16 = -2*s - 5*n, 2*s - 8 = -2*s + 2*n. Let q(o) = -4*o - 2. Let f = 2 - 4. What is f*q(b) + s*t(b)?\nAnswer: -b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 674645036 and 872?\nAnswer: 436","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 64 and 464?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) be the third derivative of -i**5\/60 + i**4\/3 + i**3\/2 + 11*i**2. Let c(g) = g**2 + 12*g + 18. Let s be c(-11). Calculate o(s).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = g**3 - 7*g**2 - 8*g - 2. Suppose -5*w + w - 16 = 0. Let f be (-40)\/w + -3 + 1. Calculate i(f).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 8*b**2*l**2*n + 428*b**2*l**2 - 2*b**2 + 126*b*l**2*n - 6*b*l**2 - 112*l**2*n wrt b.\nAnswer: 16*l**2*n + 856*l**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 614395357 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = t + 4. Let b be q(-2). Suppose b*g = -7 - 7. Let w = -47 - g. Which is greater: -39 or w?\nAnswer: -39","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = 2*a**2 + a - 1. Suppose 2*j + 0 = 2. Let b be 5\/(-2) + j\/2. What is the units digit of s(b)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = r**2 + 2*r - 11. Let p be o(2). Let l(f) be the first derivative of 2*f**3\/3 - 2*f**2 - 202. Calculate l(p).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is 121.4908 grams in kilograms?\nAnswer: 0.1214908","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -10*l + 7*l + 117. Is (-4)\/(-12) + 17303\/l a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1022 and 423619?\nAnswer: 511","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence dg when two letters picked without replacement from bqgdqqbrsgb.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 13072?\nAnswer: 2, 19, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 208*w - 6420 = 148*w. What is the remainder when w is divided by 2\/(-11) - 244\/(-11)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = 5*d**3. Suppose 12 = -m + 8. Let r(p) = -4*p**3. Give m*r(z) - 3*f(z).\nAnswer: z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -36 in 1, -14\/3, 2, -3\/5, -2\/9?\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 6535.177 centuries?\nAnswer: 653517.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 66102419 is divided by 173?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-18)\/(-63) - 24\/(-14). Solve 2*j - 4*j + t = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-3)\/3)\/((-5)\/25).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*z**5 - 3*z**5 + z**5)*(-873 - 939 + 1266).\nAnswer: -1092*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y = -j + 3, 3*j - 2*y = y + 3. Let l = 1 - 1. Let t = 1\/6 - -1\/30. What is the closest to j in t, l, 1\/9?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -12, 1502, 5, -1, -4, -7 in decreasing order.\nAnswer: 1502, 5, 3, -1, -4, -7, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 24*c - 51*c + 24*c.\nAnswer: -3*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a**(-1))**(-30))**34\/((a\/((((a*a\/a**(-3)*a)\/a)\/a)\/a))\/(a*a\/a**(-1\/2)))**31 assuming a is positive.\nAnswer: a**(2319\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 29944?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 7 - (4 - (6 + -4)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -4 - -4. Let v(x) = x**3 - x**2 + 31. Let t be v(s). Let f = 57 - t. Is 13 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 75 in 8, 0.2, -2?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = -u - 6. Let k be t(-8). Let j(q) = q + 2. Let m(c) = 1. Let d(g) = k*m(g) - j(g). Let n(o) = 9*o + 6684 - 6684. Determine d(n(v)).\nAnswer: -9*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 23*p + 29*p + 64*p + 58*p - 276*p.\nAnswer: -102*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 35 minutes before 2:21 PM?\nAnswer: 1:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 1468*p**5*w - 198*p**2*w**3 + p*w**3 + 38*p*w + 47*w**2 + w wrt p.\nAnswer: 29360*p**3*w - 396*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (((6956\/(-333))\/(-47))\/((-1)\/3))\/(150\/3)?\nAnswer: -2\/75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 21100556 to the power of 1\/2, to the nearest integer?\nAnswer: 4594","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 w when four letters picked without replacement from wwwwwww.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*(sqrt(2000) - (sqrt(2000) - (3 + sqrt(2000) + -2*sqrt(2000)))))**2*-3.\nAnswer: -6027 + 360*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 246087.\nAnswer: 3, 37, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 144*c + 804 + 327 - 4*c**2 - 290*c + 146*c.\nAnswer: -4*c**2 + 1131","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is (5 - (-312)\/(-65))\/((100\/96)\/25)?\nAnswer: 24\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r - 26 = -5*j - 7, r + 13 = 5*j. Suppose -y + 9 = -r*y. What are the prime factors of (-3)\/y + (-80)\/(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) be the third derivative of -d**8\/60480 + 2*d**7\/945 - 16*d**6\/135 - 47*d**5\/60 - 72*d**2. Let u(a) be the third derivative of f(a). Factor u(w).\nAnswer: -(w - 16)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2149 + -7524286?\nAnswer: -7526435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 8\/(64\/460)*15\/(375\/(-10)). Which is the nearest to 0?  (a) 138  (b) 0  (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 7.11 - 7. Let g = i + -0.41. Put 1, g, -3 in descending order.\nAnswer: 1, g, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 18 = 3*b + 4*s - 19 + 26, 2*b = -2*s + 4 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = -o**3 - 6*o**2 + 13*o + 39. Let j be c(-9). Is 33 a factor of (-14)\/(-8 - (-1315)\/j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l\/l**(-2\/9)*l)\/l**(-2\/9))**(14\/13)\/(l*l\/(l*(l*l**(-2\/7))\/l)*l*l\/(l*l**(-4))*l*l\/(l*l**(2\/9)\/l)*((l\/l**6*l)\/l)\/l*l) assuming l is positive.\nAnswer: l**(-353\/819)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.03167 + 4.03167. Let w = 4 - 0. Which is the nearest to u?  (a) 0  (b) w  (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -689849784 divided by -2047032\nAnswer: 337","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {f: 3, y: 6, g: 1, x: 3}. Give prob of sequence gyyx.\nAnswer: 3\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -12 - (-159 - -156 - (2 + 14 + 2)) - 107?\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = -h**3 - h**2 - h - 1. Let x be r(-1). Suppose x = 4*k - 8*k + 8. Factor -6*m + 6*m + 2*m**k - 2.\nAnswer: 2*(m - 1)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in three fifths of a kilogram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 13, 56, 137, 274, 485, 788?\n\"Answer: 3*d**3 + d**2 + 19*d - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is -184\/128499 at least 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*q - 2 = 5*x - 6, 5*x - 20 = 0. Let i = -263 + 268. Solve -2*s = -s + a + i, -5*s + 2*a = q for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 16\/10*2280\/912*1\/(-46)?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-3 + 19)\/(-4))\/(-2). Suppose 4*b + 2*w - 138 = 0, -5*w = 2*b + d*b - 153. What are the prime factors of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -12323 - -20803. What is the greatest common divisor of 160 and j?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6087917 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 250 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = -x**3 + 82*x**2 - 365*x - 40. Let b be r(75). What is the highest common divisor of b and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*n - 2 + 17, 3*i + 21 = -3*n for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -24 + 27. Let m(h) be the third derivative of h**5\/15 - h**4\/12 + 4*h**2 + 3. Let b be 1 + (1\/(-1) - 7). Let p(g) = 2*g**2 - g. What is b*p(y) + l*m(y)?\nAnswer: -2*y**2 + y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 2349 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-2 - -5)*(1 + 0). Let t(u) = u**3 - 3*u**2 - u + 1. Let j be t(q). Put 2, j, 4 in increasing order.\nAnswer: j, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = 84*c**3 - 3*c**2 + 81*c + 19. Let w(g) = -26*g**3 + g**2 - 28*g - 6. Calculate 4*o(i) + 13*w(i).\nAnswer: -2*i**3 + i**2 - 40*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -8 + (-2 - -8 - -22 - 3).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 101 (base 2) to base 3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 26863223786 and 386?\nAnswer: 26863223400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = 485*f**4 - 595*f**3 + 80*f**2 - 55. Let h(w) = -18*w**4 + 22*w**3 - 3*w**2 + 2. Let c(n) = -55*h(n) - 2*p(n). Find t such that c(t) = 0.\nAnswer: 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 5*67\nAnswer: 335","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 16 a factor of 11586?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Express -g**2 - 7*g**3 + 0*g**3 + 2*g + 0*g**3 - 3*g in the form l*g + c*g**2 + i + y*g**3 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 (base 7) in base 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 300499.7g?\nAnswer: 300499700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -151 - -149. Is -0.039 greater than or equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20*r - 1972 = 7288. What is the hundreds digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-2)\/(-2) - (-9)\/3. Let x be ((-25)\/10)\/((-2)\/l). What is the second derivative of -2*w + w + w**5 - 4*w**x wrt w?\nAnswer: -60*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -5, -3, -0.04, 0.5, -1.6?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 32 - (48 + -9 + 27)\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = -q**3 - q**2 - 2*q - 1. Let w be l(-1). Suppose 5*k + w - 21 = 0. What is the smallest common multiple of k and 22?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -1824 + 29167\/16. Calculate the common denominator of -55\/4 and d.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -270703643 - 1?\nAnswer: -270703644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -4959 and -1?\nAnswer: 4959","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-33 - 32 + 128)*(-1 + 0 + 0)*(2 - 2 + 2*u).\nAnswer: -126*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 minus 0.028123901?\nAnswer: -0.028123901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 6*-1*2\/(-6). Let a be 0 + r*(1 - 0). Suppose -a*q + 6 = 4. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 69 - (207 + -51) - ((1 - 3) + -3)\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = 7*x**2 - 4*x + 3. Let r be j(2). Suppose 0 = 2*h + 3*c - 38, -h - 4*c = -r - 6. What is the remainder when 24 is divided by h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8.437115 rounded to two decimal places?\nAnswer: 8.44","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 16536\/(-1484)*(-7)\/2.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/9 in -3, 7, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is -22 at most as big as -480\/23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 206?\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 1\/(-690)*(-35)\/2. Let c = 487\/69 + w. Find the common denominator of c and -1\/20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 18 - (-18 - (12 - (-16 + 2 + 22)))\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (810\/25)\/((-7)\/35). Let n(r) = -r**3 + r**2 - r + 261. Let y be n(0). Let z = v + y. Does 12 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0.8 or -1\/97?\nAnswer: -1\/97","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -164 = 7*d - 5092. What is the remainder when d is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q\/(q*q*(q\/q**(-2\/3))\/q))**(-45)*((q*q**(-1\/2))\/q)**34 assuming q is positive.\nAnswer: q**58","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 12\/42 + (-99)\/(-21). Suppose s = -m*s + 1506. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 3179 - 1821. Let t = 3719 + o. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 65183214?\nAnswer: 2, 3, 337, 32237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 328 and 464.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 495632693 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = s**2 - 6*s - 8. Suppose 5*i = -6 + 131. Let q = -16 + i. What is the tens digit of u(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-w + 7*w - 2*w)*(-4*w - 8*w - 2*w) + 7*w - 3*w**2 + 10*w - 13*w + 1.\nAnswer: -59*w**2 + 4*w + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand -10 + 10 - 2*x**2 + (x - x + 5*x)*(-x - x - 2 + 0*x) + 26 - 26 + 13*x**2.\nAnswer: x**2 - 10*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = -3*h + 27. Let s be u(9). Suppose -4*y - 2*v = -24, -3*v - 1 = -2*y + 3. Let i be (-12)\/(-20) + 2\/y. Solve s = -4*c - 2*w - i + 25, 2*c = 5*w for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f + 5 = -5*q - 10, 2*q - 60 = 5*f. Let l(p) = p**3 + 10*p**2 - 3*p - 15. Give l(f).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 357 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1725 = 3*z - 399. What are the prime factors of z?\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 20*f + 3 - 13 = -50 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -0.1 + 0.1. Let u = -799 - -13585\/17. Sort u, 1, -2\/5, b in descending order.\nAnswer: 1, u, b, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 20.22+-45034940\nAnswer: -45034919.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = -h**2 + 3*h - 8. Let s be b(2). Let q be (-13)\/(-5) + s\/(-15). Factor -12 + 75*d**q + 63*d + 2*d**2 - 63*d**3 - 65*d**2.\nAnswer: 3*(d - 4)*(d - 1)*(4*d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a - 247*o = -244*o - 33, 4*o = -5*a + 66. Let h(x) = 6*x + 2. Let y(k) = 3 - 5*k + 1 - 6. Calculate a*h(l) + 7*y(l).\nAnswer: l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = o**2 + 6*o. Let k be z(-5). Let v(c) = c + 7. Let j be v(k). Suppose 0 = -a + 2*m - 7, 3*a + j*m + 3*m - 1 = 0. Sort 1, a, -6 in increasing order.\nAnswer: -6, a, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 69272 and 224?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 18785592 to the nearest integer?\nAnswer: 4334","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.615079 decades in months?\nAnswer: 313.80948","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = -2*l**2 - l - 1. Let m be j(-1). Let p = 8.1 + -8.151. Let i = -0.551 - p. Which is the second biggest value?  (a) -0.1  (b) i  (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = -j**3 + 3*j**2 + 2*j - 1. Let f(o) = o**2 - 5*o - 11. Let r be f(-2). Calculate g(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 988 + 30*j**4 - 984 + 26*j**2 - 2*j + 2*j as b*j + r*j**2 + i + f*j**4 + x*j**3 and give f.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1 = -5*g + 3*l, 3*l - 14 = -5*g + 5 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 4186.3nm?\nAnswer: 0.0041863","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 19*g**3 + 3714*g**2 - 21105*g = 0 for g.\nAnswer: -201, 0, 105\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Put 8, 2\/5, 3\/4824194 in decreasing order.\nAnswer: 8, 2\/5, 3\/4824194","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 6 and (12\/14)\/(72\/672).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -426 = -v - 427. Let p(z) = -942*z**3 + 2*z**2 + 4*z + 3. What are the prime factors of p(v)?\nAnswer: 23, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = 541*w + 75199. Determine z(-139).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*t**5 + 47144*t**4 - 189630960*t**3 + 276831480800*t**2 - 66519354208000*t = 0 for t.\nAnswer: 0, 296, 3830","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is p in -p**4\/2 - 309*p**3\/4 + 235*p**2\/2 + 78*p = 0?\nAnswer: -156, -1\/2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 943 is divided by 157.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 238 and 602?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 2664153, 2664160, 2664167, 2664174, 2664181?\n\"Answer: 7*v + 2664146","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 24922507?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 15947?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 6233647?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 3 + -325452205?\nAnswer: -325452202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Express (c - 4*c + c)*(-2*c**2 - 3 + 3)*(-3 - 5*c + 3) as h*c**3 + l*c**2 + a*c**4 + v*c + q and give a.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = 2*r. Let m(w) = 7*w**2 - 11*w. Let v(b) = 3*b**2 - 6*b. Let t(q) = 4*m(q) - 7*v(q). What is c(t(y))?\nAnswer: 14*y**2 - 4*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*m - 8 = -4*m. Suppose v + 4*g = m*v, -3*v - 5*g = 0. Let l = v + 2. Solve -l - 1 = -3*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-75)\/6 + -10)*(988\/(-65) + 15).\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 18\/5 of a millennium?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d = -3*v + 15, -11*d + 21 = -8*d - 3*v. Let a be 204\/24 + d\/6. Solve -a - 6 = 4*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t = 34 - 1. Suppose -6*p - t + 35 = 0. Suppose 4*b = -h + 47, p*b + 4*h = -b + 67. What is the remainder when 21 is divided by b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1293 a factor of 167973630?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-5200)\/700*((-1960)\/(-16))\/(-35).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 23*b = -4 - 19 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Does 105 divide 1749?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 11 - 6. Find the second derivative of z + 2*z**3 + 0*z**3 - j*z**3 wrt z.\nAnswer: -18*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-6)\/15)\/(371\/1060)?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000047015 to 5 dps.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = -n**3 - 9*n**2 + 9*n - 10. Let d be f(-10). Suppose 0*v + 2*v - 106 = d. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 39 - (7 - -24) - (-39 - -22).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-38 - 5 - (2 + -2)) + (527 - 526).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let -4*d**5 - 16*d**4 + 208*d**3 + 448*d**2 - 1536*d = 0. What is d?\nAnswer: -8, -4, 0, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round -117047000 to the nearest 1000000.\nAnswer: -117000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7 = -5*v - 2. Suppose 0 = 5*u + 3*y + 7, -4*y + y + v = u. Which is the nearest to 2\/7?  (a) u  (b) 3\/8  (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -7.0038 + 0.0338. Let u = z + 7. Let j = 0.17 + u. Is j greater than or equal to -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -123.9 - -125.9. Which is the nearest to j?  (a) -2  (b) 3  (c) -2\/9  (d) 69\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -226*z + 144 = -128*z - 114*z for z.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*x + 3*x**4 - x**4 - 54 - 35 + 5 + 2*x**4 as s*x + h*x**2 + b*x**4 + r*x**3 + k and give b.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort 17\/6, -4, -12508\/3, 2 in ascending order.\nAnswer: -12508\/3, -4, 2, 17\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 867 and 1054?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u = -2*u + 88. What is the tens digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = -354*f + 1. Let c be n(-5). Let p(j) = -28*j**3 - 2*j**2 + 1. Let q be p(2). Let r = q + c. What is r rounded to the nearest 100?\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of f**3*u + 117*f**2*u**2 + 1795*f*u**2 wrt f?\nAnswer: 6*f*u + 234*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 - ((-25)\/(-5) + 1 + (-16)\/12)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 y and 1 g when two letters picked without replacement from yyoygocacyycpygyy.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -44 - -48. Differentiate -15*u**2 + 0 + v*u**2 - 5 - 9*u**2 with respect to u.\nAnswer: -40*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3*o**2 - 3*o**2 - 6*o**3)*(-3*o - 7*o + 3*o) to the form i*o**3 + l*o**4 + u*o**2 + w*o + v and give l.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 7 + -2. Let b(d) = 3*d**3 - 6*d**2 - 5*d + 3. Let c be b(3). Suppose -4*w + c = 5*a, w - n*w - 41 = -3*a. Is 2 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 - (4 - (-6 + 10))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = 3381*r - 3168. What is the tens digit of j(8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2 in 4, 0.5, 3, -1\/14?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence vvv when three letters picked without replacement from {p: 1, v: 3, n: 4}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-186)\/18 - -2 - (-1)\/3. Let z be (-2 - -6)*22\/g + 1. What are the prime factors of (-2546)\/z - 30\/(-75) - 1?\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 > -13113\/186532?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -18 + 16 + (-7 - -2) + 3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**(-1))**(-2\/7)\/(c*c*c**(-1\/4))**(2\/9)*((c\/(c*(c\/(c\/(c**(-2\/13)\/c)))\/c*c))\/c)\/c*c**(-2)*c**(-5\/4)\/(c*c\/c**(-2\/3)*c) assuming c is positive.\nAnswer: c**(-25769\/3276)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -124\/37 + 720\/259. Let d be (-2)\/20*(-96)\/15. Which is the third biggest value?  (a) d  (b) 5  (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -q**3 - 189*q**2 - 188*q.\nAnswer: -q*(q + 1)*(q + 188)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 504125 and 250.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = -6*w + 252. Let v(d) = -13*d + 513. Give 4*v(z) - 9*x(z).\nAnswer: 2*z - 216","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) be the third derivative of 653*v**5\/60 + v**4\/12 + v**3\/6 + 15*v**2. Is m(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*c = -c - 8. Calculate the least common multiple of c and 6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*f + 2*p - 6 = -0*f, -p + 2 = -2*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1.4 + -14.6. Let c = -16.14 - f. Let j = 0.24 + c. Is -1\/3 > j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(39)\/sqrt(3)*3 + -1 + sqrt(832) + sqrt(13) + (sqrt(1573) + 0)*5)**2*5.\nAnswer: -670*sqrt(13) + 291790","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of (-44)\/286 + 756\/(-1001) + (-2)\/6 and (2\/44)\/((-3)\/50).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -40 + -23. Let a = y + 566\/9. Let j = -7\/2 + 4. Put j, -3\/4, -2, a in ascending order.\nAnswer: -2, -3\/4, a, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*(((sqrt(66)*-1*-4)\/sqrt(6))**2 + 1).\nAnswer: 354","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -6, 6.9, -253635 in decreasing order.\nAnswer: 6.9, -6, -253635","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in 1\/6, 19.12, -2.74?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 49 = 5*l - 8899*w + 8902*w, 4*l = 4*w - 12 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = i**3 - 5*i**2 - 2*i - 4. Suppose 2*z = -f + 15, -5*z = 4*f - 47 - 7. Let m = f + -5. What are the prime factors of t(m)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 13259 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:07 PM and 8:08 PM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -54 - -56. Suppose 0 = -5*k - 3*b - 19, -f*k - 3*k - 22 = 4*b. Is 672 + 1 + 0\/k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (30 - 9 - 16) + -1 + 1 + -13?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 6654, 6655, 6656, 6657, 6658, 6659?\nAnswer: 6660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 1179961 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 224040 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -8880 + 8820 + (-32 - 0)\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*i = 3*i + 100. Suppose -6*r + r = -i. Suppose 34 = 3*p - 3*b - b, -2*b = r*p - 4. Sort -1\/4, p, -3\/8 in decreasing order.\nAnswer: p, -1\/4, -3\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = -6*m**2 + 11*m + 25. Let o(a) = -2*a**2 + 4*a + 8. Let l(k) = -7*o(k) + 2*t(k). Let r be l(5). Solve 0 = -3*f + r + 1 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*j - 3*j**2 + 11*j**3 - 2*j - 19*j**3 in the form q*j**2 + l*j + f + p*j**3 and give p.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 1372*j**6 - j**3*w - 2*j**2 + 42*w wrt j?\nAnswer: 164640*j**3 - 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 1*(-4)\/(-4)*-1*-1\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = 2*s**2 + 21*s - 3. Let i be t(-11). Let n be (-45)\/(-12) - (3 + (-18)\/i). Sort n, -3, -5 in descending order.\nAnswer: n, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 33691710 to the nearest 10000.\nAnswer: 33690000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.2 + 0.3. Let m = 0 + t. Let j = 5.026 + -0.026. What is the third smallest value in j, 2\/9, m?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t = -5*v + 11, v - 5*v = 4*t - 4. Suppose -3*a - a = 0. Sort -1, a, v in increasing order.\nAnswer: -1, a, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = -a**3 - 7*a**2 - 6*a + 2. Let c be t(-6). Suppose 474 = -148*p + 151*p. Suppose -p*n = -166*n - 56. Put n, c, -4 in descending order.\nAnswer: c, -4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 133 divided by -33\nAnswer: -133\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 3993341 to the nearest integer?\nAnswer: 159","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 18\/120*-4*(-8)\/(-12).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 41d (base 14) in base 3?\nAnswer: 1010001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = 2*j. Let m(g) = g + 52. Determine z(m(d)).\nAnswer: 2*d + 104","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = -9*x**2 - 15*x. Calculate l(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 7*r**3 + 5*r**3 - 11*r**3 + r + r**4 - 1 to b*r**4 + m*r**3 + d*r + c + j*r**2 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert 216 (base 7) to base 5.\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -65 - -84. Let p(b) = -b**2 - 3*b + 1. Let h be p(-3). List the prime factors of u + -5 - (-1 + h).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = -65*k + 5. Let u(b) = -b**2 - 883*b. Determine x(u(a)).\nAnswer: 65*a**2 + 57395*a + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = -u + 5. Let b(f) = -2*f + 9. Let o(j) = -6*b(j) + 11*d(j). Differentiate o(r) wrt r.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 11 - -11010101010001111?\nAnswer: 11010101010010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ofo when three letters picked without replacement from fhofooffofo?\nAnswer: 10\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 14\/233 and -101\/6.\nAnswer: 1398","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7577?\nAnswer: 7577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -92\/165 and 97\/30.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) be the first derivative of -7*q**5\/5 - 188*q + 138. Differentiate a(w) with respect to w.\nAnswer: -28*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 33\/((-30855)\/10)*-11?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c = -4, 0*c = -4*b + 5*c + 46. What is the least common multiple of b and 8?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 1\/2*z**3 - 3*z**2 + 5\/2*z + 0.\nAnswer: z*(z - 5)*(z - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -24 - 40. Let f be (q - -64)\/(2\/2*2). Solve -g = -f - 4 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1 + -959\nAnswer: -958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 10 + 1 + 8 + -10.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = -b**2 - 11*b - 7. Let a(c) = 31*c - 412. Let k(h) = 15*h - 196. Let l(p) = -10*a(p) + 21*k(p). What is 7*l(i) + 4*x(i)?\nAnswer: -4*i**2 - 9*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 12475831 is divided by 2838.\nAnswer: 2821","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 649 is divided by 132?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -2 + 8. Let s(r) = r - 3. Let f be s(k). Suppose 4*v = 3*b + 48, 2*v - f*b - 24 = -6*b. List the prime factors of v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = 506*w. Let d(r) = -24*r**2. Calculate i(d(u)).\nAnswer: -12144*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -4*w**5 - 4*w**2 + 6*w**5 + 2*w**5 - w**5 wrt w.\nAnswer: 180*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -12211200 - -222220?\nAnswer: -11211210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-6)\/(-5))\/((-18)\/60). Let o(r) = -r**2 - 9*r - 10. Let j be o(v). Solve -5*c + 4*b = -10, -5*c - 3*b = -8*b - j for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 27 + -21. Let v = c + -2. Calculate the least common multiple of v and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1010010001101100101 (base 2) in base 12?\nAnswer: -142a59","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = t**3 - 27*t**2 + 27*t - 18. Determine m(26).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1.17 in 2, -2\/84813, 0.5, -3?\nAnswer: -2\/84813","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2948 = -7*g - 463. Let j = -253 + g. Suppose 0 = -4*s + 2*z + 130, 10 + 10 = 4*z. Calculate the remainder when j is divided by s.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = -l**3 + l**2 + l. Calculate t(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (d**3 - d**3 + d**3)*(119 - 62 + 140).\nAnswer: 197*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (3 + -1)\/(2\/7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 189 - 177. Let y be 7134\/33 + (-20)\/110 - 6. What is the highest common divisor of o and y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 197 - 196.8. What is the third biggest value in -0.2, b, 0.07?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1340?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is k in 98*k**5\/15 + 14056*k**4\/15 + 48634*k**3\/5 - 254992*k**2\/15 + 108664*k\/15 - 4576\/5 = 0?\nAnswer: -132, -13, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 188827 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + (sqrt(176) + sqrt(176) + (0 + sqrt(176) + -3 - sqrt(176)))**2.\nAnswer: -48*sqrt(11) + 709","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -3 - (-6 + 0 - (-29)\/((-6960)\/(-912)))?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 2*1\/(-4)*2. Let x = -0.4 + -0.2. Let f = x + 0.9. Which is the biggest value?  (a) h  (b) -0.5  (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 244 minutes after 3:49 AM?\nAnswer: 7:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) be the third derivative of t**5\/60 - 5*t**4\/24 + 4*t**3\/3 - t**2 + 140*t. Give l(7).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = -13*r**2 - 3. Let m(v) be the first derivative of -455*v**3\/3 - 104*v + 113. Calculate -104*h(d) + 3*m(d).\nAnswer: -13*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.7 + -0.8. What is the third biggest value in h, 2\/5, -0.13?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3 + 0\/((-10)\/(-5)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 8 - (2 - -10 - 6) - (100 - 41)\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify h**(3\/5)*((h*h*h*h\/(h\/h**(1\/10)))\/h)\/h*(h\/((h**(-1\/6)\/h)\/h))\/(h**4\/h)*(h\/(h**(3\/5)*h*h)*h)\/(h\/h**(1\/6))*(h*h*h*h**0)\/(h*h**0*h) assuming h is positive.\nAnswer: h**(43\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 5 - (3 + (5 - 3)). Solve 4 + z = y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*m**3 + 6940*m**2 + 20846*m - 27784.\nAnswer: -2*(m - 3473)*(m - 1)*(m + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1124 is divided by 25?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express -97*b**2 - 3 + 6*b + 152*b**2 - 52*b**2 in the form u + r*b**2 + i*b and give i.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3\/2, 142\/7, 2\/5.\nAnswer: -3\/2, 2\/5, 142\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 0 - (17 + -7 + -106). Calculate the highest common factor of f and 96.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*m**4 + 1125420*m**3 + 105541887450*m**2 - 1055503282500*m + 2638828546875.\nAnswer: 3*(m - 5)**2*(m + 187575)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = q - 9. Let x be a(6). Let j(o) = 2*o**2 + 4*o + 3. Determine j(x).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence gddg when four letters picked without replacement from ddgdghgggd.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 10736 is divided by 173?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000041460375 to 7 decimal places.\nAnswer: -0.0000415","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 6 + 3 + -5 + 49 + -49 + (86 - 49)\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -931, -935, -939, -943, -947, -951?\n\"Answer: -4*r - 927","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = -p**3 + 4*p**2 - 3*p + 6. Let o = 40 - 37. What is the units digit of c(o)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-2)\/(-6) - (-3 + (-4)\/(-3)). Suppose r = -3*w + 65. Calculate the greatest common divisor of w and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {h: 1, y: 9, t: 1}. Give prob of sequence yhy.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = 8*x + 8*x - 11*x + 4. Let s(i) = -4*i - 3. Let u = 9 + -5. Let h(n) = u*s(n) + 3*r(n). Let k(c) = c**2. What is k(h(p))?\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = 7*t**3 - 5*t**2 - 5*t - 5. Let i(g) = -2*g**2 + 0 - 3*g**3 - 2 + 11*g**3 - 2*g - 5*g**3. Calculate -5*i(r) + 2*u(r).\nAnswer: -r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/(90\/1980*-2*1)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in 0.2, -5, -0.14, 0?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Factor -20 + s**2 + 4 - 8*s + 7.\nAnswer: (s - 9)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-15)\/(-2)*6\/9. Suppose -2*j + d = 1. Factor 64\/7*k + 8\/7 + 22*k**j + 14*k**3.\nAnswer: 2*(k + 1)*(7*k + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 344 - 341. Let u = 0.5 + -1. Suppose -5*a = -33 + 28. What is the closest to a in u, -2, h?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n = -0*z - 2*z - 18, -2*z = n + 6. Suppose -6*w - n*j = -3*w + 4, -w = 2*j + 2. Let y(k) = 2 - 5*k + w - 4. What is y(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -10 + 14. Suppose -m - m - o*y + 26 = 0, 4*y - 16 = 0. Solve -2*j + m*w = 12, 0 = -4*w + 23 - 7 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-16 - 15 + 10 + (-2 + 3 + 0)*(3 - 4 + 3) - 3 - 1 + 5)*(2*m - 2*m - 2*m**4).\nAnswer: 36*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 41857.\nAnswer: 19, 2203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f be -9*(-20)\/8*4\/6. Let d(g) = -g**2 + 6*g + 7. Let z be d(8). Let i(x) = 3*x**2 + 13*x + 9. Let k be i(z). What is the greatest common factor of k and f?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = -4*c**3 + 2*c. Let k = 5 + -16. Let m(u) = 40*u + 238. Let p be m(-6). Let t(v) = 21*v**3 - 11*v. Determine k*y(h) + p*t(h).\nAnswer: 2*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00005871362271 to 5 decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -23 - -56. Let q = 33.95 - f. Let r = 0.9565 - q. What is r rounded to three dps?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-s**3 + 3*s**3 + 5*s**3)*(-2 - s + 2) + (8 - 8 + 7*s)*(1299*s**2 - 137*s**3 - 1299*s**2) to h + b*s**4 + f*s + z*s**2 + j*s**3 and give b.\nAnswer: -966","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = 7*s**3 - 6*s + 18. Let x be h(0). Solve 4*l = -0*l + 3*t - x, -2*t - 2 = 2*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (20\/36)\/((-2)\/6). Let u = -2.9 + 1.9. Which is smaller: x or u?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 5061\/(-14460)*(-48)\/(-105)\nAnswer: -4\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 59 - 117\/2. Factor 0*u**3 + 0 - 1\/2*u**4 + r*u**2 + 0*u.\nAnswer: -u**2*(u - 1)*(u + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9059 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 905482 is divided by 301555?\nAnswer: 817","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 4243?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 3287709 a multiple of 111?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = -2*j**2 + 77*j - 53. What is n(36)?\nAnswer: 127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 1\/5 of a decade?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 28.6*1415.\nAnswer: 40469","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 10253522.7ns in days?\nAnswer: 0.00000011867503125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = f + 9. Let j = 42 - -8. Let m = -55 + j. Calculate u(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -111 + 291. Calculate the greatest common divisor of 100 and s.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = -t**3 - 50*t**2 - 399*t + 61. Let d be h(-40). Solve s = 7*f - 12*f - d, -5*s = -3*f - 7 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 335.3 - -5.7. Let a = 341.000022 - v. Round a to six decimal places.\nAnswer: 0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is six fifths of a millimeter in micrometers?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-3*(sqrt(28) + sqrt(224)\/sqrt(8)) - sqrt(28) - sqrt(700)*-2)\/(-2*-2*(sqrt(576) + sqrt(576)*-3)))**2.\nAnswer: 7\/1024","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 12 - 6. Let x = -124 - -146. Calculate the remainder when x is divided by g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*b**4 + b**4 + 3*b**4 + 0*b**4 - 4*b**4 + 5*b**4 + (2*b**3 - b**3 + b**3)*(1 + 2*b - 1) + b**4 + 25 - 25.\nAnswer: 8*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = -q**5 - q**2 - q - 1. Let y(j) = 3 + 1 + 8*j**5 + 1 + 2*j**2 + 4*j**2 + 5*j. Let r(h) = -5*u(h) - y(h). Find the third derivative of r(x) wrt x.\nAnswer: -180*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c - 6*c = -120. What is the highest common factor of 15 and c?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = -4*w**3 - w**2 + 3*w + 3. Let j(r) = -7*r**3 - 2*r**2 + 5*r + 5. Calculate -5*b(g) + 3*j(g).\nAnswer: -g**3 - g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y + 2 - 4 = -4*k, 2*y + 4*k + 8 = 0. Let x be 0\/2 + (-5 - 3). What is the units digit of 4*(y\/x)\/1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-s**3 - 103*s**3 + 3*s - 71*s**3)*(s**2 - 3*s**2 + 5*s**2).\nAnswer: -525*s**5 + 9*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = n**3 - 5*n**2 - 3*n - 8. Let x be b(6). Let j be 9*1 + 2 + (15 - 16). Calculate the greatest common factor of x and j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 1339353 and 9.\nAnswer: 1339353","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 12*t**2 - 34*t**2 + 6*t**2 + 10*t**2 + 11*t**2.\nAnswer: 5*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.1*6.35297.\nAnswer: 0.635297","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 229117 and 62125.\nAnswer: 497","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2076 is divided by 473?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {r: 7, k: 7}. Give prob of sequence rrkr.\nAnswer: 35\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 72\/5 of a kilometer?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 38358.10044 + -38356. Let p = -0.08 - -2.18. Let y = p - s. Round y to 4 decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.0588 - -0.0418. Round m to 3 decimal places.\nAnswer: -0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-6)\/(-4)*(3 + -1). Let i = z + 3. Let s(o) = o - 1. Let f(h) = -5*h - 2 + 1 - 13*h + 0*h + 19*h. What is i*s(t) - 5*f(t)?\nAnswer: t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -1dd48a + 1a0?\nAnswer: -1dd2ca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -320 + 1?\nAnswer: -314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j\/(j\/(j\/(j*j*j*j*j**(2\/37))*j*j*j))*j**(-11)\/j)**37 assuming j is positive.\nAnswer: j**(-446)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p + 8 = f + 6, 4*f - 8 = 0. Solve -2*d - 157 + 167 = p for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 670 minutes before 3:10 AM?\nAnswer: 4:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 4 - 715?\nAnswer: -711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 23105*z - 46242*z + 23122*z.\nAnswer: -15*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -236 - g - 138*g**2 + 118 + 111 + g.\nAnswer: -138*g**2 - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, -1923, 5, -402 in increasing order.\nAnswer: -1923, -402, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Are 71192 and 70270 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 2060703649 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -0.3, -0.4, 26, -271163, 4\/5?\nAnswer: -271163","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Express (-w**2 + 2*w**2 - 3*w**2)*(-14 - 11 + 24 - w) as u + s*w**3 + v*w**2 + o*w and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 12017, 49468, 112347, 200654, 314389?\n\"Answer: 12714*b**2 - 691*b - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18*o + 0*o + 468 = 0. Let g be ((-5)\/(-4))\/(o\/(-8) + -3). Let i(s) = 3*s + 9. Let a(m) = m + 1. Let j(z) = 4*a(z) - i(z). What is j(g)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 220122112 (base 3) to base 8.\nAnswer: 43061","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q = 24*q + 46. Let m(i) = -365*i + 55. Is 78 a factor of m(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t - 2*t = -3*p + 3, -5*p = -5. Let l(y) = y + y**2 + 10*y**2 - 6 + 7 + 0. Let h be l(-1). Solve t = -2*z - 3*a - 7, 4*z + a + 0 = h for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 6*t - 9*t**4 + 7*t**4 + 4*t**4 + (-3*t**3 - 5*t**3 + 0*t**3)*(1 + 0*t + 3 + t)*(-1 + 4 - 4) in the form v + f*t**3 + l*t**2 + r*t + x*t**4 and give x.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ns when two letters picked without replacement from snsssssnns.\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = 2*p. Suppose 6*z = z - r + 15, -6 = -2*z - 3*r. Suppose -c - 4*s = -z*c + 2, -2*s = -5*c - 3. Calculate u(c).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 a, 2 e, and 1 i when four letters picked without replacement from eeeiipppippia?\nAnswer: 12\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*sqrt(2904)*-1)\/((sqrt(392) + sqrt(392) + -1*sqrt(392))*-3).\nAnswer: -22*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = 122*w + 617. Let f be k(-5). Let x(u) = -2*u**2 + 8*u + 7. What is x(f)?\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (10 - (11 + 0 - 7)) + 30 + 0 + -8.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = -q**3 + 11*q**2 + 784*q - 12804. Let i be g(16). Which is smaller: i or -4622\/3?\nAnswer: -4622\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of j**5 + 9*j - 11*j - 11*j**5 wrt j?\nAnswer: -200*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = -u**2 + 77*u - 1064. What is o(58)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = 2097*q**2 + 141*q - 420. Is 11 a factor of o(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 8 - 1)*(-2*i + i - i)*(3 - 1 + 0).\nAnswer: -20*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -12?  (a) -0.1  (b) -3\/10  (c) -157  (d) 2.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**(-20)*(f\/(f*f**(1\/11)*f*f)*f)\/f)**(-3\/38) assuming f is positive.\nAnswer: f**(729\/418)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 1\/6, 46, -6, 2\/5?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Factor -z**2 - 2987*z + 2988.\nAnswer: -(z - 1)*(z + 2988)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 at least as big as -30\/53?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find m, given that 14*m**5\/3 + 86*m**4 + 1214*m**3\/3 + 74*m**2 - 1228*m\/3 - 160 = 0.\nAnswer: -10, -8, -1, -3\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 630*a**2*c**2 + 326*a**2 + 2*a*c**3 wrt c.\nAnswer: 1260*a**2*c + 6*a*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h + 2*k + 29 = -3*k, h - 3*k = 15. What is the lowest common multiple of -2*3\/6*2 + h and 142?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + (sqrt(21)\/(sqrt(9)\/sqrt(3)*-6) + -3)**2 + -4*-1*sqrt(343) + 1*sqrt(343) + 5.\nAnswer: 331\/36 + 36*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = -2*w + 3. What is u(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.4 and 0.0568314?\nAnswer: 0.02273256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 17 a factor of 2206?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand s - s - 2*s + 6*s - 5*s - 5*s - 3*s + s + s + 1 - 1 - 2*s + 0 + 2*s + 0 + (1 - 1 - 2)*(s - 5*s + 2*s) + 0*s + 3*s - s + 2 + 2*s - 2.\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 102654204 divided by -3?\nAnswer: -34218068","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2484*c**2 - 2 - 3*c**3 - 1708*c**2 + 767*c**2 + 1.\nAnswer: -3*c**3 - 3425*c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify n**(-1)*n\/n**11*n**(-11)\/n**4 assuming n is positive.\nAnswer: n**(-26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-5)\/(4\/(-5 + 1)). Let -3*p**5 - 11*p**5 + 4*p**4 + 13*p**z = 0. What is p?\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = 3*j - 7. Let v be r(6). Suppose v*m = 6*m + 370. Calculate the remainder when m is divided by 25.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (3\/5)\/((-2)\/(-10)). Let f = -12669 + 12669. Let j(q) = q**2 + 6*q + 7. Let w be j(-5). Which is the closest to f?  (a) 0.2  (b) w  (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 144 and 175248?\nAnswer: 175248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -265.6 + 266. What is the smallest value in -0.5, 51, d?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-8*v**3 + 4*v**3 - 16*v**3)*(v**2 - 1 + 1).\nAnswer: -20*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = -2*u**3 + 2*u**2 + u + 2. Let r be d(2). Suppose 0 - 3 = -l. Let x = l + r. Which is smaller: x or 1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -29*x**3 + 3*x**4 - 2 - 3*x**4 + 65*x**3 + 28*x - 34*x**3 - x**2 + x**4 to k + v*x + c*x**3 + n*x**2 + h*x**4 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 6049 + 1083. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -40 - -23. Let o = 32 + j. What is the remainder when 42 is divided by o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 84*g + 1 - 1 - 123993*g**2 + 124063*g**2 in the form l*g + c*g**2 + i and give l.\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is -34\/21 > -13.9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:58 PM and 11:48 PM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 0, -1\/4, 2 in descending order.\nAnswer: 5, 2, 0, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 94 is divided by 29?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (0 - 2\/5)\/(8\/160). Let m be l\/(-20) + (-33)\/(-5). Suppose 10*h = 13*h - 9. What is the greatest common factor of m and h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 12220 + 10?\nAnswer: 20000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = -m**3 - 4*m**2 - 5*m - 5. Let u be n(-4). Let f = u - -11. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 2 + 6. Let o(j) = j**3 - 4*j**2 - 9*j + 2. Let h be o(6). Solve l = 3*z + h for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -11969672 divided by -5984836?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-4899)\/46*(-4)\/6. Let o = -51 + d. Solve 3*p = -5*l + 4*p - o, -4*l + 5*p - 16 = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 49\/98*(22*10)\/5?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Determine q so that -10368*q**5\/7 - 17872416*q**4\/7 + 418292110*q**3\/7 - 3185798150*q**2\/7 + 1249710000*q - 7861500000\/7 = 0.\nAnswer: -1747, 20\/9, 75\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 11334*h**3 - 2 - 5*h**2 + 5*h**2 - 11336*h**3.\nAnswer: -2*h**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 4 - 0. Suppose 7*y = 6*y + 7. Suppose 0 = -y*j + m*j + 12. Calculate the smallest common multiple of j and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 27\/108*87*9\/(-39). Which is bigger: -6 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -5980*l**4 - 2*l**2 + 1 + 4*l**2 - 5576*l**4 + 9237*l**4 to the form b*l**2 + a + u*l**4 + x*l + h*l**3 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-3)\/(-44) - (-34)\/187. Put w, -5, 3, 2\/23 in increasing order.\nAnswer: -5, 2\/23, w, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 5\/(-5 - -9 - -1). Let n = -27 - -32. Solve 4*d - 20 = n*q, -2*q = 5*d + 7 + x for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -95442 divided by 3\nAnswer: -31814","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 27309 rounded to the nearest one hundred thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 804400 is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 613 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.316768861 rounded to 1 dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 22*j - 9*j - 90 = 3*j for j.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 491870?\nAnswer: 2, 5, 101, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 3*-1 + (-35)\/(-5). Suppose -o*x + 5*x = 178. Find the common denominator of -19\/4 and x\/10*2\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 k and 2 u when four letters picked without replacement from kccukgukkkcckcccckuu?\nAnswer: 42\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = -r**2 + 1. Let g(n) = 3*n**2 + 2*n + 27. What is g(a) + 2*s(a)?\nAnswer: a**2 + 2*a + 29","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is g in -12*g**5\/5 + 2444*g**4\/5 + 123392*g**3\/5 + 387104*g**2\/5 + 29376*g - 307008\/5 = 0?\nAnswer: -39, -2, 2\/3, 246","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Factor -12\/5 + 3\/5*m**2 + 1\/5*m**3 - 4\/5*m.\nAnswer: (m - 2)*(m + 2)*(m + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = -3*a - 4. Calculate u(-8).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 111, 213, 313, 411, 507, 601?\nAnswer: 693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 52 divide 1116960150?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 156420 rounded to the nearest 1000?\nAnswer: 156000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -267, -264, -245, -204, -135, -32, 111, 300?\nAnswer: 541","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -30253, -54549, -78845, -103141?\n\"Answer: -24296*f - 5957","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = -c**3 + 7*c**2 + 11*c - 15. Calculate the smallest common multiple of 24 and u(6).\nAnswer: 696","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 33 + -31. Suppose -24 + 120 = y*o. What are the prime factors of o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 324559488 and 396.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Determine x, given that 5*x**2 + 2561620*x - 58919905 = 0.\nAnswer: -512347, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -2.7 * 1\nAnswer: -2.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 99 - (4 - (-1 - -5)). Let o be ((-4)\/(-14))\/(p\/21). Is -1 greater than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 6 divide 455?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: (1\/(-4))\/((-6)\/(-72)*-2)\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 a and 3 t when four letters picked without replacement from {a: 1, t: 10, g: 4, r: 3}?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = 2589*m**3 - 5*m**2 + 984. Let d(z) = -1294*z**3 + 2*z**2 - 491. Let x(v) = 5*d(v) + 2*q(v). Differentiate x(n) wrt n.\nAnswer: -3876*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"}
{"text":"Question: Factor -2*y**3 - 6*y**2 + 44*y + 48.\nAnswer: -2*(y - 4)*(y + 1)*(y + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 7533740999 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 24384, 24385, 24386, 24387, 24388, 24389?\n\"Answer: c + 24383","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:04 AM and 6:20 AM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 2616, 5270, 7956, 10674, 13424, 16206, 19020?\n\"Answer: 16*i**2 + 2606*i - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 r, 1 k, and 1 b when three letters picked without replacement from ikbkkbbbrki?\nAnswer: 16\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0 + 2*z + 0)*(4009 - 8156 + 3694) to f + c*z and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(144) + -1*sqrt(144) - sqrt(144))\/(sqrt(22)\/sqrt(99)) - (sqrt(16)\/sqrt(8)*-6 + -1*sqrt(50)).\nAnswer: -7*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w*(w\/(w\/((w*(w\/(w*(w**0\/w)\/w*w))\/w*w*w*w)\/w)))\/w)**14\/(w**18*w\/w**42) assuming w is positive.\nAnswer: w**65","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-5)\/((12025\/52)\/(-37)).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w*w**(1\/3))\/(w\/w**(1\/4))*(w**(-2\/5)*w*w*w)**(1\/61)*(w**(4\/11)\/w**(-2))**(-1\/45) assuming w is positive.\nAnswer: w**(69259\/120780)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*m - 101 = -y - 33, -4*m + 3*y + 52 = 0. Suppose 0 = -5*w + m - 6. Let r(z) = 0*z**2 + 3*z - w*z**2 + 3*z**2 - 2*z**2 - 2. Calculate r(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from fmvrfmmm.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in one tenth of a meter?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 14 + -19 - (0 - 6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.2 minus -0.02841?\nAnswer: 0.22841","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*o + 294915 - o - 147444 - 147471 - o.\nAnswer: 3*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = -4*c + 4. Let r be j(-1). What is the greatest common factor of r and 188?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 125438 * -0.2.\nAnswer: -25087.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 49723 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 2719040209 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1022222012121 (base 3) to base 5.\nAnswer: 140124020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 2596 - 2594. Let u(v) = -v**2 - v. Let n(w) = 3*w**2 + w - 2. Let x(t) = n(t) + 2*u(t). What is x(c)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 355 and 142?\nAnswer: 710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 1149122329 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1739 and 94?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f = 4*o - 46706, -4*f - 36107 = 5*o - 94488. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = 229*s + 410. What is the thousands digit of f(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"}
{"text":"Question: Factor -4*i**2 + 756064*i - 35727048256.\nAnswer: -4*(i - 94508)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, 0, -6, -3 in decreasing order.\nAnswer: 5, 0, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 258*g - 22680 = -72*g + 142*g - 316*g for g.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) be the second derivative of -2*k**4 + 0 + 2 + k - 14. Let h(d) = -3*d. Calculate h(x(o)).\nAnswer: 72*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*m = 96*d - 94*d + 2, 10*d - 4*m + 42 = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, 10, -2, 35078, -4, -1, -3 in ascending order.\nAnswer: -4, -3, -2, -1, 4, 10, 35078","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:48 AM and 1:58 PM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*v - 9*v + 85. Suppose -3*g = -q - 2 + v, -2*q - 6 = 3*g. Suppose -6 = -q*z, -342 = -5*d - 5*z - 72. Is d a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = b**3 - b + 1. Let k be 56\/7 - 1 - 2 - 6. Let n(p) = -p + 1. Determine k*n(f) + m(f).\nAnswer: f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -231 + 236. Which is the nearest to 0.2?  (a) r  (b) -96  (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k = 6*k + 5. Let n be 4\/10 - 2\/5. Is k > n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 75 = 4*y - h + 286, -2*y = -h + 107. Let i = 155 + y. What is the hundreds digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = -4*n + 28*n**3 + 5*n**2 + 3*n - 27*n**3. Let a be v(-5). Suppose 0 = 6*b - b - 10. Calculate the greatest common factor of a and b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 49 + 49 + 46 - 144 + 19*v**3 + v**3.\nAnswer: 20*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Express -7*i**4 + 127*i**3 - 127*i**3 - 2*i**2 - 2 in the form s*i**2 + k*i**4 + d + j*i + c*i**3 and give k.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -5 - 30?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = -s**3 - 6*s**2 - 12*s - 12. Let y be p(-4). Solve 56 = y*w + 36 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = 2*k**2 + 0*k + 3*k - 7 + 15*k**2 + 11. List the prime factors of p(-2).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (1 + -3)*6\/4. Which is the nearest to 2\/5?  (a) 4  (b) 1  (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 183257 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Work out -32316 * 2032.\nAnswer: -65666112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c = -4*c + 15. Solve 3*w = 2*w + c for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence nnl when three letters picked without replacement from nnnnlnnnnnnn?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -35*q - q + 180 = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.9041423 micrometers to centimeters.\nAnswer: 0.00009041423","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 11937719 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -178, -11076, -29238, -54664, -87354, -127308, -174526?\n\"Answer: -3632*q**2 - 2*q + 3456","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 7569.981ug?\nAnswer: 0.007569981","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.8483377 * 1.\nAnswer: 0.8483377","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.3 in -4, -3\/5, 2\/11, 8\/5?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 7992141039 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3255*x + 210 + 3255*x - 210 + 2*x**3 - 15*x**3.\nAnswer: -13*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Work out -789 * 753232.\nAnswer: -594300048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x - 5 = -3*o, 5 = o + 3*o + 3*x. Let r = -14.2 + -79.8. Let n = 88 + r. What is the closest to n in -0.4, 0.2, o?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 284 is divided by 48?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 20359855?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Put 57, -1, 2, 1 in decreasing order.\nAnswer: 57, 2, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = 0*f - 9*f**3 + 8*f**3 + 1 - 2 - f. What are the prime factors of y(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = u**3 - 3*u**2 - 14*u + 656. Give h(0).\nAnswer: 656","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.32147 take away 16905?\nAnswer: -16905.32147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f\/(f\/(f**(-7\/3)*f)*f))\/(f\/(f**7*f)*f)*(f\/f**(-1))**17 assuming f is positive.\nAnswer: f**(113\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = 11*t**2. Let c(x) = -28 + 68 - 27 - 9*x. Let j(m) = 4*m - 6. Let u(f) = -6*c(f) - 13*j(f). Determine q(u(p)).\nAnswer: 44*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:15 AM and 5:58 PM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: (3834\/4047)\/(3\/(-38))\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 69\/(-15) + 2\/(-5). Let v(a) be the second derivative of 3*a**2 + 1\/3*a**3 + 0 - 4*a. Give v(r).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -276\/7*y**2 + 4\/7*y**3 - 252*y - 2700\/7.\nAnswer: 4*(y - 75)*(y + 3)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q - d - 77 = 0, 2*q - 2*d = 3*q - 35. Calculate the highest common factor of 27 and q.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -343, -312, -271, -214, -135?\n\"Answer: w**3 - w**2 + 27*w - 370","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t*((t**(1\/12)\/t)\/t)\/t*t*t\/(t**(-3\/14)\/t))\/(t**(-8\/3)\/t**(-2)) assuming t is positive.\nAnswer: t**(55\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.023964 and 0.04.\nAnswer: -0.00095856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 8 a factor of 5419?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 25 - 377\/15. Let o = -4.2 - -0.2. Which is the biggest value?  (a) -0.2  (b) o  (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1001011100110001 - -10?\nAnswer: -1001011100101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -531639, -531698, -531803, -531954, -532151, -532394?\n\"Answer: -23*b**2 + 10*b - 531626","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y = -3*b, 4*b - 17 - 3 = 0. Let r be ((-32)\/(-10))\/(1\/5). Suppose -4*v + 35 = -5*q + 1, 0 = -2*v + 3*q + r. Solve y*g = v - 1 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = i**2 + 2*i - i**2 + 3*i**2. Let w be n(1). Suppose -w*a + 522 = 102. List the prime factors of a.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -528, -1054, -1580?\nAnswer: -2106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -5 + 40e2?\nAnswer: 40dc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 343 and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) be the first derivative of 39*c**5\/5 - c**4\/2 + 46*c**3\/3 + 13. What is the third derivative of h(j) wrt j?\nAnswer: 936*j - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = 35*m - 18. What is the tens digit of o(3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = 14*h + 3. Let r be b(3). Suppose 5*j = 4*z + 9, -5*j + 0*z = 5*z - r. Suppose -3*i - 14 + j = 0. Let k(t) = -t - 4. Determine k(i).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**(1\/7))**(21\/4)*((v**1*v)\/v*v)\/((v\/(v**(-3\/19)*v))\/v) assuming v is positive.\nAnswer: v**(273\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i\/(i\/i**(5\/7)))**(-47))**(-7) assuming i is positive.\nAnswer: i**235","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 39175?\nAnswer: 5, 1567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y + 75 = 3*b - 113, -3*b = 5*y + 449. Which is bigger: -90 or y?\nAnswer: -90","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = -399*t + 7. Is 7 a factor of u(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from llplpllp. Give prob of sequence lpp.\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Add together 1.58 and -80366397.\nAnswer: -80366395.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 296 minutes after 4:58 AM?\nAnswer: 9:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 130 minutes after 8:07 PM?\nAnswer: 10:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 106, 227, 348, 469, 590?\nAnswer: 711","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 12526015517 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2*l**2*p*q + 1085*l**2*p + 3853*l**2 - l*p - 21*l*q - 7143*l - 1 wrt l?\nAnswer: 4*p*q + 2170*p + 7706","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 57\/5 of a millennium?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ub when two letters picked without replacement from {b: 1, r: 1, c: 5, u: 5}.\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express -14 + 178*m + 11 + 40*m - 20*m**2 + 22*m**2 in the form k*m**2 + v*m + u and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = l. Let c be y(-7). Let a be 220\/(-14) - (-2)\/c. List the prime factors of -16*((-4)\/a - 1).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4*p**2 + 4*p**2 - 5*p**2 + (4*p + 0*p - 5*p)*(4*p - 3*p - 3*p + p + 2*p - 4*p + (-2*p + 5 - 5)*(4 - 6 + 0) - 3*p + 2*p - p).\nAnswer: -4*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.28 + 0.68. Let j = 0.0183 - -4.6417. Let o = -0.66 + j. Which is the fourth biggest value?  (a) -5  (b) z  (c) -2  (d) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence skj when three letters picked without replacement from {j: 1, i: 1, k: 10, s: 2}?\nAnswer: 5\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = a + 10. Let o be g(-7). Let i be (o\/2)\/(1\/2). Suppose i*m = 31 - 4. List the prime factors of m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -30 + 70. Let x = -17 + r. What are the prime factors of x?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*d = 1 - 16. Let v be (-19)\/(-95) + 338\/10. Let t = -33 + v. Put d, t, 2 in increasing order.\nAnswer: t, 2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -312342203 (base 5) to base 8.\nAnswer: -4736164","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 69*y = 73*y + 12. Sort 3, y, 4, -4 in descending order.\nAnswer: 4, 3, y, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 432 + -407. Suppose 0 = f*i - 164680 - 282345. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6303 - 2018 = 180*j - 2195 for j.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -359 - 2*t**3 + 359.\nAnswer: -2*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {u: 1, s: 1, g: 11, m: 2}. Give prob of sequence sgug.\nAnswer: 11\/3276","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from tnnqwwha. What is prob of picking 1 q, 1 t, 1 n, and 1 h?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) -4  (b) -3  (c) 1\/2  (d) -185\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from actltwgc. What is prob of sequence at?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 586811309 a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) be the first derivative of -4\/21*k**3 + 0*k - 3 + 1\/14*k**4 + 1\/7*k**2. Factor w(n).\nAnswer: 2*n*(n - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -74.26 <= -33\/35?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12 = -5*d + 2*d. Let m be (-27)\/(-12) + (-884)\/208. Is d\/m*(-14)\/4 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5421 + 5632 = 45*u - 287. What is the remainder when u is divided by 241?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = -116*z + 11. Let h(w) = -115*w + 10. What is 6*h(c) - 5*s(c)?\nAnswer: -110*c + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/19?  (a) 0.8  (b) -4  (c) 0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -1085 - 2002988.3077\nAnswer: -2004073.3077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v + 9 = 7*v. Suppose -5*r + 46 = 3*t, r = -v*t + 8 + 6. Is (2 + (-164)\/r)*-2 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 831*a**2*c**3 - a**2*c**2 - 13*a**2*c - 590*a*c**3 + c**3 - 56*c + 20 wrt c?\nAnswer: 4986*a**2 - 3540*a + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/40 of a kilometer in centimeters?\nAnswer: 7500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 7062\/(-17976)*6\/(-33).\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*sqrt(832) + 1 - sqrt(832) - 6*2*sqrt(832))**2 + 0 + 4.\nAnswer: -192*sqrt(13) + 119813","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -22.44 - -22.24. Let v = 3.1 + -3. What is the biggest value in b, v, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 56944 is divided by 56717.\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 2\/321 - -2029\/642. Let f = z + -343\/60. What is the common denominator of f and -24\/35?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -161*o + 9020 = -106*o. What is the greatest common divisor of o and 820?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2004240 divided by 3.\nAnswer: 668080","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = -8*t**2 - 40682*t + 571109. Give k(14).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -65 divided by 104599\nAnswer: -65\/104599","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is -124\/25 at most -305.9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 418132 + -3.8.\nAnswer: 418128.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 6\/3 + ((-8)\/(-7) - 2)\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = 210*z + 117. Let b be u(20). Suppose 480 = -9*x - b. Round x to the nearest ten.\nAnswer: -530","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f = -5*q + 41 - 4, 4*f - 3*q = -3. Let g = 23 - f. Solve 4*n - 1 + 5 = -2*b, g = -5*b for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 q and 2 a when four letters picked without replacement from qqaataqqaqtqqttaqt?\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = -29*c + 10*c - 3 + 11*c + 7*c. Calculate v(-7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 172652 + 454?\nAnswer: 173326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -3*n**2*q**3 + 879*n**2 - n*q**2 - 12113*q**4 wrt q?\nAnswer: -18*n**2 - 290712*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -8 + 46. Let v(j) = -2*j + 136. Calculate the remainder when v(-6) is divided by g.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 2 = 143\/268?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -16 + 15.3. Let f = l + 1.7. Let b = 1.00002 - f. Round b to 5 decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 70\/56*128\/440?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/7?  (a) -0.3  (b) -3\/8069  (c) -2\/3  (d) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 5986928977 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 247 in -2, -3, -0.5, 84, 3\/5?\nAnswer: 84","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 13322 (base 11) to base 4.\nAnswer: 10221031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 210*s**3 - 54*s - 365*s**3 - 1 + 152*s**3 to the form b*s**2 + y*s**3 + k + l*s and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -34.2, -2, -4.\nAnswer: -34.2, -4, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 319111?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -2015 divided by 403\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*f = 61*l - 66*l - 21, -13*f = 26 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 19, 14, 7, -2, -13, -26?\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*sqrt(209)*-3 - ((sqrt(209) - (sqrt(209) - (sqrt(209) - (sqrt(209) + sqrt(209)*-2))))*3 + sqrt(209)))\/(5*sqrt(704) + sqrt(110)\/sqrt(250)).\nAnswer: -50*sqrt(19)\/201","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*k = 122 + 8. Let z = k - 9. Suppose 0 = 2*i - z - 13. Is i a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 69 - 0 - (-7824936)\/(-95136).\nAnswer: -53\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-4*(sqrt(77) + ((sqrt(77) - (sqrt(77) - sqrt(77)*5)) + sqrt(77))*5))\/(-1*sqrt(567) + (sqrt(63) + -1*sqrt(63) - sqrt(63))))**2.\nAnswer: 10571\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 10 - -1. Solve -6*m = 3*j - d*m, -4*m = 5*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {a: 2, c: 2, d: 11}. Give prob of sequence cd.\nAnswer: 11\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -17328*m - 701*m**2 + 17328*m.\nAnswer: -701*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.076 and 0.2.\nAnswer: 0.0152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -788*j - 8*j**2 + 788*j.\nAnswer: -8*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 2438 - 2437.8. What is the nearest to 1 in -2\/3, x, -31.3, -4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((u**(-2\/5)*u**6*u)\/(u**(1\/3))**(2\/9))**(-1))**(-1\/2) assuming u is positive.\nAnswer: u**(881\/270)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = 16*t**2 - 315*t + 1298. Give i(4).\nAnswer: 294","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l - 4*w + 6 = 0, -4 = 3*l - 2*w - 21. Let a(q) = 41*q + 32. Let k(d) = -40*d - 35. Let g(r) = l*k(r) + 4*a(r). Differentiate g(n) with respect to n.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*k + 2 = 2*g, 0*k = 3*g - k - 8. Let h be ((-5)\/(-10)*-3)\/g. Put -0.2, -1\/6, h in ascending order.\nAnswer: h, -0.2, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = j + 1. Let u(m) = m**3 - 86*m**2 + 2*m + 7. Give -4*s(r) + u(r).\nAnswer: r**3 - 86*r**2 - 2*r + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 284\/81 + -1817\/1296. What is the common denominator of o and 55\/144?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c*c**(3\/2))\/c*c)\/(c**(-7)\/c) assuming c is positive.\nAnswer: c**(21\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = -j - 3. Determine c(-23).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(12)\/(sqrt(16)\/sqrt(4)) + sqrt(3)*1*-3 + 3.\nAnswer: -2*sqrt(3) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:42 AM and 3:23 PM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/32?  (a) -5  (b) -2\/11  (c) 0.3  (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 75 - 3 - 26 - ((-6 - -6) + 6)\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -15*x + 28*x - 65. Solve x*a - 24 = -h, -a = 4*h - 6*a + 29 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q + 4 = -5*r, 5*q + 3*r - 14 = -4. Let f = 5 - q. Solve 2*d - 2*l = -0*l - 6, -f*d = -l + 11 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k**(-1\/3))**(-9)\/(k**2)**(-42))\/(k**(-2)*(k\/k**(-2\/13)*k)\/k)**7 assuming k is positive.\nAnswer: k**(1208\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 14472503 is divided by 155.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (g + 2*g - 5*g + (1 + 0 - 3)*(2*g - g + g) + 76*g + 0 + 4 - 80*g)*(2 + 1 - 4)*(2 + 1 + 0).\nAnswer: 30*g - 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) be the second derivative of 1\/5*y**6 - 2*y**4 + 0 + 3\/10*y**5 - 3*y**2 + 7\/2*y**3 - 1\/14*y**7 + 3*y. Determine b, given that z(b) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -504981327 - -4.\nAnswer: -504981323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1 + (6 - -10) + -26?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 26.744 - 25.744. Which is the nearest to -23?  (a) -4  (b) q  (c) -1  (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1867 - 34418 = -3*j - 56*j. Is 3 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1297?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 12465785.\nAnswer: 5, 89, 109, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7*c - 33*c + 10*c + 7*c.\nAnswer: -9*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00000130908 rounded to seven decimal places?\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = p**3 - 5*p**2 - 3*p - 2. Let i be o(6). What is the units digit of 3\/(-1) + 3 + i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*u = 9*u - 4. Solve -u*k = -2 - 4 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 94\/27 - 362\/135. Let w = 3.1 - 0.1. What is the nearest to 2\/7 in w, u, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -991*l - 4*l**3 + 238*l + 248*l + 244*l + 261*l.\nAnswer: -4*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:44 AM and 9:11 PM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 159 - 159.0368. Round j to 3 dps.\nAnswer: -0.037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1831366?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -2 - -6. Suppose -3*m + l*m = -2. Let y be 11\/4 + 2\/8. Put -4, y, m in increasing order.\nAnswer: -4, m, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 197 minutes before 8:55 AM?\nAnswer: 5:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 739002 is divided by 42.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*o**2 - 3*o**3 - 2*o**2 + (5*o - o - o)*(-6 + 3 + 29)*(-4*o + 2*o + 0*o)*(4 - o - 4).\nAnswer: 153*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (d**3 - d**4 - d**3)*(0 + 0 - 2*d) + 2*d**5 - 3*d**2 + 3*d**2 + 2*d**5 + 2 - 2 + (2*d - 2*d - d**2)*(2*d**3 - d**3 - 2*d**3) + 2*d**5 + d**5 - 2*d**5.\nAnswer: 8*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 1.5, -1.37, 14\/5?\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + -3*(sqrt(17) - (sqrt(17) + -1))**2*6.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*b + 4*r - 8*r = -45, 20 = -b + 3*r for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Round -3927920 to the nearest ten thousand.\nAnswer: -3930000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 262963284?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b8b (base 14) to base 5\nAnswer: 33104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 2010 (base 4) in base 10?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 62894667 - 62894697.9999961. Let f = -26.4 - 4.6. Let c = z - f. What is c rounded to six dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = f**2 - 3*f - 26. Let l(v) = 2*v**3 - 16*v**2 + 16*v - 7. Let x be l(7). What is the lowest common multiple of 35 and s(x)?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 3536\/111384 + (-4142)\/(-504). Factor -7*h + c*h**2 + 1.\nAnswer: (3*h - 2)*(11*h - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 133 - -120?\nAnswer: 303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Add together -3135.777 and -5.\nAnswer: -3140.777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 17104, 34217, 51334, 68461, 85604, 102769, 119962, 137189?\nAnswer: 154456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = 2*c**2 + c + 2. Let p be j(-2). Let s be (100\/p)\/(1\/10). Suppose 5*n - 108 - 11 = 3*i, -5*n + 5*i + s = 0. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) be the first derivative of -v**2 - 52*v - 7441. Let s(q) = q**2 - q**2 + 2*q**2. Give s(o(t)).\nAnswer: 8*t**2 + 416*t + 5408","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10*h + 13*h + 14 = 4*a, -4*a + 24 = 2*h for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1 by -52904.\nAnswer: -1\/52904","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -44262, -44014, -43602, -43026, -42286?\nAnswer: -41382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) be the second derivative of 7*s**4\/12 - s**3\/2 + 31*s**2\/2 - 41*s. Differentiate p(v) with respect to v.\nAnswer: 14*v - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:17 PM and 7:49 PM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 2a - -49eda?\nAnswer: 49f04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -24 - (23 + -66) - 1\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*d = -117777 + 4144. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence mot when three letters picked without replacement from {m: 2, t: 1, o: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = 2*g - 1. Let k be w(3). Suppose -2*j - 2*y = -16, k*j + y = -4 + 52. Suppose 11*v - j*v = 4. Solve 2*t - 4 - v = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -197 times -13646\nAnswer: 2688262","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s*s*(s*s\/(s\/s**(-10\/7)))\/s*s)\/(s\/((s**(-9\/2)\/s*s)\/s)) assuming s is positive.\nAnswer: s**(-69\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*w + 15*w - 14*w + 47*w.\nAnswer: 52*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*r = 57 - 69. Let l(u) = 65*u**2 - 7 - 5 - 61*u**r + 12. Let p(n) be the second derivative of -13*n**4\/12 - n. Determine l(p(t)).\nAnswer: 676*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Does 203 divide (6 + 12412 + 2)\/((-18)\/(-12))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 806 >= -2.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*k**2\/15 + 152*k\/5 + 1314\/5 = 0. What is k?\nAnswer: -219, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 12 - -12?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 80 - 80. Suppose 40 = -k*r + 2*r. What is the units digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum -0.5 and 714993.06.\nAnswer: 714992.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1114653 and 366.\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = -30*x**2. Let o(c) be the first derivative of 3*c**2 - 542. What is a(o(v))?\nAnswer: -1080*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: (102\/459*-9)\/((-2)\/(-41))\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 16*u**6 - 43*u**4*z + 81*u**2*z - u**2 + 2*z - 1 wrt u?\nAnswer: 1920*u**3 - 1032*u*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 56463401 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:31 PM and 5:04 AM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = z**2 - 9*z + 2. Let x be i(9). Put x, -5, -1, -2 in descending order.\nAnswer: x, -1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -33 + 23. Let j = 0.07 + 10.93. Let x = v + j. Which is smaller: -1\/14 or x?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7273734.\nAnswer: 2, 3, 13, 93253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -31\/40 and -13\/64?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 744\/186*2\/(-8)*3\/(-4)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*r = t - 5*r - 1, -2*t = -2*r - 10. Let d be t*(-2)\/(-8)*2. Suppose 3*z - z - 1237 = -3*a, 4*z = d*a - 1207. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5 + 5 - 25)*(3*z + 0*z - z) + (2 + 1 - 1)*(-2*z + z + 2*z) - 3*z + 5*z + 0*z.\nAnswer: -26*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 224 or 156?\nAnswer: 224","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {b: 1, h: 6, a: 2, g: 5, d: 1, v: 2}. Give prob of sequence vg.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*l + 4*w - 7*w - 91, 4*w = -20. Solve -c + 3*h = -6*c + l, 2*c - 6 = -2*h for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 31723 is divided by 7928?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) be the first derivative of z**4\/2 - 2*z**3\/3 - 2*z**2 + 3*z + 11. What is the remainder when k(4) is divided by 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -34*s + 30*s + 3*u = -95, -205*u = 3*s + 204*u - 412*u - 75 for s.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Determine j so that -36*j**2\/5 + 387244*j\/5 + 86056\/5 = 0.\nAnswer: -2\/9, 10757","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 18\/13 and -43\/1178138.\nAnswer: 1178138","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*(sqrt(88) + 4*4*sqrt(88) + sqrt(88)))\/((5*sqrt(128) - sqrt(128))*5) + 0.\nAnswer: 27*sqrt(11)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 112 + 22 + 0\/(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 4, -1\/4, -4\/7, -0.4, -350?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -39, 871.\nAnswer: -39, 2, 871","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: (-15 - -24) + (-22 - (-2 + (13 - 1)))\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*r + 2 = r - 2*f, -5*r + 3*f = -1. Let q be (-6)\/(-33) - (-4)\/(-22). Suppose q = 4*s - 0*s. Solve -2*y + s*y + r = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 7958 and 46?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Express (-9*v + 2*v + 0*v)*(0 - 38*v + 2 + 44*v) as j + r*v + d*v**2 and give r.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is thirty-seven fifths of a centimeter in millimeters?\nAnswer: 74","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-8)\/(-2) - 9)*-1. Suppose 5*f - 3*c = -233, -4*c + 67 = -o*f - 167. Let n = f - -47. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 182 divided by -13.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 588189 times 0.2?\nAnswer: 117637.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = -20*h**2. Let g(k) = k - 1. Let z(t) = t**2 - t + 1. Suppose 4*c + 5*b = -9, 2*b = 2*c - b - 1. Let f(n) = c*g(n) - z(n). Give f(i(a)).\nAnswer: -400*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 16527, 33618, 50709, 67800?\nAnswer: 84891","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 821992780 rounded to the nearest one million?\nAnswer: 822000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from ispyppppmsipip.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w - 4*m + 31 = 0, 0*m - 17 = 2*w + m. Let o = -11 - w. Solve o = -5*p + 7 + 13 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -46739c + 22?\nAnswer: -46737a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = -290*r**3 + 3*r**2 - 428*r + 3. Let t(y) = -y**3 + y**2 + 1. Let w(d) = 3*t(d) - v(d). Find the second derivative of w(l) wrt l.\nAnswer: 1722*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.6 + -2661?\nAnswer: -2662.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = -s**2 - 8*s - 4. Let z be n(-7). Suppose 5 = z*v - 4. Suppose -2 = -2*l, 2*l = -2*d + v*l + 101. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = -s**3 + 11*s**2 + 78*s + 3. Let q be u(-5). Which is the nearest to q?  (a) 1\/5  (b) 5  (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = 1171*r + 93157. Determine k(-80).\nAnswer: -523","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 1516 divided by -461453\nAnswer: -1516\/461453","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 60492974?\nAnswer: 2, 30246487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v be -4*6\/(-3 - -5). Let t be 210\/v*56\/(-10). Suppose -733 = -5*m - t. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = 16*z - 61. Let v be w(10). Suppose -v = -f - 64. Calculate the least common multiple of f and 7.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 143732 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: (0 + 0 - 0) + (4 - (-33 - -4 - -69))\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 1143 (base 12) in base 5?\nAnswer: 30143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-3 + 2*(sqrt(4)*-1*-2)\/(sqrt(12)\/((sqrt(54) - sqrt(6)) + sqrt(6))))*-2)**2*-2.\nAnswer: -2376 + 576*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*h - 5*o + 90, 3*o + 0*o = 5*h - 122. Suppose -4*g + 501 = -115. Calculate the highest common divisor of g and h.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*p + 2*m + 676006, -2*p - 2*m - 2*m = -337988. What is p rounded to the nearest ten thousand?\nAnswer: 170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) be the first derivative of 0*o**2 + 0*o**3 + 2*o + 1\/5*o**5 + 3 + 0*o**4. Find the first derivative of m(h) wrt h.\nAnswer: 4*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -162*f**5 + 682*f**3 + 9*f**2 + 30682*f?\nAnswer: -9720*f**2 + 4092","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Express -2240 - 2249 - 54*r - 77*r**2 - 20*r + 4489 in the form w + h*r**2 + s*r and give s.\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-2)\/3)\/(((-11)\/(-3))\/(-1)).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) be the third derivative of -z**5\/60 - 5*z**4\/8 - 5*z**3\/2 + 2*z**2. Let v be w(-14). Let n be (-7 + 7)*v\/3. Let m(h) = h**2 - h - 3. What is m(n)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 256 + -238. Sort 5, u, 1, 2 in decreasing order.\nAnswer: u, 5, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -4 and 12.39?\nAnswer: -49.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when (-47)\/(-517) + (-1 + -1)*(-49454)\/44 is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 c and 1 h when two letters picked without replacement from ccjohcjjocoocojcch?\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 601\/76 + -155\/19. Which is the fifth biggest value?  (a) 0.3  (b) 0.06  (c) n  (d) -9  (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 54445 (base 6) in base 13?\nAnswer: 3563","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = z**2 + 10*z - 2. Let y(v) = -5*v + 1. Calculate the remainder when y(-3) is divided by c(-11).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2619449719 to the nearest integer?\nAnswer: 51181","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 11\/39*3*70*64\/73920.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 159823481903 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -388 + -4?\nAnswer: -392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 104499 and 153?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = u**2 + 40*u + 124. Let i be q(-37). List the prime factors of 8\/104*i + -1 + 1124.\nAnswer: 2, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2987174*d**6*t**2 + 21227*d**2 + 2*d*t**2 wrt d.\nAnswer: 358460880*d**3*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = 4*d**2 + 1. Let n be 16\/20 + (-64)\/5. Let m = -13 - n. What is the units digit of l(m)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m + 4 = -3*v, v + 0*v + 4*m + 8 = 0. Suppose 2*g + 11 - 41 = v. Suppose 3*r + 2*r + 25 = -i, 3*r + g = 5*i. Let z(d) = -2*d - 7. Determine z(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -2\/5  (b) -3  (c) -872\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find v such that -3*v**4\/5 + 219*v**3\/5 + 90*v**2 = 0.\nAnswer: -2, 0, 75","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from bbbbhbbhbbbbhbhhbbb. What is prob of picking 1 b and 1 h?\nAnswer: 70\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = 8 + 5*n**2 - 4*n**2 + 1 - 8*n. Let z be x(6). Which is greater: -1 or z?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w + 91 = 10. Let d(f) = 9*f + 54. Let x = -69 - -60. Let c be d(x). Is c smaller than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of (-813)\/(-70) + 2\/7 and -24.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-2)\/4)\/((-6)\/(-12))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 u and 1 i when two letters picked without replacement from {u: 3, i: 3}.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:19 AM and 12:46 PM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when (3 + (-2 - 2))*-23 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5 + 375\/(-55) + 2.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = -29*z. Let s be (-9)\/18 - 1\/2. Let n be v(s). Let q = n + -9. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 19078 to the power of 1\/4, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 60 - 20. Let c(j) = -2*j - 1. Let h be c(-3). Suppose h*g = g + s. Solve -k + g = -3*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 498 divide 6870408?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 894c0 + 38?\nAnswer: 89518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -15\/23 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -720.032 + 720. Is m less than or equal to -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.7334 and -3.6.\nAnswer: 2.64024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) be the third derivative of -x**4\/24 - 33*x**2. Let r(n) = 5*n**2. What is j(r(l))?\nAnswer: -5*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g**3\/3 - 175253*g**2\/3 + 112469120*g\/3 - 6003814400 = 0. What is g?\nAnswer: -175893, 320","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (1 - 1) + (-2)\/(-1). Suppose -5*c + 53 = 4*p, -3*p + 42 = 5*c - c. Let s be 1*4\/3*c\/6. Solve z*q + t + 4 = -9, 5*t + 25 = -s*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4790954 is divided by 80?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((1*(sqrt(70) - ((2*sqrt(70) - sqrt(70) - sqrt(70)) + sqrt(70))) + sqrt(70))*2)\/(4*-3*2*sqrt(10)))**2.\nAnswer: 7\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) be the first derivative of -n**4\/7 + 4*n**3\/7 + 2*n**2\/7 - 12*n\/7 - 28. Solve z(b) = 0.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 33 * 163.154\nAnswer: 5384.082","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*d - 6*d. Suppose d = -4*x - 18 - 2. Let q(r) = r**3 + 5*r**2 + 2. Let y be q(x). Solve -b + 3 = y*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {s: 1, g: 1, y: 6, k: 9}. What is prob of picking 1 g and 1 k?\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 3\/(-5)*(-1 - 4). Suppose -p = q*t + 66, -3 - 3 = 2*p. Let f = -10 - t. What is the highest common divisor of 121 and f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*(1*(sqrt(171) + -1*sqrt(171)))\/(2*sqrt(441)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 3.2 + -3. Let t = -0.1 + y. Let b be 24\/32*-1*(-8)\/(-57). What is the closest to t in 3, b, -1\/8?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3877?\nAnswer: 3877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in fifty-three fifths of a tonne?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-9)\/12)\/(9\/(-60)). Let f(a) = -3*a + 17. Let s be f(g). What is the derivative of s - 8*q - 4*q + 7*q + q wrt q?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 + 166 = -108*r - 48*r. Let m(o) = o**2 + o. Let z(b) = 3*b**2 + 4*b - 2. Let j be (-1 - -5)\/(1 + 0). Calculate j*m(i) + r*z(i).\nAnswer: i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 119681\/18567 + -3\/2063. Find the common denominator of 3\/(-10)*408\/(-54) and g.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -225.72 + 216. Let t = 10 + o. Let u = t - 0.2805. What is u rounded to three dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {b: 2, t: 5, m: 3, o: 5}. Give prob of picking 2 o, 1 b, and 1 m.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 258862, 258875, 258888, 258901, 258914, 258927?\n\"Answer: 13*c + 258849","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is (-29)\/435*(-203)\/(-145)*15?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 375 + -373.8. Suppose 4*k - 6 = 2*k. Suppose -s = 2*s - k. Is i > s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -144, -584, -1318, -2346, -3668?\nAnswer: -5284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 20720 and 433640.\nAnswer: 6070960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -37 divided by -5802.\nAnswer: 37\/5802","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 12651310 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i + 4*q + 26 = 0, -i + 4*q + 11 = -0*i. Let g = 7 + i. Which is bigger: 1 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -110, 3, -1, -70, 230, 0, -3 in ascending order.\nAnswer: -110, -70, -3, -1, 0, 3, 230","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 16764992857 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((2*sqrt(77)*1 - sqrt(77))*6)\/(3*-1*sqrt(704)).\nAnswer: -sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Divide -132337993 by 132337993.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = 4 - 3 + 15*q + 0 + 0. Let l(y) = 2*y. Let h(m) = 2*j(m) - 18*l(m). Determine h(2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) be the second derivative of -y**4\/12 - 8*y**3\/3 - y**2 + 10*y. Let c be l(-16). Let i be 0 + 3 + (0 + c - -6). Solve 2*w + 3 - i = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -5da9 (base 14) to base 12.\nAnswer: -9601","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -15 = -3*s + 5*b, 7*b + 61 = -5*s + 40 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = -j**2 - 22*j + 15. Let r = 19 + -16. Suppose -19 = r*p - 3*v + 26, -2*v + 4 = 0. Does 22 divide k(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1855766?\nAnswer: 2, 11, 67, 1259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 31\/54 + -2\/27. Let p = -1.6 - 0.1. Let j = 0.3 - p. Which is greater: x or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -31053 - 11718?\nAnswer: -42771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*g - 3*h = 2, -10 = -3*g + 3*h + 8. Put g, 17, 3 in descending order.\nAnswer: 17, 3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c - 771*z - 10 = -774*z, 4 = z. Is -12\/59 > c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = -2*z**4 - z**3 + 85*z**2 - z - 474. Let j(k) = -k**4 - k**3 - 3*k**2 - k. Let n(q) = -j(q) + l(q). Differentiate n(d) with respect to d.\nAnswer: -4*d**3 + 176*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = 15*u**2 + 5*u - 7. Let y be q(4). Let w(h) = -h**3 - 8*h**2 + 12*h + 24. Let o be w(-11). Is o at most as big as y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 32594305361 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = 1. Let w(u) = 9*u + 9. Let o(a) = -36*t(a) + 4*w(a). Let n be o(5). Suppose 15*v = 20*v - n. Is 6 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 32 + 5. Let r = -37.36 + y. Let d = 0.32 + r. Put d, 0.3, 0.2 in descending order.\nAnswer: 0.3, 0.2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 53480 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 639, 1256, 1873?\nAnswer: 2490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y - 2*q + 7 = 0, -y - 1 = -q - 5. Find the second derivative of 1 + 3*m**3 + y*m**4 - 3*m**4 + 37*m**5 + m - 28*m**5 wrt m.\nAnswer: 180*m**3 + 18*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 50583716*p**2 - 23039416?\nAnswer: 101167432*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 4 divided by -841\nAnswer: -4\/841","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 17*2*231\/66. Calculate the greatest common factor of b and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(120)\/(sqrt(24)\/sqrt(3)))\/sqrt(5) + 1.\nAnswer: 1 + sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = -3*t**3 + t**2 + t + 1. Calculate the remainder when 95 is divided by j(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 96427784?\nAnswer: 2, 29, 227, 1831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -225 - -368. Suppose -w + 55 = 2*o, -4*o - o - f = -3*w. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 35*q - 58*q + 25 = -21. Solve 0 = 3*m + q*m + y + 25, 0 = m - y + 5 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) be the third derivative of -i**5\/60 - 5*i**4\/24 - i**3\/6 + 310*i**2. Determine w(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 140932 is divided by 405.\nAnswer: 397","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q = -0*i - 3*i + 30, 5*q = -2*i + 35. Suppose i*a + 32 = -8. Let l = 13 + a. Let v(n) = -n**2 + 3*n + 4. Give v(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -763, -1548, -2353, -3184, -4047, -4948?\n\"Answer: -j**3 - 4*j**2 - 766*j + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 0.0515731 + -41\nAnswer: -40.9484269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -4431 (base 5) to base 9\nAnswer: -754","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -458 - -461. Let f(i) = 3*i**3 - 2*i + 3. Let d(a) = 6*a**3 - 4*a + 7. Give c*d(r) - 7*f(r).\nAnswer: -3*r**3 + 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-126)\/1050*(-5)\/(-3)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) be the third derivative of 1\/8*t**4 + 2*t**3 + 29*t**2 + 0*t - 1\/40*t**5 + 0. Factor r(p).\nAnswer: -3*(p - 4)*(p + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = 8*n + 4 + 0*n - 4*n**2 - 109*n**3 + 66*n**3 + 42*n**3. Let y = 43 + -26. Let c be (y - 2)*2\/(-6). Give w(c).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1118 + 865 - 703 = 40*a. Solve 7*c + a = -17 for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2 + b + 2 + (0 - 1 + 5)*(3*b + b - 3*b).\nAnswer: 5*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s + 169 = -i, -4*i + 108 = 68*s - 66*s. What is the greatest common factor of 14840 and s?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -25\/3 and (-15022)\/(-8910) + (-28)\/28 - 6\/9.\nAnswer: 4455","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -15 - -18. Suppose -7 = -m - r. Let k(b) = 5*b - 17. Let j be k(m). Solve -p - 2 = j*i - i, 1 = 4*p + 5*i for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b**0*b)**50*(b\/b**(1\/3))**(-9\/5))\/((b**(-1)\/b)**(-3\/11)*(b*b**0)**(2\/13)) assuming b is positive.\nAnswer: b**(34392\/715)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 5.8 - 5.5. Let d = 0.9 - -1.9. Let l = d - 3. Which is the nearest to 0.2?  (a) y  (b) l  (c) 5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*(-2 + (sqrt(165)\/sqrt(3)*-4)\/((-1*sqrt(88))\/sqrt(8)) + -4).\nAnswer: -24*sqrt(5) + 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.45 - 18516099.\nAnswer: -18516099.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort 40, 672, 76.\nAnswer: 40, 76, 672","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.4521986l in millilitres?\nAnswer: 452.1986","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round 2199314600 to the nearest 100000.\nAnswer: 2199300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 1.740483 + -515.649133. Let i = c - -568.90865115. Let h = i - 55. What is h rounded to 7 dps?\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -6*i**2 + 9*i**2 + 30 - 423*i**3 - 438*i**3 + 877*i**3 in the form j + n*i + y*i**2 + o*i**3 and give o.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in -4, -22, -7\/3?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 1\/8, -2 in increasing order.\nAnswer: -2, 1\/8, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = 1 - 5 - 5*d + 3. Let l be b(1). Let n be (3\/l)\/(3\/(-2)). Which is bigger: 1 or n?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 + 1 - 10 - -2 - 0?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 97\/4 + 1\/(-4). Let k be 88\/(-11) - (-3 - -1). Let i be (-152 + 8)*3\/k. Calculate the greatest common divisor of i and o.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (6\/(-6) + -2)*2\/3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-6)\/(-90)*-3 + 136\/5. Let u(s) = -1 - 28*s**2 + 1 - 2*s + f*s**2 - 3. Give u(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -5113211*l**2 + 2937897 wrt l.\nAnswer: -10226422*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -119 + 61 - 168*i**2 + 58.\nAnswer: -168*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 3\/31 + -207\/217. Let i = t + 4\/21. What is the smallest value in 3\/17, i, 0.4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 173097342 a multiple of 2932?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -602 - -672. Let z be (p\/(-28) - -2)\/((-1)\/12). Solve 2*a + 16 = z for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6 + 2 + 3)*(2 - 2 + i**5) + (7*i**2 - i**2 - 3*i**2)*(i**2 - 5*i**2 + 2*i**2)*(4 - 4 - 2*i + (1 - 7 + 0)*(-13779 + 177*i + 13779)).\nAnswer: 6383*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 + (-2 - -10) + -13?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = t**3 + t**2 - t - 1. Suppose -2 = -4*n - 6. Let q(x) = 3*x**3 - x. Let a(b) = n*q(b) + 2*v(b). Let h be a(3). Round h to the nearest ten.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/3 in -2\/27, 0.5, 102, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Divide -764 by -4.\nAnswer: 191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c - 14 = -5*c - k, -4 = -2*c + 2*k. Let h(a) = -2*a - 4. Calculate h(c).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*p - 81 = 3*m, -15081 = 4*m + 397*p - 3183 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-254 + 307 + p + 0*p)*(4 + 1 - 3)*(-10 - 2 + 2).\nAnswer: -20*p - 1060","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 419129?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 2466\/7 or 352?\nAnswer: 2466\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Does 7 divide 21694351?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"}
{"text":"Question: Is 87623 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = t**3 + 5*t**2 + 3*t - 4. Let u be r(-4). Suppose 0 = -2*l - u*l - n + 2, -l - 2*n = -1. Let v = -1 - l. What is the third biggest value in 3, 1, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h - 1 = -3*z, -2*z + 7*z + 9 = h. Suppose -3*d + 5*d = 3*l - 11, -3*d - h = -2*l. What is the remainder when 3 is divided by d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 40319 is divided by 2140?\nAnswer: 1799","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -2.2 + 2.15. Put -5, -2, z in decreasing order.\nAnswer: z, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (69\/9)\/(1\/3).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 14, 8, 0, -10, -22, -36?\n\"Answer: -a**2 - 3*a + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -164*z = -86*z - 100*z + 462 for z.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = -b**2 - 3*b + 3. Let c be o(-4). What is the closest to -2\/9 in c, 2, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 308?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = g**3 - 45*g**2 + 49*g - 186. Let h be m(44). Suppose -55*w = -h*w - 42. Suppose 4*f - 6*f = -6. Calculate the remainder when f is divided by w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 137 * -6812\nAnswer: -933244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/104 in 0.8, -1, 1401?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*s**3 - 24*s**2 - 40*s.\nAnswer: -2*s*(s + 2)*(s + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 86 - 102. Let h = 128 - a. Calculate the highest common divisor of 18 and h.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 212.00000107 - 212. What is r rounded to 7 dps?\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 205 and 78758745.\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/(6\/8)*((-75)\/(-240))\/(4\/176)?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = f**3 + 6*f**2 + 4*f - 3. Let j be x(-5). Suppose -5*n + 12 = j*w - 4, 0 = n + 4. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 19  (b) 0  (c) -4\/7  (d) -15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((-45)\/(-3))\/(33\/(-44)). Calculate the common denominator of 23\/9 and 119\/(-153)*c\/14.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 325949 - 325945. Let w(y) be the third derivative of -y**6\/120 + y**5\/12 - y**4\/12 - y**3\/3 + y**2. Determine w(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 43*f - 41*f - 1198. Does 19 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = -3*a**3 + 2*a**3 + 5*a**2 - a + 0*a**3 - 1. Is 9 a factor of r(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = -5*x + 10. Let p be j(2). Suppose 0 = -p*b - 4*b - 4*t + 376, -2*b + 168 = -2*t. Is b a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 717 divided by 6.\nAnswer: 239\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = -1 + 1 + c**2. Let o(g) = -2*g + g - 59 + 15 + 32 + 32. Determine v(o(p)).\nAnswer: p**2 - 40*p + 400","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1035545197?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = -n**3 + 7*n**2 - 1 - 7 + n + 7. Let a be c(7). Solve 0 = 4*d - z - a, 2*d - 3*z = -2*z + 4 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in o**2 + 130 - 1393*o + 1393*o.\nAnswer: o**2 + 130","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -15*v**4 - 309*v**3 - 1335*v**2 + 2937*v + 2178 = 0.\nAnswer: -11, -3\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 m and 1 y when two letters picked without replacement from {x: 1, y: 1, m: 1, w: 1, d: 2, u: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = -8*l - 1. Let b be m(1). Let x be 8\/3*b\/(-6). Determine q, given that -4*q**4 + q**4 + 5*q**x = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = 22*n**2 + 20*n**2 + 27*n**2 - 66*n**2. Let c(l) = 24*l. Give c(j(h)).\nAnswer: 72*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 26 divided by 791.\nAnswer: 26\/791","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-1)\/5 - 128\/(-40). Suppose h*g - 25 + 10 = 0. Solve -2*p + 3 + g = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) be the second derivative of -11*t**8\/56 + 37*t**6\/30 + 135*t**4\/4 + 826*t. What is the third derivative of p(c) wrt c?\nAnswer: -1320*c**3 + 888*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -65802 - -65821. Suppose 3*d = u - 35, 0*u - 151 = -4*u + d. Calculate the greatest common factor of o and u.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 404 minutes before 11:02 AM?\nAnswer: 4:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) be the first derivative of g**6\/120 - g**5\/3 + 7*g**2 - 23. Let f(h) be the second derivative of d(h). What is the third derivative of f(u) wrt u?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 1 + -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 0.204  (b) -0.1  (c) 0.3  (d) 1  (e) 2\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 10 + 0 + 1 - ((181 - 147) + 7).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z = -2*f + 8, -7 = 2*f + 5*z - 0. Suppose 0 = 3*c - 15, 0*p + p - 3*c = -f. What is the derivative of 2*t**3 + 15 + t**3 - p - 6 wrt t?\nAnswer: 9*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((b*(b**(-2\/3)*b)\/b)\/b)\/(b**(-1\/5)\/b))\/(b**(2\/5)*b**7) assuming b is positive.\nAnswer: b**(-103\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Convert 78691.5 centimeters to micrometers.\nAnswer: 786915000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-55)\/(-22) - 4)*(2 + 4)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = -a**2 - 56*a - 149. Calculate j(-38).\nAnswer: 535","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 9 + 7 + 10 + 14 - 2*y to j + t*y and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) be the first derivative of -r**8\/1120 + r**7\/840 + r**6\/720 + r**3 - 2. Let h(t) be the third derivative of p(t). Factor h(f).\nAnswer: -f**2*(f - 1)*(3*f + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l = n - 9, 2*n + 0*l + 4*l - 26 = 0. Let q(u) = -3*u + 4*u - 3 + 7 - n*u. What is the units digit of q(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 69925, 137784, 203537, 267190, 328749, 388220, 445609?\nAnswer: 500922","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4935 - 3*w - 7*w**2 + 20*w**2 - 4935 + 3*w.\nAnswer: 13*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 343598814 to the nearest integer?\nAnswer: 700","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1.63 or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1\/((-3)\/4))\/((-68)\/153)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.458308227 to three decimal places.\nAnswer: 0.458","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 210810 and 45.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 8003 - -3286?\nAnswer: 11289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 72.255092 + -71.575. Let i = 0.68 - s. What is i rounded to 5 decimal places?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -56*j - 5*j + 1904 = 3*j + 55*j for j.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 + -5 + 4 + -8 + -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put 17, -12067, 53 in decreasing order.\nAnswer: 53, 17, -12067","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {l: 1, h: 1, r: 1, q: 1, u: 1}. What is prob of sequence lh?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 109*l**2 - 1002 + 1977 - 975.\nAnswer: 109*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = j**3 - 5*j**2 + 15*j - 27. Let t be x(4). Suppose -14*u + t*u - 51 = 0. Solve 3*y + 2*y - 4*q = u, -y + 2*q + 1 = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 326, 610, 900, 1196, 1498?\n\"Answer: 3*o**2 + 275*o + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 51287.43551 rounded to the nearest 100?\nAnswer: 51300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6 + -3 + -3 + -4 + 12 + (-2300 - -2396).\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from llcclcvll. Give prob of picking 1 c and 3 l.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j = h + 78, 5*h = -5*j + 10 + 75. Suppose 37 = 4*v + 5*s, 2*v + j = 3*v - 2*s. Solve -5*u = t - 2*u - 2, 2*u - v = -3*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 69, 95, 117, 135, 149, 159, 165?\nAnswer: 167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -109 or -265?\nAnswer: -109","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 110 minutes before 4:04 AM?\nAnswer: 2:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -31.08 + 31.28. Which is the closest to p?  (a) 0.059  (b) 2  (c) 2\/13  (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = c**3 + 6*c**2 + 4*c - 2. Let h be n(-5). Suppose h = -m, 449 = 5*w + m + m. What is the tens digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s\/s**(-2\/3)*s**(-1\/3))**(-2\/3) assuming s is positive.\nAnswer: s**(-8\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*j + 5*r - 103, 5*j + r - 132 = -2*r. Suppose -5*m + 5 = b, -21 - j = -5*b - 2*m. Let 0*f**2 - 10*f + 2 - 28*f**2 + 6 - b*f = 0. What is f?\nAnswer: -1, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 10630?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -26\/1725 and -49\/138.\nAnswer: 3450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 122 - 77. Is b a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-3)\/(-5) + (-49)\/(-35). Let w be 7\/42*301 - (-1)\/(-6). Let n be (6 + 65\/(-10))\/((-1)\/w). Solve 0 = g*r + y + 3*y - 20, -n = r - 5*y for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -132\/30257 - 16662801421\/181542. Let r = 91434 + i. Let j = -345 - r. Calculate the common denominator of -6\/7 and j.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = 2*f**2 - f - 8. Calculate h(4).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 357598.1ml?\nAnswer: 357.5981","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*n**2 + 74402*n - 74402*n.\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -0.014 + -27.537\nAnswer: -27.551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = u + 5. Let l be t(-5). Suppose l*d + d = 18. Let s = -6 + d. List the prime factors of s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 9169  (b) 6\/7  (c) 2\/11  (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1805?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -35*a + 46*a - 18029. Suppose -r = -10*l + 7*l - 1624, -r - 2*l + a = 0. What is the tens digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:31 PM and 9:26 PM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.0655 - -1.32.\nAnswer: 1.3855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) be the second derivative of -9*y + 0 + 1\/9*y**3 + 1\/18*y**4 - 2\/3*y**2. Let u(d) = 0. What is d?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -0.3 - -0.4. Let m = -2.91 - -0.97. Let u = m + -0.06. What is the third biggest value in a, -2\/15, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-2)\/(8\/(-5)) - (2 - 1). Suppose 1\/4*u + n*u**2 + 0 = 0. Calculate u.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 7 - ((-1 - -7) + 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 q and 1 c when three letters picked without replacement from hhqvvvqvhvhvkqkqvcl.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 take away 1.37?\nAnswer: 1.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 45\/(-1 - -6) - 4. Suppose 5*k - 33 = -4*d, 0 = -s*d - k - 0*k + 15. Solve 3 = d*n + 1 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 653109 is divided by 17176.\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (21\/6 + -3)\/((-3)\/(-12)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.145 + -0.155. Suppose x - 2 - 6 = 0. Let h be 3 - (10\/x + 1). Which is the fourth smallest value?  (a) -2\/5  (b) 0  (c) h  (d) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y - 3 = 0, -d + 2*y - 6 = -0*d. Let p(v) = -v**2 - 6. Determine p(d).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1203384 a multiple of 104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -137\/1760 and 67\/80.\nAnswer: 1760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = -24*n**2 - n - 4. Let w(x) = -8*x**2 - 1. What is 2*s(r) - 7*w(r)?\nAnswer: 8*r**2 - 2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -s + 13*s - 60 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 460 is divided by 38.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*w - 2*a = 3*a + 55, 0 = -4*w - 3*a + 23. Let k(s) = -s**2 + 11*s. Let r be k(w). Let n be -2 + 7\/(28\/r). Solve y + y + 3*d = n, -6 = -3*y - 4*d for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4987038 is divided by 949.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = -19*n**3 - 13*n**2 - 13*n - 13. Let u(x) = 3*x**3 + 2*x**2 + 2*x + 2. Suppose 0*f + 2*h - 88 = 2*f, 3*f + 5*h = -92. What is f*u(w) - 6*s(w)?\nAnswer: -3*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((5096\/70)\/(-13))\/((-12)\/9)*-5.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.49 + 2.19. Is -2\/3 >= o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.2?  (a) 10  (b) 2\/7  (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 235077, 235179, 235281?\n\"Answer: 102*q + 234975","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 207046 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 927 at most 932?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 14539, 29078, 43619, 58162, 72707, 87254, 101803?\nAnswer: 116354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-6)\/10*(-2)\/(-6). Let p = -8.9661476 - 0.0338524. Which is the nearest to p?  (a) -5  (b) 0.1  (c) z  (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 2109180524 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) be the first derivative of p**3\/3 + 2*p**2 - 7*p - 2. Let l = -51 + 45. Give q(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 24 * 0.26.\nAnswer: 6.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6749*j + 6345 = 6984*j for j.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = -y**3 + 17*y**2 + 48*y - 189. Let j be h(19). Suppose -4 = 3*v - 4. Put j, -7, 3, v in descending order.\nAnswer: 3, j, v, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 798684?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 32*w + 45 = 23*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2168567 is divided by 1643?\nAnswer: 1450","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -3 - -7. Suppose -4*n = 4*f - 16, -f + s*n = 1 + 5. Suppose v + f*v = -3090000. Round v to the nearest 100000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 7 and 112?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-8)\/(-3) + 2\/6. What is the second derivative of -3*c**3 + c + 6*c + 0*c**3 - 4*c**j wrt c?\nAnswer: -42*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -37, -268, -685, -1288?\n\"Answer: -93*q**2 + 48*q + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 2 divide ((-5)\/(-2))\/((-25)\/(-60))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) be the second derivative of -p**5\/10 + 17*p**4\/6 - 80*p**3\/3 + 64*p**2 - 46*p. Factor y(t).\nAnswer: -2*(t - 8)**2*(t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1804 and 153012.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -80, -105, -130?\nAnswer: -155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 divided by -39.\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 200\/2431 + -1\/187. Let y be ((-2)\/(-4) + 0)*92\/(-78). Let c = y - g. Sort 4, c, 5 in decreasing order.\nAnswer: 5, 4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = v**3 + v**2 - 11. Let g(t) = 4*t**2 - 20*t. Let q be g(5). Give k(q).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is a9 + e?\nAnswer: b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*p + 3*h - 37 = 2*p, 0 = -5*p - 4*h + 36. Let w(o) = 4*o**2 - 14*o - 43. What are the prime factors of w(p)?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1009294 * -4.\nAnswer: -4037176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = s**3 + 2*s**2 + s - 9. What is m(-5)?\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = -j + 2. Let w be k(4). Let n be (-14)\/w + 4 + -3. What is the units digit of 1 + n - (0 + 3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 6*x**6 + 314*x**4 + 11*x**3 + 61019*x**2 wrt x?\nAnswer: 720*x**3 + 7536*x + 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 252 and 468?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.2 and -0.14.\nAnswer: -0.028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 45035 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 57245.\nAnswer: 5, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2 + -9 + 16 + -12 + 51 + -21.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 786 + -772. Let m(j) = -j**3 + 14*j**2 - 3*j + 28. Determine m(w).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 5944731?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 3.2 - 1.8. Let b = z - 0.4. Let m = -0.999998 + b. What is m rounded to five decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -16 + 31. Suppose 5*k + 10 = 0, -3*k - 10 = -v - 0*k. Suppose 2*d - 6*d = 0. Solve d = -v*z + z - a for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is nine sixteenths of a kilometer in centimeters?\nAnswer: 56250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 1 - 2*p)*(-6 - 7 - 4)*(-4*p**2 + 4*p**2 + p**2).\nAnswer: 34*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 763 is divided by 66.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 15645 - 8136. List the prime factors of v.\nAnswer: 3, 2503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*r - 29 = -4*l, 4*r - 122*l + 119*l + 23 = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = m - 4*g + 13, m - 2*g + 0*g + 5 = 0. What is the remainder when 30*(12\/8)\/m is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {o: 1, u: 5, i: 4, m: 6}. Give prob of picking 1 i and 2 m.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = i**3 + 9*i**2 - 9*i + 16. Let d be g(-10). What is the hundreds digit of (-283)\/(-1) + (-24)\/d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) 14  (b) -0.8  (c) 3  (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) be the third derivative of -h**8\/448 - h**5\/24 - 5*h**4\/24 + 13*h**2. Let j(o) be the second derivative of l(o). What is the derivative of j(r) wrt r?\nAnswer: -45*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = -7*k**3 - 17*k**2 - 5*k + 54. Is o(-11) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 135*-2.31.\nAnswer: -311.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find q such that q**3\/5 - 9898*q**2\/5 + 79127*q\/5 - 13846 = 0.\nAnswer: 1, 7, 9890","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = k**3 - 5*k**2 + 4*k. Let u be o(4). Let i be (-152)\/60 - -3 - (-2)\/6. Which is the nearest to u?  (a) 5  (b) 3  (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10339805 a multiple of 203?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -121428.017782 + 181322.257781. Let c = 59894 - r. Let a = c + 0.24. Round a to five dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 = -5*u, 0 = 3*a + 4*u + 130 - 150. Sort -4, a, -5, 7, 0 in descending order.\nAnswer: 7, a, 0, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -3  (b) 21  (c) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 128 - 133. Put 6, -4, j, -3 in ascending order.\nAnswer: j, -4, -3, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = -13*x**2 - 64*x - 130. Calculate s(-2).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: (((-4)\/(-4))\/(-1))\/((-2)\/(-8)*4)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -124 + 128. Which is the biggest value?  (a) w  (b) 2\/13  (c) -3\/5  (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((p**1*p)\/p)\/p)**19\/(p**0)**(-43))**(-3\/7) assuming p is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -36 = -6*g + 3*g. Solve -4*f + 3*o = 16 + 12, g = f + 4*o for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3 + sqrt(1377) + -1)**2 + ((-3*sqrt(1377))**2 + 3 - sqrt(1377)).\nAnswer: 27*sqrt(17) + 13777","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*c = -c + 2, -5*w - 5*c + 1605 = 0. Suppose 9*u - 11*u + w = 0. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4779 divided by 591.\nAnswer: -1593\/197","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (220 - 220 + 6*l + 2 - 2 - 4*l + 0*l - 3*l + 5*l + 0*l + 2*l - 3*l + (-2 - l + 2)*(-4 + 1 + 1) + 0 + 2*l + 0)*(0*l + 3*l - 2*l).\nAnswer: 7*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*x - 4*y + 112 = 0, 24798 = -6*x - 2*y + 24584 for x.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 5425 and 1097183.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*q**3\/5 + 1189350*q**2 + 23787048*q\/5.\nAnswer: -3*q*(q - 1982254)*(q + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence rcrc when four letters picked without replacement from {c: 5, f: 2, o: 2, r: 8}?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 m and 2 v when four letters picked without replacement from {m: 2, v: 8, c: 7, r: 3}?\nAnswer: 28\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i + 0*i + 135 = 0. What is the highest common factor of i and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 134 - 668\/5. Let h = 15 + -27. Let i be h\/(-33) - 6\/33. Which is the biggest value?  (a) v  (b) -4  (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -22510 - -50975. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 3516 and 3507 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = 3*s**2 + 3*s + 3. Suppose -10*o - 1 - 19 = 0. Determine g(o).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 127288.3 years in decades?\nAnswer: 12728.83","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -36 - -22. Let r be (-27)\/21 - 4\/q. Is 159\/(-1)*r\/3 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: (1*3)\/((-1)\/((-6)\/9))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (33\/14)\/((-12)\/21). Let d = -91\/8 + s. What is the common denominator of 49 and d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 1\/1 - (8 + -2). Let p(b) be the first derivative of -4*b**3\/3 + 9*b - 4. Let d(i) = 6*i**2 - 14. Let y(x) = z*d(x) - 8*p(x). Factor y(s).\nAnswer: 2*(s - 1)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -23*x + 26*x - 6. Let v(r) = -6*r**2 - 3*r**2 + r**2 + 6*r**x. Let s(f) = -4 - 5*f + 4. Give s(v(b)).\nAnswer: 10*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + (-5*(sqrt(7) - -2*sqrt(7)) + -3 + -1*sqrt(7))**2)*6.\nAnswer: 576*sqrt(7) + 10812","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 8 - (-9 - 2 - -11)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + sqrt(228)\/sqrt(3) - (sqrt(19) + (-6*sqrt(76)\/sqrt(4) - sqrt(19)) + 3)**2.\nAnswer: -698 + 38*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = 20*k + 4. Let x(v) = -3*v. What is x(a(m))?\nAnswer: -60*m - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -90571 - -90580. Find o, given that n*o**2 + 3\/4*o**3 - 39\/2 - 45\/4*o = 0.\nAnswer: -13, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -289*g + 73668625835 - 387*g - 73668625835.\nAnswer: -676*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (36\/8)\/(10\/112 - (-2)\/7).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 59776.\nAnswer: 2, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 968 and 44.\nAnswer: 968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 + -8 + 14 + -5 - -8.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 14\/(-133) - (4 - (-68)\/76).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1094 is divided by 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -18617\/84 - -4670\/21. Determine v, given that 3\/4*v**4 + 3\/2 - 9\/4*v**2 - 3\/4*v + w*v**3 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-132)\/252 - (-10 - 280\/(-30))?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*((sqrt(1300) + (sqrt(1300) - sqrt(1300)*-1 - sqrt(1300)) + -4 + sqrt(1300))**2 + -2)*5.\nAnswer: -234280 + 4800*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 6.242036 centimeters in micrometers?\nAnswer: 62420.36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = -u**3 - 18*u**2 - 7*u - 155. Determine t(-17).\nAnswer: -325","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00051138 rounded to four decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1851009 is divided by 4616?\nAnswer: 4609","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3 + (-2*sqrt(1575) - sqrt(63)))**2.\nAnswer: -198*sqrt(7) + 7632","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = y + 16. Let g(b) = 2*b + 40. Let q be g(-14). Suppose 6*x = 10*x - q. Suppose -4*i + 12 = x*c, 4*i - 8*i = 2*c - 8. Give k(i).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = -2 - 19*p - 20*p + 3 + 14*p. Let y be j(-1). Let m be -13 + 22 - (4 - 229). Calculate the highest common divisor of y and m.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 72*u - 128 = 45 + 115 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -41 = 10*q + 16 - 127 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 41918377 a multiple of 541?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.4, 1\/4, -21, 3\/4 in increasing order.\nAnswer: -21, 1\/4, 0.4, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 214\/161137 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = 3*t - 2*t + r, t - 3*r = -10. Suppose -v + 3 + 20 = 0. Let y = v + -9. Calculate the greatest common factor of t and y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 774\/1032 - (-162)\/(-24).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 9409\/105 - 448\/5. Let w(j) be the second derivative of 0 + 0*j**2 - 8*j + 0*j**3 + 0*j**5 + 0*j**4 + a*j**6. Factor w(l).\nAnswer: 2*l**4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (15*1)\/((-3)\/(-2)*74\/(-74)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:42 AM and 1:34 PM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r + 4*d - 14 = 0, -2*r + 5*d = 3*r + 20. Sort -2, r, 4, -4 in descending order.\nAnswer: 4, r, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 255.221 + -2059428.221. Let w = f - -2059149.999988. Let p = w + 23. Round p to five dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 50324323 (base 8) to base 12\nAnswer: 366b103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = -83*l - 7521. Calculate i(-93).\nAnswer: 198","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 54 + (-31 - -41) + 6 + -22.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence qaq when three letters picked without replacement from aaqoaaoaaaq.\nAnswer: 7\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) 0.3  (b) -0.5  (c) -2060\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in thirty-seven halves of a kilogram?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 139*t + 48 = 143*t. What is the smallest common multiple of 328 and t?\nAnswer: 984","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = -k**3 + 2*k**2. Let b be s(2). Suppose -4*o + o + 12 = b. Let h(x) = 2 - 2 - 3*x - 2 - o. Calculate h(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -59 + 64 + -21 + 8.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 14\/(-98)*(-49)\/21.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 8\/(-3)*(54\/(-8) - 0). Suppose -16*a = -o*a + 324. List the prime factors of a.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 94160469 to the power of 1\/2, to the nearest integer?\nAnswer: 9704","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 642836 is divided by 79.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 737 - 729. Solve -k + l*k + 14 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -9112473 divided by -337499?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.4, 0.0709, 133\/191 in descending order.\nAnswer: 133\/191, 0.4, 0.0709","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 p and 2 i when three letters picked without replacement from {i: 1, p: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*j = 3*n - 6 - 5, 7 = 4*n - j. Suppose 4*k = -8, 5*f + n*k = 12 + 4. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 154237 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, 0.798, 2\/7 in descending order.\nAnswer: 3, 0.798, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*q = 5*k - 12, -3*k + 9 + 0 = -3*q. Suppose -15 = -k*a - 3*a. Suppose 3*i = a*i - 40. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 5*d**2 - 4*d**2 + d**2 - 29*d + 29*d - 11*d**2 + (d + 0*d + 0*d)*(3*d + 0*d - d).\nAnswer: -7*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 20780 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Divide -106 by 3.\nAnswer: -106\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 101 is divided by (4 + 6\/(-1))*-13.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -189 = 44*u - 1025. Calculate the highest common factor of u and 171.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = -j**3 - 3*j**2 + 2*j - 5. Let f be p(-4). Suppose 0*b + 3*b - 12 = 0. Suppose b = c - f. What is c rounded to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 2 by -138.\nAnswer: -1\/69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 1*(-7 + 1) - (-34 - -29). Let b(w) be the second derivative of -w**4 - w**2\/2 - 9*w. What is b(m)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = z**3 - 16*z**2 + 11*z - 8. Let k be f(10). Let q be (-2)\/(-3)*k\/(-4). Suppose -28 = -3*l + q. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 o and 2 q when three letters picked without replacement from qrqqo?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 139 = 19*m + 3*u, 333*u - 337*u = 5*m - 104 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -29650, -59051, -88444, -117823, -147182, -176515?\nAnswer: -205816","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*m + 224 = -3*m + 4*d, 0 = 3*m + d - 140. Suppose 3*a - 15 = 0, -4*k + m = -a - 27. What is the common denominator of -59\/4 and 12\/k - 341\/(-140)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence isy when three letters picked without replacement from iiiyiiiiisysiyiysi.\nAnswer: 11\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 337.\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -21112102120 - -201221?\nAnswer: -21111200122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*n - 22 = -2*o, -2*o - n + 0 = -7 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l**3\/13 - 432*l**2\/13 + 9454*l\/13 - 45696\/13 = 0. What is l?\nAnswer: 7, 17, 192","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) be the second derivative of -d**5\/20 + 7*d**4\/4 - 11*d**3\/3 - 25*d**2\/2 - 1961*d. Give h(20).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2109.70039787 + 0.3\nAnswer: -2109.40039787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of -3*(4634\/(-6) - -10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 33 + 3720666252\nAnswer: 3720666285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:18 AM and 1:42 PM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2955734073 to the nearest integer?\nAnswer: 54367","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -25\/182 and -47\/2692300.\nAnswer: 18846100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence hknb when four letters picked without replacement from {b: 1, n: 2, w: 1, h: 11, k: 4}?\nAnswer: 11\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2407 + 137*t - 2407)*(1 + 1 + 0)*(0 + 1 - 4)*(2*t**2 - t**2 - 3*t**2).\nAnswer: 1644*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 833 and 793253383.213?\nAnswer: 793252550.213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -366 - 1215*l - 37 - 104.\nAnswer: -1215*l - 507","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 120797\/45 - 23857\/9. Factor -3\/5*o**2 - 2352\/5 - c*o.\nAnswer: -3*(o + 28)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -158 - -160. Sort 0, x, 39 in descending order.\nAnswer: 39, x, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 306 - 246 = -3*o. Let g be (-2)\/(8 - (-165)\/o). Solve -g*s - 5*m = -3*s - 35, 3*m = 2*s + 6 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -954 * 51\nAnswer: -48654","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 383227347 to the power of 1\/3, to the nearest integer?\nAnswer: 726","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1217?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*sqrt(950)\/sqrt(2).\nAnswer: 25*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -14599*122.\nAnswer: -1781078","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -11.45 rounded to the nearest integer?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 367555.2um in millimeters?\nAnswer: 367.5552","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a - l + 3 = -2*l, 2*a - l = 5. Let f(j) = 2*j**3 - 2*j**2 + 2*j - 2. Does 5 divide f(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 70*h*r**3*w**2 - 72*h*r**2*w**2 + 101*h*r*w**2 - 3*h*w**2 - 2*r*w wrt r?\nAnswer: 420*h*r*w**2 - 144*h*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*x = -x + 168. Let v be (-8)\/x - (-4)\/(-14). Sort -2\/7, v, 1\/7.\nAnswer: v, -2\/7, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1\/21*12\/(468\/91)*-2.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 30708 is divided by 25?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 72 a factor of 549576?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find n such that -6*n**4 - 50*n**3 + 1058*n**2 - 3062*n - 1140 = 0.\nAnswer: -19, -1\/3, 5, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-109)\/(-3) - 9\/27. Let z(q) = 16*q + 22. Let o be z(-1). Let k = a + o. What are the prime factors of k?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 342*b**3 - 1081*b**3 + 359*b**3 + 344*b**3.\nAnswer: -36*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = -2*f. Let o(y) be the third derivative of y**4\/8 - 4*y**3\/3 - 21*y**2. Give o(g(a)).\nAnswer: -6*a - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Round -9323.08947 to the nearest 100.\nAnswer: -9300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in -13, 3\/5, -0.4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -68 + 106b2?\nAnswer: 10646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -20 - -22. Suppose 3*t - 2 = v*o, -2*t - o + 3*o = -2. What is the second derivative of t*c**5 + 0*c - 7*c + 6*c**5 wrt c?\nAnswer: 120*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = -2*f**2. Let x(a) = 244*a**2 + 179*a - 348*a + 169*a. Give x(d(w)).\nAnswer: 976*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 20*a - 18 = 11*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (53 - 53 + 15*y)*(-y**4 + y**4 - 3*y**4).\nAnswer: -45*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 25869548 to the nearest integer?\nAnswer: 296","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m = y + 2, -2*y + 1 - 7 = 0. Suppose 8*t = 3*t + 15. Solve m = l - t for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 28 = -5*h - 32. Let g = h - -17. What is the units digit of 6\/g*(-60)\/(-8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 11203, 11443, 11681, 11917, 12151?\nAnswer: 12383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-6)\/(-7 - 5)*3\/(-12). Which is the closest to -1?  (a) m  (b) -4  (c) -15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -6\/5 + -6611\/20. Let i = -330 - j. What is the common denominator of i and 41\/11?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1014156279 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 1392 and 1392.\nAnswer: 1392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = 2*v**2 + 4*v + 1. Give w(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) be the third derivative of -d**4\/8 + 83*d**2. Let y(v) = 3*v. Determine r(y(q)).\nAnswer: -9*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = -4*j. Let f = 3 + -1. Let l(d) = f*d - 8 + 8. Let t(k) = 3*l(k) + 2*y(k). Let n(u) = 2*u. Give n(t(w)).\nAnswer: -4*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -3 + (9\/(-21) - 564\/(-140))\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 1  (b) 17.4  (c) -24752\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -36?  (a) 0.4  (b) 4  (c) -456\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -7883 + 8052. Calculate the highest common factor of 13689 and x.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2*k**4 + 51985*k**3 - 1487*k - 18 wrt k?\nAnswer: 24*k**2 + 311910*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -214 - -244. Solve 4*q + 2*q + x = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 2, 95785, 1\/3, 0 in increasing order.\nAnswer: 0, 1\/3, 1, 2, 95785","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = -o - 1. Let v be s(-7). Let t be 3\/(-2)*(-16)\/v. Let b be (4\/t)\/(1\/(-2)). Which is bigger: -6 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 238.2 - 238. What is the closest to 2\/9 in -2, p, -3\/7, 1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*r**3 - 6*r**3 + 3*r**3)*(1 - 5 + 3)*(2*r - 5 + 5).\nAnswer: -2*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Does 102 divide (-909)\/(-1212) - (-8973)\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 34530606 is divided by 85897?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 n and 1 j when two letters picked without replacement from {n: 1, j: 2}.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-20 + 8 - 8)*(5 - 1 - 2)*(t + 2*t**4 - t).\nAnswer: -80*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is -1074021 != -8592169\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = 2*w**2. Let y(d) be the third derivative of -1\/24*d**4 - 10 + 0*d - 61\/6*d**3 - 4*d**2. Give t(y(r)).\nAnswer: 2*r**2 + 244*r + 7442","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 129 = -4*y + 341. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 4 + 3)*(10*z - z - 5*z)*((2 - 2 + 2)*(0 + 3 - 1) - 1 + 0 + 3 + (-5 + 8 - 5)*(-5 + 1 + 3)).\nAnswer: 32*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 48 and 128?\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = -1033*r - 4130. Let p be g(-4). Put p, -40, -5, 52, 4 in increasing order.\nAnswer: -40, -5, p, 4, 52","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.8 + -3.1. Let g = -2 - u. Suppose 0*t + 3*t = -5*x - 17, -4*t = -4*x - 20. What is the nearest to 0 in t, 0.1, g?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 2*a - 5 - 4*a)*(-2 - 3 + 6)*(3*a - 4*a + 2*a)*(-4 + 1 + 0).\nAnswer: 6*a**2 + 15*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 0.5, 0.4, 0.07, 59, -4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:08 PM and 8:43 PM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 23 and 19.\nAnswer: 437","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 12 a factor of 71088900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = d**2 - 3*d + 8. Let k be s(3). Suppose 3*y - 10 = t, -5*y + 2 + k = -3*t. Let o(f) = f**3 - 6*f**2 - 2*f + 4. What is o(y)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -520, -1, -3, -8, -135 in descending order.\nAnswer: -1, -3, -8, -135, -520","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 20.8+239576665\nAnswer: 239576685.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: ((-43)\/28)\/(9*(-77)\/19404)\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 8265?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -284 = -25*p + 1441. Which is bigger: 68 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 29848*p**2 + 103412*p.\nAnswer: 59696","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 2 + 2)*((3*a**2 - 5*a**2 + a**2)*(a - a + 2*a**2) + (a - 1 + 1)*(0*a**3 - a**3 + 4*a**3) - a**4 + 2*a**4 + 0*a**4) + 9*a**4 - 4*a**4 - 18*a**4.\nAnswer: -11*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = -7*k**3 + 6*k**2 + 7*k + 11. Let s(p) = -6*p**3 + 5*p**2 + 6*p + 11. Determine -5*h(r) + 6*s(r).\nAnswer: -r**3 + r + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 28511 is divided by 818.\nAnswer: 699","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 47\/15 - (-50)\/(-375). Suppose o*t - 5*b = -7*b + 4, 4*t + b = 2. What is the smallest value in -3\/2, -4, -0.5, t?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.1*0.88\nAnswer: 0.088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is -5\/21058 greater than or equal to -0.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*l**3 + 711*l**2 + 22317*l - 73431.\nAnswer: 3*(l - 3)*(l + 41)*(l + 199)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 766776999 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 42\/(-9)*(-12)\/8. Suppose h - 5 = l. Let n be ((-6)\/(-8))\/(3\/h). Let f(m) = m**2 - 4*m + 4. What is f(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 629928604.\nAnswer: 2, 29, 59, 92041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 436.9 - 436.873. Which is the second smallest value?  (a) o  (b) 6  (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = -1469*k - 134969. Calculate c(-92).\nAnswer: 179","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 1952 - 1569. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = 22*a - 65. Suppose 23*y + 12 = 2*i + 22*y, -2*i + 3*y + 24 = 0. Calculate d(i).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 20\/(-40) - 9\/(-2). Suppose 2 = 3*q - q, -s = -r*q - 9. Calculate the remainder when 37 is divided by s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.4704668 rounded to four decimal places?\nAnswer: -0.4705","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, -2, -119, -5, 0 in descending order.\nAnswer: 0, -2, -3, -5, -119","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = -3*z, 10 = -4*o - 0*o - 3*z. Let g(f) = f**2 - 10*f + 4. Let q be g(9). Let v = q - o. Which is the nearest to 2\/3?  (a) v  (b) -1\/4  (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 14, -1, 35, 1, -5 in descending order.\nAnswer: 35, 14, 1, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w\/((w*w**(3\/2))\/w)*w*w**(-5))\/(w**(1\/3))**47)**(-5) assuming w is positive.\nAnswer: w**(605\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = -5*s**3 + 2*s**2 + 3*s + 2. Let p(w) = -w**3 - 3*w**2 - w + 1. Let a be p(-2). Let n be h(a). Let b = 36 - 34. Solve b*r - n*r = 16 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1.47 * -437.\nAnswer: -642.39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Convert 884.7969l to millilitres.\nAnswer: 884796.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 1650, 1658, 1678, 1716, 1778, 1870, 1998?\n\"Answer: q**3 + q + 1648","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -63.3 - -1410.\nAnswer: 1346.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = 7*z + 4. Suppose 0 = -0*k + 2*k - 12. Let n(u) = -2*u + 4 - u - k. Let d = 18 - 13. What is d*n(q) + 2*y(q)?\nAnswer: -q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 23426285?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m\/(m\/(m*m**(-2\/9)*m))*m*m*m*m*m*m**7)**(-50)*((m\/m**(-7))\/m**3)**(21\/8) assuming m is positive.\nAnswer: m**(-48655\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = -3*a, -1005 = -5*n - a - 4*a. Let i(z) = z**2 + 29*z + 167. Let u be i(-23). What is the highest common factor of n and u?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) -0.3  (b) 0  (c) 6\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 14 * 0.17\nAnswer: 2.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(700)*2*4 + 0 + -4)**2 + (-3*sqrt(84)*2)\/(sqrt(60)\/(sqrt(5)*3)).\nAnswer: -658*sqrt(7) + 44816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 915917562 a multiple of 3959?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(312)\/sqrt(6))\/sqrt(4) + 2 + -5 + -5*(sqrt(13) + 2))**2.\nAnswer: 104*sqrt(13) + 377","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 1655511 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = -11*o + 12*o - 13*o - 12 - 8. Suppose 0 = -2*g - 3*m + 242 + 5, 0 = g + 3*m - 131. Calculate the remainder when g is divided by j(-5).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-4)\/20*(-405)\/27)\/(6\/(-16)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.49263 - 0.16737. Which is the fourth biggest value?  (a) -4  (b) 7  (c) -3  (d) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1560 (base 7) in base 9?\nAnswer: -770","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 9936133\/154 - 64521. Let f = 5\/22 + t. Which is the fourth smallest value?  (a) f  (b) 1  (c) -1  (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + sqrt(112)*2 + sqrt(112) + 3 + 1.\nAnswer: 5 + 12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 3808\/((-21)\/60 + ((-65)\/(-25) - 2)) a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 417?\nAnswer: 3, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.00378, 3, 3\/8 in decreasing order.\nAnswer: 3, 3\/8, 0.00378","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 144, 143, 148, 165, 200, 259, 348?\n\"Answer: r**3 - 3*r**2 + r + 145","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2840874?\nAnswer: 2, 3, 473479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 9 - -6. Suppose 9 = 4*b - 23. What is the remainder when x is divided by b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-1)\/(-4))\/((-9)\/36). Let k = -1487 + 1486.99. What is the third smallest value in k, x, -4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 256 times -1?\nAnswer: -256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 665*p + 6 = 668*p. Suppose -c = -3*c + 4. Solve p + c = i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 75 is divided by 66.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*d - 410 - 19. Does d = -141?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 1 - 3\/1 - -3. Let b(h) = -h. Let w be b(c). Let l = -1638.5 + 1638. What is the nearest to w in l, 2, 1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r + 0 = 7. Let x be (-8)\/(-14) - (-2)\/r. Sort x, -5, -2\/7 in decreasing order.\nAnswer: x, -2\/7, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = -2*b**2 - 1. Let j = -15 + 14. Determine v(j).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of (-370)\/1056 + (-25)\/(-75) and 101\/22.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -49120*x**2 - 49613 wrt x.\nAnswer: -98240*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(91) - (sqrt(91) + sqrt(91) + sqrt(91) + sqrt(91) + -1*-1*sqrt(91) + sqrt(91)))\/sqrt(7))**2*-5 + -1.\nAnswer: -1626","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*z + 8 = 2*z - 4*s, 0 = z - s - 1 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -x = v - 5, -2*v + 73021 = -x + 73005 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -27 - (2 + 8 - (3 - 1) - (-8 + 8))\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express (26*q**3 - 3393*q + 3393*q)*(-3 + 5 - 1)*(-1 + 4 - 2) in the form l*q**3 + v + u*q + a*q**2 and give l.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y + 3 = 37. Suppose -19 = -4*v + 3*v. Let h = y + v. Solve h = 5*t + 11 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 213 + 302. What is the hundreds digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j + 5*v + 214 = 69, 4*v = 5*j - 286. Calculate the highest common divisor of j and 34225.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c + 10 + 10 = 0. What is the third smallest value in -0.5, c, -1\/3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 579549 is divided by 3538.\nAnswer: 2855","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -239845, -959328, -2158463, -3837250, -5995689?\nAnswer: -8633780","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.13 and 441597.5?\nAnswer: 57407.675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:34 AM and 4:25 PM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 41324?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xl when two letters picked without replacement from {l: 2, y: 1, a: 1, i: 4, x: 2}?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round -10141 to the nearest 100.\nAnswer: -10100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence mime when four letters picked without replacement from pmmmmemeemzmimimmmmm.\nAnswer: 13\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is -6.6969 < -44\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6*b**2 - 6*b**2 - 27*b**3)*(6*b - 3*b + 2*b).\nAnswer: -135*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 4\/(((-3)\/(-1))\/3). Suppose i = 3*l + l - 5*p, -26 = -l - 5*p. What is the second derivative of l*t**4 + 9*t**4 + 4*t - 3*t**4 - 15*t wrt t?\nAnswer: 144*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = 16*w**2 + 2*w - 1. Calculate the remainder when a(1) is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 194 minutes before 1:31 AM?\nAnswer: 10:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 467255*j**2*r + 1205*j**2 + 299*j + 75*r + 80 with respect to r.\nAnswer: 467255*j**2 + 75","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = -3834*y**2 + 355*y. Let t(h) = 65*h**2 - 6*h. Suppose -218*g + 214*g - 1420 = 0. Calculate g*t(w) - 6*d(w).\nAnswer: -71*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = -2*n**3 + 235*n**2 + 1372*n - 2212. What is x(123)?\nAnswer: 125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 17772 - 17772 + 4821*t + 5645*t + 2*t + 0*t + 0*t + (-3*t + 4*t - 2*t)*(-2 + 0 + 0) + t + 1 - 1 to the form i + c*t and give c.\nAnswer: 10471","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 divided by 503?\nAnswer: 5\/503","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 5112 + 5114 + 5114 - 15337 - 146*a**2 - 3*a to k*a + x + v*a**2 and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (3 + (-6 - -5))*(-2)\/4. Let x(i) = 1. Let v(c) be the first derivative of 2*c**2 + 2*c + 12. Let k(y) = v(y) - x(y). What is k(g)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-4)\/3 - 39\/(-9)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.002156 to 3 decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Are -180407 and -180418 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 8428?\nAnswer: 2, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = -10*c**2. Let l be ((-42)\/4)\/7 - 1\/2. Let d(f) = 10*f**2. Give l*b(o) - 3*d(o).\nAnswer: -10*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = 3*a**3 + a**2 - a - 1. Let b be p(1). Suppose -5*y + 321 = 4*i - 259, b*y - 219 = i. Suppose -106 = -3*g + 5*r, y = 3*g - 4*r + 8. Does 2 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3 + -2*(sqrt(700) - (0 + sqrt(700))) + 2*-2*sqrt(700))**2.\nAnswer: -240*sqrt(7) + 11209","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 108 - 94. What is the remainder when 51 is divided by g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 - (-7 + (1 + -2 - -2) - -13)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: ((-72)\/540*(-18)\/2)\/(4\/70)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 - 5 + 5)*(0*s + 2*s - 4*s) - 3*s + 8*s - 38*s.\nAnswer: -27*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 times 1.05?\nAnswer: -3.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -2020 + -3?\nAnswer: -2023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from kiiykkiikii. What is prob of sequence ykk?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*w + 50 = -290. Suppose 9*y - w = 4*y. Is y a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 37998750.\nAnswer: 2, 3, 5, 10133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = -3*c**3 + 13*c**2 + 10228*c - 51090. What is y(5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*m + 92 + 196. Let v = 192 + m. Does 16 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1488ba (base 12) in base 9?\nAnswer: 577757","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) be the first derivative of 0*m**2 - 51\/4*m**4 + 0*m**3 - 135*m + 26. Find the first derivative of g(q) wrt q.\nAnswer: -153*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 - (0 - 1) - 3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 589631 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xxaa when four letters picked without replacement from xaxaxaxx?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express (0*d**3 + d**3 - 3*d**3)*(1 - 5 + 3)*(-13*d - 3*d - 2*d) in the form l*d**4 + z*d + n + v*d**2 + a*d**3 and give l.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p**2\/7 + 2108*p\/7 - 555458\/7 = 0. Calculate p.\nAnswer: 527","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 550 is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = -19*p**2 - 95*p - 95. Let d(z) = -z - 1. Let r(y) = -95*d(y) + w(y). Let j(n) be the first derivative of 13 + 0*n - 1\/2*n**2. Give j(r(a)).\nAnswer: 19*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l - 8101 = -3*c, l + c - 4050 = -0*l. What are the prime factors of l?\nAnswer: 4049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z + 346 = 6. Suppose -4*q - v + z = 3*v, 75 = 3*q - 3*v. Let d be q\/(-126) + 2\/12. Solve d = -4*n - 16 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 10 and 95?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-nine halves of a century in months?\nAnswer: 17400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) be the second derivative of 65*b**4\/4 - 9*b**2\/2 + 57*b - 1. Differentiate w(p) wrt p.\nAnswer: 390*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -75\/114793678 and -25\/57396839.\nAnswer: 114793678","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 1263659 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 467 and -607.\nAnswer: -283469","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 9 - 0. Suppose 0 = -r + j, -j - 10 = f*r - 12*r. Suppose -2*h - r*n - 25 = -3*h, -1 = n. Is h a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -2052 - -6161\/3. Let g = 75 + -77. Let k(a) = a**2 + a - 3. Let x be k(0). What is the second smallest value in x, g, m?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g - 6 = -3*n, 8 = -4*g + 3*n + n. Suppose 3*m - 22 + 172 = g. List the prime factors of ((-6)\/(-10))\/((-5)\/m).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 29 + -31. What is the second biggest value in -2\/3, u, -0.5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -70 times -4\nAnswer: 280","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand 86*r**2 + 6 - 6 - 4*r**2 - r**2 + 3*r**2 + (0*r + 2*r + 0*r)*(-r + 4*r - r).\nAnswer: 88*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.03 - 0.063. Let x = -0.013 - k. Which is bigger: 2\/5 or x?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b = -3*g, 5*g - 7*b + 2*b = 0. Suppose -j - 5*i = -20 - 20, g = 2*j + i - 107. Let y = -21 + j. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-28)\/(-98))\/((-2)\/(-14)). Suppose -11645 = -5*b - 4*q, v*q - 99 = -b + 2224. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -25.964 - -24.964. Put -2, 10\/11, q, -3, 3 in descending order.\nAnswer: 3, 10\/11, q, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -1367 + 4521\/4. Let i = k - -238. Let -2*m - 1 - 1\/4*m**3 - i*m**2 = 0. What is m?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0177527 rounded to three dps?\nAnswer: 0.018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -997956, -998009, -998074, -998151, -998240, -998341, -998454?\n\"Answer: -6*h**2 - 35*h - 997915","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) be the second derivative of 5*t**6\/2 + 985*t**3\/6 - 743*t. What is the second derivative of s(x) wrt x?\nAnswer: 900*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m + 17324 = 2*l, -91*m = -90*m + 5*l - 5753. What are the prime factors of m?\nAnswer: 2, 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence aeeu when four letters picked without replacement from {a: 1, e: 2, u: 9, l: 7}.\nAnswer: 1\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Does 6 divide 60981?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: (224\/42)\/((-264)\/(-396))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c + 275 = -2*c. Let m be ((-22)\/c)\/(2\/20). Suppose -m*n + 1150 = n. What is the units digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 699e (base 16) to base 14\nAnswer: 9bd4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -23, -226, -775, -1838, -3583, -6178?\nAnswer: -9791","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 75 a factor of 14543523?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g\/(g*g**(-3\/10)*g*g)*g**4)\/(g**(-4)*g**(1\/4)\/g*g)*(g*g*g*g**(1\/4)*g**(-1\/5)*g)**(-33) assuming g is positive.\nAnswer: g**(-638\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -148  (b) -2\/17  (c) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -18217*a**3 - 93 + 540 - 447.\nAnswer: -18217*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x + 6*x - 10 = 0. Suppose 3*z = -9, 4*z + 22 = 4*y + y. What is the remainder when x is divided by y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -127\/7 - -627\/28. Let m be 60\/24 - 2\/(-4). Which is greater: m or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together 0.0279 and 0.5.\nAnswer: 0.5279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0020708708915 rounded to 6 dps?\nAnswer: -0.002071","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Product of -1396554 and 0.2.\nAnswer: -279310.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 395 and 487667.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-18)\/(-1))\/((-16)\/(4 + 4))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*t - 3*t = -8. Let x = t + 2. Calculate the remainder when x + 1 + 14 + -8 is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -30*q = 27*q + 22*q - 1738. Solve 4*n - 8 = 0, -18*m - 12 = -q*m + 2*n for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 2 + -6. Find the common denominator of p\/(-2) - 2\/6 and (-143)\/12 - (-113 - -124) - 2\/8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -3 - -6. Let t(y) = -y**3 + 4*y**2 - 2*y + 3. Give t(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0.2 - 0.2. Let d = -12\/5 - -41\/15. Let f be (410\/(-60) - -8)\/(14\/8). Which is the nearest to f?  (a) v  (b) d  (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*i**3\/11 + 24*i**2\/11 + 2*i\/11 - 24\/11.\nAnswer: -2*(i - 12)*(i - 1)*(i + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xo when two letters picked without replacement from {o: 3, g: 4, x: 2}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -36 - -63. Let w = 27 - a. Solve -3*s + 3 + 3 = w for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) be the third derivative of 0 + 0*o**4 - 188*o**2 - 1\/24*o**6 - 1\/15*o**5 + 109\/3*o**3 + 0*o. What is the first derivative of l(m) wrt m?\nAnswer: -15*m**2 - 8*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 212813064 divided by 53203266?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 88723.76997 - 88723. What is o rounded to 2 decimal places?\nAnswer: 0.77","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -12184236 by 3046059.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*y = -6 - 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w = 2*v + 2, -w - 6*v = -v + 11. Let s = 3 + -1. Suppose s*o = -5 - 5. Which is the closest to w?  (a) o  (b) -3  (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-16)\/56)\/((-7)\/(-84)*8). What is the second biggest value in a, 2.6, 4?\nAnswer: 2.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5 divided by -30875.\nAnswer: -1\/6175","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.05 - 0.15. Which is the closest to s?  (a) -0.2  (b) 0.3  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -406 + -3?\nAnswer: -411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 13511*r**2 - 3*r + 1085.\nAnswer: 27022","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 35\/7 + (-2)\/(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 541896611*s**2 + 1063714632*s?\nAnswer: 1083793222","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -0.2  (b) 1\/12  (c) -0.07  (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = 2*p**2 - 5*p - 23. Give t(4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 4\/3  (b) -5  (c) 3  (d) -17  (e) -17\/4  (f) -28\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = -61*y**2 + 18. Let m(l) = 5*l. Calculate h(m(s)).\nAnswer: -1525*s**2 + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 0\/((14\/7)\/(-2)). Suppose 3*z + 4*t = -14, -2*z - t + 4 - 5 = i. Solve 8 = -z*n + 6 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2099 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = -231*o - 444. Let g be v(-2). Calculate the highest common divisor of 192 and g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 775\/7 - 111. Let g = -33 + 36. Does g = q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d*d*d**(3\/10))\/d)**(-26\/3)*d**(-11\/2)\/(d\/d**21) assuming d is positive.\nAnswer: d**(97\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6170534684.\nAnswer: 2, 47, 883, 37171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) = -11*h + 33*h - 7 - 2*h - 11*h - 8*h. Let t(x) = x**2 + 5*x - 6. Let s be t(-5). Give j(s).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 11 - 8. Let r(v) = v**2 + 12*v + 22. Let m be r(-10). Let i be 2 + 450 + -1 + (m - j). What is i rounded to the nearest one hundred?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -497.69 - -505. Let k = z - 7.3100437. Round k to six dps.\nAnswer: -0.000044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*o + 7*o. Suppose -2*u + 33 = t, -t - t + 6 = o. Solve 4*k - 1 - u = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -19 to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*d - 32 + 14 = 0. Let h = -17\/14 + -2\/7. Let z(y) = y**2 + 3*y - 1. Let c be z(-3). What is the closest to c in d, 0.5, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4 (base 15) to base 13.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 30165727?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = 74*s**2 + 69. Let o(c) be the second derivative of -c**2\/2 + 4*c - 2. Let r(l) = b(l) + 5*o(l). Differentiate r(z) with respect to z.\nAnswer: 148*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -353533223 + -2?\nAnswer: -353533225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -5353 take away -19749896.8?\nAnswer: 19744543.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Put 17, 3, -2, -74, 2, -4 in descending order.\nAnswer: 17, 3, 2, -2, -4, -74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i + 4*r + 60 = -6, 0 = -2*i + r + 51. Suppose 4*a - i = 153. Calculate the remainder when a is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 572 and 208?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -264 = 4*s + 4*x, 4*x = -2*s - 37 - 105. Suppose -1067 = -17*t - 1050. List the prime factors of 6*(1 - (t - s\/(-2))).\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = 2*a - 2*z - z, 0 = -z. Let i be (-880996)\/10 + ((-24)\/(-20))\/a. Round i to the nearest 10000.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 744753 + 744758 - 1489511 - 18*d.\nAnswer: -18*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (1 + (-680)\/(-12))\/((-49)\/(-588))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 1255920\/18 - (-3)\/(-9). Suppose -4*t + 154968 = 4*q, -2*t + m = 5*q - 123925. Let v = -1549443\/40 + q. Calculate the common denominator of v and 95\/14.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 31566158 and 14568996.\nAnswer: 189396948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.21019 - -3.58079. What is z rounded to 1 decimal place?\nAnswer: 3.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 208*-202270.\nAnswer: -42072160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*r + 1876604 = 4*i + 1876554, 4*r - 10 = -3*i for i.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = -4*i + 1. Suppose 4 = c + i. Suppose -50*h**c + 4*h**2 - 4*h**4 - h**5 + 45*h**3 - 6*h**2 = 0. What is h?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence gxgx when four letters picked without replacement from {g: 5, w: 9, x: 2}?\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -276 times 791235?\nAnswer: -218380860","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-704750 - 1050*v + 704750)*((-4 - 1 + 4)*(-2 + 4 - 3) + 1 + 0 + 0 - 3 + 1 + 9) to the form q + z*v and give z.\nAnswer: -9450","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -5, 0.05, 18, -3, 371?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: ((-5)\/6 + 1)*(-6)\/3\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -45 + 76. Suppose 45 = -2*i + 9. Let r = i + j. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2036 + 4290 + 10594 + 3*v**2 + 10*v.\nAnswer: 3*v**2 + 10*v + 12848","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3745*i + 80003 - 233548 = 0 for i.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -263893*k + 263924*k = 961 for k.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 17 a factor of 413?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = 4*k**2. Suppose 2*x + 2 = -4*d, -x + 6*x = d - 27. Let q(c) be the third derivative of 5*c**d - 1\/24*c**4 + 0 + 0*c**3 + 0*c. Give t(q(a)).\nAnswer: 4*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 1 + 1145111051?\nAnswer: 1145111052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3879?\nAnswer: 3, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1031446.\nAnswer: 2, 13, 39671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 558485 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Are 3693\/2 and 1848 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6 = 2*u - 900*x + 889*x, -6*u + 46 = -x for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -33*w**2 - 19*w**2 - 151*w**3 + 33*w + 80*w**2 - 24*w**2 wrt w.\nAnswer: -906","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = 97*c. Let m(s) be the first derivative of -6*s**2 + 2052. What is m(p(q))?\nAnswer: -1164*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 2 - 2)*(-2 + 2*r + 2) - 127 - 130*r + 138 + 31*r.\nAnswer: -105*r + 11","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Express 5 - 5 - 4*h**2 + (1 + 3 - 2)*(-3*h + 3*h - 2*h**2) + h - h - h**2 in the form f + a*h + b*h**2 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 2, -269, -8, -4, 5, -3 in increasing order.\nAnswer: -269, -8, -4, -3, -2, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8 - 185 = -64*q - m, -888*m + 886*m = -2 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 3*-2*(4\/30 + 11*1079\/(-92130))?\nAnswer: -1\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -4 - -7. Let m be x\/1 - (-2 + 2). Suppose m*b - 5*b + 40 = 0. What is the remainder when b is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 37\/1202480 and -9\/75155.\nAnswer: 1202480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o = -2 + 12. What is the smallest common multiple of o and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 5218 + -4502. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 21985 - 12371. Calculate the least common multiple of g and 8.\nAnswer: 38456","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 3 divide 2170?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = -k**3 + 8*k**2 - 8*k. Calculate s(7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 48 + -33. Let n(i) = -3*i + 54. Let l be n(15). Suppose l*x = -297 + 954. What is the remainder when x is divided by v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = -u**3 + 21. Let v = -3 + 6. Suppose -x + 4*x = -2*a + 177, 0 = -v*a - 9. Calculate the remainder when x is divided by o(0).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = -8*k**2 + 79*k - 30. Calculate r(9).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 528, 1068, 1608, 2148?\n\"Answer: 540*z - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 3463 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + (-2*sqrt(56)\/sqrt(8) - (1*sqrt(847) - sqrt(7)))**2.\nAnswer: 1007","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -28097528 divided by 47948.\nAnswer: -586","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 1335047446.00000325 - 1335046967. Let x = w + -479. What is x rounded to seven dps?\nAnswer: 0.0000033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine k, given that -4*k**4\/5 - 4092*k**3\/5 + 410784*k**2\/5 + 5903312*k\/5 + 2780544 = 0.\nAnswer: -1114, -10, -3, 104","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is (-25)\/130*8\/(-10)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1117500?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express (0*t**2 + t**2 - 3*t**2 + (-2 - 7 + 4)*(0*t**2 + 3*t**2 - 2*t**2))*(-2*t - 4*t + 3*t) as d*t + f + p*t**2 + l*t**3 and give l.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q*q*q\/q**(-1\/2)*q)\/(q*q**(4\/5)))\/(q**(-17)*q**1) assuming q is positive.\nAnswer: q**(187\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 21\/4 of a micrometer?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3543*r - 2576*r + 190*r + 864*r.\nAnswer: -5065*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in 0.5, -1\/7, -2\/9, -0.12?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*u**2 + 4018*u + 3139*u + 2811*u to the form r*u**2 + a + d*u and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -117 + 86. Let j = g + 28. Does 2 divide (-16)\/(8\/j*1\/4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = -x**2 - 2*x + 3. Let w(j) = 1. Let s(h) = b(h) - 3*w(h). Factor s(t).\nAnswer: -t*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 7066, 7069, 7072, 7075, 7078?\nAnswer: 7081","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -166, -180, -204, -238, -282?\nAnswer: -336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 19, 47, 83, 121, 155?\n\"Answer: -y**3 + 10*y**2 + 5*y + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*(2 + ((1 + sqrt(891))*6 - -4*(sqrt(891) + 0)) + -1))**2.\nAnswer: 45360*sqrt(11) + 3209364","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 26 + 12 + -28 + -4 + -1 - 16\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"}
{"text":"Question: Let v be -7 + 0 - 602\/129*12\/(-8). Which is the third biggest value?  (a) v  (b) 5  (c) 1  (d) 1\/2  (e) -0.48\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 3, -2\/17, 0.5, -0.3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**(4\/7)*l*(l\/(l\/((l\/(l\/l**(-10)))\/l)))\/l)\/(((l*l*l**(-5))\/l)\/l**(1\/4)) assuming l is positive.\nAnswer: l**(-173\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 14 in -4, -3\/7, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 50143 (base 10) in base 9?\nAnswer: 75704","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Do 0 and 154\/31 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 47\/42064 and 101\/290624.\nAnswer: 3196864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -13.999883 - 0.000757. Let o = -14 - y. Round o to four decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 96548.8476 to the nearest one hundred.\nAnswer: 96500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Work out -20744 - 0.08.\nAnswer: -20744.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 - 5 - -7 - (11 - -48 - (17 - 21))?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f - 5*g = -8*f + 87, -89 = -3*f - g. Suppose -7*a + 11*a = f. Solve -2*t = -5*u - 33, 2*t = -u - 2*u - a for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = -u**2 + u - 12. Let c be h(5). Let t be (7\/(-3) + 1)\/((-39)\/1053). Let p = t + c. Solve 0 = v + 2*k - 8, -v - p*k + 14 = -0*k for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = -5714*h**2. Let c(a) = 25*a. Determine q(c(o)).\nAnswer: -3571250*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ll when two letters picked without replacement from llll?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -25099299*x**3 + 21702232*x**2 wrt x?\nAnswer: -150595794","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 29094?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -12*a + 3*a + 27 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 416 minutes after 8:05 PM?\nAnswer: 3:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -44*(-1 - 6\/2). Let r be 3\/2*u\/24. Suppose 2*i - 22 = -2*n, r = 3*i - 4*n - 36. List the prime factors of i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*w - 4*w - 4*w + (-3 + 1 + 1)*(0*w - w - w) + 0*w - 5*w + 4*w + 2*w - 6*w + 3*w - 4*w - w + 4*w + 5 + w - 5 + (-3 + 3 + w)*(-4 + 0 + 6) + 2 - 2 + w.\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1739?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-57 - 106 - 61 - 18*d)*(-4 + 0 + 3)*(-1 + 1 + 1)*(-d + 3*d - 4*d).\nAnswer: -36*d**2 - 448*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -0.417 + -2203.583. Let k = b - -2203.99057. What is k rounded to four decimal places?\nAnswer: -0.0094","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -1324, -2695, -4066?\n\"Answer: -1371*c + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 1 - 1213?\nAnswer: -1212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q = -7 + 1, -5*u = -4*q - 422. Suppose 5*r = u + 2099. Calculate the highest common factor of 38 and r.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 89349?\nAnswer: 3, 13, 29, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = -d**3 + 32*d**2 + 225*d - 7. Give j(-6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -576*d**2*s**2 + 186*d**2*s - 3*d wrt s.\nAnswer: -1152*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 8129375567 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence mmpp when four letters picked without replacement from {p: 7, m: 2}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1 - 5 - 18715*a + 4.\nAnswer: -18715*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is l in -2*l**5 - 60*l**4 - 690*l**3 - 3760*l**2 - 9600*l - 9216 = 0?\nAnswer: -8, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -387673*j**5 + 2*j**4 - 17*j**3 + 274515*j**2 + 1.\nAnswer: -23260380*j**2 + 48*j - 102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Express ((-4 - 2 + 4)*(3*a - a + 0*a) + a + 2*a + 0*a)*(-4 + 0 + 2)*(-5 + 8 + 12)*(-63 + 104*a + 63)*(-3 + 3 + 2) in the form w*a**2 + u + n*a and give w.\nAnswer: 6240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (0 + 2)\/((-18)\/(-9)). Let s(b) = -23*b**3 + 2*b**2 - 5*b. Let w(v) = -v**2 - v. Let d(c) = m*s(c) + 2*w(c). Find the second derivative of d(a) wrt a.\nAnswer: -138*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-20)\/30*(-78)\/4. Let a = 8 - s. Let i = 6 + a. Which is greater: i or 1\/3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 81\/4 of a litre in millilitres?\nAnswer: 20250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 415*c + 2040 + 7090 = 0 for c.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 221 + 1108. Suppose -4017 = -14*b - h. Does 32 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 5\/(8\/16*-2). Let o(z) = 5*z + 16. Calculate o(n).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 165329048 to the nearest integer?\nAnswer: 549","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort 19, -0.03, 1\/144327, 5 in increasing order.\nAnswer: -0.03, 1\/144327, 5, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1047*w - 2102*w + 39 = -1042*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o - o = 6. Let i be (12\/(-8))\/(o\/8). What is the tens digit of (-770)\/(-28)*i\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 0 - (-1)\/2*4. Determine t, given that 3*t + z*t**2 - 3*t = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s + 3*w + 2 = -2*s, -5*w - 3 = -3*s. Suppose -a + 4 - s = 0. What is the remainder when (-24)\/(-3)*2\/4 is divided by a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 0.1, -10, 1\/2, -45, 108\/17?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(77) + 1*sqrt(77)*-6 + 4*(sqrt(77) - 2*sqrt(77)))\/((sqrt(11) - sqrt(1584)*2) + sqrt(11) + (sqrt(66) - 1*sqrt(66))\/sqrt(6)).\nAnswer: 9*sqrt(7)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.902031479 take away 0?\nAnswer: -1.902031479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w + 14 = 8*w. What is the third derivative of 102*h**3 - 231*h**5 - 102*h**3 - 62*h**2 + 201*h**w wrt h?\nAnswer: -13860*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -21 + (41 + -9 + -18 - (3 + -140)).\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 107868779079 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(200) - (1 + (0 + sqrt(200) - sqrt(200))**2) - ((sqrt(200) - (sqrt(200) - sqrt(200)*-2 - sqrt(200)))*4)**2) + -5.\nAnswer: -3206 + 10*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 0.1 and -7222564133?\nAnswer: 7222564133.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((1470\/20)\/(-49))\/((-22)\/8).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence olll when four letters picked without replacement from tolttlltt?\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n - 120 = -3*b, -2*b + 3*n + 87 = 2*n. Suppose -38*a + 628 - 9 + 179 = 0. Calculate the least common multiple of a and b.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -401.3 - -272. Round m to the nearest one hundred.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -21\/19 + 90\/133. Let f(o) = -o**3 + 8*o**2 - 7*o + 5. Let z be f(7). Suppose 3*s - 2 + z = 0. Is m not equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 77 is divided by (-585)\/(-25) + 4 - 4\/10?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1 times 1.26204\nAnswer: 1.26204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 496752 and 6288?\nAnswer: 496752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1011, -4022, -9039, -16062, -25091, -36126, -49167?\nAnswer: -64214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*z = -4*k - 2, -31*z = -4*k - 28*z - 18 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -32, -67, -110, -173, -268, -407, -602, -865?\n\"Answer: -2*m**3 + 8*m**2 - 45*m + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1829 (base 11) to base 13.\nAnswer: 10a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i**2 + 0 - 1\/2*i - 1\/2*i**3 = 0. What is i?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -h - 5*u - 5, 0*u + 47 = -5*h - 3*u. Suppose -5*o + 35 + 50 = 0. Let z = o + h. Is 2 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -15 - (3 + -17 + 2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -382631 and 18.\nAnswer: -6887358","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = -n**3 + n - 1. Let r(h) = 5*h**3 - 3*h - 172. Calculate 3*o(k) + r(k).\nAnswer: 2*k**3 - 175","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = -6*w - 16. Let p(k) = -11*k - 33. Let a(l) = -3*p(l) + 7*v(l). What is the first derivative of a(f) wrt f?\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 12.3 - 13.3. What is the biggest value in -5, 7, n, -4?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: (427\/1281)\/(1\/6)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 624*i**3 - 786*i**2*k - 199857*k + 1 wrt i?\nAnswer: 1872*i**2 - 1572*i*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Product of -7853.209 and 2.\nAnswer: -15706.418","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*x**2 - 2*x**2 - 4*x**2)*(-186 + 125 - 206) + (-1 + 1 + 2*x)*(3*x + 2*x - 3*x).\nAnswer: 271*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -0.5  (b) 2\/19  (c) 1  (d) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 204 - 355. Let z = -364 - d. Let m = z + 213.00000137. Round m to 7 dps.\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4 - 4 - r + 1 - 2*r - 1 + (5*r - r - 5*r)*(-69 + 28 + 30).\nAnswer: 8*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1426*-0.4.\nAnswer: -570.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 211237481*f**3 - 98491*f**2 + 19*f + 12?\nAnswer: 1267424886","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-3 + (-6)\/(-2))\/(-1). Let b be 1\/((0 - 1)\/(-2)). Suppose -2*g + 5*g**2 + u*g + g**3 - 4*g**b = 0. What is g?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 480 minutes before 7:57 AM?\nAnswer: 11:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Does 20 divide 34499580?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -4 in 2\/9, -2, 406, 3, 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 123654 is divided by 336?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1a231a (base 12) to base 2.\nAnswer: -1110000010101000110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = 3*u**3 - 4*u**2 - 15*u - 10. Give y(4).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = k**3 - 4*k**2 + 3*k - 3. Let z = -14 - -17. Suppose 4*g - 3*m = -m + 174, 5*g - z*m = 218. Suppose 10 = -11*v + g. Determine a(v).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -394445 and 0.5?\nAnswer: -197222.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) be the first derivative of -p**4\/18 + 2*p**3\/27 + 17*p**2\/9 + 10*p\/3 - 158. Factor f(u).\nAnswer: -2*(u - 5)*(u + 1)*(u + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 28 + 0. Suppose 2*g - 2 = 4*k + 4, -5*g + h = 3*k. Let z be (-1*2\/(-6))\/1. Which is the closest to z?  (a) -12  (b) k  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 13*i - 38 - 14. Let b(o) = -4*o - 7. Let l be b(-5). Solve -i = -3*k - l for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = -3 - 8*m - m + 4*m**2 - 5*m**2 - 1 + 4*m. Let v(y) = -6*y - 5. What is 4*r(u) - 3*v(u)?\nAnswer: -4*u**2 - 2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1329*g - 36803 = -608*g for g.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 7604, 14710, 21818, 28928, 36040, 43154, 50270?\n\"Answer: n**2 + 7103*n + 500","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (18\/(-5))\/((-936)\/465 + 2). Suppose n + 5 = 0, -n - 2*n = -u + a. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand v**2 + v - v - 3*v**2 + v**2 + 3*v**2 + (0 + 0 - 2)*(v**2 - 4*v**2 + v**2) + 1 - v**2 - 1 + v - 32*v + 32*v - 48*v**2.\nAnswer: -43*v**2 + v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 501 minutes before 5:34 PM?\nAnswer: 9:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 276250183 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sum 0.4 and -901.\nAnswer: -900.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1392024?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000001261529 to 7 dps.\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -0.026 from -3.46.\nAnswer: -3.434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 1004630 (base 8) in base 2?\nAnswer: 1000000100110011000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*w + 2*w - 2*z + 66 = 0, 0 = z - 3. Suppose 12*h = 18 + w. Solve h*i = 2*s - 10, -5*i - 17 = -0*i - s for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (3\/(-2))\/((-10)\/20). Solve 5*o - j - 4 = -16, 3*j = -b*o - 18 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from fsffqqf. What is prob of picking 3 f and 1 q?\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -196 = -4*a - 192 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = n**3 - n**2 - 9*n + 10. Determine h(5).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -148 divided by -135?\nAnswer: 148\/135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort 25, 14, 1, 36, 2.\nAnswer: 1, 2, 14, 25, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a**5\/a)\/((a*a*a**1)\/a))\/(a**1)**(2\/153) assuming a is positive.\nAnswer: a**(304\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 10\/(-25) + (-52)\/(-5). What is the tens digit of 6*-1*(-65)\/z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 56, 120, 168, 194, 192?\nAnswer: 156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 7\/9250 and 71\/59570?\nAnswer: 1489250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2 + 0*a**4 + a + 90*a**2 - 175*a**2 - a**3 + 2*a**4 + 87*a**2 to the form d*a + w*a**3 + c*a**4 + h*a**2 + k and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express (51*h**2 - 51*h**2 + 13*h**3)*(-1738*h - 2540*h + 1733*h)*(-3 + 2 + 3) in the form v + d*h + i*h**2 + g*h**4 + s*h**3 and give g.\nAnswer: -66170","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = -4*y**2. Let l(p) = -2810313*p**2. Determine l(n(q)).\nAnswer: -44965008*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -373, -1529, -3449, -6133, -9581, -13793, -18769?\nAnswer: -24509","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 2972235.932 to the nearest 1000.\nAnswer: 2972000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -4  (b) -625  (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 4 and 8\/2 - (-3 - 11)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -72989\/3839504 - -1\/12112. Let p = 335\/951 + a. What is the nearest to 0.1 in p, -5, -2\/13, 0.8?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 252 and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 636 minutes after 2:06 AM?\nAnswer: 12:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2 - (-2 - (5 + -12 + 6))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -3137 - -14440. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m**(-2\/41)*m**(-4\/5))\/(m**(3\/7))**15)**(-2\/61) assuming m is positive.\nAnswer: m**(20886\/87535)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*l - 2*l + 13*l - l + 4*l - 5*l + (-l + 2 - 2)*(-2 + 4 - 3).\nAnswer: 10*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*f = 214 - 52. Find the second derivative of 7*a - 6*a - 79 + a**2 - f*a**2 + 4*a**3 wrt a.\nAnswer: 24*a - 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -4 - 35845?\nAnswer: -35849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -792, -1608, -2424, -3240, -4056, -4872?\nAnswer: -5688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 2086 a factor of 45081612?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) 3\/2  (b) 0.05  (c) -1.05  (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*b - 51 = 5*f, 4*f - 5*b + 31 = -8. Let u be (f\/(-22))\/((-1)\/(-16)). Suppose -4*o + g = -90, u = 2*o + g - 40. List the prime factors of o.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -2240 + 3?\nAnswer: -2232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 k and 1 y when two letters picked without replacement from {k: 2, i: 2, n: 6, f: 1, y: 2}?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"}
{"text":"Question: Find r, given that 2*r**4 + 340*r**3 - 686*r**2 + 344*r = 0.\nAnswer: -172, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*j**3 - 3*j**2 + 34 + j - 19*j**4 + 141 - 177 as a*j**3 + m*j + s*j**2 + n*j**4 + t and give n.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 1 - 94937?\nAnswer: -94936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -34*u = -u + 132. Let h be (u - 14\/(-3))*(-12 - -15). Solve m - 2*w - 12 = 0, h*m - w = -5*w - 16 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from xgxffxzjxofoggggoo. Give prob of picking 1 z, 1 x, and 2 f.\nAnswer: 1\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 17\/6 of a day in minutes?\nAnswer: 4080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {q: 7, r: 9}. Give prob of picking 3 r and 1 q.\nAnswer: 21\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 198 - 7*c**2 + 197 - 395.\nAnswer: -7*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = p**2 + 14*p + 19. Is f(-14) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = 8 + 0 + 2*i - i - 1. Let m be q(-3). Find the first derivative of 0*h + 3*h + 5 - m wrt h.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1292409, -1292396, -1292383, -1292370, -1292357?\nAnswer: -1292344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*m - 13 - 4 - 52 - 3*m + 0*m.\nAnswer: 2*m - 69","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xkz when three letters picked without replacement from xzzzxxkzxxkzx?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 219253794*d**4 + 2*d - 152032695.\nAnswer: 2631045528*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*f + 5 = 20*a - 17*a, f = -13*a - 55 for f.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 214274 a multiple of 191?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -169343 = 7635*k - 31913 for k.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 1950 a factor of 481248300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 29, 40, 51, 62?\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 29*a = 33*a + 3916. Round a to the nearest 100.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence wo when two letters picked without replacement from tonpnwg?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 1671*r**3 - 23136*r**2 - 144829243*r.\nAnswer: 10026*r - 46272","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 31254 is divided by 95?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round -21860 to the nearest one thousand.\nAnswer: -22000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r + 0*h - 5 = 3*h, -3*r + h = -11. Suppose 0 = -x + 5*k + 16, 3*x - 5*x + 20 = -r*k. Is (x\/(-4))\/(6\/(-32)) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 38536755211 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -4 or -68\/27?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -32?  (a) -9  (b) -87  (c) 0.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 243, 244, 245, 246, 247, 248?\nAnswer: 249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*c + 10 = 5*c + k, 3*k = 5*c + 26 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*r = r. Suppose -33 = 4*q + 3*f, 3*q + 3*f + 18 = -3. Let z = r - q. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 102643171, 205286339, 307929507?\nAnswer: 410572675","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 269, 267, 265, 263, 261?\n\"Answer: -2*g + 271","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 487345859, 487345860, 487345861?\nAnswer: 487345862","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 42, 6587, -8.\nAnswer: -8, 42, 6587","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round 225901 to the nearest one hundred thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*(sqrt(18) + 2*sqrt(18)) + sqrt(54)\/sqrt(3)*1)\/(-3*(sqrt(144)*4 - sqrt(144))).\nAnswer: sqrt(2)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 2.086 * -0.4\nAnswer: -0.8344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -1342, -5388, -12136, -21592, -33762, -48652, -66268?\n\"Answer: -m**3 - 1345*m**2 - 4*m + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2055 or -178\/7?\nAnswer: -2055","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = 8*j**3 - 103*j**2 + 5. Let m(v) = 11*v**3 - 154*v**2 + 7. Determine -7*b(a) + 5*m(a).\nAnswer: -a**3 - 49*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ye when two letters picked without replacement from {e: 1, a: 2, y: 4, l: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.62 less than -13907891?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Express -5*q**2 + 1 + 0 - 5 + q**2 as g*q**2 + j*q + t and give g.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2328*c - 3304*c + 70272 = 0 for c.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -8 (base 11) to base 12\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -61 + (0 - 13) + 35\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = l - 20. Let m be (-24)\/324 - 5681\/(-513). Determine w(m).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 28071 = 1947*i + 4707 for i.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 27.2 + -2.2. Let l = f + -21. Which is the second smallest value?  (a) 0  (b) -5  (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-846450)\/3420)\/(18\/8)\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f**(1\/4))**(-2\/83)\/(f**(3\/5)\/f**(-1)))\/((f**0*f*(f*f**(1\/3))\/f)\/(f**6*f**(3\/4))) assuming f is positive.\nAnswer: f**(18977\/4980)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:25 AM and 3:49 PM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Product of 33 and -0.2.\nAnswer: -6.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -53, -61, -75, -95, -121, -153, -191?\nAnswer: -235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -120333011122 - 2?\nAnswer: -120333011130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s\/((s\/(((s*s**(2\/7))\/s)\/s*s))\/s*s))**(-24) assuming s is positive.\nAnswer: s**(-48\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = -9*o**2 + 3871*o - 27176. What is k(7)?\nAnswer: -520","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 9270429?\nAnswer: 3, 7, 441449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/4 of a gram in milligrams?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*d**3 - 54110*d**2 - 162348*d.\nAnswer: 2*d*(d - 27058)*(d + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify w**(-3\/7)\/w**(-1\/32) assuming w is positive.\nAnswer: w**(-89\/224)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-54)\/(-90))\/(9\/(-6)). Let y = 0 + 0.1. Which is the closest to k?  (a) y  (b) -4  (c) -6\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*j = 3*i - 22, 5*i + 2*j - 19 = 5. Suppose i*x - 20 = 0, 8*x - 8 = -3*b + 4*x. Is (-30 - 4)*58\/b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:06 AM and 7:47 AM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -96*n = -w - 92*n + 12, 0 = -w - 7*n - 32 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 3*(-20)\/45*27\/198. Put 26, g, 2\/11, 0.5 in decreasing order.\nAnswer: 26, 0.5, 2\/11, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -a2683 (base 15) in base 14?\nAnswer: -d56c1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6*k + 15*k + 5*k**2 - 19*k.\nAnswer: 5*k**2 - 10*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-12)\/10)\/(4\/(-10)). Suppose 4*w - 5 + 21 = -2*c, 5*c - j*w + 27 = 0. Let t = c - -12. What is the greatest common factor of 6 and t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((-60)\/8)\/(3*(-3)\/180). Let g be (20\/t)\/((-5)\/(-75)). Solve 0*f + g*f - 6 = -w, 2*f = 3*w - 2 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2 in 0.1, 620, -2\/245?\nAnswer: -2\/245","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (25\/(-15))\/(1\/(-3)). Suppose k*h = h - 72. Does 11 divide (-12)\/(-54) - 1130\/h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2\/((-45)\/(765\/578))?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 13727868 divided by -623994?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) be the third derivative of -b**4\/24 - b**3\/6 + 2*b**2. Let l(q) be the third derivative of -q**4\/24 - q**3\/6 - q**2. Determine 6*k(y) - 5*l(y).\nAnswer: -y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-10 + 16)*(-6)\/(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-4)\/(-6)*(0 - -6). Let h = 509 - 509. Solve h = -m*x - 0*x + 4 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 13134385 by 5.\nAnswer: 2626877","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from hdooohunudmdhdommhuh. Give prob of sequence ddhh.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0 - -2. Suppose -3*m + l + 6 + p = 0, -4*l = 3*m - 28. Let x(u) = -u**3 + 5*u**2 - 4*u + 2. What is x(m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 + 12 + 8 - (25 - 40).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 7592?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 10 - 421913?\nAnswer: -421903","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-5 + 4 + 2)*(-3 - 3 - 2) + (3 + 2 - 6)*(-6 + 3 + 4) + 2 + 1 - 2 + 2 + 4 - 4 + 5 - 4 + 0)*(22*x**2 - 71*x**2 - 46*x**2).\nAnswer: 475*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 1079634035 to the power of 1\/8, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 2665517.80016827401 + 19.19983412599. Let k = -2665538 + v. Let f = 1 + k. Round f to six dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 295 + -506. Let j = y + 918. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-52295066)\/(-8) + (-2)\/8. Suppose 3*m + 80612199 = n. Let f = -8991772 - m. Round f to the nearest 1000000.\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 8094?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 30 and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m*(m\/m**(1\/3))\/m*m)**2\/(m**(4\/3)\/(m\/(m*((m*m**5)\/m)\/m*m))) assuming m is positive.\nAnswer: m**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -78*x + 151*x - 2*b + 2 = 71*x, 0 = 2*x + 5*b - 47 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {q: 3, r: 2, z: 3, o: 2, c: 4, l: 4}. Give prob of sequence locz.\nAnswer: 1\/765","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express -213*r + 103*r - 106*r**2 + 34*r as c*r + l + f*r**2 and give f.\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -44, -86, -156, -254, -380?\n\"Answer: -14*n**2 - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 12 - 251*i**3 + 359*i**3 + 3 - 117*i**3 - 20.\nAnswer: -9*i**3 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 22067493 and 97755?\nAnswer: 2793","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-68)\/(-544)*-80 - (-4 - -1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -5  (b) 1  (c) -1\/7  (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, 0, 25 in ascending order.\nAnswer: 0, 5, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -13 + 14. Calculate the common denominator of (-9*f)\/(-3) - -18 and 89\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {t: 12, a: 1, p: 3}. What is prob of sequence ptt?\nAnswer: 33\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round -40.72515 to two decimal places.\nAnswer: -40.73","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2478)\/708*(-468)\/63*4?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*(1 + (6*(sqrt(11) + -1))**2*2 + 2).\nAnswer: -864*sqrt(11) + 5202","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 887 - 95 = 33*w for w.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = i - 1. Let g(d) = -4. What is -g(b) + 4*p(b)?\nAnswer: 4*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m + 9*m - 22 = 0. Suppose -l - x + 231 = 0, l - 5*x + m*x - 247 = 0. What is the hundreds digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 29343339.\nAnswer: 3, 3260371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -20913309.6562974 + 20873651.6463. Let b = y + 39658. Let x = -0.01 - b. What is x rounded to six decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -21204*a**3*z**3 - 117*a**3*z**2 + 22*a**3 + a*z**3 - 5*z**3 - z**2 + 4*z wrt z?\nAnswer: -127224*a**3 + 6*a - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 495 and 45495?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 22 + -20. Suppose -v*s - 12 = 4*n - 5*n, -8 = -4*n - 2*s. Suppose 698 = -c + 3*c + n*f, 4 = f. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = -87*s**2 - 2. Let h(m) be the third derivative of 0*m**4 + 0 - 1\/30*m**5 + 0*m - 39*m**2 + 0*m**3. What is d(h(k))?\nAnswer: -348*k**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = v**3 - 3*v**2 - 3*v - 3. Let l be f(5). Let c = 10 - 0. Suppose 2 = 5*i + 2*h, i - 5*h - 12 = c. Solve 5*r - 4*p = l, 0 = 5*r + i*p + 4 - 18 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) be the first derivative of 4*q - 2*q**3 - 28 + 1\/4*q**4 + 13\/2*q**2. What is the least common multiple of l(4) and 12?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.144161 times -0.22?\nAnswer: 0.03171542","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is (7*(-165)\/(-140))\/((-20)\/160*-6)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -83\/31562 and -51\/11.\nAnswer: 347182","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = -o**2 - 2*o - 3*o + 6*o + 2*o**2. Let r be i(-1). Determine h so that r + 0*h + 2\/5*h**2 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u = -8*c + 15110, 12*c = 10*c + u + 3776. What are the prime factors of c?\nAnswer: 1889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = -172*w**2 - 902*w**2 - 667*w**2 - 641*w**2 - 1525*w**2. Let z(l) = -l. Give z(q(o)).\nAnswer: 3907*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-2)\/(-6) - (-176)\/(-24)) + -5. Let n be 18\/x*(1 - -6)\/(-42). Factor -1\/2*m**2 + 1\/4 - 1\/4*m + 1\/4*m**4 - n*m**5 + 1\/2*m**3.\nAnswer: -(m - 1)**3*(m + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from gysssys. What is prob of sequence gy?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 615712?\nAnswer: 2, 71, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-495)\/(-27) - 1 - (-2)\/(-6). Let l = 78 + -45. Solve -l = 4*g - y for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o + 4*a = 8, 5*o - 2*a = -6*a + 8. Suppose 18*c - 47 - 25 = o. Let n(g) = g**2 + 1. Let b(j) = 5. Give c*n(h) - b(h).\nAnswer: 4*h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 247068 is divided by 82353?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 723409.3 weeks?\nAnswer: 7291965744","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 65724 at least as big as 65724?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*o + 0*o + 5*o + 5*o - 10*o - 5004*o**2.\nAnswer: -5004*o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**2\/(p\/p**(2\/11))*p*((p\/(p**(-2\/5)*p))\/p)\/p*p*p*p**(-2\/3)\/p)\/(((p*p**(1\/4))\/p*p)**(-49)\/(p*p\/p**(2\/3))**(-3\/11)) assuming p is positive.\nAnswer: p**(40789\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 30 - (7 - (-24 + 12 + 8 + 10)).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = -3*g - 1. Suppose -2*i - 2 = 2*q, -i = -5*q - 15 + 4. Calculate m(i).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 89603775 to the nearest integer?\nAnswer: 9466","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 31720553?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -4408, -31703, -104742, -246397, -479540?\n\"Answer: -3812*c**3 - 611*c + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -144604, -1, -37, -2, -5 in decreasing order.\nAnswer: -1, -2, -5, -37, -144604","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 3543 divided by 1181\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: (100\/30)\/(15\/(-1350)*3)\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 0 + f8?\nAnswer: f8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) be the third derivative of 0 + 0*k + 10*k**2 + 1\/480*k**6 + 0*k**3 - 1\/48*k**4 - 1\/240*k**5. Factor w(c).\nAnswer: c*(c - 2)*(c + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 78a + -5?\nAnswer: 785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 115 + -98. Calculate the highest common factor of o and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:36 PM and 11:56 PM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) be the first derivative of 3*b**6\/5 - b**2 - 11*b - 11. Let p(d) be the first derivative of f(d). Differentiate p(a) wrt a.\nAnswer: 72*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1 and 1283.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -307651344 divided by -7414\nAnswer: 41496","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Work out -8.348 * 86.\nAnswer: -717.928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 166005 and 2046.\nAnswer: 3652110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) be the first derivative of -o**3 - 3*o**2 + 1. Suppose -4*g = -3*s - 11, 0 = 5*g - 47 + 52. Let j(b) = -3*b**2 - 5*b. Determine s*i(f) + 6*j(f).\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((1*sqrt(567) - sqrt(567))*4 - sqrt(567)) + sqrt(567) + (-2*-2*sqrt(567) - sqrt(567)))\/((sqrt(27)\/sqrt(3) + sqrt(9))*-3 - 1*-1*sqrt(9)).\nAnswer: -9*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1279 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 270*i**3 + 273*i**3 + 1387*i**3 + 270*i**3 - 2198*i**3.\nAnswer: 2*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 88568449?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.097 in -754.8, 3, 1\/2, -3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -2504 + 12461\/5. Calculate the common denominator of o and -45\/347.\nAnswer: 1735","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*r + 2*r + 9 = 0. Let x(v) = -v**2 - v + 997. Let s be x(0). Suppose 3*h - 479 = -r*d + 253, 0 = 4*h - 3*d - s. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = 1206*r - 73. Is x(14) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 173.471 rounded to 0 dps?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -4 - -28. Let n(j) = -j**2 + 10*j - 1. Let z be n(7). Let h = k - z. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 18900 and 36?\nAnswer: 18900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is -13\/3 greater than or equal to -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Put together 8 and -0.140152467.\nAnswer: 7.859847533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Add -3219834832 and 3.13.\nAnswer: -3219834828.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = 3*l**3 - 3*l**2 + 5*l - 4. Let b = -6 + 6. Suppose 4*w - 5*t = -4 + 16, -5*t = b. Is m(w) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 62519, 62516, 62511, 62504, 62495, 62484?\n\"Answer: -q**2 + 62520","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 968070 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (2\/(-1))\/((-6)\/(-27)). Let x be (-24)\/i - (-2)\/6. Let h(q) = -q**3 + 4*q**2 - q - 4. Give h(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r = 3*a - 6, 3*r + 8 = 2*a + 2*a. Let t = 4 + r. Factor -8*l**3 - t*l**4 + 2*l - 3*l**2 - 1 + 1 + l**4.\nAnswer: -l*(l + 1)*(l + 2)*(3*l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (7*4\/56)\/(2\/4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-v**2 + 2*v**2 + v**2)*(-3*v - 2*v + 6*v) + v**3 - v**3 - v**3 - 278*v**3 - 8255*v + 8255*v - 2*v**3 - 4*v**3 + 3*v**3.\nAnswer: -280*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = 3*m. Let a(k) = 2915*k - 13 + 13 + 2*k**2 - 1437*k - 1421*k. Determine n(a(w)).\nAnswer: 6*w**2 + 171*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-n**2 + 5*n**2 + 0*n**2)*(-532 + 97 - 594).\nAnswer: -4116*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*q = 9*k - 11*k - 55, 27 = -5*k + q for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 132 = -2*l + 24*l for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:47 PM and 1:25 AM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = 2*g - t - 1, t = 2. Suppose -g*u + 2111 - 245 = 2*k, -1836 = -2*u + 4*k. What is the hundreds digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -46\/2835 and -29\/693?\nAnswer: 31185","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 1263, 21.3, 2\/35?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 0.14 times -0.009\nAnswer: -0.00126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1145222?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 16520229263 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 36\/10 + (-8)\/(-20). Suppose -16 = -2*v + f + 20, -38 = -2*v + 2*f. Let j = v + -13. Solve 2*p - j*p = w for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1090870120?\nAnswer: 2, 5, 1217, 22409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g - 2*g - 897 = 5*d, -2*g = 2. Let b = -137 - d. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many days are there in 2070.56007 seconds?\nAnswer: 0.023964815625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 211273 and 6?\nAnswer: 1267638","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 74, 191, 370, 599, 866, 1159?\nAnswer: 1466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 40.1 + -37. Let r = f - 2.68. Let c = 0.4173 - r. Round c to 3 dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -5 + 3. Let v(s) = 4*s + 2. Let z be v(u). Let k = z + 8. List the prime factors of k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = 2*r + 5. Suppose o - 69 = -4*n, -2*n + 4*n = -4*o + 234. Let y = -13 + o. Calculate the remainder when y is divided by f(5).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in seven halves of a gram?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c = -2*u - 4 - 20, 3*u - 5*c = -20. Let f be (4\/u)\/((-9)\/405). What is the greatest common factor of f and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = -3*w**2 + 11*w + 5. Let k be v(0). Let a(t) = -t**2 + 12*t - 5. Give a(k).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 314620460 and 12320.\nAnswer: 1540","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 241688, 483374, 725060, 966746, 1208432?\nAnswer: 1450118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l + 12 = -c, -l + c = -1 - 3. Suppose 3*y - 2*y = l. Solve y*j + 6 = 3*r, -3*r + 2*r + 4*j + 2 = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -273379, -273414, -273449?\nAnswer: -273484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -133298 and 0.04.\nAnswer: -5331.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 442, 517, 596, 679, 766?\n\"Answer: 2*p**2 + 69*p + 371","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) be the third derivative of -u**5\/210 + 2921*u**4\/42 - 8532241*u**3\/21 + 18*u**2 - 13*u + 2. Factor d(z).\nAnswer: -2*(z - 2921)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-69)\/195 + (-4)\/(-20). Let y = -1.6 - 0.4. What is the smallest value in v, y, 26?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = 781*m + 86. What is i(-3)?\nAnswer: -2257","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 275 - 277. Sort 53, q, -3\/5.\nAnswer: q, -3\/5, 53","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 617*k - 569*k - 432. Calculate the remainder when 547 is divided by k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -21721\/16616 - -35\/536. Find the common denominator of ((-710)\/(-20))\/(1 + -9) and w.\nAnswer: 496","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (437\/(-76))\/(-23) + (-118)\/(-40) + (-90480)\/(-975).\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 7, -5, 0.\nAnswer: -5, 0, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 4 - 19. Let t be (-4 + 5)\/(3\/y). Let b = 8 + -11. Sort 3, b, t.\nAnswer: t, b, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 6 in -0.2, 7, -4\/9?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (15\/(30\/4))\/((-30)\/(-9))?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -y = 4*q + 8, -q + 2*y = 4*q - 3 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -100\/9 + 446\/45. Let d = 12\/5 + r. Find w, given that 4\/5 + 12\/5*w + 1\/5*w**4 + 13\/5*w**2 + d*w**3 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let h = -6 + 10. Let o = 8 - h. Which is bigger: 5 or o?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 88 - 78. Suppose -171 = 8*p - r*p + 3*v, 3*p + 4*v - 231 = 0. Suppose 2*x = p + 15. What are the prime factors of x?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + (sqrt(130) + (sqrt(130) - ((sqrt(130) - 1*(sqrt(130) - (2*sqrt(130) + sqrt(130)))) + sqrt(130))))\/sqrt(10).\nAnswer: -2*sqrt(13) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 10590657a - -5?\nAnswer: 105906584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Convert 41.17042 micrograms to nanograms.\nAnswer: 41170.42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1837, -1002, -167?\nAnswer: 668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z*z**10*z)\/(z\/(z*z\/z**6*z))*z\/(z\/(z\/z**(-13)))*z\/z**(-1\/19)*z assuming z is positive.\nAnswer: z**(457\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 30 - 14 - (0 + 1 - -7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -3*l**6 + 37321*l**4 - 68*l**2 - 25*l + 8.\nAnswer: -360*l**3 + 895704*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v - 3*v + 2 = 0. Suppose 16 = 2*p + v*p. Find q, given that -2 + 2*q**4 - 24*q + 4*q**3 + 1 + p*q**4 - 18*q**2 - 7 = 0.\nAnswer: -1, -2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 89 a factor of 4539?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 240127902 divided by -6\nAnswer: -40021317","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) -2\/11  (b) -1  (c) 61  (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -70606053 rounded to the nearest one hundred thousand?\nAnswer: -70600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -50*y - 64 = -46*y. Let r = 35 + y. Let v(j) = 27*j - 20. Is v(r) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1133 and 4972?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 3403142861?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 499*d**3*o**2 + 17314*d**3*o + 3*d**2*o - 39*d*o**2 - o**2 wrt o?\nAnswer: 998*d**3 - 78*d - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a + 75 = -6*a. Is -15 less than or equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) be the third derivative of -5*m**4\/8 + m**2. Does 6 divide i(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-10)\/(-4)*14\/5. Let b(t) = -t + 9. Let c be b(6). Suppose -16 = c*h - 7*h. Solve 0 = h*u + p - 19 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -305*i**2\/6 + 2095235*i\/6 + 131675.\nAnswer: -5*(i - 6870)*(61*i + 23)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-16)\/(-80) + (-132)\/(-15). Suppose j + 111 = 12*z. Solve 5*n + z = 2*u, n - u - 1 = -0*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 406 minutes after 5:41 PM?\nAnswer: 12:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = 6*l**3 - l**2 - l - 1. Let a be (-1 - 4)\/(-2 + 1). Suppose -a*w + 3 = -h + 2, 4*h + 4 = -2*w. What is g(h)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c - 53 = 4*r, 7 = c - 3*r - 45. What is the remainder when c is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 11 + -8. Let y = i + 1. Suppose 7*c - 10 = -2*p + 3*c, 4*p - 8 = -y*c. Which is smaller: -2 or p?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -520, -2155, -5028, -9259, -14968?\n\"Answer: -20*k**3 - 499*k**2 + 2*k - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-6069)\/3570)\/((-5)\/50)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 23 - 3. Let k = a - 14. Calculate the remainder when k is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3\/4*j + 1\/4*j**2 + 0.\nAnswer: j*(j - 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -1e2454b + -5?\nAnswer: -1e24550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*w = 19 + 5. Let r(k) be the second derivative of k**4\/3 - k**3\/3 + 5*k**2\/2 + k. What is the remainder when r(w) is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) be the second derivative of 33*l**5\/10 - 35*l**2\/2 - 47*l. What is the derivative of g(q) wrt q?\nAnswer: 198*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 14 + -14181?\nAnswer: -14166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is ((2*(-3)\/30)\/(-1))\/(4401\/(-52160)*-16)?\nAnswer: 4\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-1)\/6 + (-3)\/18. Let n = -3 + 1. Let x = -0.07959 + 12.07959. What is the smallest value in x, j, n, 4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be -2 + (15\/6 - 1). Let o = -0.01077 - -5.01077. Put k, 1, o in decreasing order.\nAnswer: o, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = 30 - 4*z - 11 + 21 + 20. Suppose -3*x - h = -0 + 5, 5 = -4*x - h. Let f be a(x). Calculate the highest common divisor of 15 and f.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((l*l**(2\/9)*l)\/(l*l\/l**(3\/7)*l)*((l\/(l*l**(-1)\/l))\/l)**(-45))**(-2\/7))**(3\/7) assuming l is positive.\nAnswer: l**(5714\/1029)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -18, 0, -1, 4, -13.\nAnswer: -18, -13, -1, 0, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 67 + -37. What is the greatest common divisor of c and 210?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 7.9 - 12.\nAnswer: -4.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*o - 2*k - 11 = 0, -4*k = -31669*o + 31668*o + 33 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -0.322 - -0.722. What is the third smallest value in -27, g, -4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 238629035?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 109850 is divided by 54629.\nAnswer: 592","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = -o**3 - 6*o**2 - 6*o - 7. Let s be k(-5). Suppose 4*d = 26 + 10. Let r be (s\/24)\/(d\/24). Which is the closest to 2\/3?  (a) 0.1  (b) -0.1  (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*l - 21 = -2*l - 5*d, 3*l + 21 = 2*d. Let v be (8 + l)\/(-2*2\/(-8)). Is 6 > v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 2.9358 + 0.0642. Which is the nearest to 110?  (a) u  (b) 0.1  (c) 8\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 43 - 41. Solve 0 = -b*r - 3*z + 7, -21 + 7 = -3*r - z for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*i - 1044 = -15*i + 2*w, -3*i + 13484*w - 12 = -3*i + 13480*w for i.\nAnswer: 105","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 34 - -62?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -13, 225, 3?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*f = 6695*l - 6690*l - 35, -5*f = -2*l - 3 for l.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence fxf when three letters picked without replacement from vffvvvfxfvvfvxf.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 28240 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (3*8\/72)\/(((-25)\/(-15))\/(-5)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.01651 to three dps.\nAnswer: 0.017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:19 AM and 5:53 PM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 28891457?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = d**2 - 8*d - 6. Suppose 40 = 5*x - 2*m, 5*x + 3*m - 40 = 4*m. Let t be f(x). Let w be (-3 - -1)*t\/4. Is w bigger than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 61 - 60.99938. Round y to 4 decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = 5*m**3 + 3*m**2 - 4*m - 2. Is 22 a factor of d(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from {j: 4, b: 1, h: 5}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 4757509 and 104963.\nAnswer: 2441","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = -p + 5*p + 1 + 2. Let z(f) = 40*f - 124*f + 72*f - 10. Determine -7*c(a) - 2*z(a).\nAnswer: -4*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 6 + -6 + (-3 - -4) + -1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + ((5 + 4 + 3 + 0 + sqrt(1377))*-3 + 3)**2.\nAnswer: 1782*sqrt(17) + 13486","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find y such that -147*y**2\/4 + 63*y - 27 = 0.\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 35 - 19. Let g be 182 - (1*18\/(-144) + (-98)\/(-16)). What is the greatest common divisor of w and g?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 33.98794 millilitres in litres?\nAnswer: 0.03398794","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Determine d, given that -2*d**4 - 12*d**3 + 78*d**2 + 608*d + 840 = 0.\nAnswer: -6, -5, -2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00087556 rounded to 3 decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -52 - -64. Factor -3 + 10 - 36*w**3 + 8*w - t*w**2 - 7.\nAnswer: -4*w*(3*w - 1)*(3*w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 749281 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = 17*m**2 - 21*m. Let a(q) = 8*q**2 - 10*q. Let s(f) = -13*a(f) + 6*t(f). Determine s(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-66 + 81 - 35) + 96?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -40\/3358109 and -41\/130412.\nAnswer: 13432436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h*h**(-2\/7)\/h)**(-29))**(1\/8) assuming h is positive.\nAnswer: h**(29\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = u + 4. Let r(a) = 3*a + 8. Let q(d) = -2*r(d) + 5*t(d). Let p be q(5). Is 2\/(-2) - p - -7 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = -o**3 + 7*o**2 + 3*o + 3. Suppose 29 = 2*f - 27. Let s be 204\/f + 2\/(-7). Is 13 a factor of x(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:38 AM and 5:51 PM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = l + 21. Let f be h(-6). Is (-82)\/(1 + (-25)\/f) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = -l**3 - 45*l**2 + 89*l - 231. Let d be z(-47). Solve -d*w + 5 = p, -10 - 15 = 5*p - 5*w for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3 + -1561 + 1566 + (0 - 2 - -6)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.08 in 10, 4\/7, -36, -5?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -369862*y**5 + 56*y**4 + 6952490*y**2?\nAnswer: -22191720*y**2 + 1344*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand -19*m + 19*m - 12*m**3 + (-m + m - m**2)*(-m + 0*m - m) + 0*m**2 + 0*m**2 + m**3.\nAnswer: -9*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 7193 divided by -1\nAnswer: -7193","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from kkjjjjqjkjjkk. What is prob of picking 2 k?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4134 is divided by 17?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x = -2 + 8. Suppose -5*z - 30 = 5*r, -4*z - x + 18 = -2*r. Let l = 9 + r. Is l even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 13543 - 13547. What is the nearest to -1\/8 in 1\/12, q, 1, 7?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = 4*z + 1. Let h(n) = 3*n + 16. Let y(b) = -h(b) - 3*p(b). Let r(d) = -7*d - 9. Determine 13*r(i) - 6*y(i).\nAnswer: -i - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 43 is divided by 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -2 - -4. Let n(g) = 5*g + 5. Let b(u) = -3*u - 2. Let s(h) = f*n(h) + 5*b(h). What is the units digit of s(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -34 + 21. Let b be -6*(-2 + s\/(-7)). Factor b*c**3 + 4\/7 - 6\/7*c - 4\/7*c**2.\nAnswer: 2*(c - 1)*(c + 1)*(3*c - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15967 = -1148*o - 1133*o for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 7045 and 394.2?\nAnswer: 2777139","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find d, given that -63 - 73*d**2 + d**3 + 88*d + 55*d - 45 + 37 = 0.\nAnswer: 1, 71","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h = 3, -3*h - 7731 = -18*g + 14*g. What is the lowest common multiple of 1 and g?\nAnswer: 1935","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 2259 and 153?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 2288750\/(-109860) - 22\/(-12)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -22 - -33. Suppose -6*g - 110 = -h*g. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 7\/(21\/(-2))*216\/3. Let f be 93\/21 - c\/(-112). Solve 0 = -3*a + 5*k + 7 + 15, 2*a + f*k = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = -9*x - 9. Let y be i(-11). Calculate the highest common factor of y and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 41 divided by -1?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-334*v + 70 - 70)*(-2*v + 5 - 2*v + 5*v).\nAnswer: -334*v**2 - 1670*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = 48*v - 366. Let z be f(9). Suppose 5*c = b - 6, 5*c + 28 = b + 2*b. Calculate the greatest common factor of b and z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (11\/(-4)*-2)\/(47\/((-5546)\/236))?\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0440194005 to 4 dps.\nAnswer: 0.044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort -20, -8, -1, 2 in decreasing order.\nAnswer: 2, -1, -8, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s + 9*b = 10*b + 6941, 13847 = 2*s + 5*b. Is 12 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -4*l**2\/3 - 289972*l\/3 + 483320 = 0. What is l?\nAnswer: -72498, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -33842644 + 111811402. Let b = d + -77968913.000154. Let c = b + 155. What is c rounded to five decimal places?\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 480 and 1020?\nAnswer: 8160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = -d**3 + d + 15. Let i be m(-3). Let h = 16 - -20. Let u = h + i. List the prime factors of u.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 169452874?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1 - -8) + -7 + -1 + 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9*m - 5197 = 28*m - 5530 for m.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (6 - 6 - 3*u)*(-2 + 3 - 4) + 0*u + 2*u - 4*u + (2*u - u + u)*(0 + 0 + 1) to c*u + h and give c.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -71 - -71. Suppose s*g = -3*g + 711. What is the hundreds digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-r**2 + 0*r**2 + 0*r**2)*(-13*r - 54*r + 5*r) to the form h + o*r**3 + b*r + v*r**2 and give o.\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) be the first derivative of -3*g**4\/20 - g**3\/5 + 3*g**2\/5 - 39. Find x, given that m(x) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 2941\/60 + -161\/3. Let v = 32677 - 129607\/4. Let l = v + -2767\/10. Calculate the common denominator of l and c.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = 116*c. Let a(u) = 65. Let d(l) = -28*l - 1820. Let n(o) = 84*a(o) + 3*d(o). What is n(w(r))?\nAnswer: -9744*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 164111556225 - 0.16?\nAnswer: 164111556224.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -6422949, -6422952, -6422955, -6422958, -6422961?\n\"Answer: -3*n - 6422946","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is -14 smaller than 0.303?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 5\/8 of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 13 - 13.34. Let h = d + 0.44. Which is the third biggest value?  (a) 5  (b) 1  (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((p**(1\/2)\/p)\/p*p)**27)**38 assuming p is positive.\nAnswer: p**(-513)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = o**2 - 10*o + 26. Let b be p(5). Let i be (24 - 58)\/(5\/20). Do i and b have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 60837.03 hours?\nAnswer: 219013308","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-220)\/228 - (53705\/(-1311) + 41).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 m, 1 r, 1 n, and 1 q when four letters picked without replacement from yrynnnmnzrqyrryzyy.\nAnswer: 4\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 11228895 a multiple of 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-6)\/104)\/(-63*(-50)\/25200)?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*-2*sqrt(500))\/((sqrt(3000) - (sqrt(3000) - (sqrt(3000) - (sqrt(3000) + sqrt(3000)*2))))\/sqrt(3)) + -3.\nAnswer: -3 + sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 6.117 - 1.117. Which is the nearest to -0.1?  (a) s  (b) 13  (c) -0.1  (d) 0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 242*p - 211 - 1241 = 0 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find n, given that -n**2 + 5893962*n + 53045739 = 0.\nAnswer: -9, 5893971","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((a\/(a*a*a**(-2)))**16*(a\/(a*a\/a**(2\/31)))\/a**(-3\/2))**42)**24 assuming a is positive.\nAnswer: a**(517608\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) -3  (b) -2  (c) -132  (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {t: 2, g: 3, i: 6, l: 1}. What is prob of picking 1 t and 2 g?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 1699 plus 3697?\nAnswer: 5396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -50*f - 234 - 910 + 344 for f.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*c - 56106*r + 18 = -56104*r, 3*c + 3*r - 18 = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 2272 - 27293\/12. Let m = 13\/6 + l. What is the closest to -0.1 in 0.3, 3\/8, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ddddedddodd. Give prob of picking 1 o and 3 d.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 18\/(-39)*(10*6\/300)\/((-10)\/(-25))\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) be the third derivative of 2*u**7\/35 - u**6\/24 + u**5\/60 + 25*u**3\/3 + u**2 + 57. What is the third derivative of o(r) wrt r?\nAnswer: 288*r - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 718 is divided by 56.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*q - 32 = -48 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-20061550)\/(-450) + 4\/(-18) - (-5 - 0)?\nAnswer: 2, 3, 2477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 2349127 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16*n - r - 24 = 21*n, 3*r - 24 = n. Let w(s) = 4*s**3 - 4*s**2 + 11*s. Let j(g) = 3*g**3 - 3*g**2 + 11*g. What is n*j(a) + 5*w(a)?\nAnswer: 2*a**3 - 2*a**2 - 11*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -27117 - 19169 - 17920 = 522*b for b.\nAnswer: -123","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:55 PM and 5:42 PM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is -25\/21141108 >= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 204713959 is divided by 1469?\nAnswer: 1464","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) be the first derivative of z**4\/4 + 4*z**3\/3 - 2*z**2 - 7*z + 1. Let d = 109 - 114. What is q(d)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*u = -5*i - 90, -4*i - 2*u - 40 = 2*u. Let r be 3\/(-18) - i\/18. Find n such that 1\/3*n**3 + r - 1\/3*n - 2\/3*n**2 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1149425?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Add -0.4 and 111.625.\nAnswer: 111.225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = 3*k**2 + 73*k + 269. What is w(-19)?\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -42257*z**3 + 34875*z**3 + 259850*z**3.\nAnswer: 252468*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 98\/(-96)*1 + (-65)\/390. Is f smaller than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -1.1923828 to two decimal places.\nAnswer: -1.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) be the second derivative of 170*m**3\/3 - 19*m**2 - 27*m + 1. Find the first derivative of k(q) wrt q.\nAnswer: 340","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -91\/58?  (a) 1\/9  (b) 8\/5  (c) 1\/120  (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 13 - 13 + 24922180*i**2.\nAnswer: 24922180*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 0 (base 15) to base 7\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = -z - 5. Let h be s(-8). What is the derivative of 3*x - x + 1 - 2*x - h*x**3 wrt x?\nAnswer: -9*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 7\/649567915 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 371 minutes before 2:51 PM?\nAnswer: 8:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.7 and -356995?\nAnswer: -249896.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 80922428 is divided by 20?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Divide -324233 by 49.\nAnswer: -6617","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 97339587?\nAnswer: 3, 73, 444473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-2)\/7*7\/(-3). Suppose -4 + 10 = 2*m. Let t be (-2)\/(-1)*m\/6. Which is the closest to -1?  (a) t  (b) -4  (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -1.453 - 3.286. What is z rounded to one decimal place?\nAnswer: -4.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 73 = 2*w - 117. Let a = 88 - w. Let h be 141\/(-18) + a\/42. Sort -2, h, 2 in descending order.\nAnswer: 2, -2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u*u*u*(u*u**6)\/u)\/(u**(-1\/2)*u)*(u*u**(2\/11))\/(u**(-1)*u))\/(u*(u*(u*((u**9*u)\/u)\/u)\/u)\/u*u*u*u\/(u\/(u**(-11)*u)))**(-5\/11) assuming u is positive.\nAnswer: u**(223\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 41231.\nAnswer: 41231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -10559200 divided by 1970.\nAnswer: -5360","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express 3*k**4 - k**4 - 14 + 48*k**2 + 36 - 16 in the form o + s*k + z*k**2 + r*k**3 + p*k**4 and give z.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zb when two letters picked without replacement from zbhhffwv.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = z**2 - 52*z - 1921. Determine h(77).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -104 divided by -55\nAnswer: 104\/55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 89 a factor of 352728?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = -2*a. Let w(l) = -l**2 - 11*l - 8. Let k be w(-10). Let j = -1 + 4. Let h(p) = -j*p + 4*p - k*p. What is t(h(f))?\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (1 + 14\/(-4))*-2. Solve -4*y + 2*r - 12 = -2*r, -j*r = 5*y - 5 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -69, 1 in decreasing order.\nAnswer: 3, 1, -69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (2\/(-6))\/(-5 + 370\/75). Suppose -103 = t*z - 18. Let s(w) = w**2 + 19*w + 37. Let f be s(z). Solve 2*p = u + f, -2*u - 3 = 3*p - 4*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {p: 10}. What is prob of sequence pppp?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 14 a factor of 681011044?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is (-11 + 9 - (6 + -7)) + 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 37310696 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 2\/(-2 - 16\/(-6)). Suppose -5*h = -2*h + 4*m + 2, 0 = j*h + 5*m + 4. What are the prime factors of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -28*n - 17 = -33*n + p, 0 = 3*n - 4*p for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 450587 is divided by 17.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = 3*a**3 - 5*a**2 - 227*a - 5. Let j(w) = w**3 - w**2 - 1. What is -5*j(k) + m(k)?\nAnswer: -2*k**3 - 227*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (6\/15)\/(2\/30). Let n(f) = -5 + 4*f - w*f + 4 - f**3 + 4*f**2. Let o be n(3). Solve -5*c = -o*m - m - 7, -3*c - 15 = 3*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1 + 3 - (425 - 395)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = 2*j + 12. Let r be x(-5). Solve r*w = s, -2*s = -2*w + 2*s + 12 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) be the third derivative of -n**4\/8 + 2*n**2. Let b(i) = i. What is b(j(c))?\nAnswer: -3*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = -m**3 + 4*m**2 - 9*m. Calculate s(3).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 24737 a multiple of 91?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((1 - 1 - 2*d)*(3 + 2 - 6) - 7*d - 27 + 27)*(-d**2 + 0*d**2 + 1075*d**3 - 1076*d**3 + 3*d).\nAnswer: 5*d**4 + 5*d**3 - 15*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 21001 + 3131112?\nAnswer: 3212113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h = -4 + 8. Suppose -h*k - 9 = -5*k. Suppose -c - k = -0*c, 0 = -5*z + 2*c + 466. Is 30 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*((1 + sqrt(19))*-6*-2 + sqrt(475) + sqrt(475) + -3 + sqrt(475) + -4)**2.\nAnswer: 540*sqrt(19) + 27752","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5919 is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -118 - -46. Let k = d + 72.1. Which is the second biggest value?  (a) k  (b) -1  (c) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 52335893 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = -11*q**3 + 121*q**2 + 22*q - 161. Calculate i(11).\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o be -525 - 8\/(-10 + 2). Let w = -518 - o. Solve 2 = -k + w for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -116875.805 and -612?\nAnswer: 116263.805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c be -8 - -7 - -4*(-2)\/(-10). Let u = 29 + -32. Suppose -5*o - 19 = -0*o - w, o = -w - 5. Sort o, c, u in decreasing order.\nAnswer: c, u, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 6*o**2 - 8*o - 26*o**2 - 1 + 12*o - 5*o + o**3 to c*o**2 + s*o + x*o**3 + j and give c.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 t when three letters picked without replacement from aatmatmaaamaatmmt.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Work out -12610.9 + -163312.6.\nAnswer: -175923.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Round 6902000 to the nearest 1000000.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.1*-0.08.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y*y\/(((y\/(y\/(y*y*y**(-2\/35))))\/y)\/y)*y**(1\/5)*y)\/(y**(-20)*y**12\/y) assuming y is positive.\nAnswer: y**(429\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -43674 * -4\nAnswer: 174696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = -2*k, -x - 2 = x + 5*k. Suppose x*s = 4*p + 16, 2*s = -3*s + 25. What is the highest common divisor of 4 and p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (0 + 1 + 2)*(2*b**2 - 11*b + 11*b) in the form h*b + q*b**2 + d and give q.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2*r**5 + 9349*r**4 + 33*r**2 + 2893419*r wrt r?\nAnswer: 40*r**3 + 112188*r**2 + 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 455 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-126)\/4*10\/(-15). Suppose 3*g = -0*g - t. Let s(i) = -i + 7. Calculate the smallest common multiple of s(g) and 8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence eaa when three letters picked without replacement from eeawaaaaawawwwwxaa.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*q - 20 = q, 3*q + 9 = 2*b. What is the highest common divisor of 66 and b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((v*v*v**(-7\/5)*v*v)\/(v\/v**(-2\/5))*(v*v\/((v*v*v*(v\/v**(8\/5))\/v*v*v*v)\/v)*v)\/v**(-7))**(3\/13))**(-35) assuming v is positive.\nAnswer: v**(-63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = -129*y + 4247. Calculate j(33).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:18 PM and 2:27 AM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = -b + 12. Let r be 0\/((-16)\/(-56) - (-18)\/(-14)). Suppose r = 5*f + 14 - 54. Is y(f) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2175050 a multiple of 1061?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b\/b**0)**(-27)*(b*b\/b**(3\/2))**8)**(-21) assuming b is positive.\nAnswer: b**483","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i**(-5)\/i*i)\/(i*(i*i**(2\/33))\/i))**(2\/5) assuming i is positive.\nAnswer: i**(-80\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 651038144?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -14372*y**4 - 349*y**3 - 133989283*y**2.\nAnswer: -344928*y - 2094","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = -4*y**2 - 2*y + 1. Give q(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 2733 divided by 2662?\nAnswer: 2733\/2662","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2934.\nAnswer: 2, 3, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = 4*i. Let p(f) = 46*f**2 - 5*f - 3. Let x(d) = 69*d**2 - 8*d - 5. Let m(v) = 8*p(v) - 5*x(v). What is r(m(j))?\nAnswer: 92*j**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -534*z = 808*z + 866*z + 99360 for z.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1597 is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 32*q = 61 + 259. What is the greatest common divisor of q and 430?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 22 divide 221122?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*j - 37892*j**3 - 37837*j**3 - 2*j - 2*j**2 + 75760*j**3.\nAnswer: 31*j**3 - 2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 90526333 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h = -4*q + 7 - 29, -5*q = 3*h + 11. Suppose 0 = -h*b - 3*l + 18, 3*b = -2*l + 1 + 13. Solve 5*n - b*n = -15 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 2\/6 - (-49)\/(-21). Let i(d) = -d**2 - 7*d - 5. Let w be i(f). Suppose q - 16 = w*h, 2*q - 5*h - 23 = -1. Is 4 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -38 or -36005?\nAnswer: -36005","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 greater than -664?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a*a*a\/(a*a**(-1))*a**(3\/13))\/(a**(-3\/10)*a**(-2)))**(-36) assuming a is positive.\nAnswer: a**(-12942\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-1)\/(-2) + (-50)\/8. Let j be -10 - 16\/((-480)\/150). Which is greater: w or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -26282576 to the nearest one million.\nAnswer: -26000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -t - 9 = x + t, -6*x - x = -13*t + 9 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -8*j + 3*j + 95. Suppose 0 = -0*u + 3*u + 9, 0 = -5*k - u + 47. Calculate the remainder when j is divided by k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -2 + 18. Suppose -5*g + x + 8 = -p, 12 = 4*g + x. Solve -3*q = q - g for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 156 - 4*v + 175 + 181 - 735 + 169.\nAnswer: -4*v - 54","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 691 minutes after 1:08 PM?\nAnswer: 12:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 443 minutes after 8:53 AM?\nAnswer: 4:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Put together -45915422819342 and -0.1.\nAnswer: -45915422819342.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 95304 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence wsy when three letters picked without replacement from wsswsdysywsssttss?\nAnswer: 9\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 254254 + 44?\nAnswer: 254342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 0.02, 0, -3, 89?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*o - 25 = -o. Suppose r + o*f = f + 22, r = -5*f + 26. What is the units digit of 8 - (-1)\/((-3)\/r)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 7 + 4)*(-5 + 5 + 1)*(0*i + 5*i - 7*i).\nAnswer: 4*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1685052 is divided by 133.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in 29\/3 of a week?\nAnswer: 1624","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 4, 6, -9, 1 in decreasing order.\nAnswer: 6, 4, 1, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2476*l**2*y**2 - l**2*y + 2*y**2 + 372 wrt l.\nAnswer: -4952*l*y**2 - 2*l*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 2591121401 - 1.1\nAnswer: 2591121399.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 1\/4 of a meter?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (5\/22)\/(13560\/11187).\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 a factor of 296363160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 22512?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = -9*n. Let b = -7 + 2. Let p(o) = 6*o**2 - 5*o. Let q(l) = 7*l**2 - 6*l. Let a(x) = b*q(x) + 6*p(x). Calculate a(u(c)).\nAnswer: 81*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 0, 1\/399, 2?\nAnswer: 1\/399","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*a - b + 6 = -165, 2*b = -2*a + 78. Let o = -51 + a. Let x = o + 18. Is x a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 11319?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 278360954 to the nearest integer?\nAnswer: 16684","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = -3*b + 34. Give z(10).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 0 times 429\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y + 2 = -y. Let v(w) = -w**3 + 2*w**2 - 5. Let n be v(0). Which is the closest to y?  (a) 0.2  (b) -2\/9  (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = y + 5*r - 13, 4*y - r + 14 = r. What is the units digit of ((-215)\/25)\/(y\/10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 238  (b) 4  (c) 45\/14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 64\/17865 and -19\/2?\nAnswer: 35730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*x - 3*x + 3*x**3)*(-x - 3 + 3)*(26*x - 3 + 3).\nAnswer: -78*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -0.16*-12.3018\nAnswer: 1.968288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 123 - 28. Is 31 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 32 + 2245?\nAnswer: 2277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5882*s - 592636 = -2952*s - 2952*s. List the prime factors of s.\nAnswer: 2, 13469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = v**3 + 11*v**2 + 5*v - 9. List the prime factors of z(-10).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1470)\/(-31605) + (-170)\/(-43) + (-8)\/1 - -57?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Determine t so that -14*t**3 + 0*t - 12*t**2 + 0 - 2\/3*t**5 - 16\/3*t**4 = 0.\nAnswer: -3, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -285139*d**2 + 3*d + 1019621 wrt d.\nAnswer: -570278*d + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (s + 0*s + 0*s)*(-1 - 1 + 0) + 2567*s + 271*s - 513*s - 649*s + 2905*s.\nAnswer: 4579*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 23259 or 24955?\nAnswer: 23259","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (33 - 33 + 27*j)*(2 - 1 + 0)*(-2*j + 1 + 0*j + j).\nAnswer: -27*j**2 + 27*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/8 of a meter in millimeters?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round 3.961701273 to 4 dps.\nAnswer: 3.9617","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -334 - -377. Let w(q) = -54*q + 4. Let x be w(-3). Suppose x = z - m. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -o + 0*o + 28 = -4*k, 0 = -8*o + 4*o for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = 2. Let t(w) = w - 3. Let y(b) = 2*t(b) + 5*u(b). Let f(z) = 4*z. Give f(y(r)).\nAnswer: 8*r + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 185.31 rounded to the nearest ten?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0818 to 3 decimal places.\nAnswer: 0.082","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 3\/(-8)*(-464)\/1305. Let f = -4.9 - -5.2. What is the third biggest value in -5, w, 5, f?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -17043 - -153385\/9. What is the fourth smallest value in -0.02, 3, -5, g, -4?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -10011101001 (base 2) to base 9.\nAnswer: -1646","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 23 + 2 + (-50 - -14).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k - 23 = 1. Let i be 99\/6 + (-3)\/2. Let r = i + k. What are the prime factors of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 0  (b) -0.82  (c) -2\/7  (d) 0.02  (e) -2  (f) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 8394 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 4 + -4. Let r = 0.4 - u. Let m = r - 0.3999995. Round m to seven decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 5 or 1920\/419?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -6777 (base 9) to base 10\nAnswer: -5011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (7\/((-28)\/40))\/1. Let r be (2\/3)\/(l\/(-6)). Let k = 0.1 - 1.1. Which is the biggest value?  (a) -3\/2  (b) r  (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -17364, -41608, -65850, -90090, -114328?\n\"Answer: h**2 - 24247*h + 6882","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/5?  (a) 0.1  (b) 5\/3  (c) 103  (d) 0.4  (e) -41.68  (f) 6\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the billions digit of 2589328326?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -132 = -21*j - 3*p - 93, 65 = -j + 5*p for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*w**3\/3 - 88*w**2 - 1646*w\/3 - 460.\nAnswer: 2*(w - 138)*(w + 1)*(w + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort -796, 5, 43, -43.\nAnswer: -796, -43, 5, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = -9*q**2 - 5*q + 7. Let d(a) = a - 1. Let i(o) = 5*d(o) + w(o). What is the first derivative of i(f) wrt f?\nAnswer: -18*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -8 divided by -30315\nAnswer: 8\/30315","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -139879*f**3 - 139891*f**3 + 419646*f**3 - 139882*f**3.\nAnswer: -6*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o - 5*i - 58 + 2 = 0, 3*i - 31 = -2*o. Calculate the remainder when 10*((-26)\/(-5) + -2) is divided by o.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify h**(-20)*h*h**5\/h*(h*h**(-7))**32 assuming h is positive.\nAnswer: h**(-207)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = -2418*q + 2346. Let j be l(-2). What is the highest common factor of j and 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 105171.\nAnswer: 3, 11, 3187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6 + 193*s - 354*s + 174*s)*(0 - 2 + 3).\nAnswer: 13*s + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 343 + -341. Which is the nearest to o?  (a) -1  (b) 3  (c) 15\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = 26*n**3 - 2*n**2 - 23*n + 7. Let s(h) = 5*h**3 - 2*h**2 - h + 1. Let b(t) = -p(t) + 5*s(t). Give b(-10).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.0443 + -0.047. Round x to three dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 0 - -1100001001011010?\nAnswer: 1100001001011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -12 + (52 - 34) + (-11 - (1 + 1)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*m - 3*r + 1297 = 0, -2*r - 1630 = -5*m + 3*r. What are the prime factors of m?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-58)\/(-261)*3420\/(-40).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z - 3*c = -32293, 6*z + 3*c = 5*z + 6461. Suppose -3*r = -3*b + r + z, -3*r = 5*b - 10715. What is b rounded to the nearest 100?\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millennia are there in 3805.35 years?\nAnswer: 3.80535","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 47 - 25. Let n be 266\/(-6) + 2\/6. Calculate the remainder when 22 is divided by (-4)\/l - 360\/n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1.086 + -0.93. Let x = 1.104 + i. What is x rounded to one dp?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 2\/7308279 and -53\/594?\nAnswer: 14616558","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find d, given that d**4 + 515*d**3\/9 + 9023*d**2\/9 + 35765*d\/9 - 67712\/3 = 0.\nAnswer: -23, -128\/9, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Add -1 and 6204144151.7.\nAnswer: 6204144150.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1885173 is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (10 - (3 - 2)) + -5 - -59. Let h = 46 + u. What are the prime factors of h?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*z - 1800 = -2*z. What is the greatest common factor of z and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-23)\/(575\/(-210))*2*14\/((-308)\/55)\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -44702, -89379, -134034, -178667, -223278, -267867, -312434?\n\"Answer: 11*f**2 - 44710*f - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 divided by 77256113.\nAnswer: -4\/77256113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 677, 1495, 2371, 3311, 4321?\nAnswer: 5407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j + 406 = 6*j. Suppose -2*r = -149 - 141. What is the highest common divisor of j and r?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**(-6\/5)*h**4*h*h**(1\/2)*h**(-3\/4))\/((h**(-2\/7)*h\/h**(-2))\/(h*h**(-3\/7)\/h*h**(-6)*h)) assuming h is positive.\nAnswer: h**(-643\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 3573129661920 take away -1?\nAnswer: 3573129661921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9*b - 2*d - 16 = 0, -b + 7*d = -24*d + 33 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -36, -34, -32, -30?\n\"Answer: 2*t - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: (-439)\/(-450) + -1 - (-17)\/(612\/(-2))\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.23*122.\nAnswer: 28.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:58 PM and 12:08 AM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = 2*p + 2. Suppose 4*g = 2*c + 1 + 37, -3*g + 3*c = -36. Calculate the lowest common multiple of -4 + 4 + 0 + p and g.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 598315?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 352 and 692207648.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 10379.439 months to decades.\nAnswer: 86.495325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*f**5 - 6*f**5 + 2*f**5 + (-f**4 - f**3 + f**3)*(73*f + 74*f - 11*f).\nAnswer: -138*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1.6, 46, -0.01, -20.\nAnswer: -20, -0.01, 1.6, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -19*r + 10*r + 3*r + 14 + 4 wrt r?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify c**(2\/11)\/c**9*(c**(6\/5)*c*c*c)**24 assuming c is positive.\nAnswer: c**(5059\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -13.3288 and -5.\nAnswer: 66.644","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.7, 1\/4, -0.13, -852 in increasing order.\nAnswer: -852, -0.7, -0.13, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = -5*o**2 - 12*o - 45. Let v(s) = -2*s**2 - 6*s - 22. Let k(n) = -3*l(n) + 7*v(n). What is the remainder when 47 is divided by k(9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0 divided by 208301633\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 2849  (b) -3429  (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*w - 5*w + 0*w)*(2*w - w - 3*w)*(370*w**2 - 340*w**2 + 294*w**2).\nAnswer: 1296*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*((sqrt(1728) - sqrt(1728)*1)\/(1*sqrt(216)) + (sqrt(726)*-2)\/(sqrt(33)\/(sqrt(11) + (sqrt(11) - -1*sqrt(11))) + sqrt(3))))**2.\nAnswer: 2178","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -3 + 6. Let r be c\/12*2*2. Suppose 3*n = 0, 0*m + 5*n + r = m. Calculate the remainder when m is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 27 + -19. What is the lowest common multiple of v and -1 - -38 - ((-148)\/50 - 118\/2950)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0.3 - 0.4. Let y be (-15)\/(-270) - (-2)\/12. Let g(o) = -o**3 + 9*o**2 - 25*o + 80. Let n be g(7). Which is the smallest value?  (a) z  (b) n  (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 55482840 a multiple of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -264 divided by -4?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = 8*l + 19. Calculate the remainder when r(5) is divided by -3 - -21 - (0 - 6\/(-3)).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2658.5 times 5.4\nAnswer: 14355.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 0*-5*(-1)\/20?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*f + 76 = -8. Suppose f*b - 10*b = 0. Suppose b*t + 336 = 12*t. Calculate the remainder when 110 is divided by t.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p + 240 = 2*i - 4*i, 4*p = 4*i - 480. Calculate the common denominator of (-36)\/p*2\/(-6) and 107\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w = k + 4, -2*w - 3*k = -k + 6. Let q = w - -4. Suppose 8 - 83 = -q*x. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0\/(-7) + -1 - (792\/(-393) + 1)?\nAnswer: 2\/131","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -5773, -5802, -5825, -5836, -5829?\nAnswer: -5798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 408 minutes before 4:43 AM?\nAnswer: 9:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*t + 3*x - 5808, 198 + 2129 = 2*t + 5*x. Suppose -180 = v + 2*p, 5*v + t - 256 = -5*p. Let b = -103 - v. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-1013)\/2495 - (-1 + (-24)\/(-40)). Let j = r + 20973\/2495. Find the common denominator of j and 48\/31.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (1 - 6\/9)\/1. Let k(a) be the first derivative of 2\/9*a**3 - 2\/3*a + 2 + 1\/6*a**4 - m*a**2. Solve k(g) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 384137?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 273109 and 152216.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*(2*sqrt(13))**2 + sqrt(13) + (sqrt(13) + 0)*-3 - (sqrt(325) + (sqrt(325)*-4)**2 + 3).\nAnswer: -5255 - 7*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-3)\/(-6))\/((-3)\/(-6462)) - 4. Let p = x - 761. What is the highest common divisor of p and 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16 = 4*j, -5*n - 3*j + 12 = 4. Suppose -i + 6*i = -n*g + 15677, 4*g - 3129 = -i. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 15 - (-13 + 34) - -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = d + 21. Let s be m(-12). Suppose -s = -4*n - 25. What are the prime factors of (178 - 0) + n\/2?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 11 (base 7) in base 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1013 in -161, 0, 25.3?\nAnswer: -161","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = -n**3 + 5*n**2 + n + 1. Let v be a(5). Let w(l) = l**3 - 17*l**2 + 68*l - 19. Let b be w(11). Solve v*o = b*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -50823602\/21 + 2421321. Let n = b + -1149. Is n at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.62736*-24\nAnswer: -15.05664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Round -495768.9 to the nearest 100000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 5\/(40\/(-22))*8. Let l be (-6)\/(1 - x\/(-16)). Suppose 3*s - l = -s, -s = 2*i - 4. Solve i = 3*z - z + 8 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -9 + 9.2. Let j = -0.2 - 0.8. Let w = -6 - j. What is the nearest to 0 in 4, z, w?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*t = 3*x + 8, t + 6 = 2*x + 12 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 q and 1 k when two letters picked without replacement from {y: 3, o: 5, k: 3, b: 3, q: 2}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 1\/3 - 413\/(-3). Let q = r + -93. Let l = q + -25. Solve -2*j - 3*j = -l for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 3*(6\/(-9))\/(-1). Suppose -4*m - 4*v = -16, -5*v - 2 = -c*m - 1. Suppose 0 + 10 = 5*i. Solve -i*l = -m*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = 2*a. Let d(y) = -10466*y**2. Give r(d(k)).\nAnswer: -20932*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:46 AM and 12:14 PM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 69665072161 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = -19*o + 0*o + 78*o. Let x(j) = 1269*j. Let z(w) = 108*n(w) - 5*x(w). Let c(f) = 2*f. Calculate z(c(a)).\nAnswer: 54*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = -15*q**2 + 4779*q + 9554. What is n(-2)?\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = d**3 - 2*d**2 - 3*d - 2. Let a be g(4). Let z be (-2)\/4*(2 + -3 + 1). Suppose 3*x + 0 - a = z. Solve h - 4 + x = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (19 + 5*y**2 - 19)*(9*y**2 - y**2 + 0*y**2) + 2*y + 5*y**4 - 2*y.\nAnswer: 45*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.5, 5, -3\/2, -1912 in descending order.\nAnswer: 5, 0.5, -3\/2, -1912","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d = -4*m + 492, -2*d + m = 2*m - 249. Calculate the highest common factor of d and 84.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -273.43 - 0.57. Let p = v - -274.1. What is the second biggest value in -0.02, p, 2\/9?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 40.54+-453\nAnswer: -412.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.01942 rounded to 4 decimal places?\nAnswer: -0.0194","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 3617269 divided by 3617269\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1010010101011 - 1011110001?\nAnswer: -1011110011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = -k**2 - 7*k - 4. Let o be x(-6). Find the second derivative of 2*i**o + 3*i**2 - 3*i + 7*i wrt i.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*c - 32 = -4*c. Let j = 2 + -1. Let g = j + c. Sort -1, g, 4 in decreasing order.\nAnswer: g, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 13 divide 1695?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 192214.\nAnswer: 2, 11, 8737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 3849\/19 or 204?\nAnswer: 204","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 3405929801 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 84*z**3 + 422?\nAnswer: 252*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 36 - 22 = 7*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*b = 3*x - 22, -2*x + 1 + 5 = -b. Suppose 577 + 83 = x*l. Suppose d = -4*d + l. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*b - 18 = -b + 4*c, 21 = 3*b - c. Suppose -14*s - b = -12*s. Let f be s\/((-30)\/(-11504)) + (-2)\/(-5). Round f to the nearest one hundred.\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 807*j*w**3 + 612*j*w + w**2 wrt w?\nAnswer: 4842*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 26 + (-5)\/(-1) + -4. Let p be 8\/(-36) - (-87)\/h. List the prime factors of (p*27\/(-3))\/(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 7\/8 of a century?\nAnswer: 1050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = v**3 + 3*v**2 - 3*v - 1. Let k be u(-3). What is the second derivative of 176*y**2 + k - y - 103*y**2 - 110*y**2 wrt y?\nAnswer: -74","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r = -4*r. Let m be (-2)\/4*(5 + -13). Let a = m - r. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = 7*i**2 - 30*i + 18. Let b(m) = 11*m**2 - 46*m + 27. Let w(x) = -5*b(x) + 8*y(x). Factor w(v).\nAnswer: (v - 9)*(v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 79\/800 and (2\/3*18\/(-108))\/((-15)\/(-63)).\nAnswer: 2400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*d - 10 - 2 = -2*z, 5*z = 5*d - 40. Suppose 56562886 = d*b + 11362886. Round b to the nearest one million.\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -30*8\/160*(3\/((-15)\/(-20)))\/315.\nAnswer: -2\/105","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q + 2*h + 6 - 15 = 0, 3*h - 12 = 0. What is the lowest common multiple of 6 and q\/2*(32\/8 - -44)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1\/(1*-10))\/((-58)\/(-1044)*-18).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 163 + -183. What is the tens digit of y + 24 + (-1 - -644)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*i = -5*z + 5, 5*i - 4*i - 3*z = -10. Calculate the highest common factor of 90 and i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**(-18)\/p*p**30)**(-26) assuming p is positive.\nAnswer: p**(-286)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from qiqjqqiqqjiiiii. Give prob of picking 2 j, 1 q, and 1 i.\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 107442?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Are -208493591 and -208493595 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-24)\/(-10))\/(21\/70). Suppose -6*s + 3*s - 5*q + 2 = 0, -5*q = 2*s - z. Let d be (s\/5)\/((-3)\/75). What is the highest common factor of d and 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) be the second derivative of 1\/12*n**4 + 9*n + 0 - 1\/6*n**3 + 1\/2*n**2. What is i(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from vggooeoofgeoe. Give prob of sequence gg.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 216467 + -45?\nAnswer: 216422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round 475366577 to the nearest one hundred thousand.\nAnswer: 475400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*j = -5*r + 30, 9*j - 10*j = -5*r. Is r > -8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -9 take away 0.4963416?\nAnswer: -9.4963416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 1 and -14.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 10 + -14. Which is the second biggest value?  (a) 5  (b) s  (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 288724 to the power of 1\/2, to the nearest integer?\nAnswer: 537","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -30 = -5*v - 5*f, 0*v = -3*v + f + 14. Let y = -2 - -2.2. Let q = -1.6 + -0.4. What is the second smallest value in y, q, v?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*u - 3821 + 471. Let a = u - -1138. What is the highest common factor of 36 and a?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4111 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p + 464 = -576. Suppose -33 = -3*f + j - 21, -4*j + 22 = 2*f. Suppose -f*g = -5*v - 435, -3*g = -5*v + 3*v - p. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -7 - (4 + -1 + -5).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-242)\/(-6))\/((-3)\/9). Suppose -486 = -5*f + 5*b + 384, -f + 156 = 5*b. Let h = f + z. What are the prime factors of h?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 0.025  (b) -7\/159  (c) 9\/7  (d) 2  (e) -8\/17\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 5344 + -5349. What is the nearest to 15.88 in s, -3, 1\/4, -1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 97851 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -4  (b) 1\/12  (c) 2\/31\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -96916 + 140012. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1452830 rounded to the nearest 100000?\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 1108151 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 983 times -2463\nAnswer: -2421129","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y - 2*z + 80 = 0, 47 = 3*y - 3*z - 31. Solve 2*p - m - y = -5*m, 5*p = 2*m + 19 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -704 = -5*f + f. What is the greatest common factor of f and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -86\/1997895 and -59\/173730?\nAnswer: 3995790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) be the first derivative of p**5 + 25*p**2\/2 - 22. Find the second derivative of z(w) wrt w.\nAnswer: 60*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = -2*a**2 - 57*a - 48. Determine i(-27).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 510454087?\nAnswer: 11, 13, 17, 209977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -84 - -118. Suppose 3*w - z = -f, -w + 0*w + z - 14 = 0. Is 11 a factor of -5*11*4\/w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -1.8 - -4.8. Let j = -2.99999982 + u. Round j to seven decimal places.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-6)\/((-90)\/(-5))*15?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 70 + 4 + -10 + -6?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from zgtgzjgzzzglzlz. Give prob of picking 1 l and 1 g.\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) = -12*p**2 + 464*p - 885. Determine y(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 212 + 62160?\nAnswer: 62402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 79.71179 litres in millilitres?\nAnswer: 79711.79","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 divided by 10444?\nAnswer: 1\/10444","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 28 + -11 - (-27 - -78).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4 + 40011*z**3 - 4 - 40017*z**3.\nAnswer: -6*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -24 - 22. Let r(w) = -11*w + 5. Let b be r(8). Let i = h - b. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 19078585 is divided by 102?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 1027206458 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -o + 100 = 7*g, 0 = -3*o - 2908*g + 2903*g + 60 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 5*((-6)\/(-1))\/(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h**1)**(9\/4))**(1\/2) assuming h is positive.\nAnswer: h**(9\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-51)\/(-5)*(13 + ((-88)\/(-66))\/((-7)\/70)).\nAnswer: -17\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*sqrt(245) + (sqrt(45) - (-1*sqrt(45) + sqrt(45)))**2.\nAnswer: 7*sqrt(5) + 45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -x - 7 + 4. Let n(a) = -3. Let p(v) = 1. Let o(h) = x*n(h) - 8*p(h). Let z(q) = q - 8. Let m(u) = 3*o(u) - z(u). What is m(0)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 200 + -33231213?\nAnswer: -33231013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {b: 6, l: 4}. Give prob of picking 4 l.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -16 + 125\/8. Sort g, 4, -5 in descending order.\nAnswer: 4, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -15449, -25273, -29471, -28043, -20989?\n\"Answer: 2813*h**2 - 18263*h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 22*m - 13658 + 2262. What is the remainder when 1691 is divided by m?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3 + j + 3 + (-j - j + 0*j)*(5 - 5 + 1) + 105*j + 24011 - 24011 - 3 - 2*j + 0*j + 1.\nAnswer: 102*j - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 998200 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -29\/2464 and 137\/109243848.\nAnswer: 4806729312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*b + 5 + 25. Calculate the smallest common multiple of 18 and b.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) be the first derivative of -1\/5*c**5 + 0*c**2 - 1\/3*c**3 + 12 - 1\/2*c**4 + 0*c. Factor o(a).\nAnswer: -a**2*(a + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -7 in -0.12, 3\/4, -26, 3056, 2\/9?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -28, -97, -164, -229?\nAnswer: -292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 867723*q**4 + 298*q**2 - 2*q + 159 wrt q?\nAnswer: 20825352*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*m**5 - 10*m**4 + 5*m**3 + 10*m**2 = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 2\/2153 >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*a + 2*a + 2*a)*(-9*a + 7 - 7).\nAnswer: -18*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 18 - -1. Let v(h) = -4*h + 1. Let x(c) = -c**3 + c**2 + 2*c - 1. Let z be x(2). Calculate the remainder when u is divided by v(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = -2*j + 1. Let n be c(1). Let a = n - -5. Calculate the remainder when 5 is divided by a.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -376 + 404 - (-4 + 20 - -4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 97\/(3*(-1)\/(-6)). Let d = v + -132. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) be the third derivative of -l**7\/280 + l**6\/120 + l**5\/20 - 8*l**3\/3 + 4*l**2 + 4. Let u(v) be the first derivative of f(v). Factor u(s).\nAnswer: -3*s*(s - 2)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) be the third derivative of 1\/42*j**7 + 1\/4*j**5 + 46*j**2 + 0*j - 1\/8*j**6 + 0 + 0*j**3 - 5\/24*j**4. Factor i(p).\nAnswer: 5*p*(p - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.524 minus 9545680940?\nAnswer: -9545680941.524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 23010 - -303?\nAnswer: 23313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000073704 to five decimal places.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*sqrt(152)*2*-2)\/(-2*((sqrt(88)*3)\/sqrt(11) - sqrt(8))) + 5.\nAnswer: -5*sqrt(19) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) -1  (b) -19  (c) -0.34\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (30\/(-4))\/(1\/(-6)). Does 21 divide (38\/3 - 0)\/(6\/x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2\/(-53) + 79704\/(-11448))*4\/574.\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j = 4*m + 16, 6*m = 2*m - 4*j + 16. Solve m = -b + 6*b - 20 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -10*q + 18 + 2. Suppose 6*f + q*f = 400. What is the smallest common multiple of f and 145?\nAnswer: 1450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) be the first derivative of 2 - 13*h - 7*h**3 - 1 + 3*h**3 - 3*h - 26*h**2. Find z, given that u(z) = 0.\nAnswer: -4, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 485 a factor of 180152280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 50904700.\nAnswer: 2, 5, 7, 11, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*n - 3*n - 2*n)*(33 + 27*n - 33).\nAnswer: -27*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -6 times -14.33\nAnswer: 85.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let 57*i**3 + 522*i**2 + 528*i = 0. What is i?\nAnswer: -8, -22\/19, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:55 PM and 4:48 PM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 10 + (-30)\/(-12)*-4. What is y in 2*y**2 - 4\/3*y + c - 10\/3*y**5 - 2*y**4 + 14\/3*y**3 = 0?\nAnswer: -1, 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 36991 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6149284?\nAnswer: 2, 31, 101, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -29 - -27. What is the remainder when 1 + 2 + r + 42 is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = p**2 + 7*p - 13. Let r be c(-9). Solve -8*z - 25 = -3*z + 5*s, 0 = z + r*s + 21 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14*n - 5*k = 2, 5*n + 10*k + 31 = 12 - 31 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:38 AM and 1:33 PM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3*s + 3*s - 3*s)*(-3*s + 217 - 27 + 16) as d*s**2 + m + u*s and give u.\nAnswer: -618","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -49*o + 55*o + 42 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -24 (base 6) in base 8?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -340294 - -81670757\/240. Let b = h + -21\/20. What is the common denominator of b and 79\/28?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*y + 5*j = -34, -4*y + 22*j + 6 = -7*y + 57 for y.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 205321 a multiple of 79?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -9 in -3, 3, -556\/7, -0.1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 11 (base 7) in base 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 8 a factor of (64\/6)\/((-6)\/(-18))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4030 (base 6) in base 12?\nAnswer: -616","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m = 7*m - 8. Does 0 = m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = y**3 - 39*y**2 + 14*y + 197. What are the prime factors of g(39)?\nAnswer: 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:14 PM and 10:09 PM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 4*(-2)\/(-12)*3. Suppose 2*j = 4*c - 3*c, m*c = 2*j. Let u be j\/((3 + -2)*3). Solve 3*k - 4*l + 2 = u, l + 3 = -2*k + 2*l for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -1.67  (b) -6231\/10  (c) -2  (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/2?  (a) 4\/5  (b) -0.4  (c) 50\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m + 3*f = 1063, 5*m = -4*f - 126 + 2787. Suppose 6*k - 1697 = -m. What are the prime factors of k\/1 - (-24)\/6?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 + 2 - -2 - 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.07 + 0.17. Let l = -8 - -6. Which is the nearest to n?  (a) -0.2  (b) -2\/17  (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t = -w + 130480, -3*w + 49*t + 391444 = 48*t. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = -28*m**2 - 3801*m + 64470. Calculate v(-151).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*l**2 - 4465920*l = 0.\nAnswer: 0, 1488640","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 divided by -315?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -1, -4, -5, -7 in increasing order.\nAnswer: -7, -5, -4, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = 132*v**2 + 35*v - 370. List the prime factors of w(9).\nAnswer: 11, 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 893, 759, 535, 221, -183?\n\"Answer: -45*m**2 + m + 937","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -31\/52962 and 26\/10767.\nAnswer: 1959594","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -429*b + 9633 = 312*b for b.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h + 250720 = -125417. Let y = 11379 - h. What is y rounded to the nearest 10000?\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2.6529 rounded to two decimal places?\nAnswer: -2.65","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1251514 and 7965925?\nAnswer: 3839","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n = -3, 0 = 3*r - 2*r - n + 6. Let k = -0.147 - -0.047. What is the nearest to k in -0.1, -0.2, r?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine o, given that -3*o**3\/2 - 1455*o**2\/2 + 55377*o - 54648 = 0.\nAnswer: -552, 1, 66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = 37*l**2 + 20*l + 31. Let w(x) = 7*x**2 + 4*x + 6. Let u = -12 - -14. Let a(f) = u*n(f) - 11*w(f). Give a(-3).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 9*l**2 - l**4 - l**3 + 2*l - 31*l**2 - 26*l**2 + (-1 + 1 + 2*l**2)*(-3*l**2 + l**2 + 3*l**2).\nAnswer: l**4 - l**3 - 48*l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -281219, -281208, -281197, -281186?\n\"Answer: 11*s - 281230","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*o = 11*o + 108397 - 108243 for o.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2746\/711209 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = -a + 397. Let j(v) = 5*v + 317. Calculate j(w(f)).\nAnswer: -5*f + 2302","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 241473712 to the nearest integer?\nAnswer: 15539","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -259, -283, -323, -379?\nAnswer: -451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 252 is divided by 227?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) be the second derivative of v**5\/100 + v**4\/30 + v**3\/30 - 8*v. Suppose b(q) = 0. What is q?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 27\/4 of a litre in millilitres?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 106*o - 101*o + 2*t = 25156, -4*o = -5*t - 20072. What is the hundreds digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -20.424 - -20.924. Sort -213\/7, -2\/15, w, -0.4, -5 in descending order.\nAnswer: w, -2\/15, -0.4, -5, -213\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 33\/25351 and 48\/1865.\nAnswer: 47279615","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 19051\/2184 - 398\/39. What is the common denominator of 127\/1752 and z?\nAnswer: 12264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 1602b + 5b9b?\nAnswer: 1bbc9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round 312.16561 to the nearest ten.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 40, 35, 26, 13, -4?\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 3*p**3*s**2*x + 902620*p**3*s**2 - 22*p**2*s**2*x - 2*p**2*s**2 + 2*p*s**2*x - s**2*x + 5*s**2 wrt p?\nAnswer: 18*s**2*x + 5415720*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.586 + -0.086. What is the closest to 5 in g, -2, 1\/9?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 10069500 and 4500?\nAnswer: 30208500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -66 (base 13) in base 4?\nAnswer: -1110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 13\/4 and 57\/34.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 476 = 3*g + 32. Suppose -45 = 12*u - 22 + 841. Let x = g - u. Is 11 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s - 31 = -3. Let f be ((-3)\/1)\/(-8 - s). Solve p = 5*j - j + 23, f*p + 5*j + 16 = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1482848 times 0.2?\nAnswer: 296569.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -215 + -315. Let i = j + 355. Let q = -110 - i. What are the prime factors of q?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 558\/(123 + -141) + 12900\/416.\nAnswer: 1\/104","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 3960 and 2280.\nAnswer: 75240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -32*i - 31*i + 1 = -58*i + 3*a, 4*a = 4*i - 20 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) be the second derivative of 0*m**5 - 1\/3*m**6 + 0*m**2 + 0 + 0*m**4 + 8*m - 7\/6*m**3. What is the second derivative of b(g) wrt g?\nAnswer: -120*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 492 and 1826902272.\nAnswer: 492","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) be the third derivative of 0*v**3 - v**5 + 59\/24*v**4 + 0*v + 2 - 6*v**2. Find the second derivative of n(t) wrt t.\nAnswer: -120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p - 117 = -b + 1136, -4*p = -b + 1267. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = -351*q**3 - 10*q**2 + 2*q - 4. Let g(w) = 701*w**3 + 22*w**2 - 4*w + 9. Calculate -4*g(z) - 9*m(z).\nAnswer: 355*z**3 + 2*z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-455 - -438) + (0 - -18) + 3 + -2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from hthllttlltttt. Give prob of picking 2 t and 1 h.\nAnswer: 21\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 61, -1, -219, 1, 4, 195 in increasing order.\nAnswer: -219, -3, -1, 1, 4, 61, 195","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 7 + 0 - (30 + -27).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = g**2 - 10*g - 1704. Calculate j(41).\nAnswer: -433","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h + 129 = 3*c + 6*h, c - 55 = 3*h. What is the greatest common factor of 115 and c?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence vwvw when four letters picked without replacement from vwvwvvvwvwwwvwwvvwvv?\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, -3, -1832678 in descending order.\nAnswer: -3, -5, -1832678","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((-4)\/65)\/(20\/(-50)). Sort q, -3\/2, -9 in ascending order.\nAnswer: -9, -3\/2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*a + 85 = 5*a. Suppose -2*t + a = -3. Suppose -4*x + 3*b = -0*b - 19, -x + t = b. What are the prime factors of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -228 + 222. Which is the third biggest value?  (a) -1  (b) -20  (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*(sqrt(190) - (sqrt(190) - (sqrt(190)*-2 + sqrt(190)) - sqrt(190))))\/(sqrt(640)*2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) = 55*b**2 - 20. Let r(k) = -8*k**2 + 3. Determine -3*n(f) - 20*r(f).\nAnswer: -5*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*v - 10 = -2*v. Let l**5 + 2*l**3 + 4*l**4 - 2*l**v + 3*l**5 = 0. What is l?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w = -d + 5, 0 = -4*w - 0*w - 4. Suppose 0 = d*v + v - 6. Let a(q) = -2*q + v*q + 2*q**2 + 0*q**2. Let j(t) = -2*t + 6. What is j(a(c))?\nAnswer: -4*c**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 254 a factor of 232918?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/25 of a millennium in months?\nAnswer: 1440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -2.56798 to three decimal places.\nAnswer: -2.568","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -39, -157, -353, -627, -979, -1409, -1917?\nAnswer: -2503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 58\/1682 + (-16632)\/(-406).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = 2*y - 22. Let u be s(9). Let g be u\/12*(-30)\/55. What is the second smallest value in 1, g, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -2 - -2021040?\nAnswer: 2021034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = -3*a**2 + 3*a - 4. Let v(u) = 12*u**2 - 13*u + 17. What is 9*d(t) + 2*v(t)?\nAnswer: -3*t**2 + t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/5?  (a) -2\/11  (b) 56  (c) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8558*i**2 + 8562*i**2 - 17138*i**2.\nAnswer: -18*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 0, 1, -0.5, -1\/5, 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) be the third derivative of o**5\/24 - 145*o**4\/48 - 25*o**3\/2 - 16*o**2 - 2. Factor l(k).\nAnswer: 5*(k - 30)*(k + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 15664 and 186010?\nAnswer: 1488080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y - 23*r - 52 = -95, 3*y - 5*r + 20 = 0. Sort -1, 5, 11, 3, y in decreasing order.\nAnswer: 11, 5, 3, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -15, -14, -20, -2 in descending order.\nAnswer: -2, -14, -15, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from kcccccxxgcxxcxcxc. Give prob of sequence gx.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 30528?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -0.8675 and 0.0721505?\nAnswer: 0.9396505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*a + 2*p - 636 = -594, 0*p = -26*a + p - 21 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is (4326\/(-412))\/((-2)\/(-4)*1)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*j - j + 0*j)*(1 - 1 + 3)*(3 + 7 - 3).\nAnswer: -21*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -0.5  (b) -2  (c) 1789\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 80133 is divided by 156.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 105 and 8023179?\nAnswer: 280811265","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 735*i + 2208?\nAnswer: 735","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = -9*n + 3*n. Let l be (9\/54)\/(n\/(-9)). Which is the nearest to -2\/11?  (a) l  (b) 4  (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) be the first derivative of -v**3\/3 + 15*v**2\/2 + 16*v + 1. Let i be a(11). Suppose 0 = -y + 3*f + i, 2*f + 10 = -0*f. Does 18 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 4184*c**4 - 39*c**3 + 1210562*c.\nAnswer: 50208*c**2 - 234*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -0.2*-34649\nAnswer: 6929.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + (-5*(-5 + (sqrt(108) - (sqrt(108) + (sqrt(108) + 0 + sqrt(108) + sqrt(108))*1))))**2 + 2 + -1.\nAnswer: 4500*sqrt(3) + 24926","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -266311991*c**3 - 475391*c + 102?\nAnswer: -1597871946*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 4359323263 to the power of 1\/2, to the nearest integer?\nAnswer: 66025","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Round 293.324583 to the nearest 10.\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -314a (base 16) in base 8?\nAnswer: -30512","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2 + sqrt(245)*2 + 4*2*sqrt(245))**2 + (-2 + sqrt(245) + -2 - (sqrt(245) - (5 + 2 + sqrt(245))))**2.\nAnswer: -238*sqrt(5) + 24758","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express -372 - 2985*b + 738 - 367 - 233*b + 668*b as z + c*b and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.16 + -0.06. Let o = 0.3 - 0.2. Let c = o + -0.3. What is the closest to y in -3, -0.5, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -305858 (base 11) to base 8\nAnswer: -1676527","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*d**2 + 2899 - 1447 - 1088*d - 1447 + 6*d**2.\nAnswer: 4*d**2 - 1088*d + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = j - 7 + 6. Sort 10, 2, j in decreasing order.\nAnswer: 10, 2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -11348 (base 12) to base 15.\nAnswer: -6c02","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m = 2*s - 151, 0 = -0*s + 3*s + 5*m - 194. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 360276 or 360312?\nAnswer: 360276","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sum 368.1 and -7399336681.\nAnswer: -7399336312.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence az when two letters picked without replacement from {w: 2, v: 1, a: 2, o: 1, z: 2}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -202*u**2 - 18*u**2 - 39*u**2 + (4*u - 3*u + 0*u)*(2*u + 2*u - 3*u) to x*u**2 + l + s*u and give x.\nAnswer: -258","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 2\/19, -2\/13, -0.2, 4, 0.07?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -31*s = -35*s + 112. What is the highest common divisor of s and 154?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 2083 to the nearest one thousand.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = -q. Let s(p) = 21514*p + 9. Calculate s(m(u)).\nAnswer: -21514*u + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (8*t**3 + 0*t**3 - 2*t**3)*(3 - 1 + 7)*(3 - 2 + 0).\nAnswer: 54*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -81a (base 13) in base 8?\nAnswer: -2537","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -9362 - -9362.04. Which is the fifth smallest value?  (a) 0.3  (b) -84  (c) r  (d) 4  (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -61 divided by 3.\nAnswer: -61\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -207360 divided by -15?\nAnswer: 13824","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 169 and 1?\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 72 and 279?\nAnswer: 2232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round 123870000 to the nearest 1000000.\nAnswer: 124000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 260619 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: Factor -5*f**2 - 1575470*f - 124105286045.\nAnswer: -5*(f + 157547)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*x**4 - 10*x**2 + 10*x**3 - 11 + 10 + 4*x + x + x**5 = 0. What is x?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*b = r + 16, -95*r + 35 = -3*b - 90*r for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = 5*i - 3. Suppose -10*v + 11*v = -5. Let j(s) = s**2 + 5*s + 9. Let l be j(v). Suppose -l*o + 20 = 2. Calculate h(o).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -5 by -64178.\nAnswer: 5\/64178","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 q and 1 n when two letters picked without replacement from qqnqqqqqqqqqqnqqqqqq?\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in -0.7, -17\/5, 0.1, 4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*(sqrt(99) + sqrt(99)*2) + (sqrt(99) + 1*sqrt(99))*2)\/(-6*sqrt(900)*-1).\nAnswer: 19*sqrt(11)\/60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -1, -7968, -46, -4.\nAnswer: -7968, -46, -4, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.4113 + 13.764.\nAnswer: 13.3527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i\/(i*i*(i**(-3\/4)*i)\/i*i))**(-17\/6) assuming i is positive.\nAnswer: i**(85\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 352 and -68.\nAnswer: -23936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 645724 is divided by 30745?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2*v**5 - 739677*v**4 + v**2 - 76*v - 944.\nAnswer: 120*v**2 - 17752248*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**(2\/35)\/(t*t**(-11)))\/((t*t\/t**(-18))\/t**2) assuming t is positive.\nAnswer: t**(-278\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 45788711 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -106 - -71. Let g = 37 + v. Suppose 5*i - 4*t - 24 = -0*i, g*t - 10 = -3*i. Which is the smallest value?  (a) i  (b) 0  (c) 0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -43086 and -437.\nAnswer: 18828582","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.030623 rounded to three decimal places?\nAnswer: 0.031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.8 + 0.9. Let b(x) = -2*x**3 - 61*x**2 - 29*x + 35. Let p be b(-30). What is the biggest value in 2\/13, t, -5\/4, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = 679*b - 40457. Give p(60).\nAnswer: 283","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round -6176619.686 to the nearest 1000000.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1 + 0 + 30*y - 23*y - 6 + 5.\nAnswer: 7*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {z: 1, b: 3, a: 2, q: 1, e: 3}. What is prob of sequence qb?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i*i\/(i**(-2\/17)\/i*i)*i*i**(-8)*(i**(-1))**(-16\/5))\/(((i*i\/(i\/i**(2\/7))*i)\/i)\/(i\/(i\/i**(-12))))**(3\/8) assuming i is positive.\nAnswer: i**(-31723\/4760)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -51 - 81 = -2*s. Suppose 9*j - s = -21. Solve j*h + 7 = 12 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence tttg when four letters picked without replacement from {b: 2, y: 2, g: 1, t: 6}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 3251327 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-10087)\/(-2520) - (0 - -4). Let t(w) be the third derivative of 0*w**3 - w**2 - u*w**6 - 1\/180*w**5 + 1\/630*w**7 + 1\/72*w**4 + 0 + 0*w. Factor t(s).\nAnswer: s*(s - 1)**2*(s + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*d = 538*i - 552*i + 182, 2*d = -2*i + 26. Suppose -5*k + 212 - 27 = 0. What is the remainder when k is divided by i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -153912 divided by 19239?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-29)\/(-2) - (-20)\/(-40). Let i = 385 + -259. What is the greatest common divisor of k and i?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00001504 rounded to six decimal places?\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) be the second derivative of 0*i**3 + 28\/5*i**5 + 1\/6*i**4 + 67*i - 23\/2*i**2 + 0. Find the third derivative of n(s) wrt s.\nAnswer: 672","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-5*(((sqrt(99)*5 - sqrt(99)) + sqrt(99) - sqrt(99)) + sqrt(99)))\/((sqrt(180)\/sqrt(4))\/sqrt(5)))**2.\nAnswer: 6875","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 491 to the power of 1\/4, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 12564 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (m + m + 0*m)*(2*m - 130 + 130) + (-1 + 2*m + 1)*(-1 + 2*m + 1) + 2*m - 2*m**2 - 2*m.\nAnswer: 6*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*h = -4*p + 18 - 4, -2*h - 3*p + 14 = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*p**2 - p**2 + 2*p**2)*(0*p + 0*p - p)*(-1 - 2 + 1)*(-3*p - 5*p - 9*p).\nAnswer: -34*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 1\/(5\/25) - 124\/4. Let a(h) = -h - 13. Let m be a(j). Let t(y) = y**3 - 12*y**2 - 13*y - 6. Calculate t(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -0.0095 or -7194?\nAnswer: -7194","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**9*f*f**(-2\/19))**(-22) assuming f is positive.\nAnswer: f**(-4136\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 11\/2 of a microgram?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 91 and 5167137066?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -58*m**5 - 851165*m**4 + 94*m - 303030.\nAnswer: -1160*m**3 - 10213980*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -57334138*f**2 + 26469184 wrt f.\nAnswer: -114668276*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -d**2 + 4 - 742*d - 1880699*d**3 - 4 + 1880684*d**3 to the form b*d**2 + i*d**3 + h*d + f and give i.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0487247413 to four decimal places.\nAnswer: -0.0487","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d + 11*y = 13*y + 22, d - 6 = -2*y. Suppose -17*c + 108 = -d*c. What is the greatest common factor of c and 558?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 2*i + 0)*(-36*i**2 + 0*i**2 + 16*i**2).\nAnswer: 40*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 531089 is divided by 70.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -23406 (base 8) to base 3\nAnswer: -111201000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in 74\/3 of a week?\nAnswer: 4144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Total of -3 and 534.81.\nAnswer: 531.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*i + 49 - 21. Let n = -3 - i. Suppose -n*z + 147 = -0*z - 5*d, 0 = -5*z + 2*d + 188. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -14782, -12514, -10242, -7966, -5686, -3402, -1114?\nAnswer: 1178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -95318 (base 14) in base 5?\nAnswer: -43010244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -4800*g**4*w**2 + 2*g*w**2 + g*w + 2631*w wrt g.\nAnswer: -57600*g**2*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 14*f**5 - 62*f**2 + 101*f**2 - 48*f**2 wrt f.\nAnswer: 840*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -140 + 3?\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2)\/1 + 7 - 112\/21?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-40)\/(-110))\/(22\/(-33))?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-104)\/(-10) + 8\/(-20). Suppose 0 = -o - 0 - 2. Let b = z + o. Calculate the least common multiple of b and 2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from pqppvqgpvgvpepgqcpp. Give prob of picking 1 c and 1 v.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (17\/(1972\/(-24)))\/((-311)\/9019)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) be the first derivative of 2*f**5\/35 - f**4\/14 - 2*f**3\/21 + f**2\/7 + 10. Factor k(i).\nAnswer: 2*i*(i - 1)**2*(i + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -48 + -5 + 37 - (3 + -1)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 6.8 - 2.2. Let j = -4.8 + v. Which is bigger: 3 or j?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 123310300 a multiple of 131?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort 974, 2, 83, -3, 3\/8, 4, 1\/5.\nAnswer: -3, 1\/5, 3\/8, 2, 4, 83, 974","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 302304547?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 219 and 429630.\nAnswer: 31362990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1389914128?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = -5*k - 10 - 5 + 20 - 2 + 2*k**2. Let m be o(1). Let y be 2 + -1 + 1 + 1. Solve m = y*n + 3 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m - 4*d + 18 = 0, 1 = -4*m + d + 4. Suppose 4*i - 89 = -3*f, -4*f - m*i + 119 = 3*i. Suppose 26*q - f*q = -10195. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-420 - -419)*(0 - -2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*t**4 - 4*t**2 + 2 + 149521*t + 8*t**4 + 49*t**3 - 149520*t to d*t + p + f*t**2 + m*t**3 + q*t**4 and give m.\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -18*b + 43*b = -150 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 11 times 3.5229\nAnswer: 38.7519","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 1  (b) -0.22  (c) 28  (d) 0  (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*s**3\/11 + 132734*s**2\/11 + 2162951312*s\/11 - 1311151813920\/11.\nAnswer: 2*(s - 585)*(s + 33476)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -16 - -19. Is (7 + (2 - 1))*6 + c a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-40*q + 18*q - 42*q)*(q + 2*q - 4*q)*(q**3 - 2*q**2 + 2*q**2).\nAnswer: 64*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*u + 5*u + 4. Let k(i) = -12*i + 1. Let p be k(u). Suppose p + 5 = 3*s. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 15\/38 + 2\/19. Let r = -112 - -109. Which is the closest to -0.1?  (a) r  (b) p  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -93\/20672 and 73\/476?\nAnswer: 144704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5c5007 (base 16) to base 3.\nAnswer: 102101100202122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = 428136*p + 856267. What is x(-2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -3 in 3, -11, 0.5, 2\/3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -c**3 + 4*c**2 + 4*c**3 - 4*c**2 - 20*c - 10*c**2 + 19*c to k*c**3 + m*c**2 + g*c + x and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.23149s in microseconds?\nAnswer: 231490","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = v**3 - v**2 - 5*v + 3. Let i be x(3). Suppose -3*w = u + 5, 2*u - 14 = -0*w + 2*w. Let j = i + w. Solve 3*a = -j, -a = 2*s + a - 8 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + (sqrt(27)*-4*2)**2.\nAnswer: 1727","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o*o\/((o*o*o*o**(-3\/5))\/o)*o)**(-4\/13))**(8\/17)*o**2*o\/((o**(-5)\/o)\/o)*o*o**1*o**5 assuming o is positive.\nAnswer: o**(18529\/1105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Convert -11625313 (base 7) to base 10.\nAnswer: -1048708","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -101101010100011 + -1100111000?\nAnswer: -101110111011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"}
{"text":"Question: Solve -43495 + 43560 = -5*j + 4*n, 5*n - 52 = 4*j for j.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Express t**3 + 116*t + 103*t - 6400 + 6400 - 4*t**2 + 52*t in the form w + g*t + z*t**2 + f*t**3 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 18766350202 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, -3, 10, -4817, 5, 19, -2 in ascending order.\nAnswer: -4817, -3, -2, -1, 5, 10, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 331875290 divided by 6922\nAnswer: 47945","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 23893 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 246 - 244. Let d(l) = -32 + 46 - 17*l**b - 15. Give d(-1).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = 146*i**2 + 5*i + 10. Let h(v) = -1972*v**2 - 68*v - 136. Give -5*h(z) - 68*y(z).\nAnswer: -68*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) -64.27  (b) 2\/7  (c) 0  (d) -2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1275*a = -49457 + 17582 for a.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) be the second derivative of f**5\/30 + 23*f**4\/18 + 43*f**3\/9 + 7*f**2 - 39*f. Factor y(o).\nAnswer: 2*(o + 1)**2*(o + 21)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 6\/5387 or 0?\nAnswer: 6\/5387","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 180 - 178 - (-5)\/(-3). Let u(n) be the second derivative of 0 - 3*n - 1\/2*n**3 - w*n**4 + 5\/2*n**2 + 1\/20*n**5. Calculate u(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 593 minutes before 5:45 AM?\nAnswer: 7:52 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = -s**3 - 22*s**2 + 22*s + 23. Let p be x(-23). Suppose p*b + 124 = 77*b. Solve 2*o - 1 = -n, 2*n + 3 + 19 = b*o for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {e: 3, u: 5, f: 5, r: 1, v: 1}. What is prob of sequence vuf?\nAnswer: 5\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (2\/(-6))\/((-2)\/12). Suppose -z*f = f. Solve -1 = -f*o + o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -1, 1.01, 0.1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 382815097 - 100234176 = -104*i - 59932679. Round i to the nearest one hundred thousand.\nAnswer: -3300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify b**(-2\/3)*b**(-2\/19)*b*((b\/b**(2\/17))\/b)\/((b*b**(-6)*b)\/b) assuming b is positive.\nAnswer: b**(4952\/969)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -1759*g*v**4 + 1310*g*v**3 + 45657*g*v**2 - 17*g*v wrt v.\nAnswer: -42216*g*v + 7860*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 4 + 9. Let a = q + -13. Solve a = n + 5*g + 23 + 7, 5*n - 5*g = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (759\/6831)\/(1\/108).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"}
{"text":"Question: (-27 - 13 - (33 + -13)) + 12\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 2 - -51d97?\nAnswer: 51d99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(280)\/sqrt(5)*5)\/(sqrt(16)\/(2*sqrt(2))))**2.\nAnswer: 700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = -o**2 - o - 2. Let n be a(0). Let l = n - 0. Let v(m) = m**3 + 3*m**2 + m - 2. What is v(l)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:26 PM and 8:35 PM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -553229, -553258, -553303, -553370, -553465, -553594, -553763?\n\"Answer: -l**3 - 2*l**2 - 16*l - 553210","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -v = -6*v + 3*u - 22, -2*u = -5*v - 18 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 1777466909 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -34, -130, -290, -514, -802?\nAnswer: -1154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 890 = 284*q - 1673 - 1981. Let t(i) be the first derivative of 1\/3*i**3 + q + 3\/2*i**2 - 6*i. What is t(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -1, -0.2, -2\/5, 4\/17?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 192\/155 - 26\/31. Put a, -22, 4 in decreasing order.\nAnswer: 4, a, -22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = -k**2 - 12*k + 13. Let r be u(-7). Calculate the greatest common divisor of 168 and r.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8370686 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = 2*y**3 - 7*y**2 + 6*y. What is f(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 5313 divided by -3?\nAnswer: -1771","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 606049 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 6485 or 4742?\nAnswer: 4742","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = n - 2*j - 4 + 5, -2*n - 2*j + 10 = 0. Suppose -3*m + n*u - 21 = -6*m, 5*m = u + 65. Let q = 16 - m. Solve -2*l = 2*a - 6, -q*l - a + 5*a = 20 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from {m: 1, i: 2, c: 1, k: 2, y: 1, q: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:16 PM and 1:22 AM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.21581 * -2.77.\nAnswer: -0.5977937","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*x + 951 = 78. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 52 and 5865548.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = -g**3 + 31*g**2 - 227*g - 89. Let l be r(13). Solve l*t + 2*y + 26 = 8, 0 = 4*y + 20 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 24 divide (-1)\/(9\/(-21) - (-464)\/1148)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = -l**3 - 5*l**2 + 2*l + 5. Suppose -4*g - m = 104, 113 = -5*g - m + 4*m. Let u = 26 + g. Suppose -c - 4 = u. Give b(c).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 55*t**2 - 26*t**2 + 15*t**2 - 8*t**2 - 23*t**2 - 9*t**2.\nAnswer: 4*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1072016 and 132?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 1 - 3 - (-36 + 29)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*f - f**3 + 9*f + 20*f + 0*f**3.\nAnswer: -f**3 + 29*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 309443 to the power of 1\/2, to the nearest integer?\nAnswer: 556","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 k and 2 c when three letters picked without replacement from ikkc?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2790749788?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = 7920*q + 2570. Let r(y) = 283*y + 92. Let n(s) = -170*r(s) + 6*x(s). What is the first derivative of n(i) wrt i?\nAnswer: -590","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -2 - 3381*i + 3463*i + 1 as o*i + j and give o.\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 202 minutes before 2:49 AM?\nAnswer: 11:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 3\/4  (b) -4\/13  (c) -0.09  (d) 36  (e) 2\/11  (f) 2\/9  (g) 3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 23 - -9 - (-6)\/(0 + 6) and 27?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n + 4*n = 3*f + 15, n - 5*f - 13 = 0. Let l(j) = 8*j**3 + 2*j**2 + 13*j - 14. Let p be l(1). Calculate the highest common factor of n and p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (t**2 + t**2 + 3*t**2)*(-7*t**2 - 9*t**2 + 4*t**2).\nAnswer: -60*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 192 + -188. What is the third derivative of 67*m**2 - f*m**3 + 3*m**3 + 13*m**3 + 26*m**3 wrt m?\nAnswer: 228","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 13771, 27589, 41429, 55297, 69199, 83141?\nAnswer: 97129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2\/(-3))\/(480\/(-270)).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor g**2 + 270073*g - 1080308.\nAnswer: (g - 4)*(g + 270077)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or -7\/16855?\nAnswer: -7\/16855","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sum -10.1 and 2484.16.\nAnswer: 2474.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ol when two letters picked without replacement from lotwooltwtotob?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*r**2\/11 + 2019638*r\/11 - 102996336\/11.\nAnswer: -2*(r - 1009768)*(r - 51)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = 2 + 3 + 1 - n - 1. Let w be a(-4). Suppose 5*d - 26 = w. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 476527 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = -5*p**2 + 92. Let i(k) = k**2. Determine i(t(u)).\nAnswer: 25*u**4 - 920*u**2 + 8464","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 132 minutes after 4:06 PM?\nAnswer: 6:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 4 + 1)*(g + 0*g + 0*g) + (-5*g + 4*g + 9*g + (2 + 3 - 6)*(4*g - g - g))*(-2 - 1 + 5) + 6*g - 8*g - 6*g + (-4 + 5 - 2)*(-1 + 2*g + 1).\nAnswer: 6*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -5  (b) 3\/1511  (c) -2.94\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 67*i**3 - 117557*i**2 - 53935662*i?\nAnswer: 402*i - 235114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -796*s = -349*s - 367*s - 1840 for s.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -8, -5, -0.05, -2\/9 in decreasing order.\nAnswer: -0.05, -2\/9, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, -91, -6.821, 0.5, -4 in increasing order.\nAnswer: -91, -6.821, -4, -1, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1019 or 1020?\nAnswer: 1019","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 w and 2 i when three letters picked without replacement from wcicwciiiicic.\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 2, -7, -2.6133, 1\/3?\nAnswer: -2.6133","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence khby when four letters picked without replacement from {y: 1, e: 1, v: 1, b: 2, k: 1, h: 1}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Product of -1.05 and -2.\nAnswer: 2.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = -43*t**2 + 10*t + 28. Let s be o(-9). Let g = 53113\/15 + s. What is the common denominator of g and 13\/20?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2623 divided by 43?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -173\/90 and -13\/50?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g = -g - 4*q + 178, 3*g - 154 = 2*q. Suppose -51*y + 1274 = -44*y. Calculate the remainder when g is divided by (6\/1)\/(39\/y).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 2 - 2)*(-6*l + 6*l - 2*l**3) + (0*l**2 + 2*l**2 + 0*l**2)*(-4*l + 3*l - l) + 4*l**3 - 4*l**3 - 3*l**3 - 3*l**3 - 4*l + 4*l.\nAnswer: -4*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 17 is divided by (-2)\/(-4) - 34\/(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 112747898*i**3 + 2*i**2 - 24*i - 2179275.\nAnswer: 676487388*i + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 80, 95, 110, 125, 140, 155?\n\"Answer: 15*n + 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 182.4 less than 196500?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = -o**2 - 15*o - 49. Let k be r(-11). Suppose -4*f + 42 = 5*v, -v + 2*f = -0*f. Let s be (-6)\/4*8\/6. Sort s, v, k in increasing order.\nAnswer: k, s, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (-3 + 0)*19586\/(-42) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -14, -4, 0, -27, -2 in decreasing order.\nAnswer: 0, -2, -4, -14, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 7278219?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 4 + (-1)\/(2 + -3). Let d(f) = -u*f + 3*f + 6*f. Let w(j) = -2*j**2. Give w(d(q)).\nAnswer: -32*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -13 + 6. Let o = 5.8 + v. Let u = -732 - -729. What is the nearest to -0.2 in 5, o, u?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 135529 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 590*a**2 - 6729*a**2 - 4912*a**2.\nAnswer: -11051*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*l + 4 = 3*l. Let h = l - -7. Calculate the greatest common divisor of 2 and h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -43 + 30 - (-9 + 0).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -94*u + 87*u + 609 = 0. Solve -26*w - u = -217 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:53 AM and 8:32 PM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = t**3 + t + 1. Suppose -2*a = 3*p - 25, 0*p + 5*p = 3*a + 10. Let b(f) = p + 0*f**3 + 6*f**3 + 3*f**3 + 5*f. Determine b(o) - 5*k(o).\nAnswer: 4*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 26b - -1?\nAnswer: 26c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 30191, 30180, 30165, 30146?\n\"Answer: -2*p**2 - 5*p + 30198","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = j**2 + 0*j**2 - 7 - 8*j + 16*j. List the prime factors of z(-9).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (1 - 0) + (0 - 1). Let r(n) = n**2 + 6*n - 8. Let j(t) = -t - 4. Let k be j(3). Let w be r(k). Which is the closest to -1?  (a) w  (b) 2  (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) be the second derivative of -f**6\/30 + f**4\/4 - f**3\/3 + 4*f. Factor v(a).\nAnswer: -a*(a - 1)**2*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -59402 divided by -2?\nAnswer: 29701","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 3.2 rounded to the nearest ten?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 12062, 582 in descending order.\nAnswer: 12062, 582, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 5087 < 5090?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-30)\/(-8)*(-280)\/(-175).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -50\/27 and 85\/5214?\nAnswer: 46926","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 22 and 144.\nAnswer: 3168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 2\/10 - (-236)\/20. Let y = v - 11. Suppose 3*t + 0 = r + 20, -10 = -3*t - r. Sort y, t, -3 in ascending order.\nAnswer: -3, y, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -3335 - -3367. What is the remainder when 2110 is divided by k?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 52 + -60 + (46\/492)\/((-30)\/(-2568)). Which is smaller: j or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3512713 divided by -23263.\nAnswer: -151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Factor 1284\/7*a + 20\/7*a**2 + 256\/7.\nAnswer: 4*(a + 64)*(5*a + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 53\/20 + -12\/5. Let m = 1008136\/6249 - -12\/2083. Let v = 160 - m. Which is the closest to -1?  (a) r  (b) -2\/19  (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 12, 37, 106, 243, 472, 817?\nAnswer: 1302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -16*k + 12*k + 64. Solve k*d - 20*d = 12 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-1325)\/(-2275) - 2\/13. Let k = -480.1 - -480. Let h = -0.9 - 0.1. Which is the closest to k?  (a) 0.4  (b) l  (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -4\/7, 14, 1\/5, -51\/2?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = -m - m**2 + m + 2 - 2*m. Let c(l) = l - 1. Let b(o) = 2*c(o) + n(o). Let k(g) = -3*g. Determine b(k(p)).\nAnswer: -9*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from hhthtttttth. Give prob of picking 1 h and 3 t.\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence pxxl when four letters picked without replacement from {l: 1, x: 2, p: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = -r**2 + 11*r + 6. Let i be m(11). Suppose -4*l + 2*u = -2570, 9*u - i*u = -5*l + 3240. What is the remainder when l is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -6511\/10 - -654. Calculate the common denominator of r and 103\/80.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 2321 + -21230?\nAnswer: -12303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6 + -6 + (8 - (5 - 2)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = -61*x + 70. Let l(s) = -42*s + 50. Let g(m) = 7*l(m) - 5*w(m). Let b(y) = 5*y + 3. Let n(k) = -k - 1. Let u(v) = b(v) + 3*n(v). Give u(g(d)).\nAnswer: 22*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 367472 to the nearest integer?\nAnswer: 606","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -31*a + 0*a = 124 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {p: 8, l: 2}. Give prob of sequence pp.\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:13 PM and 11:57 PM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*q - 10*u - 60 = 0, -2*q + 5*u + 21 = -q - 2 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*k + 7*k = y + 17, 4*y - 12 = -k. Let u = -31 + 31. Suppose u = 3*j - j - 16. Calculate the least common multiple of k and j.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -175*q - 6*q**3 + 175*q - q**2 as z*q**3 + v + g*q + h*q**2 and give z.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) be the second derivative of v**7\/840 - v**6\/180 - v**5\/24 + v**4\/12 + 4*v**3\/3 + 13*v. Let n(y) be the second derivative of l(y). Give n(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w = -5*s + 26, 9*s - 8*s + 4*w + 5 = 0. Suppose -20 = -11*k + s*k. Sort k, -0.7, 1, 2 in decreasing order.\nAnswer: k, 2, 1, -0.7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 286*v**2 - 5*v - 291*v**2 - 5 + 6*v + 3*v to j + a*v + i*v**2 and give j.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = -b**3 - 36*b**2 - 270*b - 199. What is f(-26)?\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:02 PM and 1:58 AM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 0 + 189\/102 + -1. Let n = b + -6\/17. Let v = -1328.2 + 1328.2. Sort -3, v, n in descending order.\nAnswer: n, v, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-2)\/(-11) - 2730\/(-231). Calculate the highest common factor of 4 and p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3\/((-14)\/8*-6)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -64 + (49 - 92) - -83?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 18304 + -18304.12151. Let w = z - -0.122. What is w rounded to five dps?\nAnswer: 0.00049","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 122698 - 20367955\/166. What is the common denominator of w and ((-2430)\/48)\/(-27) - (-5 + 0)?\nAnswer: 664","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3416?\nAnswer: 2, 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 102 - 3?\nAnswer: ff","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*m = 9*z + 9*z + 28, 0 = -4*m - 4*z - 24 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = w + 5. Let q(o) = -1. Let b(v) = 3*k(v) + 15*q(v). Let d be ((-2)\/6*0)\/(-1). Let x(z) = d*z - 4*z - 2*z + 4*z. Determine x(b(j)).\nAnswer: -6*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 67, 58, 35, -8, -77, -178, -317?\n\"Answer: -g**3 - g**2 + g + 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: (-55)\/99 - 89\/(-63)\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-8)\/(-4 + (2 - 0)). Solve 2*a + l + 0 = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 419934, 420018, 420102, 420186, 420270, 420354?\nAnswer: 420438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 2438937*m**3 - 1326638.\nAnswer: 7316811*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 42\/(-2)*(-1 - 3\/9).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = -u**2 + 1. Let g(k) = -2*k**2 - k + 2. Let z(l) = 13*a(l) - 6*g(l). Let f(m) = m**2 - 5*m + 6. Let i be f(5). Determine z(i).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -100222100 (base 4) to base 9\nAnswer: -113542","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -1586, -1441, -1294, -1151, -1018, -901, -806, -739?\n\"Answer: -b**3 + 7*b**2 + 131*b - 1723","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1010011001010100111001 (base 2) to base 5.\nAnswer: 1144201202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*a + 6 + 2. Let w(x) = x**3 - 50*x**2 - 52*x + 58. Calculate the remainder when w(51) is divided by (-3)\/(-1*3) + a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is b8 + 1?\nAnswer: b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -40*p + 178603 + 77117. List the prime factors of p.\nAnswer: 3, 2131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = -4*s**3 - 9*s**2 + 24*s - 21. Let m(p) = p**3 + 2*p**2 - 6*p + 5. What is -9*m(x) - 2*u(x)?\nAnswer: -x**3 + 6*x - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -4464 + 4462. Let f = -0.3 - 0.2. Let p = 0.8 + f. Put p, t, 4\/5 in descending order.\nAnswer: 4\/5, p, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 5\/3*81\/27\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*sqrt(684) + 5)**2.\nAnswer: -60*sqrt(19) + 709","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*x**5 - 3*x**5 + 43*x**4 + 11*x**2 - 38*x**4)*(-31 + 21 + 37).\nAnswer: -27*x**5 + 135*x**4 + 297*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -2 - (-4 - -4 - 0). Let w be ((-36)\/(-27))\/(z\/2220). What is the units digit of w\/(-18) - (-10)\/(-45)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 74910862633 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 564411349*a**3 + 42624*a**2 - 4562 wrt a?\nAnswer: 3386468094","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-9)\/(-2))\/(15\/4). Put 1, o, -1, 4 in decreasing order.\nAnswer: 4, o, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -4, 25, 76, 143, 220, 301, 380, 451?\nAnswer: 508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: (-3 - (5 + -5)) + 4 + 0\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = -p**3 + 10*p**2 - 9*p + 5. Let i be v(6). Suppose i = u + 4*u. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 10446296 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -2 - -72?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is ((3\/24)\/((-3)\/(-162)))\/((-22557)\/(-390988))?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = -6*p - 8. Let x be 74\/14 - 4\/14. Let u(z) = z. Let s(m) = x*u(m) + l(m). Suppose t - 9*t = 48. Give s(t).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-21)\/9 + (-2)\/3. Let v(n) = -2*n - 3. Let d be v(w). Let j be 4 + (29\/14 - 6). Which is the smallest value?  (a) 0  (b) j  (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -8 + 8. Suppose c = -z*c - 5*q - 16, 4*c = -5*q - 4. Suppose c*k - 106 = 10. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 (base 5) in base 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i + 10 = 0, 5*x = -11*i + 14*i - 95767055. Let s = x - 22546586. Round s to the nearest one million.\nAnswer: -42000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*o - 24 = 0, 4*l + 5*o = 6*o + 14 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -220.98?  (a) 2\/5  (b) -4  (c) -3.85\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -10 + 21300102103?\nAnswer: 21300102033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 5114, 5103, 5086, 5063, 5034?\n\"Answer: -3*u**2 - 2*u + 5119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**(1\/6)\/(y**(-2\/9)*y*y))\/((y\/y**(-1\/18))\/y**26) assuming y is positive.\nAnswer: y**(70\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 27 in -1.4, 1, -19, 7, 7\/5?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18117 = 11*f - 16192. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 83255 and 40?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 106 + -2 + 2 + 7 + (-21 - (9 + -34))\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/89?  (a) 0.65  (b) 0.58  (c) 0.4  (d) 227\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = -i + 18. Let r be p(1). Solve 3*z + 9 = -3*o, -4*z = 3*o + z + r for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is h in -6125*h**2 + 31380300*h - 40192784820 = 0?\nAnswer: 89658\/35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: ((-112)\/14)\/(5 - 14)\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -195 + 116. Let w = -39 - s. Suppose 0 = i + 38 - w. Solve -n - i = 2 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = -76*d - 79*d + 154*d. Let p be 5\/(-2)*2\/(-1). Suppose -4*s = -k - 15 - 5, -p*k = 4*s - 20. Calculate y(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 23 + -31. Let x be i\/(-12) + 20\/6. Suppose -96 = -x*j + 5*z, z + 42 = 2*j - 0*z. List the prime factors of j.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -235 - -564. Suppose -2*t + 4*v - 79 = -z, 4*t + 3*v - 467 = 0. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 67295284 is divided by 46.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 15 + 7)*(43*d**2 + 4*d - 4*d + 0*d).\nAnswer: -215*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 18*g = 17*g + 3 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*4*(sqrt(204)\/(sqrt(12) - sqrt(768)*1) + 3).\nAnswer: -16*sqrt(17)\/7 + 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 680 and 425.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = -r + 1533. Let k(w) = w - 5. Determine -2*k(o) + u(o).\nAnswer: -3*o + 1543","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 657 minutes before 9:29 PM?\nAnswer: 10:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0003912610629 to 6 decimal places.\nAnswer: -0.000391","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -4*q**3 - 11*q**2 - 20*q - 6 wrt q.\nAnswer: -24*q - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 818163937?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let 35*p**4 - 15875*p**3 + 2292585*p**2 - 102160665*p - 44205480 = 0. Calculate p.\nAnswer: -3\/7, 88, 183","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 33 a factor of 1605?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 0.5, 0, 0.4, 0.13?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -l + l - 57780990*l**2 + 80*l**3 + 0*l - 77*l**3 + 57780990*l**2.\nAnswer: 3*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Does 8 divide 576?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 3691?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2, 24, 68, 134?\nAnswer: 222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g\/(g**(-1\/38)*g))\/(g\/(g\/g**(4\/21))))\/(g**10\/g)**(9\/2) assuming g is positive.\nAnswer: g**(-16225\/399)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-9)\/(-6)*44170\/1893.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = 6*y**3 + 13*y**2 + 2*y - 2. Let m(a) = -11*a**3 - 26*a**2 - 4*a + 4. What is 4*m(z) + 7*r(z)?\nAnswer: -2*z**3 - 13*z**2 - 2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -44288*x + 44290*x = -r - 84, 4*x = 17*r - 206 for x.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + 0 + sqrt(3) + -2 + sqrt(3).\nAnswer: 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = -4*n - 12. Let g(o) = -o. What is -3*g(z) + w(z)?\nAnswer: -z - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round 9269234000 to the nearest one million.\nAnswer: 9269000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -250 - -254. Let n = -1 - 0. Put -4, n, c, 0 in descending order.\nAnswer: c, 0, n, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3 + 22014*z - 3 + 10 - 22583*z.\nAnswer: -569*z + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-46)\/414)\/(1\/(-27))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -19 - -31. What is the tens digit of (-3610)\/(-14) + p\/(-14) + 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = -2*g + 1. Find the third derivative of -d**2 + 0*d**5 + 4*d**5 - d**2 - g*d**2 wrt d.\nAnswer: 240*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 617712 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: What is the next term in 3284, 3186, 3084, 2978, 2868?\nAnswer: 2754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = -3*r**2 - r. Let z(w) = -295*w**2 + 5*w. Calculate 6*q(l) + z(l).\nAnswer: -313*l**2 - l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 10459852339 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 0.5, 0, -2718, 0.1, 1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -926 + 943. Which is greater: 21 or f?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r - 4*r = 24. Let c(v) be the first derivative of -v**4\/4 - 3*v**3 - 5*v**2 - 3*v + 11. Is c(r) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.5 and -1.07.\nAnswer: 0.535","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (-34 - 4)*1\/(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 517*s**2 - 1041*s**2 + 528*s**2.\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 10*z - 5*z - 190. Let g = 192\/5 - z. Which is the nearest to -0.1?  (a) 0.3  (b) g  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*k**4\/3 - 86*k**3 + 170*k**2 - 254*k\/3.\nAnswer: 2*k*(k - 127)*(k - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1500, 3026, 4616, 6306, 8132?\nAnswer: 10130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = -27*v - 143. Let l be u(-28). Suppose 18*y - 35 - l = 0. What is the highest common factor of y and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i\/i**(-9)*i)\/i**(-1\/2))\/((i*i*(i*i*i**(-2\/5))\/i)\/(i\/i**(-9)*i)) assuming i is positive.\nAnswer: i**(199\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 461948946?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 309*b**2 - 177*b**2 - 319*b**2 + 1 - 1 - 556*b**2.\nAnswer: -743*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 5 or -12753?\nAnswer: -12753","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 - -3 - (0 - 9).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 51562661 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = w**3 + 8*w**2 + 6*w + 4. Let l be f(-5). Suppose -3*j = -8*j - 5*x + 225, 5*x - l = -j. Suppose j = -5*a + 9*a. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -746*u = -733*u - 5876. Let s = 4070\/9 - u. Sort 70, 1, s, 4.\nAnswer: s, 1, 4, 70","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be -1*((-2)\/(-6))\/(3\/9). Let c be (j - -3)\/(-18 + 4 + -4). Sort c, 1\/22, 0, 0.1 in decreasing order.\nAnswer: 0.1, 1\/22, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -220000 + -111?\nAnswer: -220111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 12273?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Divide -596 by -3.\nAnswer: 596\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in -3\/5, 0.06, 3\/7, 1\/4?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express -7*v**3 + 418572*v + v**2 - 146 - 418574*v - 3*v**3 as q*v + y*v**2 + s*v**3 + c and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.746964 micrometers in centimeters?\nAnswer: 0.0001746964","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {i: 6}. Give prob of sequence iiii.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 11786891?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -13615642, -27231264, -40846872, -54462460, -68078022?\nAnswer: -81693552","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -3 + 4b?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -452*l = -220*l - 225*l + 14 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = -t**2 + 4. Let j be c(-3). Let u = 4 - j. What is the remainder when u is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 3927280606?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6685?\nAnswer: 5, 7, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*u**5 + u**5 + u**5 + (-u + 2*u**2 + u)*(-4*u + u**3 + 4*u) + 6 + 2*u**5 - 6 + 2*u**5 - 2*u + 4032*u**4 - 4032*u**4 + 27*u**3.\nAnswer: 5*u**5 + 27*u**3 - 2*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 16611 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 4.49 + -4.3. Let i = -25.81 - v. Let m = i + 25. Which is the smallest value?  (a) m  (b) -0.2  (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 23206 + 28218 = 16*a. What is the tens digit of 35\/70 - a\/(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 16 + -14. Suppose u*p = 44 + 18. What is the tens digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*m + 3*p - 7049 = 0, -3144 = -5*m - p + 5670. Suppose 11*f - m = 899. What is the hundreds digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = -i**2 - 12*i - 20. Let v be j(-8). Suppose v = -6*w - 0. List the prime factors of (3 + w)\/(8\/104).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1060528.\nAnswer: 2, 7, 17, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 624 minutes after 3:33 AM?\nAnswer: 1:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -11899*v**6*y**2 + 422*v**3*y**3 - v**2*y**3 + 36394*v**2*y**2 + v*y**2 + y wrt v.\nAnswer: -1427880*v**3*y**2 + 2532*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Put 18, 4, 5, 2, 1 in decreasing order.\nAnswer: 18, 5, 4, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -211120222010111 (base 3) in base 11?\nAnswer: -6860311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2041*n + 189 = 2044*n. Solve 8*j + 39 = n for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 1069259*u**5 + 4117797*u**2.\nAnswer: 64155540*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 7 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-6)\/270)\/(1\/39) + 1 + 0. What is the fourth biggest value in -5, -7, k, -2\/11, 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 27*z**3 + z**2 - 235 wrt z?\nAnswer: 81*z**2 + 2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ffopop. What is prob of sequence pff?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l\/l**8)\/l*(l\/(l**0\/l))\/l)\/(l**(3\/2)*l**(2\/7)\/l)*l**(-2\/9)\/(l*((l**(2\/7)*l)\/l)\/l*l)*l*l**(-6\/5)*l**(1\/2)\/l assuming l is positive.\nAnswer: l**(-3148\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -8 - -13. Solve 4*u - 5*b + 0 + j = 0, 0 = -3*u - 3*b + 3 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21 = j - 6. Let t(a) be the first derivative of a**3\/3 + 11*a**2\/2 - 5*a + 11. Calculate the remainder when j is divided by t(-12).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -5026 (base 9) to base 11.\nAnswer: -2836","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-798)\/(-24)*(-138)\/5. Let f = l - -915. Calculate the common denominator of 34\/7 and f.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 12 - 12. Let k = -0.1 - -0.098. Let i = w - k. Round i to three decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = z + 127149. Let x(g) = -4*g**2 + 2. Determine a(x(y)).\nAnswer: -4*y**2 + 127151","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = 15407*r. Let d(z) = 3*z. What is d(x(u))?\nAnswer: 46221*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*k - 5 + 14 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 27776 (base 9) in base 3?\nAnswer: 221212120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2049*f**5*g**2 - f**3*g**2 + 6179*f**2*g**2 + 2*f**2*g wrt f?\nAnswer: 122940*f**2*g**2 - 6*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1509, -1584, -1659, -1734, -1809?\nAnswer: -1884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 12.16 - 4188735.695.\nAnswer: -4188723.535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 420\/10 - (-2244)\/(-55)\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*o = 5*d + 14, 0 = -0*o - 5*o + 4*d - 2 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = -a**2 + 98*a - 1170. Give o(85).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 156467775.\nAnswer: 3, 5, 163, 12799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 16 + -8. Let d(p) = p**3 + p**2 + p + 6. Calculate the least common multiple of d(0) and n.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2)\/(((-8)\/(-10))\/(6\/420*-14)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t - 2 = -5*p - 6, 4*t - 2*p = 28. Calculate the highest common factor of t and 54.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:25 PM and 9:35 PM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g**16\/g)\/g)**7*(g**(-6)\/g)**26 assuming g is positive.\nAnswer: g**(-84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 81548 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 2 + 14)*(-4*q + 4*q - 2*q)*(-1 - q**3 + 1).\nAnswer: 30*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -53\/1410 and 22\/1467.\nAnswer: 689490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 3974167 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -129366765 divided by 14374085\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2 - 1 + 1 + (4 - 2 + 0)*(8 + 7 - 12) - 1 - 1 + 5)*(-3 + 0 - 1)*(i + 0 + 0) in the form t + p*i and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 7\/(-10) - 11\/(-55). What is the closest to 2 in 4, o, -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -259*o + 6 = 4*k - 261*o, -12 = -4*k + 4*o. Solve k = -193*z + 190*z + 12 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-7)\/5 - 6\/(-15). Let j(r) = -4*r - 1. Let t be j(v). Sort -5, 1, t in decreasing order.\nAnswer: t, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-299)\/52)\/(-3 + (-130)\/(-40))?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*h - 47 + 55 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Put 268, 16, -3 in increasing order.\nAnswer: -3, 16, 268","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from llllyyyllyyyyllyly. Give prob of picking 1 l and 3 y.\nAnswer: 21\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -2*-4*1\/(-4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 1\/((-12)\/(-15))*14\/(-35). Sort -2\/3, n, -4, -3\/5 in descending order.\nAnswer: n, -3\/5, -2\/3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3256837.\nAnswer: 83, 39239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(11) + -3*-3*sqrt(11) + sqrt(22)\/sqrt(2)*1 - ((sqrt(11) - (sqrt(11) - (sqrt(22)\/sqrt(2)*-5 + sqrt(11)))) + 2 + sqrt(539))*4)*-1)**2.\nAnswer: 16*sqrt(11) + 75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2?  (a) -0.5  (b) 0.24  (c) -0.03  (d) -1\/6  (e) 64\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -21*o**2 + 3 - 29*o**2 + 2*o**3 - 63 + 49*o**2 to k*o**3 + u*o + q*o**2 + y and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in x**3 + 4122946*x - 4122946*x.\nAnswer: x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r**3\/3 - 1184*r**2 - 166350*r - 6097500 = 0. What is r?\nAnswer: -1626, -75","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*j = d - 6, -j + 2278*d - 2280*d + 48 = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 28 (base 9) to base 5\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 33, 4, 0, -1, 3.\nAnswer: -1, 0, 3, 4, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 8232\/20*((-4)\/22 - 1939\/(-77))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (23*p - 97 + 97 - 5 - 2*p + 5 + (-2 + 3 - 3)*(p + 2*p - 2*p) + 2*p - 4*p + p - p + 0*p - p)*(0 - 4 + 5) to the form q*p + y and give q.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 77*k - 1074 = 389 for k.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 8\/11 + 17\/22. Let i(o) be the first derivative of 0*o**3 + f*o**2 - 1 + 1\/2*o**4 + 0*o. What is the second derivative of i(x) wrt x?\nAnswer: 12*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = 6*g - 3*g**2 + 4*g**2 - 1 + 2 + 4. Calculate the least common multiple of h(-6) and 8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 387 minutes before 8:38 AM?\nAnswer: 2:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 183 is divided by 65.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/3, -0.5, 20, 0, -188 in descending order.\nAnswer: 20, 0, -0.5, -2\/3, -188","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -140120341 - 0?\nAnswer: -140120341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 390 = 24*t - 63*t for t.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 35\/3 - (-100)\/75. Solve -5*l = 7 + o for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((2*q**2 - 4*q**2 + 0*q**2)*(-3*q + q + q) - 3*q**3 - 3*q**3 + 3*q**3)*(-7*q + 7*q**2 + 7*q).\nAnswer: -7*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = -2 + 0*r - 3 - 6 - 3*r + 9*r. Let n(m) = -2*m + 4. Give -3*g(x) - 8*n(x).\nAnswer: -2*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is eleven quarters of a milligram in micrograms?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 24 divided by 16600?\nAnswer: 3\/2075","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = -f - 4. Let p be m(-5). Let d(q) = 2*q. Let r be d(p). Suppose 5*n - 58 = -0*z - 4*z, 5*z + r*n - 64 = 0. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -3.14 - -3. Let r = o - -0.04. Let z = -2 - -1.9. Is z at least r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*sqrt(637) + 1)**2.\nAnswer: -42*sqrt(13) + 5734","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = q**2 + 2*q + 1. Let z be h(-1). Suppose 4*v - 16 + z = 0. Solve t + t = v for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-422)\/(-38) - 10\/95. Calculate the greatest common factor of 11 and g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 25167186.\nAnswer: 2, 3, 11, 29, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 25 - 17. Suppose -7*v = -5*v + l. Let w = -8 - -5. Put w, v, -5 in decreasing order.\nAnswer: w, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -9\/5 at most as big as 0.0759?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = 3*j. Let o be c(-1). Let k be ((-1)\/(-3))\/(o\/(-36)). Let n be -2*(-2 + 1) - 2. Solve n = 3*a + 8 + k for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -3 + (-1 - 0)\/(9\/99). Let s be u\/(-8) + (-4)\/(-16). Solve 0 = 3*i - 6*i + 5*j + 3, 2 = s*i + 5*j for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + (3 + sqrt(605)*-1 + 4 + sqrt(605))**2 - ((0 + sqrt(605))**2*1 - (sqrt(605)*3 + 1)).\nAnswer: -559 + 33*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 37*y - 59*y + 21*y.\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -1371 - 1007. Let x = 4687 + a. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 2388726?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -1541, -3221, -5033, -6977, -9053, -11261?\n\"Answer: -66*p**2 - 1482*p + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 246 and 21?\nAnswer: 1722","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = -9*m + 11. Suppose 3*l + 3*w - 9 = 0, 25*l + 21 = 24*l + 5*w. Let r(q) = -q. Calculate l*y(x) + 6*r(x).\nAnswer: 3*x - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 4738530 or 2\/93?\nAnswer: 4738530","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 24*h + 9 + 348*h**2 - 24*h.\nAnswer: 348*h**2 + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 9419846 to the nearest integer?\nAnswer: 3069","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 4\/8681 or 0?\nAnswer: 4\/8681","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10*t - 330 = -13*t - 30*t for t.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (72\/144)\/((-14)\/(-196)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {n: 3, r: 3, u: 1, d: 1, x: 2}. Give prob of picking 2 d, 1 r, and 1 n.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = 13*a + 1. What is d(-2)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -25677*g**3 - 25404*g**3 + 76757*g**3 - 25668*g**3.\nAnswer: 8*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Does 30 divide 1627977?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = 1133*s - 1140. Give h(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 63129, 126094, 189059, 252024?\nAnswer: 314989","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 15488.448 months to centuries.\nAnswer: 12.90704","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*q - 92 = -11*q. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2 - 4 + 4)*(3*b**2 - b**3 - 3*b**2) + (-1 + 1 + 2*b)*(2*b**2 + 0*b**2 + 0*b**2) to o*b + g*b**3 + d*b**2 + i and give g.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 39\/15 - 5291\/(-65) and 842.\nAnswer: 35364","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 235657623.\nAnswer: 3, 59, 1331399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -42, -85, -108, -99, -46?\n\"Answer: 2*k**3 - 2*k**2 - 51*k + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 33\/22*(-4)\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g + 102 = -g. Suppose 0 = -2*y + 2*n + 8, -38*y + 34*y - 2*n + g = 0. Solve 5*j - y = t, 5*j + 4 + 1 = -5*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-48)\/(-3) - (-277236)\/(-17969)\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**(-5\/8)*k**(-1\/4)\/k)\/(k\/(k*k**16\/k)*k\/(k*k**(6\/13)\/k)) assuming k is positive.\nAnswer: k**(1309\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 19081\/2 at least 9540?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 171 and 111473.\nAnswer: 1003257","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = y + 16. Let p be u(-16). Let o(z) be the third derivative of -z**2 + 0*z**3 + 0*z + 0 - 1\/60*z**5 + p*z**4. Let j(k) = 3*k. What is o(j(g))?\nAnswer: -9*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1582.1, -0.5, 0.1, -0.4, 0.2 in descending order.\nAnswer: 1582.1, 0.2, 0.1, -0.4, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 660 != 661?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -14.4*2.1.\nAnswer: -30.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 1100010111 (base 2) to base 6\nAnswer: 3355","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: (-88)\/11*1518\/176\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -188*l + 345*l - 187*l + 538*l + 398*l to z + u*l and give u.\nAnswer: 906","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:18 PM and 6:37 AM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = 2*b**2 + 21*b + 22. Suppose a - 4*m = 15, -m - 30 = 2*a + m. Give p(a).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 5\/(-33) + (-4)\/22. Let b = 9307 - 9301. Do b and u have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) = 17759*h**3 - 9*h**2 - 13*h - 27. Let k(u) = 8880*u**3 - 4*u**2 - 6*u - 12. Calculate -4*j(p) + 9*k(p).\nAnswer: 8884*p**3 - 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -109007 - -21112?\nAnswer: -87895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -119 = n - 123. What is the first derivative of -246*c - 10 + 137*c + n wrt c?\nAnswer: -109","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 37.93707cm in meters?\nAnswer: 0.3793707","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -990\/59 + 207159\/12272. Find the common denominator of i and 43\/832.\nAnswer: 832","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v - 27 + 6 = 0. Suppose -3*d = -v*d + 16. Calculate the remainder when 7 is divided by d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4536\/432 - (12\/(-18)*27\/6 + 12)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2 + 0 + 17*g + g.\nAnswer: 18*g - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 6523, 9975, 13425, 16873, 20319?\n\"Answer: -o**2 + 3455*o + 3069","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -26535 + 26535 - 1468*f**3.\nAnswer: -1468*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (6\/7)\/((-3)\/(-21)). Let l = -1223\/5 + 245. What is the common denominator of l and (-2)\/y + (-250)\/6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) be the first derivative of -5*u**6\/6 + u**2\/2 - 3. What is the second derivative of z(p) wrt p?\nAnswer: -100*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 14\/(-98) + ((-82)\/42 - -2). Sort -5, f, 1, -6\/5.\nAnswer: -5, -6\/5, f, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -2 - -8. Suppose 2*a = 8 + v. List the prime factors of a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -37*i**5 + 164046*i**2 - 131781*i + 2 wrt i.\nAnswer: -740*i**3 + 328092","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5676.\nAnswer: 2, 3, 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0*-2040.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*l + 0*l + 3*l)*(3*l**2 - 2*l**2 + l**2).\nAnswer: 10*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 - (-12 - (-1 - (1 - -6))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (10\/(-15))\/((-2)\/(-270)). Is 14 a factor of (24\/5)\/((-12)\/x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) be the third derivative of 0 - 7\/200*y**6 - 2\/5*y**3 + 0*y + 5*y**2 + 19\/100*y**5 - 1\/5*y**4. Factor l(d).\nAnswer: -3*(d - 2)*(d - 1)*(7*d + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = -5*k**2 - 12*k - 4. Let v be m(-2). Solve b - 6*t - 7 = -3*t, v = -3*b - t - 19 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-3 + 3 - -4) + -4. Let q = 625\/4 + -335\/2. Calculate the common denominator of 1\/(-3) + (k - (-70)\/18) and q.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = -2*v**3 - 78*v**2 + 21*v + 583. Determine q(-39).\nAnswer: -236","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 24 a factor of 1464?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*h**2 - 71169*h + 71166.\nAnswer: 3*(h - 23722)*(h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: (-253)\/((-920)\/(-25) - 9 - 30)\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*sqrt(66)*5)\/(2*sqrt(30)\/sqrt(5)).\nAnswer: 5*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*a**2 + 2000010*a - 200002000005 = 0. What is a?\nAnswer: 200001","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-1)\/(((-8)\/2)\/68). Let s be a\/6 - (-8)\/48. Differentiate s - c + 1 - 3*c with respect to c.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -213, 31, 6 in descending order.\nAnswer: 31, 6, -5, -213","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 223 - -586. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (45\/(-15))\/((-3)\/2*-3)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -9 * 41\nAnswer: -369","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put -1\/4, -5, -148 in ascending order.\nAnswer: -148, -5, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -33 - -35. Suppose 0 = -b*g + 6*g - 4. What is the highest common divisor of g and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (6 - 3)\/(1\/4*4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*y**3 + 4*y**3 - y**3)*(-11043 + 217*y**2 + 5518 + 8081*y**2 + 5525).\nAnswer: -8298*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is (-35 - -18) + (-2 - -14) - -27?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = c - 9. Determine l(13).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 44 + 1 - 21 - -18?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -55014 + -559.\nAnswer: -55573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 2 or 11080294?\nAnswer: 11080294","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((4*sqrt(2) + 3 - (1 + sqrt(6)\/sqrt(3) - sqrt(2)))*2 + ((-1*sqrt(8)*-4)\/sqrt(4) + -4)*-4)**2.\nAnswer: -320*sqrt(2) + 528","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -23 - 1 + 1210*i - 2250*i + 1205*i.\nAnswer: 165*i - 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = -p**3 + 2 + 4 - 9*p + 6*p**2 + 8*p. Give x(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 34467530672 - 34467530672 + 3*w - w**3 - 3*w.\nAnswer: -w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -46159 + 89177. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = -a**3 + 25*a**2 + 26*a - 3. Determine r(26).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 17546 divided by 12.\nAnswer: 8773\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*a + 5*b = -34, 4*a - 2 = 2*b - 4*b. Suppose -9 = a*q, 5*o - 159 = 2*o + 5*q. What is the lowest common multiple of o and 36?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"}
{"text":"Question: Work out 0.0425 * -3.\nAnswer: -0.1275","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 4 - -2a?\nAnswer: 2e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*c + 3*c - 5*c + 3*c.\nAnswer: -3*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = 51 + v - 3*v**2 - 2*v - 49 + 2*v**2. What is b(-5)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 6 - 6. Suppose 3*m - 11 - 7 = v. Let i(y) = y**3 + 3*y**2 - 5*y. Let f be i(-4). Solve 0 = 5*g - m*g - f for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1650 + -1151. What is the hundreds digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -953\/645427 not equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {i: 2, d: 5, s: 1, j: 2, k: 5, m: 2}. What is prob of picking 2 k and 2 i?\nAnswer: 1\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = -15*f + 15. Let n(c) = 2*c. Give g(x) + 5*n(x).\nAnswer: -5*x + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -1221.4 + 1221.8. Let k be (-7)\/3 + 2 + 0. Which is the third smallest value?  (a) h  (b) -6\/5  (c) k  (d) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 523 + -285. Is 7 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = -20*v**3 + 5*v**2 - 4*v - 2. Suppose -5*m - 5 = -5*j, 3*j + m + 17 = -0*m. Let y be q(j). Let w = y + -743. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*l**2 - 1 + 0*l**2 - 6*l**2.\nAnswer: -l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = 5*b + 1. What is the remainder when 29 is divided by p(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = -2*s + 3. Let h(z) = 1602*z - 2136. Calculate 3*h(n) + 2136*j(n).\nAnswer: 534*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-1592)\/(-12))\/(4\/6). Suppose 5*x + 4*b - 422 = 3*x, 2*b = x - d. What are the prime factors of x?\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = 160*o**3 - 3*o**2 - 15*o + 21. Calculate g(1).\nAnswer: 163","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from jjxjpjixgjggxxijjip. Give prob of sequence jpx.\nAnswer: 28\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = -j**2 + 59*j. Let g(s) = 3*s + 2. Let c(x) = -4*x - 3. Let b(w) = 2*c(w) + 3*g(w). What is z(b(d))?\nAnswer: -d**2 + 59*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 0  (b) -8  (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) be the second derivative of -p**4\/8 - 7*p**3\/2 - 18*p**2 - 283*p. Factor v(g).\nAnswer: -3*(g + 2)*(g + 12)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 9*f**2 - 44*f + 44*f as q*f**2 + b + z*f and give q.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*k = 5*i + 6000, -k = i + 2*k + 1181. Let f be (-3)\/(-18) + i\/(-24). What is f rounded to the nearest one hundred?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 95*o - 1778592 = -99*o. Does 48 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 760834 (base 10) in base 12?\nAnswer: 30836a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 6, 3, 51, 5, -9, -11 in descending order.\nAnswer: 51, 6, 5, 3, -9, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -6288.5 + 6288. What is the closest to -1.11 in 2\/11, f, 5, -0.2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1212 divided by 530563?\nAnswer: 1212\/530563","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -15895.9989809 + 15896. What is y rounded to 5 decimal places?\nAnswer: 0.00102","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 344 - -22243242?\nAnswer: 22244141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = -u**3 - 9*u**2 - 11*u + 6. Let c be w(-8). What is the second derivative of 30 + 21*d**3 + 12*d - c + 5*d**3 wrt d?\nAnswer: 156*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 357 by 650.\nAnswer: 357\/650","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-6)\/4)\/((-3)\/6). Let s(q) = 2*q**2 - q - 1. Let d be s(-1). Suppose j*u - 14 + d = 0. Solve 5*m = 15, 0*b = b - u*m + 13 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -118, -229, -328, -415, -490, -553?\nAnswer: -604","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (22\/(-8))\/((-4)\/16) - 3. Let s(u) = u**2 - 8*u - 5. Calculate s(y).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -47, -48, -51, -56?\n\"Answer: -j**2 + 2*j - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = -1802*v**2 - 4*v. Let m be n(4). Let z be (-2 - -25) + -9 + 0. What is the tens digit of (-8)\/z - m\/112?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 17937?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -432 - -432. Suppose u = -7*p + 13*p - 28506. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.7373514096 + 99.\nAnswer: 99.7373514096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 795414*w**3 + 4*w**2 + 30635*w - 23.\nAnswer: 4772484*w + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 2\/7 of a week?\nAnswer: 2880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 259187 rounded to the nearest 100000?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -1012211124 (base 5) in base 4?\nAnswer: -13321100203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express (3*i - i + 0*i)*(6*i - 6*i + 3*i**2) in the form u*i**2 + j*i**3 + d + s*i and give j.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 236603 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 156\/(-42) + 4 - 96\/(-7). What is the remainder when 115 is divided by 0 + l\/(-49) + (-170)\/(-7)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence iig when three letters picked without replacement from iiiigiiigiiiiiiiii?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Put together 0.5 and -534.\nAnswer: -533.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 2011110110 + -110100?\nAnswer: 2011000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -100*b + 1237942 = 1231942 for b.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l**5 + 12*l**4 - 16*l**3 - 32*l**2 + 96*l - 64 = 0. What is l?\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/2?  (a) -0.4  (b) 4  (c) -192  (d) -1732  (e) -2  (f) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b = -0*b - 16. Let c = -5 - b. Let w(l) = -l**3 + 2*l - 2*l - l**2 + l + c. What is w(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -28.339 times 0.01\nAnswer: -0.28339","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g*(g\/(g\/(g*g\/(g\/(g\/(g\/g**(4\/11)))*g))*g))\/g*g*g*g**(-3))**(-6) assuming g is positive.\nAnswer: g**(108\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2650685?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = h + 60. Let x be 2\/4*-6 + 3. Let g be f(x). Calculate the greatest common divisor of 15 and g.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1603657 (base 11) to base 4\nAnswer: 22131211320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 5*g**6 + 945832*g**4 + 2*g**2 - 8524355 wrt g?\nAnswer: 600*g**3 + 22699968*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**(-12\/5)*(j*j*j**(-1\/4))\/j)**(-36)*(j**(-2\/7))**15\/(j\/j**1)**(-3\/2) assuming j is positive.\nAnswer: j**(1929\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -109 + 102. Let f(p) = -3*p - 19. Let h be f(q). Calculate the greatest common factor of h and 32.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 128 = 37*k - 353 for k.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000002465 rounded to seven decimal places?\nAnswer: 0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i + 10 = 4*q, 0 = -3*q - 4*i - 0 + 2. Suppose -5*c = -5*g - 145, 40 = q*c - g - 15. Is c a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (188 - 178) + (1 - 4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -271*i + 261*i = -80 for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 1760 and 660?\nAnswer: 5280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*h + 5*h - 4*h)*(-3*h**2 + h**2 + 3*h**2).\nAnswer: -h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j + 29 = 5. Let r(b) = 5*b**2 - 4*b + 3. Calculate the remainder when r(2) is divided by j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (18\/(-10))\/((-423)\/705). Solve -d + 0*d = -2*l - 13, -f*l + 4*d = 32 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 257c (base 13) to base 14\nAnswer: 1d38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 151.06 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t be -41*(1 - 0) + 4. Let s = -29 - t. Suppose -6*g + s + 40 = 0. What is the smallest common multiple of 4 and g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2271067 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = -4 - 10*j + 0*j**3 - 3*j - 8*j**2 - j**3. Let k be h(-6). Suppose -k*z + 108 = -0*z. Calculate the remainder when z is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(108) - (-2 + sqrt(108)*1))**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = -i + 3*i + 0*i + 21 - i. Let g be v(-9). Suppose 0 = y + 3*y - g. Solve 3*u = y*p - 18, -p = 3*u + 4*p - 14 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000024030309 to 6 decimal places.\nAnswer: 0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 4568613713 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 22929 or 22347?\nAnswer: 22929","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -350762 divided by -2\nAnswer: 175381","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2 + 1 + 0)*(-2*l + 0 + 0 + (0*l + 3*l - 2*l)*(0 + 3 + 0)) to the form d*l + u and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -145953, -145926, -145855, -145716, -145485?\nAnswer: -145138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 45035317 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 58, 153, 260, 385, 534, 713, 928, 1185?\nAnswer: 1490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Express 21*x**2 + 59*x - 59*x - 138*x**2 as o*x**2 + g*x + b and give o.\nAnswer: -117","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -8*j + 16 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = 399*m - 17. Let n(u) = -133*u + 6. Give -8*n(h) - 3*w(h).\nAnswer: -133*h + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Divide 20394 by -3.\nAnswer: -6798","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 3839, 3842, 3847, 3854, 3863?\nAnswer: 3874","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1470861813?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) be the third derivative of 1\/4*t**4 - 1\/40*t**6 + 0 + 0*t**3 - 1\/20*t**5 - 9*t**2 + 0*t. Factor x(f).\nAnswer: -3*f*(f - 1)*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:04 PM and 11:04 PM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = -x**3 + 3*x**2 + 6*x - 4. Let c(r) = -r + 3. Suppose -8*s = 4 + 4. Let m be c(s). Calculate h(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -372 - -1118\/3. Which is the smallest value?  (a) -2.4  (b) 0.054  (c) 0  (d) -5\/2  (e) o\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 77 - (51 + -34 + 66)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/9, -2\/11, 3, 2\/7.\nAnswer: -2\/9, -2\/11, 2\/7, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + sqrt(13) + sqrt(13)*2)**2 + (-5*sqrt(130))\/sqrt(10).\nAnswer: 7*sqrt(13) + 121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 72303 and 132.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 2621 (base 9) in base 8?\nAnswer: 3653","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5 + 5 - 2*d)*(d**3 + 0*d**3 + 0*d**3) + 75 - 75 + 30*d**4 - 229*d**4 + 71*d**4 + 107*d**4.\nAnswer: -23*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is three tenths of a centimeter in micrometers?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -2, -33, 11, 3, -3.\nAnswer: -33, -3, -2, 2, 3, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-2 - -2)*(1 - 0). Suppose a*r + 3*r - 171 = 0. Calculate the common denominator of r\/27 + -2 - 2 and -67\/10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 137 + 75. Let k be s\/12 + (-4)\/(-3). Let h(z) = 42 - 21 + 0*z - z - k. What is h(6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = 2*c**2 + 32*c + 29. Determine p(-14).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 j, 1 k, and 1 w when three letters picked without replacement from {s: 2, k: 2, j: 1, g: 1, w: 1}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -7 + 13. Let w = l + -3. Find the second derivative of 2*g + 2*g**w - 2*g**3 - g**3 + g wrt g.\nAnswer: -6*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = k**3 + 3*k**2 + 4*k + 4. Let q be v(-2). Suppose -5*a + 6*a - 9 = q. Is a a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d = -2*d. What is the nearest to 3 in -5\/3, 5, d?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 28*h + 19*h + 29*h + 148 - 77*h.\nAnswer: -h + 148","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 468*w - 939*w - 555*w**2 + 267*w**2 + 471*w.\nAnswer: -288*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 0.385 times 3\nAnswer: 1.155","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-4)\/6*(-18)\/48*-4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -80989.736 + 80995.1360033. Let i = -17.6 + 23. Let g = i - j. Round g to six decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 z and 1 u when two letters picked without replacement from {o: 4, z: 3, u: 4}.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 0.1, 30, -1\/5 in decreasing order.\nAnswer: 30, 0.1, -1\/5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = -b - 3. Let c(z) = -z - 2. Let h(i) = 3*c(i) - 2*t(i). Suppose 2*j = 3*f + 4, 4*j + 5*f - 10 = -2. Let x(l) = 6*l - 9*l + j*l. Give h(x(y)).\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {s: 17, n: 1}. What is prob of picking 1 n and 3 s?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 1583517042, 1583517043, 1583517044, 1583517045?\n\"Answer: j + 1583517041","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -50*j + 51*j + 3*s = 615, 0 = -5*j - 3*s + 3087. What is the highest common factor of j and 102?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t + 3*l + 3 = 6*t, 3*t + l = 7. Let v be t - (1 - 0 - 3). Is 2 + (3 - v) + 13 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*(-1*sqrt(102)*-1*1)\/((sqrt(864) - (sqrt(864) - -4*-3*sqrt(864))) + sqrt(864)))**2.\nAnswer: 17\/1521","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.15 and -9.698.\nAnswer: 1.4547","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3814*k**3 + 3037*k**3 - 6978*k**3.\nAnswer: -127*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Express 3602*x + 3599*x - 7221*x in the form g*x + b and give g.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b + 4 + 0 = 0. Let m(x) = 6*x**3 + 7*x**2 - 2*x - 6. Let s be m(b). Suppose -j - 2*t + 164 = 0, 3*j + 0*t = -t + s. What are the prime factors of j?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from qiiiiiiiiqiiiiiiqiq. What is prob of picking 1 q and 2 i?\nAnswer: 140\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 128, 137, 146, 155?\n\"Answer: 9*y + 119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 6\/15*405\/(-18).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2 + 2 + 4*n**4 + (n**3 - 3*n**3 + 0*n**3)*(-14*n + 12*n + 5 + 6*n).\nAnswer: -4*n**4 - 10*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -107925.37 from 452.\nAnswer: 108377.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) be the first derivative of -4*t**3\/3 - 1196*t**2 + 74420*t - 157. Let j(d) = d**2 + 478*d - 14884. Let z(f) = -24*j(f) - 5*v(f). Factor z(s).\nAnswer: -4*(s - 61)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 231106135 and 13325.\nAnswer: 2665","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 42541060 divided by -4.\nAnswer: -10635265","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x - 5*l + 724 + 436 = 0, -5*x + 4*l = -1884. Is x a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -16 - -19. Let r(j) = 13*j**3 - 3*j**y + 6*j - j + 11*j. Let b(x) = 2*x**3 + 3*x. Determine 16*b(z) - 3*r(z).\nAnswer: 2*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*b + 3*d - 5 = -4, 0 = -b - 3*d - 11. Solve 2*p = 6*p - b for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) be the second derivative of -53*j**5\/20 + 7*j**4\/12 - 643*j**2\/2 + 10*j + 13. Differentiate a(y) wrt y.\nAnswer: -159*y**2 + 14*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (29 - 2\/2)*1. Suppose -7*y + 28 = -3*y. What is the highest common divisor of y and o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f + z = -12, 0 = -4*f - 0*f + z + 16. Suppose k + 13 = -f*n, 7 = -3*k + 33*n - 37*n. Solve -5*t - 16 = -k*v, -v - t = 2*t + 18 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.06 greater than 14.087?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -799  (b) -0.06  (c) 4  (d) -4  (e) 277\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 10 minutes after 9:07 PM?\nAnswer: 9:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-4)\/(-1 + 0) - 3. Let i(x) = 4*x + 0*x + v + 0. Let p be i(1). Solve 3*m - 5*h + 9 = 2*m, -m - p = -3*h for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-20)\/(-45) - 232\/36 - 2?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let -a**5\/6 + 7*a**4\/6 + 79*a**3\/3 - 94*a**2\/3 - 308*a\/3 + 320\/3 = 0. What is a?\nAnswer: -10, -2, 1, 2, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = 7*x**2 + 5*x - 4. Is 21 a factor of r(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2254?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 0\/(-1056 + 1059 - -4*((-2)\/4 + 0))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 g and 2 x when three letters picked without replacement from poopggxkopjooxg.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 21583?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 95344969?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 142011411?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) 105  (b) -727  (c) 0.4  (d) 5  (e) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 422 is divided by ((-252)\/14)\/54 + 79\/3 + 1?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -23*h = 5*s - 7*s - 33, -3*h + 28 = -5*s. Sort -1, 213, h in decreasing order.\nAnswer: 213, h, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -494, -377, -262, -149, -38, 71, 178?\nAnswer: 283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*i**3 - 4*i**3 + 177 - 180 + 5*i**3.\nAnswer: 5*i**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h - 10 - 5 = 0. Suppose 7*n - 24 = h*n. What are the prime factors of n?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*(sqrt(1100) + sqrt(1100)*-2)*-1)**2*-5.\nAnswer: -5500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 961757 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 692258?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 694*u + 2319*u - 198858 = 0 for u.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 4\/(-3)*(-5 + 2). Calculate the remainder when 23 is divided by -2 - i\/2 - -12.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 123539513 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -16*o**2 - 7*o**2 + 0*o**2.\nAnswer: -23*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 148 and 37.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1 - 0)*(1 + (5 - 1)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3407?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2*(6 + -13 + 5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {m: 3, u: 1, r: 11, a: 1, x: 3}. Give prob of picking 2 u and 1 m.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = -4 + 124*w + 20 + 2*w**2 - 119*w. What is the units digit of z(-7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine d so that 3*d**4 + 21*d**3 + 36*d**2 - 12*d - 48 = 0.\nAnswer: -4, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 2 (base 15) to base 9\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*w = -2*v - 196, v + 4*w = 6*v + 448. List the prime factors of (930\/(-120))\/(1\/v).\nAnswer: 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.9920576 litres in millilitres?\nAnswer: 992.0576","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 4330, -285, -4900?\nAnswer: -9515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 29, 57, 97, 149, 213, 289?\nAnswer: 377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 3401 to the power of 1\/2, to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Round -473950 to the nearest 100000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m*m**(2\/15)*m)\/m)\/((m*m**(-2\/43)\/m)\/m) assuming m is positive.\nAnswer: m**(1406\/645)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-1 + 0 + 3)*(0*w + 3*w + 7*w)*(-1 + 3 - 1) to the form g + m*w and give m.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.506491 tonnes in milligrams?\nAnswer: 2506491000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Work out -15236 + 16.4.\nAnswer: -15219.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.4 in -5, -1\/3, 13.9, 0?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.013 and -0.1176?\nAnswer: -0.0015288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 39*u + 6 = 35*u + 3*n, n - 2 = 4*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Round 8680 to the nearest 1000.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d = 3*d - 22. Suppose -2*p = 5*k - 10, k + p + 1 = -0. Suppose k*i + 0*i - 42 = 5*b, i - d = b. Is 13 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*a - 53 = 4*h, 3*h + 92 = 2387*a - 2392*a for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -3165, -3109, -3055, -3003, -2953, -2905, -2859?\n\"Answer: -d**2 + 59*d - 3223","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 30 and 5475.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) be the first derivative of 13 - 3*d**2 - 1\/4*d**4 - 6*d + 2*d**3. Determine x(5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*d**2\/7 + 559628*d\/7 - 5596480\/7.\nAnswer: 2*(d - 10)*(d + 279824)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*d - 7*d = 16. Solve -8 = -d*l - 0*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 1\/20 of a milligram?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 20237 is divided by 3221.\nAnswer: 911","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from asshhasshshhhahshq. What is prob of picking 2 s?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -14 + 13?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*i + 6 + 81 = -3*y, -2*i + y + 43 = 0. Let w be (-6)\/i - (-37)\/7. Suppose 0 = -0*p - w*p + 20. Calculate the least common multiple of 6 and p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -1611 + 1616. Solve -5*n + 0*n = 0, 0 = s*v - 2*n - 15 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x - 8 = 5*i - 5*x, -x = -i - 4. Suppose i = -4*h + 2*h + 30. What is the remainder when h is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2202790323?\nAnswer: 3, 29, 25319429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(88)\/sqrt(64)*6)\/(-4*2*sqrt(1331)).\nAnswer: -3*sqrt(2)\/176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) be the first derivative of -13*z**2\/2 + 98*z + 223. What is the remainder when r(-4) is divided by 32?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) -1\/5  (b) -869  (c) -0.4  (d) -0.09  (e) -3  (f) -0.18\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2 - (-2 + 1 + (1 - 0)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 88\/20 + (-4)\/10. Suppose -d*t - 26 = -2*n - 0, 5*n - 4*t = 41. What is the first derivative of -n - 2*r**3 + 1 - 2*r**3 wrt r?\nAnswer: -12*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -6*n**3*v + n**3 - 105*n*v wrt n?\nAnswer: -36*n*v + 6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m = m - 20. Suppose 5*j - 2*u = -3*u + 17, -5*u + m = 0. Suppose 2*s + j*s - 10 = 0. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 105980603 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.01 + 1.99. Let u = y - 3. Let r = u - -1.2. What is the nearest to r in -3, 2\/19, -0.4?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together -2258.4 and -26.\nAnswer: -2284.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 16, -1, 770.\nAnswer: -1, 4, 16, 770","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {l: 7}. What is prob of sequence lll?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -19150676.99921 + 19150866. Let u = q - 189. Round u to 4 dps.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify o**(-2\/31)*o*o\/(o\/(o\/o**(-2)))*o*o assuming o is positive.\nAnswer: o**(184\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 12500, 25106, 37720, 50342, 62972, 75610?\n\"Answer: 4*d**2 + 12594*d - 98","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in 2\/6049341, 0, -5, -2, -13?\nAnswer: 2\/6049341","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 57452225?\nAnswer: 5, 2298089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 2683 greater than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2307 - 4604 + 2295 + 4116*i**3 + (-i**3 - 3*i**3 + 5*i**3)*(-1 + 5 - 2).\nAnswer: 4118*i**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 13745?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 x and 2 c when four letters picked without replacement from xzooooxcocozozo.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m be ((-940)\/(-1))\/(2\/400). What is m rounded to the nearest 100000?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-11*k + 11*k + 23*k)*(-k**2 + 0*k + 0*k) - 47 + 3 - k**3 + 14 + 2*k**3 - 8 to w*k + r*k**3 + g + m*k**2 and give r.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 7\/(-5) - 2\/(-5). Let m(j) be the first derivative of -1\/3*j**3 + 0*j - 2*j**4 - 7 - 1\/2*j**2. Determine m(r).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -z - 165*k = -186*k + 53, 0*z + 2*z - 2*k = k + 11 for z.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = f**3 + 8*f**2 + 10*f - 14. Determine u(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 901 - 440. Let g = 932 - c. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-2)\/(0 - 4)*-10. Let l be d\/((-50)\/(-4))*-5. Let f = l - -17. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xwxx when four letters picked without replacement from {w: 1, q: 2, x: 14}.\nAnswer: 13\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 2015393 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 3?  (a) 4  (b) -1\/2  (c) -0.03  (d) 3\/2  (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -312.9 + 313.4. Which is the nearest to 1\/5?  (a) q  (b) 0  (c) 0.2  (d) 23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6 + (24 - 29 - (-2 - -7 - 2))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24*i - 2071 = 1457. Suppose 2*t = -3*x + 56, 4*t = 2*x + 163 - 67. Calculate the remainder when i is divided by t.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2202 = -161*x - 111*x + 382*x + 2*u, 4*x - 76 = 4*u for x.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Round 34.09 to 0 decimal places.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert 32177.28 centimeters to nanometers.\nAnswer: 321772800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2 + i**2 - 1937*i + 1 + 1.\nAnswer: i**2 - 1937*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g + m = -42399, -229*g - 2*m = -232*g + 127194. What are the prime factors of g?\nAnswer: 2, 3, 3533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 16.8 + -16.5. Put -1, 1, -1\/3, c in increasing order.\nAnswer: -1, -1\/3, c, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (f - f - 2*f)*(-6*f**3 + 2*f**3 + 2*f**3 + (2*f**3 + 1 - 1)*(-2 + 4 + 5) + 7*f**3 - 12*f + 12*f) to c*f**3 + i + v*f**4 + p*f**2 + z*f and give v.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 33818 is divided by 85.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Divide 4 by 1025581.\nAnswer: 4\/1025581","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sum 1234502 and 55.\nAnswer: 1234557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 460028859 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) be the second derivative of -o**5\/20 - o**4\/12 + o**3\/6 + 56*o**2 + 9*o - 1. What is the units digit of d(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when (5 + -6)*1*-7 is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is five sixths of a hour in minutes?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t + 680 = 4*o, -819 = -5*o - t + 25. Does 56 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 10\/9 of a day?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 9235 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -3*3\/9*-25. Suppose -2*f - 650 = -2*n - 200, f = 2*n - 450. What is the highest common factor of n and u?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -46\/49 and 64\/21.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-14)\/70 + (4\/5)\/(-1). Calculate the remainder when 173 is divided by 11 - 0\/(g - 1).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 42.16 + 0.84. Let k = 9 + i. Let s = k - 50.85. What is s rounded to 1 dp?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do 2 and 231591\/22 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = -2*l + 46. Let r be u(21). Suppose -3*x + 27 = -3*f, -16 = -4*x - 5*f + r*f. Put 3, -4, x, -5 in increasing order.\nAnswer: -5, -4, 3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -10*j + 3*j + 28. Suppose -2*f - 3*n = -6*f - j, -3 = 3*f - n. Let c = 38.5 + -38. What is the second biggest value in c, f, 0.2, 2\/13?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + sqrt(11)*-2 - (-4 + sqrt(55)\/sqrt(5))**2.\nAnswer: -31 + 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 x when three letters picked without replacement from {x: 3}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((x*x**(-11)*x**(-2\/23)\/x)\/((x\/(x*x**8))\/(x*x**(3\/10))))**(-1\/27))**(2\/51) assuming x is positive.\nAnswer: x**(137\/52785)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 8925356 rounded to the nearest 10000?\nAnswer: 8930000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l be -2 - (1\/(-1) + 8). Let k be (-27)\/(-6)*(-12)\/l. Calculate the greatest common divisor of k and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 40165512 to the nearest integer?\nAnswer: 342","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 11279634?\nAnswer: 2, 3, 1879939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 34 and 60?\nAnswer: 2040","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0 + 2909*w**3 + 0 - 692*w**3 - 1432*w**3.\nAnswer: 785*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -47*s + 47*s + 3*s**2.\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 divided by -89.\nAnswer: -3\/89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 75268 is divided by 588?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) be the first derivative of -13*b**4\/4 - 17*b - 14. Differentiate t(r) wrt r.\nAnswer: -39*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25*r - 8 + 120 = 12. Let l = 6370 + -4541. Suppose -l - 519 = -r*d. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*l - l + 12 = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (5\/2)\/(2\/(-8)). Let h be (-18)\/z - (-1)\/5. Solve -h*d = d + 12 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = 4*d + 352. Let w be u(-18). Calculate the greatest common divisor of 360 and w.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = 25*q - 244. Determine c(10).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o = -5*u - 8 - 3, 1 = 2*o + 5*u. Find the third derivative of -q**5 + 26*q**5 - q**5 + 0*q**2 - o*q**2 wrt q.\nAnswer: 1440*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4\/7*o**2 - 2\/7*o**3 + 0 + 0*o.\nAnswer: -2*o**2*(o + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) be the third derivative of -1\/2*c**3 + 3*c**2 + 0*c + 0 + 1\/12*c**4. What is the first derivative of y(u) wrt u?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 18\/5 of a micrometer?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -m**3*u - 17830636*m**3 - 16587097*m*u - u wrt u.\nAnswer: -m**3 - 16587097*m - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w - 3 = -4*f, -2*f - 12 = -3*w + w. Suppose 0 = 3*y + 3*j + w, 4*y + j + 2 = 2*y. Find the first derivative of y + 1 - 2*z + 0*z wrt z.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -66 = -2*y + 4*d + 46, -8 = -4*d. Calculate the smallest common multiple of y and 20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -20.04 + 0.04. Let t = d + -14. Let b = t + 29. What is the second biggest value in -2\/5, -1\/3, b?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 243 - 242. Sort 0.4, z, 91, -1\/5 in increasing order.\nAnswer: -1\/5, 0.4, z, 91","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -237 - -237. Let d be -2*(35\/(-14) + w). Solve -3*j + 2*j + 1 = -2*y, -d*y - 22 = 4*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*s + 4*d - 841 = 9*d, -1046 = -5*s + d. Which is bigger: s or 201?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*(sqrt(684) + 2 + 2) + ((sqrt(152)*2 + sqrt(152))*-1)\/(sqrt(64)\/sqrt(2) - sqrt(8)))**2.\nAnswer: 672*sqrt(19) + 8635","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1 - 0)*1\/((-5)\/10).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = 597*z**4 - 7*z**3 - 7*z + 295. Let m(y) = -398*y**4 + 5*y**3 + 5*y - 197. Let u(i) = -5*b(i) - 7*m(i). Differentiate u(h) wrt h.\nAnswer: -796*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -135995*z**4 - 480867*z**2 wrt z.\nAnswer: -3263880*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = 3*n**2 - 2*n. Calculate b(-2).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 140788 a multiple of 122?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*w - 2*w - 5*w)*(162*w + 285*w + 212*w).\nAnswer: -1977*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 18*n - 22*n + 12. Sort -1, n, 28 in decreasing order.\nAnswer: 28, n, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u + 8 = 0, c - 2*u = -0*c + 87. Suppose 2*t = 5*x + c, 3*x = -x - 2*t - 62. Let y = x - -21. Solve 0 = 4*z + 3*g + 23, 4*z - 5*g + 11 = -y for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1373896 (base 10) to base 14.\nAnswer: -27a996","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-12)\/(-28) - 4\/14*(-8)\/(-80). Which is the second biggest value?  (a) -207  (b) -0.5  (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-34)\/(-3)*(-6)\/(-2). Let m(c) = -c + 18. Let a be m(9). Let r = v - a. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = -1. Let p(b) be the second derivative of 0*b**3 - 1\/2*b**2 + 0 - 1\/12*b**4 + b. Calculate 2*p(n) - z(n).\nAnswer: -2*n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a = -8, -a + 11 = o - 2*a. Let y = 5 - o. Let w be y\/(-8)*(-3 - -1). What is the nearest to -0.2 in 5, -2\/3, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 41019153?\nAnswer: 3, 7, 647, 3019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 277.73451 rounded to one dp?\nAnswer: 277.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) -2\/3  (b) 5\/11  (c) 56  (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1114696367?\nAnswer: 941, 1184587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-51)\/21 + (-3)\/(-7). Let k(t) = 3*t + 2. Let p be k(n). Let l(y) = -y**2 - y + 3. Determine l(p).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.103 + 0.014. Let g = w + 26.089. Let m = 25 - g. Which is smaller: m or 10?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when (-4115)\/(-5) - 7\/(42\/(-24)) is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 897111271?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand 15 - 14*i**2 - 15 + (2 - 2 + i)*(i + i + 0*i).\nAnswer: -12*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -4200, -8511, -12860, -17247?\nAnswer: -21672","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -4  (b) -0.04  (c) -5  (d) 23.14  (e) 4  (f) 3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 212110952.\nAnswer: 2, 541, 49009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = -15*h + 3. Give y(-3).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 692 minutes after 3:30 AM?\nAnswer: 3:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert 14.61228 millilitres to litres.\nAnswer: 0.01461228","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = -3791*v - 398. Let a(z) = -1895*z - 177. Let o(q) = -9*a(q) + 4*k(q). Let m(h) = 2*h**2. What is o(m(s))?\nAnswer: 3782*s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g*(g**2\/g)\/g)**18*g\/(g*g\/g**(2\/5))*g*g**(1\/20) assuming g is positive.\nAnswer: g**(369\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-13)\/(-2) + -1)*(147\/1078)\/(4011\/56)?\nAnswer: 2\/191","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = -6*a**2 + 17*a - 2. What is c(8)?\nAnswer: -250","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*u + 423 = 1791. Suppose -2*s = -7*s - 330. Let h = s + u. What is the tens digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = 6*y + 1. Let r = -5 - -4. Let l be j(r). Let h be l\/(-2)*36\/(-45). Which is smaller: h or -1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -4.076 + 1862.\nAnswer: 1857.924","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 40 is divided by -4 - -1 - (-102)\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 23 - 25. Let w(l) = l + 4. Let z be w(s). Suppose -4*n = -z*n - 118. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -86*i = -79*i - 42 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 34431 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2122 (base 3) to base 12.\nAnswer: 5b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (108*z + 297*z + 10*z)*(-z**3 - 4 + 4).\nAnswer: -415*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Does 265 divide 543123624?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -22338, -44677, -67020, -89367, -111718, -134073, -156432?\n\"Answer: -2*m**2 - 22333*m - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0000898347 rounded to five dps?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round -6550557 to the nearest one thousand.\nAnswer: -6551000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (2 + 4)*1 - 1. Suppose 3*j - i*q = 28, -5*j - 3*q - 13 = -3. Let d be (-90)\/((-3)\/j) + -1. What is the highest common factor of 87 and d?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 2 + -51326040?\nAnswer: -51326037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = -o**2 - 3*o + 152. Let c be p(-15). Let u be (6 - (-45)\/(-7))\/(4\/c). What is v in -1024\/5 - 2\/5*v**u - 384\/5*v - 48\/5*v**2 = 0?\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*l - 8216760 = 91165. Suppose 3*n - l = 2238415. Round n to the nearest 100000.\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor c**2\/5 + 242072*c\/5 - 16707729\/5.\nAnswer: (c - 69)*(c + 242141)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -324441174 divided by -66226.\nAnswer: 4899","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 6 and 15244?\nAnswer: 45732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 50 - 1. What is the smallest common multiple of 4 and v?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = -v**3 - 3*v**2 - 3*v + 4. Suppose -3*y = -3 + 12. Calculate m(y).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 123*h**3 + 139*h**2 - 2 wrt h.\nAnswer: 738","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 1110 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -47 - 15*a + 46 - a + 4*a to the form c + f*a and give f.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express (-z**3 - 4*z**3 + 3*z**3)*(-3 + 1 + 0*z - 2*z)*(-984 - 826 + 1391) in the form w + y*z**3 + u*z**4 + m*z**2 + b*z and give y.\nAnswer: -1676","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*l**3 + 2*l**3 - 2*l**3.\nAnswer: -2*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 2728 bigger than 25623?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-7)\/((-42)\/15)*-2. Let m be z\/((-2)\/(-8)*-2). Solve v = 3*v - m for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 131*y + 178*y = 180*y - 516 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 14\/392*14 + 0. What is the second smallest value in 0.0497, -1\/11, -0.4, o, 0.1?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-8)\/(-7)*(-63)\/9?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*r + 2*f - 2432, -2*r = -3*r - 4*f + 1210. Let v = -1272 - -2494. Suppose 0 = d - 2*d - 3*u + v, -r = -d + u. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = r**2 - 6*r + 5. Let d be t(0). Sort d, -4, -2, -7 in decreasing order.\nAnswer: d, -2, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) be the third derivative of -5\/12*l**4 + 0*l**3 + 0*l - 123*l**2 + 0. Let p(k) = 6*k**2. What is p(o(g))?\nAnswer: 600*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -23302 + 21003230?\nAnswer: 20313322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -3484\/7 or 195?\nAnswer: 195","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Express -32*n**2 + 30*n**2 - 5*n**3 - 4*n**3 - 7*n - 24*n**3 - 2*n**4 as d*n**4 + w*n**2 + z*n + m + q*n**3 and give q.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 144*v**5 - 2*v**4 - 58*v**3 + 2*v**2 - 15083*v - 3.\nAnswer: 8640*v**2 - 48*v - 348","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = p**3 + 4*p**2 + p + 4. Let u be w(-4). Let m = 8.42 - 8.72. What is the third smallest value in -0.4, m, u, 2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 13\/2?  (a) 5  (b) 4\/7  (c) -0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Divide 212 by -212.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*r + 16, 5*r = -0*j - 5*j. Let h be ((-10 - -6) + 5\/1)*j. Put -0.4, -5, -1, h in increasing order.\nAnswer: -5, -1, -0.4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -56 = -9*k + 4*k - 2*f, -2*k + 14 = 5*f. Suppose k*d + 14*d = -26. Which is greater: -6 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r - 12 = -4*t, -2*t + 2 - 4 = 0. What is the second biggest value in 3, r, -5\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w - 2*w = -4*a - 1, 2*a + w = 7. Find the third derivative of 38*x**3 + 787 + 9*x**a - 787 wrt x.\nAnswer: 228","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = 5968*y**3 + 48*y**2 + 16*y. Let w(j) = 1989*j**3 + 15*j**2 + 5*j. Calculate -5*u(h) + 16*w(h).\nAnswer: 1984*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 234, -537, 25, -5?\nAnswer: -537","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-6*z**2 + 4*z**2 + 5*z**2)*((-1 - 1 - 2)*(-2*z**2 - z**2 + 2*z**2) + (0 + 0 - z**2)*(-1 - 3 + 7)) to d*z**4 + h*z**2 + p*z**3 + a + g*z and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.02113777905 to three dps.\nAnswer: 0.021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -128 + -1989\nAnswer: -2117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -1566, -1427, -1264, -1065, -818, -511, -132, 331?\n\"Answer: 2*s**3 + 125*s - 1693","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = 4122*k**2 + 13*k - 4121*k**2 - 2*k - 2. Let m(p) = -p**2 - 11*p + 1. Give 3*m(j) + 2*s(j).\nAnswer: -j**2 - 11*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -525643\/135 + 3894. Calculate the common denominator of r and 133\/450.\nAnswer: 1350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 36930414 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -6 + 5.6. Let w = -45 - -44. Let g = 713\/495 + -4\/99. Which is the third biggest value?  (a) g  (b) w  (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*s**3 + 4*s**3 + 0*s**3 + 0*s**3.\nAnswer: 8*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 0.23  (b) 364  (c) 22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = 18*v**2 + 3*v - 10. Let a be b(-5). Suppose -3*f - 413 = -2*c, c + f = -c + a. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {m: 4, x: 8, u: 2, i: 2, z: 4}. What is prob of sequence iiz?\nAnswer: 1\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 624 minutes after 1:25 AM?\nAnswer: 11:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i - 536 = -41. Suppose 5*k - 434 = 5*a + k, -4*a - 3*k = 341. Let m = a + i. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 310 - 538. Let a = -224 - v. Solve 5*r - 3*t = -a*t - 5, 0 = -2*r - t - 2 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence bfm when three letters picked without replacement from {m: 1, g: 2, b: 1, f: 1, i: 1, s: 1}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-7)\/(-84) + (-6)\/(-72).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4282549471 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -j + 176964003268 - 176964003268.\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*c**3 + 0*c**3 + c**3)*(3352*c - 3*c**2 - 3382*c + 1 + 2*c**2).\nAnswer: 3*c**5 + 90*c**4 - 3*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.5 and 0.0385.\nAnswer: -0.01925","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 3, 9, -1 in increasing order.\nAnswer: -4, -1, 3, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 7 + (4 - (11 + -8) - -2) + 6.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -31260, -31264, -31268?\n\"Answer: -4*c - 31256","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -0.2  (b) -1\/8  (c) -1  (d) 2.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (51 - 7)\/(-2*(-2)\/16)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 12  (b) -4  (c) 1  (d) -44609  (e) -47\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 176 is divided by (-2532)\/(-48) - ((-11)\/(-4) + -2)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-2)\/(-3*3\/783). Let k be ((-10)\/(-75)*-3)\/(d\/(-15)). Do -2 and k have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2832\/(-1298))\/(8\/(-132)).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express (b + 2*b - 2*b)*(-83 + 2 + 13) in the form f*b + d and give f.\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Does 47 divide 2434?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-32)\/(-48)*10254\/4. Let a = z + -348. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 2549, 10213, 22987, 40871?\n\"Answer: 2555*a**2 - a - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-1336)\/(-16) + (-2)\/(-4). Suppose n - i = -3*n. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 6.66 + 1.34. Is 18 less than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 20 = 5*j, 54 = f + 2*j + 51 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -29 - -43. Let q = 3 - -15. What is the lowest common multiple of y and q?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 1\/6  (b) 19  (c) -0.18  (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -32*o + 362*o = 37096120 + 12821330. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify m**(-16)\/m*m*m**(-35)\/m*m assuming m is positive.\nAnswer: m**(-51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -9717 - 2093.\nAnswer: -11810","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -504, -978, -1450, -1920, -2388?\nAnswer: -2854","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = v**3 + 21*v**2 + 11*v - 27. Let n be m(-19). Suppose 4*o - 6 = 14. Suppose -h + n = o*h. Does 27 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -996, 5, 120, -3 in increasing order.\nAnswer: -996, -3, 5, 120","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 11390 - 11268. Calculate the remainder when 911 is divided by j.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = -4*b + r + 11, 5*b + 5*r = 5. Is 3 + -68*b\/(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {z: 2, v: 1, x: 3, n: 3, f: 1, c: 3}. Give prob of picking 2 x and 2 z.\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -4668*d**2*i**3*o**3 - 381*d**2*i**3*o - 2*d*i**3*o**2 + 9*d*i**2*o**2 - 3*d*i**2 - 1653*d*i*o + 11*i*o**3 + 14*i*o wrt d?\nAnswer: -9336*i**3*o**3 - 762*i**3*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (180 - 186) + 32 + 0. Solve -w*q + 28*q = 4 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1102\/7 - -158. Factor v - 6\/7*p + 2\/7*p**2.\nAnswer: 2*(p - 2)*(p - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -11.86 + 13.86. Let o = -72 - -1514\/21. What is the closest to o in 4\/7, 3, z?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 172545567?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -0.04801*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Does 36 divide 218703997?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-30)\/75*5\/8.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 29 - 23. What is the common denominator of (-86)\/(-4) - (-3 + p) and -23\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 5705765?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:54 PM and 7:42 PM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 13098256 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Convert 6385 (base 11) to base 4.\nAnswer: 2003322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) be the second derivative of -5*p**3\/6 - 10*p**2 + 19*p. Let i be m(-5). What is the derivative of -6*a**4 - i*a**4 - 2 + 4 - 6*a**4 wrt a?\nAnswer: -68*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -36 divided by 65772\nAnswer: -1\/1827","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sum -382 and -22.\nAnswer: -404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 67679501 to the nearest integer?\nAnswer: 408","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -52209.564 rounded to the nearest ten?\nAnswer: -52210","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -0.03 + -1.97. Let f = -241145\/7 - -34449. Which is the nearest to -0.1?  (a) f  (b) x  (c) 1\/3  (d) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -15*h**4 - 17 + 79*h + 10 + 8 wrt h.\nAnswer: -180*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2 in 2\/13, 8, 5, -0.5?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (320\/16)\/5*(245\/(-1386))\/(-35)?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = -2*d - 8*d**2 - 2*d**3 - 20*d**2 + 29*d**2 + 2. Let i(o) = -9*o**3 + 6*o**2 - 11*o + 11. Let y = 9 + -7. Determine y*i(s) - 11*x(s).\nAnswer: 4*s**3 + s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = -2*n**2 + 83*n - 308. What is b(40)?\nAnswer: -188","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h - 4*h + 1540 = -6935. What is the highest common divisor of h and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1410920 and 42000.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = f**2 + f - 1. Suppose q = -q - 2. Let j be 0 + -1 - (q - 2). Let k(b) = -3*b**2 - 2 + j + 3 - 2*b. Give -2*k(n) - 4*r(n).\nAnswer: 2*n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = 3*q - 3. Let t(w) = 6*w - 5. Suppose 358*u + 30 = 364*u. Let f(a) = u*y(a) - 3*t(a). Let m(i) = 4*i. Calculate m(f(j)).\nAnswer: -12*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -18 = 3*p - 2*m, -90*p + 2*m = -92*p - 2 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 33 and 2409.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve x - 4*w - 706 + 707 = 0, -3*x = 12*w + 3 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3041707650?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) be the second derivative of 0*c**2 + 0 - 1\/3*c**3 + 25*c. Let y(m) = 6*m. Give w(y(q)).\nAnswer: -12*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 5 + -503?\nAnswer: -498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 22 at least 1533?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -170 = -5*a - 5*k, -3*k - 142 = -5*a - k. Let u = a - 17. What is the greatest common divisor of 91 and u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = -7*q + 5. Let a(z) = -z + 1. Let j(x) = 2*x - 2. Let k(m) = 5*a(m) + 3*j(m). Determine -6*k(f) - w(f).\nAnswer: f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Divide 12712 by 11.\nAnswer: 12712\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 100110011 - -111110110110101?\nAnswer: 111111011101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-3)\/12)\/(220430\/(-26320)).\nAnswer: 2\/67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 264 and 24.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1220100 (base 3) to base 8.\nAnswer: 2552","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v be -1 - (1 + (0 - 1)). Calculate the common denominator of 33 and v + 2 + (-260)\/(-12).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 4 - 317423237?\nAnswer: -317423233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*u - 12 + 32 = 3*s, 0 = -4*s for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 53 - 52.996. Let k = 0.196 + g. What is the biggest value in -0.3, k, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = 3*t**3 + 14*t**2 - 8. Let i(h) = -h**3 - 5*h**2 + 3. Let k(l) = l**3 - 6*l**2 + 7*l - 7. Let a be k(5). Determine a*y(c) + 8*i(c).\nAnswer: c**3 + 2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*p + 4*x = 29, -p = -0*p - 2*x + 7 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = -7*t + 35. Let d be o(5). Is -4\/35 not equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 380 by -76.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = k**2 - 9*k - 6. Let g be a(9). Calculate the common denominator of -33\/8 and g*8\/(-9)*1\/(-2).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2789 is divided by 31.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -4, 2\/5, 20 in ascending order.\nAnswer: -4, -2, 2\/5, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*g + 48 = 15*g. Let l be g\/14*(16 + -9). Let f = -45 - -47. Solve l*v = f*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-4)\/14 - 16\/(-7). Let g(z) be the first derivative of -2*z**w + z + 0*z + 2*z - 2 - 2*z. Give g(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: (44\/105 + 2\/(-15))\/((-231)\/49 + 9)\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 566 - 568. Let w = 19 + -31. Sort w, -3, t in descending order.\nAnswer: t, -3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 172232 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 1040\/1071 - -2163865\/126378. Let m = 46\/177 - t. Calculate the common denominator of 30\/11 and m.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 681 is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express (-t + 2*t - 2*t)*((t**2 - t**2 - 2*t**3)*(1 - 1 - 1) + 564*t**3 - 16571*t**2 + 16571*t**2) as y*t + f + v*t**3 + d*t**2 + c*t**4 and give c.\nAnswer: -566","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 90 minutes before 7:00 PM?\nAnswer: 5:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-84)\/(-42))\/(-5 + 1\/((-91)\/(-441)))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*g + 0*g = w - 15, -3*w + 17 = -5*g. Let p = w + 1. Solve -f + p*f = -2*r - 2, 4*r + 5*f = 10 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*a - 25 = -a. Let d = -6566.2 + 6566. What is the closest to 1\/3 in a, -5, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add -31516.15478 and -1.\nAnswer: -31517.15478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u\/(u\/(u\/u**(-10\/7))))\/((u\/(u\/(u\/((u\/(u*u**(-1\/18)))\/u))*u))\/u))**35 assuming u is positive.\nAnswer: u**(1565\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = -d - 9. Let k be p(-7). Suppose 1080 + 220 = 4*q. List the prime factors of q\/20 - k\/(-8).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) be the third derivative of y**5\/60 + 4*y**4\/3 + 8*y**3 - 110*y**2 + 2*y + 13. Calculate o(-30).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b + 16999 = 2*l + 5327, l - 5836 = -2*b. What are the prime factors of l?\nAnswer: 2, 1459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 202*j = -970 - 554 - 698 for j.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(480)*2)\/((-1*sqrt(50))\/sqrt(5)))**2.\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 699, 1388, 2065, 2730?\n\"Answer: -6*w**2 + 707*w - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 190975453 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-118)\/236)\/((-1)\/(-6))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*h - h + 4*i = 0, 0 = -4*h + 4*i. Suppose 0 = 2*w - h*w. Suppose w = 4*c + 19 - 107. What is the greatest common divisor of 11 and c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = -v**2 + 8*v - 6. Let s = 86 + -54. Suppose -s = -4*p - 4. What is the units digit of m(p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = c**2 + 2*c - 2. Let h(i) = -i**3 + 16*i**2 + 9*i - 14. Let y(p) = -h(p) + 5*x(p). Calculate y(11).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = 3*g**3 - g. Let d be (-2)\/(-4) + (-2)\/(-4). Let p be o(d). Suppose 199 = 3*q - p*q. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be -1 - (-14 + 53)\/13. Which is the smallest value?  (a) -2\/9  (b) 3  (c) t  (d) -2\/3  (e) 0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 992, 67, -3.3 in increasing order.\nAnswer: -3.3, 67, 992","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: (21 - -1) + 377 + -381\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s - 84*b - 67 = -79*b, 2*s + b - 90 = 0. Solve -31 = 13*u + s for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -41 - -45. Let a be ((-528)\/15)\/(-8)*(0 + -5). Let u = 6 - a. What is the lowest common multiple of g and u?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -30031041 (base 5) to base 3\nAnswer: -110000021102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 283 minutes before 10:50 PM?\nAnswer: 6:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 62920220?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = 6*f - 8. Let i(p) = -3*p + 4. Calculate -5*i(u) - 2*y(u).\nAnswer: 3*u - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1 or -6825\/80467?\nAnswer: -6825\/80467","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 177521 is divided by 201?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = -14*a**2 + 874*a + 507. Let m be 1*(-150)\/(-2) - -2. Let t = m + -43. Calculate the lowest common multiple of w(63) and t.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {w: 11, j: 1, i: 1, v: 4, c: 2}. Give prob of sequence ic.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = 5*t + 1. Let r be t - -2 - (-164)\/(-52). Which is smaller: -1 or r?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*z**4 + 25*z**3 - 15*z**2 - 25*z + 20.\nAnswer: -5*(z - 4)*(z - 1)**2*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 45*i - 43*i. Solve i = -5*y - 29 + 4 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 23015 + -a?\nAnswer: 23006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) be the third derivative of -z**4\/6 - 17*z**3\/6 - 29*z**2. Let h be p(-4). Let w be (h\/2*-1 + -2)\/(-9). Put -1\/3, 26, w in descending order.\nAnswer: 26, w, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = 2*a**2. Suppose -2*z - 105 = -q - 7*z, 25 = 5*z. Let s(m) = -63 + 13 + 39 + q*m + 11. Calculate s(h(k)).\nAnswer: 160*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -847 or 2655?\nAnswer: -847","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k**0)**(-1)*(k\/(k\/k**(1\/2)))\/(k*k**(4\/7)))\/(k*k\/k**8*((((k\/(k*k**(6\/11)*k))\/k)\/k*k)\/k)\/k)**(6\/13) assuming k is positive.\nAnswer: k**(7599\/2002)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = -123*i - 2621. Calculate d(-21).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/16, 0, -1, -46\/3, -0.2, 3\/4.\nAnswer: -46\/3, -1, -0.2, 0, 1\/16, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 >= 2\/235458589?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n + 6 = 4*v - 9, -10 = -3*v + n. Suppose 3*j - 15 = v*g, -3 = 4*j + g + 2. Let p = 52 - 42. Solve r + r + p = j for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 19421?\nAnswer: 19421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 1563 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = -p + 7. Let f(k) = 7*k**2 + 2*k + 1. Let v be f(-1). Let d be a(v). What is the smallest value in 0, d, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = 2*i**2 - 121*i - 809. What is t(-6)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*r - 1060 = 2151. Suppose 0 = i - 2*c - 98, 3*i - r = c + 72. What is the smallest common multiple of 18 and i?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 31 + -26. Let z(q) = q**2 - 2*q + 2. Let j(l) = 3*l**2 - 5*l + 5. Calculate u*z(b) - 2*j(b).\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -1.055 - -0.055. Suppose 0 = -0*a - 2*a + 10. Let q = a - 10. What is the closest to -0.1 in h, q, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) be the third derivative of 1\/240*a**6 + 18*a**2 + 13\/12*a**4 - 7\/120*a**5 + 0*a + 0 + 0*a**3. Let u(j) be the second derivative of z(j). Give u(-5).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) be the third derivative of -697*b**5\/6 - 6965*b**4\/24 + 5*b**3\/6 - 91*b**2 - 12*b. Factor m(c).\nAnswer: -5*(c + 1)*(1394*c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ggw when three letters picked without replacement from ggwwgw.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert 554 (base 7) to base 4.\nAnswer: 10130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of w**2 + 0*w**2 + 3*w**3 + 6*w**2 - w**3 wrt w?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 17.79787 millennia in decades?\nAnswer: 1779.787","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -10812224, -10812223, -10812222, -10812221, -10812220?\n\"Answer: j - 10812225","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -5181, -10370, -15585, -20826, -26093, -31386, -36705?\nAnswer: -42050","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) be the third derivative of -f**5\/20 - f**4\/12 + f**3\/3 - 2*f**2. Determine b(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 17 divide 28654401?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2*18\/54)\/1*93?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 1530 - 1527. What is the closest to -41 in -5, s, -3\/7?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*sqrt(12)\/(sqrt(24)*-2)*-3)**2.\nAnswer: 81\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 6\/1831 + 1603\/69578. Let v(x) be the first derivative of 0*x**3 + u*x**4 + 23 + 12\/19*x - 7\/19*x**2. Determine k, given that v(k) = 0.\nAnswer: -3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) be the first derivative of h**4\/12 + 2*h**3\/9 + h**2\/6 - 5. Suppose y(r) = 0. What is r?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -2\/1356771 + -22712\/326077297. Let b be 2305750\/112476 - 2\/3. Let z = b - r. Find the common denominator of 29\/5 and z.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = -2*n**3 - 9*n**2 - 8*n + 17. Is z(-8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-40)\/6)\/(8420\/(-88410))?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 5*k**2 - 811*k + 2430*k - 811*k - 816*k + 2*k**3 + 27*k**4 to the form s*k**4 + r*k**2 + q + n*k**3 + b*k and give s.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i = -c - 11, 0 = -5*c + i - 13 - 26. Let d be ((-2)\/(-3))\/(c\/(-48)). Solve -4*v + d = -4*h, 3*v = 5*v + 4*h - 2 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 minus 80.57522?\nAnswer: -82.57522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -a1 (base 13) to base 10\nAnswer: -131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-2)\/(-8) + (-42)\/8. Let v be ((-21)\/35)\/(1\/p). Let g = 6 - v. Solve g*n - 2 = n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 192 = 54*g - 24 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 57*q**3 - 5*q**2 + 2*q + 564.\nAnswer: 342*q - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f**5\/2 + 10*f**4 + 25*f**3\/2 - 355*f**2 + 910*f - 676 = 0. What is f?\nAnswer: -13, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -1111 + 2?\nAnswer: -1102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -5083\/3 - -1699. Suppose 4\/3*l**2 + 10\/3*l**4 - p*l**3 + 0*l + 0 = 0. What is l?\nAnswer: 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {c: 1, r: 3, y: 2, i: 1}. What is prob of sequence rrc?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1365 - 5382 - 5792 + 502)*(6*x - 5*x - 7*x).\nAnswer: 55842*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Put 4\/5, -8, 0.3, 2, 5 in descending order.\nAnswer: 5, 2, 4\/5, 0.3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from gggngnnggggg. Give prob of picking 3 n.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 30067 and 214.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 l, 1 s, and 2 j when four letters picked without replacement from {t: 1, j: 6, l: 3, s: 3, e: 1}.\nAnswer: 135\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 34856930*a**5*p**2 + 21952*a**2 + 395*p**2 wrt a.\nAnswer: 2091415800*a**2*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 = 4*x + 5*g, -5*x - 4*g + 5*g = -27. Suppose 5*z - 32 = x*f - 12, f = -4*z + 11. What is the highest common factor of z and 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**(-1\/4)\/a**(1\/7))\/((a\/a**(1\/10))\/a**(2\/3)) assuming a is positive.\nAnswer: a**(-263\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16 = 4*y, 2*z = 2*y + y + 16. Let t be 0\/(-1) - (2 - 2). Let p = z - t. Solve p*b + 5*u - 4 = 9, 15 = 5*b - 5*u for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) be the second derivative of i**3\/6 - 3*i**2 + 6*i. Let h be c(7). Suppose -2*n = 3*u + 8, -2*u + 2*n = -2 - 6. Solve 5*v - h - 4 = u for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 12173*c**2 - 5246*c**2 - 7470*c**2.\nAnswer: -543*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 403 - 400. Suppose r*j - n = 5*j - 8, 5*n - 28 = -4*j. Solve -a - j*a - 12 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {e: 2, d: 2, o: 1, i: 2, u: 1}. What is prob of sequence do?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -53\/726066 and -41\/1098.\nAnswer: 44290026","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Are -3\/14 and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) be the third derivative of -v**6\/160 - v**5\/5 + 19*v**4\/8 - 10*v**3 + 205*v**2. Factor c(s).\nAnswer: -3*(s - 2)**2*(s + 20)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.1, -1, 251, 21, 2 in descending order.\nAnswer: 251, 21, 2, 0.1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from kkkkkaaa. Give prob of picking 2 k.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = -q + 12. What is u(-9)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = -s**3 + 3*s**2 - s - 1. Let v be 20\/(-6) - (-5)\/15. Let y be 3 + v - (0 - 2). Let b be i(y). Is b less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -651 + 654.17. Let h = 0.09 - y. Let v = h - 0.12. Round v to zero decimal places.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = -143895*t - 143889. Calculate o(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.21 at least 73638?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"}
{"text":"Question: Let k = 75 + -54. What is the third derivative of k*u**2 + 46*u**2 - 9*u**2 - 72*u**4 wrt u?\nAnswer: -1728*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 189 and 62991.\nAnswer: 440937","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 238 minutes after 11:29 PM?\nAnswer: 3:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from xlxlddyxxllllllx. What is prob of sequence xxx?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -54936.2 + 54936. Let n = -1 - -4. What is the smallest value in -1, n, p, 0.02?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6776308 a multiple of 449?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 4103278 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1.2981 - -0.7019. Sort 3\/2, -32.1, x in decreasing order.\nAnswer: x, 3\/2, -32.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p + 24 = 6. Sort -4, 1, p, 3 in decreasing order.\nAnswer: p, 3, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2523432?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 2 + (-20 - -13) + 527164 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 6 and 1\/(-5) - (-1136)\/80?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*1*sqrt(384))\/(3*sqrt(3)*4*6).\nAnswer: 2*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 164398?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i\/((i*(i**(-4\/17)\/i*i)\/i)\/i*i))\/i*i**28*i)**24 assuming i is positive.\nAnswer: i**(11928\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.06428596101 to 3 decimal places.\nAnswer: -0.064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = 1 + 0 - m + 1 + 6. What is the tens digit of q(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 67 is divided by -5 + (-6)\/(4*(-1)\/10).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 79964\/(-11) + 264\/(-484). What is g rounded to the nearest one hundred?\nAnswer: -7300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 481 minutes before 12:07 AM?\nAnswer: 4:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1819 + 1863 - 3682 + 10*b**3.\nAnswer: 10*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find l such that 5*l**5 - 260260*l**4 + 4509333380*l**3 - 25896158526250*l**2 - 1914887706015625*l + 1940779355468750 = 0.\nAnswer: -74, 1, 17375","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) be the second derivative of y**5\/45 - 5*y**4\/72 + y**3\/18 + 3*y**2\/2 + y. Let v(f) be the first derivative of m(f). What is l in v(l) = 0?\nAnswer: 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = -182*u + 2899. Give w(10).\nAnswer: 1079","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"}
{"text":"Question: Let k = 2 + -0.7. Let c = k + -1.8. Let w = -0.1 + 0.3. What is the nearest to w in 5, -4, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -l - 3*l - 2*l = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Round -108544.2 to the nearest one thousand.\nAnswer: -109000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 13032.296 - 13043.296062. Let i = 10.99 - -0.01. Let j = u + i. Round j to five dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -1016 - -1662. Let t = -323 + a. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 85 - 86. Let x = 17.38 + -0.38. Let n = x - 17.2. Which is the nearest to d?  (a) n  (b) 5  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.035 + 0.0350181. What is u rounded to six dps?\nAnswer: 0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 2989864931 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 32 and 602216?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 299, 2123, 5051, 9077, 14195, 20399, 27683?\nAnswer: 36041","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20 = -13*o + 8*o. Let l(r) = 3*r**2 - 3*r + 2. Let f(z) = -8*z**2 + 8*z - 6. Calculate o*f(a) - 11*l(a).\nAnswer: -a**2 + a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 268.46 + -271.36. Put w, 41, 0.1 in decreasing order.\nAnswer: 41, 0.1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -11*k**3 + 5*k**3 + 4*k**3.\nAnswer: -2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 92\/6 + ((-1)\/18)\/(28\/168)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c\/(((c\/c**1)\/c*c)\/c))\/c*c*c\/(c*c**0\/c))**22*(c\/(c*c**(5\/3)*c)*c\/(c**(-3)\/c))**(-5\/8) assuming c is positive.\nAnswer: c**(1549\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"}
{"text":"Question: Let n = 488 - 492.35. What is n rounded to the nearest ten?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((d\/((d**(-1\/4)\/d*d)\/d)*d)\/d)\/d**(10\/7))\/(d\/d**(-3))**(-2\/101) assuming d is positive.\nAnswer: d**(2547\/2828)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*f + 12 = -d, -31*f + 27*f - 16 = 7*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -a = 2*a + 6, 10 = 2*w - 5*a for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (12\/60)\/((-1)\/(1\/1))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: (-22)\/4*40496\/(-55682)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = -v - 8. Let l be r(-11). Suppose 2 + l = o. Solve 0 = -5*d + a + 9, 4*d + 17 = -o*a + 1 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 9 + -6 + 2 + (-20 - -28)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 837 and 243?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 3 + 2012?\nAnswer: 2015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -1 - -5. Suppose 4*r + f = -0*f + 30, 24 = 4*r + i*f. Suppose -3 = -3*c, c - 31 = 3*x - r*x. Calculate the remainder when 22 is divided by x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 4800, 4830, 4870, 4920, 4980?\nAnswer: 5050","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*((sqrt(13) + sqrt(143)\/(sqrt(44)\/sqrt(4)) + sqrt(13))**2 + (sqrt(52) + 1)**2) - ((sqrt(143)*2 + sqrt(143))\/sqrt(11) - -2*sqrt(117)).\nAnswer: -680 - 25*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many kilometers are there in 8.556649um?\nAnswer: 0.000000008556649","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = -5*l - 3. Determine p(-3).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = c + 3. Let o(i) = 0*i - i - 3 + 5 + 2*i. Let y(u) = 2*k(u) - 3*o(u). Let h(a) = a**2 + 25. Calculate y(h(m)).\nAnswer: -m**2 - 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 65774 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 6620404 and 15008.\nAnswer: 1876","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Product of 1 and -0.46.\nAnswer: -0.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = b + 1. Let l be r(2). Suppose -l*c = -21 + 9. What is the remainder when 26 is divided by c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 m, 1 r, and 2 f when four letters picked without replacement from mmmmmmmmmmoomkrkkmmf.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = -s**3 + 4*s**2 + 3*s + 6. Let h be d(5). Let t be 3 - (-1)\/(-3 - h). Which is the second smallest value?  (a) -4\/7  (b) -0.1  (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 7\/2 of a century?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 8 and 19.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-6)\/(-5))\/((-6)\/(-20)). Suppose p*s = 1 + 11. Suppose h = -s + 8. Is h even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = 5110*a. Let u(m) = -53*m**2. What is u(w(y))?\nAnswer: -1383941300*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 12, 41, 88, 153?\n\"Answer: 9*w**2 + 2*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = 10*r + 9. Calculate t(-3).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) be the second derivative of -d**5\/20 - d**4\/3 + d**3 - 7*d**2\/2 - d. Let o be i(-6). Is 8\/10*(o - -6) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:39 AM and 5:55 PM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-1)\/((3*2\/(-87))\/10). Calculate the highest common factor of 29 and c.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u + 560 = 2*t - 2390, 0 = 4*u - 5*t - 2999. Calculate the remainder when 759 is divided by u.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -81096*n**2 + 2685*n wrt n?\nAnswer: -162192","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 + (-20)\/16*(-209)\/(-95).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 320*o + 1860 = 332*o. Let a = 623\/4 - o. Factor -1\/4*f**2 + 1 - a*f.\nAnswer: -(f - 1)*(f + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4 times 0.61\nAnswer: -2.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*g + 12 = 4*t, -787*g = 3*t - 783*g - 9 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -17 + 30. Is q a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -73, 47, 3, -96 in decreasing order.\nAnswer: 47, 3, -73, -96","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 135376019 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Add -121825395018089 and -3.\nAnswer: -121825395018092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/4, 2\/20507, -1\/33 in decreasing order.\nAnswer: 2\/20507, -1\/33, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-4)\/(-3)*(-18)\/4. Let y be (-2 + 1)*(-27)\/(-3). Find the common denominator of (-29)\/3 + y\/z and -29\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-17 + 17 - 20*s + 3*s + 0*s - 5*s + (0*s + 2*s + 0*s)*(-2 + 3 + 1) - 3 - 2*s + 3 - 5*s + 3*s + s + 2 + 2*s - 2)*(-2*s**2 + 3*s**2 + 0*s**2).\nAnswer: -19*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p - 5*q = 3, 2*q + 6 = 5*p - 2. Let a(j) be the first derivative of 2 - 2*j - 1\/3*j**3 + 0*j**p. What is the first derivative of a(c) wrt c?\nAnswer: -2*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1319707 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -25072*3.67\nAnswer: -92014.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -9992580 divided by -5980\nAnswer: 1671","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*b**2 + 2313188*b - 4626360 = 0. Calculate b.\nAnswer: 2, 578295","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 111 divided by 483?\nAnswer: 37\/161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 219149 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) be the second derivative of -t**3\/3 - 9*t**2\/2 + 2*t. Let w be a(-7). Suppose 395 = -0*x + w*x. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -255*w + 255*w - 5598426*w**2.\nAnswer: -5598426*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 5376114?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u - u = -4*j + 27, -u + 4*j + 43 = 0. What is the remainder when 138 is divided by u?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2 + -3 + 10 - 1 - (50 + -52)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -495.56 or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) be the first derivative of 7*n - 17*n + 3*n**3 - 46 + 62. What is the derivative of s(p) wrt p?\nAnswer: 18*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 69 divide -1 - 1 - 637736\/(-88)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 78357 to the power of 1\/3, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 215 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/5?  (a) -0.1  (b) -10\/19  (c) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 5 + 2)*(-11615*v**2 + 40*v - 40*v + 102*v**2)*(3*v + 0*v - 5*v).\nAnswer: -46052*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = q**3 - 3*q**2 + 4*q + 1. Let l be h(3). Suppose 3*w + 1 = l. Let g(r) = 2*r**2 - 3*r - 2. Is 6 a factor of g(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -3 + 1 + 27*x**2 + 2*x**3 - 26*x**2 + x in the form g*x**3 + l + u*x + v*x**2 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 16 * 1.7\nAnswer: 27.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 299581 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) be the second derivative of k**3\/2 - 2*k. Let b(h) = 7*h. Let u(y) = 2*b(y) - 5*s(y). Let j(w) = 6*w**2 + 11*w**2 + 3*w**2 - 14*w**2. What is j(u(l))?\nAnswer: 6*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 8127886, 16255773, 24383660, 32511547, 40639434?\nAnswer: 48767321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand -49*i + 129*i + 1 - 6*i + 9*i + 10*i - 28*i + 2*i - i - 2*i + (3*i - 2*i - 3*i)*(2 + 2 - 5) - 2*i + 0 + 0 + 0*i - i + 0*i.\nAnswer: 63*i + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when (710\/(-8))\/(-1) + (-8)\/(-32) is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 3576 and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.108 - 0.092. Which is the nearest to -1?  (a) y  (b) -5\/3  (c) -1  (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -997824 + 86811775\/87. Let h = -150\/29 - s. Calculate the common denominator of h and -125\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o*o**(1\/2))**(-31)*o**(2\/73)\/o**(-2\/21) assuming o is positive.\nAnswer: o**(-142193\/3066)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: ((-4)\/(-210)*6)\/(-1*(-2)\/10)\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = -a**3 + 8*a**2 - 11*a + 24. Let m be x(7). Suppose 3*n - 10 = -2*n. Is n not equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -24591494 less than -24591492?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -3 - 3102122230102?\nAnswer: -3102122230111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a be -3*44\/231*1. Suppose 0*u - 2 = u. Which is bigger: a or u?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 54342800 by -200.\nAnswer: -271714","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 11 - 10.9. Which is the third smallest value?  (a) 3  (b) 6  (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1505, -3026, -4561, -6110, -7673, -9250, -10841?\nAnswer: -12446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 2, 12, 22, 32, 42?\n\"Answer: 10*f - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -698\/465 - -29\/62. Calculate the common denominator of x and 59\/15.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = -q**3 - 7*q**2 - 13*q + 12. Let z be p(-4). Calculate the greatest common divisor of 208 and z.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -378.7 + 400.23. What is y rounded to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 18\/(-15)*5*-2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = 11*x**2. Let j(n) = 9886*n. Determine j(c(f)).\nAnswer: 108746*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**2*c)**39*c\/c**(-11)*c*c**(-1\/7) assuming c is positive.\nAnswer: c**(909\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*f**2\/7 - 1401*f\/7 - 120060.\nAnswer: 3*(f - 812)*(f + 345)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = 1817497*c**2 - 15*c + 18. Let m be g(-6). What is m rounded to the nearest one million?\nAnswer: 65000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 6*b**5 - 7*b**5 + 11*b**5 + 3*b**5 - 12*b**2 wrt b?\nAnswer: 780*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) be the second derivative of -c**5\/20 + c**4\/6 - c**3\/3 + c**2\/2 + 16*c. Let x be 48\/22 - 4\/22. Let d be x + 2\/(-2)*1. What is y(d)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*(-2*-2*sqrt(130) - (-2*sqrt(130) + sqrt(130) + sqrt(130))*3)\/(sqrt(4000) + sqrt(4000) + sqrt(4000) + -1*sqrt(4000) + (2*sqrt(480))\/sqrt(12)))**2.\nAnswer: 13\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:35 AM and 12:03 PM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {x: 6, t: 4}. Give prob of sequence tx.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence czc when three letters picked without replacement from {z: 3, c: 3}.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 237421?\nAnswer: 137, 1733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = w + 3*w**3 + 1 - 2*w**3 + 0*w. Let f(l) = -l**4 - 3*l**3 - 3*l - 4. Let y(p) = -f(p) - 3*o(p). Differentiate y(q) wrt q.\nAnswer: 4*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = -2*y. List the prime factors of k(-10).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z\/(z**0\/z)*z)\/z)\/z*z**5*(z\/(z\/(z\/(z*z\/(z**(1\/3)\/z)*z))))**(-47) assuming z is positive.\nAnswer: z**(394\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sum 310736 and -23.14.\nAnswer: 310712.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -10 times 473\nAnswer: -4730","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 g and 2 w when four letters picked without replacement from gmjwywgggwggmgwg?\nAnswer: 6\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3395 is divided by 110?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence td when two letters picked without replacement from {b: 1, t: 1, d: 1, q: 2, i: 1, s: 2}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 5803*i**5 - 415*i**4 + i**2 + 278*i - 97682 wrt i.\nAnswer: 348180*i**2 - 9960*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 2760, 11033, 24822, 44127, 68948?\n\"Answer: 2758*b**2 - b + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = -127*s + 507. Is d(-12) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -794*g - 825*g + 2404*g - 811*g.\nAnswer: -26*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = c**2. Let g(f) be the first derivative of 2*f**3\/3 - 626*f - 276. Calculate o(g(w)).\nAnswer: 4*w**4 - 2504*w**2 + 391876","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*c + 5*y + 9 = 7, 3*y = 2*c - 10. Solve -5*s + 5*v = 10, -c*s - 22 + 6 = 2*v for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -3\/5?  (a) -0.7  (b) 6\/5  (c) -1  (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 42 - (-4 - (1 + -7)). Solve 2*a = -6 - 4, -5*q = -5*a - d for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 85.673  (b) 1  (c) -5  (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Does 7 divide 854?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-16)\/(-35))\/(1632\/(-4080)).\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = w**3 + 5*w**2 + w - 8. Let p be a(-4). Suppose 3*c - 104 = -p*o - 0*o, 0 = 3*o - c - 65. List the prime factors of o.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 32, 53, 74, 95, 116?\nAnswer: 137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 4428523 and 517.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 117\/56 and -115\/56.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 19758, 19682, 19606, 19530?\nAnswer: 19454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:55 PM and 11:27 PM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2710 is divided by 63.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) be the first derivative of -229*m**6\/3 - 98*m**2 - 472. What is the second derivative of t(z) wrt z?\nAnswer: -9160*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1871915037 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -12 + (-20 + -9 - -64)\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.003489 - -0.0059. Round k to 3 dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 30565 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3166.6187 days to weeks.\nAnswer: 452.3741","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 divided by 174.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -302 + 298. Put -10, -1, 2, n in decreasing order.\nAnswer: 2, -1, n, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = 6*b. Let z be x(11). Suppose 0 = 11*v - 5*v - z. What is the second derivative of -20*h - 2*h**4 + 11*h + v*h + 5*h**4 wrt h?\nAnswer: 36*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 45*b + 163 wrt b.\nAnswer: 45","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = 2*o**2 - 8*o + 961. What is the ten thousands digit of h(127)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.4 * 200314\nAnswer: -80125.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = 8*f + 5. Let b be z(-1). Let k = -21.28 - 0.72. Let m = -22.2 - k. Sort 1, m, b, -2\/5 in descending order.\nAnswer: 1, m, -2\/5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1799931449 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1898?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 36 and 62\/171.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 11 minutes after 5:37 PM?\nAnswer: 5:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -70.8 + 86. Let p = 42.8 + h. Which is greater: -3 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = 2808*q - 75810. Determine s(27).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is -52 greater than -48?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = -2*v**3 + 58*v**2 + 64*v - 4467. Give s(27).\nAnswer: 177","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t**(-1\/5))**(-6\/11)*(t**0)**(-25))**24 assuming t is positive.\nAnswer: t**(144\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -0.8 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is (1 - (0 + 3)) + -182 + 179?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1980 is divided by 68.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = -8*f**2. Let x(w) be the second derivative of w**5\/60 - 3*w**2 - 6*w. Let p(q) be the first derivative of x(q). Determine p(s(l)).\nAnswer: 64*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i*(i\/(i**(-2\/13)\/i)*i)\/i)\/(i**0*i))\/(i*i**(-1\/4))**(3\/2) assuming i is positive.\nAnswer: i**(107\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3024060550?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is one quarter of a gram in milligrams?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 + 0 = -t. Let h be (-2 - 1\/t)*-3. Suppose -h*a = 4*k - 25, 8*k - 3*k - 4*a = 70. Do k and 9 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 22 + -31. Let d(c) = c**3 - 6*c**2 - 5*c + 2. Let z be d(7). Let u = o + z. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 194087003 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*p + 178 + 102. Suppose 4*v = -4*n - p + 4, -v - 29 = 3*n. Let w be (-5 - n)*1\/(-2). Which is the smallest value?  (a) -3  (b) w  (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does -0.1 = 10479696?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 27 or 21?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -935043131 + -2.1?\nAnswer: -935043133.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 10930 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f - 18 - 2 = 0. Suppose -2*l + t - 2*t + f = 0, -5*l = -4*t - 76. What are the prime factors of l?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000008429576 to six dps.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 5\/25*1\/(-2)*6?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = -f**3 - 4*f**2 + 11*f - 3. Let h be u(-6). Let m be ((-35)\/25 + h)\/(4\/10). Solve -2*d - 2*d = m*p, 0 = -2*d - 4*p - 2 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 6827195?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {q: 7, d: 2}. What is prob of picking 1 d and 3 q?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(20)*1 + sqrt(20) + -3 - -1*(sqrt(5) + -4)*3) + 1.\nAnswer: -14 + 7*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = 14*i**3 - 5*i**2 - 5*i. Let b(d) = -2*d**2 - 10*d - 2*d**2 + d**2 + 15*d**3 + 4*d - 3*d**2. Determine 5*b(w) - 6*r(w).\nAnswer: -9*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Factor t**4\/4 - 105*t**3\/4 + 2241*t**2\/4 - 9855*t\/4 - 26325\/2.\nAnswer: (t - 78)*(t - 15)**2*(t + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*u - 6504 + 223534 = 0. Round u to the nearest 1000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 3695933 * 64.\nAnswer: 236539712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = 53*l**2 - 15*l + 17. Suppose q - v + 13 = 0, -5*q + q = 2*v + 40. Is a(q) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, 5, 258 in descending order.\nAnswer: 258, 5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-9)\/(-15))\/((-663)\/(-14365))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"}
{"text":"Question: Solve -112*a + 3880 + 28 + 1580 = 0 for a.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 3\/125 + -434\/375. Let s = 1 + h. Let r = 89 + -447\/5. Which is the nearest to 1?  (a) s  (b) r  (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -1, -3, 0.3.\nAnswer: -3, -1, 0.3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 48075036 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1\/64 + 243\/832. What is the third smallest value in -3\/7, -2, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -194*k + 2024 = -10*k for k.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {u: 2, k: 1, s: 1, l: 3, b: 5}. What is prob of sequence kul?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 35 is divided by 2 + -8 + 10 + (19 - -1).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 211 + -211.1. Let c = -0.11 - -0.41. Let f = -34 + 169\/5. Sort f, c, o in ascending order.\nAnswer: f, o, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11371 = 17*u - 508. What is u rounded to the nearest 100?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/5 of a micrometer in nanometers?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 23 + 3. Let c be 132908\/j - (-4)\/26. Suppose -c + 1383 = -5*p + 2*f, -2970 = -4*p - 5*f. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine w, given that -w**5\/5 - 36*w**4\/5 + 2051356*w**3\/5 + 1155838318*w**2\/5 - 410271*w - 1155838282\/5 = 0.\nAnswer: -839, -1, 1, 1642","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -18180\/103 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (9\/3)\/(68\/(-204))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -48 - (11 + -27) - -69.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = -4*f + 3. Let i(p) = 8*p - 6. Let v(y) = -2*i(y) - 5*z(y). Determine v(4).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 518.9079 micrograms in grams?\nAnswer: 0.0005189079","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ccjcujjuuccucjcc. Give prob of picking 1 c, 1 u, and 1 j.\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10*v + 9 + 21 = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.1276271m to nanometers.\nAnswer: 127627100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = a**2 - 4*a**2 + a**3 - 2*a**3 - 2*a**2 - 1. Suppose k - 20 = 5*k. Calculate j(k).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 851 is divided by 248.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (9\/6 - 1)\/(16\/128). Solve k*o + h = 12, -2*o + 24 = -24*h + 29*h for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.06 + -1342370245.94\nAnswer: -1342370245.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) be the third derivative of p**6\/120 - p**5\/10 - p**4\/12 + 3*p**3\/2 - 5*p**2. Let u(f) = f**2 + 2*f. Let a be u(-2). Let d = 6 + a. Calculate h(d).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence sivs when four letters picked without replacement from {v: 1, r: 2, i: 1, s: 2}.\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -20 - (-18 + 29 + -26 - -18).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 0  (b) 540\/17  (c) -0.3  (d) 3  (e) 2  (f) -0.04  (g) 5\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 28 + 1. Let z = -27 + u. Let f(i) = 17*i**3 + 4*i**2 - 4*i + 4. What is the tens digit of f(z)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -9 + 48 + -6 + -13. Solve w - 11 = -2*f, -y*f + 14 = -17*f - w for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -21 divided by -45668466?\nAnswer: 7\/15222822","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.023121 and 13.\nAnswer: 0.300573","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -44897302.000039 + 44897335. Let c = z + -33. Round c to 5 decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -36071799*m**2 + 40466111*m?\nAnswer: -72143598","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2?  (a) 1\/3  (b) 6\/5  (c) -1  (d) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = 5*p**2 - 3. Let n(d) = -9*d**2 + 5. Suppose -3*b - 26 = 2*g + b, -2*g = 3*b + 22. Let r(h) = g*t(h) - 3*n(h). Let a(c) = -3*c**2. What is r(a(j))?\nAnswer: 18*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 7391 or -8\/1397?\nAnswer: 7391","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Work out 10.2 * -10.\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 2  (b) -70  (c) 162\/13  (d) 0.3  (e) 0.05  (f) -2\/15  (g) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Express (4 + 7*d - 4)*(2*d + 512 + 4*d**2 - 5*d**2 - 678) as z + a*d**2 + y*d**3 + g*d and give a.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -5 + 8. Let y(g) = 2*g**2 - 8*g + 8. Let i(n) = -n**2 + 37*n - 13*n - 3 - 21*n. Give w*y(l) + 8*i(l).\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 0 - 3 + (0 + 1 - 3)*(-6 - 6 - 13))*(-u + 0*u + 3*u)*(0 - 2 + 3) - 4*u + u + 5*u.\nAnswer: 98*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -7.50000202 - -7.5. Round y to 7 decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 393 divide 3453684?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 74051?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a be -2*(-3)\/15*75. Suppose a*m = 32*m. Solve 2*x + m = 2 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 5490 - 5336. Calculate the remainder when f is divided by (-104)\/(-3) - 1\/(-3).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 33*d - 9 = 24*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q = -4*o + 3*q + 19504, -4*o + 4*q + 19512 = 0. Suppose -b - u + 3247 = b, -5*u + o = 3*b. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = c**2 + 2*c - 20. Let p be v(0). Which is greater: -22 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*j + h + 12 + 32, 2*j - 29 = h. Suppose 4230 = 20*s - j*s. List the prime factors of s.\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 24 - 9. Suppose 3*b - 5 = -b - q, 5*b = 3*q - v. Solve -5*x + 2*p = -8, -x + b*p + 1 = -p for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*f = 5*q - 15 - 13, f - q = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -511\/9 + 57. Which is the nearest to -0.08?  (a) q  (b) 0.5  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = 30 - 11*m**2 - 7*m - 14*m**2 - m**3 + 6*m**2 - 12*m - 1. Give c(-18).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 56584439.\nAnswer: 23, 2460193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 12 - -1. Let d = x - 14. What is the tens digit of d + (3 - (-22)\/1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -184 + 34 = -15*t. Let k be 2 + (-13 + 0 - -1). Let y be t*(-9 + 8 + 6\/k). Which is the second biggest value?  (a) y  (b) 0.2  (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 1\/(-1)*(1 - 4). Suppose 4*w = 5*n - 43, -s*n + w + 31 = -4*w. Let t(m) = -m**2 + 26*m - 45. What is the remainder when n is divided by t(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9 = 3*a, -4*l - 3*a = -5*a - 698. What is the remainder when l is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-7)\/3 + 2)\/(1\/(-15)). What is the third derivative of -18*y**l - 20*y**2 + 2*y**2 + 30*y**5 wrt y?\nAnswer: 720*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 9*m**5 - 11*m**3 - 505*m**2.\nAnswer: 540*m**2 - 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Divide -386 by -193.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 3 - 2.6. Let q be 6\/(-28) + (-4)\/(-8). What is the closest to 1 in q, r, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*(sqrt(216)*2*-4*-2)\/((sqrt(363) + sqrt(363)*2 - sqrt(363) - sqrt(3) - sqrt(3))*-3*3).\nAnswer: -8*sqrt(2)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -211 in 0, 0.4, 0.1, 0.03?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*d**5 + d**3 - d**3 + (-133*d**4 - 22*d**4 - 81*d**4)*(-14*d - 21 + 21)*(-1 + 1 - 2).\nAnswer: -6606*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {l: 5, w: 3, c: 3}. Give prob of picking 1 w and 2 l.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l - 4851 = -8*l. What is the greatest common divisor of l and 49?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-1)\/2)\/((-28)\/(-16))\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*(sqrt(22) + sqrt(22) + ((sqrt(22) - sqrt(550)) + sqrt(22))*5)\/(sqrt(1100) + sqrt(1100) + sqrt(1100)*2).\nAnswer: 13*sqrt(2)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(26)\/sqrt(2))**2*5 + ((sqrt(156)\/(sqrt(12)*4))**2 - sqrt(13)) - ((4*-2*sqrt(1053))**2 + (sqrt(1053)*-1)**2 + -4).\nAnswer: -1094003\/16 - sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find f, given that 144\/7 + 374\/7*f**2 - 10\/7*f**3 - 508\/7*f = 0.\nAnswer: 2\/5, 1, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = -15*i. Let z(m) = -2*m**3 - 4*m**2 - 7*m - 6. Let k be z(-3). Let b(c) = 35*c - 72*c + k*c. Calculate h(b(g)).\nAnswer: 60*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 14.69 times 3?\nAnswer: 44.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 12941*h**4 - 4715*h wrt h?\nAnswer: 155292*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j**(-2\/9)\/j)\/j**5)**(-14\/3)\/((j\/(j\/(j**(-2\/7)*j*j)))**(-6))**(-22) assuming j is positive.\nAnswer: j**(-37280\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21*p - 46*p = -400. What is the smallest common multiple of 400 and p?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4480*x - 4412*x - 544 = 0 for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -2\/1807 - -887241\/3614. Do w and 245 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 147061 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*l + 2 = -2*i, l + 2*l = -4*i + 1. Let a be (i - -2)*730\/3. Round a to the nearest 100.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-1)\/(-1 + (-4)\/(-5)). Let r = h + 9. Suppose -2*o + r = -0. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x**(-6\/7)\/x)**(-17\/5)\/(x*x*x*x**(-11)*x*x*x**(-2\/5)))**(31\/2) assuming x is positive.\nAnswer: x**(2759\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Factor -459\/5*h + 1404\/5 - 3\/5*h**2.\nAnswer: -3*(h - 3)*(h + 156)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -27 (base 13) to base 11\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = -u**2 + 2*u + 4. Let c be b(4). Let s = c - -3. Let l = 5 + -5. Put 1, s, l in ascending order.\nAnswer: s, l, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 4766850 and 3250125.\nAnswer: 71502750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -83\/396 and -79\/2260.\nAnswer: 223740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -10001312312 + -2132?\nAnswer: -10001321110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Determine z, given that -5*z**5 + 4020*z**4 - 1073290*z**3 + 94053160*z**2 + 296318295*z - 389302180 = 0.\nAnswer: -4, 1, 269","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-515)\/(-20) + 4\/16. Suppose -12 = c*a - 24*a. Does 3 divide a\/4 - (-88)\/16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -200.3 or -1?\nAnswer: -200.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -13 + 13.9. Let p = 10099.0689998 + -10098.169. Let w = o - p. What is w rounded to 6 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = -o**3 + 2*o**2 + 42*o + 220. Let m be d(9). Solve -m*f - 38 = -7 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4596460 is divided by 40.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) be the second derivative of z**4\/4 + z**3\/2 - z**2 + 3*z. Let h(g) = g. Let o be h(-4). What are the prime factors of y(o)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = 72*c**2 - 34*c - 198. Let y be k(-8). Suppose -5*s - 3*m = -y, -13*s + 2*m - 3746 = -17*s. Round s to the nearest 100.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -1 + 54*g + 24*g**2 - 24*g + 6 - 32*g**2 - 24*g in the form o + j*g + v*g**2 and give v.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*u + 8*u = -20. Suppose u*m = m + 1620. Suppose 100 = 5*c - m. Calculate the remainder when c is divided by 26.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r - 64 = -4*i, -2*r + 4 + 8 = -3*i. Solve -r = 4*g - 20 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -17d416 + -55?\nAnswer: -17d46b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 185 and 3626?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 21731\/1232 or 19?\nAnswer: 21731\/1232","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {g: 3, j: 1}. Give prob of picking 2 g and 1 j.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 1919997\/12 + 2\/8. What is f rounded to the nearest 10000?\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -16.9 + 2.9. Let w = -7 + 17. Let q = r + w. What is the closest to 0.2 in 0.1, -1, q?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {t: 3, i: 8}. What is prob of picking 2 t?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 8d04 (base 14) in base 12?\nAnswer: 12220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.17723 - -0.02277. Let f = 10 - 14. Which is the biggest value?  (a) o  (b) -12  (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.5 + 0. Which is the third smallest value?  (a) 0.6  (b) t  (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 65403 to the power of 1\/2, to the nearest integer?\nAnswer: 256","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -j**4\/7 - 37846*j**3\/7 - 357890585*j**2\/7 + 512024032*j + 1996071168 = 0.\nAnswer: -18928, -3, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 5  (b) 7  (c) 9  (d) -0.03\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -7 - 1\/(8\/(-64)). Let c(o) = -6*o**3 + 2*o**2 - 1. Calculate c(z).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -21057 + 23020. Is 1965 equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 85*v - 58*v - 336474. Is 17 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 250 minutes after 6:44 PM?\nAnswer: 10:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 75 and 114886?\nAnswer: 8616450","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -0.5 and 0.306780194?\nAnswer: 0.806780194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 70 - 297*j - 54 - 257*j.\nAnswer: -554*j + 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = 5*x + 35 - 39 - 5*x + 6*x**3 - 4*x**2 + x. Let s(o) = -17*o**3 + 11*o**2 - 4*o + 11. Give -11*p(y) - 4*s(y).\nAnswer: 2*y**3 + 5*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -37 - -147\/4. Suppose -q = -0*q - 1. Let b = 0 - q. Do h and b have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 221212 - 221161.0084. Let i = 51 - q. What is i rounded to 3 dps?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -70088192 divided by 3\nAnswer: -70088192\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = -f**3 + 17*f**2 + 107*f - 2. Let z be (-1)\/3*(230\/10 + -8). Let i be d(z). Solve i - 9 = r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in three tenths of a hour?\nAnswer: 18","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 11473687703 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort -48, 1, -4, 8, -335 in increasing order.\nAnswer: -335, -48, -4, 1, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = -26*k - 27. Let r(t) = -13 - 19 + 53 - 23 - 13 - 14*t. Let d(n) = 11*r(n) - 6*z(n). Let q = 2 - -1. Determine d(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -224 != 12095?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 186131578 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -7*n - 2*i + 190220, 5*n + 5*i - 7*i - 135844 = 0. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*w**2 - 6488*w + 6486.\nAnswer: 2*(w - 3243)*(w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 78*p + 445076 = -226. What is p rounded to the nearest one hundred?\nAnswer: -5700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = -s**3 - 13*s**2 - 37*s + 4. Let x(a) = -2*a**3 + 6*a**2 + 3*a - 23. Let f be x(2). Calculate n(f).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = 22*j**3 + 7*j**2 - 14*j - 5. Calculate i(2).\nAnswer: 171","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify a**(-1\/3)*(a*a*a**0)\/a*(a*a**3*a)**(3\/25) assuming a is positive.\nAnswer: a**(19\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round -1.3545897 to 2 dps.\nAnswer: -1.35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 9*v**3*y**3 + 4588*v**2*y**3 + v*y**2 + 1165889*y**3 wrt v.\nAnswer: 54*v*y**3 + 9176*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 852646*q**2*v**5 - q**2 - 4*q*v - q - 8*v - 523 wrt v.\nAnswer: 17052920*q**2*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -14 divided by -60\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2589719707?\nAnswer: 23, 2719, 41411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 3 and -0.031.\nAnswer: -0.093","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express (-16 + 1 + 3 + (-3 - 4 + 5)*(1 - 5 + 3))*(3*k - k - k)*(-k**3 + 0*k**3 - 2*k**3) as d*k**3 + i + z*k**4 + r*k + t*k**2 and give z.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many nanoseconds are there in seventeen quarters of a microsecond?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -4479915.689 rounded to the nearest 1000000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Put 7, -675, 3, -51 in increasing order.\nAnswer: -675, -51, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 1\/5 of a microgram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 678920012 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 1\/(-11)*1*2. Let h = -365 + 367.81. Let q = h + -2.41. Which is the second smallest value?  (a) -6  (b) 3  (c) z  (d) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*n + 34 - 11 = -k, 0 = -n - 5. Suppose -q - k*q + 12 = 0. Suppose -2*f + 3*g + 4 = -22, 16 = -q*g. Calculate the highest common divisor of f and 77.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 193 + -183. Suppose -6*c = 2*i - y*c - 8, 2*i - 18 = 2*c. Which is smaller: 27 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = -8*q**2. Let t(w) be the first derivative of 0*w**2 + 43 + 0*w + 5\/3*w**3. What is t(a(u))?\nAnswer: 320*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) be the first derivative of -h**7\/42 - h**5\/20 - 7*h**2\/2 + 5. Let z(y) be the second derivative of m(y). Find the third derivative of z(k) wrt k.\nAnswer: -120*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 18*j - 33*j + 45. Suppose -4*n - 478 = -3*k, 8*n - j*n = k - 141. Does 35 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -15 + (-12 - (-17 - 16))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: (-29)\/((-2436)\/63)*-8\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 52*g + 133*g + 342 + 1508 for g.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = -2*s**2 + 16*s - 12. Let j be a(6). Suppose -22 = -5*f - j. Find the third derivative of 8*m**2 - 29*m**f - 23*m**4 + 3*m**4 wrt m.\nAnswer: -480*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 2803788, 5607585, 8411382, 11215179, 14018976, 16822773?\n\"Answer: 2803797*f - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -7, -17, -27, -37?\n\"Answer: -10*k + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 140 divided by 20.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = t**2 - 8*t - 4. What is the lowest common multiple of u(9) and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3\/(-7)*20\/15\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 4 by 508099.\nAnswer: 4\/508099","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-4)\/((-391880)\/(-15756) - 12\/(-26))?\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*t - 20, -t - t - 28 = -2*s. Suppose 0 = s*o - 4*o - 25. Calculate the lowest common multiple of o and (-5)\/2 - (-63)\/18.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 11  (b) 0.05  (c) 5  (d) -4  (e) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 3 - (13 + -3 + 0). Let u = g - -10. Let s be (12\/(-3))\/((-2)\/u). Solve 2*a = -2 - s for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 648 and 1064.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = 2*c - 2. Let r(h) be the third derivative of h**4\/24 - h**3\/6 - h**2. Let i be r(0). Let f(g) = -2 + 0 + 3. Give i*j(s) - f(s).\nAnswer: -2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 11\/(-22)*(0 + 0). Factor 9\/2*p - 3\/2*p**3 + x*p**2 - 3.\nAnswer: -3*(p - 1)**2*(p + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 5933695, 5933713, 5933731, 5933749?\nAnswer: 5933767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 721948 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = -t**2 + 2*t - 1. Let s(i) = -2*i**2 + 2*i - 1. Give -3*n(k) + 2*s(k).\nAnswer: -k**2 - 2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 1.99 - 1157.99. Let k = w + 1155.999999153. Round k to seven decimal places.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-92)\/161 + (93212\/269451 - 4\/(-18)). Suppose 5*i - 2*i = 0. Which is smaller: y or i?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 31 - 1 + 2*b - 30.\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence dv when two letters picked without replacement from {u: 4, z: 10, v: 1, n: 2, d: 1}?\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Are -6045 and -6054 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-4275)\/(-36)*(-24)\/(-3). Suppose -b = -6*k - 4*k. Is 19 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.03, -5.2, 2\/11, -1\/3 in decreasing order.\nAnswer: 2\/11, 0.03, -1\/3, -5.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -4\/29  (b) 1\/4  (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l + 198 = 5*p - 0*l, l = 2. Let a(g) = 4*g**2 - 2*g - 1. Let y be a(-2). What is the greatest common divisor of y and p?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -129 in -1, -0.5, -0.6, -1\/8?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*n + 4*q + 70 = q, 0 = 2*n + 5*q - 59. Suppose -85*b + 64*b + 690 = -591. What is the remainder when b is divided by n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 71\/1347200 and 127\/960.\nAnswer: 4041600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 62*s - 888 = 268 - 2037 - 2281 for s.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 3 and 533808.\nAnswer: 1601424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-104808)\/36524*(-276)\/(-36)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*s = 3*w - 17, -4*w + 11 = -7*s + 12*s for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 15150501.\nAnswer: 3, 37, 45497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 972 = 28*n - n. Suppose -2*h + 5*h - n = 0. What is the highest common factor of 6 and h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -10354 in 11, -4\/153, 2?\nAnswer: -4\/153","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence pf when two letters picked without replacement from {f: 4, p: 2, o: 3, v: 1}.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s**4\/7 - 206*s**3\/7 + 1468748*s**2\/7 + 824*s\/7 - 839280 = 0. Calculate s.\nAnswer: -910, -2, 2, 807","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = t**3 - 3*t**2 - 4*t + 5. Let x be f(4). Suppose -353 = -5*u - x*g + g, -2*u + 158 = -4*g. Is u a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -29.3 - 10425.962117?\nAnswer: -10455.262117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) be the second derivative of -d**4\/12 + 13*d**3\/6 - d**2 + 71*d - 3. Calculate x(9).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 524 minutes after 11:19 PM?\nAnswer: 8:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = 4*h - 5*h - h. Let a be (4 + 1 + -1)*(-1)\/(-2). Calculate x(a).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = h**2 + 15768*h + 9042509. Give t(-596).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*k - 16, 5*j + 2*k - 55 = -22. Let p(y) = -y**2 + 3*y + 14. Calculate p(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 42455045 (base 6) in base 9?\nAnswer: 2317062","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {m: 1, p: 1, c: 1}. Give prob of picking 1 p and 1 c.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 41*y + 235 = 106 - 486 for y.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 266633.\nAnswer: 266633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -5412 divided by -4\nAnswer: 1353","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = -2*n**2 + 14*n + 1. Let u be b(7). What is the greatest common divisor of 2 and u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {w: 3, u: 6, e: 1, k: 7}. What is prob of sequence wu?\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 16\/(-8)*(1\/14)\/(66\/693)\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.1465 - 0.14. What is i rounded to three dps?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 4.354551 nanoseconds?\nAnswer: 0.00000000007257585","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 7327384 a multiple of 910?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Put -19, 834, -4, -8, 3 in descending order.\nAnswer: 834, 3, -4, -8, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i - 4 + 10 = 0. Let w = -1 - i. Suppose 9 = -u + 5*g, -w*g + 7 = 4*u - u. Sort -2, 4, u in decreasing order.\nAnswer: 4, u, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10788 = 780*g - 44328 for g.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 49733 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2\/7*o**5 - 11600\/7*o**3 + 27360*o**2 - 90720*o + 260\/7*o**4 + 84672.\nAnswer: -2*(o - 42)**3*(o - 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -34, -42, -52, -64, -78, -94, -112?\nAnswer: -132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**(-1\/2)*f*f\/f**(-3\/11))**(-1\/48)\/(((f\/(f*f**(-3\/11)*f))\/f)\/(((f**(-1\/4)*f)\/f)\/f*f*f))**(-21\/5) assuming f is positive.\nAnswer: f**(-18377\/1760)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 3\/594616 or 0?\nAnswer: 3\/594616","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) be the third derivative of -5*g**8\/896 + 71*g**7\/1680 - 31*g**6\/960 - 21*g**5\/160 + 23*g**4\/96 - g**3\/6 + 290*g**2. Let o(i) = 0. What is i?\nAnswer: -1, 1\/3, 2\/5, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 386 minutes before 9:22 AM?\nAnswer: 2:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -25696*h**3 - 2*h**2 - 2*h - 253910 wrt h.\nAnswer: -77088*h**2 - 4*h - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 10272 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -1332244303 + -3?\nAnswer: -1332244311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -11588903.6073 minus -2?\nAnswer: -11588901.6073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is (-3)\/9*5*3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 588?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 121 - (-6 + 2 + 1). Suppose 188*i + 403 = 201*i. Calculate the highest common divisor of i and a.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 11851816 * -1\nAnswer: -11851816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -42*m + 634 = -1046. Solve 39*v = m*v + 3 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 16 and 38316.\nAnswer: 153264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {e: 3, n: 2, u: 1, h: 1}. What is prob of sequence eun?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = 2*s**2 - 7*s - 3. Calculate q(6).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let -25*b**3 + 29560*b**2 - 2983845*b + 1188810 = 0. Calculate b.\nAnswer: 2\/5, 111, 1071","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 106 - -267. Suppose 3*q - 509 - t = 0. Suppose 0*f + d + q = 4*f, -368 = -5*f + d. Is 20 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0\/(-3) - (7 - 8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -4\/5, 4.59, 0.2, -2\/9?\nAnswer: 4.59","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = -254 + 7*s + 506 - 254. Let b(c) = 20*c - 6. What is -3*b(f) + 8*y(f)?\nAnswer: -4*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 1 + 0)*(3*u**2 + 5*u**2 - 6*u**2) + (0 + 4 - 6)*(u**2 - 2 + 2)*(5 - 3 - 3).\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l - 437 + 101 = 0. Let r = 235 + l. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -29 = 4*i + x + 35, -2*x = 0. Let w = i - -38. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (2 - 5) + (-44)\/2. Let l = -37 - b. What is the remainder when 67 is divided by (l\/14)\/(3\/126*-2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -14561, -29117, -43673?\nAnswer: -58229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2195762 is divided by 398.\nAnswer: 394","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*q = -131 - 25. Is q at least as big as -73\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b + k + 208265 = 26404, -6*b + 2*k + 545580 = 0. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 17 - 13. Is 11 a factor of o*(1 + 36\/8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3 + (5*(3 + sqrt(1539) + 1 + sqrt(1539) + -2))**2)*-2.\nAnswer: -307994 - 3600*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10*t + 63 = -t for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from dldellekedldllk. Give prob of picking 2 e.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -14 - 202121113?\nAnswer: -202121132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 15211 - 10367. Suppose -14*u = -28*u + w. Is 10 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -4022.14036 to the nearest 10.\nAnswer: -4020","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2150*k - 2149*k + 86 + 6448*k - 2151*k.\nAnswer: -2*k + 86","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) be the first derivative of 3*j**3\/5 - 3*j**2\/10 + 21. Factor f(c).\nAnswer: 3*c*(3*c - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -10 + -20348.6556.\nAnswer: -20358.6556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-96)\/72)\/((-4)\/(-18)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = -m**3 + m**2 + 5. Let i be d(0). Solve 3*u + 22 = -4*x + i*u, 3*x - 2*u = -19 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = 6*d + 11. Give w(-4).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from yymyyymyyyyyy?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.5, 0, -1.6745, 0.1, 3 in decreasing order.\nAnswer: 3, 0.1, 0, -0.5, -1.6745","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 76\/143 - 1\/13. Let s be 131065\/(-30)*3\/5. Let h = s - -2625. Calculate the common denominator of h and n.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = -d**3 + 21*d**2 + 23*d - 14. Give l(22).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -578463\/52 - -11125. What is the common denominator of i and -1\/20?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1 + 3. Suppose -1 = -j*c + 3*c. Let t(k) = -c - k - 5 + 6. Let l(o) = -2*o. Calculate l(t(y)).\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence pdad when four letters picked without replacement from adppigdli.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Determine h, given that 2*h**5\/7 - 1822*h**4\/7 + 417678*h**3\/7 - 1234874*h**2\/7 - 417680*h\/7 + 1236696\/7 = 0.\nAnswer: -1, 1, 3, 454","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1\/4*4)\/(1\/5).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify m*m**(-27)*m**(-2\/17)*m**(2\/109)\/(m*m*(m*m**(2\/5)*m*m)\/m*m) assuming m is positive.\nAnswer: m**(-291841\/9265)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -8117270*d**2*m**3 - 125861*d**2*m**2 + 22*d*m**2 wrt m.\nAnswer: -48703620*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (459\/36 + -4)*27\/(1350\/280).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (2175\/116)\/(-25) + 6\/8. Solve m = 10*l - 16 + 76 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -3*h**2*i**6 + 1431*h**2*i**2 + 101*h*i**6 wrt i.\nAnswer: -360*h**2*i**3 + 12120*h*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-36)\/21)\/(176\/56)?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-6 - (2 + 0)) + (2 - (-14 + 14))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 16 divide 208396?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -3424 (base 8) in base 2?\nAnswer: -11100010100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -5646*0.1684\nAnswer: -950.7864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -42 + 3*j**2 - 54 - 33 - 26*j + 178 - 33.\nAnswer: 3*j**2 - 26*j + 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-40)\/18)\/(((6300\/240)\/(-105))\/(63\/8))?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 356010592 and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -340789536*v**3 - 879078549 wrt v.\nAnswer: -1022368608*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = -x + 7. What is a(-5)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from mmiimim. What is prob of sequence mi?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -93\/42800 and -121\/3927756.\nAnswer: 392775600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -1 + -69ba94?\nAnswer: -69ba95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) be the first derivative of -q**3\/3 - 5*q**2\/2 + 3*q + 1. Let a be l(-6). What is the common denominator of ((-10)\/(-54))\/(1\/a) and -10\/11?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1704232857?\nAnswer: 3, 568077619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 8831391 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 3  (b) 2\/10639  (c) 0.064  (d) -0.1  (e) 0.1  (f) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-1 - 1)\/(-4 - -3). Let a(l) = 2*l**j - l**2 + 0*l**2. Let q(f) be the first derivative of f**2 + 2. What is q(a(v))?\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 66\/20 + (-2)\/(-2). Let r = 14\/5 - b. Is -3 >= r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = -v + 15. Let l be d(-19). Suppose 5*n - l - 6 = -5*q, -2*q + 4*n + 4 = 0. Let k = 35 + -25. Solve k = h - q*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-3)\/15)\/(13\/(390\/(-16))).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 3788889 and 39.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 3\/1 - (5 + (-22666)\/14) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = -7*j + 338. Let b be d(49). Let v be (b - 2*(-76)\/16)*84. What is the highest common factor of 108 and v?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 2027 + -2027.7. Which is the closest to 0?  (a) w  (b) 3  (c) 2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -22*-295\nAnswer: 6490","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = 2*k**2 + 75*k - 290. Determine s(-41).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 1061829 (base 10) in base 6?\nAnswer: 34431513","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3941*d - 17655734 = 3867*d. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -6 times 6509?\nAnswer: -39054","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*j + 18 + 7 = 0. Suppose j*n = 3 + 22. Suppose -5*c + c + 16 = 0. Solve -n*l + 6 = -c for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 13 a factor of 806?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k + 3*t - 7*t - 13 = 0, -2*t - 39 = -3*k. Let g = -8 - -11. What is the first derivative of -11*l**3 + 21*l**g - 1 - k*l**3 wrt l?\nAnswer: -9*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {x: 2, s: 2}. Give prob of picking 1 s and 1 x.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from chhhhch.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*((sqrt(68) + sqrt(68)*-2)\/sqrt(4)*-3 + (5 + sqrt(1377)*2)**2 + ((sqrt(153)*-3*2 + sqrt(153))\/(-3*sqrt(36)\/sqrt(4)))**2).\nAnswer: -100444\/3 - 1098*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 196, -4, 2, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n*n**(-4)*n**5*(n**(3\/5)\/n)\/((n*n*n*n**(-2\/17)\/n*n*n)\/n))\/(((n*n**4)\/n)\/(n**1*n)*(n**1*n)**(-32)) assuming n is positive.\nAnswer: n**(5161\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g = 4*n - 348, -3*n = 5*g - 245 - 10. Suppose -29*f - n = -44*f. What is the smallest common multiple of 33 and f?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -7 - -11 - (6 - (-7 + (-38)\/(-4)))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 29285?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*l + 2 = 2*y, 3*y + 1 = 5*y - 3*l. Is y less than or equal to 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = -6530*a**2 + 3266*a**2 - 2 + 1 + 3265*a**2 + a. Let x be (0 - (-12)\/(-16))*-4. Suppose -4*z + 3*t - 15 = 0, -x*z + 3*t = -4*z + 15. What is f(z)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 296 + -292. Suppose 0 = -2*z - 5*l + 995, 0*z - l = -k*z + 1957. Is 70 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 1088, 2130, 3112, 4034, 4896, 5698, 6440?\n\"Answer: -30*a**2 + 1132*a - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from zzzabbg. What is prob of sequence az?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 42*d - 294 = 0, 21*u - 24*u = -4*d + 40 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 439226640 a multiple of 2817?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 63\/77 + (-2)\/(-11). Let x be (-4)\/(-10)*(547 + -2). Let i = x - y. What are the prime factors of i?\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -36\/11 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (71 - 12 + 6)*(-90 - 5*n + 90).\nAnswer: -325*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -4, 36, -5, 46.\nAnswer: -5, -4, 3, 36, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Factor -y**2 + 567922*y - 80633849521.\nAnswer: -(y - 283961)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = r**3 - 2*r**2 - 3*r. Calculate w(-3).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 29203000 rounded to the nearest 1000000?\nAnswer: 29000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 0.3, 1\/3, -0.4, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 24\/4*(23023\/33 - -5)?\nAnswer: 2, 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9381817 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1 + 3. Which is the second biggest value?  (a) 1\/3  (b) 3  (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = 9*z**3 + 89*z**2 - 7*z - 3. Let f(j) = 4*j**3 + 45*j**2 - 3*j - 1. Calculate -7*f(t) + 3*y(t).\nAnswer: -t**3 - 48*t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1630226?\nAnswer: 2, 13, 62701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 1643744 - 124\nAnswer: 1643620","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4878.\nAnswer: 2, 3, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 648672.\nAnswer: 2, 3, 29, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 137, -2474, -9547, -23308, -45983?\n\"Answer: -371*z**3 - 5*z**2 + z + 512","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 3 divide 26 - (0 - (-3)\/3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 781063 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = 4*b**2 - 3*b + 17. What is the units digit of v(-6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -2452 + 41475?\nAnswer: 37023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -7 + (13 - 25) - 6?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -2586, -2559, -2512, -2445, -2358, -2251, -2124?\n\"Answer: 10*b**2 - 3*b - 2593","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3\/5*c**4 + 0*c + 0 + 3\/5*c**5 - 3\/5*c**3 - 3\/5*c**2.\nAnswer: 3*c**2*(c - 1)*(c + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 0.5, 0.03, -22.87?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1824?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = f + 52. Let v be z(-11). Suppose x + 4*t - 139 = 0, -v*t = -39*t - 2. Is x a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*n - y - 8, -4*n + 2*y - 8 = -3*y. Solve -x = -n*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 320 minutes before 5:07 AM?\nAnswer: 11:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -231 + 217.2. Let z = d + 13.79999908. What is z rounded to 7 decimal places?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 9329983 is divided by 2332489?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*w**2 - 310848*w.\nAnswer: -4*w*(w + 77712)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express 524*n - 6*n**2 + 0 - 551*n + 3*n**2 + 2 + 2*n**2 as i + r*n**2 + k*n and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 0.3  (b) -0.29  (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence arr when three letters picked without replacement from xlxfrwalxfxlwfwfwwww.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -3418, -6431, -8580, -9433, -8558, -5523?\n\"Answer: 72*i**3 - 3517*i + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -3f - 1a?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -62217 (base 8) in base 16?\nAnswer: -648f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 3631 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Work out -5699010.8 - 1.11.\nAnswer: -5699011.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h = 2*m - 17 - 2, 0 = -m - h + 7. Let n be (m\/6*-3)\/(2 + -4). Which is the smallest value?  (a) n  (b) -1\/6  (c) -2\/9  (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = -1614*g + 8053. Calculate o(5).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Put together 1284188 and -0.11.\nAnswer: 1284187.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = -8*q**2 - 3. Let m(i) = 14*i**2 + 5. Let o(u) = 3*m(u) + 5*w(u). Let a(d) = -d - 13. Determine a(o(x)).\nAnswer: -2*x**2 - 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 10010 and 880?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 958004 and 185.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from lrtttrlyllrrr. What is prob of sequence rtll?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Divide 4823 by -2.\nAnswer: -4823\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = -m**3 - 11*m**2 - 31*m - 25. What are the prime factors of b(-9)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = z + 8. Let h be o(-7). Let g = 1 - -1. Let m be h*(g - -2 - 1). Solve -m*t = -t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*s = -5*g + 29, -65*g + 25*g - 12 = 5*s - 41*g for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-4*(-2)\/8)\/(8\/(-16)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = h**2 + 2*h - 6. Suppose -3*a + 9 = -3*t, -a + 5*a + 5*t = 3. Suppose -g + b - 2 = 0, 2 = -a*g + 3*b - 3. Let c be g + 2 - (-18)\/(-3). What is i(c)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-4)\/((-4 + 3)*-1). Let l = -2 - a. Let f(g) = -6*g**l - 10*g**2 + 12*g**2. Let y(b) = -2*b. What is y(f(n))?\nAnswer: 8*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-96)\/(-16))\/((-3)\/(-9)*-2).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 375147027?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-39)\/(-7))\/((-81)\/(-17577)*93).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = -2*l**2 - 2*l - 5. Let z(j) = 4*j**2 + 3*j + 9. Give -5*g(v) - 3*z(v).\nAnswer: -2*v**2 + v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 589 minutes after 1:06 PM?\nAnswer: 10:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from zfozwf. What is prob of sequence wfo?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = -6*q**2 + 1. Let g(c) = c**2. Let k(p) = -b(p) - 5*g(p). Let h(w) = -10*w**2 + 12*w - 10. Let d(i) = -h(i) - 8*k(i). Find a, given that d(a) = 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-9)\/60)\/((-6)\/(-4))?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = m**2 + 5. Let n be o(0). Suppose 0 = n*y - 68 - 2. Calculate the remainder when 53 is divided by y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 20 - (-4 + 26 + -4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -24.50000047 - -24.5. What is g rounded to six dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 23*g - 43851 = -24*g. What are the prime factors of g?\nAnswer: 3, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -46 - -47. Let o(b) = 4*b - 2. Let v(k) = 15*k - 9. Let z(y) = 18*o(y) - 4*v(y). Let n be z(d). Solve 5*q + 5*w = -10, 3*q = -q + w + n for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) be the first derivative of -u - 6. Let w(k) = -2*k - 10. Let i(j) = 22*q(j) - 2*w(j). Let z(h) = -h + 1. Give -2*i(c) - 6*z(c).\nAnswer: -2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -8685821\/7480 + 19740\/17. Let b = -21301\/1320 + s. Find the common denominator of b and -121\/138.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, 0.3, -0.179, 3 in increasing order.\nAnswer: -1, -0.179, 0.3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.1712 and -0.5.\nAnswer: -0.0856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -11, -27, -49, -77, -111, -151?\n\"Answer: -3*q**2 - 7*q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((v**0\/(v*v**(-3\/7)*v))**10)**(-25))**(-42) assuming v is positive.\nAnswer: v**(-16500)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 229*w + 30 = 219*w + 600. Solve w*z + 21 = 50*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*i**2 + 0*i**2 + i**2 + 6376*i**3.\nAnswer: 6376*i**3 - 3*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -13459, -13461, -13473, -13501, -13551, -13629?\nAnswer: -13741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) 35\/4  (b) -7  (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l = -5*z - 19, 2*l = l - 2*z + 14. Suppose -x + 2*s = -6*x + 83, -l = -3*s. What are the prime factors of x?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2197*g**3*v**3 + 7*g**3*v + 14*g**3 - 5*g**2 + 257112*g*v**3 wrt g.\nAnswer: 13182*v**3 + 42*v + 84","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -16\/11?  (a) -15  (b) -1  (c) 123\/8  (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve h - 7*c + 2*c - 5 = 0, 2*h + 18 = -4*c for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1042)\/5210*(-3)\/(-6)?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5467.918 litres in millilitres?\nAnswer: 5467918","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1653.\nAnswer: 3, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -3\/7?  (a) -467  (b) -1  (c) -2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 113 - ((-1)\/(-1))\/(-1). Suppose -5*a + q = -6. Suppose 0*h + 2*h - a = 0. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 37184035 and 6665?\nAnswer: 6665","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:42 AM and 10:21 PM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 28848427?\nAnswer: 131, 220217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h\/(h\/h**(-24))*h)\/(h**(2\/113)*h*h))\/(h*h**8*h*h**(-2\/5)*h) assuming h is positive.\nAnswer: h**(-20124\/565)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3*6\/24*16\/6.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify u**(3\/8)\/u*u**(1\/3)*(u*u\/u**(3\/4))\/u*u*u\/(u**(-2\/13)\/u) assuming u is positive.\nAnswer: u**(971\/312)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -47\/304 and 97\/22230.\nAnswer: 177840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = 17*u + 50. What is i(-9)?\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = 2 - 6*n**2 + 155*n - 158*n - 912*n**3 + 913*n**3 - 1. What is w(3)?\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -79*l + 77*l - y + 24, 40 = 4*l - 2*y. Let d = 2 + -8. Let m be (-44)\/d*(-21)\/(-2). What is the greatest common factor of m and l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t - 5 = 0, -4*t - 52 = -3*d - 2*t. Calculate the smallest common multiple of d and 8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 4081\/2 + -2040. Which is the closest to 0?  (a) f  (b) -0.05  (c) 1  (d) 2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 40 (base 8) to base 3.\nAnswer: 1012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 675 minutes after 5:18 PM?\nAnswer: 4:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.27 - -0.03. Let d = -0.7 + n. Let j = d - -0.3. Do -0.1 and j have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.3 + 9. Let p = -15.7 + n. Which is the closest to 1?  (a) 1\/4  (b) p  (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = w**2 - 14*w + 11. Calculate c(9).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in -0.1, -2, -39, 5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 27527 - 27294. Is 236 at least as big as t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*i + 15 = -9. 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: 1d3d9f (base 16) to base 14\nAnswer: 37c51d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((4\/6)\/((-25)\/15))\/((-4841)\/(-266255)).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 18924, 37842, 56760, 75678, 94596?\nAnswer: 113514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-8)\/(-2 - 0\/1). Let w = r - 1. Calculate the highest common factor of 12 and w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: (189\/(-9765)*110\/(-132))\/(3\/(3*6))\nAnswer: 3\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*c = 6*c + 28. What are the prime factors of 9\/(-3)*(c - -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(165)\/sqrt(5)*4 - 4*-2*sqrt(33))\/((6*sqrt(162))\/(sqrt(6) - -4*sqrt(18)\/sqrt(3))).\nAnswer: 10*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = -q - 1. Let r be p(-3). Find the second derivative of -n**r + 4*n + 6*n**2 - 7*n wrt n.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:24 AM and 12:31 PM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 1 + (0 - -6) + -1 + -8\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 62 minutes after 9:00 AM?\nAnswer: 10:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, 0.13, -105, 5, 7, -6 in descending order.\nAnswer: 7, 5, 0.13, -3, -6, -105","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i + q = 12, 0 = i - 2*q - 0*q - 1. Factor -2\/5*b**i - 2\/5*b**4 + 0 + 0*b**2 + 0*b + 0*b**3.\nAnswer: -2*b**4*(b + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -482, -4104, -13942, -33104, -64698, -111832, -177614?\nAnswer: -265152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert -a728 (base 13) to base 5.\nAnswer: -1220222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = 1. Suppose -4*d = 1 + 19. Let h(c) = 9*c + 1. Let a(y) = -4*y. Let n(z) = d*a(z) - 2*h(z). What is n(r) + 4*t(r)?\nAnswer: 2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = -7*m**3 - 17*m**2 - 17*m + 20. What is u(-6)?\nAnswer: 1022","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -10*a**3*h**2*t**2 + 20*a**3*t**2 - 5*a**2*t + 3*a*h**2*t**2 - 10*a*h*t**2 + 3*a*h wrt a.\nAnswer: -60*h**2*t**2 + 120*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9*h - 26 - 47 - 6 + 1.\nAnswer: -9*h - 78","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) be the third derivative of k**5\/60 - k**4\/3 - k**3\/3 + 6*k**2 - 2*k. Let p be f(10). What is the greatest common factor of 42 and p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6 divided by 367341.\nAnswer: -2\/122447","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 830525, 3322105, 7474737, 13288421?\n\"Answer: 830526*j**2 + 2*j - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: (-1)\/4*(-24)\/33\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g**(2\/9)*g)\/(g\/g**(-2\/17)))\/(g**(2\/3)*g*g\/((g\/(g*g\/(g\/(g*g*g\/(g*g**2)*g)*g)))\/g)*g*g) assuming g is positive.\nAnswer: g**(-851\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = -t**2. Let l(h) = 4*h + 1. Let u(v) = -l(v) - x(v). Let g be 51\/12 + (-1)\/4. Let q be u(g). Which is smaller: -4\/5 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 147\/(-637)*(-1)\/(-3)*-1. Which is bigger: 85 or i?\nAnswer: 85","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 1834, 6358, 13594, 23542?\n\"Answer: 1356*p**2 + 456*p + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) be the third derivative of n**8\/6720 + n**7\/504 + n**4\/6 + 5*n**2. Let y(k) be the second derivative of l(k). Find the third derivative of y(x) wrt x.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4414 is divided by 185?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2826255973.\nAnswer: 14563, 194071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = 184*f**3 + 179*f**3 + f - 18 + 2*f**2 + 2 - 364*f**3. Determine o(0).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2416 = -3*m - 4*c, -2*c - 807 = m - c. Let h be m\/(-49) + 8\/(-14). Solve 10 = 2*b + h for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 20 - 0 - (2\/(-1) + 0). Let p(a) = a**2 + 14*a + 7. Let v be p(-15). Let k = x - v. Solve -16 = -4*z - k for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-144*s + 54*s + 38*s)*((s**2 - 4*s**2 + 4*s**2)*(-2*s + 0*s + 3*s) + 2*s - 2*s + s**3 - 2*s**2 + 2*s**3 + 2*s**2 - 3*s**3 + s - 6 + 6).\nAnswer: -52*s**4 - 52*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*d + 2*h = -12, h = 4 - 7 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2476, 2534, 2594, 2656, 2720?\nAnswer: 2786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 274 a factor of 539191?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 7 and 36?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 23\/64 and 49\/13588.\nAnswer: 217408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is (0 + (-121)\/(-22) + -7)*196\/(-6)?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) be the first derivative of h**4\/4 + 2*h**3 + 5*h**2\/2 - 2*h + 12. Determine n(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 90471702 and 1674.\nAnswer: 814245318","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 23814 or 2560.4?\nAnswer: 23814","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 + 72 + (174 - 131) + -32.\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = -k**3 - 11*k**2 + 22*k + 28. Let q be a(-13). Let l = q - 58. Does 2 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -5443, -5425, -5433, -5467, -5527?\nAnswer: -5613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o + 6 = 22. Let p = o - -30. List the prime factors of p.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -49618.5 - -49606.50028. Let t = -19 + 31. Let m = t + k. What is m rounded to 4 dps?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -f*g*t - 4*f*g - 28*f - 16*g*t wrt t?\nAnswer: -f*g - 16*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 444680385 to the nearest integer?\nAnswer: 21087","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -1465 (base 7) in base 14?\nAnswer: -2dc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 143 is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -103\/6 in 2, -0.2, -4, 0.5, 1, 4\/15?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -4848.99366 rounded to the nearest integer?\nAnswer: -4849","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -691 - -8296\nAnswer: 7605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 103 - 75. Calculate the remainder when 141 is divided by q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-8)\/68 - (-13244)\/3332. What is the closest to -2 in 5, 2\/9, i?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 43612.1097 to the nearest 1000.\nAnswer: 44000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, -5, 26, 93, -2, -4, -22 in increasing order.\nAnswer: -22, -5, -4, -2, 5, 26, 93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k - 77 = -113. Solve 5*i - 1 = -4*r + 2*i, -k = -4*r + 5*i for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 230*y**6 - 6*y**4 - 22567*y**3 - 487*y**2 - 2*y - 53494.\nAnswer: 27600*y**3 - 144*y - 135402","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r = 2*g + 56, -r - r + 42 = g. Let m be -2 + (-4)\/r*0. Let y be ((-9)\/m + 3)*8\/(-24). What is the second biggest value in y, 0.1, 4, -0.3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-3 + (-11)\/(-4))*(-73 - -37)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -119*x + 2499 = -0*x for x.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 14\/(4*2\/8). Suppose -3*w - 17 = 3*y + 1, 3*y + w + a = 0. What is the closest to 1\/2 in -5, y, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*w - o + 9 = 0, 0 = 4*o - 4. Let d be (-6)\/((-2 + 24)\/w). Let i = 9.947 + 0.053. What is the smallest value in d, i, 0.4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*n - 6 = -1. Suppose n = u - 2. What are the prime factors of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.01*-0.53\nAnswer: -0.0053","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 312 or 19423?\nAnswer: 312","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**(-3\/26)*d*d\/(d*d\/d**(-2)))**(-38) assuming d is positive.\nAnswer: d**(1045\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:37 AM and 3:39 PM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 24\/(-108) - (-454)\/18 is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = l**3 + 13*l**2 - 4*l - 18. Calculate v(-13).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:41 AM and 1:22 PM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*v + 7*v = -10. Let l(y) = 46*y**2 - 35*y + 36. Let a(q) = 9*q**2 - 7*q + 7. Let j(g) = 11*a(g) - 2*l(g). Is j(v) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 81.631 to the nearest 10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 10*o - 105*o + 11*o to d + x*o and give x.\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort -31, 149, 6871, 5 in decreasing order.\nAnswer: 6871, 149, 5, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.2438 - 0.226. Sort 0.1, n, 0 in descending order.\nAnswer: 0.1, n, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 206 + -205.9. Is 0.032 >= p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 7 - 7. Let n = 0.19 - x. Let k = -0.09 + n. What is the biggest value in -1, k, -3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w = -2*h + 441, 3*w + 1130 = h + 4*h. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 91.99757 + -92. Round i to four decimal places.\nAnswer: -0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (44\/(-8))\/(1\/(-2)). Calculate the highest common divisor of 143 and l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {h: 10}. Give prob of sequence hh.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 5, 3, -3, -13?\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + 3 + 1*(1 + sqrt(171)*1*-6).\nAnswer: -18*sqrt(19) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -17?  (a) -2281  (b) -0.3  (c) -1.3  (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -39*c - 11*c**3 - c**3 - 56*c + 95*c.\nAnswer: -12*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 9605 is divided by 3166?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t - 152 = -3*a, 5*t - 178 = -5*a + 72. Determine x, given that -18*x**5 + 78*x**4 + a*x**2 + 3*x - 3*x**5 - 7 - 102*x**3 + 1 = 0.\nAnswer: -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -84 + 88. Suppose 2*g = -3*n + y*g + 40, -n + 15 = -g. Calculate the lowest common multiple of 4 and n.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -298, -605, -912, -1219, -1526?\n\"Answer: -307*d + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of ((-1)\/(-4))\/1 - 578799\/(-468)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 145 divided by 60?\nAnswer: 29\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.18 + -9.82. Let o = -10 - s. Let v = 2.4 - 1.5. Is o at least v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3275 - 3275 + 3*u.\nAnswer: 3*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2\/11*(-154)\/140.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = 5*m**2 - 10*m. Let q(n) be the first derivative of -n**3\/3 + 22. Determine g(q(l)).\nAnswer: 5*l**4 + 10*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Round -803310 to the nearest one thousand.\nAnswer: -803000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, -68, 71, -1, -3, 48 in ascending order.\nAnswer: -68, -3, -1, 4, 48, 71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from vnavvvannvanvvaa. What is prob of picking 2 a?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 35906?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + -3*sqrt(72) + 3 - (sqrt(64)*-1 - sqrt(64) - sqrt(64))\/(2*-1*sqrt(8)).\nAnswer: -21*sqrt(2) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -35  (b) -0.1  (c) 6  (d) 5  (e) -0.4  (f) 18.53  (g) 1\/6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from {n: 6, f: 4, s: 4}?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4*k - 5*k + 2*k + 2*k - 2*k + 2*k + (2 - 2 - 2)*(-2*k + k - k) + 2 - 2 - k + 2*k - 5*k + 4*k - 2*k - 18 + 16 + 41*k - k + 0 + 0.\nAnswer: 45*k - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 24478, 23138, 21798, 20458, 19118, 17778?\nAnswer: 16438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**6*k**(2\/17)*k*k**(-3)\/((k\/k**(-1\/3))\/k*k))\/((k**(2\/5)*k**(-3))\/(k**(-2\/9)\/k**3)) assuming k is positive.\nAnswer: k**(1654\/765)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -248 (base 13) to base 3\nAnswer: -112202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 475357133 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 274.06 and 1?\nAnswer: 273.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = -i + 11. What is w(13)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -14, 0 in descending order.\nAnswer: 3, 0, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = -4 - 2 - h + 7. Let b(g) = -8*g + 9. Give -2*b(v) + 18*f(v).\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = t - 333 + 330. What is the closest to t in -1, -5, -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from iiiiiii. What is prob of picking 4 i?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from jjj?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (5*y - 4*y + y)*((-1 - 2 + 1)*(-3 + 5 + 8) + 1 + 2 - 5) to the form k*y + d and give k.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -9166 + 17435. Let x = p + -32649\/4. Let d = x - 106. Is 1 greater than or equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/5 of a kilometer in meters?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express -71*l**2 - 280 + 13*l - 13*l + 72*l**2 in the form k + x*l**2 + i*l and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-2140)\/100 - -21) + 34\/10 - 1130\/378?\nAnswer: 2\/189","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x + 7*x = 0, -x = 4*n - 12340. Is n\/10 - (-9)\/(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2800 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 53011315 and 30.\nAnswer: 318067890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 71\/80 and -149\/115200?\nAnswer: 115200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 987 at least 1\/671?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.32 + -0.12. Which is the second smallest value?  (a) s  (b) 0.5  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 2370 and 4345.\nAnswer: 26070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 14 + -24. Let u(x) = -x**3 - 9*x**2 + 7*x - 13. Let h be u(o). Let m = 31 + h. Does 7 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence nnbn when four letters picked without replacement from {b: 2, n: 5}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 8.7 + -8.3. Which is the second biggest value?  (a) q  (b) 2\/7  (c) 4  (d) -2.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -555 - -550. Let h be (-28)\/5*q\/2. What is the greatest common divisor of h and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 288584493 to the nearest 100000.\nAnswer: 288600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 71585*d*y**2 + 26*d + 519 wrt y?\nAnswer: 143170*d*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 2145640 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = 3*w, 5*t + 0 = 5*w + 5. Suppose -5*v + 71 = -t*x, v = 3*v + 2*x - 20. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2)\/(50\/15)*12\/9?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.2664344 days to hours.\nAnswer: 6.3944256","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 4478 to the power of 1\/2, to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 270422.\nAnswer: 2, 135211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20*v - 16*v = -16. Put -2\/5, 0.056, -2, v in decreasing order.\nAnswer: 0.056, -2\/5, -2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 1.937391 hours?\nAnswer: 116.24346","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) be the second derivative of j**6\/720 - j**4\/6 + j. Let o(k) be the third derivative of b(k). Let p(s) = 4*s. What is p(o(t))?\nAnswer: 4*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand 541 - 160*n**2 - 541 - 3*n**2 + 3*n**2 - 3*n**2 + (-3*n + 2*n - n)*(-3*n + n + n).\nAnswer: -161*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -296295*t**2 + 1176*t - 20.\nAnswer: -592590","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 927617.6us to seconds.\nAnswer: 0.9276176","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -391606 (base 12) in base 14?\nAnswer: -1a5010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 503007?\nAnswer: 3, 107, 1567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -m**3 - m**3 + 34*m**3 - 3*m**3 - 6*m**3.\nAnswer: 23*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**(1\/2)\/s)**(2\/9)\/((s*s\/s**(-3\/13))\/(s**6\/s)) assuming s is positive.\nAnswer: s**(311\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = p**2 + 5*p - 4. Let d(g) = -33*g - 156. Let q(k) = 23*k + 105. Let u(b) = -5*d(b) - 7*q(b). Let a be u(-13). Determine w(a).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9120 divided by -570?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: (((21\/(-126))\/((-1)\/(-2)))\/((-6)\/18))\/(-64)\nAnswer: -1\/64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put -10, -32\/7, 3\/4, 3, 2\/9 in increasing order.\nAnswer: -10, -32\/7, 2\/9, 3\/4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in eighteen fifths of a litre?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 224, 712, 1202, 1700, 2212, 2744, 3302, 3892?\n\"Answer: i**3 - 5*i**2 + 496*i - 268","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = -o**2 - o + 6. Let d be l(6). Let w be 7179\/d + 3\/(-9). Let t = w + 183. Calculate the common denominator of t and -26.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = 2*h + 2. Let y be o(-3). Is (-1)\/y + (-393)\/(-12) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 28 a factor of 4046?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 v and 1 r when two letters picked without replacement from rvrvrhrrzrzrrrrrrrv?\nAnswer: 13\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) be the third derivative of 29*p**4\/24 - 8*p**3\/3 + 17*p**2. What is the first derivative of h(f) wrt f?\nAnswer: 29","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 252\/70*17\/153. Let -o*j - 72\/5*j**4 + 76\/5*j**2 - 4\/5 + 2\/5*j**3 = 0. Calculate j.\nAnswer: -1, -2\/9, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 526298.\nAnswer: 2, 79, 3331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 8 (base 15) to base 7\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 3824 or 3829?\nAnswer: 3829","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -11*g - 27*g - 18*g + 8*g to the form z*g + k and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express (3*j - 3*j - 5*j**2 + (4*j + 2*j - 5*j)*(0 - 2*j + 0))*(-2*j + 4*j - 3*j) in the form s*j**2 + w + r*j**3 + k*j and give r.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -1944 - -1962. Solve -1 = -19*u + n*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9\/3*5\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-563*m**4 + 450*m**2 - m**3 - 232*m**2 - 221*m**2)*(-5 - 3 + 11) to v + g*m**4 + j*m + i*m**2 + b*m**3 and give g.\nAnswer: -1689","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from qfqfqffffqfffgfffrq. Give prob of sequence fq.\nAnswer: 10\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 10895161681 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3*n**3 - 3 + 3 + (5 + 3*n - 5 - n**2)*(-2*n - 2 + 2) to the form h*n**3 + k*n + m*n**2 + d and give m.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-9 - 76\/(-8))\/((-1)\/12) - -9. Factor 0*p**2 - 9\/5*p**b + 12\/5*p + 3\/5*p**4 + 0.\nAnswer: 3*p*(p - 2)**2*(p + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*y = -12, -40*y = -4*v - 35*y - 30 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 7, -1\/41, -1\/4, 2\/7, -7?\nAnswer: -1\/41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y - 3 = 1. Let d = -0.0663 + 111.1663. Let f = d + -114. Which is smaller: y or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -70394\/459 < -152?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -25.1967 + 25.2. Let g = 0.0967 + t. What is the closest to -0.1 in 3, -37, g, 1\/7?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 2 - 2*b)*(b**3 - 3*b**3 + 0*b**3) - 6*b**4 + 234*b**3 - 234*b**3.\nAnswer: -2*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 13056, 26315, 39666, 53109, 66644, 80271, 93990?\nAnswer: 107801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -49\/368 + -43\/368. Which is the fifth smallest value?  (a) 3  (b) j  (c) -0.018  (d) -1  (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -dda8 - -167?\nAnswer: -dc41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16*r + 148 - 69 - 31 = 0. Let h = -40 - -25. Does 5 divide 15*(r + (-140)\/h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 50706241 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -1493 - -6147. What is the thousands digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.031 take away -2.443611801?\nAnswer: 2.412611801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 90956 to the power of 1\/3, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 208 and 676.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 15, 2, -129063, -5 in descending order.\nAnswer: 15, 2, -5, -129063","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w + 6 = -0*w, 3*w - 26 = -5*m. Suppose m*j - 8 = 3*j. Suppose j*q - 10 = -0. Let o(k) = k**3 - 5*k**2 + 6. What is o(q)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 6402, 6666, 6938, 7218?\nAnswer: 7506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 527388?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 2380 - 2286 + 7*z - 13*z - 1046*z**3 + 5*z with respect to z.\nAnswer: -3138*z**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 27 + 4 + 13 - 47\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 31610?\nAnswer: 2, 5, 29, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -31 + 33. Let u(d) = 2*d**2 - 2. What is u(k)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 254 is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -15 = -126*o + 124*o + p, 0 = -4*o - 5*p - 5 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand -168*n**2 + 58*n**2 + 59*n**2 + 3*n + 158*n**3 + 51*n**2 + (n - 2*n**2 - n)*(0 + 3*n + 0).\nAnswer: 152*n**3 + 3*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1.2 + 5.2. Let q = 8 - f. Which is the second biggest value?  (a) -0.3  (b) 0.4  (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) = -w**2 + 3*w + 1283. Let h(a) = -213*a. Give h(p(y)).\nAnswer: 213*y**2 - 639*y - 273279","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from ovlrvhvvlhro?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 96 - 138. Let j be (-18)\/6*l\/9. What is the greatest common factor of 112 and j?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = -w**2 + 22*w + 274. Let k be m(31). Let o(d) = -14*d**3 - 15*d + 13*d**3 - 8 - d**2 - 3*d**2 - 10. What is the tens digit of o(k)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 2 + 0)*(2*i - 2*i - 2*i) - 2*i + 2*i - 3*i + i - 5*i + 2*i.\nAnswer: -3*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = d**3 + 2*d**2 - 5*d - 4. Let x be g(-3). Let f = 6 + -6. Suppose 0*z + x*z = f. Solve 0 = -w - z*w - 2 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-22)\/(-6) - 44\/66. Solve -b*l + 10 = 1 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 67, 2\/345, -1\/5 in ascending order.\nAnswer: -1\/5, 2\/345, 67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q = y + 30, -3*q - 2*q - 4*y = -101. Is q a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 17 + (4 - 0) + -8. Let t(y) = 3*y - 16. Is t(k) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -125, -248, -369, -488, -605, -720?\n\"Answer: b**2 - 126*b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -393*w**4 - 4*w**2 + 5*w + 9*w + 27*w**6 + 395*w**4 wrt w.\nAnswer: 3240*w**3 + 48*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 5 and 865.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = -2*j - 2. Let z(m) = 63*m + 34. Let s(t) = 3*w(t) - z(t). List the prime factors of s(-2).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = 94*o - 352. Calculate the remainder when 410 is divided by b(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor m**3\/2 - 387*m**2\/2 + 3039*m\/2 - 2653\/2.\nAnswer: (m - 379)*(m - 7)*(m - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 5920375 to the power of 1\/3, to the nearest integer?\nAnswer: 181","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Are 8\/43 and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(495)*-1)\/(sqrt(720)*-1)*-1.\nAnswer: -sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2?  (a) 0.2  (b) -3  (c) 0  (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 2, 630, 0, 623, -2 in ascending order.\nAnswer: -2, -1, 0, 2, 623, 630","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -627 - 6?\nAnswer: -62d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -132.9 - -129.9. Sort 349, v, 7, 0.3 in descending order.\nAnswer: 349, 7, 0.3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 34283322*f**3*q**2 + 110*f**2*q**2 - 2*f**2*q - 233*f**2 + f*q**2 wrt f.\nAnswer: 205699932*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1251*y**2 - 2801*y**2 + 1591*y**2.\nAnswer: 41*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 149\/1836 and 59\/34.\nAnswer: 1836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 96248681?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = -3 + 3 - b + 4. Let z(l) = l**2 - 11*l + 9. Let v be z(9). Is u(v) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = -r + 1. Let n(a) = 179 + 174 - 343. Let c(f) = -n(f) - 2*o(f). Calculate c(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -13*266.\nAnswer: -3458","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 578166 or 578168?\nAnswer: 578166","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -63 - -63. Suppose 22 = 4*d + 2. Suppose -d*m + m + 208 = p. What are the prime factors of m?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-535)\/(-214))\/((-15)\/(-36852)). Calculate the highest common divisor of n and 74.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 137, 0.36, 0.06 in descending order.\nAnswer: 137, 0.36, 0.06","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2448 is divided by 422.\nAnswer: 338","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 s and 1 k when two letters picked without replacement from {k: 2, s: 2}?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 1*(-2 - 1) - -4. Suppose 4 = -5*x + 9. What is the highest common divisor of x and b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o**(-1\/4))**(-7)\/(o**(-2\/3)\/o*o)**(-3\/4))**14 assuming o is positive.\nAnswer: o**(35\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*w = 5*t - 33, -91*w - 14 = -89*w - 2*t for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 4353 rounded to the nearest one thousand?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -436 - -432. Let b(a) be the first derivative of -a**2 + a - 3. Let i be b(-2). Sort 3, i, z.\nAnswer: z, 3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 25.041477 rounded to two dps?\nAnswer: 25.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 15278*a**5 + 11422*a wrt a?\nAnswer: 305560*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is eighteen fifths of a microgram in nanograms?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = -74*d**4 - d**3 + 21. Let y(j) be the third derivative of -j**6\/120 - 9*j**2. Let s(a) = y(a) - z(a). What is the derivative of s(l) wrt l?\nAnswer: 296*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*l**3 + 413*l**2\/3 - 113*l - 68\/3 = 0 for l.\nAnswer: -1\/6, 1, 68","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1418752041 to the nearest integer?\nAnswer: 37666","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-9 - (-5 + 0)) + -2?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -50176, -50185, -50194, -50203, -50212, -50221?\nAnswer: -50230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 0.95*0.082\nAnswer: 0.0779","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = -9*s**2 - 13*s + 13. Let w(q) = 3*q + 8. Let u be w(-2). Let j(m) = 142*m**2 + 6 - 6*m - 290*m**u + 144*m**2. What is -13*j(o) + 6*l(o)?\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 19 and 247.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 4227\/24 + (-2)\/16. Let k(m) = 4*m - 4. Let n be k(5). What is the greatest common factor of i and n?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1310335.\nAnswer: 5, 13, 19, 1061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 4131 - 1084. Calculate the remainder when n is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p + 4 = 3*d, -5*p = -21*d + 22*d - 44. Let a(l) = -2*l**3 + 5*l**2 - 2*l - 4. Let g(j) = j**3 - 3*j**2 + j + 2. What is d*a(q) + 7*g(q)?\nAnswer: -q**3 - q**2 - q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Does 253 divide 39044731?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y = -8*y + 3*y. Suppose y = 4*u - 14 - 10. Suppose -2*f + 6 = 0, -c - 5*f + 14 + u = 0. Solve 5*h = -5*n, -c*h = -3*n - h + 21 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -82\/1208055 and -99\/10.\nAnswer: 2416110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) be the third derivative of m**6\/120 - m**5\/6 + 3*m**4\/8 - 17*m**3\/6 + 84*m**2. Let q be i(11). Calculate the highest common factor of q and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -26*v + 18560 = -6*v. Let z = v + -305. Is z a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 2*((-8 - -1) + 2) - -1. Is -11 < h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = -o**3 - 6*o**2 - 5*o + 2. Let m be a(-5). Suppose 2*x - 272 = -m*x. Is x a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 603 minutes before 9:53 PM?\nAnswer: 11:50 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"}
{"text":"Question: Convert 17e62d (base 16) to base 8.\nAnswer: 5763055","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 a factor of 9699081?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -956.376 * 2\nAnswer: -1912.752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = -a**3 - 5*a**2 - 3*a + 6. Let p be x(-4). Suppose p*y = -7 + 25. What is the remainder when y is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = -2*i**2 - 19*i + 73. Let a be r(2). What is the highest common factor of a and 243?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:07 PM and 6:41 PM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v**(-10)*v*v**(-8)*v*v)**(-35))**(-15) assuming v is positive.\nAnswer: v**(-7875)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 273668?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 2504, 4240, 5976, 7712?\n\"Answer: 1736*b + 768","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 10091 - 6910. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 11304 in 4, -13, 0, -5, 0.1, 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w + 221 = 205. Calculate the remainder when 238 is divided by w.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 25\/35*(-63)\/(-105).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 62 - 12. Does 10 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1949.\nAnswer: 1949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*l + 2*l + 153*m - 105*m + 144 = 0, 0 = -2*l + 2*m + 20 for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 165537 - 100876. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*b**3\/3 - 20*b**2\/3 + 5*b.\nAnswer: 5*b*(b - 3)*(b - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, -6, 1, -383 in decreasing order.\nAnswer: 2, 1, -6, -383","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) be the third derivative of -m**4\/8 + 21*m**2. Let x(b) = 8*b + 5. Give a(x(u)).\nAnswer: -24*u - 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: (252\/(-84))\/(24\/28)\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 176 minutes after 1:09 PM?\nAnswer: 4:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 205*j**2 - 104*j**2 - 96*j**2.\nAnswer: 5*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Factor -52*c**3 - 203852*c**2\/5 - 39962048*c\/5 - 1843968\/5.\nAnswer: -4*(c + 392)**2*(65*c + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = 122*m - 278. What are the prime factors of s(11)?\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {p: 2, u: 1, a: 2, h: 4, q: 9, j: 2}. What is prob of picking 1 a and 1 p?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 131363\/4 greater than 32841?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = -22753*t - 5. Determine o(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1206 and 322605.\nAnswer: 603","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -1\/43  (b) -6.58  (c) -2\/7  (d) 3  (e) 4  (f) -5  (g) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = 6*m**2. Let w(t) = -t - 5. Suppose 0 = a - 7*a - 42. Let o be w(a). Let c(s) = -o*s + 6*s - 3*s**2 - 4*s. Determine c(d(r)).\nAnswer: -108*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = -28*a**3 - a. Let u be o(-1). Suppose 18*t - 7 - u = 0. Solve t*i + 35 = -5*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -136 - -248. Is l a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -300+-6.775\nAnswer: -306.775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*r - 5*i + 40 = 0, -5*r + 26 = -2*r - 2*i. Let u = 21 - r. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17*v + 406833 = 24*v - 20*v. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -124 + 126. Suppose i + 14 = -0*i - 4*h, 4*i - 28 = 5*h. Let k(l) = -l + 2. Let w be k(i). Which is the nearest to -1?  (a) x  (b) 3\/7  (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = -p**3 - 9*p**2 - 8*p + 3. Give d(-7).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d be -1*3\/(-3) - 0. Let g(z) = 3*z**2 - 2*z + 1. Let j be g(d). Suppose -j*a + 0 = -18. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 0.04, -1\/32, -3\/8, -0.4, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from pwphjpphwhhhhhpih. What is prob of picking 2 w?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in g**2 - 434*g - 20*g**3 - 18*g**3 - 434*g - 419*g + 1287*g.\nAnswer: -38*g**3 + g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 + (-1 - 0) + 2 - (25 + 5 + -10).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 2779 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve u**4 + 696*u**3 + 163506*u**2 + 13424896*u + 108080901 = 0 for u.\nAnswer: -229, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 125921 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: ((-141)\/(-235))\/((-6)\/(-4))\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1932 - -13473\/7. What is the common denominator of 16\/49 and o?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -41 = -42*r + r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Determine z so that 90 - 2*z**3 + 6*z**2 - 90 = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -17.4032144 rounded to the nearest integer?\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 20 - -324?\nAnswer: 344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 530 - 358. Suppose 2*h = -0*h + o. What is the remainder when h is divided by 10\/(-35) + (-1343)\/(-119)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4 divided by -1089287\nAnswer: -4\/1089287","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = 336*l**2 - l + 1. Let v be o(-1). Let w = -78 + v. What are the prime factors of w?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from {h: 3, d: 4}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*j + 2*j - j)*(-6 + 6 - 4*j)*(-3*j - 2*j + 3*j).\nAnswer: -8*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 g and 1 a when four letters picked without replacement from aaaaguugaauaaagu?\nAnswer: 9\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 67601 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = -33*n - 198. Let o be j(-6). Factor 24*q**3 + o*q + 14\/3*q**5 + 0 - 16\/3*q**2 - 20*q**4.\nAnswer: 2*q**2*(q - 2)**2*(7*q - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 13, -6, -39, -86, -147, -222?\nAnswer: -311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3 - 4 + 2)*(-5 + 1 - 79 - v) to k*v + a and give a.\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: ((-52)\/16)\/(655\/(-524))\nAnswer: 13\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 56529059 * -23\nAnswer: -1300168357","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*q - m - 25, -4452*m = 2*q - 4451*m + 18 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((1*sqrt(130) - sqrt(130))*5)\/(-2*sqrt(360)) + 0 + -1 + sqrt(117) + 1)**2.\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2*n**2 + 0*n**2 + n**2)*(142 - 142 - 32*n) - 3*n**2 + 3*n**2 - 2*n**3 in the form y*n**3 + w*n + u + d*n**2 and give y.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort -943, -0.08, -4 in descending order.\nAnswer: -0.08, -4, -943","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Does 14 divide 68217660?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is nineteen ninths of a week in minutes?\nAnswer: 21280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = 4*a. Let h(c) = -10*c**2. Give h(i(j)).\nAnswer: -160*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 658659, 658121, 657581, 657039?\n\"Answer: -y**2 - 535*y + 659195","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 134\/7 in -4\/5, 3\/83410, -2?\nAnswer: 3\/83410","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 13 a factor of 2473950063?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*c - c - c)*((3 - 1 - 1)*(2 - 4 + 0) + 3 + 2 - 4 - 40 - 4 - 6)*(111 + 98 + 5).\nAnswer: -21828*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*l + 10 = 0, -3*r - 6*l + 3*l = 63. Let q = 45\/2 + r. Which is the closest to 1?  (a) q  (b) -3  (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*l**3\/15 + 242*l**2\/15 + 9694*l\/15 + 128686\/15 = 0. Calculate l.\nAnswer: -47, -37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 1722023 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -48959*0.066.\nAnswer: -3231.294","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 826 and 548254?\nAnswer: 32346986","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -26*j + 27*j - 5*j**5 - 12*j**5 wrt j.\nAnswer: -340*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3808 to the power of 1\/4, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -232, -541, -850?\nAnswer: -1159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*m - 2*v + 2792, 1783*m - 1781*m + 5*v - 1396 = 0. Are 698 and m unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b = -b + 4*p - 20, -2*b = 4*p - 20. Let z be (2\/12)\/((-2)\/(-8)). Factor 4\/3*c**2 + b + z*c + 2\/3*c**3.\nAnswer: 2*c*(c + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*r - 140 = 45. Let t = r - 26. Suppose g - 44 = -2. Calculate the remainder when g is divided by t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 279 minutes before 5:33 AM?\nAnswer: 12:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = 6*k**2 - 23*k + 121. Is 95 a factor of n(17)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 755520797 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -831.8961 + 832. Round j to one decimal place.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:32 AM and 3:05 PM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 25022?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 761 (base 9) to base 2\nAnswer: 1001101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c*c**(-3\/10))**(-2\/27)\/((c*c\/c**(1\/9))\/c**(-13)) assuming c is positive.\nAnswer: c**(-2017\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -26\/5?  (a) -1\/6  (b) -1\/5  (c) -111  (d) -1\/4  (e) -8  (f) -0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*x**3\/5 - 1004*x**2 - 75698*x\/5 - 26260 = 0. Calculate x.\nAnswer: -13, -2, 2525","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 38*c = 15*c - 92 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 5 + (-6 + (5 - 1) - (-5 + 34 - 46))\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 384817273 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 23*t - 42447 - 16939. What are the prime factors of t?\nAnswer: 2, 1291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = 7*n**2 - 5 + 4 + n**4 - 4 + 3*n. Let z(h) = 0 - 2 + 8 - 8*h**2 - 4*h - 2*h**4. Let p(f) = 4*o(f) + 3*z(f). Factor p(q).\nAnswer: -2*(q - 1)**2*(q + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -221012212011212 + 10?\nAnswer: -221012212011202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, -4, -1, 3 in decreasing order.\nAnswer: 3, 2, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*r**4 + 2*r**4 + 0*r**4 + (r - r - 3*r)*(-2*r**3 + r - r) + (-141*r + 9 - 116*r + 271*r)*(3*r**3 + 0*r**3 - 5*r**3).\nAnswer: -23*r**4 - 18*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 146 - 146.000368. What is x rounded to 4 dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 73\/128740 and 113\/2198?\nAnswer: 901180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = -a + 11. Let r(c) = 1. Let w(x) = 2*d(x) - 22*r(x). Let m(f) = -2*f. Determine m(w(s)).\nAnswer: 4*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -271, 3\/4, -2\/15, 1\/3, -27 in descending order.\nAnswer: 3\/4, 1\/3, -2\/15, -5, -27, -271","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6763 is divided by 1127?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express 51*y + 83*y - 16*y + 33*y as r + v*y and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 581393?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 5*78\/117*(-9)\/150*3.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = 39. Let z(n) = -n**2 - 42. Calculate -3*b(a) - 2*z(a).\nAnswer: 2*a**2 - 33","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence kfx when three letters picked without replacement from {h: 2, a: 1, x: 7, c: 2, f: 1, k: 2}.\nAnswer: 1\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 r when three letters picked without replacement from mogrmriiorrmii?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = -1975*r - 200. Let w(u) = -20*u - 2. Let a(x) = o(x) - 100*w(x). Let i(q) = -40*q**2. Determine a(i(k)).\nAnswer: -1000*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -22622 - -67868\/3. Which is the second smallest value?  (a) r  (b) -0.5  (c) 1019  (d) 0.5  (e) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 121 divide 9196?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = m + 38. Suppose -9 = 5*r + 4*v, -v = -0*r + 3*r + 11. Let h(a) = -2*a - 57. Let l(b) = r*h(b) - 8*n(b). What is the derivative of l(t) wrt t?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: a7c23b (base 13) to base 5\nAnswer: 2002031414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -53208039 + 128387981. Let d = -8871154097\/118 + j. Let h = d - 670. Do 1 and h have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.07 * 0.00423866\nAnswer: -0.0002967062","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p - 193 = 3*s, -518 + 97 = -2*p - s. Let l = p - 203. Solve 0 = l*t - 9 - 6 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) = -20*b**2. Let t(g) = -12*g + 70. Let s be t(5). Let c(z) = -z**2. Determine s*c(f) - n(f).\nAnswer: 10*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -4.98 - -5. Let z = 0.28 + r. What is the second biggest value in -2\/7, -0.4, z?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 6557 * -98.\nAnswer: -642586","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1 + (-20)\/8)*16\/(-60).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -2 - -4. Let a = 1316 - 1316. Let o be (-18)\/(-8) + (-2 - 0). What is the closest to k in o, 2\/13, a?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 2.340622 millennia?\nAnswer: 28087.464","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*f - 370*f**2 + 370*f**2 + 36*f**4)*(10*f + 6 - 6).\nAnswer: 360*f**5 + 20*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-120)\/9*(12\/8 + -3). Let g(r) = 1 - 21*r - 8 - t. Suppose -5*x - 5*l + 5 = 0, 0*x + 31 = 4*x - 5*l. Let f(b) = 3*b + 4. What is x*g(y) + 27*f(y)?\nAnswer: -3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.1 - 26821?\nAnswer: -26821.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12*a = 9*a - 12 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-4)\/(-18) - (-1344)\/(-216). Let o be (5\/i)\/(6\/(192\/(-40))). Suppose 2\/3 - o*a**2 - 1\/3*a**3 + 1\/3*a = 0. Calculate a.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 89*o + 65 = 5*j + 99*o, j + 22 = 5*o. Solve -27 = j*f - 3*w, 142*w - 145*w + 22 = -2*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3722 is divided by 3712?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 225709 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2\/(((-16)\/(-3))\/(-4)).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 64448*q**2 - 25877*q**2 - 38576*q**2.\nAnswer: -5*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*m + 0*m + 16 = 0. Let x(u) be the first derivative of -u**2\/2 - u - 2. Let b be x(-7). Calculate the highest common factor of b and m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*t**3 + 9168*t**2 - 18352*t.\nAnswer: 4*t*(t - 2)*(t + 2294)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express -37*c**2 + 6*c**3 + 34*c**3 + 2 - 34*c**3 in the form b*c**3 + n + x*c + i*c**2 and give b.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 62 minutes before 8:02 AM?\nAnswer: 7:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) be the first derivative of 2 + 0*q + 0*q**2 - 9\/4*q**4 - 13\/3*q**3. Let a(n) = 0*n**2 - 9*n**2 + 2*n**2 - 5*n**3. What is 11*a(f) - 6*c(f)?\nAnswer: -f**3 + f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 3 + 1 + (-1 - 2 + 1)*(-451 - 219 + 117))*(v**3 + 2*v**3 - v**3).\nAnswer: 2216*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Determine z so that -5*z**5 + 1310*z**4 + 1405*z**3 - 23590*z**2 - 21200*z + 42080 = 0.\nAnswer: -4, -2, 1, 4, 263","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 126 + -183. Let u = -47 - l. Let f = u + -5. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = -3*y**2 + 3*y + 5. Let k(b) = b**2 - b - 2. Calculate 8*k(u) + 3*l(u).\nAnswer: -u**2 + u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 25 and 3275?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:21 AM and 8:44 AM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (29 + 33 - 61)*(-2*l**2 + l + l + 3 - 4).\nAnswer: -2*l**2 + 2*l - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c = -3*c + 8. Suppose 0 = -b + 5*b - c*j - 332, -j = -4. Suppose 3*s + 4*r - b = r, -2*r = -2. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000013437 rounded to six decimal places?\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1000)*-1)\/(6*(sqrt(2) + sqrt(8)\/sqrt(4))).\nAnswer: -5*sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a - 587 = 2*i + i, -3*i = -3*a + 1761. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -345*p + 2*p**2 - p**2 + 361*p to the form h + a*p + r*p**2 and give a.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 34*c = 25*c. Suppose -p + 2*n + 502 = -0*p, -2*p + n + 1019 = c. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 224051?\nAnswer: 449, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 2 + 26?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 1cb086 - 1?\nAnswer: 1cb085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 19*z**4 - 2*z - 5 wrt z.\nAnswer: 228*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:26 PM and 6:08 PM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -13 - -543. What is the common denominator of -47\/5 and ((-2)\/(-14))\/((-10)\/b)?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 31.26 * 3.\nAnswer: 93.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = 301*s. Let g(x) = 1 - 2*x + 3*x + x - 1. Determine g(t(u)).\nAnswer: 602*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = 14*s - 4. Let j be (-152)\/(-24) - 2\/6. Let q be m(j). Let i = q + -68. What is the nearest to 0.1 in -2, i, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 95997.\nAnswer: 3, 11, 2909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = 6*b - 8. Let s(c) = -c + 1. Let l(t) = h(t) + 8*s(t). Let y be 0*(-2 + (-5)\/(-2)). Let m(n) = y*n - n - 2*n. What is l(m(a))?\nAnswer: 6*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = -68*n + 134*n - 68*n. Suppose -p = -6*p - 5. Let f(i) = -1. What is p*j(o) + f(o)?\nAnswer: 2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 9.63139 - 14.9?\nAnswer: -5.26861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -4 - -3.92. Let b = l - -0.18. Which is greater: 1 or b?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -2\/19, 5, 0, -0.5, -56?\nAnswer: -56","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -22, 3, -5, -3 in ascending order.\nAnswer: -22, -5, -4, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 2502 and 12?\nAnswer: 5004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -434, -447, -460, -473?\nAnswer: -486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 0  (b) -2  (c) -0.1  (d) 340.908\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -364 (base 9) in base 16?\nAnswer: -12d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -87\/21488 and -29\/1632?\nAnswer: 128928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 13811318.\nAnswer: 2, 139, 49681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Add together -48489 and -1020636.\nAnswer: -1069125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 512 + -511. Let j(d) = -22*d**3 - d. Determine j(z).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 206517808, 206517807, 206517806, 206517805, 206517804, 206517803?\n\"Answer: -y + 206517809","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1\/((-50)\/30)*(-29)\/(29\/(-20)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = -32*o. Let d be x(-1). Is 31 less than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 80, 89, 112, 155, 224, 325?\nAnswer: 464","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**2)**(4\/11)*i**(-1\/15)*i**(1\/4) assuming i is positive.\nAnswer: i**(601\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of (4\/4 - (-420721)\/21) + (-32)\/(-12)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-10)\/9*(-3258)\/724.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve p - 10 = -4*k + 10, -2*k + 4*p - 8 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*f + 7 = 3*u - 0*f, 0 = -3*u - 3*f + 3. Let h be 4\/(-16)*(0 + 1). Which is the nearest to -1?  (a) h  (b) u  (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 183738073 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = 14*y**2 - 97*y - 3. Determine q(7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -2027\/9 + 225. Which is the third biggest value?  (a) i  (b) -1  (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -69 divided by 280.\nAnswer: -69\/280","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: (-10 - 100\/20) + 28\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = 19*s**2 - 6395*s + 3697. Determine d(336).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, -79, -2, -6 in decreasing order.\nAnswer: 0, -2, -6, -79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4637505.\nAnswer: 3, 5, 309167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 458596019 + 0.2.\nAnswer: 458596019.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 13, 2\/3, 5, -0.2, 12?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = -7*v**2 + 6*v. Let k(p) = -10*p**2. What is m(k(g))?\nAnswer: -700*g**4 - 60*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 32 - 31.9999896. What is l rounded to 6 dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*q**2 - q**2 - 3*q**2 + (q + 1 - 1)*(-3 - 2*q + 3) + q + q**2 - q + 0 + 0 - q**2 + 2*q**2 + 5*q**2 - 1 - 9*q**2 to o + f*q**2 + z*q and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -6 - (-15 - (23 + -11 + -30))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = -39*a**3 - a - 7. Let c(p) = 20*p**3 + p + 4. Let l be 30\/7 - 10\/35. Let q(w) = l*j(w) + 7*c(w). Find the second derivative of q(b) wrt b.\nAnswer: -96*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -10 - -17. Let r = 12 - w. Put 1, -1, r in ascending order.\nAnswer: -1, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/5?  (a) 1\/3  (b) 34  (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (8 - 6) + 1*(-3)\/6.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = 4*q**3 - 7*q**2 + 15*q - 25. What is s(4)?\nAnswer: 179","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 + -2 + -15 - (-33 - 31 - 40).\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*o - 4*c - 20 = 5, -3*c = 2*o + 18 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -36 - -30.2. Let f = -9.8 - c. What is the third smallest value in 0, f, -0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = m**3 - 7*m**2 - 9*m + 4. Let z be f(8). Let p be (-12)\/(-8) + 2\/z. Let d be 1\/5*5\/4. Is d bigger than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = 5*y**3 + 3*y**2 - 2*y + 6. Let z be j(3). Find the common denominator of (-60)\/(-8)*17\/(-27) and (z\/105)\/((24\/15)\/(-2)).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 69051?\nAnswer: 3, 23017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 15\/1079 + -57667\/34528. Find the common denominator of o and 83\/240.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 70 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = 4*c**3 + 2*c**2 + 2*c - 1. Calculate x(-2).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = 71*d. Let i(g) = 4*g - 57. Calculate v(i(p)).\nAnswer: 284*p - 4047","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*x**5\/9 - 82*x**4\/9 - 3076*x**3\/9 + 82276*x**2\/9 + 1877122*x\/9 - 1956242\/9 = 0. Calculate x.\nAnswer: -23, 1, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -167483, -669954, -1507417, -2679878, -4187343, -6029818?\nAnswer: -8207309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 67 divide 2398?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -9, 0.12, 1\/6, 2\/11, 76?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4802*j**3\/3 - 414442*j**2 + 33840*j - 2072\/3 = 0. What is j?\nAnswer: -259, 2\/49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1\/3)\/((-28)\/(-24)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 907 (base 10) in base 15?\nAnswer: 407","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in a - 3393 + 3393.\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = -o**3 - 14*o**2 + 30*o - 2. Let y(g) = -g**3 - 15*g**2 + 31*g - 3. Let n(r) = 7*u(r) - 6*y(r). What is the tens digit of n(-11)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -341171311.9 rounded to the nearest ten thousand?\nAnswer: -341170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Put 2\/9, -2, 3.3 in increasing order.\nAnswer: -2, 2\/9, 3.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3443, 5, 4, -2, -1, 3, 0 in decreasing order.\nAnswer: 3443, 5, 4, 3, 0, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = q + 13. Let r be b(-7). Suppose 16 = 3*f - 2*y - r, -4*f + 44 = y. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = -3*p**3 + p**2 - 2*p - 2. Let o = -34 + 36. Suppose -o*l - 2 = 2. Let c be r(l). Calculate the highest common divisor of c and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:47 AM and 5:06 AM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 16263 is divided by 152?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = 9*j**2 - 46*j + 85. Let s = -109 - -139. Is a(s) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -73\/176 and 73\/45220.\nAnswer: 1989680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -2 + 2. Let w(y) = 2*y + 5*y - 8*y + 5. Calculate w(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*o + q + 225, -5*o + 228 = -o - 4*q. Let j = o + -34. Let l be (28980\/66)\/5 + 4\/22. What is the greatest common factor of j and l?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 4743501 to the nearest integer?\nAnswer: 2178","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 2100 and 3675.\nAnswer: 14700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) -5  (b) 1  (c) 12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.0639313682 - 0.05.\nAnswer: 0.0139313682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (28\/2)\/((-66)\/1353)*(-7 + 0). Calculate the greatest common divisor of 882 and b.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 54471*k - 27428*k - 27037*k.\nAnswer: 6*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -4651676 (base 9) in base 13?\nAnswer: -6a047c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -d**3 - 17*d**3 + 0*d**3.\nAnswer: -18*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 143 + -146. Which is the nearest to 2?  (a) j  (b) -2\/5  (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 6267 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-35)\/1785*34)\/(1\/15)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (204 - 91 + 907 - 109)*(0*a + 0*a + a**3 + (2 - 2 - 2)*(2*a**3 - 2*a**3 - a**3)).\nAnswer: 2733*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence sf when two letters picked without replacement from {z: 3, f: 2, s: 1, x: 3, h: 1, k: 1}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 853169?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**(-2\/15))**(-2)\/(v\/v**(-23)*v*v*(v\/(v\/v**(2\/5)))\/v) assuming v is positive.\nAnswer: v**(-377\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = 13*g**3 - 5*g**2 - 10*g + 5. Let y(p) = 13*p**3 - 6*p**2 - 11*p + 6. Let b(d) = -6*s(d) + 5*y(d). What is the second derivative of b(l) wrt l?\nAnswer: -78*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-8)\/(-5)*(-7 + 705\/100)?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 190 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 8\/10 + (-3641)\/(-55). Suppose -2*y - t + 81 = 0. Solve -4 = -3*p - y for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8 = -n - 3*l + 4, 5*l - 20 = 2*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2238 - 1122 - 1116 - 203*d**3.\nAnswer: -203*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -34415*c + 36485*c = -240120 for c.\nAnswer: -116","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = p - 1. Let b = 16 - 22. Let h(f) = 7*f - 7. Calculate b*z(x) + h(x).\nAnswer: x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from ytttuyttu?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (14*s + 3*s - 2*s)*(-28*s**2 + 3*s**2 + 0*s**2) + 2*s**3 + 2 - 2.\nAnswer: -373*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*d**3 + 11709516*d**2 + 8569483406940*d - 94265734333100 = 0.\nAnswer: -1463695, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 16 >= 136\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:18 PM and 4:17 PM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 4\/14 + 41\/(3731\/156). Let d(m) be the third derivative of 0 + 8*m**i + 1\/12*m**4 - 2\/3*m**3 + 0*m. Calculate d(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-k**2 - k**2 + k**2)*(-166843 + 4120*k + 166843) to v*k**3 + a*k + s + p*k**2 and give v.\nAnswer: -4120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**(-6)*c**(1\/6)*c**(1\/14)*c**(-1\/2))**(34\/9) assuming c is positive.\nAnswer: c**(-4471\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*w - 5*o - 27 = 0, -2*o + 15 + 19 = 4*w. Suppose w*c - 10 = 3*c. Solve c*b - 29 = -5*z, -3*b - 3*z - 2*z + 31 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d*d\/d**(-8)*d)**(10\/13)\/(d**(-4)*d)**6 assuming d is positive.\nAnswer: d**(344\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 27.05 + -26. Let k = j - 0.05. Put 4, k, -0.3 in descending order.\nAnswer: 4, k, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {d: 3, n: 7}. Give prob of sequence dnnd.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 4 + (10 - -4 - 10)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 1\/((-1)\/(-3 - 34)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -18245178 divided by -6\nAnswer: 3040863","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -67, -133, -199, -265, -331, -397?\nAnswer: -463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*a = -4*c - 3*a + 5, -a + 1 = 0. Suppose -p = -5*p - n + 10, 3*p - 5*n - 19 = 0. Suppose 4*t - 16 = 2*s, p*t - 5 = 2*s + 8. Solve t = c*j + 1 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 9.699 * -1821.1\nAnswer: -17662.8489","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-81)\/27*5\/(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is t in 3 + 33\/4*t**2 + 3\/4*t**5 - 9*t - 9\/4*t**4 - 3\/4*t**3 = 0?\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 994 or 995?\nAnswer: 995","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3 (base 13) to base 11.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -367 - 65693*i**2 + 367.\nAnswer: -65693*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -490035*c**2*d**3*p - 3*c**2*d**2*p + c**2*d**2 + 16*c**2*d + 2*c**2 - 4*c*d**2*p - 17*c*d**2 + 59*d**5*p - d wrt d?\nAnswer: -2940210*c**2*p + 3540*d**2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*((sqrt(70) + sqrt(70) + (sqrt(70) + sqrt(70)*4 + sqrt(70) - sqrt(70))*6)\/sqrt(10) + sqrt(84)\/(sqrt(12) - sqrt(432)) + -5).\nAnswer: -159*sqrt(7) + 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -1033031413 (base 5) to base 8\nAnswer: -10420103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*i**2 + i**2 - i**2 + (0*i - i + 0*i)*(i + 0*i + 2*i) + 2*i**2 - 5*i**2 + 4*i**2 + 38*i + 4*i**2 + 1 - 40*i - i**2.\nAnswer: 3*i**2 - 2*i + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -141 - -140.7. Let j = -3 - -3.1. What is the second smallest value in r, j, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = 5*z**3 - 9*z**2 + 17*z - 9. Let i be f(11). Let r = -15606 - -31862. Suppose -i = 5*d + r. Round d to the nearest one thousand.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-4)\/(4\/(-3)) - 1. Suppose a + a = s*o - 12, -4*o + 25 = -5*a. Put a, 5, 0, -4 in descending order.\nAnswer: 5, 0, a, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1333.4556 hours in days?\nAnswer: 55.56065","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {y: 4, v: 9, z: 4}. Give prob of picking 1 v and 1 y.\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -2\/23  (b) -0.0514  (c) 1\/18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 5, -0.1, 0.5, 2\/77, -2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -293716 or -293666?\nAnswer: -293716","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = h**3 - 4*h**2 - 2*h - 1. Let i be w(5). Let j = 40 - 29. Let q = j - i. Is q smaller than -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -575a + 2?\nAnswer: -5758","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = -d**3 - 5*d**2 + 6*d. Let b be a(-6). Are b and -24 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = 4*i**3 + i**2 - 7*i + 5. Let g be t(2). Suppose 0*l - g = -3*r + 3*l, 31 = 3*r - 5*l. Which is the smallest value?  (a) 3\/4  (b) -1  (c) r  (d) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = 49*h**2 - 3*h + 2. Let j be b(3). Let u = j + -680. Let f be (-4 + u)*(1 - 3). What is f rounded to the nearest 100?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-2)\/3*1*129\/(-2). Solve c = 7*k + 8 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -627997 or -627872?\nAnswer: -627872","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 62591?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a = -3*a + 5*h - 15, 0 = 2*h - 10. Let f be (-20)\/(a + 0) + -315. Round f to the nearest one hundred.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 451683 and 224653741.\nAnswer: 16729","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -4  (b) 35\/36  (c) 5\/6  (d) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 458567 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:17 AM and 8:03 AM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = 14*f**3 + 2711*f**2 + 6*f + 8. Let c(n) = -30*n**3 - 5412*n**2 - 13*n - 17. What is 6*c(l) + 13*q(l)?\nAnswer: 2*l**3 + 2771*l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 440, 1876, 4298, 7712, 12124, 17540, 23966?\nAnswer: 31408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 6027601 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10*g - 8*g + 4*g - 102 = 0, f = 4*g - 71 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -18  (b) 0.5  (c) 354  (d) 2  (e) -2  (f) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y = -60 + 3. Is 19 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -26344760 divided by -3?\nAnswer: 26344760\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = -9*s**2 - 5*s - 7. Let g(x) = 3 + 2 + 7*x + 0 + 5 + 14*x**2. Let m(f) = 7*d(f) + 5*g(f). What is m(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 5*y + 16*y**3 - 39*y**2 + 26*y**2 - 9*y + 15*y**2 + 3*y in the form v*y**2 + u*y**3 + h + g*y and give u.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = -199*z + 9. Let w(m) = 33*m - 2. Let a(v) = -l(v) - 6*w(v). Determine a(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-12)\/54 - 8874408\/27. Let a = x + 195682. What is a rounded to the nearest ten thousand?\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((u**(-2\/3)\/u)\/u)\/u)\/u*u*u**(-1\/4))\/(u**(1\/3))**(-2) assuming u is positive.\nAnswer: u**(-13\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*l - 2 = -l. Let g = -119 - -87.6. Let y = -31 - g. Which is the closest to -1\/2?  (a) -0.4  (b) l  (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = p**2 + 5*p - 21. Does 3 divide w(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -23, 4, 7, -1.\nAnswer: -23, -3, -1, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = -u**3 + 3*u**2 + 4*u. Let d(l) = l + 15. Let y be d(-12). Calculate n(y).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-14404)\/1385*10\/(-13)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 21\/5 of a kilometer?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from neaee. Give prob of sequence eena.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, -155, -1, -4, -17, -5 in descending order.\nAnswer: 2, -1, -4, -5, -17, -155","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 64\/24*9\/2. Let i = h + -6. What is the remainder when i is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 56 a factor of 1906464?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.18 - -0.22. Let n = -0.508 + i. Round n to two decimal places.\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -55928, -111857, -167786?\n\"Answer: -55929*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 2826861 to the power of 1\/2, to the nearest integer?\nAnswer: 1681","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 13021 - 13?\nAnswer: 13003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z + 3*z - 3 = 0. Differentiate i**4 + z - 2*i**4 + 0*i**4 with respect to i.\nAnswer: -4*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 1399, 5599, 12599, 22399, 34999, 50399, 68599?\n\"Answer: 1400*u**2 - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 317 a factor of 103409?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 215\/(-10) + (-6)\/4. Let j = 4 - y. Let q = 75 - j. Is q a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2019 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -840201, -1680401, -2520603, -3360807, -4201013?\n\"Answer: -h**2 - 840197*h - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1049.\nAnswer: 1049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Add together 1005601.93 and 457.\nAnswer: 1006058.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -4*a - 18*a**3 - 18*a**3 + 34*a**3 to g*a + r + y*a**2 + t*a**3 and give g.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) -29  (b) 0.4  (c) -0.2  (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 2\/125 of a millimeter in micrometers?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -1\/3952  (b) 2  (c) -1\/177\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 13.512 + -8.512. Let p = -26.8 - -27. What is the closest to p in -21, u, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -692 and 0.38.\nAnswer: -262.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 18281, 18279, 18279, 18281, 18285, 18291, 18299?\nAnswer: 18309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 6812.451 years?\nAnswer: 681.2451","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 3498 - -2749?\nAnswer: 6136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 111 - 109. Suppose 0 = g + 5*k + 3035, 12*k + 6025 = -b*g + 11*k. Round g to the nearest 1000.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -170708958.16 to the nearest 10000.\nAnswer: -170710000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 10*b + 39 - 9 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from uutmzfbm. What is prob of sequence zmbm?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -6 - -5.88. Let t = 216412 + -21424504\/99. Let o = t + -34\/11. What is the third biggest value in i, -5, o?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add 3 and 4638218.\nAnswer: 4638221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 12012624 and 359352.\nAnswer: 84088368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 5 - 1. Let x(h) = -u*h + 3*h + 4*h + 4*h**2 - h**3 + 7. Suppose 0*s + 2*s = -8, -4*f - 2*s + 12 = 0. Calculate x(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 2509 from -6537062.\nAnswer: -6539571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 0 (base 13) to base 15\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 171 to the power of 1\/5, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 9 + -6. Suppose d*s - 5*s = -158. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-10)\/15*37293\/(-401).\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -4*u + 3*u + 2*u + 0*u to the form z + d*u and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = l**2. Let u(b) = 256293*b. What is v(u(m))?\nAnswer: 65686101849*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in 1, -4, 5\/99, 6\/11?\nAnswer: 5\/99","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + (sqrt(3087) + 1)**2.\nAnswer: 42*sqrt(7) + 3091","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in 5, 5\/3, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-1)\/3 - (-5)\/16. Is 1 at least as big as m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 6717 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*d - 5 = -4*n, -4*d + d + 14 = n. Let q = -75 - -99. Solve d*m - 21 = 3*h, 0 = m + 3*m - 2*h - q for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 373 - 281. Calculate the remainder when v is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*w + 49 = 47*s + 47*s - 91*s, 0 = 9*s - 171 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((((g*g*g**(-10))\/g)\/g)\/((g**(-22)*g)\/g))\/(g**(-10)*g)**(-36))**(-2\/85) assuming g is positive.\nAnswer: g**(624\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 198500?\nAnswer: 2, 5, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 0 - 3)*(1 + 3 + 5)*(z**2 - 3*z**2 + 2 + 3*z**2).\nAnswer: -18*z**2 - 36","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 4*a*i**6 - 48649048*a*i**5 + 455*a*i**2 + 26958*a*i + 2*i**2 wrt i?\nAnswer: 480*a*i**3 - 2918942880*a*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 18\/(-30) - (-9)\/15. Let i be 4 - (-3 + 52 + c). Let y = 67 + i. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.02409635 and 0.4.\nAnswer: 0.00963854","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 22 + 31e?\nAnswer: 341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 37240?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 15 - (14 - 12 - -15) - (-6 + 6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = -s**2 - s - 1. Let n(j) = 12*j**2 + 8*j + 8. Let c(r) = 8*h(r) + n(r). Factor c(d).\nAnswer: 4*d**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 4*5 + (0 - -1). Suppose -5*t - 4 = -529. What is the greatest common divisor of t and k?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) be the first derivative of -n**8\/112 + n**6\/40 - n**2 - 1. Let g(u) be the second derivative of h(u). Factor g(y).\nAnswer: -3*y**3*(y - 1)*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = -9*r + 8*r. Solve -s - 5 = -r*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3162884 divided by -6?\nAnswer: 1581442\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 1\/4 of a millimeter?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*1*(sqrt(66) + sqrt(66) + (3*sqrt(66) - sqrt(66)) - sqrt(66)))\/(((sqrt(576)*1)\/sqrt(12))\/sqrt(8)).\nAnswer: 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 26968 divided by -39.\nAnswer: -26968\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 199029 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 3065, 12238, 27489, 48812, 76201, 109650, 149153?\nAnswer: 194704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 3 - 4\/(-4) - -56. Suppose 6*m - 4*m = -2*c + 74, 2*c - 5*m - y = 0. Let g = 38 - c. List the prime factors of g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -45*f - 45*f - 47*f + 10*f**3 + 137*f.\nAnswer: 10*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x\/((x*(x**(1\/4)*x)\/x)\/x)*x)**(-12)*((x*x*x**(2\/39))\/x)\/x**(-32) assuming x is positive.\nAnswer: x**(470\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 11450 and 101950?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = q + 1. Let w be t(-6). Let k(i) = 19251 - 19258 - 4*i**2 + 3*i**2 - 6*i. Give k(w).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -1930 - -3496. Let p = -2701 + d. Find the common denominator of p\/210 + (-2)\/3 and 1\/4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -23 + 44. Let q = 20 - f. Is -1\/3 less than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-12)\/(-40))\/((-1038)\/19895).\nAnswer: -23\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 6850049?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 1b93 (base 14) to base 9\nAnswer: 6807","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -0.3 - -0.39. Let d = x - -0.21. Let w = 3.8 - 0.8. What is the nearest to -2 in d, w, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 162761085 to the nearest integer?\nAnswer: 12758","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: (((-38)\/(-247))\/((-44)\/(-429)))\/(78\/8)\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 190817740 and 30?\nAnswer: 572453220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1 + 1 + 6 + -4 + 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round 125.08 to the nearest 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00000911613 to 6 decimal places.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Put together -64 and 54674470790.\nAnswer: 54674470726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Convert 110 (base 4) to base 9.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 0 + 78\/(-15) + 5. Let p = 0.3 + -1.3. Which is smaller: p or q?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4*d + d**5 - 4*d + 127*d**5 - 95*d**4 + 95*d**4 + (-d**4 + 4*d**4 - 4*d**4)*(-2*d + 4*d - 4*d) + (2*d - d**4 - 2*d)*(d + 2*d + 0*d).\nAnswer: 127*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -5  (b) 2\/7  (c) -1  (d) -0.14523  (e) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2 (base 10) to base 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence oco when three letters picked without replacement from {o: 2, m: 5, b: 3, s: 6, c: 2}?\nAnswer: 1\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the seventh biggest value?  (a) 5\/3  (b) -4  (c) 1\/2  (d) -161  (e) 3\/473  (f) -1\/4  (g) -3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2 - 2 - 2*j + (0 + j + 0)*(76 + 48 - 20).\nAnswer: 102*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = -1. Let y(m) be the second derivative of -m**4\/6 - m**3\/2 + 2*m**2 + 7467*m. What is 2*p(t) + y(t)?\nAnswer: -2*t**2 - 3*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = 4*q. Let h(f) = 18*f - 24. Give h(x(i)).\nAnswer: 72*i - 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u + 11 = -3*z - 1, z - 2*u = -6. Solve 5*v - 5 = z, -5*v + 0 + 3 = -2*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*i - 17 = 2*r, -7*i + 12223 = -3*r + 12199 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = -10*n**2 + 8*n - 34. Give a(-9).\nAnswer: -916","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (4\/8)\/(-2 + (-147)\/(-72)). Suppose a + 5*u = -2 + 9, 4*u - n = -4*a. Suppose -a*m = -f - 9, 0 = -8*m + 6*m - 2*f. Let x(v) = -3*v + 2. Determine x(m).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 86.2 to the nearest ten.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand n - 2*n + 3*n + (2 + 1 - 1)*(-3*n + n + 3*n) - 2*n + 0 + 0 + (-24*n + 33*n + 24*n)*(-1 - 2 - 1).\nAnswer: -130*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 1991 + -1989. Let n = 7 + -4. Sort n, 0.4, s.\nAnswer: 0.4, s, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q**2\/3 - 644414*q\/3 = 0. What is q?\nAnswer: 0, 644414","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"}
{"text":"Question: Let p = -6033 + 6075. Solve -19*h - p = -25*h for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2d (base 16) to base 13\nAnswer: -36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 1 - 5)*(232*k**2 - 181*k**2 - 129*k**2).\nAnswer: 234*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d + 2*g = 90, -67 = -4*d - 2*g + 123. Is 10 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 46*o + 444862 = 69*o - 184165. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2*i**2*m**2 - 3*i**2*m*p - 4*i**2*m + 2*i**2*p**2 + 764*i*m**2*p**2 + 2*i*m**2*p wrt p?\nAnswer: 4*i**2 + 1528*i*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i be ((-12)\/(-9))\/((40\/45)\/(-4)). Let d(p) = 8*p**2 - 11*p - 14. Let v be d(i). Suppose -v + 104 = -2*b. List the prime factors of b.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -6.6  (b) 6  (c) -93  (d) -0.1  (e) -1  (f) -2\/13  (g) 5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: ((-45)\/(2295\/(-68)))\/((-13)\/((-20787)\/52))\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of (1\/((-4)\/(-3)))\/((-104)\/(-59904))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 738263 is divided by 155.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 19604 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = -12*a. Let j(c) = 447*c. Calculate j(p(i)).\nAnswer: -5364*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from abusues. What is prob of sequence ueu?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 984, 1988, 2992, 3996?\n\"Answer: 1004*f - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (7\/4)\/((-3)\/(-12)). Suppose c*b - 2*b = 25. Solve 0 = b*d - 2*q + 15 + 3, 0 = 3*q - 12 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) be the first derivative of -4*b**6\/3 + 3*b**2\/2 + 9. What is the second derivative of n(p) wrt p?\nAnswer: -160*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = 2*f**2 - 6*f - 5. Is n(-9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -k + 5*r, 2*k = 2*r + 2*r + 6. Suppose -2*z + h - 4 = -0*h, k*h = -3*z - 6. What is the units digit of (z - 0 - -10)\/1?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-1 + -2 + 8)\/1. Suppose -y*d = 2*g - 59, 6*g - 2*g - 63 = -5*d. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -66*t + 26312 - 26048 = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -47+-267180\nAnswer: -267227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u + 5*a = -u + 37, -2*a = 2*u - 16. Suppose -3*c - 5*r = -38, -u*c - 4*r + 0*r + 34 = 0. Factor -c*l - l - 13 + 21 - 5*l + 4*l**3.\nAnswer: 4*(l - 1)**2*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/5 of a gram in milligrams?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*y**2 - 3*y**2 - 2*y**2 + (0 + y + 0)*((-3*y + 5*y - 3*y)*(3 - 4 + 3) - 4*y + 3*y - 4*y - 2*y + 3*y - 8*y - 6*y + 3*y + y).\nAnswer: -18*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Does 6 divide 3918?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*h - 21 = 112*m - 111*m, m - 2*h - 7 = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {y: 5, t: 9, f: 2, o: 3, q: 1}. Give prob of sequence toty.\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"}
{"text":"Question: Let y = -1329629 - 680371. Round y to the nearest one hundred thousand.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1283277 divided by -1?\nAnswer: -1283277","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**(-6)*r*r*r**(-5\/4))\/(r**7*r\/((r\/(r*r*r**8*r*r))\/r))*r**(-1\/2)*r*r**(-2\/7)\/r*(r**(-1\/2))**24 assuming r is positive.\nAnswer: r**(-1065\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = 18*s - 2. Let t(m) = -12*m + 1. Let b(x) = 5*o(x) + 8*t(x). Let a be b(-6). Suppose 8*y + a = 9*y. Is 26 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 3 + -2. Let z(m) = -7*m + 3*m + 4*m**2 + 5*m - s. What is z(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -4.3  (b) 5  (c) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 319 + -328. Which is the nearest to -3?  (a) 0.06  (b) 2  (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 133475.9 rounded to the nearest 100?\nAnswer: 133500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = l**2. Let c(q) = 19*q**2 - 265 + 265. Determine t(c(x)).\nAnswer: 361*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2698, 5411, 8128, 10849?\nAnswer: 13574","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2708680448?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 3344385 to the nearest integer?\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i\/(i*i*i\/(i\/i**(-1))*i*i*i)*i*i\/i**(2\/9)*i\/i**1*i**(-8))\/((i**(-1\/4)\/(i**4*i*i*i))\/((i**(-3)\/i)\/(i**(2\/25)\/i*i))) assuming i is positive.\nAnswer: i**(-5447\/900)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 468 minutes after 6:06 AM?\nAnswer: 1:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c\/((c\/(c\/c**(5\/3))*c)\/c*c))\/(c**(-5\/8)\/c) assuming c is positive.\nAnswer: c**(-1\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence vav when three letters picked without replacement from aeavi?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = q**2 - 17*q - 58. Let g be x(20). What is the closest to -0.4 in g, -1\/2, 0.4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -28 - -30. Suppose 0 = -5*v + j + 33, m*v = j + 9 + 3. Let l(s) = -s + 3. What is l(v)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l*((l**(-8)\/l)\/l)\/l*l)\/(l\/(l\/(l\/(l*l\/(l*l*l\/((l*l*l\/(l\/l**(-6))*l)\/l)*l*l)*l)))) assuming l is positive.\nAnswer: l**(-16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) 2  (b) 18  (c) -0.4  (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.541 and -0.838.\nAnswer: -0.453358","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2626008833.\nAnswer: 7, 53592017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 335868529 to the power of 1\/2, to the nearest integer?\nAnswer: 18327","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = g**2 - 2*g. Let t = -10 + 10. Let r be k(t). Suppose -3*p + r*p + 36 = 0. Calculate the remainder when 35 is divided by p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in -0.2, 1\/21, -10, -1.601?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 169166372.\nAnswer: 2, 541, 78173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 82550 and 46150.\nAnswer: 650","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*u = -4*u - 4*n - 6206, 0 = -4*u + 2*n + 24838. What is u rounded to the nearest 10000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = -4*l**2 + 10*l - 7. Let y(m) = 5*m**2 - 11*m + 8. Let i(c) = 6*g(c) + 5*y(c). Give i(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1297942062?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = a**3 + 7*a**2 + a - 12. Let i = -13 + 7. Let s be f(i). What is the highest common divisor of 27 and s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b + 59 = 40. Suppose 24*n + b = 25*n. Solve -s - 2*i + 5 = 2*i, 5*s - 2*i + n = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2\/((-2)\/(-20)*(-79)\/395)?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = -3*x**2 + 4*x + 4. Let m be (-3 + 15\/10)*20\/6. Let s(t) = -t - 1. Calculate m*s(h) - k(h).\nAnswer: 3*h**2 + h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 10513.\nAnswer: 10513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3 + sqrt(14)\/sqrt(2) + -3 - (1 + sqrt(7) + -4)*-3)**2.\nAnswer: -120*sqrt(7) + 337","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + (sqrt(70)\/sqrt(5))\/sqrt(2) + sqrt(7) + -3.\nAnswer: 1 + 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -3.838 rounded to one decimal place?\nAnswer: -3.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b = -4*y + 6 + 7, 1 = -2*y - b. Solve 3*z + 34 = y*q + 11, -2*z - 22 = -3*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = -u - 11. Let t be h(-8). Let v(d) = -16*d**2 + 3*d - 2. Let n(y) = 3*y**2 - y + 1. Let a(q) = 5*n(q) + v(q). Give a(t).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 218 + -44. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence zv when two letters picked without replacement from {t: 1, b: 1, w: 5, z: 1, v: 1}?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert 7615.495ml to litres.\nAnswer: 7.615495","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 964 is divided by 375.\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Do 13269\/16 and 828 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Round 4445.353898 to one dp.\nAnswer: 4445.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**(-1\/6)\/((n\/(n*n*((((n**(-4\/11)*n)\/n)\/n*n*n)\/n)\/n))\/n))\/(n\/n**(-5))**(3\/2) assuming n is positive.\nAnswer: n**(-563\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Express 1 + b**2 - 4*b**3 - 67*b - 33*b + 82*b in the form t + v*b**3 + p*b**2 + x*b and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 52385?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = 2*k**2 + 2*k + 124. Let x be g(0). Let c be (2\/8)\/(8 + x\/(-16)). Solve -2*a = 3 + c for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1757 = -5*v + a, 4*v + 4*a - 92 = 1328. List the prime factors of v.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -2\/5  (b) 340028  (c) 0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 3370 and 1308571.\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 3210?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is -44.736 greater than 10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 1280 and 15?\nAnswer: 3840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -686.4 rounded to the nearest one hundred?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 165*(84 + 30587\/(-365))?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Determine c so that -5*c**2 + 111640925*c = 0.\nAnswer: 0, 22328185","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*l**4\/15 + 436*l**3\/15 - 16394*l**2\/15 + 32992*l\/5 - 53664\/5 = 0. What is l?\nAnswer: 3, 4, 39, 172","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = 12*k**2 + k + 1. Let s be g(-1). Let d = s - -21. Calculate the remainder when d is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = -l**3 + 23. Let g be z(0). Find the second derivative of 4*p**5 + 0*p**5 + 2474*p**4 - 115*p - g*p**3 - 2474*p**4 wrt p.\nAnswer: 80*p**3 - 138*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 c and 1 q when three letters picked without replacement from {c: 2, a: 5, q: 7}?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00001779 to six dps.\nAnswer: 0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 8964\/13 less than 116?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*u**3 - 41*u**3 + 4*u**3.\nAnswer: -40*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Does 76 divide 11074720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -3.02682 - 0.98408. Let j = 8 + -4. Let u = j + m. Round u to three decimal places.\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -7 + 5.9. Let f = -1.9 + j. Which is the closest to f?  (a) 2\/9  (b) -1\/4  (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = l**2 - 1. Let z(u) = 9. What is 5*c(p) + z(p)?\nAnswer: 5*p**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = -45*c**3 - 7*c**2 - 7*c + 39. Let z(l) = 8 - 22*l**3 + 109*l - 3*l**2 + 12 - 112*l. Let n(v) = 3*d(v) - 7*z(v). Differentiate n(r) with respect to r.\nAnswer: 57*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -604*b**4 + 441*b**3 + 1801062*b**2?\nAnswer: -14496*b + 2646","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*o**2 - 324255*o - 2269540.\nAnswer: -5*(o + 7)*(o + 64844)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 2148470 and 70409?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is f in f**5\/6 + 45011*f**4\/6 + 506024683*f**3\/6 - 10641917087*f**2\/6 + 25097752108*f\/3 + 30671700488\/3 = 0?\nAnswer: -22516, -1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -56228 and 3?\nAnswer: -168684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 850 and 2720?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 11 + (-5 - 3) + -4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 3\/5 of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 740376 to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1657337 - 233272. Let i = l - 519971. Suppose i = 5*s - 745906. What is s rounded to the nearest one hundred thousand?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -430\/9 < -4.48?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 18*d**2 + 731220*d*t - 2*d - 37*t + 4095946 wrt d?\nAnswer: 36*d + 731220*t - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 15800, 29391, 42982, 56573?\nAnswer: 70164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 647111?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -26?  (a) -2  (b) -2.2  (c) 13  (d) 3  (e) -11  (f) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = 131314*s + 656616. Determine f(-5).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = -96*u**2 + 340*u - 2. Let a(x) = -2*x. Determine h(a(q)).\nAnswer: -384*q**2 - 680*q - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 48625411*r**3*x**2 - 36*r**2*x**2 + 2*r**2 + 22517*r*x - 8 wrt r?\nAnswer: 291752466*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -3*m**3*x + 3*m**3 - 825*x with respect to m.\nAnswer: -9*m**2*x + 9*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 32.07665 days in hours?\nAnswer: 769.8396","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1333030 (base 4) to base 5.\nAnswer: 230030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -205 or 556?\nAnswer: -205","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -230 - 5?\nAnswer: -235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -36 + 20. Let q = i + 21. Let d = 8 + 17. Solve q*n = -d - 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert b7aab (base 12) to base 11.\nAnswer: 155705","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -94*h - 44*h + 1104 for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 19 + 15 - 34 - 42*t to the form x*t + a and give x.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*q - 5*h + 15140 - 15115 = 0, 4*h - 20 = -3*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2180?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g + 6*z = 73443952, 32*z - 34*z + 220331984 = -3*g. Round g to the nearest 1000000.\nAnswer: -73000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.3 + 0.7. Let k be (-2)\/(-3) + 32\/(-40). Which is the second biggest value?  (a) k  (b) t  (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*g**2 + 32466*g - 4920480.\nAnswer: -2*(g - 16080)*(g - 153)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -64, -60, -50, -34, -12?\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -2125587.08 rounded to the nearest 100?\nAnswer: -2125600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l - 6 + 33 = 3*q, 4*q = -5*l + 71. Let h = l - 19. Sort -2, -5, h in ascending order.\nAnswer: -5, h, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (22 - 37) + 138\/6. Solve -g*l + 175 = 151 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 4*d + 3*k + 18, -18 = -k - 20 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand -22 + 4*r + 22 + (-3*r + 4*r - 3*r)*(1 + 1 - 1) + (2*r + 2*r - 2*r)*(4 - 3 + 0).\nAnswer: 4*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*w**2\/3 + 60*w + 777664\/3.\nAnswer: -4*(w - 464)*(w + 419)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 38224 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: Let j be (1 + -3)*18\/4. Let v be (-3)\/j - (-8)\/3. Solve -5*o + v = -2 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:15 AM and 3:27 AM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -1778, -423, 930, 2281, 3630, 4977?\n\"Answer: -k**2 + 1358*k - 3135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 71 - -35?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*o + 2*z = -9, -4*o + o = z - 18696 + 18694 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 0, 13, 34, 63, 100, 145, 198?\n\"Answer: 4*z**2 + z - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-40)\/87 + 52\/78. Are m and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 h and 1 n when two letters picked without replacement from {n: 11, h: 3}?\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = -252*i + 741. Let g(d) = -25*d + 74. Let w(t) = -21*g(t) + 2*v(t). Does 20 divide w(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 43\/7 + -2*2\/28. Suppose -4*t + 16 - 4 = 0. Solve -4*d = -2*f, f + v = t*f + 2*d for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -7 + 9 + 2 + -5 + -3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 645656?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -269*q*y**2 + 7*q*y + 60407*q - 2*y**2 + 7*y + 7 wrt y.\nAnswer: -538*q*y + 7*q - 4*y + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 112221212212 (base 3) in base 6?\nAnswer: 10151035","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = -7*l + 30. Let a be u(7). Let w(r) = -r**3 - 18*r**2 - 2*r + 43. What is the units digit of w(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 182290084*d**3 - 644*d**2 - 18139?\nAnswer: 1093740504","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 81956 and 2408?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*a = -3*o - 15, 4 + 8 = -5*o - 4*a. Solve 5*h = 2*g + 12, o*g = -4*g - h + 20 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((d\/d**1)**(-11))**(4\/5))**(-2\/5) assuming d is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*f - 7*o = 47, 0 = 5*f + 4*o - 0*o - 56064 + 55968 for f.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 65*m - 58*m = 504. Calculate the remainder when 647 is divided by m.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -25, -2, -13460 in ascending order.\nAnswer: -13460, -25, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -1133\/5222 + 1\/373. Suppose -3*h - 2*h = -5. Which is bigger: x or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (2 + 21 + 0)*1. Suppose s + 229 = 2*y. Is 126 greater than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many tonnes are there in 4.726724 nanograms?\nAnswer: 0.000000000000004726724","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = -b**3 - 209*b**2 - 3261*b + 457. What is k(-192)?\nAnswer: -119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 140519 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert -4 (base 12) to base 9.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 2700488 + 9591482?\nAnswer: 12291970","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = i**3 - i**2 - i + 1. Let d be n(0). Let p be 3 + (-314)\/106 - 0. Let r = p - 120\/371. Are d and r equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 11\/2 of a milligram in micrograms?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.1 + 0. Let g = 14 - 13. What is the closest to g in i, 2\/3, 0?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -26.8 times -102?\nAnswer: 2733.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -84 = -16*j - 68 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*(sqrt(2448) + (2*sqrt(2448)*5 - sqrt(2448)) - sqrt(2448) - (-5 + (sqrt(2448) + 1 - sqrt(2448)))) - 5*(1*sqrt(2448)*2 + 5))**2.\nAnswer: 75264*sqrt(17) + 10029409","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -12*a**4*d*g - 64*a**2*g + 64*a*d - a*g + 4*d*g wrt a.\nAnswer: -144*a**2*d*g - 128*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 4349 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 51525?\nAnswer: 3, 5, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r + 2*r = 132. Suppose 4*l - r = 2*l + 4*y, -2*l - y = -19. Is 27 a factor of 2001\/l + 0 + 6\/(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -d**3 - 12587*d**2 - 1828826*d - 1816240.\nAnswer: -(d + 1)*(d + 146)*(d + 12440)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 3210 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Determine j, given that 2*j**4\/11 + 47218*j**3 + 7790488*j**2\/11 - 8309888*j\/11 = 0.\nAnswer: -259684, -16, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 3989417 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 46 a factor of 217166?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 6 - 5. Let r = 20218 - 181960\/9. Sort r, p, 2\/7, 49\/3.\nAnswer: r, 2\/7, p, 49\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2050 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 62535, 250127, 562779, 1000491?\n\"Answer: 62530*t**2 + 2*t + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0 + 2 - 11*f**2 + f**2 to the form i + j*f**2 + u*f and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-2)\/(-12) - 449074\/(-38352). Let u = a - 3\/3196. What is the common denominator of 89\/152 and u?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -107 = -11*x - 19. Calculate the least common multiple of x and 14.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 255082 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 7 and 183?\nAnswer: 1281","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7073 is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = -l**3 + l + 6. Suppose 0 = -m - 4*y + 8, 2*m + 3*y = -0*y + 6. Let h be f(m). What is the tens digit of 33 + 2 + h\/(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 202508 is divided by 188.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 1 - 1)*(3*p**4 - 3*p**4 - 3*p**4) + 90*p**4 - 126*p**4 + 122*p**4 + (-4*p - p**2 + 4*p)*(-2*p + 2*p - p)*(-3*p - 2*p + p).\nAnswer: 88*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = 2*z - 9. Suppose 5*l - 25 = -j, 0 = -2*j - j - 2*l + 23. Let b be 78\/10 - (-1)\/j. What is m(b)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = -o**3 + o**2 + 2*o - 1. Let f be c(2). What is the second biggest value in 1\/12, f, 4?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 364725?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is -39395\/6 < -6565?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert 42597.96 milligrams to micrograms.\nAnswer: 42597960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = -4*o**3 - 2*o**2 + 4*o - 2. Let c = -904 + 905. What is t(c)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 65*z = 57*z + 6824. Is 23 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 1 + (-2 - 741\/(-3)). Suppose 5*y - o = 19. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3211599341 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 8 and 2251942.\nAnswer: 9007768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -1161c (base 15) in base 9?\nAnswer: -83860","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = -2*b - 4. Let j = 50 - 34. What is the lowest common multiple of f(-6) and j?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d + 185 = 3*d. What are the prime factors of d?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-63 - 4*o**2 + 63)*((-4*o + 2*o + 6*o)*(5 - 9 - 3) + 0*o + 2*o + 0*o) to k*o**3 + v*o + s*o**2 + t and give k.\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -4 + 1. Let s be 14\/d - 4\/(-6). Round s to zero dps.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = n. Let b(v) = 124*v + 57*v - 128*v. Determine k(b(p)).\nAnswer: 53*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d = 3*v + 20739 - 4358, -d + 16365 = v. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -6 (base 9) to base 14\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 22 or 26?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -12 - -6 - -11 - (-1 + 6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 13 + 8 + -11 + (12 - -27).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 34 - 32. Let k be 225\/(-36) + g\/8. Let n(d) = -d**3 - 6*d**2 - d + 5. Calculate n(k).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*i = -6*i + 4*s + 3394, 5*i - 16850 = -4*s. Let t(m) = -i*m + 3374*m + m**2 + 0*m**2. Let o(n) = 67*n. Calculate o(t(d)).\nAnswer: 67*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 156\/91*(-14)\/(-8)*2. Solve -b*d + 2*d + 4 = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of 4 and 908648093843.\nAnswer: 908648093847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -74579 divided by 1.\nAnswer: -74579","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*w - 3*s = 3, -w = -5*s + 6 - 28 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 c and 1 r when two letters picked without replacement from rccrrrrrcrcrrrrrcr.\nAnswer: 65\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 24\/(-60)*5 - (-13)\/(-1). Let v be (y\/(-100))\/(3\/8). Let d = 7 - 4. Sort v, -5, d, -0.4 in descending order.\nAnswer: d, v, -0.4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 6 + -8. Let w(o) = 206*o**2 + 95*o**2 - 2*o - 294*o**2 - 1. Does 23 divide w(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.086075 + -0.910710441?\nAnswer: -0.996785441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -214 - 638 = 852*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -42 = 21*b - 25*b - 6*s, -2*b + 4*s - 3*s - 5*s + 78 = 52 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9 = 588*g - 589*g for g.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -1\/33175 + 99547\/729850. Let m be (74 + 2)\/((-14)\/12). Let j = -907\/14 - m. Find the common denominator of j and i.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**(3\/4)*g**(1\/5))**(-16) assuming g is positive.\nAnswer: g**(-76\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 46103 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1800 + 299. Let u = p - -33101\/22. What is the common denominator of -91\/16 and u?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 21 - 13. Let p = w - 5. Suppose -4*r = p*s - 33, -r - 2*s - 8 = 2*s. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11192724581 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k = -k - 4*m - 608, -4*m - 1196 = 4*k. Let q = k - -468. Suppose -r = 4*o - q, 4*r - 658 = -0*r + 3*o. What is the tens digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 104151.024 to the nearest 1000.\nAnswer: 104000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 127863381.88 rounded to the nearest 1000?\nAnswer: 127863000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is -18 bigger than -1101\/58?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 583732?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = f**2 + 50*f + 601. What is l(-33)?\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 630572300.\nAnswer: 2, 5, 71, 88813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -19\/2745 and 46\/3025?\nAnswer: 1660725","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 3245 + -3243. Solve 4*o - h = 2*d, -d + 16 = -3*d - 3*o for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is seventeen halves of a year in months?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c - s = -3*s - 2, -2*c - s = -9. Suppose 0 = -x + c*x + 12, -4*y = -3*x - 196. Let w = y - 26. What is the units digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -306 divided by -44\nAnswer: 153\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -515*f + 100*f - 1993 + 9878 for f.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Round 19951179 to the nearest 100000.\nAnswer: 20000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort 28, -572, -1645.\nAnswer: -1645, -572, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is (15 - 7 - 3) + 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -1476004, -2952017, -4428042, -5904079, -7380128?\n\"Answer: -6*r**2 - 1475995*r - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 582.7 - 554. Let s = -29 + g. Sort -0.1, s, -1.2, -0.2 in ascending order.\nAnswer: -1.2, s, -0.2, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = m**3 - 6*m**2 + 6*m - 3. Let n be r(5). Suppose n*p = 4*p - 8. Suppose d - p = -d. Calculate the highest common divisor of 5 and d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 203 is divided by 92?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = 27*j + 3. Let v be d(3). Suppose -w + 295 = -v. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1321, 2575, 3895, 5281, 6733?\nAnswer: 8251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/4?  (a) -2\/7  (b) 0.2  (c) 3  (d) 11\/383\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 165 is divided by 83.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 39303, 39349, 39395, 39441, 39487?\n\"Answer: 46*b + 39257","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*h**2 - 102*h + 39*h - 2*h**2 - 44*h.\nAnswer: -2*h**2 - 107*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 587604758?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 705 minutes before 10:52 PM?\nAnswer: 11:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2144740 = -5*s + 31*s. Round s to the nearest 1000.\nAnswer: 82000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 4855, 4860, 4865, 4870, 4875?\n\"Answer: 5*q + 4850","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) be the first derivative of c**6\/6 - 3877*c**4\/4 + 3*c**3 - 231*c**2\/2 - 3105. What is the third derivative of u(l) wrt l?\nAnswer: 60*l**2 - 23262","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -5 + 27 + 24 + -102 + -24 + -6?\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -75*a**2 - 39*a**2 - 15*a**2.\nAnswer: -129*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = -9*t - 189. Suppose -93*k - 108 = -89*k. Let z be p(k). Let w = 279 - 63. Calculate the highest common factor of z and w.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = 2*f**3 + f**2 - 2*f + 5. Let t(j) = 3*j**3 + j**2 - 3*j + 9. Let l(h) = -3*t(h) + 5*x(h). Is l(3) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = 96655*b - 9665510. Calculate q(100).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -16*r**2 + 21*r**2 + 10*r + 1 + 125*r**2.\nAnswer: 130*r**2 + 10*r + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 366?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 262661?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-12)\/(-42))\/((-8)\/(224\/(-20))).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (34\/(-12))\/(41\/(-492)*4)*(-12)\/(-2)?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*z = -13 + 22, -4*o - 4*z - 24 = 0 for o.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 507 and 64389?\nAnswer: 507","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 1  (b) -1\/13  (c) -3\/16  (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 i and 1 s when two letters picked without replacement from {s: 2, u: 1, r: 2, i: 2, w: 1}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -14311 - -14480. What is the remainder when 5069 is divided by k?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) be the first derivative of -2*d**3\/3 - d**2\/2 + 184. What is n(1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum 45403607746 and -21.\nAnswer: 45403607725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4560522 is divided by 63340.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1165.\nAnswer: 5, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 0.2  (b) -0.5  (c) 10527  (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 74228 and 308?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.16 + 0.14. Let a = 0.1 + 0.9. Let v be 3\/2*2\/(-1). What is the closest to -2 in t, a, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (u - 2*u - u)*(2*u + 0*u + u + (-2*u + 2*u - u)*(-2 - 2 + 3)).\nAnswer: -8*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 24757.0505 + -24742. What is a rounded to 0 dps?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = 3 + 0 - 23*x - 3. Let c(v) = 1. Let m(h) = h**2 + 6. Let b(o) = -3*c(o) + m(o). Let y(d) be the first derivative of b(d). What is y(a(l))?\nAnswer: -46*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i be ((-106)\/6)\/(16\/(-48)). Suppose -r + 33 = -4*v, 5*r - i = 6*v - 2*v. Is 134 + (v - 2)\/3 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = t**3 + 22*t**2 - 21*t + 50. Let f be 9\/6*(-414)\/27. Let v be g(f). Factor -36*q + 31*q**v - 15*q**2 + 36*q**3 - 4*q**4 - 32 + 20.\nAnswer: 3*(q - 1)*(q + 1)*(3*q + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -21 - (11 + -27) - (-1 + 3 - -9).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.06 + -60307818.4.\nAnswer: -60307818.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**(-2)\/f*f**(2\/85)*f**(-10)*f\/(f\/(f\/(f**(1\/7)*f))))**7 assuming f is positive.\nAnswer: f**(-7806\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is i in -4*i**4\/7 - 236*i**3\/7 + 76*i**2\/7 + 4364*i\/7 - 7080\/7 = 0?\nAnswer: -59, -5, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 36 - 22. Let m = o + -16. Which is smaller: m or 0.1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = 4*x**2. Let f(n) = 94987*n. What is f(d(t))?\nAnswer: 379948*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 837 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 15083976.\nAnswer: 2, 3, 628499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -140 - 13?\nAnswer: -153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-3)\/(-6)*(-2)\/(-1 + -1).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Add -0.13048233053697 and 5.9.\nAnswer: 5.76951766946303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 201886234?\nAnswer: 2, 11, 9176647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 305 + -86. Let m = -217 + v. Let o be (-48)\/(-45) + (-4)\/6. What is the nearest to -3 in -3, m, o?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2)\/(-8) + 11\/4 + 884\/(-204)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) be the second derivative of p**6\/75 - 2*p**5\/25 + p**4\/10 + 4*p**3\/15 - 4*p**2\/5 + 3*p. Solve y(g) = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.26, 0, -87\/4, 3, -0.4.\nAnswer: -87\/4, -0.4, 0, 0.26, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y - 2*x - 16 = -5*y, -3*y + 2*x + 14 = 0. Suppose -6 = -y*z + 204. Let v(q) = -q**2 + 18. Calculate the remainder when z is divided by v(0).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) be the third derivative of 0 + 1\/12*q**4 + 1\/30*q**5 + 1\/2*q**3 + 0*q + 24*q**2. Determine h(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:43 PM and 2:33 AM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = -w**3 + 5*w**2 + 2*w - 6. Let i be d(5). Suppose g = -0*f + i*f, 4*g = 3*f. Let b be (-2)\/(-30) + (-1)\/(-3). Sort -2, g, b in increasing order.\nAnswer: -2, g, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2115 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 29*l - 28*l = -3*v - 23, -5*v = -3*l + 15 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 27363?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 38 - (2 + 2 + (10 - 33)).\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 4 + 0\/(0 + -3). Suppose 2*v = -z*p + 66, -p = -2*v - 2*v - 3. Calculate the remainder when p is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -248*r**3 + 93*r**3 + 92*r**3 + 56*r**3.\nAnswer: -7*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: (-8 - -23) + (6 - 2 - 9)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = -t**3 + t**2 + 25*t + 50. Let w be k(-2). Is 8161400\/88 + w\/(-66) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 612 divide 843336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Divide -396837 by -3.\nAnswer: 132279","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is -56396 at most as big as -56398?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:44 AM and 10:02 PM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {y: 7, t: 6, q: 1, j: 1}. Give prob of sequence tyy.\nAnswer: 6\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1511206 and 398.\nAnswer: 398","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -10 divided by 5.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.43 in 5\/4, 15, 6?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 3595065517 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -235932*d**3 + 125*d**2 - 350?\nAnswer: -1415592","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (30 + -30)\/(1 - 5). Suppose -5*r + 5*u + 120 = t, -u - 32 = -2*r - 3*u. Solve -4*a = a + r for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 14, -2, 2\/9.\nAnswer: -2, 2\/9, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g**(-1)*g)\/g)**(-43)\/(((g\/g**0)\/g)\/(g*g**(1\/21)\/g)) assuming g is positive.\nAnswer: g**(904\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -2395.18 - -2434. Let q = h - 38.821613. Round q to five dps.\nAnswer: -0.00161","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*v - 322 = -4*v. Let j(u) = v*u - 106 + 104 - 22*u. Calculate j(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 32.8 - 17.9. Let d = 18 - t. Let i = 2.46 - d. Round i to one dp.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = l**3 + l**2 - 6*l - 2. Give n(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = -16044*t**2 + 4873*t + 18. Let f(m) = 8020*m**2 - 2435*m - 10. Let q(w) = -11*f(w) - 6*l(w). What is the second derivative of q(h) wrt h?\nAnswer: 16088","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is fifty-seven halves of a meter in centimeters?\nAnswer: 2850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-2 + 2)\/(58 + -54). Let p(o) be the first derivative of 2*o**3 - 5\/2*o**4 - 7 + 0*o**2 + v*o. Factor p(y).\nAnswer: -2*y**2*(5*y - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 155\/((-6494)\/406 - -16). What is the highest common divisor of 29 and l?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do -1754 and 32.97 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*a = s + 5750, -213 = 5*a + 2*s - 9811. Let t(i) = a - 1918 - i. Let z(p) = -52*p + 2. Give z(t(j)).\nAnswer: 52*j + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -123560 - 9067 = -3*c. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1308011?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-1485)\/1980)\/(6\/(-184)).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(57)\/(sqrt(30)\/(-1*sqrt(10))) + 4.\nAnswer: -sqrt(19) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 65*n - 652885 = -20*n. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -247182 - -17?\nAnswer: -247165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -58 + 54. Let f be (-56)\/((2\/q)\/1). What is the tens digit of (f\/24)\/(1\/(-9)*-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*i**2 + i + 3*i - 1 - 2*i**3 + 4*i + i**4 - 3 as m*i**3 + b*i + a + k*i**2 + g*i**4 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 1449705041 to the power of 1\/2, to the nearest integer?\nAnswer: 38075","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.051858126 + 635.\nAnswer: 635.051858126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = x**3 - x**2 - 6*x + 4. Let s be z(2). Let d(b) = -12*b**2 + 5*b + 5. Let k(a) = 11*a**2 - 4*a - 4. Determine s*d(o) - 5*k(o).\nAnswer: -7*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is l in l**3\/2 + 9*l**2 - 471*l\/2 - 1054 = 0?\nAnswer: -31, -4, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) be the first derivative of -11*a**5\/5 - 5*a - 10. Differentiate u(f) with respect to f.\nAnswer: -44*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = z**2 + 5*z + 6. Let t(s) = 1. Let p(u) = -d(u) + 3*t(u). What are the prime factors of p(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*q - 32236 = -2*i, 42*q - 4*i - 32248 = 37*q. What is the hundreds digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2886 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*s + 184 = -86. Suppose -2*c = -2*l - 3*l - 36, 5*c = -l + 36. Calculate the remainder when s is divided by c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 0*t**3 + 1\/6*t**4 - t**2 - 4\/3*t - 1\/2.\nAnswer: (t - 3)*(t + 1)**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -18.1654 to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 847*c + 954 + 198 = 943*c for c.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Express g**2 - 2 + 5 + 711*g - 1817*g in the form n*g + l + t*g**2 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 224558*y**3 + 2310526*y**2 wrt y.\nAnswer: 1347348","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (15\/(-45))\/((-2)\/24). Solve -4*d = -3*u - 3*d - 7, -o*u - 31 = 3*d for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*v**3 - v**3 + 0*v**3)*(13*v**2 - 2*v**2 + 2*v**2 + (0*v + 0*v + 2*v)*(-2*v + 0 + 0)).\nAnswer: 18*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 150 and 10?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2104, 4252, 6402, 8554, 10708, 12864?\nAnswer: 15022","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 303.6906 milliseconds to nanoseconds.\nAnswer: 303690600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 10813 is divided by 3594.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.077 * -13.89982.\nAnswer: -1.07028614","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 3 + 2. Suppose -3*v + y - 2*y = -18, q*v - 4*y = 30. Is 2 + 42\/9*v a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 63.63553 meters to kilometers.\nAnswer: 0.06363553","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 4 + (0 - -1)\/(1*7\/(-28)). Sort 4, -3, o, -2, -112 in descending order.\nAnswer: 4, o, -2, -3, -112","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 divided by -8437?\nAnswer: 2\/8437","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express (1144*a - 3 - 2273*a + 1085*a - 3*a**2)*(-a + 3*a - a + (a + a + 0*a)*(3 + 0 + 0)) in the form g*a + y*a**2 + i*a**3 + q and give g.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is -262 at most as big as -2360\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -27\/1835734 and -115\/39636?\nAnswer: 99129636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -20 - -13. Let z be 1 + -2 - 9\/s. Which is bigger: z or -0.4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 344 is divided by 112.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 4 + -7. Let j(v) = -9*v**2 - 2 + 14*v**2 - 2*v - 3 + 0. Let a(n) = 4*n**2 - n - 4. Give f*a(i) + 2*j(i).\nAnswer: -2*i**2 - i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -13804 - 8?\nAnswer: -13813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = x + 21. Let m(b) = -b**3 - 5*b**2 + 3*b + 15. Let i be m(-5). Calculate k(i).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) be the first derivative of 3*h**2\/2 - 4137. Let k(a) = 11*a - 3. Let p(g) = -22*g + 5. Let d(m) = -5*k(m) - 3*p(m). What is d(i(u))?\nAnswer: 33*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*a + 3*c - 25 = 0, -2*c = 5*a - 44 + 4. Suppose a*n - 11302 = -3802. Is 50 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:36 PM and 6:16 PM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -0.0448527976 and 331008?\nAnswer: 331008.0448527976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -183 - 37 = 5*y. Calculate the remainder when (y\/16)\/(3\/(-12)) is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*h + 15 = -10*h. Let f(x) = x**3 + 15*x**2 - 4*x + 6. List the prime factors of f(h).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 10 + 1400?\nAnswer: 1410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -7\/59  (b) -1  (c) -9  (d) -27\/8  (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 362892?\nAnswer: 2, 3, 30241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 2 - (4 + -6 - -8)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 744911 is divided by 186224?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2142*k + 48 = 2147*k - i, 3*k - 30*i - 705 = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (j**4 + j**4 - j**4)*(17 - 25 + 89) - 18 + 18 + 8*j**4 + j**4 + 2*j**4 + 0*j**4.\nAnswer: 92*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = s**2 + s. Let d be p(2). Let l = 731 + -727. Suppose -3*v + 2 = -2*v. Solve v*m - l = d for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 707 minutes before 12:52 AM?\nAnswer: 1:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.03792 rounded to 3 dps?\nAnswer: -0.038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -113\/18140 and -61\/9340.\nAnswer: 8471380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1852800 divided by 154400.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 904?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = 81*s**4 + 3*s**3 - 2*s + 6657. Let y(p) = -p**4 + p**3 - 7*p - 4. Let q(b) = -o(b) + 3*y(b). Find the first derivative of q(d) wrt d.\nAnswer: -336*d**3 - 19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -7.589 + -0.111. Let g = -6 - 2. Let q = g - r. Which is the second biggest value?  (a) 0.4  (b) -4  (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 9\/(8 - -1) + (1 - 0)*0. Is -17\/156 greater than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 2034 + -2032. Sort -0.4, -117, j, 0.1 in increasing order.\nAnswer: -117, -0.4, 0.1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-3)\/4*2\/3. Let q = -143 - -2433\/17. Sort q, h, -2 in descending order.\nAnswer: q, h, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = 54*m - 1 + 0 + 74*m. Suppose 7*k - 1 = 6. Is j(k) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (25\/(-5) - -7)\/12. Which is the nearest to -4?  (a) q  (b) -4  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 182326?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = -k**3 - 11*k**2 + 3*k + 4. Let m be a(-11). Let n = m + 49. Calculate the remainder when 57 is divided by n.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express ((2 + 2 - 6)*(-2 + 3 + 2) - 22 + 178 + 16)*(0*d**2 + 2*d**2 + 2*d**2) + 2*d**2 + 2*d**2 - 6*d**2 in the form o + t*d + p*d**2 and give p.\nAnswer: 662","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = -q - 1. Suppose -t = -3 - 3. Let o be (-3 - t\/(-1)) + (-20)\/(-5). Determine b(o).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = -a**3 - 6*a**2 - 13*a - 21. Let u be h(-4). Put u, -5, -6, 1 in decreasing order.\nAnswer: 1, u, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6814.\nAnswer: 2, 3407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = r**2 + 15*r - 11. Let x be f(-16). Suppose i + i - a - 9 = 0, 0 = -3*i + 2*a + 13. Solve 5*q + x*u = -0*q + 20, i*q - 4*u = 11 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence fff when three letters picked without replacement from {f: 3, v: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 3 and 18408230?\nAnswer: 18408227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*m - 5, 0*x + m + 1 = x. Let f(t) = 17*t - 4 + 18*t - 3*t - 5*t. List the prime factors of f(x).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 27*q**5 + 4*q**2 + 19*q?\nAnswer: 1620*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 18 + -112c0?\nAnswer: -112a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round -34.485 to 1 decimal place.\nAnswer: -34.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert 83 (base 16) to base 13.\nAnswer: a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {l: 9, m: 7}. Give prob of picking 2 m and 1 l.\nAnswer: 27\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -33*i = -24801 + 2823. Does 9 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -37, -81, -125, -169?\nAnswer: -213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:20 PM and 8:45 PM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -27*v + 20*v = 7. Let u be (-3)\/((-15)\/100)*v\/2. Let w be (u\/4 - -2)\/(2\/(-8)). Calculate the highest common factor of w and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 286984 a multiple of 116?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) be the second derivative of y**4\/6 - 14*y**3\/3 + 24*y**2 - 21*y - 4. What is w in c(w) = 0?\nAnswer: 2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -10529.37, 1\/3, 13 in increasing order.\nAnswer: -10529.37, 1\/3, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k**2\/7 + 29672*k\/7 + 29674\/7 = 0. Calculate k.\nAnswer: -1, 14837","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t + 5*u = 6*t - 495, t - 4*u = 243. Calculate the highest common divisor of t and 51.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 v and 1 d when four letters picked without replacement from vvvvdvdv.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m be ((-104)\/7)\/13*7\/(-2). Which is the closest to 2?  (a) -0.5  (b) m  (c) -5  (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = -q**3 + 4*q**2 - 8*q + 3. What is m(4)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 15.2976 + -0.0676. Let s = l + -14.4. Round s to one dp.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t = 5*t - 6. Suppose -n = -1 - t. Suppose -18 = -2*r - 3*d, n*r - 2*d - 53 = -0*d. Calculate the greatest common divisor of 135 and r.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 l when three letters picked without replacement from {q: 2, l: 3, x: 1, t: 3, h: 1, i: 1}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -207 divided by -1648335.\nAnswer: 69\/549445","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Factor 6*r**3\/7 - 20*r**2\/7 - 46*r\/7 - 20\/7.\nAnswer: 2*(r - 5)*(r + 1)*(3*r + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -44310 - 9*n + 44310.\nAnswer: -9*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from vhvvvaeyaeyvg. Give prob of picking 1 e and 1 y.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 25*r**4 - 1212735*r**3 - 16497975*r**2 + 7520855*r + 10189830 = 0. Calculate r.\nAnswer: -14, -3\/5, 1, 48523","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -3?  (a) -0.1  (b) 10  (c) 25280.83\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence fx when two letters picked without replacement from ffxffxfffxffffff?\nAnswer: 13\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i - 2*r + 476 = -0*i, -3*i + 5*r - 470 = 0. Let q = i - -175. What is the remainder when q is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*s - 2934 = 2*v + 4696, 5*v = -2*s + 3845. What are the prime factors of s?\nAnswer: 2, 5, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 21*f + 8*f**2 - 45*f + 24*f.\nAnswer: 8*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify r**(-2)*r**0*((r*r\/r**(-1\/4)*r*r*r)\/r)**50*(r*r\/r**7)\/r**1*r\/(r*r**(6\/5))*r*r**(1\/7)*r assuming r is positive.\nAnswer: r**(14381\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 17508528 divided by 6?\nAnswer: 2918088","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = 13*o**2 - 4*o + 6. Let i be u(3). Let w = 105 - i. Is (w - -5)\/((-5)\/17035) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 2 + 5 - (-8)\/4. Suppose j*f = 4*f. Suppose -5*m + 166400025 = -4*h, -4*h + f*m = 4*m + 166399980. What is h rounded to the nearest one million?\nAnswer: -42000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 24028, 2 in ascending order.\nAnswer: -2, 2, 24028","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}