{"text":"Question: Let z be (-42 - 24\/3)\/(-2). Solve 0 = 3*b - 12, k + 9 = -3*b + z for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -27, -4, -121, -2 in descending order.\nAnswer: -2, -4, -27, -121","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 45\/4 of a minute in seconds?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -0.8  (b) -2  (c) -3\/4  (d) -0.02  (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = 22*p. Let u(r) = 6*r**2 - 2*r**2 - 3*r**2 - 4*r**2. Calculate u(v(b)).\nAnswer: -1452*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence gw when two letters picked without replacement from {g: 3, r: 1, w: 2, y: 1, i: 3}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 3\/6742 at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -801 divided by -1009286?\nAnswer: 801\/1009286","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 66317, 265087, 596311, 1059989, 1656121, 2384707?\n\"Answer: 66227*j**2 + 89*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -26 or -4\/5?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 37268.\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -3 - -20. Suppose 0 = 5*m - 4*w + 3*w - 80, 0 = 2*w. Differentiate -y + 11*t**3 + 4 - 4 - m with respect to t.\nAnswer: 33*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 745942*f**6 + 532250*f**2 + 2*f wrt f?\nAnswer: 89513040*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 13 a factor of 1196?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Does -2317 = -2309?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 1\/5  (b) -0.1  (c) 2  (d) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 3540 and 4382815?\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -119 = -3*f + 2*w - 398, -194 = 2*f - 4*w. Let c = -68 + -150. Let k = f - c. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -184297105\/4 or -46074275?\nAnswer: -46074275","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = -156*u**2. Let b(q) = -2*q**2. Determine y(b(m)).\nAnswer: -624*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -32*x - 30*x - 38*x**2 + 62*x + 121*x**2.\nAnswer: 83*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d - 146 = -5*q, -2*q = 2*d + 37 + 45. Let n be (4\/(12\/d))\/(8\/136). What is n rounded to the nearest ten?\nAnswer: -220","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 6  (b) 2\/3  (c) 4\/5  (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 1255 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**6\/(j*j\/(j\/j**(-2))))**(-17)*((j*j**(12\/11))\/(j*j*(j**(-3)*j*j)\/j*j*j))**37 assuming j is positive.\nAnswer: j**(-1272\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -15.933 - -15.93315988. What is v rounded to 6 decimal places?\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3076 + 5*w - 9*w - 3036 + 3*w.\nAnswer: -w + 40","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Convert 147427.7ml to litres.\nAnswer: 147.4277","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = -2*w**3 + 5*w**2 - 6*w + 22. Suppose -25*m + 24*m + 4 = 0. Let l be g(m). Let x = -47 - l. Let s(k) = -k**3 + 2*k**2 + 3*k - 3. What is s(x)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = 62*v + 162. What is the remainder when t(3) is divided by (5\/(-10))\/(6\/4)*-21?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 80896802 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -22330303 (base 4) in base 13?\nAnswer: -17551","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-15*p + 9*p + 10*p)*(4*p + 8 - 8) + (-5*p - 21 + 21)*(p + 5 - 5) + (p**2 + 2*p**2 - 2*p**2)*(0 + 0 + 1).\nAnswer: 12*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = -60345*b**3 - 2533. Let h(i) = 143*i**3 + 6. Give -2533*h(r) - 6*o(r).\nAnswer: -149*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 183 - 18. What is the tens digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -51 - -53. Suppose -4*n = -14 - p. Suppose 3*i - 425 = n*t, 4*i + 3*t = 270 + 330. What is the tens digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-3 - (-15 + 5) - 16) + 9.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 13959 is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = -9 + 0*p - 1 + 3*p. What is the units digit of u(9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 7527 and 419775.\nAnswer: 579","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*z = -22 + 10. Suppose 0 = -6*g + 3*g + 252. What is the smallest common multiple of 40 and (z\/(-4))\/((-3)\/g)?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2684694 is divided by 805?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify h**0*h*h\/(h\/h**(-4\/15))*h*(((h**(-3\/8)\/h*h)\/h)\/h)**(-13) assuming h is positive.\nAnswer: h**(3913\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 9 in -2\/11, 3, -2\/151?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Put -5879, -134, -25 in decreasing order.\nAnswer: -25, -134, -5879","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (-359331)\/(-294)*7 + (-6)\/4?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t**4\/7 + 1284*t**3\/7 - 4*t**2\/7 - 1284*t\/7 = 0. What is t?\nAnswer: -321, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = -d + 5. What is b(5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g - 5*u - 8 = 0, -2*g + 2*u + 32 = -3*u. Solve c - 4*s = 12, 4*s + g = 2*s for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 167682 is divided by 33535.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*g + 2*g = 2*p + 10, -5*g + 25 = -3*p. List the prime factors of g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k + 6*k = 74*k - 216. Put -31, -1, -5, k in ascending order.\nAnswer: -31, -5, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -77\/320 and ((-198)\/(-132))\/((-35)\/(-22)).\nAnswer: 2240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = 9*u**3 - 490*u**2 - 919*u - 468. Let x(b) = -15*b**3 + 815*b**2 + 1532*b + 780. Let w(z) = -13*l(z) - 8*x(z). Suppose w(i) = 0. Calculate i.\nAnswer: -1, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 2007399\/14 or 143387?\nAnswer: 143387","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 557*h - 560*h - 12. Let v(j) = -j - 1. Let y(b) = -b. Give h*y(t) - v(t).\nAnswer: 5*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 13614 and 36?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -3106 or -40374\/13?\nAnswer: -3106","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0.598 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth smallest value in 1, 2, 0.5, 1\/3, 12\/385, -30?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-20)\/24 + 1)*6\/10*(-105)\/(-1008)?\nAnswer: 1\/96","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/3 in 1.4, 5, -56?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 2866 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 13229400 a multiple of 408?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + sqrt(13) + ((-5*sqrt(1872))**2 - sqrt(1872) - sqrt(1872)) + sqrt(65)\/(sqrt(5) + 5*sqrt(5)))*-5*-4.\nAnswer: -1370*sqrt(13)\/3 + 935980","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 10 and 1973.\nAnswer: 19730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = 66*z**2 + 562*z - 44. What are the prime factors of q(9)?\nAnswer: 2, 5, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 71*a - 52 = -152 - 184 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/19, -39\/4, 0.4.\nAnswer: -39\/4, 2\/19, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = 6*b**3 - 2*b**2 - b + 2. Calculate s(-2).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 4891 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 2599 a factor of 46123896?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 6583934 to the nearest integer?\nAnswer: 187","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = h - 15. Let c be l(16). Sort c, -11, 3 in ascending order.\nAnswer: -11, c, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -5508 + 10246. Does 7 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-467432)\/19640*(-10)\/7.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 332742?\nAnswer: 2, 3, 55457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2412 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/4?  (a) 0.3  (b) 13  (c) -2\/147  (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Add together 137 and -0.123.\nAnswer: 136.877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = -f**3 + 5*f**2 - 3*f - 1. Let n(p) = -p**3 - 7*p**2 - 19*p + 2. Let c be n(-5). Let k(q) = 25 + 21 + 2*q + q - 4*q - c. Calculate -a(w) + k(w).\nAnswer: w**3 - 5*w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -30359.4 and -0.4?\nAnswer: 12143.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3497 = 6*y + 929. Let a = 601 - y. Let c = -121 + a. Is c a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = -18*s - 32. Give h(0).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 144 and 3984.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5 - 2*c**3 - 5)*(3*c - 2*c**2 - 3*c) + 4*c**5 - 5*c**5 + 2*c**5 + 5*c + 5*c**5 - 5*c.\nAnswer: 10*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 135*n**2 + 29*n**2 - 117*n**2.\nAnswer: 47*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 13 a factor of 36435?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -958 divided by 15\nAnswer: -958\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -630 times -7\nAnswer: 4410","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d - 34 = 5. Let f = d + 18. Suppose f*z + 7 - 17 = 0. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.45 and -0.422.\nAnswer: -0.1899","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 250992 and 426288.\nAnswer: 3984","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*n + 6 = -13 - 14. Sort 4, n, 0.1, -5, 17\/12.\nAnswer: -5, 0.1, 17\/12, n, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11*d - 10 = -d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = -q**2 + 2*q + 14. Calculate the remainder when p(0) is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = 42*h**2 + 58*h - 3. Let v(g) = 33*g**2 + 60*g - 2. Determine 3*b(r) - 4*v(r).\nAnswer: -6*r**2 - 66*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 4\/3  (b) -5  (c) 798\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 0.4, 1\/5, 0.1, -5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -1 (base 8) to base 14\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 j and 2 h when three letters picked without replacement from jcehvjvh.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from hhklaaaakhhkakkak. Give prob of picking 1 h, 1 a, 1 k, and 1 l.\nAnswer: 36\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 7273 + -7261. Solve -l*i - 530 + 494 = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 3.09 + -0.39. What is c rounded to 0 dps?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = o - 1. Let n be d(1). Let b(g) = g**2 + g + 48. List the prime factors of b(n).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 23981382 and 90?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -1.86 times -44870\nAnswer: 83458.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/3 of a hour in minutes?\nAnswer: 140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Determine c, given that -c**3\/5 + 93*c**2\/5 - 434*c\/5 - 528\/5 = 0.\nAnswer: -1, 6, 88","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 5320926 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -3.2 + 3.03. Let u = 0.239 + a. Round u to 2 dps.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1 + -2. Let k = 5 + p. Solve -3 = -k*j + 3*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 g, 2 e, and 1 c when four letters picked without replacement from {g: 1, c: 7, n: 8, e: 2}.\nAnswer: 7\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = -j**3 - 23*j**2 - 40*j + 58. Let c be p(-21). Let v = 30 + -20. Solve 3*o + 6 = -3*n, -n - 5*o + v*o + c = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (12 - 0) + -2 - -158. Does 167 = w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of (201\/16)\/((-36)\/24) and -31\/12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1010100111101101 - -11000110111?\nAnswer: 1011000000100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2505659419.\nAnswer: 2505659419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = g**2 + g**2 - 3*g**2 + 3 + 5*g. Suppose -z - m + 3*m + 13 = 0, 5*z + 4*m - 9 = 0. What is the units digit of i(z)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 474560.4km in micrometers?\nAnswer: 474560400000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 2 + 0. Let y(b) = 14*b**z + 4 - 13*b**2 - 5*b - 2. Suppose -19*v - 24 = -23*v. Determine y(v).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:26 AM and 6:42 AM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-60)\/(-36))\/((-3)\/(-81)). Suppose -49*a + 3*a**2 + v*a - 15*a**2 = 0. What is a?\nAnswer: -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = 3*l**2 - 154*l - 3696. Let c be v(-20). Solve 63*u = 136*u - c for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 61.009 to the nearest ten.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Factor -t**3\/3 + 2179*t**2\/3 - 1332695*t\/3 + 153503525\/3.\nAnswer: -(t - 1015)**2*(t - 149)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 28932717?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -55\/273 - -1\/21. Let h be 56\/(-36) + 316\/180. Which is the nearest to k?  (a) -0.5  (b) h  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*x = c + 68, x - 1255 = 61*c + 2589 for c.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-3)\/(3 - 15\/6). Let d be ((-4)\/(-9))\/(w\/(-27)). Solve -4*p - 2 = d for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 887958785*q - 1623818228 wrt q.\nAnswer: 887958785","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(26)\/(sqrt(2) - (-1*sqrt(2) - sqrt(2)) - sqrt(2))*-6 + -1.\nAnswer: -3*sqrt(13) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 890, 3496, 7834, 13904, 21706, 31240, 42506?\nAnswer: 55504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -29382 divided by 498.\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 361917 a multiple of 59?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.13 - -4.87. Let z = 73.3 + -73. Which is the closest to -0.1?  (a) n  (b) 2  (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 8.3 * 0.0126.\nAnswer: 0.10458","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5064*h = -276*h + 761*h + 516057 for h.\nAnswer: -93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = -3*z - 11. Let a be m(-5). Let n be (2\/4)\/(a\/104). What is the first derivative of -6 + n - 3 + 11*b wrt b?\nAnswer: 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 28 - 139\/5. Let u = -1.4 + 1. Let z = u - -0.8. Which is the biggest value?  (a) z  (b) 2\/3  (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*(sqrt(153)\/(6*sqrt(36)))**2*-1.\nAnswer: 17\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -2*w**2 - 268*w - 6279 wrt w.\nAnswer: -4*w - 268","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 71 minutes after 3:42 AM?\nAnswer: 4:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 20 and 1940.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 303 minutes after 1:02 AM?\nAnswer: 6:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00870539 to 5 dps.\nAnswer: 0.00871","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4779466?\nAnswer: 2, 2389733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -0.3  (b) -2\/27  (c) 0.1  (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Does 2689 divide 1660417165?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 39148817\/364 - 107552. Let v = 1\/52 + i. Sort 0, v, 3 in increasing order.\nAnswer: v, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = -7*g. Let t(l) be the first derivative of 0*l**2 + 4 + 1\/3*l**3 + 0*l. What is f(t(n))?\nAnswer: -7*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = -12*s**3 + 292*s**2 - 104*s + 185. Determine n(24).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((-2*sqrt(847)*5 - (-1*sqrt(847) + sqrt(847) - sqrt(847))*-5) + 1)*-1 + 1 + -2)**2.\nAnswer: -660*sqrt(7) + 190579","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) be the third derivative of -o**7\/420 - o**6\/360 + o**5\/120 + 17*o**3\/6 + 9*o**2. Let b(k) be the first derivative of a(k). What is n in b(n) = 0?\nAnswer: -1, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*n - 1 = -n. Let j(t) = 167*t**2 + 1. What are the prime factors of j(n)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1217\/1488 - 901147\/1488. Let x = u + 2409\/4. Calculate the common denominator of x and -35\/12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 75, 3, 73 in descending order.\nAnswer: 75, 73, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 328+-103472.43\nAnswer: -103144.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = b + 17. Let w be m(-14). Suppose -w*o = -0*n - n - 5, 0 = -n - 2*o + 10. Let g be (n - 2)*(-3)\/(-2). Solve g*v = 3*h + 3, 5*h + 15 = -6*v + v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 8492\/(-193)*7\/56*(144\/(-363))\/4.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) be the first derivative of z**3\/3 + 19. Let i(b) = 12*b. What is x(i(y))?\nAnswer: 144*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = -a**3 - 8*a**2 - 8*a + 22. List the prime factors of p(-9).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -105 - -36 - ((-20 - -19) + -6)\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1021013 (base 4) to base 10.\nAnswer: 4679","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 4930*-5\nAnswer: -24650","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 22 - 22. Solve t = 7*u - 2*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(77) + (sqrt(77) - (-6*sqrt(77)*-1 - sqrt(77))))*-3)\/(-2*sqrt(1331) + sqrt(1331) - (sqrt(99)\/sqrt(3))\/sqrt(3)))**2.\nAnswer: 63\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 3411427365 to the power of 1\/2, to the nearest integer?\nAnswer: 58407","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -18 divided by 16\nAnswer: -9\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v = 3 + 1. Let b be (-14 - -17)*v\/2. Let a be (6\/28)\/(b\/4). Is 0.1 != a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 711811 divided by 11\nAnswer: 711811\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = -41*b**2 + 77*b + 7. Let a(h) = -82*h**2 + 192*h + 13. Calculate -2*a(r) + 5*z(r).\nAnswer: -41*r**2 + r + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert -230 (base 5) to base 8.\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide -836 by -91.\nAnswer: 836\/91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {w: 1, s: 1, b: 2, m: 1, t: 4}. Give prob of sequence bwb.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express (m**3 + 4*m**3 - 4*m**3)*(m + 5*m - 5*m) - 39*m - 40*m + 5*m**4 + 85*m in the form f + d*m**3 + s*m**2 + z*m + b*m**4 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = -5*d - 2*v, -4*d + 5*v + 1 = -3*d. Let t(w) = -d + w**2 - 7 + 5*w - w. List the prime factors of t(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -15, -2, 0 in decreasing order.\nAnswer: 0, -2, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in one tenth of a tonne?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 19875859?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -1aaed (base 15) in base 13?\nAnswer: -306b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -5708 - -5723. Solve -9 = -2*q - a for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3.420945 nanometers in millimeters?\nAnswer: 0.000003420945","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 4*m**3 - 262*m**4 - 1662 - m**2 + 628 + 41*m**4 + 155*m**4 wrt m.\nAnswer: -1584*m + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 70*l**3 - 19737069 + 19737069.\nAnswer: 70*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 613 - 236 + 2*o**3 - 235 - 142.\nAnswer: 2*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = -1 + t**3 + 9*t - 4 - 4*t**2 - 3*t**2. List the prime factors of b(6).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve s - 5*a + 10 = 0, 0 = -48695*s + 48698*s + 4*a + 49 for s.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 2916, 11562, 25968, 46128, 72036?\n\"Answer: -f**3 + 2886*f**2 - 5*f + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 40 + -24. Let t = w + -22. Put -3\/5, 4, t in decreasing order.\nAnswer: 4, -3\/5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -239d50 + 2?\nAnswer: -239d4e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -36*u - 33 = -25*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 496 minutes before 1:21 AM?\nAnswer: 5:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-16)\/40 + (-34)\/(-10). Suppose m*z = -z. Suppose z*i + 22 = 2*i. Is i a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 93407 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -28*q + 24*q = 4*l - 132704, 0 = -5*l - 2*q + 165865. What is the ten thousands digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 3\/4?  (a) -8  (b) -5  (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -0.612 - -0.4432. Round a to 2 dps.\nAnswer: -0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be -1 + (-51)\/(-6) + -2 + -1. What is j in k*j + 0*j**2 - 3\/2*j**3 - 3 = 0?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) be the third derivative of -j**4\/24 + 7*j**3\/2 - 7*j**2 + 42*j. What is x(6)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 3\/(-2)*1*(-34)\/3. What is c in -16*c**2 + c + i*c**2 - 10 + 4 - 2*c = 0?\nAnswer: -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 22186.85 microseconds to seconds.\nAnswer: 0.02218685","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*g**3 + 338 - 338.\nAnswer: 3*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = -2*u**2 + 2*u - 1. Let c(a) = a**2. Let r(j) = c(j) + s(j). Let b = 1 - -1. Give r(b).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*m - m + x + 6, 4*x = -8. Suppose 0 = -3*g - 4*s - m, 3*g - 3*s - 2 - 22 = 0. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = -4*y**3 + y - 2. Let u(t) = -41*t**3 + 4*t - 11. What is 4*o(j) - u(j)?\nAnswer: 25*j**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:23 PM and 10:11 AM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 2  (b) 0.2  (c) -0.04  (d) 0.138  (e) -0.1  (f) -0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.003872787 rounded to 6 decimal places?\nAnswer: -0.003873","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1333.2 + 13083.\nAnswer: 11749.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence db when two letters picked without replacement from sbdgssdnsssddsg?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**3\/p*p**5)\/(((p*p**(1\/13))\/p)\/p*p**(-8)\/p) assuming p is positive.\nAnswer: p**(220\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m\/m**(-25)*m**(-15\/4))\/(m**41*m**(3\/4)\/m))**38 assuming m is positive.\nAnswer: m**(-703)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -33775*p**3 - 2*p**2 + 7*p + 539.\nAnswer: -202650","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = -4*y**2 - 3*y + 4. Let i be t(-2). Let c be (2 + i - -8) + 1. Sort c, 8, 0.3 in increasing order.\nAnswer: 0.3, c, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = 6*l**3 + l + 7. Suppose m + 15 = -2*k + 18, 3*m + 5 = k. Let s(b) = b**3. Calculate m*q(v) + 5*s(v).\nAnswer: -v**3 - v - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 469.1765m?\nAnswer: 46917.65","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) be the second derivative of v**5\/10 - 41*v**4\/6 - 176*v**3\/3 - 180*v**2 + 96*v. Let c(s) = 0. Calculate s.\nAnswer: -2, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve z + 22 = 4*g, -4*z = z + 6*g + 32 for z.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -3.81 + 5.81. What is the nearest to 2\/137 in y, -0.5, 5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n + 3*h = -2*h + 9, 0 = 3*n + 2*h. Let c(q) = q**3 + q**2 - 3*q - 2. Let w be c(n). Solve u + 4*i = 1, w*i + 4 = 4*u + i for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4880472587 to the power of 1\/7, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 8742.004t in micrograms?\nAnswer: 8742004000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1209.\nAnswer: 3, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 2*-215712\nAnswer: -431424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort 19, -9, 4 in increasing order.\nAnswer: -9, 4, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2)\/(-13) + (-1189)\/377?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 2\/(-4) - 18\/(-4). Suppose 0 = -3*x - 8*x + 77. Differentiate k - x*w + 0*w + w with respect to w.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-1)\/((-280)\/25) + (-6 - 132\/(-21))\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = -a**3 - 227*a**2 - 1946*a - 10. What is u(-9)?\nAnswer: -154","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = 21*t**4 - 21*t**2 - 5*t - 5. Let h(g) = -g**4 + g + 1. Let n(o) = -5*h(o) - q(o). What is the third derivative of n(l) wrt l?\nAnswer: -384*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -93*o**4 + 306*o**2 - 306*o**2 - 2*o**4 + 2*o**4 + 2*o**4 + (o**4 + 7*o**4 - 4*o**4)*(2 + 1 - 2) - o**4 + 4*o**4 - o**4.\nAnswer: -85*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 104591599 to the nearest integer?\nAnswer: 471","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 divided by -2784.\nAnswer: -1\/2784","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*m = -0*m - 5. Let g(z) = -12*z**2 - 10*z + 12. Let s(x) = -1 - 5*x + 2*x + x**2 + 4*x. Determine m*g(t) - 10*s(t).\nAnswer: 2*t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -837950 = -89*h + 429410. Is 4 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((7\/(-4))\/(-7))\/((-2)\/8)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*j**2 + 1105 + j**2 - 2*j**2 - 1178.\nAnswer: j**2 - 73","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = s**2. Let q be f(3). Suppose -3*w + o - q = -26, 3*o + 1 = -w. What is the third derivative of 4*c**4 + c**2 + w*c**4 - 5*c**4 wrt c?\nAnswer: 96*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) be the second derivative of -171\/2*l**2 - 1 - 8*l + 24*l**3. Find the first derivative of t(d) wrt d.\nAnswer: 144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 979962, 979963, 979964, 979965, 979966, 979967?\nAnswer: 979968","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 12, -5, 0, -98.\nAnswer: -98, -5, 0, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {x: 3, m: 12}. Give prob of sequence xxmm.\nAnswer: 11\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 81179842.\nAnswer: 2, 40589921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.24187 rounded to one dp?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-27*(-11)\/(-11))\/(-4*(-12)\/(-80)).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -145121296*u - u**2 + 145121296*u.\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 723040?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 0.7, 7, -0.4, 0?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0 - -2. What is the units digit of 6 + (-2)\/(-3 + d)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {k: 2, m: 7, h: 3, u: 8}. What is prob of picking 1 k and 1 m?\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u + m + 4 = -1, -3*u + m - 15 = 0. Let w be (-14)\/u - 4\/8. Let f be ((-4)\/(-5))\/((-189)\/(-420)). Is w != f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*x**4 + 13830*x**3 + 96884*x**2 + 166128*x = 0.\nAnswer: -4, -3, 0, 6922","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) be the third derivative of o**8\/10080 - o**7\/1008 + o**6\/240 + 17*o**5\/60 - 2*o**2. Let z(u) be the third derivative of c(u). Calculate z(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6 = -2*c - 4*x, 27*x = -18*c + 60*c + 31*x + 126 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 2*-1*(-3)\/6. Suppose -r = s - 6. Suppose -2 + 7 = s*d. Solve -d = -5*z + 14 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of (20 + -21)\/(1\/(-1249))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*sqrt(7)*1 + sqrt(84)\/sqrt(48) - (sqrt(63) + 1)**2*5.\nAnswer: -320 - 53*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 713 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -2.68 - -2.68. What is the nearest to t in 10\/9, -1\/5, 0.5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 0.2, 2, 0.3, 16, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6 + 16*n - 6 + 3*n + 0*n - n + (-3 + 3 - 1)*(5 - 5 - n))*(2 - 1 + 0)*(-1 - 4 - 2)*(2*n - 7*n - 6*n).\nAnswer: 1463*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-6)\/(-7))\/((-10)\/(-70)). Let l = 8 - z. Solve -i + 0*i = -5*f - 9, -l*f - 18 = -4*i for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0377801844 to three decimal places.\nAnswer: -0.038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 1120 and 6080.\nAnswer: 42560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 130499695?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 159.25 + -155.25. What is the nearest to -13 in -25\/6, 0.3, o?\nAnswer: -25\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1016570759 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -1030.549 rounded to 0 dps?\nAnswer: -1031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 215 is divided by 36.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 682 is divided by (3\/(-6))\/((-31)\/1178).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.8857014 minutes to microseconds.\nAnswer: 53142084","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 871412 to the power of 1\/3, to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, -18, 1, -8 in decreasing order.\nAnswer: 1, 0, -8, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = -26*o**2 - 20*o - 2. Let u be a(-3). Suppose 0*t + 1320 = 5*t. Let r = u + t. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = 23*n - 6. Let g be -2*1 - (-9 + 0). Is q(g) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 186*z + 125 - 68 - 615 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = q**2 - 10*q + 18. Suppose 37*l - 465 + 243 = 0. Calculate t(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*a - 6 = -t - t, 5*a = -5*t. Let i(p) = p**3 + p**2 + p. Let z(u) = u**2. What is t*i(d) - z(d)?\nAnswer: d**3 + d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 368131 divided by 2350.\nAnswer: 368131\/2350","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-4)\/7*(-1)\/(-2). What is the closest to 0.2 in 3, v, -1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3983684?\nAnswer: 2, 229, 4349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Put 600, 1531, -4 in decreasing order.\nAnswer: 1531, 600, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -9.8 + 10.8. Put i, 2, -0.01, 0.2 in decreasing order.\nAnswer: 2, i, 0.2, -0.01","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = -1 - 3*h**3 + h**2 + 0 + 22*h**3. What is the common denominator of p(-1) and 4*(-2)\/(20\/11)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 28*p - 31*p. What is the closest to p in 0.4, 5, -4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {y: 4, c: 2, w: 1}. Give prob of picking 2 c and 1 y.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 93\/224 and -87\/416080.\nAnswer: 832160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*x + 3*o = -2*x + 9, x + o + 5 = 0. Let s(z) = -z**3 - 2*z**2 + z - 3. Let g be s(x). Factor 8\/9*t - 8\/9*t**g + 2\/9*t**4 + 2\/3*t**2 - 8\/9.\nAnswer: 2*(t - 2)**2*(t - 1)*(t + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 1\/6 + (-2285999994)\/(-36). Round b to the nearest 1000000.\nAnswer: 64000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -44 + 38 + ((-3)\/(-93))\/((-4)\/(-736))?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Determine r so that -2*r**5 + 2*r**4 + 74*r**3 + 70*r**2 = 0.\nAnswer: -5, -1, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000009712483 rounded to 7 dps?\nAnswer: -0.0000097","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from khkkkhkh. What is prob of picking 2 k and 1 h?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 135576978?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert 268.19466 minutes to hours.\nAnswer: 4.469911","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 34470, 34522, 34574, 34626, 34678, 34730?\nAnswer: 34782","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 5648 > 5642?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = 159*g - 117. Calculate the lowest common multiple of d(5) and 10.\nAnswer: 3390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*z + 5*t + 243, 4*z + 31 = -3*t + 250. What are the prime factors of z?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 8 + -5. Suppose -8 = -4*f + 3*n + n, -8 = -4*f - n. Suppose s*q - 75 = f*q. Is q a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 210378 rounded to the nearest 10000?\nAnswer: 210000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*u - 13*u = -6*u + 2, q + 3*u = 8 - 15 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 5484583, 5484567, 5484549, 5484529, 5484507, 5484483?\n\"Answer: -w**2 - 13*w + 5484597","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*l = 5*l - d + 5383, -l + 1789 = 3*d. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -167, -358, -571, -800, -1039, -1282, -1523?\nAnswer: -1756","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 634 - 545. What is the remainder when 166 is divided by i?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*c - 52 = -n, 148 = 3*n + n - 5*c. Suppose 3*u - 303 = -4*j - n, 352 = 4*u + 3*j. Let i = u - 38. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 126 minutes before 3:00 AM?\nAnswer: 12:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -7 + 9. Suppose 0 = p + d*o + 2, -5*p - 3*o = -8 - 10. Suppose 5*k - p = 4*k. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -334.8251 rounded to 1 dp?\nAnswer: -334.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 2*((-460)\/1160)\/(-23)\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from hyehhdyhdhhe. What is prob of picking 1 h and 1 d?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.2 + -3.2. Which is the nearest to 1?  (a) -3\/2  (b) i  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*i + o = -95, -o - o = -4*i + 98. What is the remainder when i is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -4616359*t**2 + 245218*t?\nAnswer: -9232718","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is (10*24\/40)\/10?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1476*-0.13.\nAnswer: -191.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-1700)\/40 + 6\/(-4). Let v be (-1 - -1)\/(l\/11). Which is smaller: v or -1\/21?\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -840991612 divided by -210247903\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*v**4\/5 - 26758*v**3\/5 - 47366604*v**2\/5 - 5971770792*v - 6387269512176\/5.\nAnswer: -2*(v + 654)**3*(v + 11417)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*d**2 + d**2 - d**2)*(-1 + d + 1)*(-4 + 4 - 9)*(d - d + 2*d).\nAnswer: -72*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 173 + 79 = 4*h. Calculate the remainder when h is divided by 10\/1*6\/(-45)*-12.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 21509*b**2 - 15267*b.\nAnswer: 43018","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 2 - 2)*(-3*d + 0*d - d)*(0*d + 4*d - 2*d) + (-2*d + 0*d + 0*d)*(14*d + 11*d + 12*d).\nAnswer: -42*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {b: 3, f: 4}. Give prob of picking 2 f and 2 b.\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 68*((-1236)\/48 - -26). Solve 4*v - 93 = 2*c - 81, 0 = -v - 3*c + y for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -1260*t**3 - 10*t**5 - 10*t + 1260*t**3 wrt t?\nAnswer: -200*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 2.6 to 0 dps.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -45030184 divided by 11026.\nAnswer: -4084","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert 26242 (base 8) to base 15.\nAnswer: 35bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"}
{"text":"Question: Let h(t) be the third derivative of -t**4\/12 - 65*t**3\/6 - 3994*t**2. Give h(-18).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -1 + 149*n - 197*n + 1 - 9 - 9 to w + p*n and give w.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) be the first derivative of -10*d**2 - 27*d + 2. Let v be m(-9). What is the greatest common factor of v and 255?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1451986?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-5)\/(1\/(-1 + 2)). Let z = 3 - o. What are the prime factors of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4524 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -8 + (-285)\/19*(-1)\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {z: 4, l: 3, b: 4}. What is prob of picking 1 l and 1 b?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -29854574\/13 or -2296507?\nAnswer: -29854574\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert 39b0 (base 12) to base 5.\nAnswer: 202422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 95304 divided by -1083\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -76 in -1\/32, -2\/3, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 495 a factor of 268557098?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = -9*z + 2. Let l(f) = -17*f + 4. Let c(y) = 11*k(y) - 6*l(y). Let p be 39\/(-26)*(-4)\/3. Let s(b) = b - 1. Calculate p*c(t) - 5*s(t).\nAnswer: t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 1620 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -7701 - -25792. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -175 and -1686?\nAnswer: 295050","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*u + 12 + 39 = 0. Let r = 22 - u. Suppose -230 = -0*y - r*y. Does 23 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -596 - -713. Calculate the smallest common multiple of 6 and r.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 19 + -18. Suppose -13 = -4*x + 3*x. What is the remainder when x is divided by 8\/(1 - l\/(-1))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0 * 7.42.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -5214 + 1?\nAnswer: -5213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*k - 2*k - 5*k**4)*(-21 + 31 - 49).\nAnswer: 195*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -2 - 1. Suppose -13*x = -10*x - 6. Suppose -3*u - a = x, 0 = -0*a - a - 5. Put q, 0, -1, u in decreasing order.\nAnswer: u, 0, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 4 - 1. Let q(x) = 3*x - 6. Let w(u) = 1. Let p(j) = q(j) + 6*w(j). What is the units digit of p(d)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 25*s**3 - 32 + 69 - s**2 - 41 + 2*s + 2*s**2 to the form o + l*s**2 + a*s**3 + j*s and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence lttx when four letters picked without replacement from {x: 1, l: 3, t: 3}.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2603 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) = n**3 - 6*n**2 + 147*n - 553. Give d(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -2  (b) 4  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 8552\/19 + -450. Let r = 162.8 + -162.6. Sort o, r, 5.\nAnswer: o, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = 4*p**2 - 3*p - 5. Suppose -3*h = -98 - 91. Calculate the remainder when h is divided by s(3).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 37 + 77. What is the remainder when m is divided by 39?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-9 - -1) + (-9 - -11 - -5)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1316087741.\nAnswer: 41, 32099701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) be the first derivative of 11*x**2\/2 + 3*x + 2507. Let t(o) = 17*o**2. What is i(t(n))?\nAnswer: 187*n**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1676578?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = 2*a**3 - 67*a**2 - 187*a + 254. Let p be y(36). Let t be 40\/(-6)*6\/(-4). Solve -t = w + 5*b, 0 = -p*b + b - 1 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 827594828?\nAnswer: 2, 8059, 25673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 154505441 a multiple of 527?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 14521, 12992, 11463, 9934, 8405, 6876?\nAnswer: 5347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 14551 + 3?\nAnswer: 14554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -104*u + 3880 + 3358 - 5470 for u.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*k - 4*k = -4*k + 16*g - 63*g, -3*g - 4*g + 2*g = 2*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-6 - 5) + 8 + 2 + 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**(-25))**(8\/5)*h**(-31\/5)*h**(-16\/3) assuming h is positive.\nAnswer: h**(-773\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 536541?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k + 3*k + 35 = 5*w, 0 = -2*w + 3*k + 25. Let p(h) = -6*h**3 + 6*h**2 - 5*h + 1. Let m(z) = -7*z**3 + 7*z**2 - 6*z + 1. Calculate w*m(u) - 6*p(u).\nAnswer: u**3 - u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 115 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 122799033 a multiple of 3287?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = -3*c**3 - 4*c**2 + 161*c - 9. Let x(w) = w**3 + w**2 - 40*w + 2. Let k(o) = -2*u(o) - 9*x(o). What is the second derivative of k(j) wrt j?\nAnswer: -18*j - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1214.\nAnswer: 2, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) be the first derivative of d**6\/15 - 68*d**5\/25 - 111*d**4\/10 + 2720*d**3\/3 + 8000*d**2 - 3151. Factor v(z).\nAnswer: 2*z*(z - 25)**2*(z + 8)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 154*l**5 + 3460*l**3 - 2475551*l**2 wrt l?\nAnswer: 9240*l**2 + 20760","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Factor 99*v**3 - 109*v**3 + 0*v**4 - 8*v + 16*v**2 + 2*v**4.\nAnswer: 2*v*(v - 2)**2*(v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*x**2 - 3*x**2 + 0*x**2 + (-4*x - 4*x + 4*x)*(-889 + 889 - 21*x) to z*x + m + i*x**2 and give i.\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*n**2 - 6*n**2 + 2*n**2)*(-3 + 3 - 2*n**3 + (-2*n + 2*n**2 + 2*n)*(-2*n + 2 - 2) - 5*n**3 + 4*n**3 + 2*n**3 + 4*n + 2*n**3 - 4*n).\nAnswer: 6*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence nxy when three letters picked without replacement from nyxxyynwnyqyxyywywn.\nAnswer: 16\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1 or -11\/145108?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = 42*w + 1. Let p(x) = x**3 - 16*x - 14. What is the remainder when n(1) is divided by p(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 41 - 27. What are the prime factors of h?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*x - 3*x + 5*x)*((0*x + 0*x + 2*x)*(2 + 0 + 0) + 4*x - 4*x + x + x - 4*x + 5*x + 3*x - 2*x + 958 - 866).\nAnswer: 32*x**2 + 368*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 10.33 - 11.33. What is the closest to -0.04 in 2\/7, -0.3, q?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -335327 + 335327. Let k = 3.89 + 0.11. Let j = -2 + 2.1. Which is the second biggest value?  (a) k  (b) j  (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 55 is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 57\/437546 and 93\/439858?\nAnswer: 332972506","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 59027 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: Divide 2655336 by -12.\nAnswer: -221278","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 261\/81 + 4\/(-18). Solve -y*w = w - 16, -4*q + 2*w - 28 = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 2 + 5\/((-10)\/(-12)). Let i = a - 4. Suppose 0 = 4*x - i. Calculate the highest common divisor of 2 and x.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) be the second derivative of y**5\/10 - y**4\/12 - y**3\/6 - y**2\/2 + y. Let f(z) = -z**2 + 6*z + 2. Let l be f(6). Suppose l = -4*u + 2*u. What is s(u)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1060 = u + 245. What is the common denominator of ((-2)\/14)\/((-25)\/(37275\/(-72))) and u\/(-162) - (2 + 1)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1412 - 6078 = 1262*s + 4168 for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = -b**3 + 9*b**2 + 21*b + 21. Let d be p(11). Solve -d*m + 18 = -32 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 g and 1 e when two letters picked without replacement from {g: 11, e: 4, c: 1, n: 1, q: 2}?\nAnswer: 44\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5007 = -100*m + 2193. Solve -121*t + 112*t - m = 0 for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 8 - (17 + -11) - (3 - 1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 24 + -24.15. Let f = -42.7 - -42.5. Is n not equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*(sqrt(130) - (sqrt(130) - (sqrt(130) + sqrt(130)*3 + sqrt(130)))*4)*-6)\/(sqrt(30)\/(sqrt(3) + sqrt(3)*-3) + sqrt(70)\/sqrt(7)*-1).\nAnswer: -68*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = 3*v**3 - 6*v**2 - v - 6*v - 9 + v - 2*v**3. Let h be ((-52)\/16 + 3)*-28. Give y(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 16477631 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 0.6529818 litres?\nAnswer: 652.9818","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = -7*z - 100. Let c(o) = 24*o + 299. Give 4*c(p) + 14*j(p).\nAnswer: -2*p - 204","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = f**2 - 8*f + 8. Let m be v(6). Let u = 3 + m. Let y(s) be the first derivative of s**4 - s**3\/3 + s**2\/2 + s + 3914. Give y(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -14 - (-102 + 64 + 3).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 31917534 to the nearest integer?\nAnswer: 317","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 1\/2, 2, -4, 2\/3, 19?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y + 230 = -3*i - 2*y, 0 = -5*i - 3*y - 388. Let o = i - -122. Solve 4*z - f - 4*f + o = 0, 2*f = 10 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = 5*p**3 + 2*p**2 - 4*p - 5. Let r(y) be the second derivative of y**5\/20 - y**4\/3 + y**3\/3 + 7*y**2\/2 - 8*y. Let f be r(3). Is x(f) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 306 and 3570.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 3 + 1)*(4*f**4 - 2*f**4 - 3*f**4) - 314*f**2 - 14*f**4 + 314*f**2.\nAnswer: -15*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = 203*f**2 + 7*f + 3. Let d(m) = -135*m**2 - 5*m - 2. Determine -7*d(a) - 5*p(a).\nAnswer: -70*a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 491*w + 250*w + 40663 - 40661 - w**2 to the form f*w**2 + p*w + v and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -22600 - -5882. Let i be l\/2988 - (-2)\/9. Let s = 29\/83 - i. What is the common denominator of -109\/14 and s?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 7 + (51 - 6 - 99)\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be -6*151*2\/(-4). Let a = c - 193. List the prime factors of a.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 43 by 4729.\nAnswer: 43\/4729","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) be the first derivative of -x**8\/840 - x**6\/36 - 2*x**3\/3 + 4. Let t(p) be the third derivative of i(p). Find the third derivative of t(h) wrt h.\nAnswer: -48*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -1883 and -1058222?\nAnswer: 1056339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (6\/6 - 4)*-1. Let y(t) be the second derivative of 3\/10*t**5 + 0 + 5\/12*t**4 + 0*t**2 + 0*t**a + 3*t. Find the third derivative of y(h) wrt h.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of -2 + (7 - (-15 - 11285))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 122\/(-143) - 1240\/(-4030)\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1025?\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 4\/((-140)\/(-155)) - ((-30)\/(-3) - 6). What is the second biggest value in -13, w, -4\/3, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 39784.\nAnswer: 2, 4973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -69.2 - -69. Which is smaller: -5 or i?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (193 + 114023\/(-546))\/(10*4\/(-8)).\nAnswer: 19\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 34645 - -3867?\nAnswer: 38623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 8953, 8772, 8589, 8404, 8217?\n\"Answer: -j**2 - 178*j + 9132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 6251 and 1330.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2 - (-12 + -3 - -43)) + 8?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 22515 (base 6) to base 13.\nAnswer: 1604","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x = -6*x + 90. Is 100\/x*15\/2 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 212*h - 50*h + 119*h + (-3*h - 4*h + 3*h)*(4 - 2 + 1) in the form b + n*h and give n.\nAnswer: 269","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -27526*z + 27530*z - 74 = 15*r, -5*r = -2*z + 22 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*s + s**5 + 0*s)*(2 + 0 + 1) + 4*s**2 - 4*s**2 + 2*s**5.\nAnswer: 5*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 139 and 14357449?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) be the first derivative of -3*d**2\/2 - 13*d - 39. Calculate j(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine y, given that -413526\/5 + 34734\/5*y**3 - 1548\/5*y**4 - 300489\/5*y**2 + 136161*y + 24\/5*y**5 = 0.\nAnswer: 1, 2, 41\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*j - 14 = 23*d - 19*d, 0 = 4*d - 4*j for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 16 - 184\/(-8) - 11118\/255?\nAnswer: -23\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.205701 millennia in years?\nAnswer: 1205.701","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = n + 8. Let u be a(-6). Factor -672*t**4 - 64*t**5 - 226*t**u - 100*t - 240*t**3 - 614*t**2 - 1684*t**3.\nAnswer: -4*t*(t + 5)**2*(4*t + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 22084 is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -46.9245 - 0.0755. Which is the biggest value?  (a) -0.02  (b) -4  (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1834*j + 5301 = 111673 for j.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 5608224923 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express -1 + g + 0 - 5*g - g**3 + g as n*g**2 + q + m*g + r*g**3 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 46767 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 10\/6*324\/90. Suppose -5*h + 34 = 2*r, -10 = r - s*r. Calculate the smallest common multiple of 6 and h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 480\/(-42) + 2\/2. Let w = l - -11. Factor w + 2\/7*q**2 - 6\/7*q.\nAnswer: 2*(q - 2)*(q - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 41803757777 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -14 + (-3 + 13 - 4)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -238 - -238.1. Which is the closest to m?  (a) 3\/4  (b) 1\/6  (c) 12  (d) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {m: 3, j: 5, x: 3, o: 2}. What is prob of sequence mm?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 138652123.\nAnswer: 127, 1091749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 n and 2 w when three letters picked without replacement from hofoowhnahw.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = t**3 - 7*t**2 + 5*t - 3. What is o(7)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 38720 divided by -704?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = 15*a**2 - a + 3. What is the units digit of d(4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = 11*a - 1928. Let o(w) = 3*w + 1. Calculate -f(l) + 3*o(l).\nAnswer: -2*l + 1931","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(84)\/sqrt(6) + sqrt(14))*-6)\/(-1*sqrt(8)\/sqrt(4)).\nAnswer: 12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let -5*p**3\/3 + 2575*p**2\/3 + 19120*p\/3 - 147900 = 0. What is p?\nAnswer: -17, 10, 522","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 513, 977, 1439, 1899?\n\"Answer: -i**2 + 467*i + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2 is divided by (4\/44)\/(11\/121).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 2717 - 2628. Calculate the remainder when q is divided by 45.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 38 divide 260908?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 10483833 to the power of 1\/2, to the nearest integer?\nAnswer: 3238","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 38*((-450)\/(-20))\/9 is divided by 60.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of u**2 - u**2 + 3603 - 582262*u**4 + 580982*u**4 wrt u?\nAnswer: -5120*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 59\/168 and 41\/28.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 470412125?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 4 + -2. Solve -3 + 5*x**2 + x - x - 2*x**m = 0 for x.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 1 + (-23)\/2 - (-14)\/(-28). Let q(c) = -32*c + 25. Let s(f) = 160*f - 124. Let n(d) = y*q(d) - 2*s(d). Differentiate n(m) with respect to m.\nAnswer: 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 divided by -1599.\nAnswer: -1\/1599","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = n**2 + 5*n - 3. Let d be j(4). Let b be -2 - 0 - d*10606. What is b rounded to the nearest one hundred thousand?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 144 and 2664.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*((sqrt(252) - (5 + sqrt(252) + -2*sqrt(252))) + 3)*-6)**2.\nAnswer: -27648*sqrt(7) + 582912","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -513 and -10616?\nAnswer: 5446008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 266 and 105813679.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Divide 5316 by -3130.\nAnswer: -2658\/1565","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Does 9 divide 37501?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = 3*i + 11. What is the tens digit of j(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2319183 + 0.12?\nAnswer: -2319182.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 414204201113 - -3?\nAnswer: 414204201121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -305 + 51. Let m = p + 254.5. Suppose -4*u - 3*w - 4 = -10, 0 = w - 2. What is the nearest to 2 in m, u, -0.1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-4 + -1*sqrt(605))**2 + sqrt(45)\/(sqrt(9) + sqrt(27)\/(2*sqrt(3) + sqrt(3))))*-4 + -4.\nAnswer: -2488 - 355*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence hhh when three letters picked without replacement from {m: 5, q: 4, s: 2, h: 7}?\nAnswer: 35\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Does 54 divide 11101806?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11 - 26 = 4*a - 5*y, -5*y = 3*a - 16. Let n = a - -5. Solve 0*x = x + n for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0 (base 15) to base 14\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1688 is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -19*n - 9 = -16*n. Let f be (-1)\/(-1) + n + 3. Solve 3*d + f = 4*c + 17, -3*c = 3 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -v + 45 = -10*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 16.820558 rounded to 1 decimal place?\nAnswer: 16.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = -1227*s + 667493. Calculate g(544).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/2 of a millisecond in microseconds?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 42.06 + -45.4. Let p = -7.34 - n. Which is the biggest value?  (a) 1\/6  (b) 0.1  (c) 85  (d) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 10 and 40?\nAnswer: 400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = -1 - 8 + 2 + m. Let z be h(12). Suppose 3*k = 16 + 149. What is the highest common factor of z and k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1067*i + 48539 - 15047 = -57203 for i.\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 190*q**3 + 190 wrt q?\nAnswer: 570*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = -621*z**2 + 2. Let h(g) = 4*g**2 - 5. Give -h(x) - j(x).\nAnswer: 617*x**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 223 is divided by 12.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (80*130\/18200)\/(((-276)\/7)\/2)?\nAnswer: -2\/69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 109 divide (-117)\/(55\/(-107) - 18\/(-36))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = 28*b**2 + 10*b - 3. Let p be m(5). Let o be 4\/(-12)*3 + p. Let y = o - 523. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = -n - 4. Let m(u) = -3*u + 44. Let b be m(11). Let d(x) = -5*x - 21. Calculate b*a(h) - 2*d(h).\nAnswer: -h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -11806 - -909036\/77. Let i = 88185\/38108 + 10\/1361. Calculate the common denominator of i and a.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) -4  (b) -0.44  (c) -1\/3  (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 222*k - 73 = n + 227*k, -4*k = 2*n + 62 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Work out -2 * -784083.\nAnswer: 1568166","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1672*q + 676*q + 501*q + 500*q.\nAnswer: 5*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -607713, -1215434, -1823155, -2430876?\n\"Answer: -607721*r + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = 3*y + 7. Let i(q) = q**3 - q**2 - 2*q + 80. Let d be i(0). Suppose 3*z + d = 8*z. What are the prime factors of k(z)?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 q and 3 u when four letters picked without replacement from duuduqdwuuuwupdu.\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 133 and 30419529.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 818956*w**3 - 42*w**2 - 1244*w + 1 wrt w.\nAnswer: 4913736","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Factor -53\/6*x**4 - 389\/3*x**3 - 1013\/3*x**2 - 1925\/6*x - 1\/6*x**5 - 625\/6.\nAnswer: -(x + 1)**3*(x + 25)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 89617 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 82550*p**2 + 225*p - 174?\nAnswer: 165100","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 8.24 + 2.596. Let p = 905 - 894.2. Let b = p - s. What is b rounded to 2 dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1740 and 104835?\nAnswer: 435","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*f - 27 = p - 7, -25 = -5*f + 2*p. What is the closest to -1\/4 in 4, f, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (1 + 1)\/(771\/255 + -3). Calculate the highest common factor of 68 and s.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/3 in -11\/29, 2, 8?\nAnswer: -11\/29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 6 - 2)*(5*d - 5*d**4 - 5*d + (1 + d**3 - 1)*(-4*d + d + d))*(-2 - 1 - 2).\nAnswer: 35*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (22*d**2 + 14 - 14)*(d + 4 - 4) + 0*d**2 + 10*d**2 + 12326 - 12298 - d**3.\nAnswer: 21*d**3 + 10*d**2 + 28","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) be the third derivative of -f**6\/20 + f**4\/24 + 5*f**2. Find the second derivative of b(v) wrt v.\nAnswer: -36*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*(sqrt(30) - sqrt(1080)))\/(-3*2*sqrt(6)) + ((-2*sqrt(1440) - sqrt(1440)) + sqrt(1440) - sqrt(1440) - sqrt(1440))\/(-3*sqrt(18)).\nAnswer: 47*sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*a + 62 = -3*s - s, 3*s - 6*a - 197 = -221 for s.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = 6*n + 152. Let i be x(-15). Suppose 275 = 5*u - 5*q, -2*q + i = 4*u - 134. Calculate the remainder when 90 is divided by u.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = 13 + 0*c + 0 - 3*c + 4*c + c**2. Let n(m) = -15 + 68 - 17 - 21 - 18. Calculate -2*i(a) - 9*n(a).\nAnswer: -2*a**2 - 2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 270 and 1094430.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 4910 - 2885. Let l = -12115\/6 + d. Let q = 2557\/602 - 9\/86. Find the common denominator of l and q.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 637\/3 + -212. Which is the closest to 1?  (a) j  (b) 7  (c) 2\/13  (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 3707 and 19263931.\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 59 - 31. What are the prime factors of (-12 + -1)\/(((-63)\/h)\/9)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*z - z - 156. Let w = -36 + z. Suppose 0 = -4*n + w*m + 51, n + 3*m + 2 - 11 = 0. Solve 4*h = h - n for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 233 - 239. Which is greater: z or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -402 + 450. Calculate the smallest common multiple of 82 and r.\nAnswer: 1968","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 337218036 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 329 - 58761369\nAnswer: -58761040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 31*s + 171348 = -69*s + 767048. Is 9 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**(-1\/2))**(3\/25)\/(t\/t**(1\/4)*t**(-2))*((t\/(t*t**4)*t)\/(t\/((t**0*t)\/t)*t))**(-49) assuming t is positive.\nAnswer: t**(24619\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -36 - -2?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = 4*o**2 + 2*o + 1. Let m be a(-1). Let p be m\/(-686)*10\/5. Let y = -10621\/1372 + p. Calculate the common denominator of y and 83\/14.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 116711 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -1557 rounded to the nearest one thousand?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-55 - -63) + 0 + -13.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = -v**2 - 6*v + 1. Let s be k(-5). Suppose -2*b - 124 = -s*b. What are the prime factors of b?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12*l + 2278 = -116*l - 30*l for l.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = -36133*l - 686581. Calculate u(-19).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d = -181 + 66. Let y = d - -36. Let i = -75 - y. Solve o - 13 = i*x, -4*x - x = 2*o + 26 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d*d*d\/(d\/(d\/d**(-15))))\/d*d*d**(3\/37)*(d**(1\/24))**(-5\/6) assuming d is positive.\nAnswer: d**(96151\/5328)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -65 - 89 + 2*g + 154.\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -170322 - -0.2370506?\nAnswer: -170321.7629494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = -26*o**2 - 1897*o + 10056. What is a(5)?\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -2146.6 rounded to the nearest one hundred?\nAnswer: -2100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 36 - -19. Let i(w) = -8 + w**2 - 28*w + r*w - 24*w. Let u be i(-7). Calculate the greatest common factor of 4 and u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -313173 + 23?\nAnswer: -313150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = f**2 - 10*f + 12. Let o be l(9). Suppose -t + 7 = o. Is 11 a factor of (-530)\/15*(-6)\/t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 14*y**4 - 4*y**4 - 8*y - 8*y**4 wrt y?\nAnswer: 24*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -108, -0.2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is one twentieth of a millimeter in nanometers?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 3463\/11 + -315. Suppose 3*d + 25 = -2*d. Put d, -2\/7, u, 1 in descending order.\nAnswer: 1, u, -2\/7, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -13, 0, 13, 26?\n\"Answer: 13*m - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 3971 - -1854. List the prime factors of g.\nAnswer: 5, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*h**2\/2 - 1881*h\/2 - 939.\nAnswer: -3*(h + 1)*(h + 626)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -10 + 1111110?\nAnswer: 1111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 899, 900, 901, 902, 903, 904?\n\"Answer: s + 898","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 10285996 is divided by 857163.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.4 - 0.2. Let j = 0 - o. Let u = -4.19 + 0.19. Sort j, u, 0 in descending order.\nAnswer: 0, j, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -157.8318 + 44\nAnswer: -113.8318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence mto when three letters picked without replacement from ymlolymymmtjmmooommy?\nAnswer: 4\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -4 - 1064054163?\nAnswer: -1064054200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 3903 + -962. Is 2 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -9621 + 9948. Calculate the remainder when m is divided by 129.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 2 + -12. Let y = 9.9 + r. What is the closest to y in -3, 0.1, -4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 10110001000001 (base 2) in base 10?\nAnswer: 11329","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -27 times 1862.5?\nAnswer: -50287.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*t + 0*j = -6*t - 6*j - 18, 3*t + 219*j + 5 = 217*j for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence totk when four letters picked without replacement from kptwoooowowktkot.\nAnswer: 9\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 5, -14, -5, 22196, -4 in descending order.\nAnswer: 22196, 5, -3, -4, -5, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -262*o - 2430 = -172*o for o.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -181*o**2*u - 2*o**2 + 1201*o*u + 2*o wrt o?\nAnswer: -362*u - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -144.168 + 144. Let f = z + -0.332. Let k = 10.6 + -1.6. Put 0, f, 0.1, k in increasing order.\nAnswer: f, 0, 0.1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be -7 + (372 - -5) - (3 + 1). Suppose -4*t + l = 2*t. What are the prime factors of t - 8 - 2*-1?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 8 - 13. Let a be t + 77 + (1 - 5). Calculate the highest common divisor of a and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (5\/(-2))\/((-14)\/28).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*a = -3*j, 3*j + 9 = -5*a + 1. What is the units digit of 4952\/9 + (-4)\/(-18)*j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0 + 0 - 1)*(-5*r + 3*r + r) + (-211 + 229 + 368)*(0 + 0 - 3*r) to n + g*r and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 16 + -35. Let v = 91 + c. Is 18 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -11 + ee901?\nAnswer: ee8f0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -1024 - 29662338?\nAnswer: -29663362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k + 0*k - 10 = 0, 0 = -5*y - 3*k + 435. Let o(v) = v**3 + 5*v**2 - v + 5. Let j be o(-5). What is the highest common factor of j and y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*(-1 + (sqrt(432) - (sqrt(432) - -6*(sqrt(432) + 0)) - (-1*sqrt(432) + 3)**2) + 2)*-4.\nAnswer: 10560","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*m = -9*m - 155. Let r = m + 0. List the prime factors of r.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = -o**2 + 15*o - 41. Let z be g(4). Solve -z*w = -w - 2 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12661 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in -0.3, 3, 5, -1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 847623.8l in millilitres?\nAnswer: 847623800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide 3069404 by 3484.\nAnswer: 881","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -26 - -37. Suppose r*b - 234 - 800 = 0. What are the prime factors of b?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 119031 to the power of 1\/2, to the nearest integer?\nAnswer: 345","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.107 - 0.049. Let l = -16148 + 16148. Which is smaller: l or x?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) be the first derivative of -1835*o**3\/3 + o**2\/2 + 1408*o - 5420. Find the second derivative of n(p) wrt p.\nAnswer: -3670","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -2\/29, -5990, -3668 in increasing order.\nAnswer: -5990, -3668, -2\/29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*m + 9*m = -2*x + 15, 30 = 3*m + 3*x. Suppose -9*g - 5*v - 198 = -11*g, m*g + 4*v - 495 = 0. What is the tens digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) be the third derivative of q**5\/60 + 89*q**3\/3 - 4*q**2 + 6*q. Let n(v) be the first derivative of o(v). Let k(w) = -3*w + 50. Determine k(n(g)).\nAnswer: -6*g + 50","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = -n - 3. Let i be w(-4). Let k be (1 - i)\/(0 + 1). Suppose -4*y + 4 + 8 = 0. Solve -5*g + 20 = 0, k = -y*p - g - 3*g + 25 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = t**3 + 30*t**2 - 350*t + 57. Calculate the remainder when 226 is divided by s(-39).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 a factor of 136\/102 - (-2067)\/(7\/((-28)\/(-9)))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 300 (base 6) to base 3\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -74.4 + 76.1. Which is smaller: -14 or f?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = 104*b - 103*b + 0*b**3 + b**3 + 1. Let y(c) = -c**4 + 6*c**3 + 12*c**2 + 6*c - 46. Let v(k) = 6*x(k) - y(k). What is the derivative of v(z) wrt z?\nAnswer: 4*z**3 - 24*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p + 96 + 12 = 0. Solve -5*l + 2*o - p = -o, 3*l - 2*o = -17 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = 2*a**2. Let s(c) = 13*c + 3 - 4*c - 6*c + 13. Calculate s(l(w)).\nAnswer: 6*w**2 + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = 3*p + 345. What is the remainder when k(-45) is divided by 18?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2615 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: Is 4466333 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-4)\/(4\/(-5)))\/1. Let a be v\/(-15) + (-14)\/(-24). Let f = 232\/5 + -46. What is the closest to a in f, -0.2, 3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -21 - -13 - (-3 + (-1 - 7 - -7)) - -40.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = -25*a**2 - a. Let p be o(-1). Suppose -4*c - 2 = 5*z - 14, z = -5*c - 6. List the prime factors of (z + -2)\/((-3)\/p).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 176412 and 1891.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 81, 3, -3.\nAnswer: -3, -1, 3, 81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f\/(f**0*f)*f\/(f**(-2)*f*f))\/(((f**(2\/11)*f*f)\/f)\/f**(-2\/7)) assuming f is positive.\nAnswer: f**(-36\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 2a + -303a746?\nAnswer: -303a717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find q, given that 21\/2*q - 1\/2*q**2 + 11 = 0.\nAnswer: -1, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 160, 333, 506, 679, 852, 1025?\nAnswer: 1198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -14 + 27\/2. What is the closest to -0.1 in h, 3\/7, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = -20 + 6*q**3 + 16*q**2 - 2*q**3 + 13*q - 3*q**3. Let t = -126 + 111. Let b be v(t). Calculate the highest common factor of 40 and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = -y**2. Let b(u) be the first derivative of -8 + 23\/2*u**2 + u. Give b(x(q)).\nAnswer: -23*q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 8 - (-61 - -81 - (1 - 0))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.13 + -0.1262. Let d = w - 0.0037641. Round d to six dps.\nAnswer: 0.000036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9989*t + 10096*t = 0. Solve t = 5*k + 9 + 21, 0 = 4*a + 3*k - 2 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24*d - 1039458 = -18*d. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 19\/4 of a tonne?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 13939 is divided by 6964.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 4430240, 4430263, 4430286, 4430309, 4430332?\nAnswer: 4430355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 16898985?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 h and 1 c when three letters picked without replacement from {h: 14, c: 4}.\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence nvm when three letters picked without replacement from {w: 1, m: 1, k: 2, n: 1, s: 1, v: 2}?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4 + (-1 + -2 - (14 + -14)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 77 - 2?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.5 times 0.69?\nAnswer: 0.345","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = b**3 - 8*b**2 - 5*b - 8. Suppose -4*p = -4*i + 833 - 873, -3*p - 5*i = -46. Calculate the smallest common multiple of y(9) and p.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1232 + 1584 - 40*k - 2857 to x + a*k and give x.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 213195 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: -5*-12.4\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Divide -2267837 by -14.\nAnswer: 2267837\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 2\/44315 - -1639163\/10901490. Find the common denominator of p and -157\/30.\nAnswer: 1230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 12855 + -12948. Let y be 1*1*-113 - -1. Let x = u - y. Is x a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -509*d**2 - 1023*d + 2044*d - 1021*d + 2 to u*d + n*d**2 + q and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = 58*p**2 - p + 5. Let k(x) = 57*x**2 - x + 6. What is -3*k(t) + 4*v(t)?\nAnswer: 61*t**2 - t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert 898.7546 centuries to millennia.\nAnswer: 89.87546","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 2*h**2*n*w - 65*h**2*n + 18764*h*n*w - 73505*h*n - 3*w + 2 with respect to w.\nAnswer: 2*h**2*n + 18764*h*n - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Does 234 divide 363168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v be -1 + (-22)\/(-18) - 112\/504. Suppose 4*g = -d - 2*d - 4, v = 4*g - 4*d + 32. Put g, -0.2, -3, 2 in descending order.\nAnswer: 2, -0.2, -3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of g**2*i**2 - 4109*g**2*i - i**2 + 2*i - 161 wrt g?\nAnswer: 2*g*i**2 - 8218*g*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 0.4  (b) -50  (c) -1\/6  (d) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = 4 + 3 + 36*t + 2. Let k(m) = -9*m - 2. Let b(d) = 2*c(d) + 9*k(d). Let i(v) = 40*v**2 - 14*v - 38*v**2 + 14*v. Determine i(b(q)).\nAnswer: 162*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = -x**3 + 2*x**2 - 2. Let p be l(-2). Let k be (6\/p)\/((-6)\/(-28)). Calculate the highest common factor of 18 and k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) be the third derivative of 0*v**6 - v**2 + 0*v**5 - 1\/3*v**3 + 0*v**4 + 1\/210*v**7 + 0*v + 0. Differentiate a(u) wrt u.\nAnswer: 4*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -10\/9?  (a) 2\/7  (b) -0.2  (c) 0.4  (d) 2\/141\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 13 - 7. Let k be (q\/(-20))\/(12\/(-10)). Suppose -1\/4*m + 1\/4*m**3 + k - 1\/4*m**2 = 0. What is m?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 27, 5, -4, -208, -14, -2, 1 in descending order.\nAnswer: 27, 5, 1, -2, -4, -14, -208","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -50, -54, -60, -68, -78, -90?\nAnswer: -104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 1 and -3432.\nAnswer: -3432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -x - 3*x + 3*x**2 + 5*x + (-2*x**2 + 4*x**2 - x**2)*(5 + 2 - 5) + 3*x**2 + 0*x**2 - 2*x**2 to the form t*x + k + a*x**2 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert 101111010 (base 2) to base 14.\nAnswer: 1d0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 314 - 627\/2. What is the closest to 6\/7 in 0, j, -5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 267*b - 257*b + 90 for b.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -1 - 1112?\nAnswer: -1120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 775\/(-682) + 0\/(-1). Do r and -0.1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 13*q**2 + 10*q**2 + 10*q**2.\nAnswer: 33*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 2081937 and 211.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(312) - (3*(sqrt(312) - (sqrt(312) + (sqrt(312)*1 - sqrt(312) - sqrt(312)))) - sqrt(312)) - sqrt(312))\/sqrt(8))\/(-4*-1*sqrt(3)*3)*6)**2.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 536995?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 24066\/13 + -211082\/117. Suppose 3 = -3*u, -4*u - 5 = l + 46. Let f = l + w. Which is the closest to -1?  (a) -4  (b) -0.12  (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 3622.01 to the nearest 100.\nAnswer: 3600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -10*(200\/5 + -41). Solve -1 + 19\/3*n - u*n**2 - 10\/3*n**3 - 3*n**5 + 11*n**4 = 0.\nAnswer: -1, 1\/3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -133742256 divided by -24?\nAnswer: 5572594","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -23.4095 + 23.4. Let m = w - -1.6095. Which is bigger: 0 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -499, -490, -481, -472, -463?\n\"Answer: 9*q - 508","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k**4 + 262*k**3 - 9732*k**2 - 1806400*k - 21320000 = 0. What is k?\nAnswer: -100, -13, 82","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: ((-353)\/353)\/(2*(-3)\/174)\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n\/n**0)**(1\/66)\/(n\/(n\/((n\/((n\/(n\/n**(1\/14)))\/n)*n)\/n))*n*n**(-1\/2)*n*n) assuming n is positive.\nAnswer: n**(-2039\/462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Convert -13b372 (base 14) to base 8.\nAnswer: -2467650","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 336 + -328. What is the least common multiple of t and 204?\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (29 - -1) + -4 + -2. Suppose -2*q - 2*s = 10 - a, -3*s = q + 1. Let u(n) = -n**2 + 10*n + 12. What is u(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 4 + -1. Let d be 1 - (f - 1 - -1). Put 0, -4, d in ascending order.\nAnswer: -4, d, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine v, given that -2*v**3 - 410*v**2 - 2406*v - 3582 = 0.\nAnswer: -199, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = -q**2 - 4*q + 2. Let b(c) = -2*c - 2. Let g be b(1). Let s be l(g). Solve 6 = u + s*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -1191 - -53384?\nAnswer: 52193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -27633027454154531\/270749520 - 35795473\/2506940. Let m = k - -102061288. Let j = 805\/16 - m. Calculate the common denominator of j and -67\/3.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 5370 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 22 (base 10) to base 13\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = -r**3 + 86*r**2 - 31*r + 3112. What is the hundreds digit of u(76)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 63\/((-12)\/(-4))*(-4)\/(-12)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: (-23 - (-59 - -90)) + 30\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.16 + 0. Let m = -0.06 + n. Let s = 8 - 9. What is the nearest to m in s, 4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 99270, 397100, 893492, 1588446, 2481962, 3574040, 4864680?\n\"Answer: 99281*l**2 - 13*l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + -6*(sqrt(1584) - (sqrt(1584) + -2)) + 2.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = 32*u - 719. Let a be s(13). Suppose 6*n + 535 = 3*n - 2*q, -520 = 3*n - q. Let o = n - a. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 20\/11 - 184\/77. Let o be (-2 - 2)\/(-1)*105\/(-6). Let l = 74 + o. What is the closest to 0.1 in k, l, 2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = -b**3 + 2*b**2 + 2*b + 2. Let z be l(3). Let j(o) = 6*o**3 - 16*o - 13. Let w be j(-1). Put w, z, -42 in descending order.\nAnswer: z, w, -42","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 1181, 1177, 1173?\n\"Answer: -4*t + 1185","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence rww when three letters picked without replacement from {w: 4, p: 3, r: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (5*(-1)\/(-3))\/(45950\/468690).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((u\/u**(-1\/5)*u)\/u)\/u**(4\/7))**(-49) assuming u is positive.\nAnswer: u**(-154\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.3807 and -461.594?\nAnswer: -175.7288358","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 7 and -144?\nAnswer: -1008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*k + 0 + 4 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) = p**3 - 10*p**2 + 9*p + 7. Let b(c) = -c**3 + 4*c**2 + 7*c - 1. Let s be b(5). Let t be y(s). Suppose 5*x + 186 = t*x. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -51609, -51640, -51671, -51702, -51733, -51764?\n\"Answer: -31*k - 51578","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -8 + 13. Let s(w) be the first derivative of -w**5\/60 + 5*w**4\/24 + w**3\/6 - 2*w**2 - 4. Let q(y) be the second derivative of s(y). Calculate q(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = v**3 + v**2 + v. Let u(x) = -6*x**3 - 3*x**2 - 2*x + 1. Let c(q) = 2*h(q) + u(q). What is c(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find z, given that -2*z**2\/5 - 1214676*z\/5 - 184429723122\/5 = 0.\nAnswer: -303669","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-q - q + q)*(-3*q - q + 5*q)*((-7 - 15 - 5)*(1 + 3 - 1) - 3 + 1 + 3) to w*q**2 + g*q + j and give w.\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 1618449 and 7932.\nAnswer: 4279179156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 447664717 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 10572573757 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2210*d + 2188*d. Let y(c) be the second derivative of 1\/2*c**2 - 22*c + d - 1\/2*c**3. Let l(i) = -i**2. What is l(y(h))?\nAnswer: -9*h**2 + 6*h - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) = 30*p**2 - 12. Let r(x) = -12*x**2 + 5. Let v(n) = -44*n + 1809. Let q be v(41). What is q*y(m) + 12*r(m)?\nAnswer: 6*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -952 - -962. Calculate the lowest common multiple of n and 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 108*j - 107*j = 7. Solve -j*f + 17 = 31 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-5 + 3)*(-38)\/4. Suppose -4*z + g = 4*k - 7*z, 2*k = -2*z + 6. List the prime factors of k - (-30 - 8\/(-2)).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -124*l**2 - 224*l**2 + 346*l**2.\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*w - w + 4. Let k = 27 + w. Suppose -3*d + k = -5. Does 11 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -101101000 (base 2) to base 10\nAnswer: -360","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -1065135 divided by 12?\nAnswer: -355045\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 92 smaller than 88?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Does 8 divide 536?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -0.072 + -1.088. Let j = x - 0.3. What is j rounded to one dp?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -5.7 + 1.3. Let o = 90.9 - 86. Let m = i + o. Which is the second biggest value?  (a) -5  (b) m  (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {e: 1, c: 1, s: 4, z: 2, v: 1, n: 3}. What is prob of sequence zsc?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -6.9 - -7. Suppose o + 4 = -0. Let v = o - -6. What is the nearest to -1 in d, v, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 44\/55*(-920)\/152 + (4 - -1)?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hddd when four letters picked without replacement from {n: 4, j: 2, h: 1, d: 3, k: 1}.\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 3971?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:16 PM and 9:19 PM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*k**2 - 6 + 107*k - 2*k**3 - 188*k + 90*k to i*k**3 + n*k**2 + z + t*k and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"}
{"text":"Question: Let t = 128 + -7. Suppose 12 = 41*j - 39*j. Suppose -11 = -j*f + t. What is the smallest common multiple of 8 and f?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = -17*u. Let c(z) = 9481488*z + 1. Calculate c(d(y)).\nAnswer: -161185296*y + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 0, 18, -3 in descending order.\nAnswer: 18, 0, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*l + 111 = 3*m, 3*l + 80 = 2*m + 5. Suppose 0 = j + m - 44. Suppose -j*h = -12*h + 229000. Round h to the nearest one hundred thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5191441.\nAnswer: 5191441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (0\/6)\/4 + 402\/2. Differentiate -n**3 + 97609*n - d + 38*n**2 - 97609*n wrt n.\nAnswer: -3*n**2 + 76*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -20\/161 in -2, 120, -7, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*((-2*sqrt(637))**2 + -3) - (2 + (sqrt(1300) - sqrt(1300)*1)**2*3).\nAnswer: -5092","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4*d**4 + d**3 - d**3 + (1 - 1 - d**2)*(d**2 + 5*d**2 + d**2) + 5 - 5 + 5*d**4.\nAnswer: -6*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Factor -a**2\/7 - 206567*a\/7 - 206566\/7.\nAnswer: -(a + 1)*(a + 206566)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 35674, 285327, 962946, 2282515, 4458018?\n\"Answer: 35664*d**3 - d**2 + 8*d + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {f: 2, g: 4, w: 3, y: 1, o: 3, d: 6}. Give prob of picking 1 w, 1 f, and 1 g.\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is -2173 not equal to -2191?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 1 + (-441)\/3 - 2. What is the units digit of 2\/(-6) + q\/(-12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 29389?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = -143*a**2 + 66*a - 66. Let y(u) be the second derivative of -11*u**4\/12 + 5*u**3\/6 - 5*u**2\/2 - 1585*u. Give 5*k(j) - 66*y(j).\nAnswer: 11*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 70*n + 1802348 - 70*n - 1802458 + 3*n**3.\nAnswer: 3*n**3 - 110","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Add 0.3 and -177.5066.\nAnswer: -177.2066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -1 - 17036276?\nAnswer: -17036277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round 15380 to the nearest one thousand.\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand 8*j + 3*j - 18*j + 1 + (1 + 2 - 4)*(-j - 4*j + 3*j) + 1 - 1 - j.\nAnswer: -6*j + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 846939713?\nAnswer: 2687, 315199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is (1\/((-2)\/(-4)))\/(-17 + 11 + 7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*q = -2*p + 2, -2 = 2*q - 4*p + 8 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -36 + 36. Suppose 6*w - 3*w + y - 4118 = u, 0 = 2*w + 2*y - 2744. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -870.33228 to one decimal place.\nAnswer: -870.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-4)\/(-5))\/(22\/55). Suppose -5*q + 4*o + 7 = 0, u = 3*o - 4. Solve 0 = -q*w + 2*r - 11, r = w - 1 + 5 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 470 minutes after 10:31 PM?\nAnswer: 6:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 10912 and 161984.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*c**5 + 3*c**5 - 2*c**5 + (-4*c**2 + 3*c**2 - 2*c**2)*(0*c**3 - c**3 - 2*c**3) + c**5 + c**5 - 4*c**5 + 2*c - 2*c - 2*c**5.\nAnswer: 6*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = -219*x**2 + 653*x + 22. Calculate j(3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -1 - 3213?\nAnswer: -3214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-5 - 44\/(-8))*4. Factor -2\/5*j**h + 0*j + 2\/5.\nAnswer: -2*(j - 1)*(j + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -34 - -37. Solve m - v*y - 11 = 2*y, m - 3*y - 5 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z**3 - 495*z**2 + 17520*z - 33020 = 0. Calculate z.\nAnswer: -127, 2, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 1\/(9\/6) + 7\/21. Suppose 0 = -4*j - 5*t + 89, 6*j - 69 = 2*j - t. Suppose j = f + c. Is 8 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -33*k + 47 + 52. Let g(c) = c. Let z(i) = 4*i**2 - 10*i - 160 + 160. Give k*z(y) + 30*g(y).\nAnswer: 12*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) be the first derivative of -4*g - 3*g**5 - 3*g**5 + 14*g**5 - 10*g**5 - 13. What is the first derivative of c(s) wrt s?\nAnswer: -40*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 v and 1 e when two letters picked without replacement from {e: 1, k: 7, v: 6, h: 4}?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (7 - 4 + 9)*(1 + 3 - 6)*(-2*f**3 - f**3 - 5*f**3).\nAnswer: 192*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -3?  (a) -1\/5  (b) 4\/7  (c) 0.2  (d) 0.03  (e) -267\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = -8*u**2. Let g(h) be the first derivative of 0*h**2 + 2\/3*h**3 - 67 + 0*h. What is j(g(l))?\nAnswer: -32*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 3\/8 of a kilometer?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 270 - 150. Suppose 0 = -5*h + 7*h - w. Let t be (h\/(-36))\/((-2)\/18). Solve -m - t = 4*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) be the second derivative of -n**5\/80 - 3*n**4\/32 + 7*n**2 - 15*n. Let g(a) be the first derivative of r(a). Factor g(s).\nAnswer: -3*s*(s + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-8)\/(-20))\/(13\/(-65))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.02 + -0.32. Let h = 2.92 + 0.08. What is the second biggest value in h, x, -5\/2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 23.3 - 16. Let a = -7 + k. What is the nearest to a in -2\/7, 3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = z + 13. Let r(j) = -3*j - 8. Let l be r(-7). Let n be 0\/2*1 - (l - 13). Calculate p(n).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor s**2\/4 - 5377*s\/2 - 53825087\/4.\nAnswer: (s - 14473)*(s + 3719)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o\/(o*o*o**(-6)))\/o*o*o*o*o**(-4\/9)*o)**(1\/21)*((o*o*(o*(o\/(o**(-1\/5)\/o))\/o)\/o)\/o**(-5))**(-4\/9) assuming o is positive.\nAnswer: o**(-3104\/945)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 1508489 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 76169 and 118.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 4 - -3. Let x(o) = o**2 - 5*o - 1. Is x(z) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 6 and ((-216)\/42)\/((-2)\/14).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 50b + 3?\nAnswer: 511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*q + 4*p - 44 = -3*q, p = q - 16 for q.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -330 = -5*x - 130. Let p = -19 + x. Does 21 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 20\/15*(-6)\/4. Let y = 4 + r. Suppose 4*z + 6 = y. Let c(m) = m**2. Determine c(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 20611501 (base 8) in base 6?\nAnswer: 234115041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 - (24 + -1 + (-50 - -39))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 1.31 bigger than 0.6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -19*l = -44*l + 28*l - 3. Let r = 12 - 9. What is the nearest to 0.1 in r, l, 5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) be the first derivative of -4 + 2*r**2 + 2 - 2*r - 3 + 6. Find the first derivative of h(f) wrt f.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (9\/2)\/(66\/(-176)). Let s be (-190)\/x + (-7)\/(-42). What is the remainder when (-68)\/s + 4 + (-186)\/(-8) is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0*-1724.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = -h**2 - 29*h - 17. Let k be ((-12)\/9)\/(2\/12). What is the units digit of y(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.9?  (a) -4  (b) -0.4  (c) -172\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 18709?\nAnswer: 53, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 32 + -29. Calculate the remainder when 0 + (-7)\/21 - (-37)\/s is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 104130 (base 5) to base 11\nAnswer: 2832","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express -132*g**2 + 3 - g - 4*g**3 - 2 + 362*g**2 + 30*g**3 - 222*g**2 in the form l*g + n + v*g**2 + d*g**3 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -3975534, -3975466, -3975398, -3975330, -3975262, -3975194?\nAnswer: -3975126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2625076 is divided by 1312146?\nAnswer: 784","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*x + 112053 - 112053.\nAnswer: -4*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 2234 and 10.\nAnswer: 11170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*c = 4*i + 31429 - 186153, -5*i + 5*c + 193355 = 0. What is the thousands digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((x*x**0)**28)**(-3\/13))**(5\/8) assuming x is positive.\nAnswer: x**(-105\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.8 + -19.8. Let x = -20.8 - u. Let n = x - 0.2. Which is the second biggest value?  (a) 4\/7  (b) -3  (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -711 - 409 = 83*u - 114*u - 35 for u.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t - 7 = 3. Let u = t - 6. Solve -3*d = -d + 4*o + 12, 0 = u*d - 5*o - 15 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -5.02 - -5. Let z = h - -0.12. What is the second smallest value in -1, 2, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 72 a factor of 284544?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -6 + 2. Let n(g) = -31*g + 34. Is n(m) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2831 * -54722\nAnswer: 154917982","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-2 + 0 - -3)\/(-9). Let k = -3 - -3.2. Which is the second biggest value?  (a) -3  (b) k  (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -21311131 (base 5) in base 6?\nAnswer: -3522441","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -3, 3\/4, -1, 1\/4, 17.982?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(132)\/(sqrt(121)\/sqrt(1584) + sqrt(11) - sqrt(11)) - (-3*(sqrt(363) + -2) - 5*-1*sqrt(363)))**2.\nAnswer: -24*sqrt(3) + 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 189 at least as big as 189?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = -70*j**2. Let w(b) = 6*b + 5. Let x(h) = 7*h + 6. Let a(o) = -6*w(o) + 5*x(o). Calculate a(s(k)).\nAnswer: 70*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 103883 and 131?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 341 (base 12) in base 2?\nAnswer: 111100001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 755 from -15.\nAnswer: -770","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -45, -265, -481, -693, -901, -1105, -1305?\n\"Answer: 2*v**2 - 226*v + 179","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) be the first derivative of -3*x**6\/8 + 21*x**5\/20 - 15*x**4\/16 + x**3\/4 - 67. Solve d(y) = 0 for y.\nAnswer: 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 1894a - -50?\nAnswer: 1899a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in seventy-four thirds of a week?\nAnswer: 4144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide 237634790 by -2.\nAnswer: -118817395","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2*r**5 - 236*r**3 - 71*r?\nAnswer: -40*r**3 - 1416*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13 = -8*t + 13. Suppose t = 161*h - 164*h. Solve h = -3*z - z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -327297*u**4 + 3*u**3 + 2*u - 8072 wrt u?\nAnswer: -3927564*u**2 + 18*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zn when two letters picked without replacement from {q: 2, p: 1, a: 5, z: 1, n: 1}.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-80 + 86)\/(3\/(-7)). Let p be (-1 - x\/6)\/(396\/594). Solve 0 = -b - 3*d - 2*d - 25, -p*d - 23 = 3*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 22*f*i**3*q + f*i**2*q**2 + 2*f*i*q - 4*i**3*q**2 + 2*i**3*q - 28*i**2*q**2 - 2*q**2 wrt f.\nAnswer: 22*i**3*q + i**2*q**2 + 2*i*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-4)\/(-10))\/(2\/80*-4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-9 + 3 - 18)*(5*f - 3*f - 4*f).\nAnswer: 48*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is (-42)\/(-182)*169\/260*(-16)\/18?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2386131 at most 21475190\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 2266 - 2?\nAnswer: 2264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {v: 3, d: 2, w: 1, m: 1, p: 3}. Give prob of sequence dmp.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of x**4 - 112*x**3 + 195529*x**2 - 155693067?\nAnswer: 4*x**3 - 336*x**2 + 391058*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 22 a factor of 827291?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = d**2 - 4*d - 2. Let w be j(5). Let c be -6*(-15)\/9 - 2. Let r = c + -3. Solve 0*n = w*n - 5*h + 6, -2*n - 9 = -r*h for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (-6)\/(-6)*-1*-65?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1604591 to the nearest integer?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from llcwccnxpcxwxpn.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -775, -6198, -20921, -49594, -96867, -167390, -265813?\n\"Answer: -775*q**3 + 2*q - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = -z**3 + 10*z**2 - 8*z - 3. Let q be s(9). Let p = q + -3. What is the third derivative of -7*c**2 - 3*c**3 - 2*c**2 - p*c**2 + 0*c**2 wrt c?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y + 0*y - 10 = -3*h, 2*h + 2*y + 4 = 0. What is the third derivative of 2*n**h + n**5 + 0*n**5 - 2*n**5 - n**5 wrt n?\nAnswer: -120*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 6, -3 in ascending order.\nAnswer: -3, -2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Are 1 and 10\/7162537 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Work out -200 * 0.09.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = 3*h**2 + 1031*h + 38474. What is y(-301)?\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence gx when two letters picked without replacement from emgrrbx.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = 2*p**2 - 1866*p - 3730. Let a be s(-2). Suppose -5*y - 5*g = 10, -2*y - 2*g = g + 8. Solve a = 5*h + 5*d, -y*h - 1 = 3*d - 5 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 16 - 12. Solve a = -5*r - 11 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: (23 - 19 - -19) + -27\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d = -5*m, -4*d - 406*m = -407*m + 16. Let c(s) = -6*s - 36. Determine c(d).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 242 - 64. List the prime factors of m.\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be -1*-4*(2 + (-5)\/4). Let s be (-20)\/8 + 1\/2. Let v = s - 2. What is the second smallest value in o, v, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -21 + -2?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:05 AM and 5:32 AM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*u - 17 = -37. Let c = 13 - u. List the prime factors of c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2558003 divided by 1.\nAnswer: 2558003","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -425 (base 12) in base 16?\nAnswer: -25d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 33423 or 171?\nAnswer: 33423","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from tiiiiqlitigiiaiait. What is prob of sequence ta?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 29\/738990 and -39\/93520?\nAnswer: 987290640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 3808, 7537, 11276, 15031, 18808?\n\"Answer: i**3 - i**2 + 3725*i + 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 5814245?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.06 less than -6150262107?\nAnswer: -6150262107.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = -x**3 - 10*x**2 - 10*x - 12. Let m be d(-9). Suppose 26 + 14 = 4*l. Calculate the remainder when l is divided by 3 + -3*1\/m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) be the third derivative of 0 + 1\/20*h**4 + 4*h**2 - 1\/150*h**5 + 0*h**3 + 0*h. Factor r(z).\nAnswer: -2*z*(z - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -14, -141, -484, -1151, -2250, -3889, -6176, -9219?\nAnswer: -13126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = -49*o**3 + 23*o**2 + 5. Let h(p) = 171*p**3 - 81*p**2 - 18. Let a(s) = 5*h(s) + 18*k(s). What is the third derivative of a(g) wrt g?\nAnswer: -162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 + (-2 - (-9 - -1))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-23*r**3 - 146*r**3 + 40*r**3)*(1 + 0 - 4) to the form a*r + q*r**3 + j + b*r**2 and give q.\nAnswer: 387","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g + 5*t + 3 - 4 = 0, 4*t = 5*g - 14. Let x = 0 + 0. Suppose 4*k - 2*k - 4 = x. Solve -5*n = -k*z - g*z + 30, -20 = -2*z + 5*n for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 + 12 = 5*s. Suppose -1 - 8 = -s*h. Suppose 0 = h*y - 18 + 6, -y = -3*o + 17. Solve 0*j + o = 5*c - 2*j, -3 = -c + 2*j for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-35)\/(-49) - 4\/(924\/291).\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 1 + (248\/2)\/(4\/16). Let o = 508 - m. Let j(i) = i**2 - 11*i + 6. Give j(o).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = -c**2 - 7*c - 2*c + 4*c. Let b be z(-5). Suppose 0 = 4*i - b - 56. What is the lowest common multiple of 2 and i?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -150, -172, -194, -216, -238, -260?\n\"Answer: -22*x - 128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 58, 50, 42?\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) be the third derivative of 1\/3*k**3 + 0*k + 0 - 1\/60*k**5 + 29*k**2 - 1\/4*k**4 - 1\/15*k**6. What are the prime factors of r(-3)?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*p + 3*p + 3*p)*(-p**2 + 0*p**2 - p + 5*p**2) + (67 - 67 + 32*p**2)*(4*p + p - 3*p).\nAnswer: 72*p**3 - 2*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 58*b = 624 - 276 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -0.1 and -208303.6?\nAnswer: 208303.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 211315869*p**4*q**3 + 2*p**4*q + 22*p**2*q**3 - 2817*p**2*q + q**3 + 8 wrt p.\nAnswer: 5071580856*p*q**3 + 48*p*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 195.2 + -195.5. Put v, -2, 0, 2\/23, -43 in increasing order.\nAnswer: -43, -2, v, 0, 2\/23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 n and 1 q when two letters picked without replacement from {j: 1, m: 2, n: 4, q: 8}.\nAnswer: 32\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.12 + 0.52. Let o = -193\/3 - -65. Which is the closest to 1?  (a) o  (b) -0.3  (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 94, 87, 68, 31, -30, -121, -248, -417?\n\"Answer: -r**3 + 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 325 and 822055.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t + 3 + 1 = 0. Suppose x - 35 = t. Calculate the remainder when (7\/(-7) + 0)*x*-1 is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -43.8172 - -44.7. Let v = s + -0.769. Round v to 3 decimal places.\nAnswer: 0.114","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*u - 3*u + 0*u + (0*u + 3*u - 4*u)*(5 + 3 + 0).\nAnswer: -9*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 9149*l + 5234.\nAnswer: 9149","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = -26*k + 12. Let g(q) = 1. Suppose 58*a - 3 = 55*a. What is a*y(b) - 12*g(b)?\nAnswer: -26*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 10667142 and 92448564.\nAnswer: 277345692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-1 - 0)\/((-1)\/19). Suppose 0 = -4*j + m + 5. Let a be j\/21 - 64\/126. What is the second smallest value in 2, -0.5, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*i = -6 - 4. Suppose i*z = 5*r + 3*z - 6, -3*r = 4*z - 7. Differentiate r - 3*s + 3*s - s**3 with respect to s.\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = -k**3 + 2*k**2 + 6*k - 3. Let c be j(-2). What is the units digit of 18852\/36 - (c - (-4)\/(-3))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-4 - -3) + -2 + -1 + 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 586*l**3 - 226*l**2.\nAnswer: 3516","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 82 = 4*m + p, -8 = 4*p - 0. List the prime factors of m.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 2.8 + -3. What is the second biggest value in 2\/29, 11\/5, q?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = -17*z - 27. Suppose -2*b + 14 = -4*h - b, 23 = -5*h + 4*b. Let f be y(h). Is 23 less than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w = -3*m + 5*w - 102, -3*m - 116 = 4*w. Let z = m - -48. What are the prime factors of z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 88 divided by -4790.\nAnswer: -44\/2395","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.47103336 to 3 decimal places.\nAnswer: -0.471","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 32179 + -21109. What is j rounded to the nearest one thousand?\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = -111*y + 154. Let m be t(-30). Suppose 0 = -3*x - 5*p + 2120, -5*x = -0*x - 4*p - m. Is 73 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 3 - ((-70)\/14)\/((-5)\/1). Find the third derivative of -15*i**2 - i**5 + o - i**5 + 52*i**2 - 22*i**4 + 23*i**4 wrt i.\nAnswer: -120*i**2 + 24*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -3, 0, 118, 5?\nAnswer: 118","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -13229348 divided by -6614674.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -29 + 25. Let x be (-4)\/14 - 297\/(-84). Let p = x - 4. Which is the biggest value?  (a) -0.4  (b) f  (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 c, 1 k, and 1 v when three letters picked without replacement from {c: 1, v: 6, m: 3, k: 3, l: 2, r: 5}?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3048561?\nAnswer: 3, 47, 7207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 484159*d*l**2 - 3041*l**2 + l - 10 wrt d.\nAnswer: 484159*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -7645 + 68881\/9. Suppose -5*f - 20 = 0, -484 = 4*o - 3*f - 0*f. Calculate the common denominator of b and 2\/(-5) - o\/(-15).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -40 (base 14) to base 9\nAnswer: -62","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) be the third derivative of 1\/12*x**4 + 0*x + 0*x**3 + 0 + x**2. Let v(h) = -4*h + 3*h**2 + 4*h. Give v(s(k)).\nAnswer: 12*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 4351 or 4348?\nAnswer: 4348","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = -z**2 + 5*z + 11. Suppose 4*t - 2*g - 23 = 23, -g + 17 = 2*t. Let u be l(t). What is the nearest to 3 in 0.2, u, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*k**3 - 100124*k**2 + 600600*k.\nAnswer: 4*k*(k - 25025)*(k - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 98230 and 2527030?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Work out -50439 + -2.8732.\nAnswer: -50441.8732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 3\/(2 + 4\/(-8)). Find x such that -2*x**2 - 9*x**3 - 3*x**4 - 8*x**v + 8*x**2 - 4*x**2 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p + 5*r + 27 = 0, 3*p = 4*r + r + 28. Let v be 680\/120 - (0 + p\/(-3)). Put 0, v, 2, 1 in decreasing order.\nAnswer: v, 2, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-30)\/18*3 - (7 + -9).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 152.4518 millilitres?\nAnswer: 0.1524518","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:02 PM and 11:09 PM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -23805*a**2 - 620*a + 12 wrt a?\nAnswer: -47610","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q = -3*r - 433, 4*q = -4*r - 0*r - 604. List the prime factors of 4\/3*r\/(-2).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h = -43*h + 7*h + 190. Put 1\/3, -3, h, -11.6 in increasing order.\nAnswer: -11.6, -3, 1\/3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 2 and ((-12)\/10*2)\/((-10)\/25)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 3 + -3. Suppose -62*r + 60*r = 0. Solve 2*s + r*z - 2*z - 6 = p, 4*z = 3*s - 9 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from oooooomohoooobal. Give prob of picking 1 h and 1 a.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 26\/2 - 4174965\/321822 and -97\/14.\nAnswer: 13174","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 2208 and 276?\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = -h + 14. Let q be i(17). Let g be (q - -4 - 0)*3. Suppose g*w = -0*w + 42. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 9 - 9. Suppose -15 = -5*q, -2*q = -b - 4 - r. Suppose 0 = -b*l + l - k + 751, -2*k = -5*l + 3741. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 = o + 4*q, q - 13 = -3*o - o. Suppose 0 = 5*l - 5*n, -3*l + 5*n = o + 2. Solve 0 = -4*r + l*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -10*l - 5*l - 9*l + 24*l + 14*l**3.\nAnswer: 14*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*j = -w + 4, w + 3*w + 4*j = 56. Let h(b) = b**2 - 6*b**2 + 12 - w. Let p(y) = y**2. Determine h(p(x)).\nAnswer: -5*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -2746525.821 rounded to the nearest one hundred?\nAnswer: -2746500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 27540 is divided by 6797?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*g = -10*s + 15*s - 3, 5*g - 4*s - 8 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 2 - 2. Suppose l + v*l = 2. Calculate the greatest common factor of 18 and l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2692546353.\nAnswer: 3, 7, 67, 70877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from waaktkrxkxktwwwaawat. Give prob of picking 1 r and 1 a.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6822 is divided by 186?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 266 minutes after 2:19 PM?\nAnswer: 6:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 2328747579 to the power of 1\/2, to the nearest integer?\nAnswer: 48257","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 56053165 and 2040?\nAnswer: 1345275960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17 = 3*m + 125. Let k = -6 - m. Calculate the remainder when k is divided by 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + (-5*(sqrt(1500) + sqrt(60)))\/sqrt(12))**2 + (sqrt(5) - sqrt(20)\/sqrt(36) - sqrt(240)\/sqrt(3))**2*-3.\nAnswer: 300*sqrt(5) + 13075\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 158 and 225308?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 2114\/14 + 2\/2*-3. Let y = 146 - a. Sort y, 0.4, 0, -0.2.\nAnswer: y, -0.2, 0, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -3 - -7. What is the second derivative of 2*l**4 + 3*l**r - 2*l**4 - 4*l + 2*l wrt l?\nAnswer: 36*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 485 and 30.\nAnswer: 2910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n + 296286 = -5*s, 23*n = 22*n - 3*s + 296294. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 70209*l**3 - 1490*l**2 - 70215*l**3 + 747*l**2 + 743*l**2.\nAnswer: -6*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 0 * 71907273\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 108951 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 421600?\nAnswer: 2, 5, 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 222 and 259.\nAnswer: 1554","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = r - 5. Let o(n) = n**3 - 3*n**2 - 5*n + 12. Let k be o(5). Let i = -35 + k. Let u be (-6)\/27 + i\/9. Give f(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 100*r - 516*r + 81*r + 125*r + 131*r.\nAnswer: -79*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 3787.09009 + -3787. Let x = t - 0.09. What is x rounded to 5 decimal places?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 205?\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.16 - -1.56. Let h = m + 0.6. What is the third smallest value in 4, h, -0.4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6569084?\nAnswer: 2, 563, 2917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 31 and 635624.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 188*(4 - (1*-2)\/((-312)\/702)).\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*((sqrt(144) + sqrt(144) + (sqrt(144) + 2*sqrt(144) - sqrt(144)))\/sqrt(9))\/sqrt(8).\nAnswer: -20*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t - 3*n + 108 = 0, 303 = -5*t - 4*n + 79. Let c = 50 + t. Suppose 96 = c*g - 0*g. Is g a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*v = k + 3, 2*k = 4*k - 4*v + 24. Is 1\/4*-2 - 37845\/k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*o = 3*b + 10, 2*o - 6*o - 10 = 2*b. Suppose -s = 5*d + 1 - 39, b*s = d + 8. Let m = -3639 + 3645. What is the least common multiple of d and m?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 89458 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:01 AM and 2:29 PM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -120 - -123. What is the third biggest value in u, 6, 0.16, 2\/7, 2\/9?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.64 + 1.68. Let j = 562 + -562.32. Let y = j + s. Which is the third smallest value?  (a) -2  (b) y  (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 19 is divided by 0\/6 + 0 + 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = b**2 - 5*b + 2. Let n be r(6). Calculate the greatest common factor of 4 and n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 - 5*y + 4 + y - 1 + 1 + (-5 + 5 + 2)*(-4*y + y + y) - 2*y + 0 + 0 + 3 - 3 + 3*y + 0*y - y - y)*(71*y**2 - 39*y**4 - 71*y**2).\nAnswer: 351*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -11 + 8. Let y(p) = p**2 - 9*p + 9. Let b be (14\/(-4))\/(4\/(-8)). Let i be y(b). Sort i, s, -2.\nAnswer: i, s, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c = 8 - 0. Suppose -19 + 27 = c*d. Find i such that 1\/4 - 1\/2*i + 1\/4*i**d = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3108 a factor of 2092109013?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 394591 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 77*m + 73*m - 154*m + 79 + 109 for m.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((v**(-1\/5)\/v)\/v**(-3\/10))**(-3\/28))**(-32) assuming v is positive.\nAnswer: v**(-108\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*u - 4*n + 36, 2*u + 5*n = 23 + 7. Let b be -2*1 - (-80)\/10. Suppose 3*w = b + 6. Put -1, w, u in ascending order.\nAnswer: -1, w, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 32124488863 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1\/((-1)\/((-192)\/(-12))).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/5 in -2\/15, -107, -17?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2125*g + 28853 + 51897 = 0 for g.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n - 3*u = -786, 2*u - 1310 = -14*n + 9*n. Let l = 262 - n. Factor 2\/5*b**3 - 2\/5*b + 0*b**2 + l.\nAnswer: 2*b*(b - 1)*(b + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = 33*f - 3. Suppose 80*y + 4 = 82*y. Suppose 0 = -y*k + 3*k - 33. What is the remainder when q(4) is divided by k?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together 43 and -14.160069.\nAnswer: 28.839931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/5 in -2, -2.75, -4, 0.07, 3\/2?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0.04 + -0.04. Let h = 292 - 281. Put z, 3, h, -4 in decreasing order.\nAnswer: h, 3, z, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 10459 times -587\nAnswer: -6139433","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 22, -16, -116, -308, -622, -1088?\n\"Answer: -5*m**3 - m**2 + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 28279, 113089, 254427, 452293, 706687, 1017609?\n\"Answer: 28264*d**2 + 18*d - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q = 8*q - 18. Suppose 2*v + 0*v + 3*a - 9 = 0, 5*v - 54 = 3*a. Sort 1, q, -2, v.\nAnswer: -2, 1, q, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 34684 and 7176?\nAnswer: 208104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = c**2 + 8*c + 13. Let h be j(-12). Let p = h - 185\/3. Sort -0.4, p, 0 in increasing order.\nAnswer: p, -0.4, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (6\/4)\/((-180)\/2760) - 18?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = 2549*g + 1496261. Give w(-587).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 36682989 to the nearest integer?\nAnswer: 332","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 230\/170 + -1*1. Let i = u - 8\/119. Let o = 3 + -3.2. What is the closest to i in 1\/3, -5, o?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = -v**2 + 17*v - 22. Let k be r(12). Suppose -6*m - 4*g + 62 = -m, 3*m + 2*g - k = 0. What is the remainder when 18 is divided by m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -15?  (a) -6\/11  (b) -82266  (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1.3*25.2231.\nAnswer: -32.79003","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 366, 740, 1118, 1500, 1886, 2276, 2670?\nAnswer: 3068","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1809, 3612, 5415, 7218, 9021, 10824?\nAnswer: 12627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f = 3*f - 756. Suppose 4*n - 2*n = f. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = -30*v + 13. Let a(g) = 14*g - 6. Let n(j) = -13*a(j) - 6*m(j). Let p(u) = 58*u - 1. Calculate p(n(h)).\nAnswer: -116*h - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 - b + 4)*(-35 - 30 + 29).\nAnswer: 36*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = -4*n + 4. What is z(3)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) be the second derivative of q**3\/3 + 7*q**2\/2 - 44*q. Suppose 15 + 15 = 5*g. Calculate the remainder when s(2) is divided by g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 299 and 39455.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-726 - -782) + (0 - -24) + -22.\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*q + 8*q = q. Sort -19, 2, 1, q in increasing order.\nAnswer: -19, q, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 19 + -33 + (-30 - -43) + (3 - 97)?\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (66\/(-15))\/((-1)\/5). Suppose -h = -3*m + m. What is the smallest common multiple of m and 9 + 1 + 0\/1?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*t = -5*t - 41923. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 51430 is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g = l - 96, -4*l + 235 = 5*g + 68. Let p = g - 8. What is the remainder when p is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 9 - 5\/((-15)\/(-6)). Suppose d - 32 = -5*i. Suppose -3*l = -0*l - i*y - 85, -5*l + y + 127 = 0. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1092\/(-39)*(-2 - 280\/(-128))?\nAnswer: -21\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -1309, -2821, -4117, -5191, -6037, -6649?\n\"Answer: u**3 + 102*u**2 - 1825*u + 413","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2, 80, 242, 484, 806, 1208, 1690?\nAnswer: 2252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-7)\/(-35) + 1048\/10. Calculate the highest common divisor of 371 and p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:25 AM and 10:29 PM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 59, 101, 135, 161, 179?\nAnswer: 189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 122*o + 118*o - 1755 = 45*o for o.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 1959*d*o**3 + 3*d*o**2 + 12*d*o - 3*d + 5*o**3 + 5 wrt o?\nAnswer: 11754*d + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 210*z + 519 - 213 = -294*z - 198 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = -60*u + 28. Let h be z(-9). Calculate the greatest common factor of 71 and h.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 11561 divided by 16\nAnswer: 11561\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -273 + 313. Let b(s) = 4*s - 158. Let h be b(o). Solve h = 4*i - 2*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = -608*y**2 - 112*y - 112. Let n(d) = 27*d**2 + 5*d + 5. Give 112*n(m) + 5*o(m).\nAnswer: -16*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 330 or -65483?\nAnswer: -65483","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) be the second derivative of g**4 - 25*g**2\/2 - 26*g. Differentiate t(o) with respect to o.\nAnswer: 24*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 13 - 6. Let i be -1*((-6)\/3 - h). Let c be (-9)\/3 + i + -3. What is the greatest common factor of c and 27?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 130196.\nAnswer: 2, 11, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Does 10 divide (-3)\/(-2) + 9 + 357\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1176 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = -2*a**3 + 3*a - 2. Let g be m(2). Let b be (-1)\/((-1)\/(-4) + 7\/g). Let p be 2*b\/(2 - -2 - 2). Solve 4*t + 3*r + 4 = 2*t, p*t = 3*r + 9 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 807\/(15\/4*28\/70) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = r**2 - 6*r + 14. Let s be x(3). Suppose s*v + 3*v = 448. Let l = v + -53. Calculate the highest common factor of l and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 96486 by -7422.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -67\/20 and -113\/1428?\nAnswer: 7140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 8751185.\nAnswer: 5, 29, 60353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 67123 and 57061.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.102 + -14.102. Let q = 33 - 65\/2. Which is the second smallest value?  (a) -0.5  (b) l  (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 35\/12, -0.0345, -2, -4\/5?\nAnswer: -0.0345","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Divide -423 by 141.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) be the second derivative of o**5\/30 + 26*o**3\/3 + 47*o + 2. Let x(g) be the second derivative of w(g). Let j(h) = 5*h. Give x(j(y)).\nAnswer: 20*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) be the first derivative of 3*m**4\/8 - m**3 - 9*m**2\/4 - 887. Let x(a) = 0. Calculate a.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -22758128, -45516246, -68274364, -91032482?\nAnswer: -113790600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.05276701 times 0.6?\nAnswer: 0.031660206","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -77954*r**2 + 77954*r**2 + 3*r**3.\nAnswer: 3*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 404632.2 months?\nAnswer: 33719.35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 973.27 micrograms?\nAnswer: 973270","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 770 and 10010?\nAnswer: 10010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = s**2 + 2*s + 2. Let r be x(-3). What is the second derivative of 2*t**3 - r + 5 + 3*t wrt t?\nAnswer: 12*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 - (9 + (-4 - -3) - 2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-2)\/6*(-19 - -10). Suppose -y*r = -5*j - 65, 3*j + 28 = -5*r + 91. Does 15 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1397 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*z - 2*z - 352 = 0. What is the remainder when 175 is divided by z?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find l such that 28*l**3\/3 - 104*l**2 + 20*l\/3 + 88 = 0.\nAnswer: -6\/7, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -16, 29, 164, 437, 896?\nAnswer: 1589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -q**5\/6 - 4711*q**4\/3 + 9424*q**3\/3 = 0 for q.\nAnswer: -9424, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 5*(1068\/90 + -12)*(-252)\/(-6)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -35834190 divided by -1470\nAnswer: 24377","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3\/(13*3*5\/(-15)).\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10384 = -550*f + 1166 for f.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 8220 and 14796?\nAnswer: 73980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 112071 and 279.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -0.04, 2, 0.2, 8?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 1, -89, -5?\nAnswer: -89","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:29 AM and 9:53 AM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = l**3 - 13*l**2 - 4*l + 70. Let f be m(13). Let u(t) = 13*t**2 + t + 4. Calculate the remainder when u(3) is divided by -2*(-2)\/8*0 + f.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (275\/(-8250))\/(26\/(-19500))?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round 1191760000 to the nearest 1000000.\nAnswer: 1192000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -38 - -45. Let r(k) = k**3 - 4*k**2 - 6*k - 5. List the prime factors of r(h).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = 26*v**3 - 16*v**2 + 56*v - 16. Let d be (-72)\/(-96)*1*-4. Let c(b) = 5*b**3 - 3*b**2 + 11*b - 3. Determine d*f(z) + 16*c(z).\nAnswer: 2*z**3 + 8*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 3?  (a) -3  (b) 1\/11  (c) 5  (d) -3\/7  (e) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 23\/30 + 207\/(-345)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 16335059 to the nearest integer?\nAnswer: 254","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 6083 minus -0.2?\nAnswer: 6083.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Factor 172*b**3 - 11697*b**2\/2 - 41263*b + 120.\nAnswer: (b - 40)*(b + 6)*(344*b - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((7 - 1 - 3)*(3*b + 0 + 0) + 4*b - b - b)*(3*b**4 + b**4 - 7*b**4).\nAnswer: -33*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = -n**3 + 22*n**2 - 20*n - 19. Let y be l(21). Is ((-6052)\/(-8) - 4) + (-3)\/y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 5  (b) 201.8  (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 6848\/7 or 978?\nAnswer: 6848\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -1163.2 - 4?\nAnswer: -1167.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 217441*n + 217447*n - 434886*n.\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 48 and 10611936?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 1 - 8d?\nAnswer: -8c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = o**2 + 47*o - 199. Let u be a(-51). Suppose -3*f = -4 - 5. Solve -4*w + u*l = -35, -w - 11 = -5*w - f*l for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q = -4*i - 10, -4*q - 7*i + 5*i = 14. What is the common denominator of 25\/600*(-111)\/q and (3\/6)\/((-16)\/30)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 67.27407 rounded to 1 dp?\nAnswer: 67.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*o + 3 = 3*g, 4 - 19 = -3*g for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-3 - -12) + 9 + 0 - 7.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 152*o = 155*o - 3 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -26055 divided by -2895?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b + 25 = -3*g, 2*g = -3*g - 5*b - 75. List the prime factors of 2\/g + (-19020)\/(-66).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = 3*x**2 - 59*x + 18. Give q(14).\nAnswer: -220","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2 - -1) + -24 + 17.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (33 + -29)\/(4\/8683)?\nAnswer: 19, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-307 + 18 - 170)*(8*s - 6*s - 4 - s).\nAnswer: -459*s + 1836","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 6\/4 + 3 + 15\/(-6). Suppose s*a = 247 - 97. What is the remainder when a is divided by 20?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 19 - 19 - 7*x - 7*x**2 to the form y*x + k + o*x**2 and give y.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 104 and 12671243.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 25.2 + -25. Do -0.21 and k have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -z**5 + 2*z**2 + z**2 + 3*z**2 - 2*z**5 + z**4 - 4*z**2 - 6 wrt z?\nAnswer: -180*z**2 + 24*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v - 47 = 2*c, -65 + 27 = 2*c + 2*v. Let s be (-4)\/c*-3*182\/(-546). Factor -6\/11*i - 4\/11 + s*i**3 + 0*i**2.\nAnswer: 2*(i - 2)*(i + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7970 + v**2 + 23323 - 3*v**2.\nAnswer: -2*v**2 + 15353","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Product of -25.7 and 19.\nAnswer: -488.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 115*u - 1 + 4 + 90*u - 4 - 152*u - 526*u.\nAnswer: -473*u - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -20 in -1\/3, -1\/8, 1\/5, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2 - -3)*(-6)\/(-2 + -1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 4*v**4 + 124*v + 8236.\nAnswer: 16*v**3 + 124","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = -b. Let n(p) = -p + 1. Suppose 3*h + 3 = -3. Let t be ((-1)\/h)\/((-2)\/(-4)). Let u(v) = -2*v**2 - v + 1. Let x(w) = t*n(w) - u(w). Determine g(x(i)).\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -144 = -3*v + i, 5*v + 17*i - 240 = 15*i. Solve -20*c = -32*c + v for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = -14*z - 108 - 507 + 610. Let f(c) = -13*c - 4. Give 7*f(k) - 6*j(k).\nAnswer: -7*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = n**3 - 39*n**2 + 335*n + 21. Give c(13).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 1629.37631 rounded to the nearest integer?\nAnswer: 1629","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 40 + (-5 - -38) + 158 + -142.\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*l + 4*s + 75, 4*l - 66 = s + s. What is the remainder when l is divided by 13?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-15768)\/(-378) - 42 - (-54)\/(-56)?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = r + 488. Let t(q) = -3*q - 975. Let m(u) = 5*k(u) + 2*t(u). Let v be m(0). Suppose 6*p = v + 98. Does 14 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 205, 401, 583, 751, 905, 1045, 1171?\n\"Answer: -7*h**2 + 217*h - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) be the third derivative of w**5\/15 + 5*w**4\/24 - 11*w**3\/3 + 17*w**2. What are the prime factors of d(-6)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) be the second derivative of -o**4\/12 - 30*o. Let g(c) = 4*c**2 + 4*c - 4. Let t(f) = g(f) + 5*h(f). Calculate t(6).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-366)\/72 - -5)\/((-1)\/4). Which is the closest to 1?  (a) 1\/16  (b) 0.3  (c) 0.4  (d) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 1\/2  (b) 2\/47  (c) -2\/9  (d) 7  (e) 5  (f) -109\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/4, -26\/5, -3.36 in decreasing order.\nAnswer: 1\/4, -3.36, -26\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xmxj when four letters picked without replacement from xjxjjrjmrjxrmmxxxxjj?\nAnswer: 49\/6460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u = 2*b - 315 - 193, 0 = 8*b + 5*u - 2087. Does 6 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -3.13598 + 3.178. Round n to 3 dps.\nAnswer: 0.042","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 3 - (2 - (-21943)\/(-24)). Let k = m - 2765\/3. What is the common denominator of 32 and k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -14841, -29682, -44523?\nAnswer: -59364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 400 is divided by 134.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 330 divided by 66.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0729187 to 4 dps.\nAnswer: 0.0729","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (4 - 44 - -40)\/((-160)\/(-6 - 2)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4545*x - 4541*x - 4*a = 16, -3*x + 17*a = -40 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from uubbbbsbbububbjusjj. What is prob of picking 2 b?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -16740380*u**2 - 42376289*u wrt u?\nAnswer: -33480760","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 45133 at most 45126?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 256032 to the power of 1\/2, to the nearest integer?\nAnswer: 506","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m + m = -4. Let d be (-274)\/m*1 - 2. Suppose d = 4*w - 3*c, 4*w - 78 = 2*c + 52. Calculate the highest common divisor of 12 and w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) 0.021  (b) 7  (c) 0.06  (d) -0.076  (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = 516*t - 834. Is 9 a factor of n(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of ((-468)\/(-336))\/(3\/8) and 32\/5.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-d + 0*d + 3*d)*(-921*d + 13*d**2 + 921*d - 29*d**2 + 16*d**2 - 90091*d**3).\nAnswer: -180182*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 10699835 to the power of 1\/3, to the nearest integer?\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = -x**2 - 32*x - 119. Let b be c(-27). Let l(h) = -h**2 + 23*h + 51. Is l(b) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**(-10))**(-50)\/(i\/(i**(7\/4)\/i)*i\/(i**7*i)) assuming i is positive.\nAnswer: i**(2027\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -687 - -657.3. Let q = 30 + o. Which is the third smallest value?  (a) -1\/3  (b) 2\/9  (c) 4  (d) q\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 248776 is divided by 44?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 3 + 535676?\nAnswer: 535679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 70029, 70031, 70033?\nAnswer: 70035","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = -16562*q + 4140482. Calculate p(250).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 18 - 11. Let w = -19 + 31. Let t = w - y. Solve -t*b = -0*b + 5 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (0 + 1)*(-3 + -1 + -105). Let p = a + 145. Let f be (2\/6)\/(3*1\/p). Solve -2*g + 36 - 10 = -f*d, -3*g + d = -19 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 28665086?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (-12)\/(-24)*(-538)\/(-1).\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 19 minutes before 6:40 AM?\nAnswer: 6:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -100*u + 22*u + 54*u + 2.\nAnswer: -24*u + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Divide -51 by -9.\nAnswer: 17\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((3*m - 2*m - 6*m)*(-7*m + 2*m + 3*m) + ((2*m - m + m)*(-4*m + 4*m - m) + 4*m**2 + m**2 - 2*m**2)*(0 + 2 + 0))*(728 + 5*m - 728).\nAnswer: 60*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 96 - 96 - 23*q + (-10 - 258 + 31)*(7*q - 2*q - 3*q)*(4 - 4 - 1) to z + l*q and give l.\nAnswer: 451","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -69\/358 and -81\/220544.\nAnswer: 39477376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 11 and 2449015582.\nAnswer: 26939171402","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = 3606*n + 25238. Determine a(-7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 419785 (base 10) to base 5.\nAnswer: 101413120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = 2*y**3 + 2*y**2 - 4*y + 9. What are the prime factors of u(4)?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o = -y - 7, y + 3*o = -3*y + 17. Let v(f) = y*f + f - 3*f - f**2. Let d(l) = -3*l**2. Determine v(d(s)).\nAnswer: -9*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(833) - (-6*(0 + sqrt(833)))**2.\nAnswer: -29988 + 7*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is -345930 at most as big as -345917?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 36501 to the power of 1\/2, to the nearest integer?\nAnswer: 191","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Does 2074 = 2071?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = w**2 - w. Let z(s) = 3*s**2 - 5*s - 4. Let b = 8 + -9. Let a(m) = b*z(m) + 4*y(m). What is the units digit of a(0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1643 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 p = 0.44 + -0.04. Let s = -0.97 + 1. Let o = 0.47 + s. Put 4, p, o in increasing order.\nAnswer: p, o, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, 0, 3, -196 in ascending order.\nAnswer: -196, -5, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -15*k**2*o*r**2 - 1364*k**2*o + 2*k*o - 36*k*r**2 - k*r + 181*o*r**2 wrt k?\nAnswer: -30*o*r**2 - 2728*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 r, 1 z, and 1 a when three letters picked without replacement from zajor.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 120050043.\nAnswer: 3, 223, 311, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -103\/156 and -55\/104.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -1288.7266 rounded to the nearest ten?\nAnswer: -1290","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1028 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many kilometers are there in 743089.3 nanometers?\nAnswer: 0.0000007430893","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*h - 41 = -4*n, 2*h + h + 6 = n. Let u be ((-5)\/15)\/(n\/(-12)). Factor -2\/9*s**2 + 0 - u*s**5 + 0*s + 0*s**3 + 2\/3*s**4.\nAnswer: -2*s**2*(s - 1)**2*(2*s + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 31*b - 16*b - 30 = 0. Suppose d + 3*d - 2380 = b*k, -d + 5*k + 613 = 0. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -56, -1\/4, 15?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1000 is divided by 125.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -36*u + 14*u + 108920 = -8*u. What is the thousands digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 24.6 + -24.6. Which is the closest to 3\/56?  (a) -0.5  (b) -0.1  (c) -1\/7  (d) h\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2 + 2*u + 2)*(-3*u**3 + 3*u**3 - u**3) - u**4 + 49010*u - 48529*u + 2*u**4 to the form k*u**3 + x*u + b*u**2 + z + s*u**4 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.1, -1597548, 2\/7 in ascending order.\nAnswer: -1597548, -0.1, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round -15270000 to the nearest one million.\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 27*p**5 - 1316*p**4 + 404052*p**2.\nAnswer: 1620*p**2 - 31584*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: (16\/(-56))\/(12\/165*(-880)\/(-480))\nAnswer: -15\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -3*f**2*u - 38*f**2 + u - 286 wrt f.\nAnswer: -6*f*u - 76*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 24 and 7109688.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 > -1\/459?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 13 - 8. Solve 4*l**4 + 5*l**k - l**3 - 7*l**5 - l**3 = 0 for l.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 87 and 3?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = 2*q**3 - 120*q**2 - 162*q - 52. Does 29 divide p(62)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = g + 3*d, -2*g = -4*g + 3*d - 23. Let x be 75\/6 + 3\/(-2). Let m = g + x. Solve -5*s + s - m*u = 0, 8 = s - u for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4995\/15725 + (-2 - (83\/(-17) + 3))?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*o - o + 105. Let z be (-6 + 6)\/((-2)\/(-1)). Suppose z = -5*h + 15 - 0. Calculate the greatest common divisor of o and h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(13) + sqrt(117) + -5 - (sqrt(78)\/sqrt(3))\/sqrt(2).\nAnswer: -5 + 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2, 45, 160, 383, 750?\nAnswer: 1297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = -5763*o**2 + 9*o - 2. Let m(r) = -4*r. Give m(n(w)).\nAnswer: 23052*w**2 - 36*w + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = -f**2 - 2*f + 8. Let r be b(6). Let h = -36 - r. Solve -h = -5*x + 6 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7174697 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 98 + -95. Let m = -273 - -2197\/8. Which is smaller: m or x?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -825*k - 1051*k = -105056 for k.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-3)\/5)\/((-6)\/30). Suppose -4*a = -2*b - 130, -s*a - 5*b + 108 = -10*b. Is a a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s = -d - 2*d - 47, s - 5*d = 33. Suppose -2*c + 2 = s. Is (c\/9)\/((-1)\/318) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 20 divided by -55\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 200 divided by 25.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-10)\/35 - 3\/(-35). What is the closest to -1\/6 in 0.4, y, -1\/4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.1 times -2147\nAnswer: 214.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 44 and 2827?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Add -610131.6 and -69862728.\nAnswer: -70472859.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z**(-1))**(-48))**(3\/28)*((z*z\/(z**(-1)*z*z*z))**49)**16 assuming z is positive.\nAnswer: z**(36\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = 3*a**2 + 7*a + 7. Give g(-5).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 0.07 + -0.06. Let m = a - 0.01000014. What is m rounded to 7 dps?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 122162?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 63\/8 and 16\/19?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = -9*z. Let j(w) be the first derivative of 10*w + 0*w**2 + 1\/12*w**4 + 7 + 0*w**3. Let a(n) be the first derivative of j(n). Give x(a(s)).\nAnswer: -9*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -60.9 - 6.1. Let p = h + 67.1. Let x = -1 + -1. What is the second biggest value in p, x, 1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 121133 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + (sqrt(120)\/(sqrt(84)\/sqrt(7)) - (sqrt(10) - (sqrt(160) + 3*sqrt(160) + sqrt(160) - sqrt(10))))\/((sqrt(14)*-1*3)\/(-1*(sqrt(63) + sqrt(7)))).\nAnswer: -4 + 76*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.205754 rounded to 1 dp?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 23*l - 9*l - 56. Let k be 18\/135 + l*(-3)\/90. Solve 3*s - 7*s - 24 = -4*h, k = -4*h + s + 18 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9 = -3*y + 146*h - 147*h, -1 = -2*y - 3*h for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 20586927?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = -7*q**3 + 2*q**2 - 11*q + 9. Give c(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -42742247\/10860 - 363273\/181. Let w = m + 5943. Let c = -3479\/40 + 418\/5. What is the common denominator of c and w?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h = -3*h - 10. Find i, given that i**5 - 5*i**h - i - 2*i**4 + 0*i**5 + 2*i**2 + 5*i**5 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 49755882 divided by 12606.\nAnswer: 3947","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-22625)\/(-100) - (2 + (-22)\/8). Let q = c - 225. Solve 64\/5 - 12\/5*g**q + 14\/5*g**3 - 64\/5*g - 2\/5*g**4 = 0 for g.\nAnswer: -2, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 - 9 = -b. Suppose -y = -0 - b. Suppose y - 1 = w. Solve 0*o - 12 = -w*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = 2*u - 2. Let i(m) = -m**2 + 5*m - 5 + 2*m - 2*m. Let a = 0 - 2. Let h(c) = a*i(c) + 5*x(c). Let b(f) = 3*f. Give b(h(v)).\nAnswer: 6*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 10*p - 21*p + 11*p + 2*p.\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + ((sqrt(480)*1 - sqrt(480) - sqrt(480))\/(sqrt(1000)*-1))**2.\nAnswer: -63\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -21, -26, -19, 6, 55, 134, 249, 406?\n\"Answer: z**3 - 12*z - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 168811109 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 1.709  (b) -30  (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1407)\/(-804) + (-3)\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 42 + 76 - 95 - 115?\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 176 + -173. Suppose -3 = 4*q + 3*j, -3*q + v*j + 0 = -3. Solve q*y + 8 = 2*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = 87*c**3 + 2*c**2 - 2*c + 1. Let r be d(1). Calculate the greatest common divisor of r and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine o so that -1000\/13 - 2\/13*o**2 + 90\/13*o = 0.\nAnswer: 20, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -610.12 - -610.22. Let d = -11 - -18. Let q be 40\/42 - 2\/d. Which is the closest to y?  (a) 3  (b) q  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 333 - q**2 + 5*q**2 - 921 + q + 3*q**2 - 4*q**2 as f + h*q + w*q**2 and give f.\nAnswer: -588","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*sqrt(171)*-2 + -4.\nAnswer: -24*sqrt(19) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -3.96 - 0.04. Let w = 0.7 + -1. Let g be 3*((-1)\/(-7) + 0). What is the nearest to 0.1 in n, w, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 2321 + -492. Does 59 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -3 - -110?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p be -5*(-28)\/8 - (-4)\/8. Let x = -88 - -57. Let t = x - -58. What is the highest common divisor of p and t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) be the first derivative of 5*n**4\/4 - 2*n**3\/3 + n**2 + n + 363. Let a(z) = -4*z**3 + 3*z**2 - 3*z - 1. Calculate -2*a(k) - 3*y(k).\nAnswer: -7*k**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Express -14205*f**3 - 9*f**2 - 2 + 14181*f**3 + 1 as z*f**3 + t + b*f**2 + x*f and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*l**2 - 2*l**2 + 2*l**2)*(4*l**2 - l**2 - l**2)*(3*l - 2 + 2).\nAnswer: 12*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1377)*-1)**2 + -5 + -3.\nAnswer: 1369","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 560.51 days to minutes.\nAnswer: 807134.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = 4*r - 2. Let v be i(2). Let o(k) = k**2 - 2*k + 10. Let z be o(v). Let y = 62 - z. Is 6 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -491 - -3967. Let d = -3572.01 + o. Let n = 97 + d. Round n to 1 dp.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 82819 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence psga when four letters picked without replacement from {a: 4, t: 6, p: 7, g: 1, s: 2}?\nAnswer: 7\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = 19*v**4 + 5*v - 15. Let a(j) = -10*j**4 - 3*j + 8. Let b(m) = 5*a(m) + 3*n(m). What is the derivative of b(s) wrt s?\nAnswer: 28*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 80 - (4 + (-1 - 14) - (0 + 8 - 22)).\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = x**2 - 49*x + 471. Calculate k(31).\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -31a5b - 0?\nAnswer: -31a5b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 811?  (a) 3\/352  (b) -0.04  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 625894761 from -256.2.\nAnswer: -625895017.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 9685 + -9686. Sort 3, 0, u, -25, -6 in ascending order.\nAnswer: -25, -6, u, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -143159982 divided by -19299.\nAnswer: 7418","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g = -4*w + 3, -4*w - g - 4 = 3*g. Let k(q) = q**3 - 5*q**2 + 7*q - 8. Let i be k(4). Suppose 0 = 2*t + i*x - w*x - 32, -2*x = 4*t - 34. Is t even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 34396530.\nAnswer: 2, 3, 5, 7, 23399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -72 + 81 + 9*o**4 + 5*o**4 - 20*o**4 - 2*o**3 to the form h*o**4 + f*o + s + z*o**3 + v*o**2 and give h.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -1 times -0.034304\nAnswer: 0.034304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 19\/100 and -71\/10.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -2\/127 or -199230?\nAnswer: -2\/127","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 b and 1 w when two letters picked without replacement from gbebwwbbwwe.\nAnswer: 16\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-3)\/6)\/((-2)\/48). Suppose -9*b + 8*b = -g. Calculate the highest common divisor of 84 and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-7*k**2 - 7*k**2 + 8*k**2)*(-k**2 + 3*k**2 + 4*k**2) + (-1780*k - 30*k**3 + 1780*k)*(-1 + 2*k + 1).\nAnswer: -96*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = h**2 - 14*h - 16. What is the tens digit of a(16)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 47227.\nAnswer: 83, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 184453835 to the nearest integer?\nAnswer: 569","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6148 is divided by 1505?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 394 and 282659146?\nAnswer: 394","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*l**2 - 2*l**2 - l**3 - 2*l + 2*l - 2*l**3 + (l**3 + 0*l + 0*l)*(-2 + 0 + 0) - 7*l**3 + 4*l**3 + l**3.\nAnswer: -7*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence imgm when four letters picked without replacement from {g: 4, i: 3, m: 2}?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 t and 1 r when three letters picked without replacement from tqtktrtrt.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 86 - 103 = -36*o - 377 for o.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 150\/36 - (-1)\/(-6). Let a(p) = -q - 1 + 4 + 2*p. Let j be a(1). Is 1\/5 at most j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12 = 7*x - 4*x. Suppose -l + 8 = v - x*v, -3*v = l - 8. Calculate the least common multiple of l and 1.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 2\/3 and -46\/2684713 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 5 * 46\nAnswer: 230","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -47?  (a) 0.3  (b) 3\/7  (c) 6  (d) -96\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -30 - -28. Let k(l) = 4*l**3 + 3*l**2 - l - 2. What is k(a)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2136643 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-144)\/30*(-1155)\/15708.\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is -291 != 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Round -3.034104 to 0 decimal places.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -50.2 - -47. Let v = r - -8.2. Let b = v - 5.00032. Round b to 4 dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -j - 10*j**3 + 3*j - 268*j**4 + 94*j**4 + 9*j**3 to i*j**2 + m + d*j**4 + a*j**3 + t*j and give d.\nAnswer: -174","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -3b3cc3 + -4?\nAnswer: -3b3cc7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -584*b**3 + 1153*b**3 - 567*b**3.\nAnswer: 2*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 264\/28 - 11\/(462\/18). Let q(y) be the third derivative of 0*y**3 + 0*y**4 - 1\/120*y**5 + 0*y**6 + 0 + 1\/420*y**7 + h*y**2 + 0*y. Factor q(s).\nAnswer: s**2*(s - 1)*(s + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 x when three letters picked without replacement from {m: 2, x: 4}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i = -0*k - 4*k + 4, -3*i - 3 = 2*k. Solve k*b - 3 = 3*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 351704?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = -11*n - 5. Let z be o(4). Let g = z + 78. Suppose -4*a = -2*q - g - 37, -2*a + 36 = -2*q. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.9679344 millimeters in centimeters?\nAnswer: 0.09679344","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = -m. Let l(w) be the second derivative of w**4\/2 - 10*w**3\/3 + 2*w - 226. Calculate a(l(c)).\nAnswer: -6*c**2 + 20*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 10117.1 + -10117. Sort -5\/11, 1, s in decreasing order.\nAnswer: 1, s, -5\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 9054 divided by -6.\nAnswer: -1509","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 12920 and 129200.\nAnswer: 129200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-5 - -3) + 0 + -1 + (42 - (12 + -16))?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5 divided by -238210523.\nAnswer: -5\/238210523","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25*i + 17 = -22*i - 5*u, 5*u = -4*i + 11. Solve 13 = -i*s + 29 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -104.24*0.03.\nAnswer: -3.1272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -128*n + 141*n + 242*n.\nAnswer: 255*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h be -1195 - (2\/(-1) - -7). Let i be ((-4)\/10)\/(8\/h). Suppose -2*p = -4*p + 12. What is the highest common factor of p and i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*r = -i + 4*i + 143, -80 = -3*r - 4*i. What is the common denominator of (-126)\/44 - (-1 + 1) and 62\/r - (-3 - -1)?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be -13 + -1 + 8 + 18 + -22. Let b(c) = -2*c**3 - 21*c**2 - 13*c - 20. Determine b(q).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-12)\/(-15) + 0)*(-2)\/12.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1186*q + 5 = -1191*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*x = -20, 3*x = -i + 42 - 4. Suppose -25 + i = g. Which is bigger: 15\/64 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -56\/33 + 17\/10. Let o(i) be the third derivative of -r*i**5 + 0 + 0*i - 1\/33*i**3 - 1\/66*i**4 - 2*i**2. Solve o(q) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 286086 is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express 26 - 314*h**2 + 304*h**2 - 28 as l*h**2 + a*h + i and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 v and 2 o when four letters picked without replacement from {o: 8, a: 6, v: 3}.\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: (12\/(-20))\/((-16)\/20*(-7)\/84)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2*r**4 - 52*r**3 - 301156*r**2 - 2*r - 150463948 wrt r?\nAnswer: -24*r**2 - 312*r - 602312","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 204 + -136. Let x = y + -44. Let o = x - 19. What is the smallest value in o, -5, -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 3 + -33c4041a?\nAnswer: -33c40417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve f**2 + 288*f - 10948 = 0 for f.\nAnswer: -322, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 3529572 divided by -2\nAnswer: -1764786","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.06 - 0.04. Let m = 6124.5 - 6124.39999975. Let l = m + w. Round l to 7 dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {f: 1, y: 4, j: 2, e: 2, v: 1}. What is prob of picking 2 y, 1 v, and 1 j?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -65 - -69. Suppose 0 = 4*t - 5*m - 127 + 44, 4*t + i*m = 92. What is the highest common divisor of 143 and t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0.04 or -2\/129?\nAnswer: -2\/129","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q = -12 + 3. What is the first derivative of 10*b - 10*b - 3*b**3 - q wrt b?\nAnswer: -9*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 11*y**2 + y - 3*y**2 + 2*y**2 + 9.\nAnswer: 10*y**2 + y + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 21927270?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-2 - 1)*(-39)\/(-9). Let n = -10 - j. Suppose -n*c = -15, 2*d + 2*c - 34 = -8. Solve d = 4*q, -3*u = 2*q - 3*q - 1 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0352092021 rounded to 4 dps?\nAnswer: 0.0352","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:06 AM and 5:30 PM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -210234 divided by -70078?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 - (-2 - (-3 + -3)) - (2 - -39) - -8?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 130 a factor of 47422712?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = 3*k**2 - 3*k - 3. Is t(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = 2*r**2. Let f(g) = 2*g**2 - 6*g - 5. Let n be f(-3). Let h(z) = -4741*z - n*z**2 + 4741*z. Determine h(d(i)).\nAnswer: -124*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Put 1.601, 1\/2, -131\/5 in increasing order.\nAnswer: -131\/5, 1\/2, 1.601","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 395 is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -1110001001011110110 (base 2) in base 7?\nAnswer: -3640423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 11 divided by -669.\nAnswer: -11\/669","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 502\/4*64\/(-112) - (-228)\/(-798)?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -10\/221 - -1072\/13923. Which is greater: d or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = -2*h**3 - 8*h**2 - h + 17. What are the prime factors of n(-7)?\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = -2*d**3 - 52*d**2 + 6*d - 88. Let s be t(-27). What is the greatest common factor of 40 and s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -5 + 16 - (-5 - -5 - (-5 - (1 + 44)))?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l - 7 - 14 = 0. Is ((-35)\/l)\/(2\/138) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*b + 2*b = -62 + 47 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-10)\/5)\/((10\/(-4))\/5). Solve -3*b - 5 = g*f, -2*b - 2*b + 5 = 3*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -11\/2*y**3 + 25 - 33\/2*y**2 - 5\/2*y - 1\/2*y**4.\nAnswer: -(y - 1)*(y + 2)*(y + 5)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = l + 3. Let y = -58 - -110. Let s be (1 + -4)*(50\/(-3))\/1. Let f = s - y. Calculate b(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) be the second derivative of 6*d**5 + 7*d**3\/6 - 8*d**2 - 7*d + 14. What is the second derivative of o(r) wrt r?\nAnswer: 720*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 14\/6*((-969)\/19)\/(-17)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 3721 smaller than 3720?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = -m**2 - m. Let l(i) = i**2 + i. Let v(g) = 4*l(g) + 5*r(g). Let n be 1*(-4)\/(-8)*0. Calculate v(n).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 144 minutes after 5:39 AM?\nAnswer: 8:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from vevvvvzeddylvdlvdee. What is prob of sequence evde?\nAnswer: 7\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((w*w**0)\/w)\/w)**(-7)\/((w\/(w**(-1\/2)*w))\/w**7))\/((w*w**(-2\/5)*w)**47)**(2\/11) assuming w is positive.\nAnswer: w**(-19\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:33 PM and 2:57 AM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 2172072 and 24360?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 divided by 16484?\nAnswer: -1\/4121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {y: 8, g: 2}. What is prob of sequence yygy?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -4 + 8. Suppose 3 = -3*u + 6*u, 0 = -4*y - 4*u + 16. Suppose -y*o = -75 - 9. Calculate the greatest common factor of k and o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2 + 22*g**3 - g**2 - 37*g**3 - 12*g**3 + 2*g to the form q*g + w*g**3 + b*g**2 + p and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 399 minutes after 10:12 PM?\nAnswer: 4:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f - 2 = 5*f, 2*p - 4*f = 862. Let w(j) = 427 + 9*j - p + 4*j. Let a(y) = 2*y. Let h(c) = c. Let b(v) = -2*a(v) + 3*h(v). Give b(w(r)).\nAnswer: -13*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0.84 + -2.86. Let r = j - -1.02. What is the biggest value in r, -2\/21, 0.2, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -680 - -686. Suppose d*f = 3*c + 11*f - 95, -2*c + 38 = -3*f. Calculate the greatest common divisor of 400 and c.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -112*f**4 + 21*f**4 + 2882 + 69*f**4 + 386*f**4 + 479*f**4 wrt f?\nAnswer: 3372*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 23928961961 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round 636.95 to the nearest 100.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 0.28168*-0.44\nAnswer: -0.1239392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*t + 8, -5*y - t - 394 = -0*t. Let s = 100 + y. Which is smaller: 20 or s?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 133*x - 115*x - 1728. Calculate the greatest common factor of 8256 and x.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 288940 to the nearest ten thousand.\nAnswer: 290000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 42, 35, 28?\n\"Answer: -7*d + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -3333, -2, 3 in decreasing order.\nAnswer: 3, 1, -2, -3333","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 3\/4 in 0.3, 4, -6?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange y - 2*y**4 + 2*y**2 + 2*y**3 + 27 + y**2 - 27 to the form t*y**3 + i*y + w + u*y**2 + n*y**4 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Divide -7 by 17.\nAnswer: -7\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9 - 3 = 3*o. Suppose 0 = -3*y + h + 6 - 38, -2*y = 3*h + 36. Calculate the remainder when (-429)\/y - (-3)\/o is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -27.72173211 + 11492.\nAnswer: 11464.27826789","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = x. Let v(c) = -6*c**2. Let g(l) = 4*l**2. Let p(j) = -8*g(j) - 5*v(j). Calculate p(a(i)).\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 99\/20 - 27\/10. Let j = 141 + -89.3. Let g = j + -52. What is the nearest to 1\/3 in v, g, 2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 41*w**4 - 1607*w**2 - 1 - 40*w**4 + 2*w**3 + 1571*w**2 - 2*w to the form o*w + y*w**4 + j*w**3 + a + c*w**2 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 6270 and 62424120.\nAnswer: 62424120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -123877.92 + -4.\nAnswer: -123881.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 2491 + -2597.9. What is h rounded to zero dps?\nAnswer: -107","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3677 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 13458?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1358876861?\nAnswer: 17, 79933933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/7 in 1\/7, 0.04, 9, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (6 - 9) + (138 - 136) - 32.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 12\/(-18)*(-3 - 0). Let w = 18 + -14. Let q(p) = 0*p**2 - 5*p + p**y + 1 - w. Calculate q(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0.86 + -0.36. Let q(p) = 2*p**2 - 9*p - 5. Let w be q(5). Suppose w = 2*m - 1 + 9. Which is the closest to 2?  (a) m  (b) j  (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9 - 12 = -2*s - 3*t, -4*t + 20 = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 5  (b) 0.22  (c) -2\/7  (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 31141.35733 rounded to the nearest one thousand?\nAnswer: 31000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b = 2*d + 6, 69*d = -3*b + 64*d - 15. Let z(t) = 11*t - 14. Give z(b).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 4*(-2)\/4*2. Let x(o) = 2*o**2 + 5. Let l(t) = 2*t**2 + 6. Give r*l(y) + 5*x(y).\nAnswer: 2*y**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 3*6\/27*6. Suppose t - 14 = -x*r - t, 0 = t + 1. Solve 2*q = -r*f - 18, q + 24 = -4*f + 5 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2651?\nAnswer: 11, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 26\/(-39) - (-8)\/(-6). Let d be q - (-2 + -1 + -4). What are the prime factors of 1\/5 + 149\/d?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 5577, 5539, 5431, 5217, 4861?\n\"Answer: -6*s**3 + s**2 + s + 5581","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((-450)\/(-27))\/(2\/3). Suppose -5*n - 2*t + 28 + 9 = 0, 0 = 5*n + 5*t - f. Calculate the highest common divisor of 72 and n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*(1*(1 + (sqrt(19) + -4 - sqrt(19))) - 5*(-2*sqrt(228))\/sqrt(12)) + 1)**2.\nAnswer: -40*sqrt(19) + 1904","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.4 less than 166550?\nAnswer: 166549.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -15474*z + 7710*z + 2 + 1 + 7720*z.\nAnswer: -44*z + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -2\/39 + 127\/195. What is the third biggest value in 0, w, 0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 90*m**3 + 136*m + 136*m - 35*m**3 - 275*m.\nAnswer: 55*m**3 - 3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = 3*f**2 - 3. Let d be m(3). Let g be (-574)\/(-8) + (-2)\/(-8). What is the greatest common divisor of d and g?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 618641352?\nAnswer: 2, 3, 7, 1227463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -35 + 38.6. Let i = m - -1.4. Let j = -15.9 + 16. Which is the nearest to j?  (a) -1  (b) -0.4  (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from nononnnono. Give prob of sequence onno.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -959\/13298 - -5\/218. Which is smaller: -1 or p?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 153 + -88. Let k = 13 + -8. Suppose n = k*t - 0*t. What is the remainder when 37 is divided by t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f - f = 15. Let i = -494746\/125 + 3958. Let a = 46\/125 + i. What is the nearest to 1 in -2\/11, a, f?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = 7*p. Let x(c) = -12*c**2 + 5*c**2 + 9*c**2. What is q(x(v))?\nAnswer: 14*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 20607 and 6337.\nAnswer: 130586559","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is (19 - (-8 + 28 + 0)) + 28?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = -13*m**3 - 3*m**2 + 3*m. Let z(d) = -38*d**3 - 8*d**2 + 8*d. Give -8*r(f) + 3*z(f).\nAnswer: -10*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -44 - 75. Let j = -118.99645 - v. What is j rounded to 3 dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-19)\/(-10) - 1 - (-90)\/150?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = -257*r**2. Let c(u) = -119*u**2 + 5. Give c(a(o)).\nAnswer: -7859831*o**4 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 26, 98, 242, 476, 818, 1286, 1898, 2672?\n\"Answer: 3*k**3 + 18*k**2 - 3*k + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -252 + 446. Let x = g + -138. Is 8 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -20*u - 8*u - 140. Let p(v) = 4*v**2 - 7*v + 2 - 2*v**3 + 3*v**3 + 3*v. Give p(u).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2\/9 + 3784\/387?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the billions digit of 2120303306?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 158405 and 292890.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = f**3 - 30*f**2 + 24*f - 78. Let d be l(30). Let p = d + -644. Let z = 0.02 - 0.09. Which is the biggest value?  (a) 2  (b) z  (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-w**2 - 4*w**2 + 6*w**2)*(0*w**2 + w**2 - 3*w**2)*(-46 - 91 - 72)*(3 + 0 + 0).\nAnswer: 1254*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 116275?\nAnswer: 5, 4651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 8552?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x = -3*b + 27, -3*b + 7 = -b + 5*x. Suppose 7*w = -b*w + 1026. What is the remainder when w is divided by 35?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1 - 15) + (78 - 113) + 1 + -4?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, 101, -1, 2, 0 in ascending order.\nAnswer: -3, -1, 0, 2, 101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 42 minutes before 11:15 PM?\nAnswer: 10:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -29 - -20. Let n be 6*(132\/308 - 54\/28). Is f < n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2 - (7 + 1)) + 7 + 7.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3110308 is divided by 368?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -175*o - 326*o + 4*c = -1014, -4*o - c = o - 4*c - 19 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let -4*j**4 - 675992*j**3 - 2027924*j**2 + 2703920*j = 0. Calculate j.\nAnswer: -168995, -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 t and 2 z when four letters picked without replacement from {s: 7, z: 4, t: 2}.\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*i + i + 72. Let q(s) = -s**2 + 31*s - 132. Let m be q(25). Calculate the greatest common divisor of i and m.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2430 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -1 - 137bc?\nAnswer: -137bd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Divide 23228 by -11.\nAnswer: -23228\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 6730 divided by 10?\nAnswer: 673","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 21, 2 in ascending order.\nAnswer: -2, 2, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q - 3*q + y = 0, -3*q - 7 = 2*y. Let b = -1 - q. Let h = -22 - -21. Put 5, h, b in ascending order.\nAnswer: h, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 111.8 - 149. Let k = o - -80. Let f = k - 68. Round f to 0 decimal places.\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -10 - (8 + -7 + -5) - -2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = i + 76 - 52. Let r(t) = t - 18. Let k be r(13). Sort -1, i, k in decreasing order.\nAnswer: -1, k, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 28603 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 359\/3 + -3943\/33. What is the nearest to 0.1 in y, 1\/4, -0.098, 3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -14*t - 9474 + 9544 - 2*t + 2107*t**4 wrt t?\nAnswer: 25284*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -20, 37, -4 in descending order.\nAnswer: 37, -4, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 121 - 12. Let o = -79 + l. What is the greatest common factor of o and 210?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = 56875*i**3. Let r be s(-2). What is r rounded to the nearest one hundred thousand?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 49 + -44. Does 4 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-7)\/14)\/((-25)\/1130) - 15\/25.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2735 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find r such that -3*r**2 + 10488*r = 0.\nAnswer: 0, 3496","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g = -344 - 13. Let k = g - -360. Solve -2*c + 4*b = 24, -k*c - 19 = -5*b + 13 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 36\/1511 and 8?\nAnswer: 1511","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = -5*f**2 + 3. Let c(r) = -r**2 + 1. Let p(n) = -6*c(n) + 2*z(n). Let b(v) = -8*v. What is b(p(k))?\nAnswer: 32*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = 5*c**3 - c + 1. Give b(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9*i + 5*k - 85 = 7*i, -2*i + 18*k = -4*i + 306 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = -8*u**2 + 28*u + 43. Let z be r(11). Let m = -617 - z. Which is the biggest value?  (a) 51  (b) m  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 28271 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1072 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h + 6 = 3*h. Let w = -173 + 275. Suppose -h*d = -a + 34, a = -2*a - 2*d + w. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16*l - 24 = 56. Solve -o = -6*o - l*y - 15, 5*o + 3*y = -9 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (20\/6)\/5 + 70\/21. Suppose -5*o + 204 = 3*c - 2*o, -3*o - 279 = -m*c. Calculate the remainder when c is divided by 20.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -4\/265 - 5019\/1060. Let a = h + 99\/20. Factor -3\/5*m - a - 1\/5*m**3 - 3\/5*m**2.\nAnswer: -(m + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*y - 5*y + 13. Let a(c) = -23 + y*c - 5*c**2 + 2*c**2 + 11*c**2 - 3*c. Is a(10) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 divided by 238.\nAnswer: 1\/238","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 5003c - 54?\nAnswer: 4ddc8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1 - (0 + -10) - 1.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-96)\/(-15) + (-2)\/5. Suppose -y + 3*f - 5 = 0, -4*y - 2*f + f = -n. Let j = 6 - y. What are the prime factors of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 25150 is divided by 23.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -15292 divided by -3823.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 597 minutes after 2:49 PM?\nAnswer: 12:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 52 - -58. Let c = 187 - j. Let u = -51 + c. Calculate the remainder when u is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 1406 divide 137300248?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = 2*m. Let y(p) = -66. Determine 6*s(h) - y(h).\nAnswer: 12*h + 66","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 4\/3*(-27)\/(-72)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*r = 21 + 3. Solve 10 = -4*v - 2*j, 0*j + 2 = r*j for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -20302232031 + 13?\nAnswer: -20302232013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let -3*f**4\/2 + 48531*f**3\/2 + 242709*f**2\/2 + 339813*f\/2 + 72819 = 0. What is f?\nAnswer: -3, -1, 16182","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 530 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence fr when two letters picked without replacement from {f: 1, t: 1, a: 5, c: 1, r: 4, q: 5}.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = k**3 - 2*k. Let p be (9\/(-5))\/(32*90\/4800). Let d(m) = 2*m - m**3 + 0*m - m**3. Give p*j(i) - 2*d(i).\nAnswer: i**3 + 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -631 + 22*d**3 - 629 + 1894 - 634.\nAnswer: 22*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = v**2 - 6*v - 8. Let m be c(7). Let u be m\/(-3) + (-8)\/6. Let i be -1*15\/24 - u. What is the third biggest value in i, -1, -0.4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = -l + 4. Let u be z(5). Let y = u - -14. List the prime factors of y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 t and 1 a when two letters picked without replacement from akavktaakaavaaatva?\nAnswer: 20\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Put 122, -2, 4, 0 in decreasing order.\nAnswer: 122, 4, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 54*n - 3 = 55*n. Let w = -3.9 - 1.1. What is the second biggest value in w, n, -2\/81?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0 + -6. Let l be (-9596)\/f - (-10)\/15. What is l rounded to the nearest one hundred?\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9 divided by -7305398?\nAnswer: -9\/7305398","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (p - 9*p + 2*p)*(-1626*p**2 - 1128*p**2 - 2060*p**2) to the form g*p**3 + u*p + m*p**2 + i and give g.\nAnswer: 28884","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 21104 or 1?\nAnswer: 21104","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*a + 0*a = -45. Let z = -55 + a. Let s = z - -63. Calculate the greatest common factor of 115 and s.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2772 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: 0.04*-3.6\nAnswer: -0.144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -330 + 356. Solve 2*a = 5*h - j, a + 5 = -2*a - h for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 13052.\nAnswer: 2, 13, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1515, -1508, -1489, -1452, -1391, -1300, -1173, -1004?\nAnswer: -787","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 5 - 55024?\nAnswer: -55015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -868, -9 in increasing order.\nAnswer: -868, -9, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = i**2 - 7*i. Let v = 189 - 164. Suppose 5*k - v = g, 10 = k + k + 3*g. What is t(k)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -767 - 11*p + 767.\nAnswer: -11*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6793*-4057.\nAnswer: -27559201","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 79570719.\nAnswer: 3, 8841191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 18, 34574 in descending order.\nAnswer: 34574, 18, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 11624371*g**2*k**2 - g**2*k - 99997*g**2 - 8*k wrt k.\nAnswer: 23248742*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -44, -328, -1094, -2582, -5032?\nAnswer: -8684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(550)\/sqrt(11) - (sqrt(48)\/sqrt(3))\/sqrt(8).\nAnswer: 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 27 a factor of 664\/1494 + (-2)\/(-18)*473360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 178829 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = 16*o - 87. Let n be v(-3). Let p be ((16\/6)\/4)\/((-10)\/n). Solve -4*h + 25 = -5*q - p*h, 4*q - h = -15 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 90*(5\/1 + (-210)\/45). Suppose -5*x = 4*s - r, -s = 3*x + 6 - 17. What is the smallest common multiple of s and (6*2)\/((-3)\/(-2))?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 4154*b**2 + 16989*b + 248088480 wrt b?\nAnswer: 8308*b + 16989","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h + 47 + 25 = 0. Let m = -32 + h. Let b(v) be the second derivative of -v**3\/6 + 2*v**2 - v. Let g(t) = 3*t - 11. Give m*g(l) + 11*b(l).\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -69 = 5*c + 66. Let x = -10 + 11. List the prime factors of 1*(x + (-1 - c)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 42 and 2574.\nAnswer: 18018","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-763*l - 784*l + 1442*l)*(4*l**2 + l**2 - 3*l**2)*(1 - 3*l - 1)*(0 + 0 - l).\nAnswer: -630*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 4 + -3 + (-26)\/(-2). Suppose 2*k + 6*a - 20 = 2*a, 0 = 3*k + 2*a - l. What is the derivative of 2*j**2 - 8 + 4 - j**k wrt j?\nAnswer: 2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 7651654?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 4, -1\/4, -5, 3, 0.9, 34?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Express 67*q - 151*q + 81*q - 108*q - 156*q as n*q + k and give n.\nAnswer: -267","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 75748543 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -20*i - 25*i = -45 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 7916706?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = 2*l + 2*b - 6, 0 = 4*l - 4*b - 28. Let x = 8 - l. Solve -2*v + 2*k = 10, -x*v - k - 6 = 4 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add -95142 and -80.2.\nAnswer: -95222.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 + 12 = -4*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -u - 5*o + 19, 3*u + 18 = 4*o - 1. Let b(l) = 88*l + 1. Let m be b(u). Is m*(2 - 34\/6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -5e88 - -e3d?\nAnswer: -504a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.07875226 - 7.47837326. Let n = -7.4 - m. What is n rounded to five decimal places?\nAnswer: -0.00038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 13613152, 27226281, 40839410?\n\"Answer: 13613129*x + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 309 + -298. Calculate the greatest common divisor of a and 88.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -313173 from 24092.4.\nAnswer: 337265.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 4733.529 kilometers?\nAnswer: 473352900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 46\/3 - 181\/12. Let z = -5\/19 - -54\/133. Which is the third biggest value?  (a) z  (b) -7  (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 91 and 10360?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = -j**3 - j**2 + 2*j - 36. Let n be d(0). What is the tens digit of (-1464)\/n*6\/4?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 499097611?\nAnswer: 17, 907, 32369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 457 minutes before 1:08 AM?\nAnswer: 5:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2)\/(-84*12\/36*2\/4)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6 - 6 - 2*d**2)*(-6*d**2 + 7 - 7).\nAnswer: 12*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (0 - 1) + 0 - -6. Suppose -f = m - 0. Sort 5, m, -2 in ascending order.\nAnswer: m, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 33*102\/8415*1*1\/(-3)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w\/((w**(-2\/17)\/w)\/w)*w\/(w*w\/w**(-4\/5))*w**(5\/4)*w**(1\/3))**(-18) assuming w is positive.\nAnswer: w**(-8877\/170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-3)\/((-2)\/6*1). Suppose 0 = 19*v - 72*v + 212. Suppose -v*l + q = -l. Sort l, 1, -2 in increasing order.\nAnswer: -2, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -1.6, 85, 1, -9?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-6)\/(-1) + (48\/(-2))\/(-4). Solve 11*s - z = 17*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*i + 18 = -37. Let s = -5 + i. Let l(f) be the first derivative of f**2 + 6*f - 1. Let c(j) = -2*j - 7. What is s*l(d) + 5*c(d)?\nAnswer: 2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -17 + ((-57)\/(-18) - 50\/300).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express (1 - 3 + 0)*(0 + 2*j + 0) + (-3 + 6 + 0)*(-9 + 9 - 4*j) + 4 - j - 4 as f + b*j and give b.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -0.2 - -0.7. Let p be (376\/2350)\/(1 - -1). What is the closest to -2 in b, -0.3, p, -6?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 17218538209 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -28, -53, -78, -103, -128?\nAnswer: -153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -19, 13, 45, 77, 109?\n\"Answer: 32*f - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 215851929 is divided by 20?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = -3*b**2 + 2*b - 7. Let t(y) = 3 + 2*y**2 + 2*y + 3 - 4*y. Suppose q - 3 = 3*v, -4*q = -9*q + v + 15. Let s(m) = q*w(m) + 4*t(m). Determine s(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let b be (-2)\/((-6)\/15 + 0). Suppose 7*s = 2*s + b. What is the biggest value in 0.2, s, -0.3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 61297 + -61294. Let j = -0.24 + -0.06. Which is the nearest to -1\/4?  (a) 0.4  (b) j  (c) -2\/7  (d) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = c**3 - 9*c**2 + 4*c - 2. Let p be w(8). Let y = 42 + -63. Let r = y - p. List the prime factors of r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -49, -711, -2563, -6199, -12213, -21199?\nAnswer: -33751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = 13*d**2 - 43*d - 52. Let c(z) = 7*z**2 - 23*z - 26. What is 11*c(q) - 6*o(q)?\nAnswer: -q**2 + 5*q + 26","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = q**3 + 2*q**2 - 11*q - 7. Let z be l(3). Suppose -5*j + z*g + 721 = -854, 0 = -4*j - 4*g + 1268. List the prime factors of j.\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -6\/7685 and 28\/265?\nAnswer: 7685","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 38342 and 722?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 110001100110000 (base 2) in base 15?\nAnswer: 77cc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = 2*r. Let w be f(3). Let k(z) = z**2 - 6*z + 3. Let b be k(w). Determine t so that 9*t**2 - 2*t**3 + 7*t**b + 8*t - 2*t**3 - 2*t = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 9 and 21?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -156*x**5 + 1410*x**4 + 11871*x**3 + 58239*x**2\/2 + 30213*x + 23085\/2 = 0. Calculate x.\nAnswer: -3\/2, -19\/13, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: (20\/(-1330))\/((-7)\/(-49))\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -16440638 divided by 2.\nAnswer: -8220319","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 24543569 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 w and 1 o when two letters picked without replacement from zowzzzznowowzggo.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 4\/(-12)*-6 + 48. Suppose -h*z = -67*z + 34. Solve -b - b - 11 = 3*g, -3*b = -z*g - 16 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be -6*((-10)\/15 - -1) + 5. Suppose -v*o - 1943 = -5*u, -2*u - 5*o = -550 - 252. List the prime factors of u.\nAnswer: 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 21*s - s = -588 - 852 for s.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -25 - -29. Suppose j = w*h - 3*j - 28, -5*j = -4*h + 33. Solve 0 = -7*q + h*q - 15 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3118 smaller than -345?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v = x + 12, 0 = 11*v - 9*v + 4*x. Let m(k) = -k**3 + k**2 - k + 1. Let n(w) = 6*w**3 - 13*w**2 + 7*w - 14. Let i(o) = -5*m(o) - n(o). Calculate i(v).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -1026699, -1026701, -1026703, -1026705?\n\"Answer: -2*k - 1026697","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -2867, -11525, -25951, -46145, -72107, -103837, -141335?\n\"Answer: -2884*i**2 - 6*i + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*y**3 - 1299188*y + 1299188*y.\nAnswer: -5*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in 5\/4 of a day?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 4*1 + 0 + -1. Let f(r) = 685*r**2 - 12329*r - 10. Let d be f(18). Solve 3 = 3*i, i + 0*i = s*x - d for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*(sqrt(104) - ((5*-2*sqrt(104) - sqrt(104)) + sqrt(104)) - sqrt(104)*2*4)\/((sqrt(200) + (2*sqrt(200) - sqrt(200)) - sqrt(200))*5) + 1 + 4.\nAnswer: -9*sqrt(13)\/25 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0 + 1. Let j = -2898 + 2898.06. Which is the closest to 1\/2?  (a) 5  (b) j  (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-4)\/(-3)*66\/264\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 less than 621.7598?\nAnswer: 624.7598","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 124, 256, 398, 550, 712, 884?\n\"Answer: 5*d**2 + 117*d + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1243572 and 2772.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = 2*o**3 - 3*o - 4. Let j(u) = -53*u - 122. Calculate the remainder when j(-10) is divided by b(3).\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 22*u = -2*p - 24782 + 24834, 3*u + 0*p - 5*p - 102 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 28*g - 2*g + 195*g - 11849 = -68*g for g.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = -71*f + 9. Let g(y) = 154*y - 19. Let n(d) = -13*a(d) - 6*g(d). Let o(v) = 1 - 2 + 2. What is n(j) - o(j)?\nAnswer: -j - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -2\/255 and -2\/255.\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 115*z**2 - 911*z + 40*z + 0*z**3 + 8*z + 332*z + 1 - 4*z**3 wrt z.\nAnswer: -24*z + 230","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -1 + 1. Let q(z) = 6*z**2 - 47*z + 39. Let f be q(7). Solve 2*t + f = -c*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in -48, 0.09, 0, 0.02, -0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = -2*n - 5. Let v be t(-6). Suppose -i = 5*h + 2*i - 18, -h - 10 = 4*i. Suppose -h*r = -v*r + 13. Solve 5 = 3*z - q - r, 2*z = 3*q + 19 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -519 = -24*n - 3*k, 4425 - 4406 = n + k for n.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-13 - 7 + 8)*(20*d - 27 + 27).\nAnswer: -240*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 0 + -12. Let l = -10 - a. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 3935?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 38165\/6744 + -33\/281. Find the common denominator of v and 55\/18.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 10 divide 2660?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is one fifth of a gram in milligrams?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from uuzallucua. Give prob of sequence laul.\nAnswer: 1\/315","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 0 - -1 - (-225)\/((-30)\/(-6)). Suppose y + 7*s = 6*s + m, 5*y - 265 = 2*s. Calculate the remainder when 197 is divided by y.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 582507587 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 218 - 212. Suppose -2*u - r + 13 = w, 4*r + 7 = -u. Suppose -35 = k - 2*k. What is the highest common factor of k and u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) be the third derivative of -x**8\/336 + 11*x**4\/24 + 8*x**2. What is the second derivative of c(i) wrt i?\nAnswer: -20*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1644 and 71103.\nAnswer: 411","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*x = -3*x - 15. Let y(n) = -n - 11. Calculate y(x).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -7 - (-10 + -56242 + 12) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -2\/11, -0.1, -76, -3, 15\/13?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = 7*y - 120. Let o(s) = 4*s + 2. Let z(g) = -k(g) - o(g). What is z(10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = -3*m**2 - 7. Let n(j) = 4*j - 2. Give c(n(f)).\nAnswer: -48*f**2 + 48*f - 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -240 - -341. Calculate the remainder when i is divided by 26.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -883 - -1201. Does 37 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 46 + -4302235?\nAnswer: -4302167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.874136 meters in millimeters?\nAnswer: 1874.136","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {f: 1, o: 1, a: 1, p: 1, q: 1}. Give prob of picking 1 o, 1 f, and 1 q.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 1234 a factor of 832643968?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1870076, -1870079, -1870084, -1870091, -1870100, -1870111, -1870124?\nAnswer: -1870139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange m**3 + 164 + 161 + 11*m - 479 - 2*m**2 + 156 to the form f*m**3 + j + t*m**2 + x*m and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 r when four letters picked without replacement from rnrrrrnn?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v - 116 = -5*q + 3*v, 0 = -4*v - 16. Solve -q = -0*m + 4*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j - 3*j + 5 = 0. Let f(u) = u**2 - 10*u + 3. Let d be f(j). What is the third derivative of 12*v**4 + 78*v - d*v + 8*v**2 wrt v?\nAnswer: 288*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) be the second derivative of -1\/3*w**4 + 0*w**2 + 0 - 1\/3*w**3 + 4*w. Find the second derivative of f(l) wrt l.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) be the first derivative of -3*t**3 - 42. Let b(z) = -2*z. Let g(l) = -l**2 - l. Let f(q) = b(q) - 2*g(q). Determine v(f(s)).\nAnswer: -36*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -85*r - 411*r - 70006 = 19*r - 12841 for r.\nAnswer: -111","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = 13*d**3 - 2*d**2 + 4*d. Let k(g) = -7963*g - 6*g**2 + 7966*g + 5*g**2 + 12*g**3. What is -4*k(o) + 3*q(o)?\nAnswer: -9*o**3 - 2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence kso when three letters picked without replacement from {k: 8, o: 2, r: 1, u: 6, s: 1}?\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = -2*b + b - 4*w, -5 = 5*b + 2*w. Let i(f) = -f. Let o(r) = -9*r**2 - r - 2. Let j(a) = b*i(a) - o(a). What are the prime factors of j(-2)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) be the second derivative of m**6\/345 - m**5\/115 + 2*m**3\/69 - m**2\/23 - 2*m - 11. Determine o, given that r(o) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -104.554 or 14?\nAnswer: -104.554","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = -5*u - 5*u**2 + 3*u - u + u**3 - 1. Suppose -b = 2*s - 17, -b = 4*s - 0*b - 29. What is the units digit of m(s)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -131\/1103376 and 1\/2848.\nAnswer: 196400928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 6718873355 to the power of 1\/6, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -204480 = -1408*f + 1388*f. Does 18 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 20.6 or 951652?\nAnswer: 951652","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 67 + -92?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -103*o + 82*o + 63 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = 1 - 4*j**2 + 7 - 3 + j + j**2. Let b(k) = -2*k**2 + k + 3. Let c(i) = -i**3 - 17*i**2 + 10*i + 166. Let w be c(-17). Calculate w*p(h) + 7*b(h).\nAnswer: -2*h**2 + 3*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -71076*s + 35456*s + 35620*s - s**2.\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Express (-9*l**3 + 5*l**3 + 0*l**3)*(-18 - 16 + 12) in the form m*l**3 + w*l + c + v*l**2 and give m.\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 c, 2 r, and 1 q when four letters picked without replacement from rqrqcrq?\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 90.98517 tonnes?\nAnswer: 90985.17","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-14)\/16*(-378)\/441. Let l(d) be the first derivative of 0*d - 3\/2*d**2 - n*d**4 + 2*d**3 - 4. Suppose l(k) = 0. What is k?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 z and 2 x when three letters picked without replacement from {x: 4, z: 4, a: 8, c: 1, n: 2}.\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 1.9, -0.74, 3, -0.4, 87?\nAnswer: 1.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Put -2\/5, 99342, -0.1, 54, -0.3 in decreasing order.\nAnswer: 99342, 54, -0.1, -0.3, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1117107 to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = -691*w - 68393. What is n(-99)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 49619.2 centuries?\nAnswer: 496192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 14546, 29108, 43674, 58244?\n\"Answer: 2*u**2 + 14556*u - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 123 minutes before 5:18 AM?\nAnswer: 3:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 617 minutes before 3:32 PM?\nAnswer: 5:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*i - 4*i - u + 404, 2*i - 788 = 3*u. What is the highest common factor of i and 136?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 362*d = 408*d - 362618. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of ((-4)\/(16\/(-123)))\/(3\/76).\nAnswer: 19, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 164349 by -6087.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth biggest value in 15, -2, -5, 3, 872, -3, 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 108378765 to the nearest integer?\nAnswer: 477","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1412 and 397004?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -181*n**5 - 63336*n?\nAnswer: -3620*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = f**3 + 27*f**2 - 89*f + 38. Let b be n(-30). Suppose -2*h - b*h = -20. Solve h*m = 4*a + 18, -3*m - 4*a + 9 = -a for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) be the third derivative of -5\/24*f**6 + 0*f**3 + 1\/4*f**5 + 1\/42*f**7 - 15*f**2 + 5\/336*f**8 + 0 + 0*f + 0*f**4. Factor i(w).\nAnswer: 5*w**2*(w - 1)**2*(w + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 a when four letters picked without replacement from {g: 8, a: 5}.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -60 = 4*u + 4*z, -67*u + 35*u + 26*u + 2*z = -30 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c - 689 + 688 = 0. Let a be (-2086)\/(-447) - c\/(6\/(-4)). Solve k - a = -5 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = -3*h**3 - 6*h**2 - 2*h. Let b be l(-2). Differentiate 3*r**4 - 8*r**4 + 1 + 0 - 10*r**b with respect to r.\nAnswer: -60*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = -z**2 + 7*z + 2. Let v be b(7). Let c be (-427)\/(-14) - (-6)\/4. Suppose c - 15 = -17*l. Put v, -2\/11, l in descending order.\nAnswer: v, -2\/11, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 62*a - 16932*a**3 + 40616*a**3 - 62*a + 25684*a**3.\nAnswer: 49368*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3*d + 4*d**4 - 7*d**4 + d**3 - d to h + x*d + r*d**3 + y*d**2 + j*d**4 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of ((-5)\/(-10))\/((-1)\/(-164))?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -5188 - -5188. Put -71, 1, t, 3 in ascending order.\nAnswer: -71, t, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 53691564 + 23067584. Suppose 3*s - l = -5389148. What is s rounded to the nearest one million?\nAnswer: 24000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((b*b**(-3)*b*b)\/(b\/(b**(-2)*b)))\/(b**(-2\/9))**(-15))\/((b*b\/b**(-9))\/((b**(-1)*b)\/b))**30 assuming b is positive.\nAnswer: b**(-1096\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 41 divided by -50190?\nAnswer: -41\/50190","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1420 + -1410. Solve -5*k - 40 = -m for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = -4*b - 2 + 5 - 10. Let d(v) be the first derivative of v**2\/2 + v + 62. What is 5*d(q) + x(q)?\nAnswer: q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -9 - -11?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -74*j - 41*j + 15*j + 5*j = 0. Let v = -2 + 8. Solve j = -4*r + 2 + v for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -7 * 879.516.\nAnswer: -6156.612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 459220 and 7620?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = 10*z + 32. What is x(5)?\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3672 is divided by 3656.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Convert 465 (base 12) to base 3.\nAnswer: 220012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 292893152 divided by 1528\nAnswer: 191684","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 30 a factor of 810900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify q*q**(-1\/2)*q**(2\/11)*q*(q*q**(-2\/7))**(3\/41)*(q**1)**(-2\/109)\/((q*q**(-5))\/q**7) assuming q is positive.\nAnswer: q**(8751299\/688226)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*w = -g + 15, 3*w = -2*g - 3*g - 15 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand 1 + 2*n - 1 - 2*n + 5*n - 4*n + (-5 + 4 + 0)*(n - 2*n - n) + 0*n + 0*n + n + 128*n + 2023 - 2023 - 6 + 6 - 4*n.\nAnswer: 128*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 45, 43, 39, 33?\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q + 13 = 11. Solve r + 15 = -q*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3421 is divided by 122.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 5 - 4)*(-c - c**3 + c) + 2*c - 2*c - 2*c**3 + (2*c**2 - c**3 - 2*c**2)*(0 + 1 + 0) + 18*c**3 - 21*c**3 + 10*c**3.\nAnswer: 3*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 213921 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 2\/15, -17, 0.808, 104\/9?\nAnswer: 104\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 0.3  (b) -50  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1736?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3*i**2 + 0 + 0)*(29*i**2 + 2135 - 2135 + (2*i - 3*i + 0*i)*(i + 3*i - 2*i)) in the form b*i**3 + c*i + m + n*i**2 + v*i**4 and give v.\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 29916861.\nAnswer: 3, 13, 643, 1193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 487985?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 15828*o**3 + 15972 wrt o?\nAnswer: 47484*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) be the first derivative of -t**3\/2 - 63*t**2\/4 - 2. Factor b(k).\nAnswer: -3*k*(k + 21)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2.21231 take away -5957?\nAnswer: 5954.78769","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -560 = -2*p + g - 117, -p + 226 = -5*g. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -10001001000110 - -1?\nAnswer: -10001001000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u - 134526 + 53708 = 0. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = 6*z - 51. Let i be q(9). Suppose i*j - 110 = 181. Calculate the remainder when j is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 7329 and 69205304?\nAnswer: 2443","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.3772 rounded to two decimal places?\nAnswer: 0.38","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Does 6 divide 121251?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -17 - -50. Suppose 0 = -3*k - 5*p + a, 0 = 6*k - 3*k + 2*p - 24. What is the third derivative of k*s**4 - 2*s**4 - 6*s**4 + 3*s**2 wrt s?\nAnswer: -48*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = 1 + 2 + 2 - h + 5. Let c be l(10). Factor 10*a - 13*a**2 + 0*a + 48*a**2 + 15*a**3 + c*a.\nAnswer: 5*a*(a + 2)*(3*a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 99*h**3 - 194*h**3 + 74*h**3 + (-4 + 4 + h**2)*(-4*h + 5*h - 2*h).\nAnswer: -22*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 10 - (-2 + 11) - (8 - ((6 - -2) + -1)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:00 AM and 2:23 PM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*y + 2*i - 0*i + 22, -y + 2*i + 7 = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 (base 14) in base 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of (-237)\/16*7\/(-21) and -49\/38.\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 21*x - 7*x**2 + 14*x**2 - 10*x**2 to d*x**2 + f*x + h and give f.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 11644758 + -135?\nAnswer: 11644623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i = -5*w + 12, -i - 4*w + 7 = 1. Let o(d) = -d**3 + 13*d**2 + 31*d - 11. Let s be o(15). Put s, -5, i, -3 in ascending order.\nAnswer: -5, -3, i, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -59 + 52 - ((-1 - -1) + 1 + 2).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 8\/3810*(-8175)\/(-1090)\nAnswer: 2\/127","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 46861530 rounded to the nearest 10000?\nAnswer: 46860000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 308, 1299, 2976, 5339, 8388, 12123?\nAnswer: 16544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 2 + -38*(-4)\/(-64) and -11\/20?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together 0.3 and -5858260321167.\nAnswer: -5858260321166.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify p**(-4\/13)*p\/(p\/(p\/((p\/p**14)\/p)*p)) assuming p is positive.\nAnswer: p**(204\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.2 and -0.18580478.\nAnswer: 0.037160956","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Does 4 divide 228?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2089 (base 12) to base 14.\nAnswer: -1425","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((3*(sqrt(190) + (sqrt(190) - sqrt(190)*2)) - sqrt(190)) + 1*sqrt(190)*6)\/(sqrt(90)\/(sqrt(72)\/sqrt(72) - sqrt(9))).\nAnswer: -10*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 541421843 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -181.6 + 182. Which is the biggest value?  (a) h  (b) 0  (c) 18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r**3\/6 + 1595*r**2\/3 + 69212*r\/3 = 0. Calculate r.\nAnswer: -3146, -44, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 l and 1 i when two letters picked without replacement from {z: 1, i: 1, l: 1, f: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = -z**2 + 4*z. Let u be m(4). Suppose 0 = 3*l - c - u*c - 162, 3*l = -4*c + 162. Let t be (4\/6)\/(1\/l). Calculate the highest common divisor of t and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -15 + 0 + 2 + (-72 - -46 - -42 - 27).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -58368 divided by -304.\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 23273.\nAnswer: 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -65\/99 and 2\/(12\/30) + 1\/(-72)*365?\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5991 a factor of 2358200934?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 231 minutes after 8:54 PM?\nAnswer: 12:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.36 - -1.24. Let l = -5.6 + y. Which is the smallest value?  (a) l  (b) 0.4  (c) -26\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2329*z**2 + 5826*z**2 - 1752*z**2 - 1745*z**2 + 20*z**3.\nAnswer: 20*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -6 + 11. Suppose 3*p = -5*c - p + 45, -p = -2*c + a. Suppose m = 12 - c. Is 7 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -77 + 84. Suppose -5*m + 280 = -5*a, -o = a - 5*m + 65. Is a at most -51?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 1 and 69\/4112 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k - 18 = -4*a + 30, -3*k - 5*a + 51 = 0. What is the units digit of (-174)\/(-8) - k\/16?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 3\/25 of a millennium?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = -a + 1. Let v(u) = -5*u**2 + 5*u - 5. Let m(g) = g**2. Let w(j) = -3*m(j) - v(j). Calculate -5*t(k) + w(k).\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*t + 3*m, 4*t + 5 = 2*m + 35. Let y(z) = -33*z - 3597. Let c be y(-109). Sort t, 17, c in ascending order.\nAnswer: c, t, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = g**3 + 3*g**2 - 2*g + 3. Give c(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -0.07 + -0.11. Let y = g + -0.22. Which is the closest to -2\/17?  (a) y  (b) -1\/2  (c) -5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 334 and 3\/((-18)\/15)*(-72)\/18?\nAnswer: 1670","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5883*v - 27 + 5883*v - 4*v**3.\nAnswer: -4*v**3 - 27","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = -v - 3*v - 4*v + v. Let s(r) = r + 6. Let p be s(-5). What is o(p)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -787378730 to the nearest 1000000.\nAnswer: -787000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) be the first derivative of b**4\/4 - 2*b**3\/3 + b**2 + 4*b - 1996. Let z(d) = -3*d**3 + 7*d**2 - 6*d - 11. What is 7*l(m) + 2*z(m)?\nAnswer: m**3 + 2*m + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 61\/4 of a litre?\nAnswer: 15250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11*r - 31 = -20*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Express ((4*a + 2*a - 4*a)*(339 - 592 + 306) + 0*a + 4*a - 3*a)*(-8*a + 3 - 3) as i*a + w*a**2 + b and give w.\nAnswer: -856","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-4)\/7)\/(86\/(-301)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -426 by -6.\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 1718*f + 60074 + 36134 for f.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = 95*z - 192. Let x be t(2). What is the second biggest value in x, 147\/2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = 23*k + 28. Let a be m(-1). Let q(o) = 2*o + 6. Let l(j) = -2*j - 7. Give a*q(g) + 4*l(g).\nAnswer: 2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = -6*n**2 - 10*n + 17. Let s be y(10). Let x = s - -687. Put -39, -1, x in descending order.\nAnswer: x, -1, -39","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -a + 5*a - 3*a - 6*a + a + 6*a + 6*a - 3*a + 2*a + (-2 + 2 + 2)*(0*a + 2*a - 3*a) + a - 6*a + 3*a in the form t*a + c and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"}
{"text":"Question: What is 943 divided by 74?\nAnswer: 943\/74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 37781 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: What is prob of sequence kxqq when four letters picked without replacement from xxqxxxxqkxkxxx?\nAnswer: 5\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 7926, 15880, 23866, 31896, 39982, 48136?\nAnswer: 56370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = -22118*o - 3783. Is b(-17) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify k**(-12)*k*k**(-5\/13)*k assuming k is positive.\nAnswer: k**(-135\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 - (-1 - (1 + -4)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-2*sqrt(180) + sqrt(180) + -5)*-2 + (0 + sqrt(5)*-3 - sqrt(720)*-4))**2.\nAnswer: 1140*sqrt(5) + 16345","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert -91cd (base 15) to base 14.\nAnswer: -b317","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.4 and 22.\nAnswer: -8.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 a and 1 r when two letters picked without replacement from {j: 3, a: 6, o: 2, r: 2, u: 1}?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 937 is divided by 136?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from yyflyyybyybyyyyyy. Give prob of picking 2 y.\nAnswer: 39\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1154.7 + 1109. Let f = -45 - g. Let c = -2.75 + f. Round c to 1 dp.\nAnswer: -2.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let t = -8.657 - -8.8. Let v = 13.543 - t. Let q = 7 - v. What is q rounded to the nearest integer?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g = 5*n - 3565, -g + 2279 = 4*n - 598. Let x = -762 + n. Which is greater: x or -37?\nAnswer: -37","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = -6*w**2 - 1 - 19826*w**3 - 12 + 3 + 9*w + w**2. Let d be (-1 - 0)\/((-1)\/(-7)). Let p be i(d). What is p rounded to the nearest one million?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 180*r - 76*r + 2496 = 0 for r.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -5  (b) -4  (c) -300  (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 439306 or 439305?\nAnswer: 439305","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 40 minutes before 11:42 AM?\nAnswer: 11:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-732023625)\/54 - (-21)\/378 - (0 - -7). Round p to the nearest 100000.\nAnswer: -13600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 198 to the power of 1\/2, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from bbbbee. Give prob of picking 4 b.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = -5691*u - 71. Is x(-3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-1 + 0 + 3)*(m + 0*m - 2*m)*(-m**3 + 3*m**3 - 4*m**3)*(-1 + 1 - 1) to the form d*m**4 + p*m**3 + f*m + q + c*m**2 and give d.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = -47*i**3 + 2*i**2 + 267*i + 3. Let m(y) = 47*y**3 - 3*y**2 - 268*y - 4. Let c(o) = 3*m(o) + 4*v(o). Find the second derivative of c(s) wrt s.\nAnswer: -282*s - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 524 minutes before 2:16 PM?\nAnswer: 5:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 1438717738 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round 20.36 to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 16116*h**3*s**3 + 34*h**3*s + 5*h**2*s - 5*h + s wrt s?\nAnswer: 96696*h**3*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 752 + -9b?\nAnswer: 684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = -j**3 + 2*j**2 + 2*j + 1. Let i be y(-1). Find the third derivative of -2*c**i - 2*c**5 - c**2 + 2*c**5 + 2*c**6 wrt c.\nAnswer: 240*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 10, 19, 28, 37?\n\"Answer: 9*b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -180 + 306. What is the tens digit of n\/(-2)*(-7)\/21?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (45\/275)\/(960\/6400)?\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = 6*z - 6. Let v(w) = -w + 1. Suppose 0 = -5*s + 383 - 143. Suppose -5*j + 11*j = s. Let n be (-2)\/(-6) + j*(-6)\/(-72). Calculate n*x(u) + 4*v(u).\nAnswer: 2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.19 + 0.71. What is the closest to p in -1\/5, -1, -5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = -2*a - 1. Let j be z(4). Let y be 6\/(-27) + (-20)\/j. Suppose -54 = -y*l - 2*p, 3*l - 17 = 3*p + 58. Does 13 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = p**3 + 2*p**2 - 2*p - 5. Give s(-3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-21*z**2 - 12*z**2 - 3*z**2)*(-253 + 253 - 11*z)*(-z + z + z) to the form d*z**4 + r + v*z**2 + s*z**3 + l*z and give d.\nAnswer: 396","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 127109 to the power of 1\/2, to the nearest integer?\nAnswer: 357","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) be the first derivative of -1\/2*t**3 - 1\/4*t**4 - 1\/20*t**5 - 1\/2*t**2 - 1\/4*t - 12. Factor z(x).\nAnswer: -(x + 1)**4\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 21 and 6932793?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v + 3 = -1. Let y = 6750 - 4029. Suppose v*n = 3*f - y, -2*f - 3*f - 3*n = -4535. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 20377 (base 8) to base 11\nAnswer: 638a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round 216554209 to the nearest one million.\nAnswer: 217000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 190253 is divided by 63417.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is -6099\/88705 != 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -443 = -3*n + 586. Let w = n - -136. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*k - k + k)*(10*k - 14*k - 21*k).\nAnswer: -50*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 421632\/183 - 1\/(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = p**3 + 14*p**2 + 25*p - 68. Determine i(-11).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) be the second derivative of -b**4\/12 + 2*b. Let f(k) be the second derivative of k**4\/6 + k**3\/6 - 3*k**2\/2 - 24*k. Determine f(t) + g(t).\nAnswer: t**2 + t - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -116 + 66. Let t = b + 354. Is 43 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -12102120 + -11?\nAnswer: -12102201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 31427?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (47 + -44)*(6 - 220\/36)*153.\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -0.01 - -0.0100025. Round a to six decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 37 a factor of 1 + -3 + 2080 + -6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 329, 660, 977, 1274, 1545, 1784?\nAnswer: 1985","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 51167678 and 47?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -253 + 106 + 26*x + 123.\nAnswer: 26*x - 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z = -4*t - 16, 4*z - 2*t + 29 = -7*t. Let l(w) = 12*w. Let b(v) = -v. Let d(j) = -8*b(j) - l(j). What is d(z)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-171)\/(-63) - 2\/(-7). Suppose -r*x - 53 = -3*f + 2*x, -5*x = f - 31. Suppose -4*m = 3*z + 3, 3*z - f = -2*m + 6*z. Solve m*d + 6 + 0 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1110111100101001 (base 2) to base 13\nAnswer: 21b38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 205962 to the power of 1\/2, to the nearest integer?\nAnswer: 454","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {z: 1, i: 1, w: 3, p: 4, o: 2, b: 1}. Give prob of sequence wbiw.\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6 - 3 - 1)*(12*g**3 + 43*g**3 + 8*g**3) + g**3 + 0*g**2 + 0*g**2 + (2*g**2 + 0*g**2 + 0*g**2)*(4 - 4 + 2*g) - 2*g + 2*g**3 + 2*g.\nAnswer: 133*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 61 - 5?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -2586 - -1724. Let g = 258 - n. List the prime factors of g.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) be the third derivative of -k**7\/315 + k**6\/180 + k**5\/30 - k**4\/36 - 2*k**3\/9 + 10*k**2. Determine p, given that j(p) = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -4*s**4 + 6*s**4 - 4*s**4 + (-4 + 2*s + 4)*(s - s - 2*s**3)*(-2 - 1 - 1)*(-3 + 0 + 2) to h*s**4 + v*s + u*s**3 + n*s**2 + k and give h.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Put -128, 0.3, -2 in decreasing order.\nAnswer: 0.3, -2, -128","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:19 AM and 1:37 PM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-one halves of a kilogram in grams?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s + s = 106. Let h = 159 - 136. Let o = s - h. Is o a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2*3.9.\nAnswer: 7.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -18893212 divided by -598?\nAnswer: 31594","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*u**5 - 6*u**5 + 3*u**5 + (-3 + 3 + u)*(-u - u**4 + u) + 0*u**5 + 4*u**5 - u**5 - 103 + 103 + 14*u**5 + 0*u**3 - 2*u**5 + 0*u**3.\nAnswer: 13*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: (-1)\/(-3) - (-2)\/(-10)*80\/96\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 21*f - z - 35 = 13*f, 0 = -3*f - 3*z + 3 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l\/(l**(-15)\/l))**19 assuming l is positive.\nAnswer: l**323","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -132 divided by -33?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 155753, 311770, 467787, 623804, 779821?\n\"Answer: 156017*b - 264","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*h - 4, h - 2*h - 1623 + 1549 = 4*m for m.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-4)\/26 + 6732\/156. Suppose 0 = a*v - 8084 - 13588. Calculate the highest common divisor of v and 63.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 z when three letters picked without replacement from {z: 3, o: 7}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -59 - -67. Suppose 2*x - 252 = j, 4*x = -3*j + j - 528. What is the remainder when (-1)\/(-3 - j\/87) is divided by d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 771 + -120. Suppose -5*t + 0*t - 4*r = -648, -5*t - 3*r + u = 0. What is the greatest common divisor of 12 and t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = -m**3 + 10*m**2 - 16*m + 9. Does 13 divide s(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-five eighths of a millennium in months?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) be the second derivative of t**5\/15 - 23*t**4\/24 - 3*t**3\/2 + 9*t. Let c(h) be the second derivative of w(h). What is the tens digit of c(8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (8\/22)\/(84\/(-462))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*b**2 + 188*b + 1272.\nAnswer: -4*(b - 53)*(b + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -52?  (a) -0.1  (b) -1  (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {j: 2, f: 4, k: 1, r: 4, u: 3}. Give prob of picking 1 f and 2 r.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 394 - 1184\/3. What is the nearest to 1 in 0.41, -4, x, -1\/4?\nAnswer: 0.41","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 18533991 is divided by 99.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 78080837 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2*r**4 + 42*r**3 + 265*r**2 - 2 wrt r?\nAnswer: 48*r + 252","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = -21*q**2 + 9*q - 25. Let s(m) = 132*m**2 - 56*m + 150. Let u(d) = -25*a(d) - 4*s(d). Determine u(-6).\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = 44922*b**2 + 116*b - 367. Is c(3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (1342\/4 - (9 - 4))*2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**(-4\/9))**17*((v\/(v\/(v\/(v**(7\/9)\/v)*v)))\/v)**(-20) assuming v is positive.\nAnswer: v**(-32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 1672, 1693, 1700, 1687, 1648, 1577?\n\"Answer: -u**3 - u**2 + 31*u + 1643","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = h + 3. Let f be n(-1). What is the tens digit of f - (3 - (1 - 2)) - -71?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) -120\/17  (b) -4\/9  (c) -5  (d) 0  (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = -1563*c**3 - 15*c**2 - 5*c + 1059. Let g(h) = 782*h**3 + 6*h**2 + 2*h - 529. Let p(s) = 5*g(s) + 2*l(s). What is the first derivative of p(q) wrt q?\nAnswer: 2352*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) be the second derivative of -2*f**3\/3 + 37*f. Let v(q) = 10*q**2. Calculate i(v(y)).\nAnswer: -40*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -1b49b9 (base 16) to base 15\nAnswer: -254d30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = z**2 - 3*z + 44. Determine k(5).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -8032.00007658 + 8032. Round d to five dps.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = -w + 4. Let s be f(0). Suppose -8365 = -3*n - s*n. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -28.800263 - -28.8. What is x rounded to 4 dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 117 + -112. Let g(u) = -2*u**2 + 5*u + 5. What is g(j)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.89348937 to three dps.\nAnswer: -0.893","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u + 0 = -i - 3, 18 = 5*u + i. Calculate the remainder when 5 is divided by (1\/3)\/(u\/18).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3 * -46685134\nAnswer: 140055402","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 14  (b) 0.5  (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is four sevenths of a week in days?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 1\/3, -0.9, -239, -1, 2\/7, -1\/25?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2703*o - 1227 + 2702*o + 616 - 3027 to the form x + t*o and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1 - (-49 - -34)) + -62 + 2?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*q - 20 = 5*m, 5*q - 21 = -3*m - 33 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = -m**2 + 22*m + 33. Let k be r(22). Calculate the highest common factor of k and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -62, -50, -34, -14?\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 3*((-8)\/3 + 2). Let b(t) = -11*t + 1. Is b(p) a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add -14144513.16 and 175.\nAnswer: -14144338.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = 2*j**2 - 20*j - 6. Determine g(5).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is p in 2*p**3 + 26*p**2 + 24*p = 0?\nAnswer: -12, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 482408?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-1)\/1 + -6*7\/(-42). Factor 6\/7*u**5 - 2\/7*u**3 + 0 - 4\/7*u**4 + 0*u + g*u**2.\nAnswer: 2*u**3*(u - 1)*(3*u + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 37892.52 - 25022.\nAnswer: 12870.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"}
{"text":"Question: What is 3\/25 of a meter in millimeters?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 5 - 3. Let c(i) = 2*i - 2*i**2 + i + 5*i**z. Give c(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*g - 2*j + 26, 3*j - 5 = -g + 14. Let n(b) = b**2 + 5*b + 1. Let f be n(-7). Solve -h + f = -g*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -16 * 1851026\nAnswer: -29616416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 12 and 119382825.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*f**4 + 44*f**3 - 202*f**2 + 156*f.\nAnswer: 2*f*(f - 3)*(f - 1)*(f + 26)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = a**2 - 52*a + 473. Let o be z(40). Let p(j) = -j**3 - 9*j**2 - 7*j + 4. Let k(c) = c**3 + 9*c**2 + 6*c - 4. Let d(m) = -2*k(m) - 3*p(m). Give d(o).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = 8*d - 4. Let s be j(3). What is the highest common factor of 160 and s?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -168 - -172. Suppose -2*t - 18 = -16. Sort 0, b, 3, t in ascending order.\nAnswer: t, 0, 3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = 31*z + 31. What is c(-3)?\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -x**2 - 3 - 101470*x + 101471*x - 5*x**3 - 29 + x**2 to the form b + k*x**3 + z*x + n*x**2 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 10557.88 milligrams?\nAnswer: 0.01055788","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 19070205 to the power of 1\/2, to the nearest integer?\nAnswer: 4367","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1, -4, -7, -10, -13?\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = -2*k + 2. Calculate n(5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -742 and -1?\nAnswer: 742","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -31 = -5*k + n + 2*n, 2*k - 3*n = 16. What is the remainder when 14 is divided by (2 - k) + 11\/1?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i = 2*p + 6*i - 44, -5*p = -3*i - 175. What are the prime factors of 0 - (p + -3)*-1?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 192 is divided by 192?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) be the second derivative of -t**5\/60 + t**4\/24 - 3*t**2\/2 + 3*t. Let s(j) be the first derivative of z(j). Let s(c) = 0. Calculate c.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*l + 6*l = 2*y + 12, -2*l = -3*y - 14 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) be the second derivative of 19*b**8\/56 - 8*b**4\/3 - 36*b. Find the third derivative of m(k) wrt k.\nAnswer: 2280*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 1\/20 of a meter?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -634357, -634342, -634327?\n\"Answer: 15*c - 634372","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 16\/15 of a minute in milliseconds?\nAnswer: 64000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12 = 5*j - 7*j. What is the tens digit of j\/(-21) - (-624)\/21?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -0.2  (b) 0.5  (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d - 47 + 57 = 0. Suppose -59 = -d*k + 696. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -55\/126 and (333\/18 - 19) + (-173)\/(-180).\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 - 1 + 5)*(-6*h + h + 3*h) - 2*h - 4 + 4 + 0 - 2*h + 0 + (5 - 5 - 2)*(2*h - 1 + 1) - h + 0 + 0 - 2*h + 0*h + h + (0 - 3 - 11)*(-h - 2*h + h).\nAnswer: 14*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((-8)\/6)\/(4\/(-6)). Let j(k) = 4*k**r - 2*k + 2*k**2 + 20 + 15*k. Is j(-9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from {s: 4, l: 1, z: 3}.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort 275, 1\/2, -3.\nAnswer: -3, 1\/2, 275","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 107516277 a multiple of 159?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3677 is divided by 1220?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 837709 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {p: 2, d: 1, l: 3, c: 3, y: 1, b: 3}. Give prob of picking 2 b and 1 p.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = -v + 7. Suppose -12*f = -17*f - 30. Calculate x(f).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 divided by 9347.\nAnswer: -2\/9347","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -8096*i**6 - 2815*i**4 + i**2 + 2715*i + 1775.\nAnswer: -971520*i**3 - 67560*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 - 1 + 4 + 2*f)*(-3*f - 501997 + 501997 + 1743*f**2) + (0*f + 0*f + 2*f)*(-2*f**2 + f - f).\nAnswer: 3482*f**3 + 1737*f**2 - 3*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*m**5 + 320*m**4 - 17168*m**3 + 313972*m**2 - 264046*m - 595508.\nAnswer: -2*(m - 53)**3*(m - 2)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = -v**3 + v**2 + v + 184. Let u = 30 - 30. Let a be p(u). Suppose 7*x + x = a. What are the prime factors of x?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -66384 divided by 36\nAnswer: -1844","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -8 - -23. Let s = c - -4. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = -v**2. Let n(j) = -498815*j**2. Give n(z(y)).\nAnswer: -498815*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 13405957 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 3612 and 493836.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1196 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = -n**3 + 13*n**2 + 15*n - 11. Let i be l(14). Let f(t) = 2*t**2 - 32*t - 63. Let p be f(-2). Solve i*r = -0*r + p for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (12 + 1885\/(-156))*(-16 + 31 - 48).\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -5106893*x**4 - 2*x**3 - 2*x**2 + 11262*x - 15.\nAnswer: -122565432*x - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = -v**2 + 8*v + 20. Determine s(12).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x - 14 = -3*u + x, -5*u + 13 = 2*x. Solve 0 = -n - u*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + (2*sqrt(52)*3 + 3*sqrt(468))\/(sqrt(32)\/sqrt(200) - -1*sqrt(16)\/sqrt(4)) + -2.\nAnswer: -1 + 25*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-7936)\/(-186) + 34)*(-3)\/2.\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-84)\/(-42))\/((-15)\/18 + 1).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = p - 3. Suppose -w - 3*o = -2, o = 3*o + 2. Let q be x(w). List the prime factors of (-7)\/(7\/(-12)) - q.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {s: 5, b: 4, p: 3, w: 4}. What is prob of picking 2 b?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -x + x - 4*x - 3*x - x + 5*x + (-3 + 1 + 3)*(0*x + x + x) - x - 3*x + 2*x + 2*x + 2*x + 2*x + x + 0*x + 0*x to the form k + a*x and give a.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = 14*a - 1. Let g be s(-1). Let v = -11 - g. Let f(r) = r**2 + 11*r + 18. Calculate the lowest common multiple of f(-10) and v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 127675.8 - -1.\nAnswer: 127676.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -146 + 153. Let z = 8 + -5. Solve 2*f + 2*u - 1 = 3*f, 0 = 4*f + z*u - t for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -2.91 - 0.09. Let b = -1 + 4. Let k(f) = f**2 - 2*f - 3. Let s be k(b). Put s, -2\/5, h in decreasing order.\nAnswer: s, -2\/5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*d = -2*v + 2*d + 2, 3*v + d - 1 = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (16 + -4 - 0)*12\/9. Suppose 3*m = -5*g + 14, -4*m = 5*g - 1 - r. Let y = -3 + 4. Sort m, y, -3 in increasing order.\nAnswer: -3, y, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*(0 + -1 + (-1 + 4 + -2 + 2 + sqrt(1573)*-1)*-1))**2.\nAnswer: -1408*sqrt(13) + 25424","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 52082 is divided by 26037.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 31 a factor of 98309?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*a = -2*x - 17, 3*x - a + 21133 = 21102 for x.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o + 30 = o. Suppose -3*j + 55 = -4*g, 0*g - o = g - 2*j. Find the common denominator of 23\/10 and 72\/66*2\/g.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in 0.8, -5, -6?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*a + 2 = 3418303*u - 3418301*u, 0 = 3*u + a - 29 for u.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 3230 and 10930.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-8192)\/(-22528)*121\/(-2).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1235379803?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.382335 take away 1.51?\nAnswer: -1.127665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 13415.\nAnswer: 5, 2683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*j - 7*v + 3*v = -98, -4*v = -5*j + 122. What is the lowest common multiple of 10 and j?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 - (2 - (-1 - 3))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*m**5 + 775*m**4 - 1575*m**3 - 775*m**2 + 1570*m = 0. Calculate m.\nAnswer: -157, -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 619649.\nAnswer: 277, 2237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 0.3, 605, 101, -78?\nAnswer: 101","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -49*r**3 - 54*r**3 - 128*r**2 - 57*r**3 + 18*r**2 + 159*r**3.\nAnswer: -r**3 - 110*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -311 - -356 - (2 - ((-21 - -27) + 0 + 3))?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 90493572?\nAnswer: 2, 3, 13, 29, 83, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + (-5*(-2 + (sqrt(128) - 3*4*sqrt(128)) + sqrt(128) + (sqrt(128) - (sqrt(128) + (-6*sqrt(128)*-2 - sqrt(128)) - sqrt(128))) + -1))**2.\nAnswer: 24000*sqrt(2) + 1280220","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 551.\nAnswer: 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1051620382?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ttnctccmtn. Give prob of picking 1 m and 1 n.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) be the first derivative of -z**2\/2 - 1. Let x(l) = l**2 + 2*l. Let y be x(-4). Let s(f) = -y*f**2 + 1 + 7*f**2 - 1. Determine s(g(i)).\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 226 - 159. Suppose 10*c - 63 - x = 0. What is the greatest common factor of c and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 32 and 260.\nAnswer: 2080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-931)\/77 - -12)*(4 + -7).\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*z**4 - 1874*z**3 + 13040*z**2 - 18600*z.\nAnswer: 2*z*(z - 930)*(z - 5)*(z - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 18778910?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 22 - 19. Suppose 3*s = -9, 3*d - 3*s - b = 9. Solve w - d = 1 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 67024 + 4?\nAnswer: 67028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1487, 2619, 13767, 35479, 71277, 124683?\nAnswer: 199219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 214958 and 24?\nAnswer: 2579496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 51 + -46. Let g be -18*((-6)\/8)\/3. Does o = g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 243 a factor of 106462422?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -132270 = 9240*a - 982350 for a.\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-40)\/25)\/4*10\/22.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k = -6*d + 2*d - 167, 5*d - 3*k = -196. Let x = 175 + -104. Let v = d + x. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 78*(-1)\/(-2) - 56\/(-14). Solve 0 = -q*p + 32*p - 44 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -q**2 + 8*q**2 + 9*q**2 + (-6*q + 3*q + 4*q)*(2*q - 5*q + 5*q) + q**2 - 2*q**2 + 0*q**2.\nAnswer: 17*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: (((-4)\/184)\/(18\/(-120)*-10))\/(1\/(-6))\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 0+-3647254\nAnswer: -3647254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -0.1, -0.2, -67, 4.\nAnswer: -67, -3, -0.2, -0.1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -112333, -109912, -107489, -105064?\n\"Answer: z**2 + 2418*z - 114752","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(208) + sqrt(208) + 0 + sqrt(208) + 3 + -2 + 1*(sqrt(13) + 1) + sqrt(13))*-1.\nAnswer: -14*sqrt(13) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 - 4 = -4*c + 5*s, -5*c - 4*s + 5 = 0. Let o be 2\/66*6\/c. Solve -4\/11*x**2 + 0*x**3 + o + 0*x + 2\/11*x**4 = 0 for x.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -d + 0*d - 4*k + 1 - 2 = 0, 5*k = 5 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*h - 2*n + 214, -353*n - 110 = -2*h - 355*n. Solve h = -14*y - 18 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*a**3 + 2*a**3 + 2*a**3)*(-3*a**2 - 2*a**2 + 2*a**2) - 3*a**5 + 3*a**5 + 2*a**5 + (-5*a**5 + 2*a**5 + 2*a**5)*(1 + 2 - 2).\nAnswer: 4*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 26 + -9. Suppose -k + 7 = -d. Suppose 18 = -j - 4*q, -4*j + k = -2*j - 4*q. Solve c = -j*c + 15 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -2.94 - -3.14. Sort -1, m, -5 in descending order.\nAnswer: m, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 9 - 0. Solve -3*s = 5*f - v, -4*s - 2*f - 6 + 18 = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = 101*f - 1189. What is t(12)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x - 6 = -2. Let w = 4.1 - 4. Let l = -222 - -221.9. What is the closest to w in l, x, 0.4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 19486998?\nAnswer: 2, 3, 17, 43, 1481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2*t**5 - 2*t**4 + 5779*t**3 - 13*t**2 + 236*t - 3 wrt t?\nAnswer: -120*t**2 - 48*t + 34674","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2021*z**2 + 2057*z**2 - 4080*z**2.\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = -h**3 + 2*h**2 - h - 2. Suppose 3*n + 8 = n, 5*n = 3*k + 40. Let z = k + 22. Determine a(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u + 36 = -3*a, 0 = 4*a - 2*u + 3*u + 36. Let p = a - -85. What are the prime factors of p?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t + 45 = -0. Calculate the common denominator of (-2 - -19)*t\/(-24) and -54\/11.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -29729 divided by 29729\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*k = -3*k - 13*k + 355134. What is the ten thousands digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*l**3 + 20*l**2 + 46*l + 28.\nAnswer: 2*(l + 1)*(l + 2)*(l + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 35 a factor of 2469880700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -46 - -16. Let m be ((-6)\/1)\/((-45)\/k). Let d = m - -10. What are the prime factors of d?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -13\/212 and -75\/28.\nAnswer: 1484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 5285, 6592, 8701, 11618, 15349, 19900?\n\"Answer: x**3 + 395*x**2 + 115*x + 4774","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 3\/10 of a day?\nAnswer: 25920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2671924?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.9?  (a) -0.1  (b) -0.2  (c) -3  (d) 1  (e) -31.28\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is -141125 > -141123?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 3909*0.4\nAnswer: 1563.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = 2*c**2 - 3*c - 4. Suppose 4*f - 5*o = 9 - 56, -f - 33 = 3*o. Let r be (2\/(-3))\/(4\/f). Calculate the remainder when 17 is divided by h(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.1863 times 0.095?\nAnswer: 0.0176985","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 18 in -2559, -10, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = 714*m + 84. Let t(h) = -42*h - 5. Determine 5*p(u) + 84*t(u).\nAnswer: 42*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -410, -725, -1038, -1349, -1658?\n\"Answer: i**2 - 318*i - 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-4 + 5 + 347\/3)\/(4\/30). Which is smaller: 2629\/3 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1095106, -4380423, -9855952, -17521693?\nAnswer: -27377646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -297, -597, -897, -1197, -1497?\nAnswer: -1797","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -726, -1472, -2218, -2964?\n\"Answer: -746*c + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = 677*m + 2031. Calculate q(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Do -4599\/2 and -2299 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 1 - 3)*(3 - 8 + 3 + (3 + 1 - 2)*(0 + 1 + 0) + 1 - 2 + 2)*(0*d + 4*d - 2*d).\nAnswer: -4*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 1574.2 + -1574. Which is smaller: w or 0.12?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -398 divided by -398?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -15034222, -15034223, -15034224, -15034225?\n\"Answer: -c - 15034221","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -4, -10, -20, -34, -52?\n\"Answer: -2*h**2 - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 164 + -158. Let z(p) = 7*p**2 - 32*p - 24. Let k be z(d). Suppose -4*u + 108 - 12 = 0. Calculate the greatest common divisor of k and u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1668 is divided by 19?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (((-9288)\/43)\/24)\/((114\/(-4))\/(-1)).\nAnswer: -6\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (180*(-2 + 1) + 0)\/(9\/(-138)). What is the highest common divisor of n and 120?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 36951*m**4 - 3*m**2 + 51758*m wrt m?\nAnswer: 443412*m**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -6  (b) 0.036  (c) 2\/7  (d) 308  (e) 4  (f) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = -8*i**3 - 5*i**2 + 6*i - 4. Let s(u) = -15*u**3 - 9*u**2 + 11*u - 7. Suppose -3*p = p - 4*g - 32, 3*g = -p. Determine p*s(b) - 11*f(b).\nAnswer: -2*b**3 + b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (12\/(-24) + -4)\/(1 + 2). Let s = 5 - 2. Which is the closest to -1\/4?  (a) -2\/11  (b) s  (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = 2*z**3 - 2*z**2 - 2*z + 3. Let v = -3 - -4. Let t be v\/(-4) + (-9)\/(-4). What are the prime factors of m(t)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is thirteen quarters of a litre in millilitres?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(4 + (sqrt(425) + 2 - (sqrt(68) + (sqrt(68)*-3 - sqrt(68)))\/sqrt(4)))*3.\nAnswer: 90 + 120*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = 3*m**3 - 37*m**2 + 14*m - 5. Let k be (-6)\/(-15)*15*2. Let o be u(k). Solve -4*v - o = y, -2*v - 5 = -y - 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g = -4*i + 5024, -8 = -32*i + 34*i. Is 14 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -91 + 77 + (1 - -5) - -6\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.0292235 + -0.5.\nAnswer: -0.5292235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) be the second derivative of f**5\/10 - 5*f**4\/12 + 7*f**3\/6 + 25*f. Let b(x) = -4*x**3 + 9*x**2 - 13*x. Let k = -480 - -469. Give k*o(r) - 6*b(r).\nAnswer: 2*r**3 + r**2 + r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 194027*y = 3*d + 194030*y - 15, 5*y = 35 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 64822414 to the nearest integer?\nAnswer: 8051","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 250 is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z = -3*s - 1, s + 2*s + 3 = 0. Let b be z\/(-2)*8\/4. Is 2 less than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -1e23c - 1?\nAnswer: -1e23d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 11062*i + 15719*i - 21015*i + 42031*i + 35776*i - i - i + i + (-4 + 0 + 6)*(i - 1 + 1) + 4*i - 2*i - i + 0*i + 0*i - i to the form a + h*i and give h.\nAnswer: 83574","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express -140*s**2 + 26*s**2 - 277*s**2 as d + v*s**2 + p*s and give v.\nAnswer: -391","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in one sixteenth of a millimeter?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 52769 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2461772 is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -7a85 + -85b?\nAnswer: -8724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -623*y + 640*y - 48 + 14. Solve -2*d + 25 = 5*r, -y*r - 13 = -4*d - 23 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 47\/3953820 and -77\/2340?\nAnswer: 11861460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = 21*k + 4. Let d be z(-4). What is the remainder when (-5 - -2)\/(6\/d) is divided by 1 + (13 - (-2 + 2))?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1\/3, 23, -18\/5, 5.1 in increasing order.\nAnswer: -18\/5, -1\/3, 5.1, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is (3 - 1 - (-4 - 3)) + (-8 - -3) - -18?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -1\/4, 3\/344, -1\/9, 0.1, -0.4, 2\/15, 147?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 82 is divided by 30?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 297 + -429. Calculate the common denominator of 3 - 3\/((-63)\/h) and (-1 - -1) + 47\/9.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -3, 45, -410, -6, 5.\nAnswer: -410, -6, -5, -3, 5, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*k - 94 = -p, 3*k - k - 58 = 5*p. Let w be (k\/30)\/((-4)\/(-10)). Suppose 0 = -0*v + w*v - 6. Do 1 and v have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 67380925*g**2 + 81821824 with respect to g.\nAnswer: 134761850*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0 + 5. Solve -2*d + 2*p = 8, 0 = w*p + 5 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -7\/4 or -2\/253739?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Express (7*j + 2*j - 2*j)*(0 - 1 - 1)*(j + 2*j - j) in the form k*j**2 + u*j + q and give k.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 180\/7 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in one fifth of a millimeter?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 4, -3, 559\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*n + h - 13, -5 + 22 = 4*n + 5*h. Let d = 3129\/5 - 626. What is the nearest to n in -0.5, -1, d, -9?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 236703 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = q**2 + 10*q - 8. Let x be g(-11). Suppose 6*c - x*c = 33. Is c a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 44c (base 14) to base 10\nAnswer: 852","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor z**2\/6 + 175*z\/3 - 117\/2.\nAnswer: (z - 1)*(z + 351)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand 20*l**4 - 4*l + 4*l + (-l**2 - l**2 + 0*l**2)*(-4*l**2 + 5*l**2 + 0*l**2).\nAnswer: 18*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Round 622.5 to the nearest one hundred.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -61237, -61242, -61245, -61246, -61245, -61242?\nAnswer: -61237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -4 - (0 - ((-4 - -3) + 4))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-7 + 9)*21\/(1008\/(-600))?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2095?\nAnswer: 5, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-3)\/9 + 14\/(-3). Let r(m) = 2*m**2 - 2*m - 9. Is r(g) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*f + 5*l = -8 - 2, -5*f - 4*l = 6. Suppose -f*t + 4 = 2*u - 4*t, 0 = -3*t. Let r = 1.98 + 0.02. Which is the nearest to u?  (a) 1\/5  (b) r  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 40491?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*d - 696 = 305. Calculate the remainder when 174 is divided by d.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -v**2\/5 - 317413*v\/5 + 317414\/5.\nAnswer: -(v - 1)*(v + 317414)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v + 79 = 2*v. Suppose -n - 31 = -v. Suppose n = 3*i + 6. What are the prime factors of i?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 1311 divide 569954150?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 81\/9*(-148)\/(-1332)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 49*0.05493\nAnswer: 2.69157","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.386405113 to 1 dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4*0.18.\nAnswer: -0.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((z\/(z**(1\/3)*z*z))**38*z**3\/(z**(1\/4)\/z))**(-23))**(-19) assuming z is positive.\nAnswer: z**(-246031\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -3 - (-3 - 5 - -1). Let y(n) = -n**3 + n**2 - 2*n + 4. What is the remainder when y(0) is divided by (-1)\/(-1) - u\/(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 17*j - 2173 + 2292 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -5, -33, -185, -86 in descending order.\nAnswer: 3, -5, -33, -86, -185","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 2\/10 + (-48)\/15. Let f be 5 + -2 + q + 0. What is the closest to f in 4, 0, 0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*(((sqrt(245) - (1*sqrt(245) + sqrt(245)))\/sqrt(5))\/sqrt(7) - sqrt(77)\/(((sqrt(55)\/sqrt(5) + sqrt(11))*-2 - sqrt(11)) + sqrt(11)))*5)**2.\nAnswer: 39375\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*i + 4*i = -10. Suppose -i*u + 4*f - 22 = 0, -u = -2*u - 4*f + 7. Which is the second biggest value?  (a) 2\/3  (b) u  (c) -9\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 f when four letters picked without replacement from otctttfffccftttccot?\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express 8*i + 62*i**3 - 61*i**3 - 12*i**4 + 1 + 4*i**4 + 6*i**4 - 3*i**2 in the form m*i**3 + c*i**2 + p*i**4 + t + d*i and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0001628 rounded to six dps?\nAnswer: 0.000163","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 257028191*v**3 + 1949419*v?\nAnswer: 1542169146*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = 49*f**2 + 51*f - 140. Let z(r) = -16*r**2 - 17*r + 46. Let q(x) = 4*v(x) + 11*z(x). Is q(-11) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 217*z - 427*z + 350*z**2 + 210*z to the form u*z**2 + k*z + x and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-260)\/(-4056)*234\/720?\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is (3\/(-6))\/(1 + (-10)\/8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 29177 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-4 + 0 + 1)\/1. Suppose 2*s + 2*k = 4, 2*k = 2*s + 1 + 3. Let a(o) = o**3 - 20*o**2 + 17*o + 36. Let g be a(19). Put s, g, f in descending order.\nAnswer: s, g, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = 38*d**2 + 50*d - 99. What is the remainder when y(2) is divided by 36?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k**(2\/13)\/k*k)**(1\/2))**(32\/7) assuming k is positive.\nAnswer: k**(32\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = -c**2 + 5*c - 7. Let t be x(5). Let y(s) = -s**3 - 7*s**2 + 10. Calculate the least common multiple of y(t) and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2036?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.031 + -0.031. Put -4, -3, 0.2, o in decreasing order.\nAnswer: 0.2, o, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1454558406 - -305.\nAnswer: 1454558711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = 5*j**2 + 11*j + 26. Does 4 divide h(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*x**2\/7 - 6938*x\/7 + 375540\/7.\nAnswer: 2*(x - 3414)*(x - 55)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 39*u + 8589 - 71028. List the prime factors of u.\nAnswer: 1601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.04492408282 rounded to five decimal places?\nAnswer: -0.04492","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 1 + (0 + 6)\/3. Suppose -9 = -c*z + 6*z. Let u be -6 - z\/(9\/6). Sort -5, u, 2 in decreasing order.\nAnswer: 2, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**(2\/27)\/q**(-2\/3))\/(q*q*q**5*q*q**(-1\/7)) assuming q is positive.\nAnswer: q**(-1345\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -2916 (base 16) in base 2?\nAnswer: -10100100010110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 12 - 30. Let d = -11 - j. Let b = -12 + d. Sort b, 3, 0.3 in descending order.\nAnswer: 3, 0.3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 76085 and 19940.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((1\/8)\/((-20)\/112))\/((-138)\/(-1380))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 59 divided by -18941080?\nAnswer: -59\/18941080","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -110 - -109. Let r be 28\/(-3) - (-4 + y). Which is greater: -3 or r?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = -11*r**3 - 2*r**2 + r - 2. Let g be z(-2). Let m = g + -54. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 1006, 1002, 996, 988?\n\"Answer: -s**2 - s + 1008","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = -2*x - 1. Let h(b) = b**3 - 2*b**2 + 2*b - 1. Let i be h(1). Which is smaller: i or x?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u - 2*h - 42939 = 0, h - 21902 + 7594 = -u. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.87?  (a) 1\/4  (b) -0.4  (c) 8\/7  (d) 10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 55 - 38 - (1 + -4)\/(-1). Let g(c) = 8*c - j*c + 5*c + 86*c. Let i(k) = -k. Give i(g(t)).\nAnswer: -85*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = 537838*o - 537848. Calculate s(1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = -6*v**2 - 198*v + 26. Let k(m) = 16*m**2 + 396*m - 49. What is 5*i(l) + 2*k(l)?\nAnswer: 2*l**2 - 198*l + 32","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 96 and 72?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 576 minutes before 2:10 PM?\nAnswer: 4:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(110) - (sqrt(110) + -1*-3*sqrt(110) - sqrt(110)))*-5*6)\/((sqrt(90) + 4*-2*sqrt(90))\/(5*sqrt(81))).\nAnswer: -900*sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*x**4 - 19566*x**3 - 2320036*x**2 + 262401477624*x + 262403778096 = 0. Calculate x.\nAnswer: -6462, -1, 3142","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -3, -2, -9, -5 in increasing order.\nAnswer: -9, -5, -4, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 182 (base 9) in base 15?\nAnswer: a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 16972 + -16921. Solve 56*g - q*g = -2*t + 11, 4*t = -2*g - 2 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) be the first derivative of -q**4 - 5*q**3\/3 + 3*q**2 - q + 86. Let f be r(2). Which is the third biggest value?  (a) -3\/5  (b) f  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 721 is divided by 227.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = -b + 6. Suppose -q - 5 = h, 2*h - 3 - 5 = q. Let v be f(q). Let m = 14 + v. Calculate the highest common divisor of 26 and m.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:26 AM and 1:42 PM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = -22*n - 1. Let j(h) = 7*h. Give j(y(g)).\nAnswer: -154*g - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = 8*y**3 + 3*y**2 - 6*y - 43. Let n(w) = w**3 - w**2 - 1. Let o(g) = l(g) - 7*n(g). Let i be o(-10). Solve -i = -2*k + 10*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 16.05 and -0.3.\nAnswer: -4.815","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*x - 2*q + 19 = 0, -2*x - 66*q + 33*q + 1019 = 136*q + 168 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 7775 or 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = 144*a**2 - a. List the prime factors of f(1).\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*w + 3*m = 4*w + 45, -5*w - 5*m + 115 = 0. What is the derivative of -22 - w - 15 + 88*g**3 wrt g?\nAnswer: 264*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 26*w + 79*w + 19*w + 14*w - 39*w - 91*w.\nAnswer: 8*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((3 + z - 3)*(3 - 2 - 2) + 2*z - z - 2*z + 3 - 2*z - 3 + 3*z - 2*z + 2*z)*(z - 4*z + 4*z).\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 2458028287 to the power of 1\/6, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 86765918.\nAnswer: 2, 97, 447247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = -40*y + 62. What is the remainder when (4*-1 - -3) + 63 is divided by q(1)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 4.2?  (a) 0.2  (b) -0.059  (c) -0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -84 + 160. Let y(v) = -17*v - 1. Let o be y(3). Let d = c + o. Does 6 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in 0.1, 2, -819?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = s**2 - s + 3. Let b be g(0). Let c(t) = t**2 - 1 + 137*t**b - 20*t**3 - 38*t**3. What is the tens digit of c(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -39 = -4*l - 3*t + 272, -5*t + 25 = 0. Let i = l + -369\/5. What is the fourth smallest value in i, -2, 2, 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1688778?\nAnswer: 2, 3, 7, 13, 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w*w**(-14)*w)\/w**(-21) assuming w is positive.\nAnswer: w**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from eeeeppjepeej. What is prob of picking 2 p?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 90373809923 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 583 minutes after 6:45 PM?\nAnswer: 4:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve q - 11 - 12 = 4 for q.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*s = 5*n + 5*s - 10, 0 = 2*n - 3*s - 5. Let i = 7784\/185 - -12\/37. Let u = i - 42. What is the closest to u in n, 2, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -44 - -24. Does 11 divide q\/1*(-10)\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -2 + 29352?\nAnswer: 29350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((3\/(-8))\/(-3))\/(556\/6672)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7 + 8 + 7 - 6 - 132*y.\nAnswer: -132*y + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -718, -1109, -1760, -2671, -3842, -5273, -6964?\n\"Answer: -130*n**2 - n - 587","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -9*n**3 - 4*n + n**2 + 0*n + 8*n**3 to f*n + h*n**2 + d + y*n**3 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = 1. Let i(m) = -4*m**2 + m**2 + 27 - 27. Determine -i(h) + 2*z(h).\nAnswer: 3*h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Does 7 divide 102749?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -993*f**5 + 0*f**3 - 524*f**2 - 5*f**3 + 69*f**2 + 7*f**3 wrt f.\nAnswer: -59580*f**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1\/((-1900)\/(-90))*(-165)\/(-594)\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 316828?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from yybbbbybbybybbbb. Give prob of picking 3 b.\nAnswer: 33\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = j**3 - 9. What is s(0)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 (base 13) in base 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) 0.5  (b) 2\/3  (c) 0.3  (d) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v*(v*v**1)\/v*v**(-4\/5)*((v**(-5)\/v)\/v)\/(v*v**(4\/5)))**(-27) assuming v is positive.\nAnswer: v**(1026\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 589284458.\nAnswer: 2, 7, 42091747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) be the first derivative of q**3 - 321. Let w(m) = -27*m**2 + 5. Let z(u) = -3*u**2 - 1 - 3 + 3 + 4*u**2. Let x(i) = -w(i) - 5*z(i). Determine h(x(a)).\nAnswer: 1452*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = -112*u**2 - 19*u + 23*u + u - 5*u. Let v(s) = s. Determine m(v(t)).\nAnswer: -112*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 16\/14*180\/(-144)*14\/18. Which is the third smallest value?  (a) -5  (b) f  (c) -4  (d) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-4)\/(-3)*((-6)\/(-24))\/(24\/180).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 4141, 16590, 37355, 66442, 103857, 149606?\nAnswer: 203695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*(-2 + (sqrt(2)*-5)**2 - (sqrt(2)*4 + 4) - (sqrt(6)\/(-1*sqrt(3)) - (sqrt(18) - sqrt(18)*4))**2).\nAnswer: -252 - 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = -4*v + 1735. Let p(z) = -z + 582. Calculate -7*p(y) + 2*u(y).\nAnswer: -y - 604","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g = 3*n - 878, 4*g + 1194 = 4*n + 6*g. Let z = n - 138. Does 33 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -24*f + 27*f = -2*a + 6, 2*f = -4*a + 4 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) be the first derivative of b**4\/4 + 2*b**3 + b**2\/2 + 2. Is 19 a factor of h(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -378.533 + 0.533. Sort -5, n, -3 in ascending order.\nAnswer: n, -5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*t**2 + 22*t - 26*t - 8 - t**2.\nAnswer: 4*(t - 2)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -1 + 3. Find the third derivative of -4*x**5 - 2*x**2 - x**y + 5*x**5 - 2*x**5 wrt x.\nAnswer: -60*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (9\/6)\/(6\/8). Suppose j*r - 43 = 3. What are the prime factors of r?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1297624?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = -7*d - 122. Let t(a) = a**2. Determine y(t(w)).\nAnswer: -7*w**2 - 122","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 2, -13, -76, -24, 17 in descending order.\nAnswer: 17, 3, 2, -13, -24, -76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1053) - sqrt(1053)*-3) + sqrt(117)\/sqrt(9)*-3 - (sqrt(468)*5 + sqrt(468) - (-5 + -3*sqrt(13))).\nAnswer: -6*sqrt(13) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.4 times 33?\nAnswer: -46.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 167 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 432577?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = h**2 + 34*h - 828. Determine y(-50).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 1811628 at most as big as 1811628?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 355 minutes after 12:25 PM?\nAnswer: 6:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify c**(1\/3)*c**(-4) assuming c is positive.\nAnswer: c**(-11\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 103 and 1236?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5000556?\nAnswer: 2, 3, 11, 43, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1466*c + 408*c - 48090 = -600*c for c.\nAnswer: -105","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = -t. Let w(p) be the first derivative of -885*p**2\/2 - 608. What is w(n(g))?\nAnswer: 885*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 26*b = 12 - 64. Suppose -20 = 3*p + p. Put p, b, -4 in increasing order.\nAnswer: p, -4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*w + 7 = 3, w - 55 = -4*h. Does 14 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 193931 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Add together 0.4 and -16.684548.\nAnswer: -16.284548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*a + 18 - 48. Let r be ((-3)\/a)\/(6\/(-132)). Let v = -8 + r. Solve -u + v*u = 4 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -28 + 448 = -30*m for m.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = -383*d + 4. Let w(n) = 775*n - 8. What is 11*p(x) + 6*w(x)?\nAnswer: 437*x - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is -1\/19474 at most 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -5322 + 5322.1. Which is the nearest to w?  (a) -0.4  (b) -0.2  (c) -7  (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -111 + 101211201201120?\nAnswer: 101211201201002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a = 6*a + 40. Let u = 9 - -9. Let h = a + u. Calculate the remainder when 18 is divided by h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -289*i**4 - 169218*i**3 - 24599577*i**2 + 50389460*i + 74820108 = 0. Calculate i.\nAnswer: -4994\/17, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 0\/3 - (24 - 21) - -6. Which is the nearest to 2?  (a) y  (b) -0.3  (c) -4  (d) -14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from vvvvvvv. What is prob of sequence vvv?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p = 2*p - 3. Suppose 0*u = -4*u - 2*q + 252, -66 = -u - 2*q. Suppose y + 57 - u = 0. Sort p, -4, y in ascending order.\nAnswer: -4, p, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 166358, 166303, 166228, 166127, 165994?\nAnswer: 165823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 6160682146 to the power of 1\/5, to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = 3*u - 2. Suppose 5*t + 0*t = 25. Suppose -x + 190 = -5*w, w + t*x + 59 = x. Let g(v) = 19*v - 13. Give w*z(f) + 6*g(f).\nAnswer: -3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = -7*s**2 + 6*s + 8. Let j be q(-1). What is the biggest value in j, 61, -4?\nAnswer: 61","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -248*a**3 + 409 with respect to a.\nAnswer: -744*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (36\/(-5))\/(4 - 9807\/2450).\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2\/18)\/((10\/12)\/((-1015)\/(-2030)))?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -1.3, 2438, 4, 1 in increasing order.\nAnswer: -1.3, 1, 4, 5, 2438","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 27\/128 and 109\/38624?\nAnswer: 154496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 269\/150 - -1\/150. Which is the third biggest value?  (a) 5  (b) -0.2  (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = q**2 - 6*q - 3. Let n be x(6). Let t = n + 5. Suppose 2*p + t*p = 24. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = 10*b + 3. Let i(r) = -37*r - 3 + 39*r + 3. What is i(o(h))?\nAnswer: 20*h + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*g**3 + 0*g**3 + 2*g**4)*(2*g - 4 - 2 + 2).\nAnswer: 4*g**5 - 8*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-4 - (3 - 11))\/1. Suppose -v*i - 5 = -17. Suppose -1 + k**2 + 1\/2*k - 1\/2*k**i = 0. What is k?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-8 + 890)\/3 + -1 - 3. What is the greatest common factor of 20 and h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7190.299 hours in microseconds?\nAnswer: 25885076400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3*t**2 + 5*t**2 + 2*t**2)*(-1 - 3 + 6) + 2*t**2 - 2*t + 2*t + (0 - 4 + 0)*(-4*t**2 + 2*t**2 + t**2) as f*t + q + l*t**2 and give l.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 688 minutes after 2:01 PM?\nAnswer: 1:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 0*(9 - 10) + 126713 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in p + 13*p**3 - 7*p + 9*p.\nAnswer: 13*p**3 + 3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = 233*t**2 + 1. Let v be l(-1). Suppose v = 5*b - 6. Is b a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -45226 = -5*g - 3*y, 140*y = 4*g + 141*y - 36185. List the prime factors of g.\nAnswer: 83, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 5 - 5 - 2 + 0 + 1 + (-3 - 3 + 5)*(2 + 1 - 4) - 2 + 32 - 7)*(0*v - 4*v + 3*v) + (-2 - 3*v + 5 + 8*v)*(3 - 3 + 1).\nAnswer: -16*v + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 111 + 2211?\nAnswer: 10022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 95 - 95. Solve 3*x + 8*n - 3*n = 37, x + n - 9 = j for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3 (base 5) to base 11\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -9*m**3 - m**3 - 2*m**2 - 402 + 2*m**3 + 403 to the form g*m**3 + j*m + l + y*m**2 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 798 is divided by (-2)\/6*-3*(-7876)\/(-44)?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -10110011111 (base 2) to base 4\nAnswer: -112133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -118 = 2*u + 94. What is the units digit of (u\/6)\/((-3)\/9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (3 + (-44)\/12)*948\/(-8)?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 7365 and 39?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*u = -2*i + u, -37*i + 72*i = 40*i + u for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -25, -4 in descending order.\nAnswer: -4, -5, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -919286 - -919295.00926. Let x = u - 5.009245. Let h = 4 - x. What is h rounded to six dps?\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 213 - 101. Suppose 10*u + z - 322 = 0. What is the first derivative of u*n + 19*n - 67*n + 20*n - 14 wrt n?\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2*r**2 - 4596*r + 318 wrt r.\nAnswer: -4*r - 4596","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is (114360\/146762)\/(5\/((-35)\/(-2)))?\nAnswer: 30\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor 25*u**4 + 405*u**3 + 2080*u**2 + 3600*u + 640.\nAnswer: 5*(u + 4)**2*(u + 8)*(5*u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*((sqrt(165)*-2 + sqrt(165))\/sqrt(3) - sqrt(275)\/(sqrt(5)*-2))\/(((2*sqrt(660))\/sqrt(11))\/(sqrt(60)\/sqrt(20))).\nAnswer: -sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1 - -1) + 0 - (5 - 7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 0 - 2*a - 1)*(2*a**2 - 3*a**2 - 2*a**2) + 0*a**3 - 5*a**3 + 3*a**3.\nAnswer: 4*a**3 + 6*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -25876*n**2 + 0*n + 4626*n**2 + 0*n.\nAnswer: -21250*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 55*i + 6 = 53*i - 2*v, 3*v = 3*i + 9 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 14655 and 6839.\nAnswer: 102585","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x = -14*g + 15*g, -4*x = -12. Sort -5, g, 2, 1 in increasing order.\nAnswer: -5, 1, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 7 - 10 - (5 + -5) - -5 - 12\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -75437*z**3 + 1899*z - 5 wrt z.\nAnswer: -452622*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18 = -4*b - 2*b, -3*c + 18 = b. Let y(q) = 2*q + q - 2*q. Let d(z) = 4 - 4 + 3*z + 4*z. Give c*y(o) - d(o).\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*s + 41 = 2*m, 5001*s = 5000*s + 2*m - 21 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 26141.\nAnswer: 26141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in 0, 2, -111, 475, -0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 116 + -113. Let c(z) = -z**2 + 2*z. Let s be c(2). Sort s, 2\/5, f.\nAnswer: s, 2\/5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 24 and 44672?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-3)\/(-6))\/((1785\/(-240))\/17)?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence vg when two letters picked without replacement from nngnnnvgnn?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 101\/6 and -11\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -3*a**3 + 386518*a**2 - 2*a - 5890462 wrt a.\nAnswer: -9*a**2 + 773036*a - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of ((-27486)\/13752 + 10\/5)*(-2 - -20) and 49\/156.\nAnswer: 29796","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 24822*h**5 + 113*h**4 - 8680607*h wrt h?\nAnswer: 496440*h**3 + 1356*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n**(-4)\/(n**3*n))\/(n\/(n\/(n**0*n*n*n)*n*n))**(19\/4))\/(n*n**(1\/5)*(n**(-1)\/n)\/n*n)**(-11) assuming n is positive.\nAnswer: n**(-431\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 27294?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = 4*o - 15. Suppose 5*h - k = 17 - 5, o*h - 3*k = 6. Solve 4*c - 22 + 4 = -v, -2*c = h*v - 4 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -0.4, -4\/3, 0.5.\nAnswer: -4\/3, -0.4, 0.5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*((sqrt(84) - -1*sqrt(84)*-4)\/sqrt(7) + (-2 + -3 + sqrt(3))*-3*1).\nAnswer: -75 + 45*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 0 + 3 - 285\/10. Let j = 26 + y. Suppose 0 = -n - 5*g + 2*g, 5*n = 3*g. Which is greater: j or n?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 302759442?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -94 - -143. What are the prime factors of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 0*t**4 - 54*t**2 + 52*t**2 - t + 3*t**3 - 2 + 3*t**4 in the form f*t + a*t**2 + d*t**4 + g + b*t**3 and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {v: 5, o: 2, e: 3}. What is prob of picking 1 e and 1 o?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s + 3*x = 6*x + 306, -5*s - x + 528 = 0. Is 21 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 4, -12, -12754, 5\/2, 5, -2\/5?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + (5*(3 + sqrt(7)) + -5*sqrt(35)\/sqrt(5) + -1 + sqrt(448) + sqrt(7)*1 + 2)**2.\nAnswer: 288*sqrt(7) + 819","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5 + -1 + 1 + 5*(sqrt(275) + -1 + -5 + (2*sqrt(275) - sqrt(275))*-3))**2.\nAnswer: 2500*sqrt(11) + 28125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5583688490.\nAnswer: 2, 5, 13877, 40237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 23657114027 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = 6*t**2 - 4*t + 1. Let a(c) be the third derivative of -c**5\/60 - c**4\/24 - 152*c**2. Give 5*a(j) + g(j).\nAnswer: j**2 - 9*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Work out 54 * 4.\nAnswer: 216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*y**4\/9 + 17876*y**3\/3 + 35764*y**2 + 53652*y.\nAnswer: -4*y*(y - 13413)*(y + 3)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = 194*c**3 - 7*c**2 + 11*c + 3. Does 35 divide v(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 305, -3\/5, 358776 in ascending order.\nAnswer: -3\/5, 305, 358776","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 h and 1 n when two letters picked without replacement from {h: 1, z: 3, b: 1, n: 1, x: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from kzzzqzzzkqzzqzkzqkk. Give prob of sequence qkqz.\nAnswer: 25\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express 2320*v + 4278*v + 15480*v as w*v + m and give w.\nAnswer: 22078","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 197.7 - -810.3. Let r = d - 1008. Which is bigger: -6\/49 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 11786 is divided by 311.\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (24\/(-39) - -1)*-10 - -4?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*g - 4*q + 66, 0 = 4*g - 5*g - q + 34. Suppose 2 = x + 9. Let i(s) = -s - 2. Let y be i(x). Calculate the greatest common divisor of g and y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 1.7 + 0.3. Let u = -1484 - -1485. What is the third smallest value in u, 0.3, y, 1\/2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -49\/4 and ((-45)\/(-75))\/((-90)\/4).\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-w + w - 2*w)*(2*w - 2 + 2) - 3*w**2 - w**2 + 2*w**2 - 11 + 11 + 4*w**2.\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 13 - 12. Suppose -m = -c + 3. Suppose 0 = c*u + 2*p + 3*p - 113, u - 23 = 4*p. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.003176279871 rounded to six decimal places?\nAnswer: 0.003176","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w - w = 150. Suppose w = 10*d - 0*d. Solve -l + 3*n - 20 = 0, -2*l = -0*n - n + d for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = -l**3 - l**2 + 894. Is 38 a factor of a(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2)\/(128\/(-560)*5*7).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 6210 + -6239.07. Let q = -29 - i. Let v = q - -0.33. Put 0.2, v, 1\/2 in ascending order.\nAnswer: 0.2, v, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = r**3 - 6*r**2 + 5*r + 3. Let h be f(5). Let d = -17 - -13. Sort -3, h, d, 4 in increasing order.\nAnswer: d, -3, h, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 993840.4ng in grams?\nAnswer: 0.0009938404","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 1*6\/10 + (-4)\/(-10). Let b be 1544 + -1 + (4 - (2 + v)). Let f = 1766 + b. What is f rounded to the nearest 100?\nAnswer: 3300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = z**3 - 2*z**2 + 14*z - 23. Is j(10) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 1270 and 1892427?\nAnswer: 18924270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:24 AM and 6:18 AM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 5294180299 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -98*p - 93*p - 41*p - 3248 = 0 for p.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4 + -1 + -4 + 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 43410?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 80\/(-160) - 50\/(-4). What is the highest common divisor of p and 156?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.243761 * -3\nAnswer: -0.731283","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1715830?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = -w**3 - 4*w**2 + 2*w + 2. Let m be n(-4). Suppose -14*d - 15 - 13 = 0. Calculate the remainder when d*((-525)\/m)\/(-7) is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 6992.751 decades to years.\nAnswer: 69927.51","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 + 0 - 11 + 4)*(-14*l**3 + 2*l**3 + 0*l**3).\nAnswer: 132*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 13 + (-12 - -10) + -6 + -4 + -26\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-888)\/1752*(-3)\/3. Which is greater: 0 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*l = -5*q + 19, -l + 5*q - 15 + 2 = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ggqgbqdbbql. What is prob of picking 1 g, 1 q, and 1 l?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is be (base 15) in base 7?\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*x**2 + 5*x**2 + x**2 + (-2 + x**2 + 2)*(-3 + 0 + 1) + (-4 + 6 - 3)*(-2*x**2 + 2*x**2 - x**2) - x**2 - 6*x**2 + 5*x**2.\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-47 - k**2 + 4*k**2 + 40)*(-7 + 4 - 7).\nAnswer: -30*k**2 + 70","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*l + 6 = -2*n, -5*n = l - 6 - 6. Let x be (-8)\/12 + (-11)\/(-3). Suppose 0 = u - m - 4, -x*u - u + 21 = m. Sort 4, u, n.\nAnswer: n, 4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = -946*u**2. Let w(p) = 61*p**2. Determine -5*r(k) - 77*w(k).\nAnswer: 33*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 285 is divided by 11\/((-374)\/(-1819)) + (-1)\/(-2).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 26641 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 32*p**2*r*z**4 + 49*p**2*r - p**2*z**2 + 3*r*z**2 + 5*r*z wrt z?\nAnswer: 384*p**2*r*z**2 - 2*p**2 + 6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence snw when three letters picked without replacement from nnwnnnsnns?\nAnswer: 7\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 5.660506ml in litres?\nAnswer: 0.005660506","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = -7*b**2. Let g(m) = -6*m**2 + 80 - 80 - m**2. Determine y(g(z)).\nAnswer: -343*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 8 and 75?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from kpkkppppkpkgpk. Give prob of picking 1 k and 1 g.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -137 + 139. Suppose -5\/6*q**p + 1\/3*q + 0 = 0. Calculate q.\nAnswer: 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be -8*(3\/(-2))\/(-3). Let p(k) = k**2 + 5*k + 3. Let t be p(-2). Which is smaller: t or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 12 + -20. Let w be (o\/(-18))\/(2\/3). What is the closest to -0.1 in 2, 1\/4, w?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + -4*(-5 + (sqrt(13)*-2*4)**2)*5.\nAnswer: -16544","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 20*l*u*z**3 + 1286653*l*u + 250*l*z**3 + 210845*l*z**2 wrt u.\nAnswer: 20*l*z**3 + 1286653*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) be the first derivative of -3 - 3*l**2 - 8\/3*l**3 + l. Let b(s) be the first derivative of o(s). Let u(r) = -5*r - 2. What is -3*b(w) + 10*u(w)?\nAnswer: -2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:41 AM and 6:06 AM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) be the third derivative of -f**8\/1848 - 31*f**7\/1155 - 251*f**6\/660 - 101*f**5\/330 + 85*f**4\/11 + 300*f**3\/11 - f**2 + 396*f. Solve b(i) = 0.\nAnswer: -15, -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21 = -i - 0*i. Let o(h) = -h**3 - 20*h**2 + 22*h + 27. Let u be o(i). Suppose -u = -8*w + 6*w. Solve w*s + 4 = s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-3)\/26*((-16)\/6)\/(-2).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = 3*c - 37. Let w be s(13). Solve -w = -3*i + 13 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 85670?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express (f + 0*f - 1 + 0*f)*((552 + 593 - 306)*(2 + 1 - 2) - 1 + 2 + 0) as t + h*f and give h.\nAnswer: 840","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 58933 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = i**3 - 20*i**2 - 21*i + 47. Give l(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Put 146, -0.5, -4\/7, -1 in decreasing order.\nAnswer: 146, -0.5, -4\/7, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 7539 + -4097. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5623087 is divided by 38?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11 = -5*i - 2*d, 23409*i - 23410*i = d + 4 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -25\/7 or -4?\nAnswer: -25\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0 - 1 - 21*n + 0.\nAnswer: -21*n - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-32)\/192*(-9)\/2?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express (s**2 - 4*s**2 + 2*s**2)*(5*s + 1 + 6 - 6) as m*s + w*s**2 + z + v*s**3 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -296 - -1065. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 12\/(-24)*64\/(-352)\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -3112413 (base 5) to base 14\nAnswer: -14819","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 a factor of 186660?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Put 237, -2\/9, 2\/19, -1\/4 in descending order.\nAnswer: 237, 2\/19, -2\/9, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Does 8 divide 10839?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -18159.09 - -18159. Which is the nearest to -11?  (a) 1  (b) 5  (c) -2\/3  (d) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 1\/64 of a meter?\nAnswer: 15625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is -28620 < -28621?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -6853, -13627, -20399, -27169?\nAnswer: -33937","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 54\/5509 and 34\/11805.\nAnswer: 82635","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {p: 3, m: 1, w: 1, f: 2}. Give prob of sequence fmw.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 - 14 = -4*c. Suppose -6*j - 26 - 82 = 0. Let s be (-240)\/(-20)*(j\/(-8))\/1. Sort c, s, 2 in decreasing order.\nAnswer: s, c, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*(sqrt(2430) + (sqrt(2430) - (1*sqrt(2430) + sqrt(2430) - sqrt(2430))))*-6)\/((sqrt(70)*-1*-6)\/(-2*sqrt(7)*4)).\nAnswer: 216*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*m + 32*m = 161280. Suppose 0 = -46*t + 18*t + m. Calculate the remainder when t is divided by 27.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*t + 5*q + 33, 2*t - 12 = -2*t + 4*q. Let l = 10 - 18. Does 2 divide 6\/t - (l + 1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = m**2 - 3*m + 3. Suppose i - 2*i - b = -3, -2*b - 6 = -4*i. Suppose i*r - 1 = 3. What is the units digit of n(r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(68) + -1*(-1*sqrt(68) - sqrt(68)))\/(sqrt(64)\/sqrt(4)) - (-5*(sqrt(187) + 1*sqrt(187)))\/(3*sqrt(11)*1).\nAnswer: 29*sqrt(17)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:10 PM and 1:17 PM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -427 + -2265?\nAnswer: -2703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is (2\/(-14))\/((4\/(-14))\/(156\/104))?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 6.68 + 0.32. Let x = k + -9. Let u be (-10)\/35 + (-9)\/(-7). Which is the second biggest value?  (a) u  (b) x  (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = 58*i**2 + 2*i - 1. Calculate the remainder when x(-2) is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (-6 + 9 + 44\/(-20))*26740?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 11320 and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from asajjeaema. What is prob of sequence jm?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = -2*f**3 - 18*f**2 + f - 2. Let b(i) = -i**2 + i - 1. Give -b(s) + n(s).\nAnswer: -2*s**3 - 17*s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 191b - 5?\nAnswer: 1916","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14*j = -40 - 16 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Express 0 - 270*m**3 + 2*m + 273*m**3 - 2 in the form q + j*m + u*m**2 + s*m**3 and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-566 + 261 - 289)*(0*u**2 + 2*u**2 - 3*u**2) + 0*u**2 + 4*u**2 - u**2.\nAnswer: 597*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 530 + 239. Which is smaller: t or 770?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 67511.97 to the nearest one thousand.\nAnswer: 68000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = x**2 - 1. Suppose 2*d - 5*d = 6, 4*d = 5*s - 18. Let j be g(s). Suppose -3*h + 39 = 2*h + q, h + j*q = 19. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 53052847 * 0.2.\nAnswer: 10610569.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 238992.\nAnswer: 2, 3, 13, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = -d**3 + 38*d + 1 + 38*d - 77*d. What is u(1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 5210722 and 216612.\nAnswer: 93792996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -3 - -5. Let i(v) = -3*v**2 + 12*v + 8*v**2 + 5 + 4*v**x - 22*v - v**3. Calculate the remainder when i(7) is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of -9 - -13 - (-200 - -2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = -802*a - 1. Let b(f) = f. Give 4*b(o) + v(o).\nAnswer: -798*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -73*w - 15*w + 1144 for w.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0001931627 rounded to five dps?\nAnswer: 0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 23 + (-8 - 12 - -6) + 3?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 0 + 23*(5 + -4). Let h be ((-50)\/8)\/(b\/(-92)). Solve 3*v - h = -19 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = -19*i**3 - 75*i**2 + 16*i + 34. What is a(-6)?\nAnswer: 1342","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -250*o - 831767 - 1092733. Are o and -7697 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be -3*(4\/(-66) + 0). What is the closest to -3 in 2\/21, t, 4?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 318, 164, 24, -96, -190, -252, -276, -256?\n\"Answer: s**3 + s**2 - 164*s + 480","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 317.1157 to the nearest ten.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -1141 - -4569\/4. Let b be (-3 - -5)\/((-34)\/(-2)). What is the nearest to b in 3, d, -5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*k**2\/7 + 656088*k\/7 + 281178.\nAnswer: 2*(k + 3)*(k + 328041)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4 + 5 + 3*(3 + 5 + sqrt(171) + sqrt(171) + 3 + -5))**2.\nAnswer: 684*sqrt(19) + 6517","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -39?  (a) -0.3  (b) 0.4  (c) -4\/7  (d) -0.72\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 2897287347?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 318584091?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 4\/22 + ((-264)\/121 - -4). Let u(r) = 7*r - 1 - 2*r**2 - 4 + r**2. Let h be u(7). What is the biggest value in h, v, 1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 14380896539 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (8*w**3 - 1211*w**4 + 1209*w**4 - 3 - 7*w**3 - 17*w)*(-5 + 4 + 0).\nAnswer: 2*w**4 - w**3 + 17*w + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1*(90\/72)\/(1\/(-4)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 256273796?\nAnswer: 2, 2011, 31859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = 6*v. Let f(x) = -x**2 - 3*x. Let s(l) = l**2 - 4*l. Let b(d) = -5*d. Let h(r) = 3*b(r) - 2*s(r). Let k(q) = -14*f(q) + 6*h(q). What is u(k(p))?\nAnswer: 12*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, -4, 126, 0, -7 in descending order.\nAnswer: 126, 1, 0, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 9287 and 6615356?\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 17\/2 of a decade?\nAnswer: 1020","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 50, 91, 124, 143, 142, 115, 56?\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-102)\/(-8))\/(10\/40) + 4. Let h be (20\/(-3))\/(-2)*-3. Let p = h + j. What are the prime factors of p?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = -15*l**2 + 16*l. Let d(i) = -3*i**2 + 3*i. Let k(u) = -22*d(u) + 4*j(u). Let t(m) = 44356*m**2 - 22175*m**2 - 22179*m**2. Calculate k(t(a)).\nAnswer: 24*a**4 - 4*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -91 + 213 + -100 - (-1 + 4).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 233324483 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 193 is divided by (4 - 27\/6)*-26.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 818209?\nAnswer: 7, 179, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) be the first derivative of -z - 15\/2*z**2 + 4. What is the units digit of d(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) be the third derivative of 0*f**4 - 7\/360*f**6 + 0*f**3 - 66*f**2 + 1\/42*f**7 + 0 - 1\/112*f**8 + 1\/180*f**5 + 0*f. Suppose v(w) = 0. Calculate w.\nAnswer: 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 16193790*m**5 + 398*m - 3577?\nAnswer: 323875800*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 9.16 - 9. Let z(i) = -8*i**2 + 4*i - 5. Let p be z(5). Let s = -1297\/7 - p. Which is the nearest to 0.1?  (a) y  (b) -0.4  (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -63 - -94. Suppose 0 = 4*w + i - 47. Suppose 5*a + 5 = 0, w*o - 5*a - 399 = -2*a. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -m - 0*m - 4*a - 3, 3*a - 38 = 5*m. Let p(r) = -r**3 - 7*r**2 + 3*r + 18. What is p(m)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4497740 divided by 2.\nAnswer: -2248870","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-4)\/26 - (-296338)\/(-22204))*6?\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 1358 - 1194. List the prime factors of y.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = h - 16. Let f be n(16). What is the nearest to 29 in -1\/5, -2, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 w and 1 r when two letters picked without replacement from mrymwrrwmr.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -44 plus 474159?\nAnswer: 474115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = -g**2 - 2*g. Let j(t) = t. Let m(w) = 2*j(w) + z(w). Let v(f) be the third derivative of 1\/24*f**4 + 0*f + 0*f**3 + 0 + f**2. What is v(m(o))?\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 86969 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -20588 - -20588.011297. What is p rounded to three dps?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10*l + 7 = -23, 3*l - 15 = -5*h - 2*l for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16 = -2*r - 0*r. Let i = 37 + r. Let l(w) = w**3 - 9*w**2 + 8*w + 9. Let s be l(8). What is the greatest common divisor of s and i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12460271 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 1 + -0.7. Let g be (-40)\/56 - 44\/(-77). Suppose 0 = -6*i + 2*i - 20. What is the closest to 2\/9 in i, g, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*w - 0*w - 27. Let c(s) = 11*s - 105. Let x be c(w). Let i(m) = 1 - 2*m + 3*m - 3. Calculate i(x).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2*u**3 - u**2 + u**2)*(-10 - 14 + 9 + (4 + 2 - 4)*(-3 - 4 + 5) + 3 + 0 - 2 + (-1 + 0 + 3)*(19 + 8 - 75)) as n*u**2 + r*u**3 + a + d*u and give r.\nAnswer: 228","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 44324?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert 20 (base 3) to base 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -106 + 154. Calculate the common denominator of -4\/15 and ((-4)\/10 + 0)\/(x\/(-275)).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 501*(-2)\/(-18) - 6\/9. Suppose 6*q = 3*t + q - m, 0 = -q - 5. List the prime factors of 532\/t + (42\/15 - 3).\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 227419 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: Calculate prob of sequence ooff when four letters picked without replacement from fhofhhhrohrfmfhrohf.\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Put 6, -4, 5, 1 in decreasing order.\nAnswer: 6, 5, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l - 18850 = l. Let o = 8614 + -9779. Let f = o - l. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-6)\/(-5)*(-20)\/(-8). Suppose 125 = -z*k + 608. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -3*r**3*s**4 - 23*r**3*s**2 - 453*r**3 + 3*r + 2*s wrt s.\nAnswer: -12*r**3*s**3 - 46*r**3*s + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = 8*x + 80. Let u be d(-10). Solve 8 = -2*p - u for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 84, 335, 1006, 2307, 4448?\nAnswer: 7639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 20723, 20768, 20875, 21074, 21395, 21868?\n\"Answer: 5*r**3 + r**2 + 7*r + 20710","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0 + 0. Suppose u = 120*s - 118*s - 8. What is the highest common factor of 4 and s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = x**2 - 10*x + 10. Let i be z(9). Suppose -128 + 122 = c. Let p be 8 + -4 + c - -7. Put i, -5, p, 2 in descending order.\nAnswer: p, 2, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r + 37 - 773 = 0. Is 11 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 4\/103645 or 1?\nAnswer: 4\/103645","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Round -467.481 to the nearest ten.\nAnswer: -470","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2084438?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = -3*o + 5. Let p(y) = -15*y + 24. Let d(g) = -24*f(g) + 5*p(g). Let r(n) = n. What is d(r(t))?\nAnswer: -3*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = l**2 + 7*l - 7. Let u be a(-10). Let m = u + -18. What is the derivative of m*y + 3 + y - 6 wrt y?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 32 + -64. Let d = 34 + y. Let n be -1 - ((-14)\/d - -3). Solve 2*g + 0 = 3*j - 17, 3*j = -3*g - n for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 155*l + 34*l - 2826 - 4286 = 2338 for l.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = -b - 5. Let u be p(-9). Suppose w - 4*w = 4*c + 6, 5*w - 5*c - 25 = 0. Solve -2*y = 2*a + 6, w*a - u - 6 = 2*y for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = -k + 2. Solve 5*d = k*z - 1, -4*z + 3 + 10 = 5*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2087*i**3 - 1041*i**3 - 2*i - 2 - 432*i**2 - 1045*i**3 to s*i + x*i**2 + t + v*i**3 and give x.\nAnswer: -432","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 89 from 89.94.\nAnswer: 0.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*u - c - 11, 4*u + 4*c = 18 + 2. What is the closest to 1 in 4\/7, -4\/3, u?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:50 AM and 3:01 AM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 62212?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 46 and 80332974?\nAnswer: 80332974","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Does 83 divide 986870?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = -2*w**3 - 77*w**2 + 41*w + 71. Let n be l(-39). Let g(y) = 52*y**2 + 11*y + 32. Is g(n) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 89 + 27 + 5170*s**3 - 194 + 78 - 5171*s**3.\nAnswer: -s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7045 is divided by 201.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = 2*h**2 + 2*h + 3. Let z = -86 + 87. Suppose -z - 2 = 4*t + 5*o, 0 = -5*t + o - 11. Determine i(t).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -w + 1933*w**2 - 10617*w**2 - 6 + 2*w.\nAnswer: -8684*w**2 + w - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Put -55, -0.1, 0.4, 6, -1\/3 in decreasing order.\nAnswer: 6, 0.4, -0.1, -1\/3, -55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-3)\/2*-134 + 5. Let n be (-4 + f\/56)\/(219\/8). Let a = 2339\/18396 - n. Find the common denominator of a and -67\/20.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -308461, -616924, -925387, -1233850, -1542313, -1850776?\n\"Answer: -308463*o + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((8\/(-7))\/((-50)\/70))\/(-2).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = -2*q + 1. Let n(u) be the second derivative of u**3\/6 - u**2\/2 - 2*u. Let j(x) = -2*g(x) - 3*n(x). Let y(c) = c + 3. Let w be y(-6). Calculate j(w).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = -3*i**2 - 168*i + 1234. Calculate m(7).\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -9770676*c**5 - 65*c**2 + 18*c + 142 wrt c?\nAnswer: -586240560*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 65667772?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand 6333*j**2 - 6327*j**2 - 99 - 116 + (-3*j + 2*j + 3*j)*(3*j - j - 3*j).\nAnswer: 4*j**2 - 215","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 14 and 518.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = q**3 + 15*q**2 - 34*q. Let g be u(-17). Which is the nearest to -4?  (a) 0.3  (b) g  (c) 1  (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c - 3*c = -24. Suppose 5*n - c - 3 = 0. Differentiate k + n - 2 + 2*k wrt k.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4425\/(-100) + 44\/1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -10.171 + 5.171. Suppose 4*h + x - 73 = 0, -2*h + 1 + 38 = 3*x. Let u = h + -35\/2. Which is the closest to u?  (a) 4  (b) j  (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = 2418*x**3 - 10*x**2 + 2*x + 11. Is c(5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -1715*g + 1716*g + 5*b + 53, -2*b = -4*g + 30 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000031101268 rounded to seven dps?\nAnswer: 0.0000311","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 2145 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 2 + -1*(-9 - -9). Solve -3*j = 5*i - 17, -i + 3 = z*j + 1 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:35 PM and 3:00 AM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -d**2*v**3 + 14*d**2*v**2 - 2*d**2 - 1365*v**3 with respect to d.\nAnswer: -2*d*v**3 + 28*d*v**2 - 4*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = -1. Let j(m) = -m**2 - 2. Suppose 36*s = 17*s + 19. Determine s*j(d) + 6*x(d).\nAnswer: -d**2 - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 35688 is divided by 17744.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence dhld when four letters picked without replacement from lhdodldldldlhddll?\nAnswer: 7\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*a + 5*t + 162733 = 11*a, 3*a + 5*t = 162773. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1561977 to the power of 1\/3, to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (11\/25)\/((-18)\/(-224505)). Let j = 5483 - y. Let u = 3188 - 31989\/10. Find the common denominator of j and u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1.2555 times 0.179\nAnswer: -0.2247345","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:37 PM and 2:05 AM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -2\/9, -6, -3, -3\/5?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 3021819, 3021818, 3021817?\n\"Answer: -y + 3021820","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 1.1 greater than or equal to -4707614?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5546 is divided by 146?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -315 rounded to the nearest one hundred?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 17200 and 125.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-3 - -3)\/(-3)*(-4)\/8. Suppose 0 = x - 4, -5*x + 45 = 5*q - l*x. Suppose q*g = 8*g - 1842. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4998*k + 19 + 2*k**3 - 17 + 10544*k + 39*k**3.\nAnswer: 41*k**3 + 15542*k + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 558 divided by 186?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is -12\/87061 less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -7209*q**5 + 7*q - 22 wrt q?\nAnswer: -144180*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1.9 or -3\/2?\nAnswer: -1.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let 6*b + 5*b**2 - 15*b + 20 + 7*b - 18*b = 0. What is b?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 2470629 and 943593?\nAnswer: 323652399","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.3 and 1.27689923.\nAnswer: 0.383069769","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 6219 - 6216. Let j = 5 + -3. Solve j*a + v*a = 4*t + 45, 3*t + 10 = -a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 408 is divided by 201.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1941516.\nAnswer: 2, 3, 17977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = -2*q**2 + 33*q - 15. Let f(w) = 2*w**2 - 32*w + 12. What is 3*f(r) + 2*z(r)?\nAnswer: 2*r**2 - 30*r + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*m**2 - 424*m - 428 = 0. What is m?\nAnswer: -1, 107","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -43*o + 72*o + 377. What is the closest to o in 3, -0.07, 0?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be -2 + -5 + -1 - 4. Let x be t\/(-8)*4\/3. What is the second derivative of -3*v**2 - v**x + 7*v + 0*v wrt v?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -109\/10 and -3\/1636?\nAnswer: 8180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 5939 and -2.353?\nAnswer: -13974.467","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"}
{"text":"Question: Let b be (6\/9)\/((-6)\/(-45)). Let u(s) = -s**2 - 13*s. Let a(k) = 2*k**2 + 20*k. Let v = 5 - -3. Let i(x) = b*a(x) + v*u(x). Suppose i(w) = 0. What is w?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 42 + -39. Let y = 457 + -452. What is the nearest to 2\/31 in l, y, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 0\/(-2) + 2\/10. Let q = 22 - 4. Let y be -1 + -2*(-3)\/q. Which is the second smallest value?  (a) d  (b) 2  (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 448 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:38 AM and 3:07 AM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-19549)\/(-2825) - 4\/(-50) - 47\/6?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 11097?\nAnswer: 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 162*b**3 - 26*b**2 + 4*b - 2876.\nAnswer: 972*b - 52","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert -3112145 (base 6) to base 4.\nAnswer: -210200201","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) 3\/2  (b) -1\/4  (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -777 - -1591. Suppose 7*j - 13743 = -s. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum -27.8 and 0.0553744028.\nAnswer: -27.7446255972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 34\/5 of a litre in millilitres?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -6 in 7, -1\/4, 3\/2, 2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-4)\/(-10) - 39\/(-65). Is -3\/19 less than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.1 less than 375?\nAnswer: 375.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -297*s**5 - 9*s**4 - 1654*s - 4 wrt s?\nAnswer: -5940*s**3 - 108*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) be the second derivative of -33*l**8\/2 - 193*l**4\/4 - 13*l - 10. What is the third derivative of w(x) wrt x?\nAnswer: -110880*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -2 - 4. Let a = -5 - w. Let r = 0.5 + -4.5. What is the nearest to a in -2\/7, r, -1?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 36332 to the nearest integer?\nAnswer: 191","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -5, -3, -2, 3.\nAnswer: -5, -3, -2, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = 2*w**2 + 41*w + 312. Let m be r(-13). What is the greatest common divisor of 36 and m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 204 + -2342233?\nAnswer: -2342024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(70)\/(sqrt(10) - (sqrt(10) + 1*sqrt(10))) - (sqrt(21)\/sqrt(3) + 4)) + -5 + 2 + ((-1*sqrt(28))\/sqrt(4) - 1*sqrt(252))*6 + 5.\nAnswer: -44*sqrt(7) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 62701874.\nAnswer: 2, 41, 764657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i - 1 - 2 = 0. Let m(s) be the third derivative of -s**6\/120 + s**5\/60 + s**4\/8 - 2*s**2. Calculate m(i).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from {y: 3, o: 1, e: 11}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -0.573 + -92.827. Which is smaller: a or -1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*z = -12 - 8. Let d be 2 + z\/(15\/(-9)). Suppose -v - 2*w + 14 = -d*w, 2*v - 4*w - 24 = 0. Solve v = -5*k - 7 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4\/5, 28, -33 in descending order.\nAnswer: 28, -4\/5, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -3.3 - 9.7. Let m = i - -11. Which is the closest to 0?  (a) -4\/3  (b) -1  (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = 0 - 3*k + 5*k + 5. What are the prime factors of d(7)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = -3*x - 25. Let a be q(-10). Let l(z) = 25*z**2 - 17*z. Let i be l(a). Round i to the nearest 100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*w - 6*w + 12*w + w.\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) be the third derivative of -5*u**4\/24 - 2*u**2 + 327*u. Let n(o) = 3*o + 7. Let c(q) = 2*q + 4. Let w(g) = 7*c(g) - 4*n(g). Give -4*j(y) - 14*w(y).\nAnswer: -8*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 36*((-10)\/(-4) - 1). Suppose 2*w = 52 + d. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9 = -y - 5*s, 2*y - 4 = 4*s - 3*s for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = 1. Let c(y) = -5*y + 5. Let i(d) = -c(d) + 4*x(d). Let u be ((-2)\/(-4))\/((-694)\/(-2776)). What is i(u)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 - -1 - 6 - (-9 - (20 - 25)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 3243 a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1.8 + -8. Let v = z - -0.7. Let w = 5.3 + v. What is the smallest value in -1, -23, w?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = t**3 - t. Let m be o(2). Let q be m*7\/42 + 13. Solve 0 = -4*x + 3*v + q, v + 0 = 2 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -2, 1334, 21\/358?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Does 160 divide 447520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = -x**2 + 7*x - 16. Let c(j) = j**2 - 8*j + 18. Let a(k) = 3*c(k) + 2*v(k). Let g be a(8). Solve o + g = -o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = 897*x**3 - 2*x + 1. Let l be z(1). Let k = l + -591. Calculate the common denominator of k\/10 - (-3 - -1) and -17\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*(4 + sqrt(44)\/sqrt(4) - (1 + sqrt(11))*-6)*-5 - (5*(3 + -2*sqrt(275) - sqrt(275) - -6*(sqrt(275) + 0)))**2.\nAnswer: -62300 - 2390*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Does 4 divide 44642?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 672566 or 0.1?\nAnswer: 672566","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((3 + sqrt(1377)*-6*-6*2*2 + -3)*-6*4)**2.\nAnswer: 16446799872","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -18 + (32 - -14 - 66)?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 154 + -143. Let d be 3 + 2 + (-22)\/4. Let k = 1 - 0.5. Put d, n, k in descending order.\nAnswer: n, k, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -190512*h + 7*h**3 + 1471514 - 11*h**3 - 1512*h**2 - 9473018.\nAnswer: -4*(h + 126)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 18022 is divided by 6007?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 5.6 - 6. Let t = 2.9 + -2.9. Which is greater: g or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 13 (base 9) in base 3?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 199*l + 2382 + 819 = -779 for l.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -475 - -506. What is the greatest common divisor of p and 217?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 25 = -7*t - 3 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = -20*b**2 - 4*b - 51. Let g(o) = -43*o**2 - 9*o - 103. What is -6*g(z) + 13*i(z)?\nAnswer: -2*z**2 + 2*z - 45","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Does 35 divide 26606?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 3956185 and 106.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*sqrt(35)*1)\/sqrt(7) + (0 + sqrt(605))*1.\nAnswer: 13*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -536, -2140, -4814, -8558, -13372?\n\"Answer: -535*p**2 + p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) be the first derivative of d**3\/3 + d**2\/2 + d - 2. Let b be z(-1). What is the nearest to b in 3\/2, 0.3, 4?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -44 divided by -2911973.\nAnswer: 44\/2911973","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 10223204134 + -131?\nAnswer: 10223204003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = 2*c**2 - 7*c + 1. Let x be i(4). Suppose -3*k + 0*h + 61 = x*h, -2*h - 38 = -4*k. Calculate the lowest common multiple of 6 and k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 50*o - 8*z + 12*z = 53*o + 25, -5*o + 11*z - 29 - 56 = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -7756, 2 in descending order.\nAnswer: 2, -4, -7756","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (16\/(-10))\/((-145)\/25 + 6). Let v be 75\/9 - 7 - i\/3. Solve -l + 15 = -v*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) be the first derivative of -37\/3*o**3 + 13 + 1\/2*o**2 - 16*o. What is the second derivative of g(p) wrt p?\nAnswer: -74","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from msssmsvmvmmsmmm. Give prob of sequence svs.\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:28 PM and 9:14 PM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:02 AM and 9:18 AM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((-22)\/(44\/7))\/(14\/8*-2). Let z be (-18)\/(-14) - (-3 - -4). What is the closest to -2 in -1.5, w, z?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = 7*p - 1. Let j be g(1). Let t = -4 + j. Let y be (3\/t)\/(5\/30). What is the greatest common factor of 36 and y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = -22*q + 12. Let i(f) be the first derivative of -2 - 5*f + 9\/2*f**2. What is -5*b(v) - 12*i(v)?\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-7 - -4) + -5 + -9 + 10.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 8\/11, 1, -83, 0.1, -0.4, 31.5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5220 = 119*m - 105*m - 594*m. Let a(w) = 3*w**2. Let q = 3 + -2. Let p be a(q). Solve -3*j - 2 = b + p*b, 2*j - 5*b + m = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -100000110110011100 (base 2) to base 15\nAnswer: -29d06","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"}
{"text":"Question: What is -71 + 77 - -55 - 70?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 8380 is divided by 2785.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.2 in -15, -0.04, 0.35, -4, 0.13?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-200)\/6*(3\/1 + -6). Suppose -4*m + 4*z + g = 0, m + 3*m + 3*z - 86 = 0. Calculate the greatest common divisor of 69 and m.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence yyy when three letters picked without replacement from yuytjqyy?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 366 is divided by 41?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 27 + -12. Suppose -r = -i - 2*i. List the prime factors of i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = j - 2*j. Suppose j = 8*t - 60 + 4. Solve -4*d + 9 = -t*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 605 minutes before 1:56 PM?\nAnswer: 3:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = -10*a + 14. Calculate s(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -2.79 plus -0.046810412?\nAnswer: -2.836810412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 116 smaller than 118?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 21995?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 944?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = -r**2 - 21*r + 57. Determine l(-22).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.255417 rounded to 3 dps?\nAnswer: 0.255","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 13*a - 7*a + 17*a**3 + 20*a**3 wrt a?\nAnswer: 222*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3049?\nAnswer: 3049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c*c*c**(35\/4))\/c**31 assuming c is positive.\nAnswer: c**(-81\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -9696 + 36578. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -7679*x + 7679*x + 679*x**4 - 3*x**3 + 2*x**4 + 3*x**3 + (0*x**2 + 0*x**2 - 2*x**2)*(-2*x**2 + 0*x**2 + 0*x**2) + 3*x**2 - 3*x**4 - 3*x**2.\nAnswer: 682*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -54, 1, -1.6, -1\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 11279?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -118 - -159. Suppose -n*v = -35*v - 62898. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) be the third derivative of -j**6\/120 + j**5\/12 + j**4\/8 - 4*j**2. What is the tens digit of s(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-2)\/(-4) + 22\/(-33). Suppose 0*x - 5 = 5*x, -5*i - 2*x = 402. Let b be ((-12)\/i)\/(-6*(-4)\/(-10)). What is the smallest value in -0.5, b, f?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -14 (base 6) to base 4\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = -6*z. Let q(h) = -6*h. Calculate l(q(b)).\nAnswer: 36*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 205 is divided by 35?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s be -6*((-1)\/2 - 0). Suppose 3 = -v + s*b, -3*b + 2*b = -v - 5. Is 4\/v - (-452)\/12 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from hwhwhhhh. What is prob of picking 4 h?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 90.73 - 94.73. Which is the fourth smallest value?  (a) m  (b) -1\/6  (c) -0.23  (d) 52  (e) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2223879 - 390.4336?\nAnswer: 2223488.5664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is x in 20*x**3 + 130772*x**2 + 32001176*x + 19153632 = 0?\nAnswer: -6284, -254, -3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3236394?\nAnswer: 2, 3, 7, 251, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = -7*k**2 + 12 - 2*k**3 - 3*k**2 + k**3. Let d be m(-10). Round d to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -377 + 370. Are j and -2\/9 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (148\/(-222))\/(2\/(-27))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1743720642 to the power of 1\/2, to the nearest integer?\nAnswer: 41758","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 36\/(-45) + 355\/(-25). Which is greater: -19 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 4 divide 88317?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = -715*r**2 - 85*r - 85. Let u(x) = 17*x**2 + 2*x + 2. Give 255*u(b) + 6*v(b).\nAnswer: 45*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) be the first derivative of 1280*i**2 - 1586*i - 6527. What is the derivative of o(h) wrt h?\nAnswer: 2560","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*k = -5*b - 100, -3*k + 50 = -3*b - k. What are the prime factors of ((-12)\/b)\/(1\/6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-14)\/(-63) - (-428)\/18. Suppose 0 = h + 4*h + 60. Let i(d) = -d**3 - 13*d**2 - 13*d - 8. Let z be i(h). Solve r - z*r = -k + 13, 4*k - w = 5*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j - 3 = -5*w - 33, 0 = w - 3*j + 20. What is the biggest value in -1\/4, -4, w, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -3 - -5. Let h be 186\/1395 + (-220)\/525. What is the fourth biggest value in 0.06, v, h, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 171251404 divided by -42812851.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.37, 14421, 0.04 in descending order.\nAnswer: 14421, 0.04, -0.37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 9\/2  (b) 1\/7  (c) 0.1  (d) 0.4  (e) -142  (f) 9\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find v such that -v**5\/9 - 47*v**4\/9 - 62*v**3\/3 + 1004*v**2\/9 - 200*v\/9 - 448\/3 = 0.\nAnswer: -42, -8, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 64 and ((-388)\/(-6) - (-19 + 9))*(1 + 17)?\nAnswer: 1344","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 114836 a multiple of 76?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -4 + 0. Which is the closest to 5?  (a) -1  (b) q  (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = b + 1. Let u be ((2 - -2) + 0)*1. Is 2 a factor of c(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*v + 17 + 38 = 0. Suppose 4*z - 2*z - 14 = 0. Let n = z + v. Sort -1, -5, n.\nAnswer: -5, n, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 1 - 81cd096?\nAnswer: -81cd095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 11371754249 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 21150*l - 21383*l - 15145 = 0 for l.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -3 + 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7272098 is divided by 23086?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i + 0*j = j - 5, -4*j = -20. Let k = 60 - 55. Suppose k*b + 0*h = -h - 9, -2 = 2*b + 2*h. Sort i, b, 12.\nAnswer: b, i, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2749169 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = -n**3 + 8*n**2 + 3. Let d be (-1)\/(2*(-2)\/32). Let p be a(d). Solve -p + 13 = -2*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*q + 5263 = -1811. What is the tens digit of (10 - 11)\/((-3)\/q)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {l: 4, o: 1, z: 8}. Give prob of picking 1 z and 3 l.\nAnswer: 32\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -462115382 + -5?\nAnswer: -462115387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*k + 2 - 14. Let t = 849 + -4276\/5. Which is bigger: t or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 555 and 330.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (4*u - 2*u - 4*u)*(-u - u + u)*(-3 + 4 - 3) to s*u**2 + x + k*u and give s.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (117\/26)\/(6\/(-8)). Does 6 divide -2*7*3\/o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l + w = -4*w - 6, 3*w = -6. Suppose 5*d = 2*m - 19, m - 3*m - 2 = 2*d. Calculate the greatest common factor of l and m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.03 - 2.03. Suppose 3*v - 27 = 5*q, 4*v - 9 = 5*q + 22. Put q, -0.3, d in increasing order.\nAnswer: q, d, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = -20*n**3 - 2*n + 13. What is u(-2)?\nAnswer: 177","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Does 114 divide 5586?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 274.7 * 396.6\nAnswer: 108946.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 14 (base 7) in base 16?\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*m - t + 4*t - 3347 = 0, -2*m = 3*t - 1346. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 3 + 294\/(-77) - -1. Put 4\/5, 1\/4, a, 2 in descending order.\nAnswer: 2, 4\/5, 1\/4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 29 - 4*i + 17 + 22 - 48 in the form d + h*i and give h.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*q - 709 = 5*p, -2*q - 4*p - 106 - 256 = 0. Let n = q - -1200\/7. Which is the closest to 3\/4?  (a) n  (b) -1  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16 = -0*v + 2*v. Let p be -2*(9\/(-6) - 1). Suppose 3*z - v*z = 4*u - 13, 0 = -2*u + p*z - 1. Solve -2*y + u*a = -5*y + 5, -y + a = -5 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add -869729 and -3362182.\nAnswer: -4231911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s**(1\/5)*s*s**(-3\/4)*s\/s**(10\/3)*s*s**(-3))**(-7\/4))**(-20) assuming s is positive.\nAnswer: s**(-1631\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Factor 6*v**3 - 92*v**2 - 166*v - 68.\nAnswer: 2*(v - 17)*(v + 1)*(3*v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -172623*v**2 + 3*v - 74861?\nAnswer: -345246","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 22 + -18. Suppose -4*r = -6 - 2, -r - 34 = -d*z. What is the highest common divisor of z and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 958.3509ml in litres?\nAnswer: 0.9583509","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 61463 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-1)\/1*(-2 - -3). Let o be i\/(120\/323) - -2. Let l = o - -1\/40. Is -3 != l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -12691, -1, 3 in ascending order.\nAnswer: -12691, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xjh when three letters picked without replacement from iiwiwhwjihxwiwi?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 4043361 (base 9) to base 15\nAnswer: 2c857d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -12, -4, 4637, 0, 3 in ascending order.\nAnswer: -12, -4, 0, 3, 4637","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*d - 6. Factor 10*m + 2*m**d + 2*m**3 + 6 - 2*m**3 + 2*m**2 - 4*m**3.\nAnswer: -2*(m - 3)*(m + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 146 + 1?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 26981.\nAnswer: 26981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 12737, 25470, 38203, 50936?\nAnswer: 63669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -10.2, -91, 5, 1\/6 in descending order.\nAnswer: 5, 1\/6, -10.2, -91","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Does 354 divide 2262268?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0 - -4. Let d(p) = -p**3 - 6*p**2 + 6*p - 2. Let i be d(-7). What is the remainder when 2\/i*105\/3 is divided by l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = -5*p**3 - 31*p**2 - 49*p + 37. What is the remainder when z(-9) is divided by 13?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*u - 781 = 107. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -3792083 or -3792090?\nAnswer: -3792083","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = 18 - 7*d**3 + 6*d**3 - 2*d**3 + 6*d**2 - 30*d + 13*d**3. Let k(b) = -b**4 - 21*b**3 - 12*b**2 + 61*b - 37. Let t(x) = 2*k(x) + 5*p(x). Factor t(l).\nAnswer: -2*(l - 4)*(l - 1)**2*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -35 - -34. Let n be (-3)\/b + (5*-1 - 2). Let d be ((-11)\/(-3) + n)\/((-1)\/9). Solve -4 = -d*q - 3*j - j, q - j + 8 = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_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: Is 66370919 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.001004980951 to 5 decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 27 and 153?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = x**3 + 5*x**2 - 6*x + 5. Let r = 0 - 6. Let l be y(r). Suppose -l*h + b + 51 = 0, -5*h + 6*h - 4*b + 5 = 0. List the prime factors of h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 1717747774 - 1717747766.39999931. Let h = -7.06 - 0.54. Let j = h + c. Round j to 7 decimal places.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*x - y + 7 = 0, 14*y - 16*y - 12 = -5*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*z**3 + 12*z**2 - 12*z**2)*(-26 - 12 + 4).\nAnswer: 68*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 11*w - 12*w - 4, -24 = -2*l + 5*w for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*u**4 - 2*u**4 + 5*u**4)*(4 + 5 - 2)*(u - 4 + 4).\nAnswer: -7*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify j**(-3\/11)*j*(j*(j\/j**6)\/j)\/j*((j**(3\/10)\/j)\/j)\/(j*j**(-3\/8)*j) assuming j is positive.\nAnswer: j**(-3783\/440)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = a. Let u be q(5). Suppose -2*j = -2*r + 2, -2*j + 8*r - 17 = 9*r. List the prime factors of (-16)\/j*585\/u.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*j + 171 = -3*j. Let p = j + 28. Calculate the smallest common multiple of 16\/(-3)*p\/(-6) and 20.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"}
{"text":"Question: Solve 4445*w + 3*n - 93 = 4442*w, -3*w - n = -135 + 46 for w.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k - 36 + 15 = 0. Suppose -5*g = 4*r - 32, 10 - 13 = -r. Sort 5, k, -5, g in ascending order.\nAnswer: k, -5, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = v**3 - 3*v**2 - 5*v + 14. Calculate h(4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = 12*d**2 - 8*d + 11. Let a(b) = 8*b**2 - 5*b + 7. Give 8*a(q) - 5*h(q).\nAnswer: 4*q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) be the first derivative of -2*r**5\/5 - 33*r**4\/2 - 64*r**3\/3 + 192. Factor h(s).\nAnswer: -2*s**2*(s + 1)*(s + 32)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 277*y + 15 = 274*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c = -5*f + 15, c + 3*c = -2*f + 30. Suppose -c*t - 20 = -170. What is the highest common factor of t and 75?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -1862 and -4?\nAnswer: 7448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from bkabavve. What is prob of picking 1 b, 1 e, and 1 a?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Does 96 divide 1311360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m be ((-4)\/14)\/(13\/(-2093)). Suppose -2*o - 2*t - 255 = 3*o, o + 64 = -3*t. Let r = o + m. Put r, 5, 3, -5 in descending order.\nAnswer: 5, 3, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 11\/(77\/35)*1\/1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor -9*m**2 - 5*m**2 - 5*m - m**3 + 8*m**2.\nAnswer: -m*(m + 1)*(m + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 9740*s**2 + 67755*s - 2975.\nAnswer: 5*(s + 7)*(1948*s - 85)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5 + (sqrt(119)*-2*-5 - (sqrt(119) - (sqrt(119) + sqrt(119)*-2*-4 - sqrt(119))))\/(4*2*-2*sqrt(112)))*-1.\nAnswer: -5 + 17*sqrt(17)\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand 69*f + 70*f - 141*f + (f - 7*f - f)*(0 - 2 + 3) - 2*f + 0*f + 0*f.\nAnswer: -11*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = x - 3*x + 342. Let g = -151 + x. Let s = -1 - -7. What is the lowest common multiple of s and g?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -1207, -3119, -6281, -10687, -16331, -23207, -31309, -40631?\n\"Answer: n**3 - 631*n**2 - 26*n - 551","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 26 + -24. Suppose -4*b + 14 = -n*b. What are the prime factors of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = -47*i**2 - 38*i + 11. Let y(t) = 24*t**2 + 19*t - 6. Let v(u) = 6*m(u) + 11*y(u). Find the second derivative of v(q) wrt q.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -12512 + 12513. Let r(u) be the third derivative of 0*u**3 - 3\/20*u**5 + 0*u - 1\/120*u**6 + q + 3*u**2 - 1\/3*u**4. Determine r(-8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (83*w - 202*w + 100*w - 4 + 4 + 2*w + (0 + 1 - 3)*(-2*w + 3*w + 0*w) - w + w - w)*(-w + 3 - 3) as d*w + h + l*w**2 and give l.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3853517.\nAnswer: 31, 197, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 74\/(-37) - ((-20)\/70 + 28200\/63). Are -449 and o unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 459487740 and 220?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 5 + -15292107?\nAnswer: -15292102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + -3 + 4 + 3 + (sqrt(2880)*2)**2 + sqrt(2880) + -3 + 3 + 1.\nAnswer: 24*sqrt(5) + 11524","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -111000100 + 1000100001100?\nAnswer: 111101001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = -d**3 + 8*d**2 + d - 3. Let l(u) = 3*u - 19. Let f be l(9). Let k be n(f). Solve 0 = -k*v + 2*v - 3 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 371 minutes after 6:48 PM?\nAnswer: 12:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: ((-12)\/30)\/(1\/5)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = -8*j. Let i(n) be the second derivative of 5*n + 0 + 0*n**2 + 1\/3*n**3. Determine p(i(t)).\nAnswer: -16*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 35 - 139\/4. Let x(m) = 9 - 6*m**3 - 5*m**2 + 8*m + 3*m**3 + 2*m**3. Let k be x(-6). Which is the closest to -2\/7?  (a) -0.5  (b) k  (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:21 PM and 9:38 PM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 13\/397716073 and 87\/4.\nAnswer: 1590864292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = 15*f - 1 + 23*f - 36*f. Let o(w) = -2*w + 1. What is -6*o(y) - 7*s(y)?\nAnswer: -2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c + 12 = c - 3*m, 5*c - 2*m - 14 = 0. Let f(u) = -3*u + 1 + c*u + u + u. Let b(n) = -2*n**2 - n - 1. Determine -b(d) - 2*f(d).\nAnswer: 2*d**2 - d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 0 + 5 - (-24 + 19) - (5 - 10). Let m = 1 - 1. Suppose -n - 3*k - 12 = -m*k, -3*k - h = 0. Solve -z + 2*z = n for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w + 3*f = 321, w + f + 663 = -3*w. Let n be (0 + -2)*w\/6. Suppose 55 + n = 5*z - 4*c, -c = 0. Is z a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -4b - 3576?\nAnswer: -35c2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3317*q + 2740*q - 1 + 1 + 647*q.\nAnswer: 6704*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Express -896567 + 896567 - 1610*z**2 in the form f*z**2 + r*z + o and give f.\nAnswer: -1610","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -1, -4, 1, -2, 60.\nAnswer: -4, -2, -1, 1, 4, 60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -743117238 - -743117165.99999724. Let v = -72 - o. What is v rounded to six dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 17162897 and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*v**2 + 194*v + 380.\nAnswer: 2*(v + 2)*(v + 95)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Put together 83 and 0.6.\nAnswer: 83.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 72840 is divided by 8768?\nAnswer: 2696","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -20002011120 (base 3) to base 2\nAnswer: -11101001101111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 803581 less than 803581?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 10 - -10301?\nAnswer: 10311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -210835383075\/44765896 - -135\/1598782. Let d = -4710 - a. Calculate the common denominator of -83\/32 and d.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -31*o**3 + 5*o**3 - 19*o**3.\nAnswer: -45*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 18780 + -18775. What is the biggest value in x, 1\/5, -15, 0.1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j = -5, -j = 3*d - 4*j. Find the common denominator of 37\/3 and (5 - d) + (-5)\/(-8).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 18130 divided by -5\nAnswer: -3626","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 32600397 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 792009906?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1006 or -1004?\nAnswer: -1006","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 64 - 64. Suppose 5*m + 5*d = 3 + 2, 4*m = 2*d - 2. Suppose m = s - 0 - 1. Which is the nearest to v?  (a) -5  (b) s  (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 6, 5, -66, -14 in increasing order.\nAnswer: -66, -14, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round -312000 to the nearest 10000.\nAnswer: -310000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19 - 9 = -5*s. Let c = s + 12. Let o = -1 + c. What is the least common multiple of 7 and o?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: (60 - (-66 + (36 - -5))) + -12\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 - -3 - -3 - (-11 - -16)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 23 = -11*s - 0*s + 56. Let q(f) = -f**3 + f**2 - 4. Let b(r) = r**3 - r**2. Calculate s*b(c) + q(c).\nAnswer: 2*c**3 - 2*c**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 16858 divided by -21.\nAnswer: -16858\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t - 40 = 4*j - 440, -656 = -5*t + 4*j. Let l be (-6)\/21 - t\/(-21). Suppose 4*z + 149 = 3*u, -l*u + 154 = -3*u + z. What is the tens digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (2\/7)\/(-5 - 256\/(-112))?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, -38, -30067, 0 in descending order.\nAnswer: 0, -4, -38, -30067","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 2395, 7006, 13807, 22798, 33979, 47350?\n\"Answer: 1095*y**2 + 1326*y - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 151664 + -565?\nAnswer: 151077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 29206, 56630, 84054?\n\"Answer: 27424*u + 1782","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x - 2*x + 25 = 0, 0 = 5*u - 5*x - 15. What is the tens digit of u\/3*147\/28?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 46, 4, 87 in decreasing order.\nAnswer: 87, 46, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 18*o - 292078352458 + 16*o + 292078352456.\nAnswer: 34*o - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -67 - -69. Let c = -139\/609 - 5\/87. Put c, s, 1\/4 in increasing order.\nAnswer: c, 1\/4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 4095792 and 4392?\nAnswer: 249843312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 1\/((-5)\/155) - (0 + 3). Let g = 37 + r. Solve -2*f = g*i - 1, 0*i - 2*i = -4*f + 10 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(60)\/(sqrt(108) + sqrt(108)*4 + sqrt(108) + sqrt(3) + sqrt(3)))**2.\nAnswer: 5\/361","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 399 is divided by 137.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d = -2*d + 160. Find k such that -10*k**5 + 23 + 30*k**3 + 8*k + d*k**2 - 23 - 4*k**4 = 0.\nAnswer: -1, -2\/5, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = -g. Let w(c) = 12*c + 2*c + 23 - 23. Determine w(h(a)).\nAnswer: -14*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 12 - 10. Suppose -4*w = 3*s - 149, -43 - 28 = -c*s + 3*w. What are the prime factors of s?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*c**2 - 6*c**4 + 3*c**2 - 151*c**4 + c**4 - 20*c**4 + (-3*c**3 - c**3 + 3*c**3)*(-2*c + 4 - 4) - 2*c**4 + c**4 + 0*c**4.\nAnswer: -175*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 214 - 427 - 4*p + 213.\nAnswer: -4*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*n + 8*n - 201 = 0. What is the tens digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = g - 3*o, -4*o - 8 = -2*g + 2. Suppose 4*f + 2 = 2*u, -4*f - g - 2 = u. Let y be (-3 - f)*(0 + -3). Solve 12 = -2*l + 2*m, m = -4*l - y*m + 16 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1536 is divided by 495?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -520, -2185, -4932, -8761, -13672, -19665, -26740?\nAnswer: -34897","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 1002731835 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -220538 (base 12) in base 5?\nAnswer: -114234100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = -32*z + 377. Calculate the remainder when 447 is divided by x(11).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from lvlvfkvalkz. Give prob of sequence fz.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-1378)\/(-3141)*(-1)\/2. Let g = 3780 - 1319221\/349. Let x = g + a. Do x and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) be the second derivative of p**4\/4 + 5*p - 3. Let h(d) = -42*d. Let r(w) = 14*w. Let g(a) = 5*h(a) + 16*r(a). What is g(o(f))?\nAnswer: 42*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*y + 680 = y. Let f = y - -140. Put f, 0.4, 7, -3 in descending order.\nAnswer: 7, f, 0.4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -524916 - -0.41403?\nAnswer: -524915.58597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z - 9 = 0, x - 3*z - 110 = z. Let h = x + 19. Calculate the remainder when h is divided by 46.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 6258559 by 15.\nAnswer: 6258559\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = 5*f + 5*y, 3*y + 4 + 1 = f. Find the common denominator of 18\/5 and 1068\/(-680) - f\/5.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5\/(((-1)\/(-2))\/(18\/(-36)))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r = -3*h + 24, 10*r + 10 = 13*r - 4*h. Let m be (32\/44)\/(r\/33). Solve 2*f + 13 = -k, -20 = m*f + 5*k + 15 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 100 + -63. Let o(d) = -23 + 5*d - 9 + 6*d - 24*d**2 - d**3 + a*d**2. List the prime factors of o(13).\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -167295 + 1.1143.\nAnswer: -167293.8857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 23138?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-6)\/(-4))\/((-12)\/(-32)). Suppose 0 = b + b - d. Put -1\/5, -1\/7, b in increasing order.\nAnswer: -1\/5, -1\/7, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 996305?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-43)\/(-4) + 2\/8. Suppose -2*w = -0*w - 8. Suppose 0 = -n + 40 + w. Calculate the highest common factor of n and b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -o**2\/3 + 349794*o - 91766881827.\nAnswer: -(o - 524691)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = -8*x + 12. What is j(-1)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Product of 4 and 61.\nAnswer: 244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -82 + 117. Suppose -9 = 3*j, -2*j + d = 3*s - 145. What is the remainder when s is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u = 2*u - 1000. Suppose u = 61*g - 56*g. Let h = g + -45. What is the second smallest value in -1\/10, h, -3, 2?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in -3, -1, -2, 1\/25, 3?\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 1816091 (base 12) to base 13\nAnswer: 1064536","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide 5 by -1287.\nAnswer: -5\/1287","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -659 + 664. Solve 40 = -x*y + 55 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1)\/175*-65 - (-2)\/10?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = -u**3 - 11*u**2 + 2*u + 146. Calculate the remainder when 257 is divided by n(-11).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -149\/12 and -53\/5432.\nAnswer: 16296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 47.9 - 50. Let o = -92\/45 - -139\/90. What is the nearest to -0.1 in r, o, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 10069?\nAnswer: 10069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.106025 in 0.44, -76, -3?\nAnswer: 0.44","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express -12*j + 240 + 332 - 341 + 14*j + 24*j as o*j + d and give o.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*6*5*(-2 + 4*sqrt(275) - sqrt(275))*3*1)**2.\nAnswer: -486000*sqrt(11) + 20079900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = -3*b**3 - 2*b**2 + 2*b. Calculate k(-2).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) be the first derivative of 1156*b**3\/3 + b**2\/2 + 62*b + 2218. What is the second derivative of z(k) wrt k?\nAnswer: 2312","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*o + 6 = -2. Suppose 9*w = o*w - 35. Let m(b) = 8*b**3 + 6*b + 6. Let l(h) = -7*h**3 - 5*h - 5. Give w*m(x) - 6*l(x).\nAnswer: 2*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 144 a factor of 5772672?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Add together 0.55 and 0.056453.\nAnswer: 0.606453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 76\/9 and -70\/51?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 0.3  (b) 234  (c) -18  (d) -1  (e) -2\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1439, -770, 293, 1750, 3601, 5846?\nAnswer: 8485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*r + 39 = 5*d - 2*r, -5*r = -4*d + 9. Does 3 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 13180, 54912, 124472, 221860, 347076, 500120, 680992?\nAnswer: 889692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8724*m - 487 = 8707*m + 6 for m.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000009464876 rounded to 7 decimal places?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: a304d (base 16) to base 6\nAnswer: 22151153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = -1013*s**2 + 23151*s + 33524100. Let n(d) = 225*d**2 - 5788*d - 8381025. Let f(o) = -2*i(o) - 9*n(o). Suppose f(t) = 0. Calculate t.\nAnswer: -2895","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (r - 2*r - r)*(3*r**3 - 10*r**3 + 78*r**3).\nAnswer: -142*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-320)\/240)\/(1\/3).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (h**2 + h**2 - h**2)*(-4*h**3 + h**3 - 2*h**3 + (1 + 2*h - 1)*(-2*h**2 - 2*h**2 + 5*h**2)).\nAnswer: -3*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u - 2*u + 13 = 3*a, 0 = -3*u + 12. Let z be 12*(a - (-3)\/2). List the prime factors of 4\/z + 125\/15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 0.067394 - 0.068. Round c to 5 dps.\nAnswer: -0.00061","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*o + 475 + 80 = 3*z, -412 = 4*o + 4*z. What is the lowest common multiple of 3\/12 + o\/(-16) and 2*-10*20\/(-16)?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = 2467*d + 3. Let i(j) = -9*j**2. What is i(s(b))?\nAnswer: -54774801*b**2 - 133218*b - 81","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is (205 - -157)*(-1)\/(-28) + (-2)\/(-28)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -5320 and -0.052.\nAnswer: 276.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) be the first derivative of -2*i**4 - 14*i**3\/3 - i**2 + 11*i + 172. Let d be m(-4). What is d rounded to the nearest ten?\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -4210, -4213, -4218, -4225, -4234, -4245?\n\"Answer: -o**2 - 4209","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*((2*sqrt(104) - sqrt(104))*1)\/(sqrt(72)*4).\nAnswer: sqrt(13)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1*70.\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0146662 rounded to three decimal places?\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 31 - (-71402)\/(-2394) - 36\/(-324)?\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h - 40 = -9*h. Suppose h - 2 = v. Let y(l) = -6*l - 2. Let o be y(-1). Solve -v + 18 = o*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 329 + -177. List the prime factors of j.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = d**2 + 11*d + 13. Let q be j(-10). Let w be (-2 - -1)*2*-1. Suppose 2 = t + t. Solve q*k - w = t for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -42*n + 46*n + 4. Sort 0.6, -5, 0, n in descending order.\nAnswer: 0.6, 0, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = -3*m**2 + 5*m + 2*m**3 - 5*m. Suppose -13*n = -17*n + 56. Let u(j) = -j**2 + 7*j**2 - n*j**2 + 5*j**3. Calculate -8*a(l) + 3*u(l).\nAnswer: -l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1410\/(-15))\/(16\/(-12)*124\/(-248)).\nAnswer: -141","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -85759922*z**3 - 391385182 with respect to z.\nAnswer: -257279766*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k + 8*k = -20. Let t be 66\/k*2\/(-3). Let j = t - 8. Solve b + 3*b - 5*c + 25 = 0, 2*c = -j*b + 10 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -50.0764 plus 0.3?\nAnswer: -49.7764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*i + 34 = o, i + 61 = o + 22. Suppose -18*r + 19*r = 35. Suppose -2*a - 3*a = -r. What is the remainder when o is divided by a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 12113042442 (base 5) to base 4\nAnswer: 312020130210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -401 = -35*w + 3869. What is the remainder when w is divided by 118?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6*p**3 - 622*p**2 + 4*p**3 + 622*p**2.\nAnswer: 10*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 21*a**2 + 17*a**3 - a**3 - 21*a**2 - 3*a**3.\nAnswer: 13*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Factor -l**2\/9 - 248*l\/9 - 15376\/9.\nAnswer: -(l + 124)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9*i = -611 + 557 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(2352) + -2)**2.\nAnswer: -112*sqrt(3) + 2356","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {i: 2, x: 1, g: 1, c: 4}. Give prob of sequence cg.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = -c**2 - 4*c + 2. Let w be i(-4). Suppose 3*x - 37 = -w*a - 0*x, 2*x - 65 = -5*a. What is the remainder when 31 is divided by a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 279 and 229028?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 17104998 divided by -6.\nAnswer: -2850833","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = -c**2 + 15*c + 10. Let f be d(13). Does 7 divide 121 + (2\/(-3))\/(12\/f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 17.12?  (a) 201  (b) 2  (c) -0.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*(-6*(sqrt(1900)*1 + 0 + (sqrt(3078)*-1)\/sqrt(2)) + 0))**2 + -3.\nAnswer: 681","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k*k*k**(13\/4))\/k*(k\/(k\/(((k\/(k**(-4\/17)*k))\/k)\/k*k)))\/k*k)**(-6\/5) assuming k is positive.\nAnswer: k**(-711\/170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 - 3 = -2*q. Let a be 3\/2*12\/9. Suppose c - a*c = -3. Solve 4*d = 2*o - 0 + 22, 25 = -c*o + q*d for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = -292*o + 1192. Calculate n(4).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1.067 - -0.067. What is the smallest value in -5, -1\/5, q?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 406 minutes after 9:20 PM?\nAnswer: 4:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 19175 and 6150?\nAnswer: 4717050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 60606568 to the nearest integer?\nAnswer: 393","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2059352.\nAnswer: 2, 47, 5477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = -2*n. Let c(r) = 27697*r. Give c(s(j)).\nAnswer: -55394*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 2010\/624 - 3 - 8\/(-52). Let v = 5 + -8. Let x be (-2)\/v*(-3)\/2. Is g greater than or equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2779.\nAnswer: 7, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2?  (a) 6.9  (b) 2  (c) 4\/5  (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 8164 and 3925.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-12)\/14 - (-175)\/490)*10\/1. Let c(s) be the second derivative of -s**4\/12 - 5*s**3\/6 - s**2\/2 - 3*s. What is c(y)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {x: 3, c: 5, m: 2, b: 3, o: 3, q: 3}. Give prob of sequence bx.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 95 a factor of 115516458?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Convert -12 (base 13) to base 16.\nAnswer: -f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) be the second derivative of t**2\/2 + 2*t. Let v(g) = g + 3. Let n(u) = -c(u) + v(u). Let j(b) = 2*b + 4. Let r(q) = 6*j(q) - 13*n(q). Calculate r(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {t: 1, z: 1, m: 1, v: 1, b: 1}. What is prob of sequence bvmt?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 0 divided by 6\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*b + 6*b - 5*b + b - 5 + 5 + (3 - 3 + b)*(-5 + 6 + 0) + 0*b - 3*b + 5*b - 2*b - 2*b + 2 - 3.\nAnswer: b - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 1596938647 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 224 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-192)\/9)\/((-46)\/69). Solve 3*k + b = 5*s, -3*s - 4 = -8*s - 4*k for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-29)\/(-2))\/29*5336. Is g smaller than 2667?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -1.3908 and -0.08.\nAnswer: 0.111264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = -w - 5. Let d be o(-6). Let x be -1 - (-2 + d)*6. Find the third derivative of 4*f**2 - 2*f**2 + 3*f**x + f**2 wrt f.\nAnswer: 180*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2136894 (base 10) to base 9\nAnswer: -4016236","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -193, -181, -149, -85, 23, 187?\n\"Answer: 2*s**3 - 2*s**2 + 4*s - 197","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -297468, -594931, -892392, -1189851, -1487308, -1784763, -2082216?\n\"Answer: z**2 - 297466*z - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = 11*l**2. Let p(w) = 7*w**2. Let g(h) = 6*p(h) - 4*z(h). Let t(v) = -73*v**2. Determine g(t(k)).\nAnswer: -10658*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0.4662 + -0.0662. Let r(a) = -a**2 + 7*a - 7. Let n be r(5). Suppose -n*g - s = -14, 31 = 4*g + 3*s + 4. Put 18, g, q in increasing order.\nAnswer: q, g, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -24.8251 plus 133054.7127?\nAnswer: 133029.8876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -0.2, -1\/3, 1, 1.019 in increasing order.\nAnswer: -1\/3, -0.2, 1, 1.019, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 103079250707 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -57 - -19?\nAnswer: -3a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n = -4*l - 2, 2*l - 14 = 2*n + 2*n. Let s(a) = -29*a**3 - a**2 - 8*a - 4. Let u be s(l). Let k = -547 + u. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) -2\/7  (b) -1\/5  (c) -4  (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = 33*y**2 + 171*y - 997. Is b(6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1401174 divided by 2907.\nAnswer: 482","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) be the second derivative of y**4\/4 - 4*y**3\/3 + 5*y**2\/2 - 2*y - 7. What is x(4)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -2\/23  (b) -2\/17  (c) 346  (d) -11  (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sum -822.334 and -1.\nAnswer: -823.334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 519 is divided by 138?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 b and 1 h when four letters picked without replacement from bhbbhbbhhpbbhhbbhbh?\nAnswer: 80\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1361?\nAnswer: 1361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 0 - -33 - (2 + 0). Suppose 2*u + 39 = -i. Let v = -35 - u. Solve -x + 4*x = -3*n + 21, v = -5*n + 20 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -222825, -445653, -668497, -891363, -1114257, -1337185, -1560153?\nAnswer: -1783167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1063209 and 20094.\nAnswer: 591","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 2*k**3*q + 2*k**3 + 2493*k*q + 9077*k with respect to q.\nAnswer: 2*k**3 + 2493*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -64 + 64. Are v and -4\/169 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -308 - 30 + 2*w**2 + 10 + 310 + 18 - 4*w**2.\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = -h**2 - 8*h. Let z be s(-4). Suppose -4*f + 3*y + 145 = 0, 4*f - 4*y = -3*y + 155. What is the highest common divisor of z and f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 27709 to the power of 1\/4, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1 + 597610*s - 1195216*s + 1 + 597605*s.\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 1309, 5449, 12367, 22063, 34537, 49789, 67819?\n\"Answer: 1389*v**2 - 27*v - 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 3.9 - 4. Which is the second smallest value?  (a) r  (b) 0  (c) 2\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 482.463 + 3.837. What is o rounded to the nearest 100?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6786 a factor of 514114146?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -530*y + 1213 - 1213.\nAnswer: -530*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-1170)\/60*10\/15)\/((-1)\/(-1))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 11 - ((-11 - (6 - 11)) + 30)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.01 times 43?\nAnswer: 0.43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 151348, 151338, 151326, 151312?\nAnswer: 151296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -1100111010100101001 (base 2) to base 3\nAnswer: -210111112102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 274 - 92 - 92 - 20*z - 91 + 21*z + 20*z**3 to r + t*z + b*z**2 + l*z**3 and give l.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*j - 0*j - 16. What is the hundreds digit of (-48)\/(-18)*j\/((-12)\/117)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express w**4 - 3*w**4 + 3*w**4 + (9301*w + 724*w - 2561*w)*(0*w**3 - w**3 - w**3) in the form n*w + m*w**2 + z + b*w**3 + f*w**4 and give f.\nAnswer: -14927","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -4435, -2088, 1827, 7310, 14361?\n\"Answer: 784*k**2 - 5*k - 5214","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5466*t**2 + 58*t**3 + 5468*t**2 + 5432*t**2 - 16366*t**2.\nAnswer: 58*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u**2 + 6868*u - 6864 = 0. What is u?\nAnswer: 1, 1716","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.44372026 rounded to three decimal places?\nAnswer: 0.444","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = -5*j**3 - 3*j**2 + 36*j + 92. Determine p(-3).\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -6 or -38?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = 2048*k**2. Let r(j) = 13*j**2 - 11*j. Calculate r(c(i)).\nAnswer: 54525952*i**4 - 22528*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is fourty-nine quarters of a tonne in kilograms?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 464 divided by -232.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:01 PM and 10:01 PM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (77\/28)\/((-68)\/816).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = -37*j - 50. Let w be o(-8). Let n = -226 + w. What is the greatest common divisor of 10 and n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 - 1 + 2)*(o**4 + 4201*o**2 - 4201*o**2 - 2066*o + 9708*o).\nAnswer: -2*o**4 - 15284*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 55*w**3*z**2 - 776*w**3 - 16*w*z**2 - 4*w*z - 61*w wrt w.\nAnswer: 330*w*z**2 - 4656*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.36 - 31.\nAnswer: -30.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = -10*k + k - 24 + 5*k. What is the tens digit of d(-16)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -3 * -0.3471.\nAnswer: 1.0413","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1578?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 45982 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: What is 31\/2 of a meter in millimeters?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in eleven quarters of a decade?\nAnswer: 330","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from {h: 3, f: 3, o: 1, t: 2, r: 3, l: 1}.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((3*2*sqrt(4860) + sqrt(4860) - sqrt(4860)) + sqrt(4860) - (sqrt(4860) + 3*2*sqrt(4860)))\/(((sqrt(240)*-2)\/sqrt(5))\/(2*-2*sqrt(4))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find t, given that 4*t**2 - 641984*t - 6420240 = 0.\nAnswer: -10, 160506","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 32*a - 87786 = -87018 for a.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) be the third derivative of -58*v**7\/105 - v**5\/30 + 881*v**4\/24 - 49*v**2 + 5*v. Find the second derivative of l(a) wrt a.\nAnswer: -1392*a**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -0.6, -1, 0.4, 5\/8?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*q + 5*x + 250 + 835 = 0, -5*x = -15. Suppose -3*f - q + 744 = o, -4*f = 4*o - 688. Calculate the greatest common divisor of f and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6 a factor of 4726135?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"}
{"text":"Question: Let y = 5 + -1. Which is the biggest value?  (a) y  (b) -0.09  (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3*i + 0*i**2 + 3*i**2 + 4*i)*(-1 + 0 + 0 + (-4 + 3 - 1)*(-2 + 4 - 4)) to f*i**2 + v + c*i and give c.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Add -0.3 and -3173887.\nAnswer: -3173887.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 700934351 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2218290 is divided by 2907?\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2*((-2)\/6)\/(2\/6).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence fftt when four letters picked without replacement from {t: 5, f: 14}.\nAnswer: 455\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (193 - (-813348)\/(-4212))*(-6)\/4.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 9 divided by -306.\nAnswer: -1\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 12267 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 2 - -2. Let h = -103.1 + 103. Sort -2, t, h, -4\/5.\nAnswer: -2, -4\/5, h, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*(0 + sqrt(2736) + -1 + (sqrt(2736) - (-1*sqrt(2736)*1)**2) + (-2 + sqrt(2736) + 5)*1).\nAnswer: -5468 + 72*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 6\/5?  (a) 0.8  (b) 100  (c) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 310 and 3844?\nAnswer: 19220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n = 2 + 5. Suppose 0 = -f + 3 - n. Let v = f + 21. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -652.868 to the nearest 10.\nAnswer: -650","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*u**4 - u**4 + 0*u**4)*(-26 - 42 - 14).\nAnswer: 82*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = 6*p - 14. Let m be z(-2). Is m != -24?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 310*b - 182 = -1112 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 w when three letters picked without replacement from {w: 3}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = 208*s**2 + 33*s - 230. What is the tens digit of v(8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = -f**2 + 3634*f - 25396. Give c(7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -2c359 - 3?\nAnswer: -2c35c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -2.53 - -1.84. Let w = 12.31 - p. Let f = 0.02 - 0.32. Which is the third biggest value?  (a) -2\/17  (b) w  (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3320 > 3321?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 2 + 80 + (104 - (-20 - -118))\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = -9*b - 1. Let k = -46 + 48. Suppose -3*p = k*q + 4, -q + p - 3 + 1 = 0. Determine w(q).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qttq when four letters picked without replacement from ttqttq?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -72 = -2*g + 24. What is the tens digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {v: 2, f: 4, t: 1, u: 1, x: 2, y: 2}. What is prob of picking 1 t and 1 x?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -29340 + 29352. Solve r*h = 11*h - 4*y - 15, 2*y + 20 = 2*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 16 a factor of 993392?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-20)\/(-8) + (-4)\/8. Solve 2*y = 3*y + i for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 193*p + 449 = -1168 + 163 - 1634 for p.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of ((-413)\/(-2) + -1)\/(15\/10)?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = 9*o + 5*o**2 - 4*o**2 - 4 - 10*o. Let h be j(-8). Let n = h - 64. Solve -b = n*b + 10 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3550 is divided by (-8)\/(-10) - 10360\/(-925).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 2573 or 2077?\nAnswer: 2077","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -52, -101, -160, -235, -332, -457?\n\"Answer: -i**3 + i**2 - 45*i - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1069, 1994, 2915, 3826, 4721, 5594, 6439?\nAnswer: 7250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 75238571 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in -2\/21, -35.339, 10?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*y - n - 9, 0 = -2*y - 2*y + n - 19. List the prime factors of (-321)\/(-21) - y\/(-14).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -0.5, 13.1, 0, -2\/11, 4\/7, -0.021?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Does 195184 = 195179?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -6 - -6. Let u(i) = -i**3. Let f be u(1). Which is smaller: f or c?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = -1. Let v(z) = z**2 + 2*z + 1. Let j(h) = r(h) + v(h). Let j(k) = 0. What is k?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -4638 + 180803\/39. Calculate the common denominator of -22\/21 and g.\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 - -3.4847511.\nAnswer: 2.4847511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1080)\/(-150)*(200\/(-168))\/(-5).\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i*i**(2\/27))**35 assuming i is positive.\nAnswer: i**(1015\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 3\/11615827 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is one quarter of a minute in milliseconds?\nAnswer: 15000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence rjj when three letters picked without replacement from {j: 4, r: 15}?\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Factor -b**4 + 58*b**3 + 5407*b**2 - 302572*b - 1292832.\nAnswer: -(b - 67)**2*(b + 4)*(b + 72)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: (-88*(-83)\/102256)\/(5\/(-6230))\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 56\/(-8) - ((-4195)\/(-145) + -36)\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 255608, 1022278, 2300012, 4088810, 6388672, 9199598?\nAnswer: 12521588","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 855075*j**3 - 46*j**2*o - 17*j*o - 3*j + 137658*o wrt j?\nAnswer: 5130450*j - 92*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -678 = -12*y + 6618. Let o = y + -330. What is the hundreds digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = l**2 - 41. Let k(j) = 234*j. Calculate k(d(r)).\nAnswer: 234*r**2 - 9594","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 7 - 4*w + 452 - 182 + 1204*w**2 - 53 wrt w.\nAnswer: 2408","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 3318 and 0.13.\nAnswer: 431.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 7*p + 4*p**5 + 2*p**2 - 2*p**2 wrt p.\nAnswer: 80*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -132 and 9.35?\nAnswer: -1234.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -7650, -30687, -69196, -123267, -192990?\n\"Answer: -15*q**3 - 7646*q**2 + 6*q + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 4667952176 to the nearest integer?\nAnswer: 68322","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ddwdwwwdddddwwwwwdwd. What is prob of sequence www?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 96 and 120.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 6 - 3)*(-2 - 1 + 0)*(-3*l**2 + 2*l**2 + 2*l**2 + (2*l - 3 + 3)*(3*l + 3*l - 5*l) - l**2 + 4*l**2 - 4*l**2).\nAnswer: 36*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 607517 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence uf when two letters picked without replacement from {f: 2, s: 1, o: 1, y: 2, u: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -24*k = -18*k + 162. Let y be (20\/6)\/(2\/(-36)). Let l = -88 - y. Do l and k have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-5)\/6*((-120)\/5)\/4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 71 + -56. Suppose 5*f + 1 = -v + 6*f, -3*f + j = 3*v. Solve -2*h - o + 25 = 3*h, 0 = h - v*o - 5 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 618 minutes after 6:04 AM?\nAnswer: 4:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7 + 107 - 3*p - 144 - 14 + 5.\nAnswer: -3*p - 53","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2 - (22 + -11 + -22).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -13934, -13920, -13906, -13892?\nAnswer: -13878","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*r = 2*a - 4, -57*a + 56*a + 2*r = -6 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 8 + 173. What are the prime factors of s?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = -10*y**3 + 50*y**2 + 45*y + 15. Let w(l) = l**3 - l**2 - l - 1. Let j(p) = -b(p) - 15*w(p). Factor j(g).\nAnswer: -5*g*(g + 1)*(g + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2798*q**2 + 2800*q**2 - 2 - 5 + 7.\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is (-10)\/(-36) + (5 - 55\/10)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t = -4*h - 7, t - 2 = 3*h - 4*h. Suppose 21 = t*f + 3*l, f + 8 = 3*f - l. Solve 2*g = -2*d - 10, -f*d = -d - 2*g - 4 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 6\/(36\/(-11))*-2*-3?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -5*t**5 - 23312605*t**3 - 2645*t**2 + 17421.\nAnswer: -300*t**2 - 139875630","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -1, 0.97, 3759\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) -1\/2  (b) 130  (c) -6  (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from ttltlt?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = 47*q + 474. What is the remainder when 2 - (-18 + (-2)\/(-1)) is divided by x(-10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -147139\/31660 + -4\/1583. What is the common denominator of v and -65\/6?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 122539 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 256 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c - 58 = 2*x, 3*c + 0 = -3. Find the common denominator of ((-9)\/42)\/(20\/805) and 14\/35 - (-227)\/x.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 4533 and 57.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -305001 - -304997. Let c(y) = -y**2 + 4*y - 2. Let k be c(3). Put k, b, 120 in ascending order.\nAnswer: b, k, 120","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 8067550906?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 50 - 36. Let g be s + 1*(-2 - -5). Solve -4*u + 0*j - 13 = -3*j, 0 = -5*u + 4*j - g for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 144 = 478*v - 496*v for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*s - 4662 = -25*s. What is the first derivative of 10*y + 118 + 115*y**2 + s*y**2 - 237*y**2 wrt y?\nAnswer: 8*y + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -3*(-3)\/27*496\/62?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -477346.2 or -17?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:05 AM and 6:51 PM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -50\/7869 and 2\/(-6)*(414\/36 + 1\/6).\nAnswer: 23607","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ifi when three letters picked without replacement from rirrriefiref.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -1244 - -17439\/14. Let v = 132 + -523\/4. Find the common denominator of v and t.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in 0.03, 3, 1\/4, -5991, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.2, -4, -34, -5, 0.03 in descending order.\nAnswer: 0.2, 0.03, -4, -5, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from rdeieyicr. What is prob of picking 2 e?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express (7 + 1 + 4)*(-q + q - 2*q)*(-2*q**3 - 2*q**3 + 2*q**3) as z + j*q**3 + u*q**4 + f*q + v*q**2 and give u.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 2209678181 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 g when three letters picked without replacement from {x: 5, g: 4, j: 1, s: 3, o: 1}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or 336\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = 3*n + 32. Let f be w(-5). Let x(z) = 3*z - 21. Does 7 divide x(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -s - 2*f - 27 = f, 3897 - 3956 = -3*s + 5*f for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 21726677*p**2 - 21726677*p**2 - p**3.\nAnswer: -p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-77)\/6 + (-923)\/(-71). Let y(w) be the first derivative of d*w**3 - w**2 + 3\/2*w - 8. Factor y(c).\nAnswer: (c - 3)*(c - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is v in 5*v**3 + 4513*v**2 - 6334*v - 5424 = 0?\nAnswer: -904, -3\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -138371, -553491, -1245359, -2213969, -3459315, -4981391, -6780191?\nAnswer: -8855709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -5, 1, 0, 1906 in descending order.\nAnswer: 1906, 4, 1, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3888*u**4\/5 + 1367064*u**3\/5 - 380865*u**2 + 132375*u = 0 for u.\nAnswer: -353, 0, 25\/36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*l + 4*l + 0*l)*(5 - 5 - 2*l) - 111*l**2 + 381*l**2 - 141*l**2 + (1 - 3 + 1)*(-2*l - l**2 + 2*l).\nAnswer: 126*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 1  (b) -0.26  (c) 2347\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = 15*m**3 - 13*m**2 + 13*m - 183. Let i(p) = 7*p**3 - 6*p**2 + 6*p - 93. What is -13*i(h) + 6*t(h)?\nAnswer: -h**3 + 111","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 17910289383 minus 1?\nAnswer: 17910289382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = -2*b**2 - 15*b - 5. Let j(p) = p**2 + 10*p + 3. Let q(y) = -8*j(y) - 5*m(y). Let g be q(4). What is the greatest common factor of g and 143?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g - 290 = -310. Let y(k) be the first derivative of -k**2\/2 + 1. Calculate the remainder when g is divided by y(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 16*q + 60*q + 700 = -64*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 248 is divided by 63.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 3 in 1\/2733, -0.3, -2\/7, -16?\nAnswer: 1\/2733","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.103 + 0.503. Let p = -111 - -101. Which is the closest to p?  (a) s  (b) -4  (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -11 - (-5 + -9 + 14 + -12) - 13?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find g, given that -5*g**3 + 103516815*g**2 = 0.\nAnswer: 0, 20703363","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15 = 5*m - 0. Suppose 0*j + 1935 = 4*j + m*g, 3*g = -3*j + 1455. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 945 = 119*h - 851 + 11 for h.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1023956403?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = 114*h**2 + 1595*h + 16. What is c(-14)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2*(-25)\/(-15)*(-14)\/(-105).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 0 + 4 - (-3 + 5 + 3)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0 - -0.5. Let l = 192 - 197. What is the smallest value in 0.2, l, m?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.049 times -12844.05?\nAnswer: 629.35845","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = -2*t - t + t. Calculate the least common multiple of q(-2) and (-13)\/(-11) + 14\/(-77).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 o and 1 u when two letters picked without replacement from {u: 2, a: 2, j: 2, o: 3}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4599*f - 49350 = 272580 for f.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 33 a factor of 3267?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -4 and 18727970563.6?\nAnswer: 18727970567.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3*m + 0 + 0 + m**2 + m**2 + 2*m**4 + 3*m**3 to h*m**2 + r + w*m + d*m**3 + q*m**4 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*v**2 - 2*v**2 - v**4 + (-v**2 - 2*v**2 + v**2)*(5 - 5 + 2*v**2) - 5*v**4 - 2*v**4 - 2*v**4.\nAnswer: -14*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 9\/515 <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ek when two letters picked without replacement from {e: 1, k: 3, r: 1}.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19 = s + 5*j, -4*s + 3*j + 4 = -3. Suppose s*g + 6 = 26. Put 3, -3, g in ascending order.\nAnswer: -3, 3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = -2*d + 22. Let w = -59 + 61. Suppose 0 = 2*k - o - 0*o - 18, w*k + 2*o - 6 = 0. Let j be p(k). Solve -x + 4*y = -4*x - 8, 5*x + 4*y = -j for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-2)\/42)\/((-162)\/81*(-2)\/8)\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a be -21*(12\/(-9) + 1). Let p(y) = -2*y + 1. Calculate p(a).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4271 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 7732043 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b*b**(3\/4)*(b*b**(-28))\/b*b*b\/(b\/(b**27\/b)*b*b)*b*b*b\/b**5*b)**(-33) assuming b is positive.\nAnswer: b**(297\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -7 - -5. Let k = 1 + p. Let u = 5.277 + -5.177. Sort k, 0.2, u.\nAnswer: k, u, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-6*k**2 + 3*k - 3*k)*(4 - k - 1 + 2) in the form o*k**2 + g + r*k + q*k**3 and give q.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 19583134379 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Add 58191716.7 and 5.\nAnswer: 58191721.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 46 + (-4 - -2 - 16) - -16\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 30632 and 24068?\nAnswer: 336952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -1666.6 rounded to the nearest 100?\nAnswer: -1700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 3*(-2215)\/735 - -9. What is the third biggest value in b, 5, -3\/8, 4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 50742 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: Calculate -3 divided by -7890572.\nAnswer: 3\/7890572","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -4407 + 4412. Let g(n) = 11*n**2 - 2*n. Let d(k) = 23*k**2 - 5*k. Give l*g(r) - 2*d(r).\nAnswer: 9*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 355 is divided by 93.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 2\/7  (b) -0.3  (c) -3.52\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1.1 - -0.1. Let f = -0.0466 + -48.1534. Let h = 39.2 + f. What is the closest to 0.2 in 3\/7, q, h?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = 7*f**2 + 44*f - 60. Let h(l) = 9*l**2 + 56*l - 59. Determine -4*h(a) + 5*y(a).\nAnswer: -a**2 - 4*a - 64","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -25  (b) 14187  (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*s + 4*n = 244, -2476 = -2*n - 2486 for s.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: (1\/(-3))\/(((-55)\/(-60))\/11)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve s - t + 1 = 0, 5*s + 24 = -t + 13 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = 51*p + 404. Let w be s(-4). Is 200 less than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 50.7 times -3?\nAnswer: -152.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from manobnl. Give prob of sequence lb.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = l**2 + 14*l + 18. Determine b(-12).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 0\/(-2) + (-8)\/2. Let g be (-3)\/(-6)*v + 6. Put 1, -6, g in increasing order.\nAnswer: -6, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-20)\/8*(-8)\/(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2 in 4, -3\/5, -2\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Put -4\/9, 3, 90, 0.5, 0.6292 in decreasing order.\nAnswer: 90, 3, 0.6292, 0.5, -4\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ncvcvyncwycn. Give prob of sequence vnw.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 y and 1 o when three letters picked without replacement from ooyyyyyyyeffyfyeyyyy?\nAnswer: 13\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = -3*u**2 + 71*u + 686. What is h(31)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*m - 5 + 2 - 3*m - 11*m.\nAnswer: -11*m - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = -4*q - 2. Let t be r(-4). Suppose -100 = -4*z - 0*z. Let u = z - t. List the prime factors of u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 3 and 55036.\nAnswer: 165108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 35928820.\nAnswer: 2, 5, 17, 105673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 at least as big as 88\/639?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*i - 33*i**3 + 41*i**3 - 3*i.\nAnswer: 8*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = -3*r + 11 - 2*r - 11*r**2 + 7*r**3 + 4 + 1 - 9. Let l(x) = -4*x**3 + 6*x**2 + 3*x - 4. Let a(w) = w + 11. Let o be a(-6). Calculate o*l(k) + 3*b(k).\nAnswer: k**3 - 3*k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d - 99 - 370 = 0. What are the prime factors of d?\nAnswer: 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 1318, 5236, 11758, 20878, 32590, 46888?\n\"Answer: -g**3 + 1308*g**2 + g + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l + 15 = -21. Let g = -5 - -5. Suppose g = -4*n - 43 + 111. What is the remainder when n is divided by l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 - -2 - (11 + (-72)\/7)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*a + 1 - 4 = 0. Let h be -1*(a + 27)\/(-2). Let i = -1 + 3. Solve -5*k - 4*x = -h, -4*x + 8 = -i*k + x for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine b so that -64*b**5 - 352*b**4 - 612*b**3 - 436*b**2 - 124*b - 12 = 0.\nAnswer: -3, -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 687 is divided by 53?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -20 in -29.9, -0.2, -0.5?\nAnswer: -29.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c**3\/c*c)\/c)**(9\/4)\/(c**(-3\/4)\/c)**(-5\/4) assuming c is positive.\nAnswer: c**(37\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 235326313.\nAnswer: 109, 761, 2837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.51707 + -0.10123. Round s to one decimal place.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 402102?\nAnswer: 2, 3, 89, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d**3 + 4*d**2 - 14*d + 8 = 0. Calculate d.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 189663676?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 3070 and 11016388?\nAnswer: 614","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-11)\/(-44))\/((-1)\/(-2)) - 1?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.30141 to 2 decimal places.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sum -5 and 55166188038.\nAnswer: 55166188033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 89 + -83. Calculate the lowest common multiple of 34\/u + (-23)\/(-69) and 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 192158 is divided by 64047.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 91998 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1903, -3797, -5691, -7585?\nAnswer: -9479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = -q + 53. Let r be u(51). Let j(y) be the third derivative of -11\/3*y**3 - y**r + 0*y + 1\/8*y**4 + 0. Differentiate j(w) wrt w.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 15 and -48.\nAnswer: -720","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 23750 is divided by 23744.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -356 + 353 = -z. What is the third derivative of 44*p**2 - 5*p**z - 139*p**3 + 8*p**3 - 11*p**2 + 212*p**2 wrt p?\nAnswer: -816","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = -r**3 - 7*r**2 + 1. Let m = 15245 + -15253. Give y(m).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*b + 36 = 4*t - 4*b, -t + 10 = 2*b. Calculate the remainder when (30\/(-9))\/(2\/(-9)) is divided by t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -9 + -3. Let t be b\/(4 + 0) - -463. Suppose -5*h - 110 + t = 0. What is the remainder when h is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 = 2*k, k = 3*g - 0 - 7. Does 2 divide (16 + -33)*-1*g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 293 minutes before 5:45 PM?\nAnswer: 12:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 8936196 a multiple of 1681?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -1681*-0.031\nAnswer: 52.111","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -1, -2, 2, -3, 3254 in descending order.\nAnswer: 3254, 3, 2, -1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = -9*o**2 - 6*o - 2. Let h be f(-2). Let u = 50 + h. Solve -u = 3*l - 3*b, -b - 11 + 4 = 2*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together -0.01245 and 1.5.\nAnswer: 1.48755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 316*x - 71 - 4985 for x.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 183*h**2 + 60*h**2 + 68*h**2 - 246*h**2 - 102*h**2.\nAnswer: -37*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 13425\/22 - 607. Let a = -4868925\/2366156 - -2\/45503. Find the common denominator of a and k.\nAnswer: 572","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 8840 and 884?\nAnswer: 8840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 416129 divided by 362?\nAnswer: 416129\/362","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -3209891552 and 0.3.\nAnswer: -962967465.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = n + 1. Let l be w(-1). Suppose -4*m + 2*q + 20 = l, -7*m = -2*m + 2*q - 25. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*v - m = 13, -v - 11 = -0*v - 5*m for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -93.7887 rounded to 0 decimal places?\nAnswer: -94","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -89 + 533\/6. What is the smallest value in -0.4, -5, 0.4, j?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j\/j**(5\/2)*j)\/j**(-12\/7))\/(j**(1\/5))**(-43) assuming j is positive.\nAnswer: j**(687\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12 - 12 = -4*z + 2*w, -2*z + 5*w = -28. Let s(b) = 5 - 4*b - z + b**2 + b**2 - b**2. Determine s(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3065*a - 2896*a = 1331 + 2556 for a.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 4*h + 4*a - 190 + 38, -10*h + 370 = 5*a for h.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 0 + 4 + -5 + -6 + 6\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = -21*l - 86. Let k be q(-5). Suppose 0 = -3*a - u, 0 = k*a - 18*a + 5*u. Put a, 0.2, 2\/35 in descending order.\nAnswer: 0.2, 2\/35, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 + -27 + (4 - -15)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) be the first derivative of o**2\/2 - 14. Let j be u(11). Suppose -t + j = -13. Calculate the greatest common factor of 72 and t.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -11938059.8319091 + 5.\nAnswer: -11938054.8319091","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q - 4 = -2. Suppose 3*d + 8 = 2*d - 2*j, 0 = -4*d + 4*j + 28. Suppose -l = -q*l - d. Which is bigger: 0 or l?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve v - 12 = -v + 5*k, 5*v - 3 = -k for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 0 - (3 - 2 - 41). Let q be (-494)\/(-12) - (-3 + (-56)\/(-21)). Let y = a - q. Calculate the common denominator of 101\/50 and y.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3612\/(-12642)*70\/75.\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*((-5 + -2*sqrt(605) - (-5 + (-2 + sqrt(605) - sqrt(605)) + sqrt(605))) + sqrt(605)*1 + -5 + (sqrt(605) + sqrt(605) + 0)*5)**2.\nAnswer: -1056*sqrt(5) + 77458","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x\/(((x**(-2\/89)\/x)\/x)\/x)*x**(-20\/9)\/x*x*x*x**(-1\/52)*x**2)**(2\/25) assuming x is positive.\nAnswer: x**(199139\/520650)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r = z + 3, -3*r + z - 10 = -13. Sort -1, -7, r in ascending order.\nAnswer: -7, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*l**3 - 2*l**3 + 2*l**3)*(-l**2 + 0*l**2 - l**2 + (0*l - 3*l + 4*l)*(-2*l + 0 + 0)) - 1104*l**5 - 632*l**5 + 424*l**5.\nAnswer: -1304*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 22712 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 23525198791 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = -3*r. Let s(g) = -989*g**2 - 2*g + 5. Calculate s(k(b)).\nAnswer: -8901*b**2 + 6*b + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 e and 2 v when three letters picked without replacement from {v: 3, e: 1}.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ujuujuuuuj. What is prob of picking 1 u and 1 j?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*r - 2*c - 1 = 21, -7 = -3*r - c for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 1986 to the power of 1\/2, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(112)\/sqrt(128))\/(-2*sqrt(63)).\nAnswer: -sqrt(2)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 76.3 + 17.7. Let k = 94.06 - x. Let t = k - 0.56. What is the nearest to -3 in 4, t, 3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d*d**(-3\/2))\/d)**(-34)\/(d*d**(3\/5)*d*d**(2\/3)) assuming d is positive.\nAnswer: d**(716\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + sqrt(475) + 1 + sqrt(2736).\nAnswer: 1 + 17*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.063 - 27.063. Let r = -26 - d. What is the third biggest value in r, 3, -2\/3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -766, -5999, -20148, -47671, -93026, -160671, -255064?\nAnswer: -380663","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -21.5922492 rounded to the nearest integer?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 270076 - 262992 - 1924*l - 3191*l with respect to l.\nAnswer: -5115","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 12\/3*(-3)\/2. Let r(h) = h**2 - 2*h + 7. Is r(s) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*m + 5*l - 16 = 0, -5*m + l + 20 = -l. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*x**5 + 708*x**4 + 742*x**3 - 11352*x**2 - 2936*x + 34080 = 0. Calculate x.\nAnswer: -4, -2, 2, 3, 355","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -73\/90420 and 161\/56449206.\nAnswer: 564492060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0 - 11 - (-172 - -166)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*r**3 - 3*r**2 + 3 + 6*r**2 - 2*r**2 to the form p*r**3 + j*r**2 + q + o*r and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (111*(-490)\/(-259))\/(1\/((15\/(-6))\/5)).\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = q**2 - 2*q - 3. Let u be s(-9). Suppose w + 32 = m + u, 5*m = 3*w - 196. List the prime factors of w.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1691?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -67\/62876 and -119\/6790608.\nAnswer: 6790608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 12191176423 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 52890045?\nAnswer: 3, 5, 13, 271231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 559107?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {b: 8, r: 2, s: 3, y: 2}. What is prob of picking 1 b and 1 s?\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -10 or 24106025?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Express -4*z**4 - 5 + 5 + (-2*z**3 - z**3 + 4*z**3)*(-2*z - 3*z + 2*z) as y*z**4 + j*z**3 + w*z + k + r*z**2 and give y.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (26044\/7660 - 262\/(-70)) + 8\/(-7).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 95820712 or 95820717?\nAnswer: 95820717","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 88239 and 603?\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*g + 3*s - 5 = 0, 2*g - g - 27 = -5*s. Suppose -g*q + 13 = 5. Sort -3, q, 0 in descending order.\nAnswer: q, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -11 + (-1 + 13 - -13)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 13\/20 and -59\/205.\nAnswer: 820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -2.04 and 81680.\nAnswer: -166627.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 < -2\/58007?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*j - 4*c = -22, 3*j - 13 = 6*j - 2*c for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 103 and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 68*u + 1688 = 72*u. Suppose -13*m + u = 2268. Which is smaller: m or -144?\nAnswer: -144","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*x**3 - 5465*x**2 + 355720*x - 2498560.\nAnswer: 5*(x - 1024)*(x - 61)*(x - 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 257 - 357. Sort g, 5, 4\/3 in decreasing order.\nAnswer: 5, 4\/3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do 123 and 43755\/356 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((y\/(y\/(y*y**2\/y*y))*y*y)\/y)\/(y\/((y\/(y*y*y*(y\/y**(-3\/4))\/y*y))\/y)))\/(y\/y**(4\/3)*y\/(y**(5\/3)\/y)*y)*((y*y\/y**1*y)**(12\/13))**42 assuming y is positive.\nAnswer: y**(3889\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:41 PM and 9:28 PM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -18266*q*y**3 + 38*q*y**2 + 2*q*y - 2520327*y**3 wrt q?\nAnswer: -18266*y**3 + 38*y**2 + 2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 17 + (-1 + 17 - (-132 - -136))?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 4*((-154)\/56 - 6\/(-2)). Suppose 3*t + 3*a = 15, t - q = 2*a + a. Suppose 0 = 2*f - 5*f - 2*o + 101, -t*f = -3*o - 129. What are the prime factors of f?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-17797)\/(-55) + (-6)\/33. Let w = a - 12821\/40. What is the common denominator of 93\/20 and w?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -104 + 122. Suppose y*s - 2046 = 15*s. Find the third derivative of 4*t**2 + 686*t**6 - 3*t**2 - s*t**6 wrt t.\nAnswer: 480*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.01 times 334\nAnswer: 3.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -3 + -1*2*(-5)\/10. Let m(x) = -x**3 + 57*x**2 - 51*x - 112. Let s(u) = 2*u**3 - 58*u**2 + 50*u + 112. Let q(b) = z*m(b) - 3*s(b). Factor q(v).\nAnswer: -4*(v - 14)*(v - 2)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**(-8))**(1\/9)\/((q\/(q**(-34)\/q))\/q)**47 assuming q is positive.\nAnswer: q**(-14813\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 2\/(-7) + (-14)\/((-4704)\/(-156))?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 39 = 6*q + 15. Let w be (17\/q - 2)\/((-11)\/(-308)). Calculate the highest common factor of w and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 8455\/8 - 1054. Do a and 4 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2775459 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 171 = 4*u + 159. Let r be (-3 - -2)*(-1 + 2). What is the smallest common multiple of u and (-11)\/(2 - (-3)\/r)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-94)\/(-329) + (-1)\/(7\/2). Suppose v = -5*b + 6*j - j + 150, 5*b + 4*j - 105 = 0. Solve -5*t + 5*f = -50, 3*f = 2*t - 0*f - b for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.02805 rounded to 2 decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 2115548686?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((5 + sqrt(8)\/(sqrt(8)\/sqrt(2)) + sqrt(2))*5 + 3*4*4*sqrt(32))**2.\nAnswer: 10100*sqrt(2) + 82233","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*b = 491 - 106. What is the greatest common factor of b and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 609 minutes after 9:10 AM?\nAnswer: 7:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Factor m**3\/3 - 45951*m**2 + 1583689725*m - 4750655625.\nAnswer: (m - 68925)**2*(m - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-46)\/115 + 0 + (-4)\/(-10). Solve b = -2*k - 4*z - z - 12, -3*k + 24 = -3*z for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x - 1 - 1 = 0. Let s(o) = 11*o + 2. Let u be s(x). Is 34 a factor of (-706)\/(-10) + u\/(-40)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -600845 and 5?\nAnswer: 600850","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -35, -3, 6\/61?\nAnswer: 6\/61","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 6877*c*f**2 + 67*f**2 - 1 with respect to c.\nAnswer: 6877*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = y**2 + 13*y - 11. Let n be k(-14). Suppose 13 = -c + n*q, -6 = 2*c + 4*q - 6*q. Find the second derivative of -2*o + 3*o - c*o**2 - 8*o wrt o.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1 (base 10) to base 8\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 28*x + 37*x**2 - 28*x.\nAnswer: 37*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 12ab491 (base 13) to base 8\nAnswer: 26334236","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) be the third derivative of k**6\/120 + 7*k**5\/30 - 5*k**4\/8 + 16*k**3\/3 + 3*k**2. Let o be i(-15). Suppose -7*w = w + o. Are -6 and w equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*o - 3*o**2 - 4*o)*(-102 + 96 - 4*o + 2*o).\nAnswer: 6*o**3 + 18*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n - 6 + 15 = -5*i, -4*n - i + 9 = 0. Let h(d) = d + 1. Let f be h(4). Let v = -8 + 15. Solve z - n*t = 3*z + v, -41 = -4*z + f*t for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = -4*c**2 - 5*c + 3. Let z = 51 + -46. Let x = z - 13. Let j(s) = -11*s**2 - 14*s + 8. Give x*m(n) + 3*j(n).\nAnswer: -n**2 - 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 324, 624, 924, 1224, 1524?\nAnswer: 1824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1600 - -4137. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ssma. What is prob of picking 1 m, 2 a, and 1 s?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: (-6)\/8 - (-1380)\/2160\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 555329?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3*t + 4*t - 4*t + (0 + 5 - 1)*(0*t - 4*t + t) to u + y*t and give y.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 27\/352 and -151\/168.\nAnswer: 7392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 11012201 + 11010022?\nAnswer: 22100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 68 = 4*z - 2*j, -66 = -4*z + j - 0*j. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 97a6 (base 16) to base 7.\nAnswer: 221120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 112cd8 - 36d?\nAnswer: 112969","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is f in -4*f**4 - 12*f**3 + 128*f**2 - 240*f + 128 = 0?\nAnswer: -8, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = p. Let j(n) be the first derivative of 1 + 0*n**3 - 2*n + 0*n**2 + 1\/4*n**4. Let c(k) be the first derivative of j(k). Determine c(d(o)).\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13 = x - 2*x. What is the remainder when x is divided by 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-1 + 2)*2 - 0. Let a(l) = -l**2 - 3 + l**q + 3*l**2 - 4*l**2 + l. What is a(0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -2813 and 568.78523?\nAnswer: 3381.78523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = -a**3 + 3*a - 4. Let h(q) = -q**3 - 1. Calculate -3*h(c) + k(c).\nAnswer: 2*c**3 + 3*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 121, 0 in increasing order.\nAnswer: 0, 5, 121","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = -g**2 + 14*g + 33. Let c be q(16). Let o be -1*(30\/(-180) - c\/(-6)). Solve 7*i - 3*i - 16 = o for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-212*v**2 - 67*v**2 - 51*v**2)*(14*v - 19*v**2 - 14*v + (2*v + 2*v - 6*v)*(-v + 2*v - 2*v) - 2*v**2 + 3*v**2 - 2*v**2 + 3 + v**2 - 3).\nAnswer: 5610*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*f + 0*f + 0*f)*(-6*f + 3*f + 5*f)*((0 - 2 + 0)*(f + 1 - 1) - 2*f + 37 - 37)*(-23 - 2 + 8).\nAnswer: -272*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 436 is divided by 87?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -19730 = 980*m + 44*m + 20566 + 53912 for m.\nAnswer: -92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*(3*sqrt(300) + 4 + -4)**2.\nAnswer: 10800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z*(z*z*z**6\/z)\/z)\/z*z**(-1))\/((z\/z**(-4)*z*z*z)\/z**2)*((z*z**(-1\/2)*z)\/z*z*z\/z**(-2))**(-7) assuming z is positive.\nAnswer: z**(-65\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {x: 3, g: 12}. What is prob of sequence xxgg?\nAnswer: 11\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m + m = 162. Suppose -b - 2*b = -m. Let n(c) = -3*c**3 - c**2 - 14*c - 13. Let v be n(-1). What is the greatest common divisor of v and b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 11 + -11.3. Let p be (2\/(-1))\/(2\/(-5)). Which is the nearest to 0?  (a) -2\/9  (b) p  (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 0.662012l?\nAnswer: 662.012","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = -f. Let a(s) = -25*s + 20. Let z(m) = 8*m - 7. Let b(u) = -3*a(u) - 8*z(u). Calculate q(b(w)).\nAnswer: -11*w + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 6\/9 + 181\/3. Suppose 3*t + 3*u + 27 = -0*u, u - f = 4*t. What are the prime factors of (1 - 3)\/(t\/77)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) be the first derivative of a**5\/120 + 22*a**3\/3 + 113. Let m(k) be the third derivative of z(k). Let o(l) = 3*l. Determine m(o(s)).\nAnswer: 3*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*k + k**2 + 43*k**2 + 3*k - 49*k**2.\nAnswer: -5*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = 13257*f - 84. Let v(a) = -1420*a + 9. What is -10*u(j) - 93*v(j)?\nAnswer: -510*j + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 54*r + 40 = 46*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((4 + 2 + 0)*(0 - 2 - 5)*(0*x - 2*x + 4*x) - 2*x - 3*x + 4*x - x - x - 2*x + (6*x - 4*x - 3*x)*(-3 + 3 - 8))*(2*x + 0 + 0).\nAnswer: -162*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort -205, -7, 2, -154 in ascending order.\nAnswer: -205, -154, -7, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0002964 rounded to 5 decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let 4*j**5 - 3*j**5 + 653180*j + 33*j**4 - 653212*j + 31*j**3 - 33*j**2 = 0. What is j?\nAnswer: -32, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 45 + -54. Let o(z) = z**2 + 7*z - 10. Calculate o(m).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*u - 3*o + 11 = 0, -4*u + 5*o + 20 - 41 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -414, -1270, -2596, -4392, -6658?\nAnswer: -9394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-6 - -3) + (8 - (-5)\/(5\/(-4))). Let f = 389 - 257. Which is the third biggest value?  (a) f  (b) 0.3  (c) h  (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) be the first derivative of y**6\/144 - y**5\/20 + y**4\/12 - 4*y**3 - 9. Let f(x) be the third derivative of a(x). Factor f(k).\nAnswer: (k - 2)*(5*k - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 1*3 - (0 + 9 + 6). Let z be 18\/n*(1 - (-2)\/2). Is z > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*z**3 - 5*z**3 + 3*z**3 - 4*z**3.\nAnswer: -8*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find s, given that 2*s**4 - 169336*s**3 + 3584843052*s**2 - 21501777464*s - 25086789854 = 0.\nAnswer: -1, 7, 42331","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 327288 divided by 1?\nAnswer: 327288","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -74640\/7 or -10663?\nAnswer: -10663","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -10218, -10082, -9938, -9786, -9626, -9458, -9282?\nAnswer: -9098","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert -59c06 (base 16) to base 8.\nAnswer: -1316006","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 44.36593l to millilitres.\nAnswer: 44365.93","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = 37*b**3 + 3*b**2 - 4*b + 24. Let c be o(6). Round c to the nearest one thousand.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 2\/2578575 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 3962489771 a multiple of 2597?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 313 minutes after 9:44 PM?\nAnswer: 2:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -143\/4320 and -107\/3456.\nAnswer: 17280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((s*s\/(s*s*s**(2\/5)*s)*s)\/s*s)\/s*s*(((s**(-1\/2)*s)\/s)\/s)\/s)**(1\/28)*((s**(-1))**(-16\/3))**(-8\/5) assuming s is positive.\nAnswer: s**(-1451\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = 2*o + 7. Suppose -4*z + 18 = 2. Let p be i(z). Let k = -8 + p. Solve 0 = -4*t + 5 + k for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-54)\/(-12) - (-2)\/(-4). Determine j, given that -j**5 + 8*j**3 + r*j**4 - j**4 - j**2 - 11*j**3 + 2*j**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7277?\nAnswer: 19, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (4 - 2)\/2*-8. Let h(a) = a + 7. Let g be h(u). What is the nearest to g in 0.1, -2, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -57 + (10490 + -10456 - (0 - (-19 - -1))).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d - r = -8, -2*d + 3*r = -0*d + 21. Calculate the remainder when ((-120)\/(-9))\/((-1)\/d) is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 47 + -50 + 2 + 0\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q = 0, 15 = 2*k + k - 5*q. Suppose -3 - 77 = -k*i. Is 8 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k = 2*d - 14 - 4, 2*d - 20 = -5*k. What is the lowest common multiple of k and 0 + -3 + 2 + 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 11031312, 22062623, 33093934, 44125245?\n\"Answer: 11031311*r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -1100 divided by -2\nAnswer: 550","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 40 + 160 = 5*w. Does 15 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-24)\/(-40))\/(3\/2). Which is greater: k or -1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -1, 2.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 119 + -127 - (-1 + -1 + 4 + -9)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = w**3 + 7*w**2 + 3*w - 8. Determine r(-6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 5  (b) -1  (c) 2  (d) -9  (e) 0.025\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -5 + -2430?\nAnswer: -2435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 774718470?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (268*f - 721*f - 1279*f)*((3 - 3 - f**2)*(3*f**2 + 5*f**2 - 2*f**2) + 3*f**4 + 2*f**4 - 6*f**4).\nAnswer: 12124*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y - 4 = -0. Let p be y\/10 + 252008\/(-40). Round p to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 10558 * -0.07.\nAnswer: -739.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 2\/825 + 163\/825. Factor 2\/5*w + 0 + d*w**2.\nAnswer: w*(w + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:39 PM and 5:07 PM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 648 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 20.85 - 20.7. Which is the smallest value?  (a) -3  (b) 0  (c) h  (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 92085771?\nAnswer: 3, 30695257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1123*s + 4309 + 48472 = 0 for s.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*n**2 - 110084 + 110084.\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) be the third derivative of p**6\/120 + p**5\/6 - p**4\/2 - p**3\/6 - 5*p**2 - 2*p - 9. Let k = 9 - 20. Determine h(k).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-3)\/6)\/((-5)\/(-20))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 4*p*r**5 + 238*p*r + 722*r**5 - r wrt r.\nAnswer: 80*p*r**3 + 14440*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 21, 8, 1, -20, 48, -4 in decreasing order.\nAnswer: 48, 21, 8, 1, 0, -4, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t + 4 + 25 = 0. Let m = 69330 + -68870. Calculate the remainder when m is divided by t.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = -h**3 + 9*h**2 - 21*h - 4. Let c be y(4). Let b be (c\/(-10))\/(58\/10 + -6). Let g be 2\/(-8) - (-21)\/(-12). Put b, g, -8 in increasing order.\nAnswer: -8, b, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.986 - 1. Let f = g + 6.614. Let v = -6.02 + f. Round v to one decimal place.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-6)\/30*0\/(-9)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 34 divided by 40408\nAnswer: 17\/20204","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -82*z - 8 = -83*z for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is (-1578 + 40)*251\/(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in thirty-four fifths of a millennium?\nAnswer: 68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*n - 4*z + 13, 7*n - 13 = 8*n + 3*z. Let v be 3\/n + (-477)\/63. Let u(w) = w + 10. What is u(v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h = -4*i - 76, -2*i = h - 4*i - 23. Let n be (6\/h)\/((-1)\/(-5)). What is the first derivative of 2*c**2 + c**2 - 4*c**n - 2 wrt c?\nAnswer: -2*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u\/(u*(u\/u**(-1)*u)\/u))\/u*u)**(1\/26)\/(u*u**0*u)**(-26) assuming u is positive.\nAnswer: u**(675\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -220, -5, 64, 0, -1 in increasing order.\nAnswer: -220, -5, -1, 0, 3, 64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = 2*l**3 - 37*l**2 - 24*l + 91. Let s be v(19). Sort 52, 5, s in increasing order.\nAnswer: s, 5, 52","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1 + 0 + -3 - (-7 - -5)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -5, -9, 969, 0.1333, -1\/2, -2?\nAnswer: 0.1333","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (80*c**2 - 346 + 346)*(-2*c**2 - 2*c**2 + 5*c**2).\nAnswer: 80*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 331 - 163. Suppose 2*q - j = -2*f + 6*f, 5*q - 402 = 4*f. Does 14 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do -27484 and -27486 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*z = -41 - 19. Let h be 216\/8*(-4)\/(-18). What is the least common multiple of 2 and 1*h*(-10)\/z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:43 PM and 5:31 AM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 425 a factor of 44583253?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.3?  (a) 0.5  (b) 2\/7  (c) 1\/8  (d) -1.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 13696 and 554902?\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Factor h**2 - 13*h + 12.\nAnswer: (h - 12)*(h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 29*s = -53*s + 1901 - 1245 for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i - 49622 = 2*s - 241632, 0 = -5*s + 2*i + 480010. Suppose -s = -3*h - 0*h. Round h to the nearest 10000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = -23*j - 136. Determine n(151).\nAnswer: -3609","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*v + 81 = 219. Let g = 12 - 3. Calculate the remainder when v is divided by g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((u**15\/u)\/u*u)\/(u*u**(-11)))\/(u\/u**(-3\/13)*u**(1\/11)) assuming u is positive.\nAnswer: u**(3243\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 w and 1 h when two letters picked without replacement from {w: 7, h: 1}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = 1483*u - 789*u + 91*u**2 - 694*u. Let v(p) = 0 + 0 + 2*p**2. Calculate v(t(y)).\nAnswer: 16562*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = q**3 - 15*q**2 + 2*q - 9. Let a be 91\/6 - 1*(-3)\/(-18). Let r be d(a). What is the units digit of 56*(2 - 3 - (-57)\/r)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 43792\/29 smaller than -9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -23, -43, -61, -77, -91, -103?\n\"Answer: y**2 - 23*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {p: 3, h: 4, s: 4}. Give prob of picking 3 s.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Round -63070.4935 to the nearest one hundred.\nAnswer: -63100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(264)\/sqrt(6) + (sqrt(11) + -1 + 3)**2.\nAnswer: 15 + 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.848 - -1.036. Which is greater: q or -0.01?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -30 + 58. Suppose 4*v + 8*b - 55 = 5*b, -v + 28 = -4*b. What is the remainder when o is divided by v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together 14003 and -103.\nAnswer: 13900","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = 0*r**2 + r**2 + r**2. Let n(l) be the second derivative of -l**5\/60 - l**3\/3 + 2*l. Let u(a) be the second derivative of n(a). What is b(u(z))?\nAnswer: 8*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 234, 935, 2038, 3543, 5450, 7759, 10470?\nAnswer: 13583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Does -26345937 = -26345940?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = 2*u - 1. Let f be ((130\/15)\/13)\/((-4)\/(-18)). Suppose f*p - 3 = -0*p. Determine j(p).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0 - 10854*h - 3 + 4 - 16732*h.\nAnswer: -27586*h + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -1125\/17 + 22565\/323. Is 4 >= x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 89 minutes before 2:45 AM?\nAnswer: 1:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -99 + 104. Suppose l*f - f = 80. List the prime factors of f.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = y**3 - y**2 + 1048*y + 2558. Determine k(0).\nAnswer: 2558","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:43 AM and 10:36 AM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2168?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = f**3 + 266*f**2 + 13190*f - 2007. Give w(-200).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = -3591055*o - 36102. Let w(a) = -5470*a - 55. Calculate -3282*w(j) + 5*x(j).\nAnswer: -2735*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -2 + 4. Let v be ((-49)\/98)\/((-1)\/(-12)*(-9)\/6). Solve 18 = -v*j - o*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 203 (base 6) to base 14.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = v. Let i(j) = 39*j**2. Give r(i(s)).\nAnswer: 39*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2925\/(-75))\/(3\/((-21)\/(-7))).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1896 by 12.\nAnswer: -158","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) be the second derivative of -a + 0 - 1\/2*a**3 + 0*a**4 - 3\/20*a**5 + 0*a**2. What is the second derivative of c(r) wrt r?\nAnswer: -18*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2)\/(-4) + -16 + 8360\/532.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w**(1\/2))**(-1\/7)\/(w**(1\/2)\/(w\/w**(1\/7)*w)))**(1\/55) assuming w is positive.\nAnswer: w**(9\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 54\/287 and -121\/738?\nAnswer: 5166","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort 13, -0.6329, -75 in ascending order.\nAnswer: -75, -0.6329, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 53 is divided by 20?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 1223972 and -190?\nAnswer: -232554680","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*j = 38 - 13. Let t = 131 + -133. Sort j, t, 2.\nAnswer: j, t, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-3280)\/164*6\/5?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = -71*w + 736. Calculate t(10).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from elcckkklenwkwl. What is prob of picking 1 k, 1 c, and 2 e?\nAnswer: 8\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*b - 14 = -4. Let g(s) = -3 - s**2 + 1 - 6*s + 2. Let k be g(-6). Solve k = b*x + 3*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r + 4*r - c = 119, 0 = -2*r - 3*c + 34. Let i(v) = 23 - 3*v + 4*v - r. Let z(y) = 5*y. Determine z(i(k)).\nAnswer: 5*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is (-3978)\/102*4\/(-12)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 2, -0.1, -7, -0.47, 15?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 24227.\nAnswer: 7, 3461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 l and 2 a when four letters picked without replacement from {z: 10, a: 4, l: 6}?\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 6 a factor of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 70, 397, 1292, 3037, 5914, 10205?\nAnswer: 16192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -2\/175 or 0.0991?\nAnswer: 0.0991","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -48 - -44. Let a(f) = -f**2 - 3*f + 3. Determine a(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = 16*h**4 + 9*h**3 - 38*h. Let y(a) = a**4 + a**3. Let i(v) = -3*o(v) + 24*y(v). What is the second derivative of i(c) wrt c?\nAnswer: -288*c**2 - 18*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -5680*f**4 + 97*f**2 + 4334576 wrt f?\nAnswer: -22720*f**3 + 194*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -2  (b) 0.1  (c) -3.5  (d) 5\/9  (e) 3  (f) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 9885201, 9885189, 9885177, 9885165, 9885153?\nAnswer: 9885141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*a + j = -41204, 0 = -5*a - j + 40854 + 352. Is 18 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 16709, 35855, 54997, 74135, 93269, 112399?\n\"Answer: -2*d**2 + 19152*d - 2441","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 10*(-6)\/9*(-93)\/5. Let h = -58 + x. What is the tens digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = 134*o + 1 - 2 - 137*o. Let r(q) = -6*q - 1. Let d(t) = -3*r(t) + 5*v(t). Determine d(4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 29*v + 15271 - 118481 = 26101. What is the highest common divisor of 13 and v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l + 141 = 3*r - 0*r, -3*l - 4*r = -97. List the prime factors of l.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = -k**3 + k**2 - 21*k - 14. Let c be m(-6). Let l(o) = -3 + c*o - 168*o - 184*o. Determine l(-3).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 702 minutes before 6:19 AM?\nAnswer: 6:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000002668622 rounded to 7 dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -77*x - 5*x**5 - 125 + 65*x - 170*x**3 + 88*x**2 + 55*x**4 - 18*x**2 + 187*x = 0. Calculate x.\nAnswer: -1, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/2?  (a) 2\/3  (b) 2\/11  (c) -4\/7  (d) -4.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Product of -678158 and -1399.\nAnswer: 948743042","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put together 34 and -57568835.\nAnswer: -57568801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 64 a factor of 387968?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -10 - (-42 - -24) - (-3 - 5) - -39?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-one fifths of a meter in millimeters?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence axaj when four letters picked without replacement from {z: 3, x: 4, a: 6, j: 1}?\nAnswer: 5\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Work out 4 + 121967.56.\nAnswer: 121971.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(8)\/sqrt(100) + sqrt(20)\/(sqrt(20)\/sqrt(2)).\nAnswer: 6*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -87930, -175883, -263840, -351801?\nAnswer: -439766","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.08187 and 2.\nAnswer: -0.16374","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*j - 11 = -116. Calculate the lowest common multiple of j and 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = -c**2 - 7*c + 373. Calculate t(16).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is -4210091 at least as big as -4210094?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 181160 - 181078. Suppose -3*y - 8 = -23. Put 2, a, y in ascending order.\nAnswer: 2, y, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) be the second derivative of a**6 - a**3\/2 + 36*a**2 + 22*a. What is the derivative of p(m) wrt m?\nAnswer: 120*m**3 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = -1232*l + 2213. Let p(h) = 4928*h - 8875. Let q(c) = 4*p(c) + 15*v(c). Differentiate q(f) with respect to f.\nAnswer: 1232","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3 - ((-10)\/(-8))\/(1\/4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*p**4 + 5*p**3 + 60*p**2.\nAnswer: -5*p**2*(p - 4)*(p + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 z and 1 c when two letters picked without replacement from czzz.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-2)\/(-8))\/(-1) - 2331\/(-252). Let n be -3*(-3)\/x*11. Which is the closest to 0?  (a) -0.3  (b) 1  (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.058775 * -7197.\nAnswer: 423.003675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 11686 - 17*o**3 - 12*o**3 - 11688 + 8*o**3.\nAnswer: -21*o**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*d - 10*d - k = -9, 56*d + 32*k = 50*d - 60 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:40 PM and 11:00 PM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 35*(-1)\/(-20)*4.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h**3 + 18*h**2 + 60*h - 200 = 0. What is h?\nAnswer: -10, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) 2  (b) -7  (c) -5\/124\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/3?  (a) 3  (b) 8.945  (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (3\/1)\/((-1178)\/(-392) + -3). Suppose -i = -6*v - 72. List the prime factors of v.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = f**2 + 3*f - 4. Let r be w(4). Suppose -r = -2*b - 5*g, -b - 2*g + 12 = -6*g. Calculate the smallest common multiple of 10 and b.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*z + 0*z + 12*z)*(-1 + 0 + 3 - 2*z).\nAnswer: -18*z**2 + 18*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -26 times -0.0504\nAnswer: 1.3104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 0\/(9\/(-2)*12\/18). Solve 4*o + d*o + 20 = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -8 in 9, 5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -99 = -3*q - 3*i, -2*q - 2*i = -i - 69. Suppose 0*j + 2*f + q = 2*j, -j + 20 = f. Let b = -8 + j. Does 11 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = 3*q**3 - 7*q**2 + 11*q - 5. Let h be d(2). Solve -3*n + 2*n - h*n = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -14549 - -14550. Solve j + 6*m = 2*m + k, -4*m = 4 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 35914970 and 2135?\nAnswer: 2135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 63382557 to the nearest integer?\nAnswer: 399","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.06563 - -3.06563. What is the nearest to -2 in -1, y, -5, 2\/11?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = z**2 + z + 45. Let f be b(0). Suppose 507 = 6*p - 213. Suppose 30 - p = -5*y. Calculate the greatest common divisor of y and f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t - k + 32316 = 0, -5*t - 5*k + 15129 = -65666. What are the prime factors of t?\nAnswer: 107, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = -6*l + 26. Let h(i) = -13*i - 49. Let a be h(-4). Let c be n(a). Sort 3, 0.6, c.\nAnswer: 0.6, 3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -235 = -83*a + 78*a. Let n = a + 44. What are the prime factors of n?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 313 and 439015678.\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 837?  (a) 5  (b) 2\/5  (c) 1\/16  (d) 4.1  (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*n**3 + 142 - 27*n**4 - 286 + 143 - 3*n**2 to the form y + u*n + b*n**4 + q*n**2 + a*n**3 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 88915629?\nAnswer: 3, 11, 2694413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 52*h - 10*h - 17*h - 34 = 20*h + 3*m, 4*m + 112 = -10*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*w + 60 - 50 = 0, 5*s - 17 = s - w for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.2742, 0.3, -0.2, 0.1 in decreasing order.\nAnswer: 0.3, 0.2742, 0.1, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Put -2272, 16, -1, 2 in ascending order.\nAnswer: -2272, -1, 2, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence un when two letters picked without replacement from uwnuwzuzqzwzzwrwrznr?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -2.8 - -3. Suppose v = 2 - 8. Let j be (-2)\/4*4\/v. Which is the nearest to j?  (a) -0.4  (b) 2  (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 453 is divided by 48.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (7\/1)\/(0 - -1). Suppose -t*w = -4*w - 9. Suppose 5*y + 2*p - 3*p = 53, w*p = 6. What is the highest common divisor of 33 and y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*y - 1644 + 1706 = t, t + 522*y = 8350 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 188844 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -95 + 97. Find the third derivative of -98*t + 12*t**2 + 29*t**5 + 98*t + 5*t**d wrt t.\nAnswer: 1740*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 121638483?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*k + 20 = -52. Let p = 18 + k. Solve p*o = -o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = 6*h. Let i be x(3). Let k(l) = -l + 1. Let t be k(-3). Suppose -12 = -m - t*c + i, -2*m = -c - 24. Solve 0 = -4*f - m - 6 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -221 (base 3) to base 4.\nAnswer: -121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) be the third derivative of b**4\/24 - 5*b**3\/6 + 16*b**2. What is m(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 4874*w - 42 + 42 + 316*w in the form m + j*w and give j.\nAnswer: 5190","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 34 is divided by (-2)\/7 - 688\/(-56).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 39161 to the nearest integer?\nAnswer: 198","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 144777011 to the nearest integer?\nAnswer: 12032","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -42.7 + 41. Let f = 0.7 + x. Let s = -0.39 + -0.01. Which is the third smallest value?  (a) -1\/2  (b) s  (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find o such that 3*o**3\/8 - 10125*o**2\/8 + 1067238*o + 1068504 = 0.\nAnswer: -1, 1688","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = -45855*h + 7566068. Give k(165).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j + 454 = -j - a, j + 2*a - 463 = 0. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1 - -218. Round l to the nearest ten.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2451330 (base 8) to base 7.\nAnswer: -5515334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 43\/2 of a centimeter in millimeters?\nAnswer: 215","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = 4*i**3 - 181*i**2 - 184*i - 2. Determine c(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 149*o + 32 = 153*o. Solve -3 = -4*g - 3*j, j + 0 = g + o for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) be the third derivative of s**4\/12 + s**2. Let o(k) be the second derivative of -k**3\/2 + 5*k. What is o(d(b))?\nAnswer: -6*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 4 - 1383b?\nAnswer: -13837","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1)\/(-3)*(52\/(-1495))\/(6\/45).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from {r: 1, p: 11, y: 2}?\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = 4*o**3 - 10*o**2 - 7*o + 6. Let n be r(9). Let b = n + -668. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = 1774954*y**2. Let c(h) = 12*h**2. Give i(c(q)).\nAnswer: 255593376*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Are -2\/1125 and 0 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 265908 is divided by 99?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.32 + -5.32. Let y = -7073\/122 - 32\/61. Let x = 2687\/46 + y. Which is the nearest to 0?  (a) m  (b) x  (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -5.7 + 6. Let o = -291 + 308. What is the nearest to o in -0.3, k, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 558 minutes before 8:27 AM?\nAnswer: 11:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -62 - -11. Suppose -65*q + 63*q = 230. Let t be (5 + q\/3)*6\/4. Which is smaller: t or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1573) + -1 + (-3 + sqrt(1573) + sqrt(1573))**2)*1 + sqrt(117) + 5 + -5 + (sqrt(13) - (sqrt(13) + 3)).\nAnswer: -118*sqrt(13) + 6297","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 7325871 a multiple of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*j - 37*j - 7406 = -187*j. Calculate the smallest common multiple of 345 and j.\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) be the third derivative of 1\/12*u**4 + 0*u + 7\/3*u**3 + 0 - 13*u**2. Let b be h(-7). Solve b = 6*l - 5*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*u**2 + 2*u**2 + 2*u**2 + 0*u + 0*u + u**2 + (-2*u + 0*u + 4*u)*(2*u + 4 - 4))*(-u + 2*u - 2*u)*(4*u**2 - 3 + 3).\nAnswer: -36*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v = 2, -t + 2*t - 5*v + 1 = 0. Let n(z) = -36*z - 2694. Let k be n(-75). Solve 0 = -q + 2*u - 7*u - k, 0 = -5*q + u - t for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-10)\/(-60) - 227\/(-6). Suppose k + 0*k - f = -4*l, -2*k + 3*l + 98 = 0. What is the remainder when k is divided by (-4 + (4 - 1))*-12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 3788, 3\/7, 2?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from iiwwuiweiieweio. Give prob of sequence oi.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = -417 - 2*a + 833 - 419 + 3*a. Let i(l) = l - 1. What is 2*i(y) + q(y)?\nAnswer: 3*y - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 888 + -891. List the prime factors of 76\/f*(-351)\/18.\nAnswer: 2, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 844 and 1969171426?\nAnswer: 422","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 99803471 and 6.\nAnswer: 598820826","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) be the second derivative of 254*q**3\/3 + q**2\/2 + 25*q. Is o(1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.39 - 0.01. Let v = -0.24 - 0.06. Let l = -134 - -672\/5. Which is the closest to l?  (a) 4  (b) v  (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_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: Is (2998\/(-4))\/(-3 + 1 + 134\/68) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 24252 - -7?\nAnswer: 24259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a - 9 = 7*a. Let g be 9\/27 + a + 8\/3. Solve 1 = 2*z + o, -5*z + g*z + 4 = o for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 669440 divided by -2092\nAnswer: -320","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 14177 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z\/(z**(-9)\/z)*((z**(-1\/11)*z)\/z)\/z)\/(z**(-6))**18)**(-28) assuming z is positive.\nAnswer: z**(-36316\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1 - -10. Solve -5*b = -34 + p for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = -3*n - 19. Let y(h) = -18*h. What is y(j(k))?\nAnswer: 54*k + 342","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 24\/40 - (74\/(-10) + 1). Let j be (1 - -1 - 0)*(-6 + v). Solve -2*w - 12 = j*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 7424 and 2552.\nAnswer: 81664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 2\/(-4) - 35\/(-10). Suppose i + w - 4 = 5, 0 = -b*i - w + 17. Suppose -i*q + 9*q - 240 = 0. What is the greatest common factor of q and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((2 + 0 + sqrt(125) - (sqrt(125) + 0 + 1)) + -3)**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {i: 1, p: 1, s: 1, w: 1, t: 2, a: 1}. What is prob of picking 1 p, 1 s, and 1 a?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (4 - 7)\/(-15)*(-1 - 0).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 102*p - 54 = 110*p + 34 for p.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 0.4 * 10090795\nAnswer: 4036318","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 2295 and 61047?\nAnswer: 459","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = -i**2. Let x(c) = 326197*c**2 - 6*c + 30. What is x(j(q))?\nAnswer: 326197*q**4 + 6*q**2 + 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0827 rounded to 2 decimal places?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 13 + -11. Suppose a + 10 = -2*o. Let z(d) be the first derivative of d**2\/2 + 6*d - 1. Give z(o).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-3)\/(-4)*4\/(-9). What is the fourth biggest value in -13\/9, 0, x, 0.2?\nAnswer: -13\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 293377?\nAnswer: 7, 41911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: (0 - 0) + (-4 - (-5 + -2))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -384 - -517. Does 6 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (6914908\/2730)\/(-314) - (-34)\/6.\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2 + -9 - 1 - (1 - (-10 + 30))) + -11.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: (-9 - -33) + -17 - -44\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*t - 0*g - 2*g + 1679, 2*t + g = 672. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 17081333 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 1068, 2141, 3214, 4287, 5360, 6433?\n\"Answer: 1073*z - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -0.1, -6, 8, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -4 and -80.021.\nAnswer: 320.084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -1.02011 + -0.10529. What is a rounded to one dp?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = -g**3 - 10*g**2 + 7*g - 21. Let c be a(-11). Solve -8*d - c = 9 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 44\/(-8)*2*-1. Let f = p + -6. Calculate the remainder when f is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -y - 9*j = -11*j + 5, 9*y - 19 = 12*y - 5*j for y.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = -5*v - 4. Suppose 2*u + 2*i = 4, -i = u + 3*i - 17. Let a(h) = 2 + 0*h - 1 - h + 2*h. What is u*a(m) - n(m)?\nAnswer: 2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 37.47533 decades?\nAnswer: 4497.0396","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 40 a factor of 368335322?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 25 = -t + 5*v, -2494*t + 14*v = -2498*t + 36 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = 4*t**2 + 2*t - 1. Let c be k(1). Suppose c*w - 55 = -10. What are the prime factors of (9\/6)\/(w\/42)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*c + 1103 = 5*t - 587, -t = 3*c - 322. Suppose 0*j - 2*l - t = -3*j, 103 = j + l. What is the tens digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-18)\/(-630)*7 + (-54468)\/15. Are -3632 and u equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-567)\/42*48\/108\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 5399870?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is nine tenths of a century in decades?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -76 + -4. Let t be 3\/9 - 1 - w\/12. Suppose -7 = -f + l + 2*l, 0 = -3*l - t. Calculate the highest common divisor of 11 and f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -239 + 239.5. Let h = -20\/39 - 2\/13. Which is the closest to h?  (a) f  (b) 2  (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -p**2 - 2*p**4 + 0*p**2 - 11*p**2 + (p**3 - 3*p**3 + 0*p**3)*(-6*p + 2*p + 3*p) + 3*p**4 + 3*p**4 - 7*p**4.\nAnswer: -p**4 - 12*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r**4*r*r**(-2))\/(r**(-1\/2))**(-47))\/((r**(-1))**20*r\/(r\/(r*r**(-4\/9))*r)*r\/(r*(r**(5\/4)*r)\/r)) assuming r is positive.\nAnswer: r**(43\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 59*o + 394 - 453 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 4\/54 - (-1976)\/1026. Let c(q) be the first derivative of -2\/15*q**3 - 5 + 4\/5*q**v - 8\/5*q. Factor c(d).\nAnswer: -2*(d - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = -6*r. Let z(q) = -q. Let d(w) = a(w) - 4*z(w). Let m = 3 - 1. Let f be m\/(-3)*-2*3. Determine d(f).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ggggmghmh. Give prob of sequence ghgm.\nAnswer: 5\/189","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 16942 + -14652.1. What is h rounded to the nearest one hundred?\nAnswer: 2300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-353 + 139 - 211 + o - 357)*(-5*o + 3*o + 0*o).\nAnswer: -2*o**2 + 1564*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is (18\/12)\/((27\/(-12))\/(-3))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand -21 - 4*v + 21 + v - 3 + 3 - 2*v - 3 + 3 + 0*v + 2*v - 4*v + (-3 + 5 + 0)*(0*v + 2*v - v) + 4*v - 2*v - 3*v + 6*v - 4*v - 3*v - 3 - 8*v + 3 + 1 - 1 - v.\nAnswer: -16*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 233012?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*r**3 - 604*r**2 - 44286*r.\nAnswer: 2*r*(r - 363)*(r + 61)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -13700 rounded to the nearest 1000?\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -66\/5 - -59\/5. Let g = r - -17\/10. Calculate the common denominator of 61\/(-8) + (1 - 1) and g.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -2879 + 11601\/4. Suppose -3*o + 129 = -0*o - 3*a, -5*o = 4*a - 224. Let t = 5 - o. Find the common denominator of q and t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:03 AM and 2:27 PM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n*n*n**(-2\/3))**14\/(n**(2\/9)\/(n\/n**(1\/4)*n)) assuming n is positive.\nAnswer: n**(727\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 504 minutes after 5:46 AM?\nAnswer: 2:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 8 - 8. Let n(b) = b**2 - b - 7. Give n(j).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = -v**3 + 15*v**2 - 3*v + 48. Let f be u(15). Suppose -2*g + 2*o + 2 = 0, g = -4*g + 3*o + f. Sort -5, 4, g, -1 in descending order.\nAnswer: 4, g, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 141*v**4 + 15*v wrt v?\nAnswer: 1692*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) be the second derivative of -2*x**2 - 1\/6*x**3 + 0 + 7*x. Calculate p(5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 103 + -102. Let x = -547 + 10400\/19. Let g = -87\/133 + x. Which is the closest to r?  (a) g  (b) -7  (c) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.0064 + -134.7936. Let w = t - -135. Which is the closest to -1?  (a) -0.04  (b) w  (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (544*b + 1 - 1 + 564*b)*(0 + b + 0).\nAnswer: 1108*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 e and 1 c when two letters picked without replacement from {m: 5, c: 1, d: 1, n: 8, e: 2}.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {a: 1, m: 4, w: 1, x: 1, q: 5}. Give prob of picking 1 x and 1 a.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1010 - 101111110111111000111?\nAnswer: -101111110111110111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (31\/8)\/(10\/(-8)) + 3?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 4158 and 2268?\nAnswer: 24948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 8 + 4\/(-8)*8. Let h(l) = 5*l + 4 - 2*l - 12 - l. Let p be h(z). Solve -w + 2*w - 3*o - 6 = p, 3*w - 4*o = 3 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = -g**3 - 21*g**2 + 14*g + 105. Let c be m(-23). Let i = c - -1132. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 31 (base 5) to base 8\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 50 and 359217225.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 923837268 to the power of 1\/3, to the nearest integer?\nAnswer: 974","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -1 - 1526*p**3 - 1527*p**3 + 3056*p**3 + 86*p to the form w*p**2 + g*p**3 + o*p + s and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = 14*s**2 - 86*s - 34. List the prime factors of d(-8).\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 33 and 618?\nAnswer: 6798","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 13978 + -12337. What is the remainder when f is divided by 137?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = -t**3 - 443*t**2 + 3142*t - 77. Determine r(7).\nAnswer: -133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 6094734197 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Put -705, -5, 0, -15, -3 in ascending order.\nAnswer: -705, -15, -5, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*m = 3*k - 57, -4*m + k + 19 = -13. What is the remainder when 12 is divided by m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2*f**5 - 560193*f**4 + 2*f**3 + 5*f**2 + 26197.\nAnswer: 120*f**2 - 13444632*f + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 3\/(((-2)\/(-14))\/1). Let k be o\/2 - 2\/(-4). Let x = -2 + k. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b\/(b\/(b\/(b*b**2))))\/b*b)**43*b*b\/(b**1*b*b)*b*b*b**5*b*(b**(-1))**(1\/8)*b\/(b*b**(-2\/13))*b**9\/b assuming b is positive.\nAnswer: b**(-7381\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) -120  (b) -10.3  (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 376031?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -272*p + 64*p = 4095 + 11089 for p.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -17 - -19.89. Let y = -49.5 + 47. Let m = i + y. What is m rounded to 1 decimal place?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = k**3 + 6*k**2 + 20. Let w be c(0). Which is greater: w or -8?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -273419\/3456 or -79?\nAnswer: -273419\/3456","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = -12*c + 2. Let v(f) = -f + 1. Let d(g) = -j(g) + 3*v(g). Suppose m + 0*m - 1 = 0. Calculate the remainder when d(m) is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 3 divide 4941?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = 1433*j - 22947. Determine v(12).\nAnswer: -5751","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in three tenths of a century?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 56 divide 1312409280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 28312 is divided by 1279?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -959*x + 1018*x - 1239 = 0 for x.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 1095 a factor of 770970885?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = -905*v**2 - v - 1. Let i be x(-1). Let f = 4553\/5 + i. Let n = f - 41\/10. Which is the third biggest value?  (a) n  (b) -0.3  (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 - 3*c - 4)*(8 + 4 - 3) - 23*c + 17*c - 25*c + (1 + 1 - 1)*(-3 + c + 3).\nAnswer: -57*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 8132593097 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = -q + 4*i + 9, -2*q = -2*i + 2. Let g(l) = 7*l - 73. Let r(h) = -6*h + 85. Let b(x) = -5*g(x) - 4*r(x). What is the units digit of b(q)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 56057, 224201, 504433, 896753, 1401161?\nAnswer: 2017657","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find q such that -q**3\/4 - 15*q**2\/4 - 27*q\/4 - 13\/4 = 0.\nAnswer: -13, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is -1916552 at most -0.04?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"}
{"text":"Question: Is 430229 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -44 + 46. Let a = 0.3 + -0.5. What is the third smallest value in d, a, -3\/4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is six fifths of a microgram in nanograms?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = 0*x**3 + 4*x**3 + 34*x**2 + 5 - 16*x**2 + 21*x**2. Let r(g) = -2*g**3 - 20*g**2 - 2. Determine -2*o(a) - 5*r(a).\nAnswer: 2*a**3 + 22*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -119 + 94. Let v = 25.3 + g. What is the third smallest value in -0.01, v, -1\/10?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:19 PM and 5:51 PM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) be the first derivative of -2\/3*q**3 + 0*q**2 - 18 + 0*q. Let d(o) = -11*o**2 + o. Give k(d(h)).\nAnswer: -242*h**4 + 44*h**3 - 2*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 114502646 is divided by 283?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 107 - 41. Let u = r - 65.85. Which is the second smallest value?  (a) 3  (b) u  (c) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*(((sqrt(168)*-1)\/((sqrt(6) - sqrt(6)*-2)*5))**2 + (sqrt(7) - sqrt(28)\/(-4*sqrt(4)) - sqrt(7)) + sqrt(77)\/(3*sqrt(11))).\nAnswer: -7*sqrt(7)\/6 - 56\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = -j**3 - 3*j**2 + 9*j + 7. Let m be (6\/5)\/(4\/60). Suppose -l = -4*l - m. Does 16 divide d(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -51144, -102290, -153438, -204588, -255740, -306894?\n\"Answer: -k**2 - 51143*k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 48 is divided by 26?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -21942*k**3 - k**2 - 2881 wrt k?\nAnswer: -131652","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 3185 and 13.\nAnswer: 3185","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Product of 5.7719 and -66.\nAnswer: -380.9454","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = -3*z. Let a(p) = 23023151*p**2. Give a(g(q)).\nAnswer: 207208359*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 478858900?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Does 3 divide -1 - (1\/(6\/24) - 1311)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 100111101000010011 (base 2) to base 6\nAnswer: 3251255","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + (sqrt(28) + sqrt(168)\/sqrt(6) + 5 - sqrt(14)\/(sqrt(98) - -1*sqrt(98)))**2 + 4.\nAnswer: 275*sqrt(7)\/7 + 3753\/28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*j**3 + 3*j - 3*j)*((-j + 4*j - j)*(-1 + 2 - 3) - 3*j + 4*j + 0*j - 6*j + 6 - 6).\nAnswer: 18*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r - 24 = -3*o, o - 2 = -3*r - 1. Solve m - o = -m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -172 times 122?\nAnswer: -20984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*o = 7*o. Let n be o + (-1)\/((-1)\/3). What is the second derivative of -4*y + y**5 + 9*y**3 - 9*y**n + 3*y wrt y?\nAnswer: 20*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4.8*151\nAnswer: 724.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = -2*z**2 + 5*z + 15. Let y(q) be the first derivative of -2*q**3\/3 + 3*q**2 + 16*q - 439. Calculate 6*a(o) - 5*y(o).\nAnswer: -2*o**2 + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*q**2 - 27 - 39 + 73 - 26.\nAnswer: -2*q**2 - 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence cocc when four letters picked without replacement from oooccoooooco.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -7c - 14a?\nAnswer: -1c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 (base 10) in base 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2877 - 1827 = -784*f for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = 9*d + 15*d + 12*d + 2. List the prime factors of y(3).\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of -12*(-1*545\/10 - 6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -514054 - -1307067. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (n - 6*n - 10*n)*(-2 - 3 + 1)*(5 + 0 - 1)*(-3 - 1 + 1).\nAnswer: -720*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/3 in 4, -0.5, 2\/3, -3\/4?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -209\/1905 + -3\/127. Let o be (18\/18)\/((554\/4)\/1). Let j = -817\/1939 - o. Put -1.6, p, j in ascending order.\nAnswer: -1.6, j, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -3155541 + 3155559.999908. Let q = a - 19. Round q to 5 dps.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = -2*o**2 - 7*o + 2. Let h(m) = 4*m + 143. Let k = -130 - -93. Let q be h(k). Give s(q).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*z - 2*z = -k + 32, -9*k + 115 - 9 = 645*z - 650*z for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 3129 and 30.\nAnswer: 31290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 546214 is divided by 38?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -25a (base 11) in base 4?\nAnswer: -10303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -351aa8 + -1?\nAnswer: -351aa9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 7 a factor of 11398524?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-88)\/(-52))\/((-1268)\/(-24726)).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 47 + (-38 - 34) - 18?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 3401 and 358?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -199, -209, -229, -259, -299?\nAnswer: -349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 1142, 2303, 3464?\n\"Answer: 1161*v - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 30 - (64 + -60 + (27 - 14)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = -a**3 + 4*a**2 - 2*a + 2. Let v = -7 - -10. Let h be i(v). Suppose 9 = h*m - 31. What is the greatest common divisor of 4 and m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*k - 2*k. Suppose a = c + 5, 5*c + k = -2*a + 3. Which is greater: c or -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 4285?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**(-7))**(1\/12)\/(o\/((o*o**(-26))\/o))**43 assuming o is positive.\nAnswer: o**(-13939\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 10 - -1434?\nAnswer: 1444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence yzo when three letters picked without replacement from {o: 2, y: 1, z: 1, a: 1}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 21, 0, -3, 3, -8, 1982\/3, -1?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 (base 13) in base 2?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) be the third derivative of f**4\/12 - 4*f**2. Let u(j) = 3*j**2 + 2*j - 2. Let p(s) = -4*s**2 - 3*s + 3. Let m(q) = -2*p(q) - 3*u(q). Determine m(k(b)).\nAnswer: -4*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-24)\/1266)\/((3\/8)\/(19980\/(-960) - -21))?\nAnswer: -2\/211","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -22507\/36 - -3755\/6. Suppose -15619 = 4*x + 15597. Let i = 343311\/44 + x. Find the common denominator of i and n.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 219?\nAnswer: 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 k and 1 a when three letters picked without replacement from kaaaaakaaaaaakaa.\nAnswer: 39\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 1031793346, 2063586691, 3095380036?\n\"Answer: 1031793345*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = j**3 - 7*j**2 + j - 3. Let n be o(7). Suppose -5*l = 2*x, 5*l = n*x - 0*l. Sort x, 2, 3 in descending order.\nAnswer: 3, 2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n**3\/4 + 507*n**2\/2 - 249179*n\/4 - 1844997\/2 = 0. What is n?\nAnswer: -14, 489, 539","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = z + 0*z - 2*z**2 + 0*z**2 + 5*z**3. Let o be r(1). Calculate the greatest common divisor of o and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((-60)\/25)\/(4\/30*-3). Let h be (-2)\/(-4) + 9\/r. Suppose -s + h*s = -3*j + 87, -3*j - 4*s = -87. What is the remainder when j is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-34)\/6 - (-2)\/3. Let k(b) = -4 - b**3 - 30*b**2 - 34*b**2 - 1 + 3*b + 61*b**2. Let m be k(j). What is the greatest common divisor of m and 75?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -37 = 5*z - 12. Let x(f) = -17*f + 5. Does 15 divide x(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j\/(j\/j**4*j)*j*j)\/j*j\/(j*j*j**(1\/3))*(j*j\/j**(-7))\/(j**(-1\/14)\/j) assuming j is positive.\nAnswer: j**(535\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 527560, 527581, 527602?\nAnswer: 527623","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 21 - u - u + 7 + 4*u to the form v*u + j and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -22 + 23. Let x(t) = 674*t**2 + t - 2. Is x(n) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 56\/(-6) + 11 - (-86)\/(-48)\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-5 - -7) + (-3 - 0 - -3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 6 + 1)*(26*f**4 - 18*f**4 - 13*f**4 + 2*f**5).\nAnswer: -4*f**5 + 10*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -78.937282 rounded to the nearest ten?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d be -2 + (-26)\/(-1) + 0. Let x(g) = 21*g + 47*g - d*g. Is 11 a factor of x(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 144133271 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1935 + -1903 + (0 - 32).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 17613992 is divided by 17613906.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of -2 - 22136\/(-20) - 5\/(-25)?\nAnswer: 5, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = -18*o**2 - 42*o + 5. Suppose -5*i = -4*a + 71 + 109, -170 = -3*a - 5*i. What is the remainder when a is divided by l(-2)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((6 + 45*b - 6)*(-b**2 - b**2 + b**2) + (-7 + 7 - b)*(4*b**2 + 0*b**2 - 5*b**2))*(-b + 2*b + 0*b).\nAnswer: -44*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -874.78 - -0.0959774?\nAnswer: -874.6840226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 5573.151 hours?\nAnswer: 20063343.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 297*p**2 - 77*p**2 - 83*p**2 - 136*p**2.\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 64986812168 plus 0.5?\nAnswer: 64986812168.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h**3\/4 - 63*h**2 + 1053*h + 2352 = 0. Calculate h.\nAnswer: -98, -2, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = -101*s. Let y(j) = -16517*j**2. Calculate y(x(g)).\nAnswer: -168489917*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -265 + 262. Which is the nearest to 0?  (a) h  (b) 2\/7  (c) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 845?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 88613034?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00000687 to 6 dps.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*n + 3*j - 18, -2*j - 4 = -6*j. Let a be ((-6)\/3)\/((-12)\/(-30))*n. Is 16 at most a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 27518497 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-1)\/(-2) + (-238)\/(-12). Let y = u + -20. Are y and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -33775, -45751, -65711, -93655, -129583, -173495, -225391?\n\"Answer: -3992*q**2 - 29783","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y = r + 10 + 8, -4*r + 23 = 3*y. Let s = -1 - -2. Suppose 0 = -l - 0 + s. Is r at least as big as l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = 2*k. Let z(v) = v - 4. Let g be z(6). Let p be x(g). Let t = 4 - p. Which is smaller: 1\/11 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 448 and 292.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 4451 equal to 4452?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = j**2 - 1 - 3 - 1. What is o(-4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 111285?\nAnswer: 3, 5, 2473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 84634?\nAnswer: 2, 11, 3847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = 3*s + 4 - 31642*s**2 - 1 - 168914*s**2 + 10. Let w be u(-3). What is w rounded to the nearest one hundred thousand?\nAnswer: -1800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 2 + 1e?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = -42*w - 2*w + 1 - 18*w. Does 21 divide m(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 8985 * 640.2\nAnswer: 5752197","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = 67*f**3 + 6*f**2 + 29*f - 161. Is h(9) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 11011110010110000010 (base 2) to base 10.\nAnswer: 910722","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**21\/(y*y**(-20)))\/((y*y**(-8))\/y)**22 assuming y is positive.\nAnswer: y**216","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from xxkxxxxkllklxlklklk. What is prob of sequence kxlx?\nAnswer: 21\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort 201, -8, 4, 2.\nAnswer: -8, 2, 4, 201","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (8\/12)\/((-24)\/9). Let t = 0.3 + -0.8. Which is the closest to 0.2?  (a) v  (b) t  (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = -242*a - 6406. Let n(w) = 2*w. Calculate m(n(d)).\nAnswer: -484*d - 6406","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {j: 9, q: 3}. Give prob of picking 1 j and 1 q.\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*(sqrt(500) + 0) + -1)**2 - -1*(sqrt(125) + -3)**2*4.\nAnswer: -100*sqrt(5) + 1037","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = 13*o + 2*o**2 + 5*o**2 - 6*o**2 - 2. Let g be b(-16). Let q = -44 + g. Solve -6*s = -q*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 24\/(-40) + (-80)\/200 + 57?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 49 - 84. Let i = -33 - j. Solve -3*o = -i*o - 1 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = w**3 - 16*w**2 - 14*w - 15. Let o be x(17). Let d be ((-54)\/o)\/((-1)\/2). Suppose -4*q + 0*k = k - 853, -k + 640 = d*q. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = 846*g - 11117. Calculate q(12).\nAnswer: -965","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 68\/(57664\/53)*-36\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3931948 + -42781.\nAnswer: 3889167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 81362*t**3*x**2 - 8*t**3*x + 2*t**3 + 222478*t**2*x**2 + 4*t wrt t?\nAnswer: 488172*x**2 - 48*x + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = 4745*y - 10. Is o(1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i**(-40))**(-25))**(-27) assuming i is positive.\nAnswer: i**(-27000)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = -43*o**2 + 1158*o**3 - 1159*o**3 + 16*o**2 - 11 + 18*o**2 + 5*o. Give p(-10).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w*(w**(-1\/2)*w)\/w*w)**(2\/11) assuming w is positive.\nAnswer: w**(3\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) be the second derivative of b**7\/14 + 3*b**6\/10 + 3*b**5\/10 - b**4\/2 - 3*b**3\/2 - 3*b**2\/2 + 5*b. Factor s(p).\nAnswer: 3*(p - 1)*(p + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4 + (sqrt(931)*-1 + 4 - ((sqrt(931) - (-5 + sqrt(931))) + 3)) + 4)**2*-2*2.\nAnswer: -3788 + 224*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {q: 4, x: 10}. Give prob of sequence qx.\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = -v**3 - v**2 - 1. Suppose 16*g = 12*g + 4. Let w(a) = 5*a**3 + 7*a**2 + 7. Determine g*w(j) + 6*d(j).\nAnswer: -j**3 + j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 474 minutes before 1:28 PM?\nAnswer: 5:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify d\/(d*d*d*d*d\/(d**(-1)\/d))*d\/(d\/(d*(d\/(d*d**5)*d)\/d))*d**(-12)\/(d*d**(-5\/4)) assuming d is positive.\nAnswer: d**(-87\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 499776?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((0 + -5 + (sqrt(704) - sqrt(704)*-2) + 2 - ((sqrt(704) - ((sqrt(704)*-1 + sqrt(704))*-6 - sqrt(704))) + sqrt(704) + sqrt(704)*-2*-5)*6)*-5)**2*5.\nAnswer: 450000*sqrt(11) + 495001125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9315 + 4427 = -188*f for f.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 90 = -5*o - 3*j, -2*o - 13*j = -10*j + 36. Let h be 2\/(-4)*2 + (-1 - o). Calculate the highest common divisor of 8 and h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/3, 2\/13, -4067.\nAnswer: -4067, -1\/3, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence pgp when three letters picked without replacement from {g: 7, p: 2}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2334 - 465 = 623*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = -i**2 - 132*i - 4172. What is the lowest common multiple of 441 and d(-77)?\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3 + 29*y**3 - 2*y + 1 + 67*y**3.\nAnswer: 96*y**3 - 2*y - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-u + 2*u + 0*u)*(1 - 3 + 4) + u + 1 - 1 + u - 5*u + 3*u + 2*u + 4 - 4 - 5*u + 0*u + 2*u + 0*u + 5*u - 3*u + (1 + 1 + 0)*(-1 + 1 - 2*u) - 5*u + 5*u - u.\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 5\/(5 - 10)*10\/4 - (-816)\/510?\nAnswer: -9\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2*o**3*s**2*v - o**3*s*v - 3*o**3*v - 4*o**2*s + o*s**2 + 7*v wrt o.\nAnswer: 12*s**2*v - 6*s*v - 18*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 5083 and 3519.\nAnswer: 391","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = k**2 - 9*k + 18. Let p be m(7). Suppose 4*h - 5*f + 45 = 0, -23 - 13 = 4*h + p*f. Which is smaller: -3 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -0.4, 3, -0.11, -3.3, 5, 8?\nAnswer: -3.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round -3.45886017 to four decimal places.\nAnswer: -3.4589","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Are 0 and -2790\/44057 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -2fee4 (base 16) to base 6\nAnswer: -4112524","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from bbbbooobbo. What is prob of picking 1 o and 3 b?\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 34953468 is divided by 141?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) -181\/118  (b) 4\/13  (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -31, -97, -235, -481, -871, -1441?\nAnswer: -2227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 378 + -378.000001286. Round m to 7 dps.\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1621.\nAnswer: 1621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = 4*c - 16. Let b(l) = 20*l - 79. Let n(t) = b(t) - 6*s(t). What is n(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 7109760 and 533232.\nAnswer: 21329280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xfxo when four letters picked without replacement from {x: 3, f: 2, a: 2, o: 2}.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 73.51134kg?\nAnswer: 73511.34","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round 30.25 to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = 0 - 2 + 193*f + 39*f**2 - 190*f. Calculate the remainder when x(1) is divided by 22.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*b + 5*k - 45 = 0, -12 = -5*b + 2*k + 5. Let -19 - b*h**2 + 2*h + 8*h - 10 + 24 = 0. Calculate h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 27 + (18 - 29) - (5 + -30)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 21 divide 462?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 9*c - 146*c - 28*c to a + y*c and give y.\nAnswer: -165","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 c and 1 r when two letters picked without replacement from cpzyryyppz.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 246 + 10*o**2 - 246 + 5*o**2.\nAnswer: 15*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 719 less than or equal to 411?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 1 divided by 19963\nAnswer: 1\/19963","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Do -8\/353 and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((j*j**(1\/9)*j*j*j*j*j**(-1\/6)*j)**(3\/22))**(1\/33))**(1\/21) assuming j is positive.\nAnswer: j**(107\/91476)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5912*x + 11003*x - 5106*x.\nAnswer: -15*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 5382, 5248, 5024, 4710, 4306, 3812, 3228?\n\"Answer: -45*o**2 + o + 5426","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = 2*d + 2. Let k(i) be the third derivative of -i**5\/30 - i**4\/8 - i**3\/6 + 11*i**2. What is k(d)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-682)\/2 - 4\/2. Let c = -228 - x. Let f = 7 + c. List the prime factors of f.\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = -o**3 + 14*o**2 + 10*o - 13. Let x(d) = d**2 + 3*d + 10. Let i be x(-4). Is j(i) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -2*(-3)\/(12\/832) - 0. Suppose 7*z = y + 683. What are the prime factors of z?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -7 times -85916185\nAnswer: 601413295","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -2924638, -5849271, -8773904, -11698537, -14623170?\n\"Answer: -2924633*g - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 315 minutes after 9:12 AM?\nAnswer: 2:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 9\/10 of a tonne?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify o**17*(o**(3\/13)\/o)\/o assuming o is positive.\nAnswer: o**(198\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 21504*-0.3\nAnswer: -6451.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -570 + 601 - (62 + -2).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.633, -0.8, -3\/7 in decreasing order.\nAnswer: 0.633, -3\/7, -0.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 552 minutes before 11:43 AM?\nAnswer: 2:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = -l**3 - 9*l**2 + 25*l + 2. Calculate c(6).\nAnswer: -388","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, -58, -52 in descending order.\nAnswer: -1, -52, -58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-413 - -419) + (0 - 1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 0*(-2 + (-7)\/(-3)). Suppose f = 4*s - 5*g + 20, -2*s + 3*g = -7*s + 12. Determine y so that 0 + s*y**2 + 2\/9*y**3 - 2\/9*y = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in 65, 0.3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:38 AM and 7:39 PM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -18*q + 17*q - 165. Let f be 37565\/q - (2\/(-6))\/(-1). Let g = f - -128. Which is smaller: -101 or g?\nAnswer: -101","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 37467 is divided by 56?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -38 + 56. Let h = m + -18.0432. What is h rounded to 3 decimal places?\nAnswer: -0.043","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -131 divided by 43717?\nAnswer: -131\/43717","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"}
{"text":"Question: Solve 47*u = 24*u - 138 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Express (4*i - 3*i - 2*i)*(-1 - 3*i - 1 + 0)*(5 + 1 - 4)*(674348 - 674348 + 17703*i**2) as s*i**3 + u*i + r + a*i**4 + x*i**2 and give a.\nAnswer: 106218","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -6 - -4. Let t = 2.1 + x. Suppose -1 = -8*d + 7*d. What is the nearest to d in -1, t, 0?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 231*g**4 - 4*g**3*i**3*l + 2*i**3 + 2*l + 76 wrt g.\nAnswer: 924*g**3 - 12*g**2*i**3*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of ((-1)\/2)\/((-12)\/(-166)) and (7 - (-10 - -14))\/(18\/(-75))?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t - 10 = -2*p, -2*t - 4*p + 16 = 4. Suppose o + 254 = 4*y, 0 = t*y - 3*y - 2*o - 60. Calculate the remainder when y is divided by 33.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 5 - 6. Let r(w) = -170*w**3 - 2*w**2 - 2*w - 1. Is r(z) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (2 + 56\/(-49))\/((-4)\/(-14)). Suppose 4*l - 3*l + n = 0, 0 = y - 5*l - 28. Solve 3*x + y = -4*a, x - 22 = -x + 5*a for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.002238431 times -0.2?\nAnswer: -0.0004476862","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 953 to the power of 1\/2, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 4523*i**2 - i - 253084?\nAnswer: 9046*i - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 271 is divided by 99?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = -f + 5. Let w be k(7). Is 9 a factor of (-291)\/(-12) - w\/(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1152 and 584556768?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence lv when two letters picked without replacement from goolvex?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -5108 - -5097. Which is the smallest value?  (a) 3  (b) k  (c) -8\/3  (d) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 18 in -64, 0.1, -9?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (6 + 1)*-9 + -1 + 1. Let o = 62 + s. Put 2, o, 15 in descending order.\nAnswer: 15, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 26360 = u + 19*u. What are the prime factors of u?\nAnswer: 2, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -189 + 49 = -i. Calculate the greatest common divisor of 35 and i.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -185, 2, 63, 1272, 1, 4 in ascending order.\nAnswer: -185, 1, 2, 4, 63, 1272","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {y: 7, x: 4}. Give prob of sequence yxyy.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) -2\/5  (b) -2  (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.018 in 0, -1\/6, -1\/3, -109\/5, 0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*k = -4*k - 25. Suppose 4*i + 16 = -k*y - 5, y + 6 = i. Suppose 0 = -2*u + 2, -g + 5*u = i + 2. Solve -3*c = -4*p + 3*p + g, -c = -3*p - 2 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6627 minus 36833?\nAnswer: -30206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = 2*p. Let t(u) be the second derivative of 3031*u**4\/12 + 3*u + 612. Calculate t(z(a)).\nAnswer: 12124*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 136 is divided by 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c = -5*b - 2, -5*b + 4*c = -6*b - 18. What are the prime factors of (-2380 - 44)*b\/4?\nAnswer: 2, 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -27.504 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -7813 + 7840. Solve -f = 6*q - 9 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 1 + 2*q**4 - 1 + (3*q + q - 3*q)*(0*q**3 + 2*q**3 - q**3) - q**4 + 2*q**4 - 3*q**4 + 4 - 4 + 21*q**4.\nAnswer: 22*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 102 a factor of 19237608?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 18\/(-11) - -2 - 10602\/(-1881). Solve -2*n + m - 16 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 3\/4, 0.3, 0 in decreasing order.\nAnswer: 3\/4, 0.3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = y**3 + y**2. Let l(q) = q**3 + 10*q**2 + 3*q. Let s(p) = l(p) - 6*w(p). Let g(h) = -h**3 + h**2 + h. Determine -3*g(f) + s(f).\nAnswer: -2*f**3 + f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i*i**(-14)*i)\/(i*i\/i**11*i)*i**(-4)*i**(1\/2)\/i)**17 assuming i is positive.\nAnswer: i**(-289\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 30.3297246 minutes in weeks?\nAnswer: 0.00300890125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.12 and -0.1284318?\nAnswer: 0.015411816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -1 divided by 115\nAnswer: -1\/115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*y + 5*y = -4 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = -2*g + 2. Let k(i) = -i**2 - 11*i - 11. Let u be k(-9). What is m(u)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z - 10 = -35. Let t(w) = 8*w**2 + 1. What is the remainder when t(-1) is divided by z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = -3*u**3 - 14*u**2 - 3. Let y(q) = -4*q**3 - 21*q**2 - 4. Suppose 0 = 2*r + 5*k + 15 + 10, 0 = r + 3*k + 14. Give r*y(t) + 7*x(t).\nAnswer: -t**3 + 7*t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2*z - 2*z - 2*z**3)*(z - 3 + 3) + 446*z + 236*z**4 - 446*z to r*z**3 + b*z**4 + o*z**2 + g*z + m and give b.\nAnswer: 234","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 37 and 333.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Round 6678.3 to the nearest one hundred.\nAnswer: 6700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -36 - -40 - (2 + 1 + -3 + 3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3\/5, -2\/11, 5\/1121, 1\/272.\nAnswer: -3\/5, -2\/11, 1\/272, 5\/1121","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s = -2*c, 8 = -3*c + 4*s + 29. Suppose c*g = -2*z + 17, -4*g = g + 5*z - 35. What is the second derivative of -5*l**g + 0*l + l + 19*l wrt l?\nAnswer: -30*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -733*k**2*t**4 - 12*k**2*t - 89*k**2 wrt t.\nAnswer: -8796*k**2*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1300*x**2 - 2*x + 5779*x**2 - 1282*x**2 + 2*x - 1308*x**2 - 1891*x**2.\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -aa4 + 1?\nAnswer: -aa3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*b + 0 = 4. Let n(g) = 8*g**2 + g - 1. Give n(b).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -4?  (a) 0.01  (b) -2.488  (c) -0.16  (d) -1  (e) 1  (f) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*c - 20 = -4*v, 3325*c - 3321*c = v - 19 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2 (base 14) to base 4.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 56 + -54. Suppose 19*j = 21*j - k. Let v = -40 - -15. Is v != j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -6153 take away 0.81?\nAnswer: -6153.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 3, 2581, 51, 4, -33 in descending order.\nAnswer: 2581, 51, 4, 3, -2, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:34 AM and 4:29 AM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 17 + -20 + -1 + 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -119a (base 11) to base 12\nAnswer: -aa1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1154429.53 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2342.\nAnswer: 2, 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 899 is divided by 482.\nAnswer: 417","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 251210, 251522, 251834, 252146, 252458?\nAnswer: 252770","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-4)\/4*3\/9 - (45892\/84)\/149.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -48 + -48. Suppose 6*x = 3*x + 9, 4*n = 2*x - 394. Is n != f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 12961?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Put 22, 44, -4, -1 in increasing order.\nAnswer: -4, -1, 22, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o + o + 28 = 4*u, 0 = -4*o. Is u at least 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) be the third derivative of m**9\/252 - 887*m**7\/105 - 2843*m**5\/30 - 2*m**2 + 142. What is the third derivative of q(i) wrt i?\nAnswer: 240*i**3 - 42576*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from jvvvjjjjjjjjjjjj. What is prob of sequence jvjv?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -1009031 - 5?\nAnswer: -1009036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -176660 divided by -2\nAnswer: 88330","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 22\/7?  (a) 0.6  (b) -428  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) be the first derivative of -g**4\/12 - g**2 + 2. Let r(j) be the second derivative of x(j). Let c(i) = -i**2. Give c(r(a)).\nAnswer: -4*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 60872 + 2?\nAnswer: 60874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 134 + -180. Sort -2, d, -5 in ascending order.\nAnswer: d, -5, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 28560311 is divided by 72.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = 4*m - 2. Let c be f(-4). Let y(h) = -4*h + 3 - 4 + 3*h. Let u(n) = -3*n**2 + 18*n + 21. Let v(j) = c*y(j) - u(j). Factor v(b).\nAnswer: 3*(b - 1)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h\/(h**(2\/7)\/h)*h**(1\/2))\/((h**(8\/5)*h)\/(h\/(h*h*h\/(h\/((h\/(h*h*h**(-9\/4)))\/h))*h))))**(-20) assuming h is positive.\nAnswer: h**(369\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 9 a factor of (0 - (-2632)\/(-6))*1836\/(-408)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5987?\nAnswer: 5987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 35038 is divided by 31.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) be the first derivative of -d**2 - 23595. Let t(w) = -55*w**2 - 11*w + 11. Let k(h) = 14*h**2 + 3*h - 3. Let f(l) = 11*k(l) + 3*t(l). Give j(f(s)).\nAnswer: 22*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -46.041 + 46. Let m = d - -0.05. What is m rounded to 2 dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 11 - ((-8 - 0) + 14 + -10).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -641 less than 12.720381573?\nAnswer: 653.720381573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 721, 717, 703, 673, 621?\nAnswer: 541","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 391 and 46?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 617 a factor of 191505795?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.06, 2567, -4 in decreasing order.\nAnswer: 2567, -0.06, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-6)\/(108\/6))\/(-1)*-6.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express 202*f**2 - 12*f - 364 - 9*f**2 - 365 + 729 as u*f + z + h*f**2 and give u.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -23169 + 23164. Suppose -2*n + 1 = -15. Let p be (-2)\/6 + 4\/n. What is the smallest value in 2\/9, s, p, 0.5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -21 - -20.7. Let h(g) = -g + 6. Let r be h(4). What is the nearest to 1\/4 in r, u, -0.5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1430, -1\/623, 2, 2\/7, 4 in descending order.\nAnswer: 4, 2, 2\/7, -1\/623, -1430","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((-4)\/(-3))\/(6\/(-537)). Suppose 3*o = -2*q - q - 357, -359 = 3*o + 2*q. Let s = o - w. Which is smaller: s or -1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -7584 + 6686.7. Let i = f - -897.30005343. What is i rounded to six decimal places?\nAnswer: 0.000053","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13*p - 18113 = -18204 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 360000*((-127)\/(-3) + -4). Suppose 7*y + m = 4*y. What is y rounded to the nearest 1000000?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -162436 at least as big as -162437?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = k**3 + 22*k**2 - 40*k - 3. Give a(-23).\nAnswer: 388","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -3896, -3874, -3852, -3830?\n\"Answer: 22*u - 3918","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -4 + 3.7. Let u = 3.3 + z. Let y = 3 + -8. What is the biggest value in y, 1\/4, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 1023, 702, 381, 60?\n\"Answer: -321*s + 1344","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4 + 3*-1*(5 + sqrt(300) + (sqrt(300) - (sqrt(300) + 5 + -1*sqrt(300)))))**2*6.\nAnswer: 2880*sqrt(3) + 64896","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 218*q - 773788 = 71*q + 1078559. List the prime factors of q.\nAnswer: 12601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1377344093 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = -y**2 + y. Suppose -z + 1 = 3*k, -15 = -5*k + 5*z - 40. Suppose 2*f - 3 = 3. Let s(c) = -2*c**2 + 2*c. Let g(j) = f*v(j) + k*s(j). Factor g(d).\nAnswer: -d*(d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + -6*(sqrt(147) + sqrt(147) + -1 + sqrt(147) + 3)**2.\nAnswer: -7966 - 504*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 238 - 1. Suppose 4*j - v = j. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*j = 4*r + 85, -40 = 4*r + 8824*j - 8828*j for r.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = -7*z**2 + 8 - 8*z + 8*z**3 + 8 - 2*z**3 - 5*z**3. Let u be h(8). Which is smaller: 104\/7 or u?\nAnswer: 104\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 5051729 (base 10) to base 11\nAnswer: 2940491","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2731269?\nAnswer: 3, 19, 47917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -5*g**3*n*r**2 + 6*g**3*r**2 + 2*g**2*n*r**2 + 6*g**2*r**2 - 2*n*r**2 + 2*n*r wrt g?\nAnswer: -30*n*r**2 + 36*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -10 or 2\/9521301?\nAnswer: 2\/9521301","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 12555034 is divided by 2502?\nAnswer: 2500","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 5641 and 8?\nAnswer: 45128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -5626, -5614, -5602?\nAnswer: -5590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.83180391 to 1 decimal place.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = 4*l**2 - 5*l + 1. Let p be q(4). Let v be 2\/((-6)\/p*-5). Suppose -2*r + 20 = v*r. Solve -2*h = -r*h + 6 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from vjyjvjekjyzyeyyzy. What is prob of picking 1 k and 1 y?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 31\/2 and -73\/10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s = -2*x - 7, 6 = s + x + 2. Let f be 1\/(3\/8)*s. Suppose 3*m - 34 = 2. Solve 4*c + m = -f for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d**0*d)**42)**(-1) assuming d is positive.\nAnswer: d**(-42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -71 - -50. Let i = -20.8 - g. What is the closest to i in -5, -1\/7, -1?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -105*k*m**3 + 2*k*m**2 - 5*k + 2*m**3 - 2*m**2 wrt m.\nAnswer: -630*k + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 27 and 56258658?\nAnswer: 56258658","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 52330189 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 299044 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 4070 and 220?\nAnswer: 8140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence kkq when three letters picked without replacement from kqkkqqn?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = -2527*n + 305790. What is a(121)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (0 - 21)\/(-3) - 4. What are the prime factors of 300 + c + 1 + -10?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -11561 (base 8) to base 16\nAnswer: -1371","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 45962200 to the power of 1\/2, to the nearest integer?\nAnswer: 6780","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 1812 divided by -1\nAnswer: -1812","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = -20*p**2 - 4*p - 931241. Let u(x) = -6*x**2. What is m(u(c))?\nAnswer: -720*c**4 + 24*c**2 - 931241","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 12\/(-8)*(2 - (-112)\/24)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = g**2 + 14*g - 62. Determine l(-18).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 40102 (base 5) to base 9\nAnswer: 3417","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from hhhhhhhhhh. What is prob of sequence hhhh?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 52970.\nAnswer: 2, 5, 5297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g - w + 2423 = 0, -2*w - 4842 = 2*g - 6*g. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 23\/522 and -25\/12.\nAnswer: 1044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: (-1120)\/(-48)*66\/(-77)*1\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 134997831 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is (-63)\/135*(3\/5)\/((-20)\/100)?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-6*((1*sqrt(288) - sqrt(288))\/sqrt(12) + sqrt(24)))\/((sqrt(12) - sqrt(12)*2*-1) + 2*sqrt(24)\/sqrt(2)))**2.\nAnswer: 72\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = -m**4 + m**3 + m**2. Let g(j) = 2*j**3 + 5*j**2 + 2*j**3 + j**3 + 3*j**5 - 2*j**4. Let u(o) = -5*b(o) + g(o). Factor u(r).\nAnswer: 3*r**4*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (238\/(-6))\/(-7)*(-1 + (-4615)\/(-1))?\nAnswer: 2, 17, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 31 divide 10679159?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 7006 and 1130?\nAnswer: 35030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is aa01b5 (base 12) in base 14?\nAnswer: 5026c9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (448\/(-36))\/4 - (-12)\/4. What is the smallest value in 0.1, o, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, -13237, -2, 10 in ascending order.\nAnswer: -13237, -2, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 33350 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 850 and 800.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = -139*i**2 + 5*i - 5. Let q be j(7). Let a = q + 2095. What are the prime factors of a\/(-24) + 5 + 1\/(-4)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 249597983 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 + -9 + 8 + -2 - 15.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 481 minutes before 1:02 PM?\nAnswer: 5:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -27.1 - -1.1. Let x = i - -27. Do -1 and x have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 0.3  (b) -0.5  (c) 5  (d) 119\/11  (e) -3  (f) -3\/5  (g) -0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 0.05, 1, 3, -2\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 708 minutes before 5:17 AM?\nAnswer: 5:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 375 is divided by 47?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1 by 6271.\nAnswer: -1\/6271","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (30\/(-21))\/(-5)*7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 3577660 and 91623.\nAnswer: 4363","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -22*l - 16*l - 16 = -22*l. Which is bigger: l or 1\/126?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = -6*o**2 - 592*o + 345. Calculate v(-101).\nAnswer: -1069","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1605, -5686, -12225, -21210, -32629, -46470, -62721, -81370?\nAnswer: -102405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) be the second derivative of -a**4\/24 + 7*a**3\/12 - 3*a**2\/2 + 65*a. Factor q(n).\nAnswer: -(n - 6)*(n - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 13 - 9. Let r be (-2)\/(12\/(-3))*6. Put 1, r, s in increasing order.\nAnswer: 1, r, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2*3\/24)\/((-336)\/9225216*66)?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 80 and 100?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 12c0 + -a3?\nAnswer: 121b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 10 and 154610.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (1 + 1 - -1)*1. Let r(x) = 9*x**2 - 2. Let j(p) = p**2. Let b(z) = a*j(z) + r(z). Find the first derivative of b(o) wrt o.\nAnswer: 24*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from aqaeqeaaqqaaa. Give prob of picking 2 a, 1 q, and 1 e.\nAnswer: 168\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1\/(-11)*(-49302)\/1494.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -23 = 2*a - 19 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -2 + 200013?\nAnswer: 200011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 c and 1 b when two letters picked without replacement from {b: 2, c: 1}?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 (base 13) in base 15?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 453 - 475.1. Let f = 3.1 + b. Let u = f - -18.99924. What is u rounded to four decimal places?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 0.1, -0.4, 2402.83?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 235, 188, 99, -38, -229, -480, -797, -1186?\n\"Answer: -j**3 - 15*j**2 + 5*j + 246","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 402577 (base 10) to base 3\nAnswer: 202110020021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -5 - -78?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 116*z = 141*z - 25 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 42872266?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.37226726 take away -53?\nAnswer: 55.37226726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*r - 4 = -5*k + 9, -k + 17 = 3*r. Suppose -k*t + 572 = 187. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 798 a factor of 2193344?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 32568174.\nAnswer: 2, 3, 191, 9473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -92*l + 92*l + v = -1, -2*l - 5*v + 23 = 0 for l.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = -21*z**3 + 145*z**2 + 14*z - 20. What is j(7)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h = -10, k + k + 8 = 2*h. Let x be k\/3 - 1\/3. Let g be 4\/8 - (-2 - x). What is the biggest value in -1, g, -0.3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 336908198 to the power of 1\/3, to the nearest integer?\nAnswer: 696","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0 * -8916085.6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 26 + 14*d - 14 - 12 + 22*d.\nAnswer: 36*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (1\/2)\/((-2)\/(-7596)). Suppose o = f + 2*f. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 22330279.\nAnswer: 1487, 15017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 208 - 203. Calculate the remainder when (-122)\/(-18) + (-2)\/(-9) is divided by g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10294 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.01 + -0.71. Let a(q) = q**2 + q + 1. Let g be a(0). Suppose -21*l + 73 = -32. What is the closest to g in w, l, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 60 - 55. Suppose 3613 + 495 = r + f, -z*r = f - 20544. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 534106351?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1399?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Does 18 divide 2910394?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1.25 - -0.05. Let j = g - 9.8. Let p = 11.000033 + j. What is p rounded to five dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 81676848 and 16?\nAnswer: 81676848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 6*n + 50 - 20 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = q. Let a be 3\/(-15) - (-48)\/15. Suppose a = 3*r - 12. Let x(t) = r*t**2 - 3*t**2 + 0*t**2. Calculate u(x(j)).\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.01 * -0.07.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-25 + 2*r**4 + 34 + 10)*(-1 + 0 + 3) to the form l*r**3 + g*r**2 + b*r**4 + o*r + s and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 5 - 24*g**3 + 109*g**2 - 32 - 109*g**2 wrt g?\nAnswer: -72*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find l, given that -l**5\/4 - 417*l**4\/2 - 235069*l**3\/4 - 6378015*l**2 - 233937025*l = 0.\nAnswer: -322, -95, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -1645\/2 - -781. Suppose 2*s - 8 = 4*y, 5*s - 2*y - 14 = 2*y. Suppose 110 = h + s*h + r, -115 = -3*h - 2*r. What is the common denominator of n and h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 493 minutes after 9:19 PM?\nAnswer: 5:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -3766338*a**2 - 3*a - 6204 wrt a.\nAnswer: -7532676","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.2 and -4.67.\nAnswer: 0.934","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1*13\/(-52)*20\/3.\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-4 - 13*p - 6 + 11*p)*(2*p**2 - 6*p**2 + 2*p**2) to the form c + y*p**3 + q*p**2 + s*p and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -138128*h**3 - 8*h - 6079.\nAnswer: -828768*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.0275 - 0.0725. Let l(o) = -3 + 8*o - 21*o + o**3 + 7*o + 4*o**2. Let g be l(-4). Which is smaller: k or g?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 5, 0.4, 67, -19, -5, 37, 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sum 0.1044 and -0.069.\nAnswer: 0.0354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 88 + -85. Let b be -1*(-5 + (0 - 0\/c)). What is the highest common divisor of 3 and b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2013\/44 + (-1)\/(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -8, 0, 2, 14, -1, 803, -2 in descending order.\nAnswer: 803, 14, 2, 0, -1, -2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9 + 2*i**2 - 13135*i + 13135*i.\nAnswer: 2*i**2 - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-2)\/(-6))\/(13\/1404*63).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 58 - (16 + (4 - (-1 - -11) - -1))\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 6\/5 of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1529120 = -317*m + 127*m. What is the tens digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 3\/2*((22 - 23) + 5). Solve 15*l + 54 = m*l for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = n**3 + 6*n**2 + 5*n - 8. Let m be i(-4). Solve m*z + 5*r - 36 = 0, -2*z + 2*r = -0*r for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence cwww when four letters picked without replacement from {c: 3, w: 5}?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Determine r, given that 3*r**5 - 1440*r**4 + 438891*r**3\/4 + 4317*r**2\/4 - 327735*r\/4 - 109725\/4 = 0.\nAnswer: -1\/2, 1, 95, 385","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4 - (2 + 1) - 1 - 2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*y + 42*l = 47*l + 17, 2*y - 4*l - 12 = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -6 + 3 + 3 + -3 + -2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1602, -3032, -4462, -5892, -7322?\nAnswer: -8752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -7812 divided by 868.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -59\/11 + 373\/88. Calculate the common denominator of f and 103\/44.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2\/17, 2, -1, -1237\/3 in descending order.\nAnswer: 2, 2\/17, -1, -1237\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z - 2*u + 0*u - 10 = 0, 2*u = -10. Suppose z = 6*m - 7*m + 5. Find the third derivative of -3*i**3 + 5*i**2 + m*i**3 + i**2 wrt i.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.07?  (a) -2  (b) 0.4  (c) -283\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 760301811 to the power of 1\/3, to the nearest integer?\nAnswer: 913","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -3?  (a) 2  (b) 4  (c) -1.49  (d) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -75 + 78. Solve -16 = 19*s + j for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 0 and -1423\/56990 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d + f - 7 = 0, 2*d - f = -3*d. Let l = d + 2. Suppose l*h = -22 + 64. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*g**2\/6 + 60238930*g\/3 + 362872868754490\/3.\nAnswer: 5*(g + 12047786)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is -3\/10 < 93?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.5 + -71.5. Which is smaller: 0.1 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y - 3*i = -36, -i - 20 = 4*y - 0*i. Let a be 25643\/(-6) - (-1)\/y. Let k = a + 162423\/38. Calculate the common denominator of 127\/6 and k.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 14359 is divided by 1930?\nAnswer: 849","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1305527.\nAnswer: 1305527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) be the first derivative of -4*l**3\/3 + 8*l**2 - 12*l - 11. Find w, given that j(w) = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-8)\/133*((-512)\/768)\/(6\/63)?\nAnswer: 8\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: (-7592)\/438*(-18)\/(-234)\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17*u = -203 - 451 - 519. Solve -u = -11*j - 14 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 12221202 + -21?\nAnswer: 12221111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -10 + 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in one ninth of a hour?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 2, 28, 54, 80?\n\"Answer: 26*u - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 4 + 0. Let d = 7 - a. Let r = 5 - d. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 60914965 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round 5807.153 to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Divide 66 by 117.\nAnswer: 22\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 53*a**3 - 472*a**2 wrt a?\nAnswer: 318","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(19) - (sqrt(2736) - (sqrt(2736)*2)**2)) + sqrt(190)\/sqrt(250).\nAnswer: -54*sqrt(19)\/5 + 10944","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f - 34 = -2*b, -5*b + 2*f = -6*b + 17. Suppose -10 = 3*s + 17. Let a = s - -14. Sort a, b, 2.\nAnswer: 2, a, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 988\/(-4693)*5\/(-5)?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = -12*a + 2. Let i(k) = -13*k + 3. Give -3*i(f) + 4*s(f).\nAnswer: -9*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) 0.2  (b) 10  (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 557 minutes after 4:28 PM?\nAnswer: 1:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 7.46 + 0.04. Let w = -6.410496 - 1.08919. Let m = z + w. What is m rounded to five decimal places?\nAnswer: 0.00031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = -48*l**3. Let s(f) = -4945*f**3. Calculate 207*o(y) - 2*s(y).\nAnswer: -46*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = 6*q + 74. Let k(a) = a**3 - 6*a**2 - 30*a + 15. Let l be k(9). Let g be f(l). Solve -b - 5*z + 6 + 3 = 0, g*b = 4*z - 10 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve h - 20175*p = -20172*p + 11, 5*p = h - 21 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -33078*w = -33100*w + 1408 for w.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 254 - 318 - (-4 + -34).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -476\/3 + 160. Which is the second smallest value?  (a) 5  (b) -4  (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 43 a factor of 15998?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -13.65 - 0.35. Let c = 0.243 - -6.757. Let v = c + f. Are v and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 93676 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 d = 4 - 2. Suppose -d = -4*a + 6. Suppose 3*w - 2*w - 40 = 0. Solve 3*m - a = -t - 22, 3*m = -5*t - w for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 20.9639 and 68.\nAnswer: 1425.5452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -27*l**3 - 54984920*l**2 + 27492460*l**2 + 27492460*l**2.\nAnswer: -27*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 224 divided by -28.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) 0.21  (b) 1.6  (c) -0.4  (d) -2\/135\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*b**2\/9 - 27230*b\/9 + 726408.\nAnswer: -2*(b - 236)*(b + 13851)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000004824931 to 6 dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) be the third derivative of -l**7\/5040 - l**6\/240 + l**5\/15 + l**2. Let y(t) be the third derivative of v(t). Let q be y(-9). Is q >= 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/2?  (a) -1\/6  (b) 0.1  (c) 0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 3\/5, -2200, -5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 3501670, 3501663, 3501654, 3501643?\nAnswer: 3501630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 296 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = f**3 - 4*f**2 + f + 1. Let p(y) = y**3 + 11*y**2 - 14*y - 17. Let x be p(-12). Suppose -9*v + x*v + 8 = 0. Determine o(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -29521 - -29698. What is the nearest to 0.2 in g, -6\/11, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1.3 in 2\/23, 0.6, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*c + d - 5 = 0, -2*c = 3*c + 2*d + 12. Let j be (c - (4 + -4))*(-6)\/6. Factor 12\/7*a + 2\/7*a**j + 18\/7.\nAnswer: 2*(a + 3)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -30012 + -4?\nAnswer: -30020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = u**2 + 6*u - 13. List the prime factors of r(-14).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2451665367 to the nearest integer?\nAnswer: 49514","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 1+-0.8144\nAnswer: 0.1856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 64\/3 and -67\/30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -27181 or -27182?\nAnswer: -27181","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-7)\/(-28))\/((-16)\/(4160\/(-5)))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 21*j*s + 4598*j + 14545*s - 85 wrt s?\nAnswer: 21*j + 14545","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.13?  (a) 1\/82  (b) -4\/9  (c) 46  (d) -339\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f = 5*j - 93, j + 0*j + 2*f = 25. Is j a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 70, -238, -3 in decreasing order.\nAnswer: 70, -3, -238","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -77\/20 and 1835\/560 + 4\/(-42)*-3?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7809 = -14*s + 9747. What is the greatest common divisor of s and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -27, -55, -107, -195, -331, -527, -795, -1147?\nAnswer: -1595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 25 divide 325?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 29 a factor of 1044?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 49280?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1764277?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-484)\/(-660) - ((-30)\/9)\/(15\/(-6)).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 0 + -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -28, -8\/3, -9696?\nAnswer: -9696","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 17929 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/5?  (a) 1\/2  (b) 1.3  (c) -297  (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 78 - 80. Let q = 0 - -1. Which is the third smallest value?  (a) t  (b) -1  (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*b + 9 = 3*b. Let h = b - 5. Sort h, -1, 3\/5.\nAnswer: h, -1, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 30311976 a multiple of 617?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = -2*f + 8. What are the prime factors of h(-8)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 = 5*x, -3*v - 13*x + 497 = -17*x. Suppose 0 = -d - 2*d - 294. Let t = v + d. What is the tens digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 578 and 267962823.\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence iij when three letters picked without replacement from ejijiifjnijijifii.\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 129011\/157296 + 3\/1808. Find the common denominator of s and -33\/29.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -174485259472775 less than 3?\nAnswer: 174485259472778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4\/6*15\/(-65)*39\/2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = -3*h - 1. Suppose -7*f = -11*f + 40. Suppose 122 = -f*o + 12. Put h, -1, o in ascending order.\nAnswer: o, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-3 - 2*s + 3)*(-2 + 6 - 3) - 26*s + 9*s - 12*s)*(8*s**2 + 2*s**2 + 10*s**2).\nAnswer: -620*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"}
{"text":"Question: Solve 2*q**4 - 220*q**3 + 426*q**2 + 648*q = 0 for q.\nAnswer: -1, 0, 3, 108","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 628 minutes after 3:45 PM?\nAnswer: 2:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*j + 187 = -8*c + 63, c = -3*j - 49 + 16 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 47727 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2383, -2540, -2797, -3154, -3611, -4168?\nAnswer: -4825","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Express 926*r**3 + 0 - 5 + 0*r - 2 - r + 5 as s + u*r**3 + o*r + j*r**2 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 15802, 31664, 47526, 63388, 79250, 95112?\nAnswer: 110974","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c + 2 = -3*l, 2*l + 4 + 1 = -5*c. Let n = 2 - l. Suppose -3*v + 25 = n*v. Let x(k) = -k**3 + 5*k**2 + k - 5. Determine x(v).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = 1. Let q(j) = -7*j**2 - 2 - j**3 - 13*j**2 + 20*j**2. What is -6*c(g) - 3*q(g)?\nAnswer: 3*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) be the first derivative of -2*b**3\/27 + b**2 - 16*b\/9 + 22. Find v, given that j(v) = 0.\nAnswer: 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-1 - 4)*241\/(-1184515). Is t less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 186\/275 + 5396\/10725. What is the common denominator of h and ((-83)\/(-7))\/(((-3168)\/(-56))\/(-6))?\nAnswer: 858","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2 - (-14 + 27 - (3 - 4))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*o + 62*o = -19*o + 576232. Is 59 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + (-6*(sqrt(1573) + -2*sqrt(1573) + sqrt(1573) + sqrt(13)) + 2*(-3 + (0 + sqrt(13) - sqrt(13) - sqrt(13))))**2.\nAnswer: 96*sqrt(13) + 865","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 21 + -6. Solve 5*l = 2*l + k for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 2 and 77?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 4\/12 - (-34)\/6. Factor -k**2 + 7*k**3 + 2*k**2 - w*k**2 + k - 3*k**4.\nAnswer: -k*(k - 1)**2*(3*k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = n**2 - 2*n + 1. Let w(m) = 5*m**2 - 9*m + 3. Let v = 72 + -81. What is v*y(s) + 2*w(s)?\nAnswer: s**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert 210311 (base 4) to base 15.\nAnswer: a72","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -90, -17, 118, 345, 694, 1195, 1878, 2773?\n\"Answer: 5*f**3 + f**2 + 35*f - 131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (11\/(-132)*-4)\/((-3)\/261).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.91 + 1.09. Sort t, -1\/6, -2, -1\/5 in decreasing order.\nAnswer: t, -1\/6, -1\/5, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 475*f - 717 + 242 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2117*s**5 + 2*s**4 + 3*s**3 - 131*s wrt s?\nAnswer: 42340*s**3 + 24*s**2 + 18*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c = 153 - 63. What is the highest common divisor of 40 and c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = -2*f**2 - 239*f - 47. Determine h(0).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {c: 2, l: 8, o: 1, h: 7, s: 1}. Give prob of sequence lh.\nAnswer: 28\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = -4*l**2. Let m = 27 + -25. Let u(k) = -7*k**2 + 2*k + 2. Let q(p) = -266*p**2 + 77*p + 77. Let o(t) = m*q(t) - 77*u(t). Calculate i(o(a)).\nAnswer: -196*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6*w**3 + 1217 - 2434 + 1217 + 149*w.\nAnswer: -6*w**3 + 149*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 1792 rounded to the nearest 100?\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 32, -3, -1128031?\nAnswer: 32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -126446 (base 11) in base 10?\nAnswer: -198853","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"}
{"text":"Question: Rearrange k**2 + 24*k - 24*k + 11 - 2*k**2 to n*k**2 + j + x*k and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 62917111?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.3?  (a) -7  (b) 1  (c) -31  (d) -1484.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 13375043 and 155.\nAnswer: 66875215","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*b + 35 = -5*s, 0 = 4*s - b - 3*b - 4. Let c(q) = -46*q**3 + 3*q**2 + 2*q - 2. Is c(s) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((-2)\/4)\/(7\/2968) - -1. Let g = -207 - t. Factor 0 - 3\/5*m**3 + 3\/5*m**g - 3\/5*m**2 + 0*m + 3\/5*m**5.\nAnswer: 3*m**2*(m - 1)*(m + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 7221 and 249.\nAnswer: 7221","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = 3*s**3 - 2*s**2 - 4. Calculate c(2).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 160544136?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 49354 is divided by 2349?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 233911 is divided by 41?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 748*w - 3438 + 3439 + 506*w - 214*w to y*w + k and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 583734*q - 583731*q = 4*f + 52, 4*q + 5*f + 67 + 29 = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = 27*x**2 - 7*x + 530. Let d(q) = -21*q**2 + 6*q - 531. Give 5*d(m) + 4*z(m).\nAnswer: 3*m**2 + 2*m - 535","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 121\/798 and 109\/1064.\nAnswer: 3192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -30*x = -24*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is (3*(-5)\/(-12))\/((-1)\/(-4))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ttupt. Give prob of picking 2 t and 1 p.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -60*r = -63*r + 12 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = z**2 + 5*z - 22. Let l be h(-9). Suppose b - 19 = 2*o, -3*b + o = -l - 18. What is the highest common divisor of b and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 108 - 112. Calculate the smallest common multiple of (3 + a)*1 + 7 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 318519 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z**(-1\/4)\/z*z*z**(2\/9))\/(z**6\/(z*z**(1\/7))))\/((z**1\/z)**20*(z\/z**(2\/5))**(-1\/58)) assuming z is positive.\nAnswer: z**(-178117\/36540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 85 + -83. What are the prime factors of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c - 2 = -0. Let n = c + 4. Put 2\/11, n, -0.4 in decreasing order.\nAnswer: n, 2\/11, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 12 and 144.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = 2*l. Let k(i) = -17*i**2 - 19*i - 143*i**2 - 8*i + 27*i. Give y(k(c)).\nAnswer: -320*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Work out 3179 * 2.\nAnswer: 6358","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -23 (base 12) in base 15?\nAnswer: -1c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(209)*-1*1)\/(2*sqrt(11)*-3).\nAnswer: sqrt(19)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*n = 4*w - 1040, 51 - 569 = -2*w + 3*n. Is 53 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -652340 divided by -4.\nAnswer: 163085","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express 60*m**2 + 335*m**2 + 12*m**2 in the form y*m + u*m**2 + j and give u.\nAnswer: 407","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 74 and 29674.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:42 PM and 10:32 PM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -6930246 divided by 58\nAnswer: -119487","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in 1\/30 of a minute?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = s**3 - 12*s**2 - 21*s - 95. Let j be f(14). Let o be (-70)\/(-105) + (-2)\/j. Suppose 2*h - 3*k = 10, -h - 6 = 2*k + 2*k. Solve o = z - 1 - h for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 6*v - v - 55. Let o(t) = -t**3 + 7*t**2 - 5. Let p be o(7). Let s be -1*((-3 - p) + -24). Calculate the greatest common factor of v and s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 z and 1 k when three letters picked without replacement from kzzk?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 5 - ((-30)\/(-135) + (-34)\/(-9)). What is the fourth smallest value in 0.3, -2, i, 94?\nAnswer: 94","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) be the first derivative of -2 - 5*r**5 - 3 + 0*r**5 + 5*r + 4*r**5. What is the first derivative of b(x) wrt x?\nAnswer: -20*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5823 divided by 3?\nAnswer: 1941","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: ((-4104)\/(-308) - -12*(-18)\/1512) + 26\/(-143)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-2764)\/(-286) - (-6 - (-380)\/65). Let g = q - 10. Which is the fourth smallest value?  (a) -0.5  (b) g  (c) 4  (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:26 PM and 4:17 AM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (4\/(-4))\/(1\/(-5)). Suppose 10 + 8 = -2*q - 4*g, l*g + 30 = 5*q. Suppose -5*f + 1 = i - 10, 5*i = -2*f - 14. What is the closest to q in 4, i, -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 370\/(-222)*(-6)\/(-14)*(-2)\/(-5)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in 2\/7, 3, 1\/3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.3, 3, 259, 2.\nAnswer: -0.3, 2, 3, 259","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 5 and 241327?\nAnswer: 241322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, 13, -2\/7, -4.3, 2\/9 in decreasing order.\nAnswer: 13, 2\/9, -2\/7, -3, -4.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 73 is divided by (-86)\/(-2) - (-1 - (-4 - 1))?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 75 and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Express 83 - 64*n + 71*n - 10*n**4 - 38 - 43 in the form z*n + x*n**2 + b*n**3 + u*n**4 + l and give u.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Work out -5.616 * -0.1643.\nAnswer: 0.9227088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 2\/481  (b) -3  (c) 3  (d) -3650  (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 3202271 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -151165\/76 or -1988?\nAnswer: -1988","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 3 + -5 + (8 - 10) + -5\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b**5 - 24*b**4 + 488*b**3 - 1686*b**2 - 487*b + 1710 = 0. Calculate b.\nAnswer: -38, -1, 1, 5, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of h*l*n - 155*h*l + 4410*h*n + 37 wrt n.\nAnswer: h*l + 4410*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is one twentieth of a litre in millilitres?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 83, 71, 33, -43, -169, -357, -619?\n\"Answer: -2*l**3 - l**2 + 5*l + 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ynn when three letters picked without replacement from nnynyynyynny?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: ((-2)\/6)\/((-18)\/(-378))*8\/(-14)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 68 (base 15) to base 6\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x = 233 + 72. Is -305 < x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t + 20 = 16. Let r(x) = -4199*x + 2. Is r(t) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 609*c**2 - 2 + 11068*c**3 - c**2 - 11067*c**3 to the form v + r*c**2 + b*c**3 + k*c and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = l**2 + 20*l + 102. Let b be j(-8). Solve -b*f - 3*z = -f + 6, 0 = -5*f + z - 18 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-g - 6*g + g)*(2 + 2 - 8 + (-4 + 3 + 3)*(3 - 4 + 2) + 3 - 2 - 2 - 2 + 6 + 4).\nAnswer: -30*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.081 + 15.681. Let o = 16 - t. Which is the nearest to 0?  (a) 4  (b) o  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = -2*q - 4. Let n(f) = -10*f - 81. Let y(t) = n(t) - 6*v(t). Let w(b) = -b. Determine y(w(d)).\nAnswer: -2*d - 57","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 628.09 - 620. Let f = t + -0.29. Let i = f + -8.4. Is i smaller than 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3248415.\nAnswer: 3, 5, 37, 1951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 0.3  (b) -1794  (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 14973733?\nAnswer: 41, 365213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -55282, -55219, -55114, -54967, -54778?\nAnswer: -54547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -3 + 104?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*b**4 - 4*b**4 + 2*b**4 - 2*b + 2*b + 2*b**4 + (2*b**2 - 3*b**2 - b**2)*(-2*b**2 - 5*b + 5*b) + (-b - 3 + 3)*(3*b**3 - 3*b**3 - b**3).\nAnswer: 5*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = y**2 + 0 - y - 4*y**3 - 4 + 5 + 5*y**3. Let g(h) = -6*h**3 - 8*h**2 + 6*h. Let w(s) = g(s) + 4*u(s). Factor w(a).\nAnswer: -2*(a - 1)*(a + 1)*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 16773431 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1088655225?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-6)\/(-2)*34\/3. Suppose 3*y + l = 1. Let g = y + 25. List the prime factors of g.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*f**3 - 62*f**2 + 62*f**2)*((1 - 2 + 2)*(-f**2 - f**2 + 0*f**2) - 3 + 3 + 2*f**2 + (2*f + 4 - 4)*(0*f - f + 3*f) + 0*f**2 - 2*f**2 + 0*f**2).\nAnswer: -8*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 98 + -95. Suppose 0 = i*y + 3*x - 93, 3*x - x - 90 = -3*y. What is the greatest common factor of y and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -3*f**2*u**2 + 1566*f**2*u + 13*f**2 - 932 wrt u?\nAnswer: -6*f**2*u + 1566*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*s + 1 - 3 = -2*r, 4*r = 3*s - 29. Suppose 8 + 1 = s*u. List the prime factors of u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -24354, -97288, -218846, -389028?\nAnswer: -607834","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-16)\/90)\/((-2088)\/46980).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*b**2 + 164*b - 3362.\nAnswer: -2*(b - 41)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -3 + 165702190?\nAnswer: 165702188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is i in i**3\/6 - 45*i**2\/2 + 88*i - 262\/3 = 0?\nAnswer: 2, 131","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 158313995?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = -u**3 - 13*u**2 - 9*u + 14. Suppose 4*q + 6 = 7*q, 4*q - 32 = 2*g. Give o(g).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = -2*q - 20. Let y be m(-12). Let l be y - (-6)\/(21\/(-7)). Solve 4*c + 11 = 5*z - l*z, 5*z + 3*c - 28 = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = 13*v**3 - 4*v**2 + 4*v + 4. Let o(p) = 12*p**3 - 3*p**2 + 3*p + 3. What is -3*k(u) + 4*o(u)?\nAnswer: 9*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2056 (base 7) to base 5.\nAnswer: 10402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -43*k + 47*k - 4*j - 16, -4*k - 3*j - 26 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 7012694881 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Put 1470, -6, 0.2 in increasing order.\nAnswer: -6, 0.2, 1470","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 258 + -256. Suppose -4*z = -u*f + 558, 0 = 7*z - 10*z. Is f a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = -3164068*z**3 + 4*z**2 + 26*z + 25. Is x(-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00726439 rounded to five dps?\nAnswer: 0.00726","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 20*p**2 - 531122 + 55*p**3 + 531125 - 20*p**2.\nAnswer: 55*p**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 7962 - 7967. Which is the smallest value?  (a) 16  (b) -12.2  (c) 1  (d) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1048?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 + 5 = 2*c. Solve -5*j + 4 = 3*y, -3*y + c*j = -8*y + 11 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-700)\/10*(-46)\/(-2990)*78?\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1291778 or 1291777?\nAnswer: 1291777","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Express (-254 - 20*t + 254)*(2 - 4 + 4) + (4 - 2 - 3)*(-2*t + 3*t + t) + 0 - 2*t + 0 in the form c*t + w and give c.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -2 - -203?\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-20)\/(-100) - (1 - 1). Let 8\/5*x + 7\/5*x**2 + h*x**3 - 16\/5 = 0. Calculate x.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = l**3 + 16*l**2 - 15*l - 11. Calculate the lowest common multiple of j(-11) and 33.\nAnswer: 759","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify y**(-8)*(y\/y**16)\/y*(y*y*y**(-9)*y)\/y**(2\/7) assuming y is positive.\nAnswer: y**(-212\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3*-15441271.\nAnswer: -46323813","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 72636269 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -8 + 14. Find the third derivative of -78*t**2 + 4 - 22*t**2 + 63*t**2 - 11*t**x + 3*t**6 wrt t.\nAnswer: -960*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -5389 divided by 9950?\nAnswer: -5389\/9950","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -2 - -3. Let b be (-1)\/((-1)\/(-3)*1). Suppose -3*g - 2*r + 25 - 29 = 0, r = -2*g - 4. What is the closest to d in b, g, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 17*(-4)\/4*31\/31.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = 4*n**2 + 4*n**2 - 7*n**2 + 641*n - 674*n + 234. Let f be a(26). Calculate the greatest common factor of 247 and f.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000022938 to 6 dps.\nAnswer: -0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence gjg when three letters picked without replacement from {j: 1, g: 11}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 93345 = -5*q + n + 408777, -252360 = -4*q - 4*n. List the prime factors of q.\nAnswer: 3, 17, 1237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-4 - (-11)\/2)\/((-1530)\/(-240))?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Does 108 divide 1714060255?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 1111011 (base 3) in base 15?\nAnswer: 4c4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 277?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*h**2 - h**2 - 2*h**3 + 2*h**4 + 2*h**5 + h**2 + 0*h**5.\nAnswer: 2*h**2*(h - 1)*(h + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 98 divide 1130117?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -222 (base 12) in base 11?\nAnswer: -266","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*(sqrt(77) - sqrt(77)*2*5)*-2)\/((sqrt(224)\/sqrt(4)*-5 - sqrt(56))\/(sqrt(8) - 2*sqrt(8)*2)).\nAnswer: 45*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -67 + 66. Which is the closest to m?  (a) -1  (b) 2\/9  (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = -4*d**2 + 2*d - 392*d**3 - 3*d**2 + 0*d + 393*d**3. Calculate l(7).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -3, -11\/4, -2\/9, 3, 206, 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 18652.579 - 18611. What is b rounded to 0 dps?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -2.1 - -0.1. Let d = f - -2.5. Which is the closest to -1\/3?  (a) d  (b) -3  (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*s - s - 3*v - 2863 = 0, v = 4. Let b = -13875 - s. Round b to the nearest ten thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 584*f - 585*f + 247 = 16*q + 9*q, -3*q + 5*f + 45 = 0 for q.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 74226 is divided by 1159?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -1.8 + -1439727794\nAnswer: -1439727795.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) = 10*w**2 - w + 2. Let i be p(-2). Let s be 1\/(i\/20 + -2). Suppose -2*f - s = -57. Does 11 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 60.36*67.2.\nAnswer: 4056.192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = -h**2 - 4*h + 2. Let l(k) = -4*k**2 - 17*k + 7. Let x(t) = -2*l(t) + 9*r(t). Give x(3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine a so that 2*a**2 - 1 - 6 + 1 - 4*a + 0*a**2 = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 h and 1 n when three letters picked without replacement from hnhnnnhnnhnnnhhnnn.\nAnswer: 15\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = 10*v**2 - 10*v + 9. Let k be j(6). Suppose p - k - 483 = 0. List the prime factors of p.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 + 2 - (-2 + -10 - -9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve r + 0*r + 53 = p, -2*r - 5*p + 68623 - 68379 = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -1\/11, 21\/5, 0.3, 1?\nAnswer: 21\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = 8 - 1 - u + 0 + 0*u. Let j(m) be the first derivative of 2*m**2 - 706. Give j(g(a)).\nAnswer: -4*a + 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -2870 + 2807. Which is smaller: -574\/9 or r?\nAnswer: -574\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1881 = -102*l - 107*l for l.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 59 is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p = -0*p - 2. Suppose p*q = 4*b + 260, -484 = -4*q - b - 3*b. Suppose 3*j - q = -j. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -22 - -21.5. Sort -4\/3, -1\/9, d in increasing order.\nAnswer: -4\/3, d, -1\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine y so that 3*y**3\/7 - 36*y**2\/7 + 141*y\/7 - 180\/7 = 0.\nAnswer: 3, 4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 231321 - -1133?\nAnswer: 233120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*a - 15 = -a, -a = -4*u + 17. Suppose -3*d + 6 = -0*d. Let t = -6 - -23. Solve -u*q + 5*m + t = 0, -5*q + d*q + 2*m = -14 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -8937.627 + 8938. Which is smaller: l or 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = f**2 + 4*f + 4. Let r be x(-3). Let q = 0.6 - -2.4. What is the nearest to r in q, -3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((2 + sqrt(325))*6 + 3 - ((sqrt(325) - sqrt(325)*-3)*1 + sqrt(325))*-3)**2 + -2.\nAnswer: 3150*sqrt(13) + 143548","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = -7*t**2. Let y(g) be the first derivative of g**3\/3 + 1. What is f(y(n))?\nAnswer: -7*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = -6*s**3 - 17*s**2 - 41*s - 5. Let c be w(-3). Solve -130*z = -c*z - 15 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = y**3 - 13*y**2 + 11*y + 13. Let w be a(12). Let f(j) = -2 + 2*j - w - 7*j - j. Is f(-3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v + 4*w + 79 = 0, 20 = 5*v - w - 318. 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: Expand (-l + 0*l + 0*l)*(3*l**2 - 2*l**2 - 2*l**2) + 2*l**3 - l**3 + 3 - 3*l**3.\nAnswer: -l**3 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -0.4 and -19282.29296?\nAnswer: 19281.89296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) be the first derivative of -2\/3*j**3 + 1\/4*j**4 + 3 - 1\/2*j**2 + 2*j. Let k be z(2). Solve k = -2*s + t - 8, 5*s + 0*t = t - 20 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 77676.21899 rounded to the nearest ten?\nAnswer: 77680","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b + 20 = b. Suppose 0 = -4*c + 3*k + 20, -4 = -2*c + b*k + 6. Solve -c*o - 9 = 6 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 127 minutes after 3:29 AM?\nAnswer: 5:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 88165 is divided by 4879?\nAnswer: 343","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = 2*b - 4. Let a(g) = 1. Suppose 4*y + u = -3*u, u - 5 = 4*y. What is y*k(d) - 4*a(d)?\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Put 13, 57, 1907 in descending order.\nAnswer: 1907, 57, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 96*m - 94*m - 16 = 2*k, 5 = -2*k + m for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = -x. Let w(i) = -5*i + 6. Let q(y) = 6*g(y) - w(y). Let h be q(-8). Solve 2*o + h = -0*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1370 a factor of 138511066?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Work out -219.839 * 3.4.\nAnswer: -747.4526","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 147 to the power of 1\/2, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2168 is divided by 642?\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -2083 (base 10) to base 13\nAnswer: -c43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k - w = 211, -4*k + 7*w = 3*w - 432. Suppose 3*f - 223 = -k. What is the greatest common divisor of 50 and f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10007 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) be the second derivative of -y**5\/10 + 10*y**4\/3 - 109*y**3\/3 + 90*y**2 + 605*y + 2. Factor g(j).\nAnswer: -2*(j - 10)*(j - 9)*(j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 311 + 103313121?\nAnswer: 103313432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = 10 + 7*p - 8 - 1. Let o be u(2). Find the second derivative of 42*h**2 + 18*h + 32 - o - 17 wrt h.\nAnswer: 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.6 and -0.035?\nAnswer: 0.021","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 237 a factor of 1232400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1075?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {m: 8, o: 3, e: 2, g: 6}. Give prob of sequence moe.\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 3435812 to the power of 1\/2, to the nearest integer?\nAnswer: 1854","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = -20*j + 1422. Let t be o(71). Let s = -144 - -544. Find the second derivative of s*a**t + 10*a - 400*a**2 - 19*a**5 - a**5 wrt a.\nAnswer: -400*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 13 + (-4 - 3) + 10 + 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 143\/419064 and 61\/2052.\nAnswer: 3771576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2012?\nAnswer: 2, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Product of -7.2 and 223.47.\nAnswer: -1608.984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*g - 204 = g - 234 for g.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = -g**3 + 55*g**2 - 546*g + 4. Calculate z(42).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 1352 (base 8) to base 7\nAnswer: 2114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -38*m**4*t - 9*m**3*t - 306*t wrt m?\nAnswer: -152*m**3*t - 27*m**2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Express (-8 - 7 + 0)*(31*l**2 + 22 - 22) + (-l - 1 + 1)*(1 + 2*l - 1) in the form w*l**2 + u + b*l and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort -107, -474, 10, 2 in decreasing order.\nAnswer: 10, 2, -107, -474","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-2 - -2)\/(-2 + 0). Let d(j) = -j**3 + 6*j**2 - 6*j + 7. Let a be d(5). Let w be a + (-46)\/20*1. Is v less than or equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 346 + -334. Suppose -n - r = 4*y - 180, -2*y = 3*n - 534. List the prime factors of n.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 1136*f - 37503 - 1121 for f.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.489867 - -0.49. Round k to four dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*h + 4*x - 9342 = 0, 2*h - 41*x = -36*x + 3076. What is the tens digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in fourty-five halves of a hour?\nAnswer: 81000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) be the second derivative of -b**7\/42 - 2*b**4\/3 + 5*b. What is the third derivative of r(f) wrt f?\nAnswer: -60*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 31\/2 and 35\/386.\nAnswer: 386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -67586432 + 236.88?\nAnswer: -67586195.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many days are there in 5834992.5 minutes?\nAnswer: 4052.078125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = g**2 - 6*g. Let f be (-54)\/24*4\/(-3). Suppose -f*s - 1 + 6 = 2*m, -3*s = m - 1. What is a(m)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {s: 12, e: 1, i: 1, b: 5}. Give prob of picking 1 s, 1 i, and 2 b.\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = -56*x**2 + 108*x + 453. Calculate s(4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = -7*a + 15. Let s(k) = 5*k - 15. Let r(o) = 2*h(o) + 3*s(o). Let w(v) = -v. Give w(r(g)).\nAnswer: -g + 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 4*b + 4*g - 16, -5*b - 6*g - 2817 = -2838 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -2 - -2. Let r = 2 - -3. Suppose -4*g - 4*w + 16 = 0, r*w + 4 = -1. Solve -3*z + g*z = x for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -25*u**2 - 16*u**2 + 35*u**2 - 9*u + 9*u + 25*u**3 to the form o*u**2 + r*u**3 + t*u + z and give r.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = m - 6*h + 9*h - 2923, 0 = -5*h + 10. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 53144 + -3?\nAnswer: 53141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -6233*f**3 + 2*f**2 - 1052*f wrt f.\nAnswer: -37398","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 234 is divided by 74.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = 5*x + 12. Is x less than or equal to -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2 + 2 + 2)*(-4 + 4 - l**3) - 10*l**3 + 21*l**3 + 12*l**3 to the form g*l**2 + v*l + m + x*l**3 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2\/5255 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*c**2 - c**2 + 11*c**2.\nAnswer: 7*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 3\/91  (b) 1  (c) -16.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in 1\/29, -0.04, 2, -4?\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-70 + 76)*1\/(-147).\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence jm when two letters picked without replacement from {m: 2, j: 2, t: 4}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -2118 divided by 684?\nAnswer: -353\/114","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -30.01978 rounded to the nearest 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*c + 2053 + 6235 = 0. Let f = 645 - c. Suppose -5*j + 7 = -4*j. What is the remainder when f is divided by j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j + 3*o + 57 = 0, 0 = j + 2*o + 12 + 8. Let w be (-13)\/3 - 6\/j. Let p(g) = -g**2 - 6*g - 1. Is 5 a factor of p(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 21052 and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 2911 - 108?\nAnswer: 2806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -56, -0.1, 0.043598?\nAnswer: 0.043598","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 124 is divided by 108?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Put -8\/3, 2, 3, -1 in descending order.\nAnswer: 3, 2, -1, -8\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 10479.\nAnswer: 3, 7, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = -6*j - 3. Let u(s) = 5*s + 2. Let h(r) = 4*g(r) + 6*u(r). Let y(w) = 3*w**2. Give h(y(o)).\nAnswer: 18*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = 4*i - 9*i**2 + 16*i**2 + 7*i**3 + 6 - 2*i**3 + i**3. Let g be m(-5). Let l = -388 - g. List the prime factors of l.\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12373 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = s + q - 8, -41 = -5*s - 2*q - 10. Let u = s + 0. Suppose 4*a - 28 = -2*i - 0*i, -4*a = i - 24. Calculate the highest common divisor of a and u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-147392)\/1128 + (228\/18 - 11).\nAnswer: -129","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24*v + 403 = 5011. Does 12 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) be the second derivative of -x**7\/5880 + x**4\/12 - 7*x. Let k(h) be the third derivative of w(h). Let k(s) = 0. What is s?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 46270391.\nAnswer: 61, 109, 6959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -11919*g**3*n**2 + 5*g**2*n**2 + 10*g**2*n + 11*g*n**2 wrt g.\nAnswer: -71514*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert -3bab5 (base 13) to base 16.\nAnswer: -1b448","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 4119649*l**3 - 4535009*l.\nAnswer: 24717894*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 14 and 84?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 1875.55 times 69\nAnswer: 129412.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -3943\/7 - -16957\/35. Which is greater: t or -78?\nAnswer: -78","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -460480, -460451, -460422, -460393, -460364?\nAnswer: -460335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 36, 34, 30, 24, 16, 6?\n\"Answer: -c**2 + c + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 37430 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -1 - -20921958993\nAnswer: 20921958992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Convert 47.23909ml to litres.\nAnswer: 0.04723909","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 42 and 2149.\nAnswer: 12894","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -883 times -8846\nAnswer: 7811018","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -386, -535, -692, -863, -1054, -1271, -1520, -1807?\n\"Answer: -v**3 + 2*v**2 - 148*v - 239","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s be -1 - -4 - (5 + -2). Solve s = -3*w - 2*w - 20, -w - 10 = -3*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (12\/(-63)*186\/(-62))\/(2\/(-14)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m\/(m*m*m**(2\/3)))\/m)**12\/(m*m**(-2\/5)\/m)**(-3\/5)*(m**0)**(-10\/3)\/(m**0)**(-43) assuming m is positive.\nAnswer: m**(-806\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = 18 - 30*f - 32 + 21. Is 2 a factor of j(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -6.8 + 52.8. Let v = 5485389370.00000042 - 5485389416. Let g = t + v. Round g to 7 decimal places.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 253977 + 393723 = 20*g. What is the highest common divisor of 255 and g?\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1536099 is divided by 929.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 699 minutes after 6:46 AM?\nAnswer: 6:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -0.2 * -167937058\nAnswer: 33587411.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 4  (b) 8.8  (c) 120  (d) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-3*(sqrt(119)\/sqrt(7)*1 - sqrt(17)) - (3 + -2*-4*sqrt(17)))*-5)**2.\nAnswer: 1200*sqrt(17) + 27425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 693 minutes before 6:08 PM?\nAnswer: 6:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = -4*k**2 + 7*k. Let b(a) = -15*a + 315*a**2 - 307*a**2 + 3 - 3. Let o(q) = -4*b(q) - 9*c(q). What is the second derivative of o(d) wrt d?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -2.63 + -0.37. Which is the closest to 0.1?  (a) -1  (b) 0.4  (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((1*(sqrt(76) + (sqrt(76) - (sqrt(76) + (-2*sqrt(76) + sqrt(76) - sqrt(76)))) + sqrt(76)))\/sqrt(4) + 2*(sqrt(19)*1 + -2))**2.\nAnswer: -48*sqrt(19) + 700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 8170?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = -122*j**2 - 3287*j + 10. Let w(u) = 133*u**2 + 3289*u - 11. Calculate 12*g(k) + 11*w(k).\nAnswer: -k**2 - 3265*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*f = -21*f + 7446. What are the prime factors of f?\nAnswer: 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -15 + -9 + -30 + ((1 - -1) + -4 - -2)?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -10100000100 - -110011101?\nAnswer: -1101100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -57*t + 303975 = 304032 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = 2*l**3 - 15*l**2 - 107*l - 24. Let o(s) = -6*s**3 + 46*s**2 + 320*s + 80. Let p(r) = 3*o(r) + 10*v(r). Factor p(g).\nAnswer: 2*g*(g - 11)*(g + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 88.5099ug?\nAnswer: 0.0000000885099","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = b - 107859*o + 107858*o + 6, -3*b - 5*o + 14 = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -100211012 - -1?\nAnswer: -100211011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -105509133\/547 - -192887. Let p = 354779\/2188 + g. Let n = p - 163. Which is the nearest to 8?  (a) n  (b) 5  (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 3 - 3)*((-k - 4*k + 3*k)*(0 - 4 + 6) + (-4*k + 4*k + k)*(27 + 34 - 52)).\nAnswer: 5*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11*l - 11 = -8*l + 5*n, 0 = -4*l + n - 7 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in 2, 4\/5, 8, 1\/1703, -2\/17?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 854479 is divided by 186.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*a = a - 12*c + 80, -a - 243 + 489 = -c + 234 for a.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -1434 divided by -239\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c\/((c*c\/c**(-3)*c*c)\/c))\/(c*(c*c\/c**(-2\/3)*c*c)\/c*c*c))\/((c*c**(-5\/6)*c)\/(c**7\/c)) assuming c is positive.\nAnswer: c**(-41\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 194 + -2?\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 11 - (-15 - -53 - 14 - -10).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.9800157 minutes to nanoseconds.\nAnswer: 58800942000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x = -2*x - 3*b + 3, 5*x = 2*b + 21. Let f(r) = -r**2 - 16*r + 17. Let l be f(-17). Suppose 137 = 2*q + 6*c - x*c, l = 2*c - 10. Is 20 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 2.4 + -8.4. Which is bigger: -2\/3 or y?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -36 = -11*r - r. Suppose -25 = 4*c - 9, r*c = -5*i - 12. Suppose -j + 2*j - 4*j = i. Solve j = 2*h + 2*h + 4 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = 3*m + 1. Let l(v) = 8*v + 3. Determine 2*l(w) - 5*r(w).\nAnswer: w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find g such that 2*g**5\/7 + 8*g**4\/7 + 10*g**3\/7 + 4*g**2\/7 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -522 - -522. Let i be (6\/(-7))\/(1\/(-7)). Suppose -i*t + 150 + q = 0. What is t rounded to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (18\/(-12))\/(3*(-1)\/10). Suppose -12 = -8*k + h*k. Solve 0 = k*j - 12 + 4 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -11 - ((-2 - 5) + 0 + 5)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -2128623, -2128624, -2128625?\nAnswer: -2128626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 110 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 10408\/3 + -3469. Let p = -0.77 - -0.47. Which is the closest to 1?  (a) r  (b) -4  (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g + 9 = 0, -c = c + 2*g + 4. Let h = -68.4 - -68. Sort c, -5\/4, h in ascending order.\nAnswer: c, -5\/4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 4*s**4 + s**3 - 261*s - 2.\nAnswer: 48*s**2 + 6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1 or 4\/10706907?\nAnswer: 4\/10706907","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (0 - -1)*(-5 + 7 + -77). Which is greater: -0.1 or z?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence cch when three letters picked without replacement from hhcqcoqqodqh?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 45*v + 25*v + 180 = -20*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 136267645373 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Put 11, 4, -153, 0, -5, 2 in decreasing order.\nAnswer: 11, 4, 2, 0, -5, -153","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 9719 + -6307. Let v = g - 337802\/99. Let y = 1\/33 + v. What is the closest to 1\/3 in y, 0.4, -0.5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -18, 5, 42, 99, 182, 297, 450?\nAnswer: 647","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t + 5*t = -p + 12, -4*t - 3*p + 12 = 0. Suppose -3 = -2*g - t*q, -1 = -g - 4*q + 3. Which is bigger: g or -2\/3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*m + 2*u + 12 = 0, -3*m - 15 = -2*m - 5*u. Suppose -5*y - 2*d + 17 + m = 0, -3*y + 11 = -d. Put y, -5, 5 in decreasing order.\nAnswer: 5, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11 a factor of 93555?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 44006, 44007, 44008, 44009, 44010, 44011?\n\"Answer: k + 44005","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 3305264?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -1*((-6)\/3 + 0). Suppose -3*o + 2*o = u*q - 12, 0 = -5*o + 5*q + 30. Solve o*k = 3*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 36668*l**4 - 9671 wrt l.\nAnswer: 146672*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) be the third derivative of p**5\/60 + 55*p**4\/72 + 34*p**3\/9 + 46*p**2 + 6*p. Factor h(b).\nAnswer: (b + 17)*(3*b + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5 + 3 + 1)*(-2*m + 1 - 1)*(m**3 - m**3 + 2*m**4).\nAnswer: 4*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (660\/2750)\/(12\/(-90)) + (-1251)\/(-645).\nAnswer: 6\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -588302*w + 588302*w - 262*w**2 - 1 + 1.\nAnswer: -262*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) be the second derivative of -r**5\/20 + r**4\/12 + 7*r**3\/6 + 213*r**2\/2 - 36*r. What is the tens digit of m(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*i - 206 = -4*k, -2*k - 8 = -4*k. Suppose 2*t - 28 = 4*t. What is the remainder when 7 is divided by (-18)\/(-63) + i\/t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 321, 35, -243, -507, -751, -969, -1155?\n\"Answer: v**3 - 2*v**2 - 287*v + 609","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: (-3)\/5*(-182)\/(-78)\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3272 is divided by 1622.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -3 (base 9) to base 6\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 divided by 24?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = -4*u - 4. Let s be d(-4). Let g be (-3 - -7 - 1)*104\/26. Calculate the highest common divisor of s and g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be ((-36)\/(-14))\/((-9)\/(-42)). Suppose i + 7 = m. Is i\/(-2)*(-198)\/15 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve u**5\/4 + 1307*u**4\/4 - 11205*u**3\/2 + 32383*u**2 - 72778*u + 55608 = 0.\nAnswer: -1324, 2, 6, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 36 and 78?\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from {z: 6, r: 4, x: 3}.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 9 + -2 + (-4 - -4 - (1 - -8)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = -i**2 + 18*i + 11. Let h be q(17). Find the first derivative of 27 - 4*l + 40*l - h - 28 wrt l.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = -w**2 - 2*w - 4. Let a be (-2 - -2) + -2 - 4. Let k be (14\/5 + -4)\/(a\/(-20)). Determine u(k).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*p + 16, 0 = -z + 5*p + 21 + 3. Suppose -4*t = -5*t - z, -4*r - 4*t = -1044. Suppose -w = 4*w - r. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = r**2 - r + 5. Let s be b(-3). Suppose 0 = -o - u - 2, -o + 0*u - 4*u - s = 0. Suppose 2*t + 5*a = 37, -a = -2*t + o*a + 46. Does 21 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 205528234?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -1877\/3  (b) 21  (c) -0.38  (d) -4  (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 414494239 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*w - 2*p = w + 16, 4*p - 8 = 0. Let i = 4 + w. Suppose i = o + 4*o - 30. What is the greatest common divisor of o and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2241975519?\nAnswer: 3, 7, 3163, 11251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from {w: 10, j: 10}.\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 53556, 53560, 53562, 53562, 53560?\n\"Answer: -k**2 + 7*k + 53550","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h - 134 - 58 = 0. Which is smaller: 65 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -10010 (base 3) in base 11?\nAnswer: -77","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 3 - 2 - (0 + 5 + 1)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -48*o**4*x - o*x**2 + 3*x**2 + 3 wrt o?\nAnswer: -192*o**3*x - x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 409561 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 divided by -7565886?\nAnswer: -1\/7565886","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 87 - 82. Suppose 45 - p = 10*s. Solve 0 = 10*o - s - 16 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1071405 to the power of 1\/3, to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -39\/10100 and 17\/92516.\nAnswer: 2312900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence uufu when four letters picked without replacement from {f: 2, m: 1, x: 1, u: 3}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 488791 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i - d - 33 = 7, 3*i - 2*d + 100 = 0. Let k = i - -71. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 617917159 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*j - 2*n = j + 159, 3*n - 42 = j. Let s = j + 349. Let o = s - 145. List the prime factors of o.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 64881067 to the power of 1\/3, to the nearest integer?\nAnswer: 402","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -656*0.5\nAnswer: -328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is nine tenths of a century in months?\nAnswer: 1080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 34960*1.\nAnswer: 34960","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6187*g = -3*m + 6095*g - 2499, -4*m - g - 47 = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w + 16 = t - 3*t, -w - 24 = 3*t. Let k be (-6)\/24 - 10\/t. Solve -k = -z + 2 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -v + 2*q = 3*v - 22, v = -3*q + 2 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -3 - -3. Let o = 34 - 68. Let r be (-2)\/o*-1*2. Which is bigger: r or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 829\/15 + -308\/5. Let g = x + 6. Let v = 42 + -38. What is the second smallest value in g, 0, v?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*u - 12 = 0, 5*d + 4*u - 2*u - 7 = 0. Suppose d*p - 6*p = -573. Calculate the remainder when p is divided by 48.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = 2*v + 6. Let b be 54 - -3*(-8)\/(-6). Suppose 3*l = 5*t + b, 0*l - 4*l + 39 = t. List the prime factors of c(l).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 6, -5, -4.\nAnswer: -5, -4, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth biggest value in 5, 0.9, 19, -0.1, -0.2, 855?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = 7 - g**3 - 5*g**2 - 2*g + 0*g**3 - 4. Is 19 a factor of b(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -9858000 rounded to the nearest 100000?\nAnswer: -9900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -140*y**4 - 1634776*y**3 - 4776369132*y**2 - 23704758176*y + 681177920 = 0 for y.\nAnswer: -5836, -5, 1\/35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 4352?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = 8*o**2 - 8*o + 4. Is y(-9) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 8*c**3*l*z**2 + 3*c**3*l*z - 344*c**3*l - c**3*z**2 wrt z.\nAnswer: 16*c**3*l - 2*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 67a0249 (base 11) to base 13.\nAnswer: 260a064","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 173 minutes after 3:11 AM?\nAnswer: 6:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 39510*c + 5*l = 39505*c - 10, -4*c = l - 7 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 6.458 and 30?\nAnswer: 23.542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*2*sqrt(2112) - 2*-2*sqrt(2112))\/((sqrt(243)\/(sqrt(27)\/sqrt(3)))\/(sqrt(9) - (sqrt(9) + (2*sqrt(36) + sqrt(36))\/sqrt(4)))).\nAnswer: 192*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -780 + 782. Solve 4*r - n*r = -6 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 17.87 and 1?\nAnswer: 16.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = -226929*r - 1134670. Calculate y(-5).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (86 - (-2 + 7)) + 5.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 4905\/11 + -48935\/44. Let l = -670 - i. Calculate the common denominator of -4\/9 and l.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 3 - -66345?\nAnswer: 66351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Total of 27439152.71 and -0.023.\nAnswer: 27439152.687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 10\/(10 + 7 + -19). What is the closest to 4 in 8, 2, s?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 16, 37, 68, 109?\nAnswer: 160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 1097147 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 6 + (190\/50)\/((-2)\/(-8)). Which is smaller: 20 or r?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -10 - -10. Let u = -3 + 2. Let t(q) = -q**3 - q**2 + q. Let r be t(u). Is r at least as big as g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) be the third derivative of h**6\/720 + h**5\/60 - h**4\/2 + 9*h**2. Let m(o) be the second derivative of i(o). Let g be m(1). Solve 0 = q - 4*q + g for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*p**2 + 48 + 9967*p - 18 - 9966*p - 30.\nAnswer: -2*p**2 + p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((s*s**(-2\/17)*s)\/(s\/s**(-2\/5)))\/(s**(-1\/2)*s)**5)**34 assuming s is positive.\nAnswer: s**(-343\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 69450 and 300?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 30564 and 3186?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = -2*g**2. Let f be (-9)\/(-6)*8\/6. Let b(s) = -2*s - 4 - f + 6. Calculate b(j(v)).\nAnswer: 4*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -132588 divided by 11049\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 61959 and 49017?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*h - 16 = -2*w, -5*h - w - 22 = -45. Suppose 0 = 3*q - 4*g - 15 + 5, 0 = 4*q + 3*g - 5. Solve -i = -q*i - h for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 0 + -3b470e?\nAnswer: -3b470e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i*(i\/(i**(-4\/3)*i))\/i*(i\/(i*i**13))\/i)\/(i**(-1))**(4\/13) assuming i is positive.\nAnswer: i**(-482\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 13 + -7. Let x(i) = -i + 6. Let s be x(14). What is the units digit of m\/(-2) - (s + -3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(200) - -2*sqrt(200))\/(sqrt(44)\/sqrt(99)).\nAnswer: 45*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (32\/(-6) + 5)\/((-2)\/12). Suppose -51 = -b + 2*c + 3, 0 = 4*b - q*c - 222. Is 14 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -6252, -6242, -6226, -6204, -6176?\n\"Answer: 3*n**2 + n - 6256","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 1838080 a multiple of 110?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*(0 + (-4*2*sqrt(1100))**2) - (-1*sqrt(132)*3)\/(-2*sqrt(768)).\nAnswer: -70400 - 3*sqrt(11)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = -5*h - 2. Let z(i) = 2*i + 3. Let y(g) = 2*c(g) + 3*z(g). Give y(8).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -1  (b) 5  (c) -1\/33  (d) -10239\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"}
{"text":"Question: 66 * -0.5\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s + 0*j + j = 0, -3*j + 10 = -s. Suppose 0 = s*v - v - 4*v. Suppose 924 = -v*l + 21*l. Is l a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine s so that -62*s**5 - 2956*s**4 + 1064*s**3 + 4972*s**2 - 1002*s - 2016 = 0.\nAnswer: -48, -1, -21\/31, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = -2*c**3 + c**2 + 3*c + 2. What is the remainder when 4 is divided by u(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (1 - -4)\/(4\/(-2 - -174)). Suppose i + 9 = 4*t. Calculate the greatest common divisor of 7 and t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 50750511?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 t when four letters picked without replacement from {l: 5, t: 5}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*i = -i - 15. Suppose -i*s + 0 = -h - 6, s - 5*h = 2. Suppose s*w = -2*w + 296. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 67405.7 to the nearest 10000.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find r, given that -r**2\/4 + 4953*r - 3482465 = 0.\nAnswer: 730, 19082","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (-3671)\/((-3 - (-8 - -3))\/(-20)).\nAnswer: 2, 5, 3671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many days are there in 601916.31 minutes?\nAnswer: 417.9974375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = -6*u + 1. Let m(i) = -7*i + 2. Let n(r) = -2*m(r) + 3*t(r). What is the lowest common multiple of 1 and n(-3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 2848362 and 418.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -2690507, 2\/7, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.009 in 6, 4, -3, -3\/5, -0.112?\nAnswer: -0.112","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4 + (((sqrt(91) - 1*sqrt(91))*-3)\/((sqrt(63) + sqrt(7))*-6) + 3)*1)**2*3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify x*x**(-25)*x*x*x**(-13\/3) assuming x is positive.\nAnswer: x**(-79\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = -2*x**3 - 5*x + 6. Let u(r) = r**3 + 4*r - 4. What is -2*p(w) - 3*u(w)?\nAnswer: w**3 - 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -43\/786 and 52\/9.\nAnswer: 2358","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.3, 2, 113, -0.5, -0.3 in decreasing order.\nAnswer: 113, 2, 0.3, -0.3, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 19 divided by 3796?\nAnswer: 19\/3796","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 125419 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 2189, 4698, 7207, 9716, 12225?\n\"Answer: 2509*z - 320","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j*(j*j**10)\/j)\/j*j**5 assuming j is positive.\nAnswer: j**15","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 49\/5 of a gram?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 3170987 + -3170978.000116. Let v = -9 + d. Round v to 5 decimal places.\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 40 divide 49750?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 41177 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 337456295*f**3 + 398981*f**2 - 3*f wrt f?\nAnswer: 2024737770","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -198, -403, -608, -813, -1018?\n\"Answer: -205*u + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 135295 and 1216?\nAnswer: 134079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from tjjtjljltj. What is prob of picking 1 t and 1 j?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (0\/(-2) - 2)\/2. What is the closest to -5 in t, -0.3, 0?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q = -x + 36, 45*x = 3*q + 44*x - 24. Let w(v) = -v + 23. What is w(q)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -156 - -156.1. Let f = 14.83 - -0.17. Let o = f - 15.4. Put s, -0.1, o in decreasing order.\nAnswer: s, -0.1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = 3*u + 52. Let x be h(-18). Let b = -0.03 + 3.03. Sort x, -1\/3, b in descending order.\nAnswer: b, -1\/3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 divided by -554796?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 3, 0.13, 0.12, -16?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 at most 2\/6493?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 291 minutes before 4:39 PM?\nAnswer: 11:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = 6*u**2 + 3*u - 118. Is 25 a factor of w(12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8631569 less than 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.800613 centimeters to kilometers.\nAnswer: 0.00000800613","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-54)\/72)\/(24\/112)?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -38.2 + 21.5. Let b = -25.46 - t. What is b rounded to 1 dp?\nAnswer: -8.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/7?  (a) -2\/3  (b) 6  (c) -0.01295\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 3, 0.4, 129182\/91, 4?\nAnswer: 129182\/91","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -53\/1673 and -49\/2390.\nAnswer: 16730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -7 (base 12) in base 11?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u - 185 = -3*u. Let f = u - 22. Factor -3 + f*j + 11*j**2 + 6*j**2 + 1.\nAnswer: (j + 1)*(17*j - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 159  (b) 4  (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = -3608*h - 2. Let g(m) = -14*m. What is s(g(j))?\nAnswer: 50512*j - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -6  (b) 558\/144059  (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -17 + 15. Put -4, s, -3 in descending order.\nAnswer: s, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -45488 + -509156549?\nAnswer: -509202037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -76 + -24 + 86 + (-2 - -48)\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 319973 to the power of 1\/3, to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 670 and 53747735.\nAnswer: 335","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -5.122 + 1.122. Let x be 21\/(-28) - 6\/(-16). Put 0.02, x, 4, m in ascending order.\nAnswer: m, x, 0.02, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 67176 divided by 4?\nAnswer: 16794","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u = 3*u - 6. Solve -20 = 5*s + 4*l, s = -s - u*l - 15 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -588 + 695. Which is the third smallest value?  (a) 2  (b) 0.5  (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 65893939 is divided by 586.\nAnswer: 583","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 126 and 24.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Determine g, given that 2*g**3\/9 + 554*g**2\/9 + 5110*g + 133182 = 0.\nAnswer: -151, -63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = -r + 9. Let l be v(7). Let q be l\/4*(-30)\/3. Let d(p) = -p**3 + p**2 - p. Let b(g) = -3*g**3 + 5*g**2 - 6*g - 2. Determine q*d(y) + b(y).\nAnswer: 2*y**3 - y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 290603.\nAnswer: 71, 4093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 divided by 7314?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 7\/8 of a gram?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 24345 and 63.\nAnswer: 170415","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.2?  (a) -0.3  (b) 4\/9  (c) 0.5  (d) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v + 6*v = 32. What is the highest common divisor of v and 212?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -21, -26, -35, -48, -65?\n\"Answer: -2*s**2 + s - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -42\/990565 and -37\/35.\nAnswer: 6933955","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 44293 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = -6*m**2 - 573*m - 2. Let l(f) = 11*f**2 + 1081*f + 4. Determine -4*l(z) - 7*o(z).\nAnswer: -2*z**2 - 313*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Express 0*j - 21*j**2 - 3*j**4 + 20*j**2 + 4*j**4 + 2*j + 2*j**3 in the form m*j**4 + b*j**3 + x*j + u*j**2 + a and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 2\/3  (b) 0.2  (c) 0.4  (d) -1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 72 divided by -5?\nAnswer: -72\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 25853 to the power of 1\/3, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 17, 15, 13, 11, 9?\n\"Answer: -2*n + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 divided by 2188068.\nAnswer: 1\/2188068","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"}
{"text":"Question: What is 0.062367 times 2.7?\nAnswer: 0.1683909","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 98344982287 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -959 - -962. Solve l = -5*h + 5*l - 41, 2*h - w*l + 22 = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = -u**2 - 3*u + 5. Calculate w(3).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 19 a factor of 3666212?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((k\/(k**(2\/7)\/k))\/k*k)\/(k*k*k\/(k*k*k**(2\/15))*k))**42*((k*k*k\/(k\/(k**(7\/2)\/k))*k*k)\/(k*k*k**(-1)*k))**22 assuming k is positive.\nAnswer: k**(463\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -73.88 - -72. Let u = q + -0.12. Let a(i) = i**2 - 23*i + 42. Let m be a(2). Put u, m, 4\/3 in descending order.\nAnswer: 4\/3, m, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 118 (base 9) to base 12.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20 - 5 = -3*z. Suppose -9*n = 32 + 58. Let m = z - n. Solve -10 = -m*b + 10 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = y**2 + 9*y - 41. Let q(c) = -5*c + 20. Let f(v) = 4*a(v) + 9*q(v). Does 2 divide f(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 3474780 to the nearest one hundred thousand.\nAnswer: 3500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -10 - -15. Suppose 0 = 2*j + 2*j - c + 12, 0 = -d*j - 2*c - 15. Let k(h) = 2*h**2 - 12. Let q be k(j). Solve 0 = -q*i + 2*i + 8 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 2.526 - 1.626. Is 2\/323 less than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1477*r + 15205*r + 775*r.\nAnswer: 17457*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -600 - 1?\nAnswer: -601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 13494 + -13256. What is the remainder when k is divided by 64?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = j**3 + 9*j**2 + j - 40. Let o(g) = -4*g**2 + 84*g - 88. Let x be o(20). Let f be w(x). Solve -5*i + f = -4*n, 0 - 8 = 2*n + 4*i for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = q**3 + 2*q**2 - 3*q + 3. Let o be a(-3). Suppose 0 = b - 6 + o. Suppose 3*g = -4*i + 6, -i + 4*g = -14 + b. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 175 and 945?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -7770502 rounded to the nearest 1000?\nAnswer: -7771000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = -l**2 - 3. Let m(u) be the second derivative of -5*u**4\/6 + 2*u + 88. Give v(m(t)).\nAnswer: -100*t**4 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 229 + -217. Suppose 0 = 4*y - 2*z + 4*z - 36, z = y - a. What is the remainder when 177 is divided by y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2513 = 217*z - 224*z. What is the hundreds digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.084 and -458?\nAnswer: -38.472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 300 minutes after 1:12 AM?\nAnswer: 6:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -o**3*w + 2*o**3*z + 29*o**3 - 44*o**2*w*z + 4*o*w - 5*w*z + 2*z - 2 wrt w?\nAnswer: -o**3 - 44*o**2*z + 4*o - 5*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 21, 190, 659, 1578, 3097, 5366?\nAnswer: 8535","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1531460 - 6*l + 6*l - 2*l.\nAnswer: -2*l + 1531460","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 171\/27 + 4\/(-12). Let i(r) = -82*r - 6. Let x(k) = -247*k - 19. Give q*x(c) - 19*i(c).\nAnswer: 76*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 3.9 - 4.1. What is the closest to r in -2, 3, -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = -4*r**3 - 6*r**2 + 2*r + 2. Let y(t) = 3*t**3 + 5*t**2 - t - 1. Let s(d) = -2*f(d) - 3*y(d). Give s(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 2\/23, -135.8, 1012, -0.1?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 324\/135*(3 - (-6 - -24)).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 3*c**3*j**2 + 75*c**3*j + 498*c**3 + 2*c**2 + 3*j**2 + 1 wrt j.\nAnswer: 6*c**3*j + 75*c**3 + 6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r + r = 5*w - 15, -2*r + 5*w + 5 = 0. Let o be 8\/(-10)*25\/r. Let q = o + 1. Sort 2, q, -2 in ascending order.\nAnswer: -2, 2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.4 - -0.4. Let z = s - 0.0003. What is z rounded to 4 decimal places?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 170 and 765?\nAnswer: 1530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) 2\/11  (b) -1\/2  (c) 14  (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*q + 11*q - 15 = 0. Suppose 0 = -2*z - 3*k + k + 64, -164 = -4*z + q*k. What are the prime factors of z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -3040, -1, -63 in descending order.\nAnswer: -1, -63, -3040","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = 12*i - 6*i - 8*i. Let j(w) be the third derivative of w**5\/60 - w**2. Give j(p(f)).\nAnswer: 4*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h**(-1))**5\/(h**(4\/5)\/(h*h**11)))**21 assuming h is positive.\nAnswer: h**(651\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xew when three letters picked without replacement from xoxxwxzxxxexxxxxzseo?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*i - 48 = 4*i. Let q be 5\/(45\/i)*3\/8. Factor 9\/4*u - 3*u**2 + 5\/4*u**3 - q.\nAnswer: (u - 1)**2*(5*u - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 13*m**2 + 223*m - 451*m + 228*m.\nAnswer: 13*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (2\/4)\/(2\/16). Suppose 3 = a + 2, 2*w + 9 = -3*a. Let v be (-2)\/w*-13*(-39)\/169. Solve -v = c*m + 7 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 74*z - 10 = 69*z. Find the second derivative of -2 + 31*v + 0 + z + 0 - 21*v**3 wrt v.\nAnswer: -126*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -54256 divided by 171.\nAnswer: -54256\/171","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*x - p - 94, -5*p = -0*x + 3*x - 34. Suppose -273*g = -267*g + 6. Let r(l) = 4*l**2 - l. What is the remainder when x is divided by r(g)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:54 AM and 4:33 AM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d + 6 = d. Sort -7, d, -2 in descending order.\nAnswer: d, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 15670 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = g**2 + 6*g + 8. Let p be z(-5). Let w be p*-6*2\/(-9)*1. Suppose 5*u = 4*d + w*u - 92, -u - 4 = 0. Solve -8 = v + 5*b + 13, 2*b + d = 3*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 20955 and 4763715.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 961814 divided by 2987.\nAnswer: 322","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -1.58 * -0.05\nAnswer: 0.079","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -80 - -135. Suppose 3*q = z + 29. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*a + 2*q - 17 = 0, 3 - 4 = -a + 4*q. Suppose a*c - 32 = x, 0 = c - 0 - 2. What is the units digit of x\/(-6) + (-7)\/(-42)*2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*i = -2*s + 2, 6 = 4*s + i + 2. Let p = -3.2 + 5. Let r = p + -1.8. Which is the third smallest value?  (a) -1\/2  (b) r  (c) -0.03  (d) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6764150?\nAnswer: 2, 5, 135283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify o\/(o*o**(1\/18))*o**26\/o*(o**5\/o*o)**(-2\/61) assuming o is positive.\nAnswer: o**(27209\/1098)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -30 (base 5) in base 15?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 b when three letters picked without replacement from bbasbsbab?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -1.038 + 0.038. What is the nearest to i in 1, 0.3, -4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4.33074 rounded to 1 dp?\nAnswer: 4.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 22*k**6 + 10*k**5 - 2*k**4 + 593*k**2 - 5 wrt k?\nAnswer: 2640*k**3 + 600*k**2 - 48*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 - (-1 + 3 + 2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*(3 + 0 + (sqrt(448) + 1 - sqrt(448)) + 0)*-4)**2.\nAnswer: 6400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 612 * -47.1205\nAnswer: -28837.746","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*n**2 - 2*n**2 - n**2)*(-7*n**2 + 3*n**2 + n**2) + ((3*n**2 - n**2 + 0*n**2)*(0 + 0 - n) - 27*n**3 + 4 - 4)*(-15*n - 7*n + 6*n).\nAnswer: 461*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = q**3 + 6*q**2 + q + 4. Let k be (-2)\/(-1 - 4\/(-3)). Let c be m(k). Let b = 11 + c. List the prime factors of b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 408*j**2*n**3 + 320*j**2*n**2 - 2*j**2 - 12941*j*n**3 - 2*j + 8*n**3 - 32*n + 133 wrt n?\nAnswer: 2448*j**2 - 77646*j + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) be the first derivative of 23*y**5\/60 + 23*y**4\/3 + 26*y**3\/3 - y + 85. Let r(g) be the third derivative of t(g). What is the derivative of r(c) wrt c?\nAnswer: 46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3092 - 13200 = 722*f for f.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is -1828 at least as big as -32?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.051511ml in litres?\nAnswer: 0.002051511","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Do 549 and 977282 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 17*n - 145 = 14*n - 29*w, -5*n - 2*w + 25 = 3*w for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*b + b = 0. Suppose 0 = -b*f - 4*f - 4. Is -2\/11 less than or equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -57, -22, 213, 738, 1643?\n\"Answer: 15*b**3 + 10*b**2 - 100*b + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*f - 5 + 15. Let m be (-6 - 4)\/f*-1. Suppose -102 = -8*q + m*q. Solve w + 5*x + q = 4*w, 5*w - 5*x = 40 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 1778, 2, 1, -20, -5, -4 in descending order.\nAnswer: 1778, 2, 1, 0, -4, -5, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -4\/9 in -4, 3, 4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 10 - -43. What are the prime factors of 4*(b + 0\/(-3))?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 36 divided by -1415.\nAnswer: -36\/1415","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = x**3 + 5*x**2 + 65*x - 157. Calculate z(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.9, 112, 0, -997, 3 in descending order.\nAnswer: 112, 3, 0.9, 0, -997","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*((-5*sqrt(19)*1)**2 - (sqrt(19) + 3)*-2).\nAnswer: -2405 - 10*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.1 and 0.002.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 11345981 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x - x = -5*d + 16, -5 = -d + x. What is the second derivative of 28*c**2 - 49*c**d + 2*c + 24*c**2 wrt c?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -1382486 and -5.\nAnswer: 6912430","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 4 - 4.02. Let x = v - 0.38. What is the third smallest value in -2\/7, 1, x?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1849*1003\nAnswer: -1854547","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify h**(5\/4)\/h*h\/(h\/h**(-2\/3))*((h*h**(-1))\/h*h)**(-17)*((h**5\/h)\/h**(-5))**36 assuming h is positive.\nAnswer: h**(3883\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -16 + -11. Let s be l\/9 + 1\/((-3)\/(-666)). Suppose 0 = 11*i + 21 - s. Calculate the highest common divisor of 9 and i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 581 - 11?\nAnswer: 570","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*p**2 - 2*p**3 - 4*p**2 + (-3 + 3 - 4*p**2)*(2*p - 5*p + 8*p))*(3*p - 2*p - 3*p).\nAnswer: 44*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 8962 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 18 + -1 + -1 + -33 + (1347 - 1334).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*n - 25 + 11 = -3*c, 3*c + 14 = 2*n for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Does 975 divide 1348214330?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Work out 11408 + 0.0543453.\nAnswer: 11408.0543453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = -350*t**2 - 55*t. Suppose 21*p = 17*p - 8. Let m(c) = 13*c**2 + 2*c. Determine p*k(w) - 55*m(w).\nAnswer: -15*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 30\/119, 5, -4\/5, -1, 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 1267184 divided by -10924\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 296 minutes after 12:17 AM?\nAnswer: 5:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 8*j**3*w**3 - 565*j**3 - j*w**3 + 8*j*w**2 - 16*j*w - 1 wrt j.\nAnswer: 48*j*w**3 - 3390*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 39 minutes before 11:40 PM?\nAnswer: 11:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = -i - 10. Let m be (21\/i)\/(6\/16). Put 2, m, -5 in ascending order.\nAnswer: -5, m, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -44*g + 130*g + 47*g.\nAnswer: 133*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -25, -32, -31, -16, 19, 80?\n\"Answer: g**3 - 2*g**2 - 8*g - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 3265589144 a multiple of 85?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -49 + 50. Let l(j) = -m - 13 + 1 + 6*j. What is the tens digit of l(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -248 = -115*x + 1247 for x.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Round 2152461100 to the nearest one million.\nAnswer: 2152000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-558 + 570)*21\/(-12).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -27 - -32. Suppose q*r - 508 = -3*t, -2*t - 2*t = -2*r + 224. List the prime factors of r.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -772934 + -0.105?\nAnswer: -772934.105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xlll when four letters picked without replacement from xlexeellleeexlell?\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"}
{"text":"Question: Simplify b**(-6)\/b**2*b**(-4\/3)*((((b*b**2)\/b*b)\/b*b)\/b)\/b*b*(b**(-1)*((b**(-3\/5)*b)\/b)\/b)**(-20\/3) assuming b is positive.\nAnswer: b**10","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1308 = 74*g + 1315 - 2401 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = -o**3 - 5*o**2 - 4*o - 3. Suppose 60*y = 54*y - 30. Calculate u(y).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*(-4*((sqrt(165)*3 + sqrt(165) - sqrt(165))\/sqrt(11))\/(sqrt(10)\/sqrt(200)))**2.\nAnswer: -259200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is (60\/(-14))\/1 - (-20)\/5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1658 divided by 1?\nAnswer: -1658","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g - 18 = 12. Let t(j) = -2 + 3 - g*j**2 + 19*j**2 - j. Let r(m) = -m**2 + m. Let b(x) = 3*r(x) + t(x). Calculate b(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 26\/10 + (-24 - (-1098)\/45). Let v = 3 - 0. Solve m*l + l + 16 = -2*a, -v*l - 2 = -a for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -6708 - -6831. Solve -z = -4*f - 151 for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -372 - -713\/2. Let s = -7883\/5 - -284383\/180. Find the common denominator of s and b.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18 = -6*d + 12. Put -1, d, 0 in decreasing order.\nAnswer: d, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 117 + -388. Let x = i - -270.9791. What is x rounded to 3 decimal places?\nAnswer: -0.021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 492 and 18?\nAnswer: 1476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.3, 87, -272 in ascending order.\nAnswer: -272, 0.3, 87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let -3*i**3 + 10269*i**2 + 1700640*i + 68793600 = 0. Calculate i.\nAnswer: -80, 3583","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -1010100101101 (base 2) in base 10?\nAnswer: -5421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert -138813 (base 11) to base 15.\nAnswer: -442a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*h - r + 103 = 0, -30*h - 12019760 = 4*r - 12019122 for h.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -18, -23, -14, 15, 70, 157, 282?\n\"Answer: j**3 + j**2 - 15*j - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 97, 185, 263, 331, 389, 437, 475?\n\"Answer: -5*s**2 + 103*s - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 23 - 27. Sort -0.5, c, 4, 2 in increasing order.\nAnswer: c, -0.5, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9860652 divided by -69?\nAnswer: -142908","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 323?\nAnswer: 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Do 1 and 3085 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -63892*c**2 + 12*c + 4306 wrt c?\nAnswer: -127784","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = t**3 + 6*t**2 - t. Let z = 14 + -5. Suppose -5*l + z*l - 32 = 0. Calculate the remainder when v(-5) is divided by l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -6*y**3 - 633*y**2 - 2739*y - 1212.\nAnswer: -3*(y + 4)*(y + 101)*(2*y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((-5)\/(-20)*(8 + 0))\/(-1). What is the common denominator of 16\/40 + (-1465)\/1050*w and -23\/84?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -1981*l**4 + 7651 - 7651 + 2 + 3*l**4 - 2 + (-2*l**2 + 2*l - 2*l)*(2*l**2 + 3*l**2 - 4*l**2) + 4*l - 2*l**4 - 4*l - l**4 + 1 - 1.\nAnswer: -1983*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = t**2 - 6*t - 7. Let z be j(7). Let g(i) be the second derivative of 0*i**3 + z + 0*i**2 - 1\/4*i**4 - i. Let f(r) = -3*r**2. Calculate f(g(s)).\nAnswer: -27*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-90)\/12)\/(2\/4). Let u = 56 - 61. What is the units digit of 120\/9*n\/u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) be the third derivative of m**5\/60 - m**4\/8 - 7*m**3\/3 + 815*m**2. What is d(5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 3, -1006, 9, -14, 0.08 in decreasing order.\nAnswer: 9, 3, 0.08, -1, -14, -1006","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (12\/2)\/(10 + -8). Suppose 2*f = -5*p + j*f + 171, -p + 4*f = -38. What is the tens digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -17 in -3, 5, 3\/20?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = -83*o - 6. Let z be y(-2). Suppose 5*t = 0, 4*t - 5*t + z = 4*d. Suppose -14*h + d = -6*h. Solve -3*r = -4*w - 7, -3*w + 8*w = -h for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*s - 0*l - 3*l + 662, l = -1. What are the prime factors of s?\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -u**5 - 272*u**4 - 21240*u**3 - 372650*u**2 - 1834375*u - 2343750 = 0.\nAnswer: -125, -15, -5, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 at least -5\/14317868?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -32093, -32048, -32003, -31958, -31913?\nAnswer: -31868","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1538*n - 384*n - 392*n - 364*n - 372*n.\nAnswer: 26*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*b - 6*f + 34 = 32, 5*f = -b + 11 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = q**2 - 18*q. Let x(j) = 2*j. What is f(x(w))?\nAnswer: 4*w**2 - 36*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 7.517557nm in micrometers?\nAnswer: 0.007517557","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -1826, -1820, -1814, -1808?\n\"Answer: 6*d - 1832","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 214703216*u**2 - 167917707*u.\nAnswer: 429406432","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -17372671 or -17372658?\nAnswer: -17372658","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = -35*q + 2 + 0*q + 26*q + 1. Let c be f(0). Solve 0 = 5*y + c + 7 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = -s**3 - 96*s**2 + 237*s - 36. List the prime factors of z(-100).\nAnswer: 2, 19, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3 - 3 - 2)*(-35 + 22335*a + 35 - 2046*a) to the form c + d*a and give d.\nAnswer: -40578","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 0.4*-1323574\nAnswer: -529429.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u*u**(-6)\/u*u**(-5))\/(u**(-1\/3)\/u)**(-47) assuming u is positive.\nAnswer: u**(-221\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 30*f*g*s**3 - 2*f*g*s - 8*f*g - 2841*f*s + 2*g*s**2 + 3*g + 1573*s**3 wrt s.\nAnswer: 180*f*g*s + 4*g + 9438*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 6 (base 14) to base 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-8)\/(-14))\/(-3*20\/(-42))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = -l**2. Let a(t) be the third derivative of 11*t**5\/60 + 12*t**2. Calculate b(a(w)).\nAnswer: -121*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 2640 a multiple of 59?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = -m**2 - 2*m. Let i be h(-2). Suppose 2*g - 9 = j - i, -j - 5*g = 23. Let l(p) = p**3 + 13*p**2 - p + 10. What are the prime factors of l(j)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = 3*d**2 - 13*d + 32. Let m be -6*((-8)\/12 + 1\/3). Calculate the lowest common multiple of 168 and x(m).\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 292 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b**(-2\/49)*b)\/b**(-5\/8) assuming b is positive.\nAnswer: b**(621\/392)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-1318)\/12 + (-3)\/9*-1. Let v = -110 - q. Put -1, 0.3, v, -1\/13 in descending order.\nAnswer: 0.3, -1\/13, v, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -392, 302, 1 in increasing order.\nAnswer: -392, 1, 302","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*h + 306848 = 98336. Let m = h - 11565. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 133 a factor of 842433?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 3853 or 3822?\nAnswer: 3853","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w = -2, m + 2*m + 5*w - 2 = 0. Let h(x) be the second derivative of x + 2*x**2 + 3*x**3 + 0 + 7\/6*x**m. Factor h(p).\nAnswer: 2*(p + 1)*(7*p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 82604573 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Determine w so that -5*w**2 - 25*w + 30 = 0.\nAnswer: -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 129 + -1 + (-6 - -5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 11303 and 267.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 47 + -33. Calculate the highest common factor of 98 and y.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) be the second derivative of 7*w**4\/3 - 5*w**3\/6 - 25*w. Find the second derivative of t(d) wrt d.\nAnswer: 56","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 108327*a - 108318*a = 2*d + 69, 4*a = 5*d + 228 for d.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((p\/(p\/p**(2\/5)))\/p)\/p)\/p**5)\/(p*p**0*(p\/(p**(1\/8)\/p))\/p)*((p**(-1))**(-14))**(9\/2) assuming p is positive.\nAnswer: p**(2181\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 935243 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Factor -b**2\/5 + 167283*b\/5 + 669148\/5.\nAnswer: -(b - 167287)*(b + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2*m*r**3*u**2 - 6*m*r**2*u + 3*r**3*u - 2*r**2*u - 130*r*u**2 - 2*u wrt u?\nAnswer: -4*m*r**3 - 260*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 1\/2  (b) 343  (c) 0.23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (4\/18)\/(156\/(-54) - -3). Differentiate -29 + 17*y**2 - 6*y - 37*y**2 + 17*y**m wrt y.\nAnswer: -6*y - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = -f**3 + 80*f**2 - 3*f + 244. Let h be x(80). Solve -2*n + h*c = 14, -2*c + 25 = 5*n + 3*c for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 7072?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**(-26))**(-1\/15)\/(l**(2\/5)*l**(9\/5)) assuming l is positive.\nAnswer: l**(-7\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is z in -z**2\/4 - 429*z\/2 + 6202 = 0?\nAnswer: -886, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o - 4*z = -0*o + 998, -2*o = 4*z - 966. Is o a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = 5*b - 27. Let f be v(17). Calculate the highest common factor of f and 58.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is k in 2*k**2 - 2056*k + 2054 = 0?\nAnswer: 1, 1027","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1330031 (base 4) to base 11.\nAnswer: -5a77","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -1.2124828 to three dps.\nAnswer: -1.212","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -137\/1661 - 15\/151. What is the second biggest value in 15, -2, 3, j?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:46 AM and 2:41 PM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 344 minutes before 10:09 PM?\nAnswer: 4:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.4, 2\/11, -0.15, 1\/9.\nAnswer: -0.4, -0.15, 1\/9, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 745 and 1399265.\nAnswer: 208490485","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -127\/1628166 and 1\/1335.\nAnswer: 8140830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1\/(-7))\/((-16)\/(-96)).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = -173*p + 1060. What are the prime factors of o(5)?\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 149 + -58. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.63015 <= -58?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = -n**3 - 6*n**2 + 3*n + 6. Let b be f(-7). Let l = b - 20. Solve -6 - l = h + 3*t, 5*h + 3*t = -40 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 23 is divided by (-153)\/(-12) - (-3)\/12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = -91*h + 386. Calculate the remainder when 261 is divided by g(4).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -25*w + 15*w - 13*w - w + 0*w + 3*w + (-1 + 8 + 3)*(w + 0*w + w) to the form k*w + h and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00003159447396 rounded to seven dps?\nAnswer: 0.0000316","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 12\/((-432)\/(-60))*(-8)\/20.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-77)\/(-385))\/(4\/(-500)).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 24 + -15. Let s = 14 - o. Suppose -r + f = 3*f - 9204, 2*r + s*f - 18410 = 0. Round r to the nearest 1000.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 1 and 4\/1382533 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -3 + 12710?\nAnswer: 1270b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = x**3 + 27*x**2 + 51*x + 13. Let l be d(-24). What is the greatest common divisor of 47 and l?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5215 = -11*j - 1002. Let r = j - 377. Which is the nearest to 2\/3?  (a) -1\/10  (b) -4  (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f + w - 6*w = -457, 4*f - 452 = -4*w. Suppose -f - 168 = 4*i. What is the common denominator of 41\/10 and (i\/2 - -1)\/(-8)?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1208372.58s in days?\nAnswer: 13.98579375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express (p**2 + 7*p**2 - 2*p**2)*(-9*p - 2*p + 0*p) as v + h*p**2 + z*p + b*p**3 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort 83, 4, -3 in increasing order.\nAnswer: -3, 4, 83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -11201 - -1011?\nAnswer: -10130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 6, 736567\/12 in descending order.\nAnswer: 736567\/12, 6, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.010063796 to 3 dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (10 - 7) + 58\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i*i**(-9))\/i**(4\/5) assuming i is positive.\nAnswer: i**(-44\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is g in -52435*g**2 - 1363295*g + 390 = 0?\nAnswer: -26, 3\/10487","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -38 - -87. Let s be (-60)\/(-14) + (-14)\/w. Suppose -x - 1278 = -2*o - 16, s*x = 3*o - 1893. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -7, 1\/5, 4\/9, 0.1?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 18683, 18787, 18889, 18989, 19087, 19183?\nAnswer: 19277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence epke when four letters picked without replacement from {x: 1, p: 1, e: 4, k: 2}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*k - 5*u = -15, 2*k - 57*u = -54*u - 10 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 783961?\nAnswer: 41, 19121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify x**26\/(x**(-27)*x) assuming x is positive.\nAnswer: x**52","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -1 + -14?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = l**2 + 5*l - 7. Let c be y(-5). Let q = 3 + c. Let g = 4 + q. Solve 5 + g = o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.086 + 0.014. Let c be 6 + -6*(-1)\/(-2). Suppose k = 2*k + c. What is the smallest value in -1\/3, k, d?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-100)\/15)\/5*213\/(-2). Let w = 69 - y. Let v = -57 - w. Calculate the smallest common multiple of 20 and v.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 4.8 + 1.2. What is the nearest to h in 0.2, 4, 4\/9?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((l*(l\/l**(-2\/69))\/l)\/l**(-26))**(-2\/5))**(-7\/5))**13 assuming l is positive.\nAnswer: l**(67886\/345)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = -2*p + 4. Let w be x(1). Suppose 2*f = 8, -10 = w*h - f - 3*f. Solve h - 2*i**3 - 6*i - 88*i**2 - 1 + 94*i**2 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find i, given that -2*i**2 - 127588900*i + 127588902 = 0.\nAnswer: -63794451, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 45\/4 of a millennium in years?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 8.1 + -45.1. Let m = -25.612 - -0.312. Let w = j - m. Round w to zero decimal places.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = -11*t + 4. What is g(7)?\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = w**3 + 13*w**2 + 9*w - 35. Let f be k(-12). Let m = -176 - -221. What is the tens digit of (-30)\/m - (f + 260\/(-3))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -222 - -235. Suppose 4*z - 13 - 35 = 0. Which is greater: d or z?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -1\/2  (b) 36\/7  (c) 63  (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: (-5 - -3) + -3 - (-9 - 0)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence chbu when four letters picked without replacement from {b: 1, h: 2, c: 4, u: 7, p: 1}?\nAnswer: 1\/585","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 7 - -12?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) be the first derivative of 1\/5*u**5 + 0*u + 0*u**4 + 14*u**2 - 5 - 13\/6*u**3. Let n(w) be the second derivative of r(w). Differentiate n(v) wrt v.\nAnswer: 24*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the billions digit of 1269722070?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*p + 3*p - 2. Solve -3 = -p*a - 13 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9894107 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -57598, -460798, -1555200, -3686404, -7200010, -12441618, -19756828, -29491240?\n\"Answer: -57600*m**3 - m**2 + 3*m","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -17, -23, -25, -23, -17, -7?\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*n**4\/5 + 887682*n**3\/5 + 131301470742*n**2\/5 + 6468211363751462*n\/5 - 622159150808589888\/5.\nAnswer: 2*(n - 96)*(n + 147979)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 13 a factor of 12524759?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 234419 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 61769729 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 10212013 or 1?\nAnswer: 10212013","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0000300905 rounded to seven decimal places?\nAnswer: -0.0000301","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 1*(3\/3 + -1). Suppose -2*l + 6*l = 2*w + 36, u = -2*l - 4*w + 38. Let f = -9 + l. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u + 665754 = -10253 + 94443. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence wuu when three letters picked without replacement from {u: 8, w: 2}.\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 6731 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 8 - 29. What is the tens digit of (-1 - l\/(-15))*-5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 2\/(-3) + 10\/(-3). Let v(d) be the third derivative of -d**6\/120 - d**5\/12 - 5*d**4\/24 + d**3\/3 - 2*d**2. What is the units digit of v(b)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) be the second derivative of s**4\/12 - 7*s**3\/6 + s**2\/2 + 13*s. Determine o(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine x, given that -5*x**2 - 238380*x - 2841251220 = 0.\nAnswer: -23838","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-8)\/(10 - 6) + (-7)\/(-3). Let d = 3\/19 - -10\/57. Factor d*r**3 + 0 + 0*r**2 - x*r.\nAnswer: r*(r - 1)*(r + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.01 times 0.88371\nAnswer: -0.0088371","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 147 and 1078.\nAnswer: 3234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -110 = 1627*k - 1632*k, 50 = -38*c + 4*k for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Round -1.3276 to two decimal places.\nAnswer: -1.33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 32818114 to the nearest integer?\nAnswer: 5729","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 17, 1, 3, 5?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (11 + 166 + 243 + 231 - 67)*(0*a**2 - a**2 + 3*a**2) to the form b*a + j + k*a**2 and give k.\nAnswer: 1168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*i + 440 = 20*i + 19*i for i.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is -992 equal to -994?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -76 - -76.47. Let v = b - 0.4700394. Round v to 5 decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 6203 - 6203. Sort 5, -13, v, -4 in ascending order.\nAnswer: -13, -4, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 2516402051 to the nearest integer?\nAnswer: 1360","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/10 of a millennium in years?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*d - 8*d = 5*d. Suppose -2*j - 10 = 0, -3*j - 7 = 4*o - d. What is the remainder when 7 is divided by o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0.26 + 2.53. Let g = v + -2.89. Let k = -169\/1425 + 1\/75. Which is the nearest to 1\/2?  (a) -3  (b) g  (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -c = y, c - 7 = -5*y + 9 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 676 minutes before 4:24 PM?\nAnswer: 5:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence bbb when three letters picked without replacement from bbbbbbbbbb?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {h: 1, q: 8, n: 6}. What is prob of picking 1 n and 1 h?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.21 - 10.21. Let w = 8 + m. What is the third biggest value in -3, w, 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 27042 to the nearest 1000.\nAnswer: 27000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2 + 6 - 2)*(-4*u + u + 2*u)*(5 - 3 - 1)*(19*u**2 - 17*u**2 - 54*u**2) to the form i*u**2 + o + n*u + y*u**3 and give y.\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b**2\/2 + 30305*b\/2 - 38457582 = 0. What is b?\nAnswer: 2796, 27509","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s*s**(3\/2))\/(s*s*s**3) assuming s is positive.\nAnswer: s**(-5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 + 0 = -2*i. Let j = 0 + -0.5. Which is the closest to i?  (a) -0.2  (b) j  (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 14 divide 114510088?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 231231302 + -30133?\nAnswer: 231201103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -21.3 - -2.3. Let b = -0.15 + 21.15. Let l = q + b. What is the closest to -1 in l, -1\/4, 4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 3.22 + -2.8. Round t to 1 dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -61726, -61716, -61706, -61696, -61686?\n\"Answer: 10*q - 61736","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 29, 29, 39, 65, 113, 189?\n\"Answer: s**3 - s**2 - 4*s + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-6)\/(-21) - 204\/28. Let u = 14 + l. Is u greater than 8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = g**3 - 3*g**2 - 9. Let a = -5 - -9. Let s be d(a). Suppose -5*z + 28488 = s*w - 3*w, -3 = w. What is z rounded to the nearest 1000?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 64 (base 14) in base 11?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 2, 3.\nAnswer: 2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 606994 is divided by 302.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 14273 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 63\/(-35) - 1\/5. Let q(o) = -4*o**2 + 4*o. Let t(w) = -4*w**2 + 5*w. Let x(l) = 4*q(l) - 3*t(l). Let u be x(1). Which is smaller: d or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 122651 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from {s: 2, q: 3, c: 7, a: 3, b: 4}?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 175 - 175. Solve m = 5*g - 13*g - 24 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -29676 or -29671?\nAnswer: -29671","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*u = 4*z + 69, 2*z = -2 - 0. Sort u, -2, 4 in ascending order.\nAnswer: u, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = p**2 + 17*p - 13. Let r be b(-18). Suppose -4*z = -8*z. Let k = -0.3 + -0.1. What is the third smallest value in k, z, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*l + 14 = -0. Which is bigger: l or -3\/7?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1012101 (base 5) to base 12\nAnswer: 9692","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2025569219?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = -p - 8. Let j be z(-5). Let l = 5 + j. Let v be (8\/6)\/(20\/30). Solve r = l + v for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 b when three letters picked without replacement from bbbnbnnnbnnnnbnnbbnb.\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -3 + 34414113?\nAnswer: 34414110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = -o**3 - 10*o**2 + 97*o - 105. Determine n(-12).\nAnswer: -981","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:26 PM and 4:37 PM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x*x*(x*x\/(x*x**(-12)))\/x)\/((x*x*x\/(x*x**(11\/5))*x)\/x) assuming x is positive.\nAnswer: x**(71\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -41528 (base 9) in base 15?\nAnswer: -81be","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 2784140 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -15?  (a) 73  (b) -1\/5  (c) -1289\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -1197344*x**3 + 34*x - 2918.\nAnswer: -7184064*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = 4255*d. Let z(u) = -27*u + 2. Calculate z(g(b)).\nAnswer: -114885*b + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 2\/5 greater than -3\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 307206 to the power of 1\/3, to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.3, -357, -0.34, 2\/13, -2\/29 in descending order.\nAnswer: 0.3, 2\/13, -2\/29, -0.34, -357","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1294 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -4\/6027 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -192.5124 - -0.1124. What is u rounded to the nearest ten?\nAnswer: -190","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = -5*p**2 + 23*p - 3. Let q(f) = -56*f**2 + 256*f - 34. Let a(w) = 68*j(w) - 6*q(w). Factor a(t).\nAnswer: -4*t*(t - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -0.98, -2, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 6963 - 6962. Which is the fourth biggest value?  (a) u  (b) 146  (c) 4  (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z - 19 = -7, 0 = 2*x + 4*z + 26. Suppose -3*s + 8*s - 75 = -5*m, 4*s = -3*m + 41. Let c = x + m. Solve 4*t - 1 = -5*q + c, -2*q = t - 7 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = -z**3 + 9*z**2 + 23*z + 13. Let j be r(11). Suppose -4*p = 5*a - 34029, -j*a = 5*p - 23*a - 42510. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 0.4388434801 from 0.\nAnswer: -0.4388434801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -9*r + 7 - 7*r + 2*r - 2*r**4 + 12*r - 9*r**3 wrt r.\nAnswer: -24*r**2 - 54*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-20)\/((17\/((-17)\/2))\/(-1))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -40 + 42. Solve 10 = f*n + 2 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3900067 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-3 + 1)*(-15)\/(-2). Let t = y + 12. Put t, 1, 1\/5 in ascending order.\nAnswer: t, 1\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 208 divided by 61?\nAnswer: 208\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round -575657.268 to the nearest 100000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5165.\nAnswer: 5, 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -17341275 divided by 6?\nAnswer: -5780425\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Divide 450 by -5.\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**(-1\/5))**30\/(((y*(y*y**8\/y)\/y)\/y*y)\/(y\/(y\/(y\/y**(6\/7)))*y)) assuming y is positive.\nAnswer: y**(-90\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*d + 2*u = 14, 0 = 5*d - 25*u + 36 + 139 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 62.72658mg?\nAnswer: 0.06272658","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Determine n, given that -9*n**5\/4 + 3*n**4\/4 + 51*n**3\/4 + 57*n**2\/4 + 9*n\/2 = 0.\nAnswer: -1, -2\/3, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 10101100001011 (base 2) in base 16?\nAnswer: 2b0b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 21 - 2 - -3 - 2. Suppose 7*a - 3*a = b. Let y be (2\/4)\/(1\/(-8)). Put -3, a, y in decreasing order.\nAnswer: a, -3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1*(-25)\/15*(-4)\/70?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of j**4*u**2 - 2*j**3*u**3 - 102*j**2 - 2*u**3 wrt j.\nAnswer: 24*j*u**2 - 12*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 152  (b) 2  (c) -0.2  (d) 4  (e) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.4, -1\/71, -4 in decreasing order.\nAnswer: 0.4, -1\/71, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {r: 2, y: 1, s: 2, c: 3, k: 3, q: 1}. Give prob of sequence qc.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -43246200, -43246208, -43246218, -43246230, -43246244?\nAnswer: -43246260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0 - 6 + h - 1 + 8 - 2*h**3 - 3*h**4 to s*h**3 + f*h + z*h**2 + n*h**4 + d and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -10 + 22 + -5 + -5 + 10.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 65597 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 24 + -23. Let p = 0.68 + -0.08. Let c = p - q. Sort -2, c, 0.2.\nAnswer: -2, c, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) be the third derivative of -67*m**2 + 0 + 0*m**7 + 0*m**3 + 0*m**4 + 0*m**6 + 1\/6*m**8 + 0*m - 13\/10*m**5. What is the third derivative of a(j) wrt j?\nAnswer: 3360*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find z such that -z**3\/10 - 29*z**2\/5 - 11*z\/2 + 57\/5 = 0.\nAnswer: -57, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from uuuulluuluuuuuuuuluu. What is prob of picking 3 l?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 82 a factor of 66854?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -27*c - 26 = -53 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -554*l + 3344091 = -549*l - 2*a, -2*a - 2675270 = -4*l. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -43\/1557193 and 24\/17978501.\nAnswer: 197763511","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -10 + 4?\nAnswer: -a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-s - 5*s**2 + s)*(-15*s - 13*s + 8*s) + (-s**3 - 5*s**3 + 4*s**3)*(3 - 3 - 1).\nAnswer: 102*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 188887739 is divided by 2473.\nAnswer: 2472","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a be -1 + (-9 - -11) + 4. Let u(m) be the third derivative of -1\/4*m**a - 1\/40*m**6 - m**4 - 2*m**3 - 30*m**2 + 0*m + 0. Factor u(w).\nAnswer: -3*(w + 1)*(w + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 7988 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 12.73125 - 11.331. Let s = -1.58 + 0.18. Let l = s + t. What is l rounded to 4 dps?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ujx. What is prob of sequence uxu?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = -a**2 + 2*a - 19. Determine w(0).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = 16*w**4 - 2*w**3 - 15*w + 2. Let b(h) = 16*h**4 - 3*h**3 - 16*h + 3. Let x(i) = 2*b(i) - 3*t(i). What is the second derivative of x(l) wrt l?\nAnswer: -192*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 138\/(-18) + (4 + 16\/(-6))*6?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 4001240302 + -10?\nAnswer: 4001240242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -1092, -1087, -1068, -1029, -964, -867, -732?\n\"Answer: n**3 + n**2 - 5*n - 1089","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -19*a + 22 - 3689*a**3 + 7*a - 30*a - 46*a - 11*a wrt a?\nAnswer: -22134*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j = 5*k - 12, 0 = 2*k - 3*j - j - 18. Let i(y) = y**3 - 3*y**2 + 3. Calculate the smallest common multiple of i(k) and 7.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = -b**2 + b - 1. Let w be q(1). Let a(z) = 5*z**3 - 2*z**2 + z. Let m be a(1). Put w, 0, m in ascending order.\nAnswer: w, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -86*i**3 - 5*i + 30*i**3 + 38*i**3 + 95*i + 23*i**3.\nAnswer: 5*i**3 + 90*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 1479043 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 146, 689, 1596, 2873, 4526, 6561, 8984, 11801?\n\"Answer: z**3 + 176*z**2 + 8*z - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = 15 + 376*u + 17 - 30 + 567*u. Is t(3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 6443425 by -5.\nAnswer: -1288685","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = -10*n**3 - 2*n**2 - 9*n + 10. Let w(z) = -z**3 - z - 1. Let u(v) = -o(v) + w(v). Is u(6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:23 PM and 9:39 PM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = 10 - 12 + 6*h + 4. Let i(j) = 5*j + 2. Determine -4*c(m) + 5*i(m).\nAnswer: m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 - (3 + -6) - (1 + -1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t + 20 = 45. Calculate the greatest common divisor of t and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -224651, -224650, -224649, -224648, -224647?\nAnswer: -224646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = 7*w - 104. Suppose 197*c = 709*c. Give g(c).\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*k - 12 + 2. Let s(o) = 142*o**3 + 2*o**2 - 4*o + 3. Let v be s(k). Is v\/7 - (-2)\/7 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 8\/(-6)*(-45)\/48. Let d = 33 + 127. Let q = 154 - d. What is the second biggest value in 1, q, g?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -4*z**3 + 1 + 124*z - 120*z + z**3 - 2*z**2 to the form y*z**2 + w*z**3 + h + v*z and give v.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express 10*p**2 - 117*p**2 - p - 1 - 80*p**2 + 38*p**2 in the form l + s*p**2 + j*p and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = -226*x. Let r(i) = 2*i**2 - 3. Determine h(r(c)).\nAnswer: -452*c**2 + 678","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = -r**3 + 3*r**2 - 4*r + 4. Let w be f(2). Solve -2 = -w*m - 2*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) be the first derivative of -3*t**2\/2 + 4*t - 243. Let g(y) = y**2 + 2*y - 3. Calculate -4*g(a) - 3*w(a).\nAnswer: -4*a**2 + a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand -y**2 + y**2 - y**2 - 2*y**2 + 2*y**2 + y**2 + (-5*y + 2*y + y)*(-1 - 2*y + 1) + 52*y**2 - 36*y**2 + 43*y**2.\nAnswer: 63*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 704123?\nAnswer: 7, 17, 61, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k*k*k**(-2\/7)*k*k)\/(k**(-6)*k))**(-13\/4) assuming k is positive.\nAnswer: k**(-793\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 2*(-3)\/(-132)*-2. Let n = 18 + -14. Suppose -n*o = -2*o. Which is greater: w or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 180*f + 12 = 184*f. Which is the fourth smallest value?  (a) f  (b) 0.5  (c) -5  (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 4.5027 to zero decimal places.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 + 4 = s. Suppose 0 = -680*o + 679*o + l + 4, 2*o + 3*l = 8. Solve s = -f + o for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = -m**2 + 70*m - 1140. Calculate w(42).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:16 PM and 2:08 AM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -6 - -33?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -15*y - 56 - 4 = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = -i**2 - i - 5. Let s be v(0). Let z be (-5)\/(s\/3) + 17. What is the highest common divisor of 2 and z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 824.0727 millennia?\nAnswer: 824072.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1168367983\/885 + -1320190. Let k = x + -2\/177. Let v = -1.5138 + 0.9138. Which is smaller: k or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o = 146 - 148, 0 = -5*u + 2*o + 7. Put u, 37, 3 in descending order.\nAnswer: 37, 3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*i - 2*i - 24 = 0. Let v be 48 + (-5)\/(-10)*i. Suppose 10*n = -0*n + v. Solve 5*z - n = 10 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 147*g**3 - 144*g**3 + 516*g**3.\nAnswer: 519*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) be the third derivative of -h**4\/8 - 27*h**2. Let s(u) = -13*u**2. What is k(s(l))?\nAnswer: 39*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 + -8 + 4 - (-13 + 14).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0045158 to 5 decimal places.\nAnswer: -0.00452","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + ((sqrt(153) + -4 - (2*sqrt(85))\/sqrt(5))*6)**2 - (((sqrt(17) - 2*sqrt(17))*-1 - sqrt(17)) + -1 - (1 + (1*sqrt(119) - sqrt(119))\/sqrt(7)))**2.\nAnswer: -288*sqrt(17) + 1188","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -171650, -343298, -514946, -686594, -858242?\n\"Answer: -171648*s - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 1 - 3 - (-4 - (-6 - 0))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 45249, 45263, 45285, 45315, 45353?\n\"Answer: 4*v**2 + 2*v + 45243","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: (4\/(-12))\/(6\/(1152\/(-8)))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 7738357, 7738353, 7738347, 7738339, 7738329, 7738317?\n\"Answer: -g**2 - g + 7738359","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -22  (b) -3.55  (c) -0.4  (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Determine q, given that 2*q**3 + 80*q**2\/7 - 24*q\/7 = 0.\nAnswer: -6, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) be the first derivative of 1250*o**5 - 1122*o**2 - 6850. Find the second derivative of l(r) wrt r.\nAnswer: 75000*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 79 is divided by 33?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = -8*o + 4. Let l(k) = 9*k - 5. Suppose 5*h + 5 = 6*h. Calculate h*l(z) + 6*a(z).\nAnswer: -3*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2385316 is divided by 2874.\nAnswer: 2770","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3656621 is divided by 651.\nAnswer: 605","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence il when two letters picked without replacement from {i: 1, b: 1, s: 2, l: 2, v: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*n + 4*b - 3518 = 0, -10*b + 8*b + 3514 = 5*n. List the prime factors of n.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 93235?\nAnswer: 5, 29, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 33 is divided by 23?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let -6\/5*c**4 + 14\/5*c**3 - 12\/5 + 18\/5*c**2 - 14\/5*c = 0. Calculate c.\nAnswer: -1, -2\/3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = -259*b - 43. Give m(1).\nAnswer: -302","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*h**4 - 1944*h**3 + 59924*h**2 - 57984*h.\nAnswer: 4*h*(h - 453)*(h - 32)*(h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -123*k**5 - 2*k + 27?\nAnswer: -2460*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = -v - 11. What is d(-5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 2143705*(-7 + 126\/15). Suppose -c = 13*u - 12595187. Round u to the nearest 10000.\nAnswer: 740000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 70 and 60?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (((-69)\/(-92))\/((-19)\/38))\/(-93).\nAnswer: 1\/62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 32 + 102?\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 708, 1926, 3134, 4326, 5496, 6638, 7746, 8814?\n\"Answer: -r**3 + r**2 + 1222*r - 514","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -2 - -221222?\nAnswer: 221220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r - 4 = r. Let a = -21 - r. Let i = -11 - a. Does 4 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = -17*d**2 - d - 1. Let b be u(-1). Let p = b - -29. Is p a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -4, -2\/5, 264\/7?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 10463 a factor of 1373642669?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -7954611 divided by -7791.\nAnswer: 1021","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-77)\/462*(-9)\/(9\/(-3))*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) be the first derivative of -s**2\/2 + 11*s - 5. Let d be f(6). Which is smaller: d or 6?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(91) - 6*(sqrt(91)*3 + sqrt(91)))\/(sqrt(84)\/(2*sqrt(12))).\nAnswer: -46*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1252222?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 13 + -4. Let l = 18 - f. Suppose -4*q + l*q = -20. Put -5, q, -0.3 in decreasing order.\nAnswer: -0.3, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 0, -0.3, 21, -58, -2\/25?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the seventh smallest value?  (a) 0  (b) -3  (c) 770.2  (d) -0.3  (e) 1  (f) 0.024  (g) 49\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 2061219 to the nearest integer?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 165779 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*s + 6 + 14 = 0. Let t = 3 - s. Is t a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7 = -c - 21*c + 29*c. Solve 0 = q - 3 + 5, 3*m - c = 2*q for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 19 a factor of 1503295485?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 1543 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {b: 1, t: 2, i: 3, j: 3, s: 2, w: 1}. What is prob of sequence jsi?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Divide -110409036 by -444.\nAnswer: 248669","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -1673, -2276, -3281, -4688?\n\"Answer: -201*h**2 - 1472","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 2001 - 1210?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -8?  (a) -1\/4  (b) -2\/5  (c) -5  (d) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -105*h = -95*h + 1270. Let n = -11390 - -103651\/9. Let i = n + h. Which is the third smallest value?  (a) -5  (b) -0.4  (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = -o**2 - 13*o. Let r be q(-13). Suppose a + r = 2. Let f = -2047 + 2051. Solve 5*d + 3*c = 20, a*d - 8 = -f*c + 14 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 456 minutes before 7:47 PM?\nAnswer: 12:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 14913 is divided by 530.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t + 3*u = -2, -3*t + 0*u = 4*u + 7. List the prime factors of 1*(1\/1 + t) - -149.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"}
{"text":"Question: Rearrange -7130*b**4 - 6*b**2 + 2*b + 10 + 7131*b**4 - 4*b to the form k*b + p*b**2 + g*b**4 + t + x*b**3 and give p.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) be the first derivative of 5\/2*d**2 - 4\/3*d**3 - 5*d + 243. Determine y(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 6?  (a) 3  (b) 5\/3  (c) 2  (d) -0.27\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*i + 2*g = 215, g = 2*i + 46 + 39. Let x = i + 78. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.2525359m to millimeters.\nAnswer: 252.5359","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6*c - 6*c + 260*c**2)*(-c**3 + 0*c + 0*c).\nAnswer: -260*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 439541 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = 13*y - 4. Let h(l) be the second derivative of 2*l**3 - 5*l**2\/2 + 2333*l. What is -4*h(f) + 5*q(f)?\nAnswer: 17*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 131578*a**3*t + 2*a**2*t + 454*a*t - a + 157*t wrt a?\nAnswer: 789468*a*t + 4*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -22 + 31 + -24 - -32\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 38, 1714, 30, 0.16.\nAnswer: 0.16, 30, 38, 1714","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = 5*u**3 + 10*u**2 + 10*u + 10. Suppose 2*w + i + 2 = 7*w, -4*i + 11 = -w. Let h(j) = -j**2 - j - 1. Determine w*c(s) + 10*h(s).\nAnswer: 5*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand 5*r**5 - 2*r**5 - 2*r**5 + (2 - 4 + 3)*(-4 + 4 + 1)*(2*r**3 - r**3 - 4*r**3 - 2*r**5).\nAnswer: -r**5 - 3*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = -2460*h - 309926. Calculate z(-126).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**(2\/19)*t*t**(-3\/17)*t)**(14\/9) assuming t is positive.\nAnswer: t**(8722\/2907)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-4)\/(-6))\/(2\/3). Let i(m) = m**3 - 1. Let p(j) = -7*j**2 - j - 6. Suppose 4*s = -s - 5. Let x(n) = b*i(n) + s*p(n). Calculate x(-7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2249401309 to the power of 1\/2, to the nearest integer?\nAnswer: 47428","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 133*m + 4848 = 3917 for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -45 + 41 - (0 - ((5 - 1) + -2))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = x**3 + 0*x**2 - 6*x + 3 + 0*x**3 + 6*x**2. Let b be 5 + 208\/4 - (-2 - 1). Let q = b + -67. Determine i(q).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 715 minutes before 6:47 PM?\nAnswer: 6:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*f**2 + 394*f.\nAnswer: -2*f*(f - 197)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*x - 2*x + 72. Find the third derivative of -15*r + 3*r + 4*r**4 + 5*r - x*r**4 - r**2 wrt r.\nAnswer: -768*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -8*p + 840 + 200. Is p a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 108232817 to the nearest integer?\nAnswer: 477","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o**(-1\/2))**(-5\/12)*(o**2)**(-42))\/(((o\/((o*o**(-2\/7))\/o*o))\/o)**(-2\/11)\/(o**(2\/7)*o**4)) assuming o is positive.\nAnswer: o**(-147167\/1848)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1788, 20146, 69978, 167022, 327016, 565698, 898806?\nAnswer: 1342078","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) 1\/5  (b) 324236  (c) 5  (d) 1  (e) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (398 - 423) + (11 - -4).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -3736\/943 - -90\/23. Which is bigger: q or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 9730?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1352 or -1353?\nAnswer: -1353","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -5315 - -5315.283. What is k rounded to 1 decimal place?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = -m**2 + m + 2. Let w(y) = y**2 - y - 6. Suppose -7 = 5*k - 2. Let s(v) = -1. Let t(p) = k*w(p) + 6*s(p). Calculate -3*t(i) + u(i).\nAnswer: 2*i**2 - 2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 1.8 - 1.6. What is the third biggest value in 1\/4, 2\/11, c, -3?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -17163*q**2*w**2 - 3*q**2 + 719675*q + 215*w**4 wrt w.\nAnswer: -34326*q**2*w + 860*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"}
{"text":"Question: Let w = -4 - -5. Suppose -14 = -8*t + 10. Sort -1, t, w in ascending order.\nAnswer: -1, w, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*d = -5*m - 72, 9*m - 2*d + 79 = -35 for m.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 14588\/3 at most 4862?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*l + 11 = 41. Suppose 3*o + l*p - 1380 = 0, 0*p - 2288 = -5*o + p. Suppose j + 2*g - o = -4*j, 0 = -4*j + 4*g + 372. Is j a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*d = 3*q - 6 - 0, 3*d = -2*q - 11 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 211 (base 3) to base 14\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -181, -315, -541, -877, -1341, -1951, -2725, -3681?\n\"Answer: -3*k**3 - 28*k**2 - 29*k - 121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 minus 3.349?\nAnswer: -8.349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -361 - -1445\/4. Which is the nearest to 1?  (a) p  (b) 4  (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2538708444 a multiple of 2231?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 723 and 11086.\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 13801 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, -36, -8.4, 160\/3 in decreasing order.\nAnswer: 160\/3, -4, -8.4, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 1780  (b) 0  (c) 0.3  (d) -1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 d when three letters picked without replacement from qsddqsscqdqsdqsd.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 43\/936 and 61\/24.\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = -b**2 - 136*b - 415. What is the units digit of j(-51)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2134, 2135, 2136?\nAnswer: 2137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -534 = 21*d + 85 - 220 for d.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (((-4356)\/77)\/33)\/((-2)\/14).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -83 + 104. What is the least common multiple of 15 and f?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = -u**3 + 3*u**2 - 3*u. Let n be r(2). Let z be (3\/((-12)\/16))\/n. Solve -3*d - 5*k = -3*k - 13, -z*d = -5*k - 15 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l**4\/9 + 2*l**3\/9 - 8*l**2 - 8*l = 0. Calculate l.\nAnswer: -6, -1, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 109*j = 3*c + 107*j - 6, -4*j = -5*c + 10 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y - 3*q - 9 = -5*y, 4*q = 3*y + 2. Find the third derivative of -p**2 + 7*p**y - 12*p - 29*p + 85*p**6 wrt p.\nAnswer: 11040*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 13139, 13140, 13141?\nAnswer: 13142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 + -1 + 1 + 807 + -816 + (-47 - 2).\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.088 - 39.088. Let o = 22655.5 + -22694.5078. Let a = o - s. What is a rounded to 3 dps?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 429 - -11a?\nAnswer: 547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.4917346 months in centuries?\nAnswer: 0.0020764455","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.411831 to three decimal places.\nAnswer: 0.412","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 25?  (a) 159  (b) 5  (c) 0.1  (d) -17  (e) 0.4  (f) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 128.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 j and 1 z when two letters picked without replacement from {z: 3, j: 8}.\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Add -64 and -2826.\nAnswer: -2890","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 21100 (base 4) to base 8\nAnswer: 1120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 345 + -340. Which is the nearest to 0?  (a) q  (b) 2  (c) -15  (d) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:17 PM and 3:19 PM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(104)*-2*2)\/(sqrt(88)\/sqrt(891)).\nAnswer: -36*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 5\/(-10)*(-2 + 3 - 1213). Let x = b + -1165\/2. Calculate the common denominator of x and 113\/14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) be the third derivative of -m**6\/90 + m**4\/8 + 3*m**2. Let k(g) be the second derivative of s(g). Let o(u) = -u. What is o(k(y))?\nAnswer: 8*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*c = 4*v - 7*v + 639, -v + 221 = -c. What is the hundreds digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = -w**3 - 4*w**2 + 4*w + 5. Let u be r(-4). Let i(m) = -m**3 + 8*m**2 + 11*m + 5. Let v be i(9). Let o = u + v. List the prime factors of o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 18096.\nAnswer: 2, 3, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -1787.787 rounded to the nearest 10?\nAnswer: -1790","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t = 5*d - 11, 6*t + 1 = t + 4*d. Let w be (-2 - 1 - -5) + 7. Suppose -a - 1 = -w. Calculate the remainder when a is divided by t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = 9*g - 14. Let w(m) = m**2 - 3*m + 6. Suppose 26*c - 25*c = 0. Let l be w(c). List the prime factors of d(l).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1 or 13981.37?\nAnswer: 13981.37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -73 - -23. Let s = -45 - d. Solve 5*a - r = -2, -3*r - 8 = s*a - 2*r for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 34\/95 and -61\/76304.\nAnswer: 381520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*m - 2*z - 15, m + 3*m - 5*z = -20. What is the closest to 0 in m, 3\/4, 4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = 15*o**2. Let c(k) be the third derivative of -61*k**5\/60 - 2*k**2 + 251*k. Calculate 2*c(g) + 9*l(g).\nAnswer: 13*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -177 - -90. Let j = k - -298. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u = 101 + 67. Suppose 23 = s + 5*k, 5*s + 4*k - 7*k - 199 = 0. Let r = s + -16. Calculate the remainder when u is divided by r.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 47.66 + 2.94. Let u = v - 26.8. Round u to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u - 24 = -3*u. Let d be 94\/(-10) - (-4)\/10. Let r be 16\/u + 6\/d. Put r, 0, -2 in ascending order.\nAnswer: -2, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 94040 and 1504640.\nAnswer: 1504640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -105*g = -113*g + 32. Solve u - 2*l + 6 = -3, -g*u + 2*l - 12 = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 9834588 and 72.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from vvvvnnnnnn. What is prob of sequence nn?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-2)\/10 + (-52)\/(-10). Let r be (-1 - -1)*8\/16. Let q(d) = 3 + d + 1 + r + 1 - d**2. Give q(v).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = -x**3 - 10*x**2 - 22*x - 163. Is 22 a factor of k(-19)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -105\/27086 and 73\/159714?\nAnswer: 4631706","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -30*o + 915 = -12775 + 130. What is the highest common factor of o and 36?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zppr when four letters picked without replacement from rypyyrzyyypy.\nAnswer: 1\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 83276?\nAnswer: 2, 109, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand b**2 - 1 + 1 + b**2 + 2*b**2 - b**2 + (b - 2*b + 0*b)*(0 - 2*b + 0) - 3*b - 3*b**2 + 3*b + (48 - 48 + 27*b)*(2*b + 0 + 0).\nAnswer: 56*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m be -2 - (6519\/19 - 1). Let p = -344 - m. Let j = -1167.06 + 1167. Put p, -1, 2, j in decreasing order.\nAnswer: 2, p, j, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -358 = 4*i - 4*f - 7726, -5*f - 3669 = -2*i. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 180, 2\/13, 0.4 in decreasing order.\nAnswer: 180, 0.4, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -102104 + 2111?\nAnswer: -55553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 2295185551 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 (base 13) in base 8?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z**2\/3 - 7444*z\/3 + 13853284\/3 = 0. Calculate z.\nAnswer: 3722","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -16 or -131?\nAnswer: -131","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (2\/(-3))\/((-326)\/(-3)). Let g = 242049087\/407575795 + -5\/500093. Let n = w - g. What is the nearest to 2 in -3, -1, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = i**2 - 3*i - 3. Let q be m(-3). Suppose 6*b = 3*b - 837. What is the remainder when 34 is divided by 6\/q + b\/(-15)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-551)\/95 - (-12)\/2?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-13*m**4 + 27*m**4 - m**4)*(12 - 12 + 13*m).\nAnswer: 169*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 668147 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -519344426, -519344427, -519344428, -519344429, -519344430?\n\"Answer: -q - 519344425","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (18 + -26)*(20\/16 + -1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 214824593 is divided by 42964918.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 5104637?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -8 + -3 + 19 + -1 + 2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -47*u**5 - 235*u**4 + 9199*u.\nAnswer: -940*u**3 - 2820*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2966?\nAnswer: 2, 1483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence qn when two letters picked without replacement from bqbnkpy.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-3 - 2*u + 3)*(1 - 4 + 1) - 2*u - u + 2*u)*(11*u - 8*u - 168*u).\nAnswer: -495*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 120 - 15. What is the remainder when y is divided by 27?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = -12*p - 9*p**2 + 27*p - 15*p. Let r(o) = -o - 6 + 2*o - 2*o. Let v(s) = 1. Let q(f) = r(f) + 6*v(f). Calculate q(t(c)).\nAnswer: 9*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-558*i**2 + 280*i**2 - 23*i + 38 + 280*i**2)*(5 + 2*i - 5 + (4*i - 2*i + 0*i)*(1 - 1 + 2) + i - 2*i - i + 0*i + 2*i - 4*i).\nAnswer: 4*i**3 - 46*i**2 + 76*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand w - 2*w + 2*w + 3*w + 4*w - 5*w + (4 - 1 - 5)*(4*w - 3*w - 2*w).\nAnswer: 5*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*n - 70 = 140. Let h = n - 22. What is the units digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -6523*g**4 - 5049*g**2 wrt g?\nAnswer: -156552*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = -3*x + 5. Let m(y) be the third derivative of -y**4\/24 + y**3\/3 - y**2. Let k(f) = -10*m(f) + 4*w(f). Let j(r) = -r. What is j(k(b))?\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = m**2 + 1. Let o(d) = -18*d**2 - 16. Let f(x) = -5*o(x) - 80*t(x). Let p(b) = 5*b**2. Determine p(f(q)).\nAnswer: 500*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = 3*i + 11. Let r be w(-3). Let n(j) = -18 - j**2 + 4*j + 6*j**r - 2*j**2. Is n(5) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) be the first derivative of c**3\/3 - 3*c**2 + 5*c - 10. Let o be l(3). What is the closest to 0 in o, -5, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*i - 101 + 745 = 0. Suppose 446 = 3*o + i. Does 29 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = -2*t**2 - 1. Let v be o(-1). Let n be 3*-2*v\/18. Solve 0 = 4*d - 3 - n for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y - 23 = -0*y + 5*x, 5*x = y - 2. Suppose -4*j + 267 = -285. Suppose y*q - j = q. What is the remainder when q is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9972 - 5776 = 852*z + 6404 for z.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2053*f - 4137*f - 925 = -2047*f for f.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -1 - -1. Let q(k) = k**2 + 4*k - 8. Let u be q(-5). Let r(y) = -y**2 - y + 6. Let h be r(u). Which is the closest to h?  (a) 5  (b) -2\/5  (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a*a*a**(4\/9)\/a*a**(-2\/21))**(2\/109)\/(a**(1\/2)*a**7)**(-11\/4) assuming a is positive.\nAnswer: a**(1134415\/54936)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand 25*k**2 + 71 - 71 + 2*k**2 + 4*k**2 + 2*k**2 - 3*k**2 - 4*k**2 + 5*k**2 + k**2 + 1 - 1 + (-3*k - 3*k + 4*k)*(2*k + 0*k + 0*k).\nAnswer: 28*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Convert 6 (base 15) to base 6.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 4015526487 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*f + 13 = -j, -10*f + 8*f - 16 = 4*j - 10*f - 3*f for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -172 + 6723?\nAnswer: 6541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -177, -319, -463, -609?\nAnswer: -757","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*((2 + (sqrt(242) - (5 + sqrt(242) + 0)) + sqrt(242))**2 + (5*(1 + sqrt(242)) + (5*2*sqrt(242) - sqrt(242)))**2).\nAnswer: 8844*sqrt(2) + 286248","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 1929183*g**4 + g**2 + 9010183*g?\nAnswer: 23150196*g**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 70 + -115. Let s be (-6)\/(-10) - v\/(-75). Solve s = -0*m + 5*m - 20 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = i**2 - 6*i + 3. Let d be h(5). Suppose 10*w + 988 - 1280 = -63*w. Put -8, d, w in descending order.\nAnswer: w, d, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**22\/z)**44\/(z*z**24*z*z**(-29)) assuming z is positive.\nAnswer: z**927","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -4896 - -4902. What is the highest common factor of 178 and q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9246761 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 70395 is divided by 70389?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.43 rounded to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -106 + 16?\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 78 - -24. What is the greatest common divisor of o and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -38 times 0.351847\nAnswer: -13.370186","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4778.475 millilitres to litres.\nAnswer: 4.778475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 6901 and 6030.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 47\/204 and 58\/561?\nAnswer: 2244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = n**2. Let d be (-21)\/(-27) + (-6)\/(-27). Let z(f) = -f**2 - 5*f + 5. Let c(i) = -i + 1. Let y(m) = d*z(m) - 5*c(m). Calculate h(y(j)).\nAnswer: j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (7*z**2 - 1 + 1)*(-2 + 2*z**2 - 13 - 5).\nAnswer: 14*z**4 - 140*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Work out -6 * 12.288.\nAnswer: -73.728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 23909988247 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x + 40 = 5*j, -2 = -x + 3*j + 2. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((0 + -5*(6*(sqrt(605) + (6*(sqrt(605)*1 - sqrt(605)) - sqrt(605))) + -4 + -1*sqrt(605) + sqrt(605) + 2))*-6)**2.\nAnswer: 3600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -381 + 157 = 142*v - 1928 for v.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -5928411*j**5 + 4043782*j**2.\nAnswer: -355704660*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c*(c**(-6)*c)\/c*c**4)**(7\/6)\/(c**7*c**(-2)*((c*c**(-1))\/c*c)**25) assuming c is positive.\nAnswer: c**(-37\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 0  (b) -3\/8  (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = r + 22 - 0. Suppose 0 = -3*y - 81 - 12. Let x = y - r. Which is greater: x or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 31\/(-62)*2\/(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 66579 = 56*k + 66691 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2515, 2545, 2575?\nAnswer: 2605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 352255 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (10*p + 5 - 5)*(4*p - 4*p - 2*p**3) + (-2*p**4 + 0*p**4 - 5*p**4)*(2 - 1 + 0).\nAnswer: -27*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*m + 198 = -222. Is 30 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) -8\/89  (b) 4  (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 0 + 6\/(-81)*-3. Let h be 65\/(-143) - (-1215)\/495. Factor f*w**h + 0 + 2\/9*w.\nAnswer: 2*w*(w + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 128931 + -77745442\/603. Find the common denominator of -50\/27 and r.\nAnswer: 1809","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -54, 4053, 4, 5 in decreasing order.\nAnswer: 4053, 5, 4, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*i + u - 6*u - 236, 3*i - 3*u - 246 = 0. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -404.2300069 rounded to 1 decimal place?\nAnswer: -404.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 6855, 13705, 20555, 27405?\nAnswer: 34255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 8295163 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 2 + 29e?\nAnswer: 2a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.057669?  (a) 0.3  (b) -4  (c) 4\/9  (d) 2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.12 - 0.13. Let v = d + 1.01. Let s = -2 + -1. What is the third smallest value in s, -4\/9, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((30\/(-12))\/((-1)\/(-2)))\/(-1). Suppose -3*s - 29 = -5*y, f*y + 29 = -2*s + 43. Solve 2*v - y = -10 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 8, 12, 16, 20, 24?\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p - 2 = -3*m, -2*m - 3*p + 1 = -0. Let v be 24*((-6)\/9 - m). Suppose 0 = -5*o + v + 2. Is 2 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express ((-3 + 4 - 2)*(3 - 1 - 3) + 1 - 1 + 1)*(4*k**3 - 7*k**2 + 7*k**2) in the form o*k**3 + p*k**2 + y + a*k and give o.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 78039823051 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of n**3 - 232917*n**2 - 527*n + 89 wrt n?\nAnswer: 6*n - 465834","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 4476 - 4458. Let b(t) = -30*t - 1. Let p(m) = 2*m. Calculate y*p(c) + 2*b(c).\nAnswer: -24*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*u + 25. Let k(x) = x**3 + 6*x**2 - 3. Let y be k(-6). Let j be (y + u)*2\/(-4). What is the greatest common factor of j and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -3322 by 302.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -4236332441\/896220 + 9\/99580. Let g = -4722 - q. Calculate the common denominator of -49\/6 and g.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 19214630?\nAnswer: 2, 5, 947, 2029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = -2*l**2 + 7*l + 1. Let a be z(6). Let p = a + 32. Suppose 6*q - 27 = p*q. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1177 + -22383\/19. Let z = -24\/95 - h. Factor 0*u - z*u**2 + 2\/5*u**4 + 0 + 2\/5*u**3.\nAnswer: 2*u**2*(u - 1)*(u + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 146 is divided by 119?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v + 0*d + 1537 = 3*d, 0 = -3*d + 9. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -2461474, -4922913, -7384352, -9845791?\n\"Answer: -2461439*i - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is b4cb0 + -19?\nAnswer: b4c95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = -t**3 + 22*t**2 + 50*t + 46. Let c be 30\/(-12)*(-192)\/20. What is the remainder when o(c) is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find g, given that -g**4 + 11442*g**3 + 11443*g**2 = 0.\nAnswer: -1, 0, 11443","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 10*n**3 + 70*n + 3160 - 3160.\nAnswer: 10*n**3 + 70*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is -1777953 >= 8.7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*r - 3*h - 18, 5*h - 2 = -556*r + 560*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = -2. Let v(b) = 17*b**2 + 8. Let y(k) = -4*f(k) - v(k). Let q(j) = -2*j. Give y(q(z)).\nAnswer: -68*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 8305731?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, -1, 9, -9 in decreasing order.\nAnswer: 9, -1, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 8439 divided by 14.\nAnswer: 8439\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y - 2*l - 566 = 0, -5 = 15*l - 10*l. Let d = -139 - y. Let 3*t - 8\/3*t**3 - 1\/3*t**5 + 2\/3*t**2 + 4\/3 - d*t**4 = 0. Calculate t.\nAnswer: -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 0 - (-3)\/(-18) - (-217)\/42. Solve -c*b - 30 = -3*u, -37 = 4*b + 9*u - 14*u for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -33, -74, -125, -192, -281, -398, -549?\nAnswer: -740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 3146 and 2481479?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 17*a - 30*a = 104 for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -425648 + 425670.98755. Let y = g - -0.01229. Let t = y - 23. What is t rounded to five dps?\nAnswer: -0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2864808, -5729615, -8594422, -11459229, -14324036?\nAnswer: -17188843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s = 0, 5*h + 11*s - 6*s = 1395. Suppose -16*n + 7*n + h = 0. What is the remainder when n is divided by 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-165 + 21 - -73) + 97.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.5458591l in millilitres?\nAnswer: 545.8591","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -206461.3 - -0.6?\nAnswer: -206460.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Convert -100000221200 (base 3) to base 15.\nAnswer: -37a60","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -22 - -26. Suppose -b*h + 111 = -h. Let q = -32 + h. Solve 0*f - 3*f = -j + 1, q*j = -5*f - 35 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*w + t - 1 = w, 5*t = -4*w - 24 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 12 and 1525072?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (11847*a - 11847*a - 427*a**2)*(a**3 - 4*a**3 + 0*a**3).\nAnswer: 1281*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 37053 - 259370\/7. Factor -1\/7 - 5\/7*c**4 - 5\/7*c - h*c**5 - 10\/7*c**3 - 10\/7*c**2.\nAnswer: -(c + 1)**5\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -11 or 1\/103?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (8\/14)\/((-5)\/(-35)). Let a(w) = -w**2 + 5*w - 3. Let h be a(l). Put -1, h, 5 in ascending order.\nAnswer: -1, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -1115\/6 + 1135\/6. Factor -2\/3*w**2 - 4 + s*w.\nAnswer: -2*(w - 3)*(w - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be -1 + -11 - (44 + -63). What is the fourth biggest value in -4\/7, o, -1\/36, 1, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*j + 2*j + j)*(12663 - 26041 + 12827).\nAnswer: -1653*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15*n = 6*n + 18 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = b**3 - 18*b**2 - 1. Let i be r(18). Which is smaller: i or -1\/267?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1912495350 to the nearest integer?\nAnswer: 43732","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*a - 179 = -3*i + 2*i, -50 = -a + 5*i. Let c be (-4)\/((-12)\/9) + 19 + -4. Calculate the highest common divisor of a and c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**2\/t)\/(t\/(t*t*t*(t*t**(9\/4)*t*t)\/t)) assuming t is positive.\nAnswer: t**(29\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -949 + 1589. What is the hundreds digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 27 + 21 - 75 - 4*r**3 + 27.\nAnswer: -4*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 1  (b) -0.09  (c) -4  (d) -12\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Total of -1244755.4083778 and 0.1.\nAnswer: -1244755.3083778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, 64, -3, -1, 0 in decreasing order.\nAnswer: 64, 1, 0, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 450119629 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 541 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 5.5 + -5.04. Let t = 0.5002 - 0.025. Let z = s - t. Round z to three dps.\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (12\/6)\/(7\/(196\/(-8))).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0004240151 rounded to 7 dps?\nAnswer: 0.000424","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = -v**3 - 13*v**2 + 14*v + 6. Let k be t(-14). Solve -3*i = -3*w - k, 5*i - 31 + 3 = -w for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 3 or -39?\nAnswer: -39","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = -c**3 - 5*c**2 - 4*c + 1. Let o be t(-4). Suppose 3*y = -3*s + 19 - o, -3*s + 12 = y. Is 2*(s\/3 + 1) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 359191949 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) be the first derivative of -107 + 2*w - 1\/24*w**4 + 23\/12*w**2 + 5\/9*w**3. Suppose s(g) = 0. What is g?\nAnswer: -1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (27*d - 27*d - 8*d**2)*(-4 + 5 + 0) - d - 13*d**2 + 8*d - 5*d to the form z*d + r*d**2 + s and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -2, 18, 52, 100, 162, 238?\nAnswer: 328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 30577, 30654, 30715, 30760?\n\"Answer: -8*b**2 + 101*b + 30484","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n = 3 - 7. Suppose -2*s - 2*s = 20, 3*i - 36 = 3*s. Does 14 divide n + (i - 3) + 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -5, 3, -3\/5, 1.5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -36 + 103. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 96173.\nAnswer: 7, 11, 1249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-4*q + 6*q - q)*(-6 + 1 + 4) - q + 0*q + 6*q)*(-800 + 2271 - 686 - 669).\nAnswer: 464*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Determine r, given that -13*r**3\/3 + 4586*r**2\/3 + 361368*r = 0.\nAnswer: -162, 0, 6692\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -13 - 24*l + 21 - 8*l - 8 - l**2 to the form m*l**2 + p*l + y and give p.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 19 and 779?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = 2*u**2 - 5*u + 1. Let r be -10*(-1 - 3\/(-5)). Is t(r) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 1011 - 245?\nAnswer: 433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -4 - -12. Suppose -l*m = -5*m - 72. Let x = m + -12. What is the remainder when 57 is divided by x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1888623880?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25*g - 45 = -20*g. Let i(n) = n**2 + 7*n - 20. Let j be i(g). Put j, -5, 4 in decreasing order.\nAnswer: 4, j, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -89081523 and -2.\nAnswer: 178163046","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 2 - -917505?\nAnswer: 917507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = -53*g**3 - 2*g**2 + 2. Let y be k(-1). Suppose -19 - y = -4*i. Let x(n) = n**2 - 20*n + 60. Calculate the remainder when x(i) is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -751, -2942, -6613, -11764, -18395, -26506?\nAnswer: -36097","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 3412 - 3411. What is the nearest to 0 in o, 0.5, -5, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 less than -17169?\nAnswer: -17167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find q, given that -60*q**5 + 344*q**4 - 548*q**3 + 88*q**2 + 272*q - 96 = 0.\nAnswer: -2\/3, 2\/5, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*s - 17*s - 11*s)*(9 + 2 - 2) - 78*s + 39*s + 43*s + 1.\nAnswer: -221*s + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 59568 and 12921?\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find v, given that -3*v**4 + 220104*v**3 - 1760679*v**2 + 2861058*v - 1320480 = 0.\nAnswer: 1, 6, 73360","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 674 - 6759\/10. Is o less than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -116, -117, -118, -119?\n\"Answer: -z - 115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 59830246591 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((1 - 2)*-7)\/1. Solve -x*f = -2*f - 20 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 17123.\nAnswer: 17123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 155305214 to the power of 1\/2, to the nearest integer?\nAnswer: 12462","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -2d (base 15) in base 10?\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 31 + -28. Let m = -15 - -23. Let w = m + l. What are the prime factors of w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 2\/311 + 227\/13062. Let f(s) be the third derivative of 0*s - 1\/420*s**6 + 1\/7*s**3 + i*s**5 + 0 - 1\/12*s**4 - 2*s**2. Factor f(d).\nAnswer: -2*(d - 3)*(d - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(44) - sqrt(176)\/sqrt(4)*-3)\/(3*sqrt(8)\/sqrt(2)).\nAnswer: 4*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, -397, 4, 3 in ascending order.\nAnswer: -397, -3, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 990463 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = -4*g**3 - 287*g**2 + 74*g + 236. Determine w(-72).\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = -2*t**3 + 3*t - 6. Let n(b) = b + 1. What is 4*n(x) + w(x)?\nAnswer: -2*x**3 + 7*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Divide 721 by 7.\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -27, 2, -155, -64 in increasing order.\nAnswer: -155, -64, -27, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 46 and 1843979.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 a and 1 o when two letters picked without replacement from rxuazxo.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = 4*z + 4. Let q(s) = 9*s + 8. Let d(k) = 3*q(k) - 7*w(k). Suppose -2*m = 2*t - 0*m, 5*m + 16 = -t. Let a(j) = 1. What is t*a(v) + d(v)?\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 4358\/3 + -1453. Let b = 13.8 + -14. What is the smallest value in -2\/19, b, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 24.24 - 35. Let i = a + 6. Let c = -0.36 - i. What is c rounded to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -3*n**2 - 2 + 2 + (-6 + 6 - 2*n**2)*(0 + 0 + 1) + n**2 + n - n in the form a + o*n + i*n**2 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express 9157*k**2 + 6*k**3 + 0*k + 2*k + 2*k**4 - 9154*k**2 as b + p*k**4 + w*k**3 + f*k + j*k**2 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 4142275339 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 1, 409, 12591.8?\nAnswer: 409","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 7.206 + -7.199677. Round r to four dps.\nAnswer: 0.0063","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = -a - 1. Let t(g) = -4*g**3 + 4*g**2 - 3*g - 3. Let p(f) = 3*h(f) - t(f). Find v such that p(v) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = -u**2 - 3*u - 3. Let v be (-1)\/(-4*3\/(-24)). Let r be l(v). Is 0 - 4 - (-116 - r) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*v + 2*z + 164 = 175, 9*v + 2*z = -49 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let 132 + 725*z - z**2 + 715*z - 1439*z = 0. What is z?\nAnswer: -11, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence alpk when four letters picked without replacement from {a: 1, p: 10, l: 2, k: 1}?\nAnswer: 5\/6006","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*s + 1009*r - 1007*r + 64, 4*r = 5*s + 52 for s.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 8 and 80.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((1*sqrt(320) + sqrt(320))*1 + 1 + -2)**2 - (-3*(sqrt(320) - (sqrt(320) + 1)*1) + -5).\nAnswer: -32*sqrt(5) + 1283","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -102992162*d**3*z**2 + 8*d**3*z - 3*d**3 - 80*d**2*z - 3*d*z**2 + 2*d*z - 3 wrt z.\nAnswer: -205984324*d**3 - 6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.4, 5\/2, 1139, -0.5.\nAnswer: -0.5, 0.4, 5\/2, 1139","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -2*u**4 - 150508*u**2 - u + 924392?\nAnswer: -8*u**3 - 301016*u - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 13, 0.4, 46, 3\/8, -10?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = -6*g**3 - 2*g**2 - 6*g + 7. Let b(d) = 12*d**3 + 4*d**2 + 13*d - 15. Determine 6*b(c) + 13*i(c).\nAnswer: -6*c**3 - 2*c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 45238.\nAnswer: 2, 22619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -615683, 98, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = -m**2 + 9*m - 2. Let r(s) = -2*s**2 + 22*s - 4. Let x(g) = 7*n(g) - 3*r(g). Factor x(h).\nAnswer: -(h + 1)*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:56 PM and 7:59 AM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = 2*l**3 - 10*l**2 - 12*l + 40. Let p be w(8). Suppose 1313*j - 1309*j - p = 0. Let g be (-2)\/6 + (-500)\/(-6). Is g <= j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 23*k**2*m*p**2 + 3*k**2 - 13*m*p**2 - 2*p**2 - p wrt k.\nAnswer: 46*k*m*p**2 + 6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 108190519 to the nearest integer?\nAnswer: 477","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -87049965*k - 36958652.\nAnswer: -87049965","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 256691378?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -884 + 631. Let u = t + 438. Suppose -4*o + u + 23 = 0. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = -6746*f + 22. Let i(b) = -3376*b + 12. Determine 11*i(n) - 6*z(n).\nAnswer: 3340*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -90 - -84. Let v be (4 + l)*(-6)\/22. Is v <= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = -22*f**2 - 8*f + 16. Let x(k) = -22*k**2 - 11*k + 15. Give 3*d(u) - 2*x(u).\nAnswer: -22*u**2 - 2*u + 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 9*v**4 - 22*v**4 - 19*v**4 + (5*v**3 + 6*v**2 - 6*v**2)*(9*v + 17*v - 2*v) to the form m + x*v**4 + g*v**2 + c*v**3 + d*v and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is z in 2*z**4\/7 - 16797*z**3\/7 + 91986*z**2 - 1521592*z\/7 + 601920\/7 = 0?\nAnswer: 1\/2, 2, 36, 8360","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*r - 61 = 571. Suppose 2*b = 3*n - 90, -45 = -4*n + 4*b + r. Suppose 0 = 2*h + 2*o - n, 0*h + o = 4*h - 66. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from rmrmmtrmimrmrrsmr. What is prob of sequence ts?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = 496*h + 0*h**2 - h**2 - 496*h - 112. Let t(c) = 7*c**2. Give t(q(n)).\nAnswer: 7*n**4 + 1568*n**2 + 87808","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 3025 + -123?\nAnswer: 2502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*z = -3*z - 15. Let k = -283 - -288. Suppose -2*a = -7*a. Solve k*b - z*b - 4 = a for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4414 is divided by 1086?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 0.1  (b) -1107  (c) 8.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*sqrt(504))\/sqrt(8) - (0 + sqrt(343)*1)**2.\nAnswer: -343 + 18*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand -68*d**4 + d**2 + 42*d**4 + 175*d**4 + (-d + 3 - 3)*(-2 + 2 + 2*d**3).\nAnswer: 147*d**4 + d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*(sqrt(171) + sqrt(171) + (sqrt(171) + -1 + sqrt(171) + -3 - sqrt(171)) + sqrt(171) + sqrt(171))**2.\nAnswer: -240*sqrt(19) + 8582","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -10223053 (base 6) to base 15\nAnswer: -5d7c6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 20432 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = x, -4*g = -0*g + 4*x - 56. Let p be (g\/2)\/((-3)\/(-6)). Suppose 3*a + 480 = p*a. Is 11 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5 (base 13) to base 3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 4, 15\/8, 1, 22.6, -0.09, -3, 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 762*t - 671*t = 6536621. List the prime factors of t.\nAnswer: 109, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {u: 2, d: 3, c: 4}. What is prob of sequence ccdu?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: a37a38 (base 12) to base 5\nAnswer: 1124022413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -292 - -417. Calculate the remainder when a is divided by 32.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = 4*y - 34. What is s(7)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -1369 + 5?\nAnswer: -1364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = 2*c**2 - c - 2. Let h = 26 + -24. Let s(y) = -2*y**h + 10*y**2 + 0*y**2 - 8 - 5*y + 0*y**2. Suppose 7*j + 8 = 3*j. Give j*s(o) + 9*b(o).\nAnswer: 2*o**2 + o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -8\/63 and 52\/3?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 3914387 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 5366231742 to the power of 1\/3, to the nearest integer?\nAnswer: 1751","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z + 4*s - 6 = -4*z, -4*z = -5*s - 39. Suppose -2*u = -4*d - 16 - z, 3*u - 6 = -3*d. Calculate the smallest common multiple of u and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = -433*m - 2. Let l(v) = -1398*v. What is l(b(r))?\nAnswer: 605334*r + 2796","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"}
{"text":"Question: (-33)\/(-22)*(-10)\/15*22*(-34)\/(-68)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 25369.4114 less than -0.0471?\nAnswer: -25369.4585","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify n**(3\/16)\/(n*n**(-15)) assuming n is positive.\nAnswer: n**(227\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-38)\/8)\/(2\/8). Let w = -5 - u. Let z be (1*7)\/((-3)\/(-3)). What is the highest common divisor of w and z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n = 0, -18*t + 16*t + n = 0. Let v(r) = -14 + t - 7 - 2*r + 25. Let i(h) = 2*h - 3. Give 3*i(y) + 2*v(y).\nAnswer: 2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*h - 5*p = -15*h + 7611, 0 = -3*h - 2*p + 5714. What is the hundreds digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 27209812 and 112?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16 - 14 = -r. Let a be 5\/(25\/r + 0). Let x(h) = -2*h + 5. Determine x(a).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = 26*y**2 + y. Calculate the common denominator of k(1) and 65200\/267300 - (-12)\/(-44).\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i - 4*i = 0. Suppose i = -4*o - 10 + 30. Suppose o*g - g - 44 = 0. Solve 2*n + 11 = h, -4*h - g = -0*n + 3*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = 1020*p**2. Let o(a) = -5*a**2. Calculate k(o(z)).\nAnswer: 25500*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 9941332.83 rounded to the nearest one thousand?\nAnswer: 9941000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -1.849 - -1.76. Let h = s - -5.689. Which is the second smallest value?  (a) 2\/7  (b) 0.3  (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*b + 4*b - b)*(-2*b + 0*b + 0*b) + (2 - 3 - 3 + (-2 + 1 + 3)*(7 + 6 + 0) + 1 - 1 + 1 + 0 + 1 + 0)*(-4*b**2 + b**2 + 4*b**2).\nAnswer: 26*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 48323960 is divided by 896.\nAnswer: 888","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t = -y, 3*y - 5*t = -2*t. Let n be 64\/(-24)*9\/(-12). Suppose 9*d - 3*v - 6 = 4*d, -n*d + v + 2 = 0. Do d and y have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 8725?\nAnswer: 5, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 3167 and 54.\nAnswer: 171018","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is q in -3*q**3\/5 - 73*q**2\/5 - 22*q\/5 + 48\/5 = 0?\nAnswer: -24, -1, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -0.2 from 71472.\nAnswer: 71472.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = s + 11. Let i(v) = 3*v - 1. Let o be i(3). Let g be (-29)\/4 - 6\/o. Let l be z(g). What is the highest common factor of 21 and l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 112*t**2 + 2*t - 7937901*t**3 + 7937908*t**3 - 3*t in the form q*t**3 + f*t + x*t**2 + k and give q.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u - r - 5 = 6, 2*u - 4*r + 12 = 0. Differentiate 5*c**u - 133 + 124 + 8*c**4 wrt c.\nAnswer: 52*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -q**3 + 5*q**3 - 3*q**3 + (-2*q + 2*q - 6*q**2)*(2*q + 1 - 1) + (-2*q - 2 + 2)*(1 - 1 + 2*q**2) + 3*q**2 - 3*q**2 + 2*q**3 + 13*q**3 - 124*q**3 - 7*q**3.\nAnswer: -131*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 108*1\/(-32) + -12 - 15\/(-1)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -17*n**2*r**2 + 59*n**2*r - 105*n**2 - 25068979*n*r**2 wrt n?\nAnswer: -34*r**2 + 118*r - 210","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Does 113 divide ((-16445)\/(-69))\/((-15)\/(-18))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 45\/4 of a micrometer?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 5133 or 31?\nAnswer: 5133","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 374 + -365. Suppose r = 3*o - 3*s, 10*s - 6*s = o - 3. Suppose 0 + 12\/7*i**o - 27\/7*i**2 + 6\/7*i = 0. Calculate i.\nAnswer: 0, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = d**3 - 27*d**2 + 17*d + 211. Determine v(26).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 162 + 99. Let z = -160 + j. Does 13 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3217557.\nAnswer: 3, 7, 37, 41, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 1\/62  (b) 5  (c) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 312 - -1127. Is 65 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 134865 to the nearest integer?\nAnswer: 367","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*p - 113 + 42 - 71*p**3 + 36 - 6*p**2 + 35.\nAnswer: -71*p**3 - 6*p**2 - 3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -56*n**4 - 1026*n**3 - 1948*n**2 + 2166*n + 864 = 0. What is n?\nAnswer: -16, -3, -9\/28, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -24 - -21. Put c, 0.6, 0.5 in increasing order.\nAnswer: c, 0.5, 0.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 16283585 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = -2*s**2 + 18*s - 17. Let t(z) = z**2 - 9*z + 8. Suppose 0 = 2*c - 7*c + 15. Let o = -723 - -730. Let k(j) = c*p(j) + o*t(j). Determine k(9).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 27\/4 of a day in minutes?\nAnswer: 9720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is one quarter of a millennium in years?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -17086, -17093, -17086, -17059, -17006?\n\"Answer: j**3 + j**2 - 17*j - 17071","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Divide -21408075 by -4281615.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence lpl when three letters picked without replacement from {p: 6, l: 7}.\nAnswer: 21\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = 51*q**3 + 2*q**2 - 2*q + 1. Determine n(1).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = -3*r. Let q(c) = -24295*c**2 + 8*c - 24287*c**2 + 48581*c**2. Calculate q(y(g)).\nAnswer: -9*g**2 - 24*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = 2*f**2 - 23. Let m be k(4). Suppose -4731 + 29229 = m*w. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be -1*(-2)\/12*-1. Suppose -3*h - 9 = j - 7*h, 5 = -3*j + h. What is the closest to j in c, 1, 3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = -2*k**3 - 27*k**2 + 13*k - 12. Let c be q(-14). Let y(p) = -2*p - 1. Calculate y(c).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = 16*j + 607. What is the remainder when o(-35) is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = -7*l + 65. Let n(v) = 20*v - 195. Calculate -6*n(c) - 17*r(c).\nAnswer: -c + 65","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 114 + -36. Let n = f + -73. Solve n*g = 9*g - 20 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in three fifths of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 23860 and 180.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j = 2*j + 10. Suppose -3*h - j*y + 61 = -y, -5*y + 5 = -h. Calculate the remainder when 1 + -5 - (-2 + 12 + -72) is divided by h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q**(-7\/3))**(2\/87))**(-5\/4) assuming q is positive.\nAnswer: q**(35\/522)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: ((-105)\/147)\/(0 - (-2)\/(-70)) - (0 - 12)\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = -37*d. Let g(l) = 3807555*l**2. Give g(b(n)).\nAnswer: 5212542795*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4\/6 + (-138920)\/(-276) is divided by 117.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = 22 + 0*w - 22 + w. Let i be q(4). Suppose 0 = -a - 0*a + 12. Solve 0 = i*s - s + a for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 4 + -3. Let q = 1.4 - b. Let z = 6 - 4. What is the second biggest value in q, z, -1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**6\/z*z*z\/z**(-2))**(20\/7)*(z**1)**(-7)*(z\/(z*z\/(z**(-5)*z)))\/(z*z**6) assuming z is positive.\nAnswer: z**(47\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -26907 - -26907.3. What is the third smallest value in r, 5\/2, 92?\nAnswer: 92","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = 6*n - 2*n - 3*n. Let w(c) = 2*c + 2. Suppose -4*j - 10 = 6*j. Let v be (j\/(-2))\/(13\/(-104)). Calculate v*t(g) + w(g).\nAnswer: -2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 10259 is divided by 2008?\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -9 - 6\/12*2 - -6. Is (0 + -1697)*y\/(1 + 1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*x + 2*x - 5*x)*(-108214*x**2 + 108214*x**2 + 409*x**3)*(14*x - 8*x + 10*x).\nAnswer: -6544*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Total of -74 and -1.231.\nAnswer: -75.231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4130637.\nAnswer: 3, 7, 239, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 43861*r + 1 - 43861*r - 2*r**2 - 1.\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m\/(m\/(((m**(2\/5)*m)\/m)\/m)*m))**(2\/19)*(m**(-12)*m)**(-1\/6))**15 assuming m is positive.\nAnswer: m**(949\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 491 minutes before 1:13 PM?\nAnswer: 5:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 300 and 486444.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14468227 = -46*t - 24179501. Let w = t - -508468. Round w to the nearest ten thousand.\nAnswer: -330000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 273 (base 8) to base 16\nAnswer: bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -351651 to the nearest 1000.\nAnswer: -352000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (25\/210)\/(((-29)\/(-870))\/((-2)\/(-10))).\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert -103a (base 16) to base 7.\nAnswer: -15053","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -72 + 161. List the prime factors of m.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-96)\/(-112)*(-28)\/6?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = -o. Let f(m) = 5*m - 54*m - 15*m - 21*m + 7*m. What is f(x(v))?\nAnswer: 78*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) be the second derivative of -u**3\/3 + 18*u. Let s(g) = 2 - 2 - g + 6*g. Give b(s(t)).\nAnswer: -10*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -122888 or -123554?\nAnswer: -122888","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 90 and 1682598?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 9 a factor of 465206238?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Are 7833\/139882 and 1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -52, -69, -74, -61, -24?\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 36057842 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 17940 divided by -6.\nAnswer: -2990","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 136?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -298, -284, -256, -208, -134, -28, 116, 304?\n\"Answer: r**3 + r**2 + 4*r - 304","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -1, -2\/5, 1\/2, -7\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 13, 18, 11, -14, -63, -142, -257?\n\"Answer: -o**3 + 12*o + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 3\/5?  (a) -5623342  (b) 0.3  (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 5995 and 63349?\nAnswer: 34525205","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 0.3367154 or 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -7 - ((-20)\/10 + -11).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -15*d**3 - 171*d**2 - 216*d - 60.\nAnswer: -3*(d + 1)*(d + 10)*(5*d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*o + 2*o = -20. Suppose -z - 5*k = -5, 5*z + o = 2*z + 5*k. Solve 3*g - 5 = 6*x - x, z = 5*g + 3*x + 3 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -68 = 5*b + 217. Let s be (88\/12 - 7)\/(14\/(-21) - 0). Which is greater: s or b?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 124 is divided by 25?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 28442619?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 25724426, 51448851, 77173276, 102897701, 128622126?\n\"Answer: 25724425*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 65 + 285 = 50*l for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -20033 + 2222?\nAnswer: -11211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:45 PM and 12:24 AM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) be the second derivative of -2187*z**5\/4 + 205*z**3\/6 - z**2\/2 - 8341*z. Find the second derivative of u(s) wrt s.\nAnswer: -65610*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 5\/19 and 61\/3.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g - 5*w + 144 = 46, -4*w = 3*g - 73. What is the greatest common factor of g and 207?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 576 - 570. Sort -2.6, q, 2\/15 in descending order.\nAnswer: q, 2\/15, -2.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -5*-146757.31\nAnswer: 733786.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2700\/7200)\/((-11)\/32).\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s + 5 = -k, 4*s + 1 = 2*k + k. Let p = k + 21. Does 8 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = i**3 - 3*i**2 - i + 3. Let t be g(4). Calculate the highest common factor of t and 45.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) be the first derivative of 647*w**2\/2 - 122*w - 551. What is the derivative of f(n) wrt n?\nAnswer: 647","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -35.67 - -3.59. Let p = t - -34.603. What is p rounded to 1 dp?\nAnswer: 2.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 19347662 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 9.16 and -0.1?\nAnswer: -0.916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 5282 + -5282. Solve 5*j = -s*f - f + 16, 2*f = 4*j - 24 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g + 4*x - 9 = 3*x, 5*g - 3 = 4*x. Let c be -40 - (g - (-1 - -3)). Let j = -19 - c. What are the prime factors of j?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 3*v**3 - 5*v**4 - 2*v**3 - 2*v**2 + 2*v + 6*v**4 as w*v**2 + n*v**4 + k + o*v**3 + z*v and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = 3*t**2 + 27*t + 7. Let y(f) = -5*f**2 - 53*f - 15. What is -6*y(p) - 13*z(p)?\nAnswer: -9*p**2 - 33*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -222, 32, 508, 1200, 2102?\n\"Answer: -f**3 + 117*f**2 - 90*f - 248","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 7\/2 of a millennium?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18*h = -27*h + 270. Find q, given that -6901*q**4 + 6881*q**4 - h*q**3 - 28*q + 60*q**2 + 6*q**5 + 12*q = 0.\nAnswer: -2, 0, 1\/3, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w - 2 = -32. Let i be (-1 - -2)\/(-9 - w). Let a = -1 - -3. Sort 3, i, a in decreasing order.\nAnswer: 3, a, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2 - 2 - 330*v + 171*v + 174*v.\nAnswer: 15*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 5 - (0 - (11 - 25)) - 19?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -11275 take away -1.1?\nAnswer: -11273.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -411 + 411 + 3*n.\nAnswer: 3*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, 6, 2, 0 in increasing order.\nAnswer: -3, 0, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 2.2635495 nanoseconds?\nAnswer: 0.000000000037725825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is -135165313 >= -135165315?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -0.14  (b) 19  (c) -3  (d) 0.8  (e) -8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 145 + -122. Let u = -61 - d. Let f = u - -89. Solve 5*a = -f - 15 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 divided by 74344?\nAnswer: -1\/18586","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -18099, -36205, -54311, -72417, -90523, -108629?\nAnswer: -126735","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m - 4*g + 8 = 0, -3 = -5*m - 4*g + 5. Suppose m*d = -11*d + 649. Does 26 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (-24)\/(-42) + 269\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -82, 2, 2\/7, -3?\nAnswer: -82","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = m**3 - 32*m**2 - 23*m - 248. Determine t(33).\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 122 (base 7) to base 12.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 3  (b) -6  (c) 69193  (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 425 + -1?\nAnswer: 424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 6\/4 - (-3360)\/(-2250). Let z(u) be the second derivative of 8\/5*u**2 - 5*u + 0 + 2\/5*u**4 - 2\/25*u**5 - 16\/15*u**3 + f*u**6. Factor z(s).\nAnswer: (s - 2)**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j - x + 5*x = -18, -5*x = 10. Let f = 7 - 4. Suppose f*b - 22 = -5*d, -j - 19 = -3*b - 3*d. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -w = -w - 4*w + 2*l - 170, -1844 = 44*w + 4*l for w.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = -4*s**2 - 1. Let b(l) = -13*l**2 - 2. Let g(j) = 4*j**2 - 10*j - 82. Let h be g(6). What is h*b(o) - 7*n(o)?\nAnswer: 2*o**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) be the first derivative of -14*x**2 + 0*x - 72 + 31\/3*x**3. Find the second derivative of k(g) wrt g.\nAnswer: 62","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -63 - 10. Let b = -44 - n. List the prime factors of b.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) be the second derivative of -1205*j**3\/6 - 337*j**2 - 2*j + 11. Differentiate u(g) wrt g.\nAnswer: -1205","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*g - 0 + 20. Which is the closest to 2\/7?  (a) 1  (b) g  (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 18968391 is divided by 626.\nAnswer: 591","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = i**3 - 68*i**2 + 248*i + 504. Give t(64).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 230227 to the power of 1\/4, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/5 of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y - d + 10 = y, 0 = -3*y - 3*d + 18. Suppose y = 3*u + 16. Suppose 0 = -m + 24 - 21. Sort u, 2, m in increasing order.\nAnswer: u, 2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = -l**3 - 45*l**2 + 1567*l + 68966. Determine u(-46).\nAnswer: -1000","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 37553?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 158 is divided by 28?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -30*c + 20565 = -9075. What is the lowest common multiple of c and 20?\nAnswer: 4940","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*q - 7 = -r, -3*r - 4581 + 4522 = 5*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 4107?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i\/(i*i*i**(-1\/5))*i*i*(i\/(i*i\/i**5*i))\/i*i*i*i*i**5*i**(-3))\/((i**0)**(-47)*(i\/i**1)**(2\/7)) assuming i is positive.\nAnswer: i**(41\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*sqrt(250)*-3)\/(sqrt(55)\/(sqrt(275) + sqrt(275)*3)).\nAnswer: 1500*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 97 divided by -1\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 365211 less than 44809?\nAnswer: -320402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = -73*x - 14. Let c be o(-9). Let h = 435 - c. Let r be h\/36 + (-2)\/9. Let t(s) = -s - 1. What is t(r)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000005977609526 to 7 dps.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -111392000*k**5 - 1783074400*k**4 - 7141927845*k**3 - 51376720*k**2 - 92480*k = 0. What is k?\nAnswer: -8, -17\/4720, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9 = -0*i + 3*i. Suppose 7*r - 12 = i*r. Let n be r\/(-7) - (-57)\/84. Which is smaller: 0 or n?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) -253855\/6  (b) 0.5  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -21 times -17\nAnswer: 357","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 3, 559, 0.245, 4\/7, 0.1?\nAnswer: 0.245","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*b + 3*b - 6. Let w(q) = -1 - 8*q + q**b - 2 + 11. Calculate w(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 61 a factor of 97301161?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(2016)*-1 - (sqrt(14) + 1*sqrt(2016)))\/(sqrt(567)*2 + (sqrt(7) - (sqrt(175) - -3*sqrt(175)))).\nAnswer: 25*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 + 6 = 4*a. Let y be (3 - -1) + (0 - -5)\/(50\/(-850)). Put y, 5, a, -5 in decreasing order.\nAnswer: 5, a, -5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = 30*o**3 + 45*o**2 - 18*o - 1841. Let n(d) = -8*d**3 - 11*d**2 + 4*d + 460. Let s(u) = 9*n(u) + 2*r(u). Differentiate s(k) wrt k.\nAnswer: -36*k**2 - 18*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*i - 79916980 = -35830644 + 69053664. What is i rounded to the nearest 100000?\nAnswer: 11300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = -12*t - 15. Calculate f(-2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 43128416.501 + 10.\nAnswer: 43128426.501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sum -1541743 and 3.\nAnswer: -1541740","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -145\/276 and -85\/18?\nAnswer: 828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*x = 2*i - 10, -i - 9094*x = -9090*x - 15 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.0372 + -40.34.\nAnswer: -40.3772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1392*v + 209 - 690*v - 697*v.\nAnswer: 5*v + 209","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 326741308 is divided by 46?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = -443*k + 974. Calculate m(5).\nAnswer: -1241","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 435197 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = -2*o - 63*o**2 + 17*o**2 + 18*o**2 + 33*o**2 + 55*o**2. Let c(i) be the second derivative of -i**3\/3 + 2*i. What is d(c(w))?\nAnswer: 240*w**2 + 4*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1137\/4 + -1295\/4. What is the common denominator of 15\/(-6) - -1 - (-134)\/32 and l?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 29205931, 58411859, 87617777, 116823679, 146029559, 175235411?\nAnswer: 204441229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 225 and 30025?\nAnswer: 270225","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*x**4 + 336*x**3 - 15231*x**2 - 24136*x - 8580 = 0. What is x?\nAnswer: -55, -1, -6\/11, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h + 16 = -j + 3*j, 2*h - 4*j - 32 = 0. Solve -3*u = -12, 4*o - 4*u = -2*u + h for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) be the second derivative of 0 - 9*u + 1\/3*u**4 - 2*u**2 + 0*u**3. Solve l(v) = 0 for v.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 less than -232?\nAnswer: -231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 0 - 1)*(0*s + 0*s - 4*s**2)*(s**2 + 15*s - 29*s + 13*s).\nAnswer: 8*s**4 - 8*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 6167?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 66.17688ms in microseconds?\nAnswer: 66176.88","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*q = -101 - 155. Let w = 67 + q. Let y(k) = 3 + 471*k - w - 474*k. Let l(p) = -15*p. Give l(y(g)).\nAnswer: 45*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.3 in 22, -62, 16, -2\/7, 0.1?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.02, 5, -1\/4, 883\/4 in decreasing order.\nAnswer: 883\/4, 5, -0.02, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 0, 24.3, -4, -202?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = 5*l + 88. Let x(n) = 5*n + 64. What is 2*k(f) - 3*x(f)?\nAnswer: -5*f - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 524 + -2032220?\nAnswer: -2031363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = -2*w. Let l be a(1). Does 3 divide 4\/l - (2 - 8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4770 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 29022?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = 10*b + 221. Let t(o) = o + 25. Let g(p) = 8*t(p) - x(p). Let v(f) = -f - 21. Determine 2*g(j) - 3*v(j).\nAnswer: -j + 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 36*d - 108 = 33*d. Calculate the remainder when d is divided by 26.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-59)\/3 + (-15)\/45. Let n = u + 26. Solve n = -2*w, 2*d - 4*w - 3 = -d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 107 minutes before 1:34 AM?\nAnswer: 11:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = 2*v**2 - 12828*v. Let y(n) = 7*n. Give y(d(l)).\nAnswer: 14*l**2 - 89796*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve q = -3, -144*u + 0*q - q - 94 = q + 165 + 35 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = 14*c - 653. Let g be z(47). Solve 0 = -5*l + 4*d + 25, -5*l - g*d - 15 = -d for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(228)*4*-3 - sqrt(228))*4)\/(sqrt(1452) - 1*(sqrt(1452) + 2*sqrt(1452))).\nAnswer: 26*sqrt(19)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l = 2*l + 5, -q + 2731 = -5*l. 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 the value of (-111 + -3 - (-152 + 132)) + 2 + -3 + 11?\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -455, -528, -601, -674, -747, -820?\nAnswer: -893","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 20 a factor of 66662?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) be the third derivative of 17*g**5\/15 + 19*g**3\/2 + 37*g**2. Differentiate x(k) wrt k.\nAnswer: 136*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(1100)*-3 + sqrt(1100) + -5.\nAnswer: -20*sqrt(11) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -1174 - -1179. Which is the smallest value?  (a) 4  (b) -1  (c) 10  (d) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z = 5*j - 6*z + 113, -4*j - 88 = -2*z. Let u = 28 + j. Solve 2*l + u = 11 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 128110*i - 128009*i + 3232 = 0 for i.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1.1 * -4851674.\nAnswer: -5336841.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 4479 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 (base 3) in base 14?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = 7*f**2 - 78*f + 84. What is the remainder when 144 is divided by j(11)?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -100, -384, -790, -1264, -1752, -2200?\nAnswer: -2554","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 10.8  (b) 5.251  (c) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Express 15*u**2 + 18*u**2 - 2*u**3 - 34*u**2 - 4 + 13*u**2 in the form v*u**3 + o + g*u**2 + q*u and give o.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 1296236 divided by -1082?\nAnswer: -1198","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 1314  (b) 2  (c) -5\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 27\/(-18)*784\/84.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Round -7622580.6 to the nearest 1000.\nAnswer: -7623000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {n: 2, j: 6, u: 3, m: 3, q: 1}. What is prob of picking 2 j?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s - 6*s = -20. Suppose -s*k + 0*k = -115. Let b = k + -11. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 1*-3*(-5 - 165\/(-9)). Let d be 20\/8*-2 + f\/(-4). Solve -1 = a - u - 2*u, d*u - 1 = a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (40\/222600*60)\/(120\/10*1\/14).\nAnswer: 2\/159","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 3.9811 * -3.3\nAnswer: -13.13763","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 9 - 6. Suppose -3*v - p + 284 = 3*p, 0 = 2*v - h*p - 195. Let a = v - 482\/5. What is the second smallest value in -0.3, 5, a?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 c and 1 w when two letters picked without replacement from ccwc?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Round -56482821.18 to the nearest 100000.\nAnswer: -56500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) 48  (b) 5  (c) -6\/5  (d) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 3, -0.08, 0.18, -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 63 - 62. Which is greater: -37.3 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -13\/605630 or -1?\nAnswer: -13\/605630","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -78, -6.\nAnswer: -78, -6, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -1.4*29333.8\nAnswer: -41067.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Work out 3 - -705924.2.\nAnswer: 705927.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 16\/(-2) + 5 + -5. Let s be 18\/(-8)*n\/(-12). Are s and 1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 175 minutes before 2:13 PM?\nAnswer: 11:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Work out 101.8 + 1.\nAnswer: 102.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3*10\/(-30)*3\/(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000007438 to 7 decimal places.\nAnswer: 0.0000074","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 31, 58, 71, 64, 31, -34, -137, -284?\n\"Answer: -i**3 - i**2 + 37*i - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) = 21*p. Let k(j) = -5*j**2 + 5*j**2 - 2*j**2 + 0*j**2. What is k(y(o))?\nAnswer: -882*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 5122 - -1103?\nAnswer: 10225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0.053 - 0.283. Let q = r + 0.73. Which is the closest to 2?  (a) -2  (b) q  (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -42806*a = -36642*a + 548596 for a.\nAnswer: -89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 264 minutes after 3:12 AM?\nAnswer: 7:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1806)\/(-774)*2\/(-7)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 21208843.\nAnswer: 17, 73387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2697647041?\nAnswer: 8821, 305821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express -97 - 95 + 3*k + 4*k**2 + 130 + k**2 - 3 + 3 + (3*k**2 - k**2 - k**2)*(0 - 2 + 3) + 2*k - 2*k + 2*k**2 as m*k + f*k**2 + v and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 95*j**2 + 101*j**2 - 202*j**2.\nAnswer: -6*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 138 a factor of 4860?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Express -258 - 259 - m + 299 in the form f + k*m and give f.\nAnswer: -218","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -20*n = 2*n + 110 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 236\/(-6)*(-2592)\/(-2304)*(-16)\/(-12)\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n - 4*g + 5462 = -3*g, g - 1 = 0. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = 79*n + 21. Determine p(-2).\nAnswer: -137","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 115 and 391?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1045?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -14017 (base 9) in base 3?\nAnswer: -111000121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2713?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4 (base 16) to base 3.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 4, 31, 58?\n\"Answer: 27*y - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) = -w. Let s(f) be the third derivative of f**4\/8 - 15*f**2. What is s(p(x))?\nAnswer: -3*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 m and 1 d when two letters picked without replacement from mmmmmdmm.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (59775\/(-45))\/(10\/(-6))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = -39*i - 1218. Give u(-31).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 5\/1667 - 88441\/30006. What is the common denominator of o and 89\/20?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (3900\/(-18))\/(-25)*(-6)\/(-4).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence yuyy when four letters picked without replacement from yuyyuyuyyyyyyuyyyy?\nAnswer: 91\/765","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Factor 31*m**2\/6 - 7789*m\/6 + 1293.\nAnswer: (m - 1)*(31*m - 7758)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is (-15 - 2 - (-104 - -79)) + -14 - -96?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -s**2 + 2*s**2 + 26*s**3 - 141*s + 143*s to l*s**3 + h + d*s + z*s**2 and give l.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -57, -225, -501, -885, -1377, -1977, -2685?\nAnswer: -3501","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m + 8 = -2*o - 0*o, 3*o = -2*m - 5. Let t(u) be the first derivative of 0*u + 2\/3*u**3 + 2 + u**m. What is the second derivative of t(c) wrt c?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -76 - -25?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 2 - -2142?\nAnswer: 2144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 391.9234ug in nanograms?\nAnswer: 391923.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n = 3*n - 4. Suppose 173 = n*p - 191. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = q - 10233. Let o(n) = 2*n. Determine z(o(s)).\nAnswer: 2*s - 10233","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -i = -18*t - 142, -4*t - 34 = -93*i + 94*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 111 - 121. Is -7 less than or equal to z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is one quarter of a second in milliseconds?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (20\/(-90))\/((-8)\/108).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 896\/(-63) - 2\/(-9). Let x(q) = q**3 + 15*q**2 + 8*q + 11. What are the prime factors of x(s)?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.1 * 591609.52\nAnswer: 59160.952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 156127511 is divided by 964?\nAnswer: 963","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = 3*w + 219. Let f(p) = 14*p + 876. Determine -9*c(d) + 2*f(d).\nAnswer: d - 219","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7106 = 3*s - 4*q, -q + 11651 = -5*s - 215. Let p be (2 + (-10)\/4)*3348. Let l = p - s. What is l rounded to the nearest one hundred?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 2056 - 2054. Let b = -7 + 5. Let l = 2.5 - 3. Sort a, l, b, -4.\nAnswer: -4, b, l, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -1167, -2 in decreasing order.\nAnswer: 2, -2, -1167","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*b + 16 = -4. Suppose u - 3*u - 16 = 4*h, -17 = b*h + u. Let i be ((-5)\/(-2))\/(h\/(-6)). Solve 3*q + 5*d = -18, q = -3*q + 3*d + i for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 221, 432, 643?\n\"Answer: 211*c + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2842*l**3 - 27*l**2 + 44*l.\nAnswer: 17052","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**1)**(-2)\/(s**(-11)\/(s**(-10)\/s)) assuming s is positive.\nAnswer: s**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -10.54470306 + -15853\nAnswer: -15863.54470306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -120*f - 116*f + 96 + 51*f + 184*f.\nAnswer: -f + 96","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence bhm when three letters picked without replacement from eehbhbhhqhbhmdee.\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 10  (b) -5  (c) -464\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 48326.88 decades to months.\nAnswer: 5799225.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from jjjuxjxjjxxjydy. Give prob of sequence du.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -13763 - -13781. What is the lowest common multiple of 990 and y?\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = -66*q**2 + 17*q - 3. Let l be x(-3). Let v = 651 + l. Solve v*b - b + 16 = -4*m, -4*b + 5*m + 33 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 21, 7 in decreasing order.\nAnswer: 21, 7, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x = 3, -3*l + x = 3 + 5. Let c(m) = -2*m**3 - 2*m**2 + 11*m + 15. Let t be c(l). What is the highest common factor of t and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.6503 less than 74939.71?\nAnswer: 74939.0597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 481 is divided by 76?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*r + 10 = 2*r. Suppose 4*s + 2*q - 4 = 0, 0 = 4*s + q - r - 4. Solve -5*p = 5*v + 10, -2*p + p - s*v - 1 = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*((sqrt(7) - (sqrt(700) - (2 + sqrt(700))))*-1 + (-4 + sqrt(847) + sqrt(847)*2)**2)*-3.\nAnswer: -4770*sqrt(7) + 137466","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence rd when two letters picked without replacement from {k: 1, h: 1, b: 4, d: 1, r: 1}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is (-7 + 124\/28)\/(3*(-3)\/21)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 96a (base 13) to base 11\nAnswer: 1233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from shsppspppsp. Give prob of sequence hs.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s - 2*k - 2 - 8 = 0, 5*s = -k + 6. What is the remainder when s + (3 - -53) + -3 is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -35552.04 rounded to the nearest one hundred?\nAnswer: -35600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort -92, -4, -1, 4, -7 in descending order.\nAnswer: 4, -1, -4, -7, -92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 13569643?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-10 + 11 + 9 + 2*m)*(29*m + 10*m - 18*m + (-2*m - 5*m + 5*m)*(6 - 2 - 3)).\nAnswer: 38*m**2 + 190*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 3 + b)*(b - 2*b - b)*(4*b**2 + 0*b**2 + 4*b**2).\nAnswer: -16*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Express -5*x**2 + 3*x**2 + 33*x**2 - 14*x**2 - 500 + 5*x**2 in the form p*x + m + f*x**2 and give m.\nAnswer: -500","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: (75\/(-150)*-1*7)\/(2\/(-4))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 4202402 - 10?\nAnswer: 4202342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*k + 116 = -3*a - 111, -3*k = a + 169. Let x be -1002*(8 - 3 - k\/(-12)). Which is greater: -335 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = p + 10. Let u be w(-8). Does 6 divide (-7 - u)*(-10)\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 2431793?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.3, 29768, -4\/5, 0.04 in descending order.\nAnswer: 29768, 0.04, -0.3, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*o = -4*o + k - 4, k - 8 = -3*o. Solve -o*c + 5*c - 5 = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*((5 + 3 + (sqrt(128) - (sqrt(128) + 2 + sqrt(128))*-4))*-2)**2.\nAnswer: -127488 - 27648*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = m - 3. Let r be w(3). Suppose -2*i - i + 6 = r. Let p = -7 - -27. Calculate the least common multiple of i and p.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:23 AM and 8:18 AM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -80 + 124. Calculate the highest common divisor of a and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 32\/(-72)*3\/(-2)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = -x**3 - 7*x**2 + 9*x + 11. Let y be j(-8). Suppose -2*u + y*u - 1 = 0. Suppose -2*d + 41 = u. What is the greatest common factor of 10 and d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in 14, -0.09, 1\/4, 4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-p + 0*p + 0*p + (33 - 33 + 3*p)*(-1 + 3 - 3))*(2*p + 3*p - 2*p).\nAnswer: -12*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -234.95 - -228. Let a = g - -7. Let s = a + -0.153. Round s to 2 dps.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 32, 23, 12, -1, -16, -33?\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 3 + 185. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:40 AM and 8:24 PM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 86.43237 grams in micrograms?\nAnswer: 86432370","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 5555\/10 - (-3)\/(-2). Suppose -5*r = 2*l - m, -l + 41 = 3*r - 292. What is the highest common divisor of 16 and r?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 2430107913 to the nearest integer?\nAnswer: 1344","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 9639\/312 + (-4)\/(-16). Let t = -348\/13 + r. What is the common denominator of t and -9\/10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 32682 - 32668 + 4*q - 25*q + 8*q + 9*q + 6*q.\nAnswer: 2*q + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 273890*-0.05.\nAnswer: -13694.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = r + 3*r, 5*r = -2*s + 7. Let g(k) = k**3 - k**2 + 3*k + 6. Is 50 a factor of g(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 62205.\nAnswer: 3, 5, 11, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -310 - 305 - 3*x - 91*x + 613.\nAnswer: -94*x - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 33*k**2 - 30*k**2 + 56*k**2 + 102*k**2.\nAnswer: 161*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17*w - 560 = -4*u + 21*w, 0 = 5*u + 2*w - 735. What is the highest common divisor of u and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2*f**3*h**2 + 198*f**3*q - 2*f**2*h**2 + f**2 - 94*q wrt f.\nAnswer: -12*h**2 + 1188*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = -10*m**2. Let o(w) = -120*w**2. Let p(f) = -2*o(f) + 25*x(f). Let v(i) = -i**2. Determine v(p(b)).\nAnswer: -100*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = y + 3. What is j(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n = -3*c + 97, -42 + 167 = 5*c - 4*n. What is the remainder when 95 is divided by c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 142521 (base 8) in base 3?\nAnswer: 2120021212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1.9 - 9166.\nAnswer: -9164.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*y - 6*y - 8*y)*(-8*y - 12*y + 9*y)*(-2 + 3 - 4).\nAnswer: -363*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) be the third derivative of 25*t**4\/24 - t**3\/2 + 2*t**2. Let w be p(-7). Let d = -99 - w. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 19.41644 milligrams in micrograms?\nAnswer: 19416.44","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) be the first derivative of -q**3 - 4. Let w(t) = t**2 + 2. Let d(m) = -4*m**2 - 6. Let k(a) = -d(a) - 3*w(a). Determine k(x(h)).\nAnswer: 9*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 164 and 7877712.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -5.47 + -22.65. What is w rounded to 0 decimal places?\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) be the second derivative of -t**3\/3 - 9*t. Suppose 2*c - 24 = -l, -70 = -5*c - 3*l - 2*l. Let h(k) = k. Calculate c*h(f) + 6*x(f).\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 17 - 13. Let g be (u\/8)\/(4\/24). What is the derivative of 5*z**3 + 77 - 70 + 0*z**g wrt z?\nAnswer: 15*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 50 minutes before 3:07 PM?\nAnswer: 2:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l**3\/3 + 1284*l**2 - 1648656*l + 705624768 = 0. What is l?\nAnswer: 1284","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 21237350 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -2  (b) -0.0926  (c) 4  (d) -1.48\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -72084 divided by 35.\nAnswer: -72084\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 31*o - 353422 - 147698 + 162662. Does 106 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((72\/(-12))\/1)\/(82\/697)?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.2?  (a) -2  (b) 2\/13  (c) -0.5  (d) 0.14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2419827 or -2419823?\nAnswer: -2419827","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = -t**2 + 5*t + 460. What is the tens digit of f(0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor c**4 + 3*c**3 - 22*c**2 - 24*c.\nAnswer: c*(c - 4)*(c + 1)*(c + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -60783, -112835, -164887, -216939, -268991?\n\"Answer: -52052*f - 8731","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 59 - 53. Solve -5*h = -a - 4 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*o**2\/15 + 175420*o + 2631298\/15.\nAnswer: 2*(o + 1)*(o + 1315649)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 310106734 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 176\/55*(29*(-1058)\/(-69368) - 2\/8)?\nAnswer: 8\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4\/(-16) + 5\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7 = v + 39942*c - 39941*c, 2*c = -8*v + 3*v - 26 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -32, -9, -4 in decreasing order.\nAnswer: -4, -9, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = 765*c - 247865. Determine g(324).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = -2*i**3 - 9*i**2 - 9*i + 2. Give w(-4).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 6 a factor of 201?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 175 and 920.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth smallest value in 0.4, -6\/7, 42, -0.3, -2\/1489, 0?\nAnswer: 42","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 210702 to the nearest integer?\nAnswer: 459","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 2 + 0)*(-1 + 3*a**3 + 1) - 11598 - 100*a**3 + 11598 + 438*a**3.\nAnswer: 335*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 31888121 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 4249 to the power of 1\/2, to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in 2, -0.4, -3, 0.05?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -99, -199, -297, -393?\nAnswer: -487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 104*v - 581980000 = 48*v + 49*v. Round v to the nearest one million.\nAnswer: 83000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = -451*x + 3533. What is v(4)?\nAnswer: 1729","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 120*q + 652 - 195652 = 0. What is the greatest common factor of q and 481?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1578?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -0.2  (b) 77  (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c**(-2\/7)*c)**(5\/11)\/(c**(-3)\/c*(c**(1\/4)*c*c)\/c*c))**45 assuming c is positive.\nAnswer: c**(28755\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = 10*k + 94. Let d be (-4)\/(24\/63) - 57\/(-38). Let x be r(d). Solve x*s - 18 + 6 = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + sqrt(27)*-4.\nAnswer: -12*sqrt(3) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 0.2  (b) 0.5  (c) 0.3  (d) 0.03112  (e) 449\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -n = -3*h - 4, -2932*h - 3*n = -2931*h - 2 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -n**5\/2 - 39*n**4\/2 - 105*n**3\/2 + 115*n**2\/2 + 123*n - 108 = 0 for n.\nAnswer: -36, -3, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(75) + (sqrt(75) - (sqrt(75) - (sqrt(75)*4 + sqrt(75)))) - sqrt(75)) + -2 - sqrt(75) - (-5 + sqrt(75)*-1))**2.\nAnswer: 150*sqrt(3) + 1884","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -19*y + 29 + 9 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*n - 162950 = 5*n - 20115. Is 55 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 220*u + 185*u = 45*u - 63*u + 5076 for u.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 1253 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = -3*k + 5. Let t(w) = 7*w - 11. Let v(p) = 5*h(p) + 2*t(p). Let s(j) = 2*j - 7. Give 6*s(b) + 13*v(b).\nAnswer: -b - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 202 is divided by 13?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 9\/(-36) - 197\/(-4) - 3 and 16?\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 51 divide 476697145?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 51*i - 124 = -22. Suppose i*r - 2207 = 2255. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 e, 1 t, and 1 p when four letters picked without replacement from qjtpjpee?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*i - 874 = 3014. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 37450.8l to millilitres.\nAnswer: 37450800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-1 + 0 - 1)*(-r**2 + r**2 + 2*r**3) + 32 - 3*r**3 - 32 - 54 + 54 + 37*r**3 to the form f*r**2 + d + g*r**3 + p*r and give g.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = d**3 + 15*d**2 - 12*d + 3. Let b be t(-12). Suppose g = x - 5*x + b, -2*g = -x + 138. Calculate the greatest common factor of x and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 206646 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 193979 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -3864, -5949, -8036, -10125?\n\"Answer: -o**2 - 2082*o - 1781","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Divide 6476 by 272.\nAnswer: 1619\/68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from lzzzlllllll. What is prob of sequence ll?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -128602.2 rounded to the nearest one hundred?\nAnswer: -128600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*m + h + 345 = 34*m, -98*m - h = -102*m + 45 for m.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is (-6)\/7*52*(-70)\/120?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g - 4*q - 490 - 1622 = 0, -g - 5*q = 544. Let b = 1078 + g. What are the prime factors of b?\nAnswer: 2, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 536574196 by -134143549.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c\/(c\/(c**(-1)\/c)))\/c)**35*c**(1\/6)\/(c\/(c*c**1))*((c\/c**(-2\/5))**(-12))**(-50) assuming c is positive.\nAnswer: c**(4417\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1225) - 1*sqrt(1225))\/(sqrt(448) - (sqrt(448) + (3*sqrt(448) + sqrt(448) - sqrt(448)))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*k**4 - 90*k**3 - 1505*k**2 - 2610*k.\nAnswer: 5*k*(k - 29)*(k + 2)*(k + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -3 and 16068?\nAnswer: -48204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d + 5*q + 20 = 0, 2*d + 4*q + q = 0. What are the prime factors of (-10)\/(-25) - 716\/d - -1?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 536*m - 272*m - 239*m.\nAnswer: 25*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = g**3 - 12*g**2 + 17*g - 13. Let a be x(11). What is the highest common divisor of a and 212?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 4712\/13 - 362. Is d greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (0 + -3)\/1*(-160)\/(-360).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 398 a factor of 3256038?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -3  (b) -0.3  (c) -4572  (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -927 and 55.\nAnswer: -50985","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"}
{"text":"Question: Let v = -8096 + 16338. What are the prime factors of v?\nAnswer: 2, 13, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let c be 5 - (-1 + (1 - -1)). Suppose c*p - 201 = p. Suppose -p = -5*w + 18. Calculate the remainder when w is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = -r**3 - 35*r**2 - 257*r - 67. Let y be p(-25). Solve -y*q + 24 = -112*q for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 47\/80 and -89\/32.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth biggest value?  (a) 3  (b) -2\/45  (c) -0.01  (d) 36.8  (e) -2\/7  (f) 1\/17  (g) -1\/6\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*n + 4*n + 6*n)*(-103 + 189 + 606).\nAnswer: 6920*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 1, -4, -1\/5, -0.036 in ascending order.\nAnswer: -4, -1\/5, -0.036, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = h**3 - 89*h**2 + 1170*h - 90. Determine n(73).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1731185?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 6323727 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 5.8 + 0.5. Let b = -16.3 + z. Is -4\/5 smaller than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 1734 + -1028. Let m = 708.99 - v. Let c = m + -2.5. Round c to one decimal place.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = -f**3 + 24*f**2 - 67*f + 196. Let i be o(19). Solve 33*t + 58*t + i = 0 for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2592?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -42 + 85. Let s = g + -7. Suppose -2*o - s = -5*c, -2*c + 4*c - 26 = -5*o. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.2, -3\/5, -1, 63, -0.01 in descending order.\nAnswer: 63, -0.01, -0.2, -3\/5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*t - 16*t - 34000000 = 0. Round t to the nearest one million.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -30 at least as big as -3072?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 31 and 49839?\nAnswer: 1545009","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 9 - -26. Is x a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -51 at least -7892429?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 16 + -20. Let i = -128 + 126. Which is the third smallest value?  (a) i  (b) -0.1  (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = 2*g. Let z(n) = -160*n + 392*n - 39*n - 17*n. What is z(w(p))?\nAnswer: 352*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = -z**3 - z**2 + 3*z - 4. Let x be o(-3). List the prime factors of (-12)\/(-30)*x*9.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 7343941*t**2*v - 4496*t**2 + 29*t - 2*v**2 + 7 wrt v.\nAnswer: 7343941*t**2 - 4*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:04 AM and 11:31 AM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is -30617731 at most as big as -30617733?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 90 and 38403135.\nAnswer: 76806270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 403 to the power of 1\/3, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 7.165495cm in kilometers?\nAnswer: 0.00007165495","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) be the first derivative of 0*u + 0*u**2 - 25\/4*u**4 - 185 + 7\/3*u**5 - 5\/18*u**6 + 5*u**3. Determine d so that h(d) = 0.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1390, -1359, -1352, -1369, -1410, -1475?\nAnswer: -1564","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 81 (base 10) to base 7\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*sqrt(384)*-5 - sqrt(384))\/(5*sqrt(144)\/sqrt(12)).\nAnswer: -104*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0 (base 8) to base 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 18\/27*7\/2.\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*(6*(sqrt(147)*2*2 + sqrt(147) + sqrt(147) - (-3 + -2*sqrt(147))) + -5 + -5)*1)**2.\nAnswer: 5376*sqrt(3) + 338752","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 26918043 and 129?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = -2*u**2 + 23*u - 42. Let j be i(9). Suppose -v = -5*s + 17, -j*s + 6*v - 8*v + 18 = 0. Solve 8*h = 3*h - w - 14, -4*h = -3*w - s for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.154833 rounded to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 59 + 23 = 4*k - 3*s, -4*k + 2*s = -84. Let i = -32 + 56. Is k < i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -267045 (base 9) to base 12.\nAnswer: -7a128","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in 5263.143 months?\nAnswer: 4.3859525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 71a + -10131?\nAnswer: -b613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = 13*s**2 - 3*s - 11. Let v be r(7). Does 20 divide v\/15 + (-2)\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 303891810 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:59 AM and 10:21 AM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-102)\/12*((-24)\/(-8) - 5). Solve -x - 23 = -8*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*j - 2*j = 2*q, -j = -2*q - 15 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*r - 0*r - 5*y - 21, -4*y = -2*r + 12. Let l = -8 - -13. Sort -1, r, -4, l in ascending order.\nAnswer: -4, -1, l, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-58)\/(-10) + (-1)\/(-5). Suppose 0 = 4*t - n - 2. Suppose -56 = -98*d + 12 + 30. Solve -t*w + d = -7 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = -w**3 + w**2 - 3. Let p(x) = x**2. Let h = 1 - 3. Let y = -3986 + 3987. Determine h*p(o) + y*a(o).\nAnswer: -o**3 - o**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 35190241 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 415066 - -4?\nAnswer: 415103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, -1, 3, 39228, -2 in decreasing order.\nAnswer: 39228, 3, 2, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) be the second derivative of -37\/6*n**3 + 0*n**2 + 0*n**4 + 0 - 27*n - 1\/2*n**5. What is the second derivative of k(c) wrt c?\nAnswer: -60*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 19171 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*h - 21 = -13 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -55c (base 14) to base 10\nAnswer: -1062","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 63223099 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -6, -11, -28, -63, -122, -211?\nAnswer: -336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = -6*n**2 + 1. Suppose -2*k = 5*q - 0 - 5, -5*k - 13 = 4*q. Suppose -q = -3*z - 0*z. Calculate m(z).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -101, -107, -115, -125, -137, -151?\n\"Answer: -q**2 - 3*q - 97","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -3419*p**3 + 1383*p**2 wrt p?\nAnswer: -20514","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*o + 3*b - 0*b - 501, -o + 2*b = -155. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -22203233 (base 6) to base 9\nAnswer: -1230313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 648.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -37\/47920 and 97\/136.\nAnswer: 814640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*k = 5*b + 8 + 22, 5*b - 25 = 0. Let h be ((-6)\/(-8))\/(k\/(-44)). Let p(a) = -a - 2 + 12 - h. Determine p(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 15390\/20 - 9\/6. Let y(u) = -j*u + 1532*u - 766*u. Let b(h) = -132*h**2. Calculate y(b(d)).\nAnswer: 264*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1623*o = -479*o + 63060 for o.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 46344?  (a) -0.03  (b) -2  (c) 1\/7  (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 22 - 17. Let o = -14 - -22. Solve 0*f - o = r*l + 2*f, -3*l = f + 5 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 p and 2 n when four letters picked without replacement from ccpknppkppooqpponpop.\nAnswer: 12\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 87554 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 46409, 92927, 139447, 185969?\nAnswer: 232493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 139 minutes before 8:27 AM?\nAnswer: 6:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 120412.\nAnswer: 2, 30103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -37, -77, -117?\n\"Answer: -40*x + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -35428 minus -0.857?\nAnswer: -35427.143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*g = 4*w + 9 - 25, 0 = -3*g - 3*w + 18. Let t be -1*2 - 28\/(-11). Is g >= t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 u, 1 y, and 1 f when three letters picked without replacement from uyyflfbj.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Are -8147 and -7453 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Work out -5 * -0.1.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 399 and 228.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -2*(((-91542)\/(-176))\/19)\/(2\/(16\/6))\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = o - 4*o. Let n be (14\/(-21))\/(o\/21). Suppose 13 + n = d. Is d a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = -a**4 - a**3 - a + 3. Let p(s) = -8*s**4 + s**3 + 2*s**2 + s - 37. Let j(g) = -n(g) - p(g). Differentiate j(x) wrt x.\nAnswer: 36*x**3 - 4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2 in -6, 1, 4, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**(-22)\/r*r\/r**(-15))\/(((r*(r*r\/(r\/r**(3\/4))*r*r)\/r)\/r)\/(r**(14\/9)\/r*r)) assuming r is positive.\nAnswer: r**(-295\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 15891, 31741, 47589, 63435, 79279, 95121, 110961?\nAnswer: 126799","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*v**3 + 26*v**3 + 13*v**3.\nAnswer: 35*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 7.934347nm in millimeters?\nAnswer: 0.000007934347","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 64 (base 11) to base 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1560 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 16614 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -99, -175, -241, -291, -319, -319?\n\"Answer: s**3 - s**2 - 80*s - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 4228.45 + -4?\nAnswer: 4224.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -875 + 1035.25. Round d to zero decimal places.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 87?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -6298, -22152, -48578, -85576, -133146?\n\"Answer: -5286*n**2 + 4*n - 1016","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ccmt when four letters picked without replacement from {m: 6, c: 6, t: 2, j: 4}?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:11 PM and 3:53 AM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = -157*d + 0*d**2 + 4*d**2 - 187*d + 0*d**2 + 344*d. Suppose 14 = 4*b - 30. Let q(l) = -2 - b*l + 2. Give q(p(w)).\nAnswer: -44*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18953 = 597*n - 589*n - 60169. Is n a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -153?  (a) -0.5  (b) -38.926  (c) 1\/2  (d) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 4\/(-12) - 13\/(-3). Which is the nearest to -0.1?  (a) -0.2  (b) l  (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -3117 (base 8) to base 2.\nAnswer: -11001001111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -1.1*-613\nAnswer: 674.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18*c + 15*c + 74 = 4*w, 19 = w + c. Differentiate -w*o - 108 - 31*o - 20*o - 135 + 52*o with respect to o.\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1031351?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 419 is divided by 53.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: (20\/(-28))\/((-725)\/2842)\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -1212021 + 1323?\nAnswer: -1210032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 373920 divided by 19\nAnswer: 19680","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = p**3 - 3*p**2 - 4*p + 9. What is the units digit of x(4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = 7*v**2 - 5*v - 11. Let g(z) = 15*z**2 - 10*z - 23. Let h(m) = -13*d(m) + 6*g(m). Let q(p) = p**2 + 2*p - 3. Let a be q(-4). Give h(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-88)\/20 - -4 - 6\/(-15)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -792*c + 795*c - 2200 = -4*d, -4*d = -c + 712. What is the remainder when c is divided by 202?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 87 divided by 59343\nAnswer: 29\/19781","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 284 and 35429.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q - 8 = -2*q. Suppose 0 = -54*h + 43*h + 33. Suppose -h*i - 2*d - d + 864 = 0, -576 = -q*i + 2*d. What is the tens digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -62 != -66?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 145403691 to the power of 1\/7, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is (6\/(-4))\/(-3)*-9*(-2970)\/(-243)?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is -197042 smaller than -197456?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -7511\/942 + 22\/157. Let m be (152\/(-18))\/(4\/24). Let h = m + 223\/6. What is the common denominator of h and s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 14 and 232568.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2518, 5012, 7506?\nAnswer: 10000","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 36.598824ns to hours.\nAnswer: 0.00000000001016634","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = 2*x + 5. Let t(j) = -62*j + 6. Give -3*g(w) - t(w).\nAnswer: 56*w - 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 138692?\nAnswer: 2, 34673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (3\/2)\/((-9)\/(-84)). Let c be 6\/d - 1353\/(-77). Suppose -c*p = -23*p + 10. Solve -o - 4*x - 16 = 0, 0 = p*o + 2*x - x + 11 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-f - f + 4*f)*(-433*f - 145 + 207*f + 222*f).\nAnswer: -8*f**2 - 290*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 3966 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -549 + 442. Put -1, 4, -0.4, u in descending order.\nAnswer: 4, -0.4, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*c**2 + 4*c**2 + 2*c**2.\nAnswer: 9*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) be the third derivative of -25*d**5\/3 - d**4\/12 + 397*d**3\/3 - 1697*d**2. Find the second derivative of y(i) wrt i.\nAnswer: -1000","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 39972347 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = -l. Let b(h) = -105255*h. Calculate b(j(x)).\nAnswer: 105255*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -239586995632.35199898 - -239587001904. Let u = g + -6271.712. Let q = 0.064 + u. What is q rounded to seven decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -6 + 118 - 112*y + 111*y in the form a + k*y and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = h**2 - 741*h - 37891. What is l(-48)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -6\/25 or 1?\nAnswer: -6\/25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = -y**3 - 10*y**2 - 12*y - 17. Let h be f(-9). Suppose 3*x = 4*n + 21, 2*x = 2*n + 6 + h. Calculate the remainder when 52 is divided by x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) be the second derivative of 5*o**3\/2 + 5*o**2 + 22*o. Let z be l(4). Let h = z + -39. Is h less than or equal to 32?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 140735 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*s = 95 + 113. What is the remainder when s is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from rjrrwrwjws. What is prob of sequence rj?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 521472.\nAnswer: 2, 3, 7, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -8542 + 8550. Let x(g) = -3*g - 35. Determine x(p).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000280054 rounded to four decimal places?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n - 5*x + 35 = n, 0 = 3*x - 9. Suppose 0 = -n*r + 7*r + 318. Is 27 a factor of (15 - r) + 2*1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 2\/5, -3, 8\/9, 0.68, 102?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 15458 and 9558?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -6 - -6. Suppose -4*t - t + 5 = l. Solve t = -f - 3 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = y**3 - 4*y**2 + 3*y - 5. Let w(m) = 2*m + 9. Let v be w(0). Let t(x) = -3*x + x + 3 - v. Let n be t(-5). What is b(n)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2935?\nAnswer: 5, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*k - 5*c = -41, c + c - 36 = 3*k. Let u = k + -58. Let o = -24 - u. Does 12 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -48173, -48127, -48085, -48053, -48037?\n\"Answer: -z**3 + 4*z**2 + 41*z - 48217","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2*c**2*j*n + 532*c**2*n - c**2 + c*j*n - 3*c*j + c + j*n + 171*j wrt c.\nAnswer: -4*j*n + 1064*n - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -3732377 (base 9) in base 12?\nAnswer: -81a314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -0.0336 times -0.86167\nAnswer: 0.028952112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 636 minutes before 4:20 AM?\nAnswer: 5:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 360 minutes after 10:27 PM?\nAnswer: 4:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*x**2 + 120*x**3 + 4*x**2 - 4*x**2.\nAnswer: 120*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 148456813*r**5 - 76*r**2 - 458*r + 752 wrt r.\nAnswer: 8907408780*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 13\/8 of a microgram in nanograms?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2090, 2086, 2074, 2048, 2002, 1930, 1826, 1684?\nAnswer: 1498","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q**(-2\/5))**(-2\/29))**20 assuming q is positive.\nAnswer: q**(16\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 13 - 8. Let o = 594.06 + -594. What is the nearest to -2\/5 in o, -2\/7, t?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 24545033 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 157 or 158?\nAnswer: 157","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -92*s**2 + 61*s**3 + 290*s**3 + 90*s**2 - 2757 - 2580 with respect to s.\nAnswer: 1053*s**2 - 4*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) be the second derivative of r**5\/20 + 2*r**4\/3 - 5*r**3\/6 - 5*r**2\/2 - 11*r. Let h be (-37)\/5 + (-2)\/(-5). Is d(h) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) be the third derivative of 0*o**6 + 0*o + 0*o**4 - 1\/20*o**5 + 0 + 1\/70*o**7 + 0*o**3 + 2*o**2. What is the third derivative of w(v) wrt v?\nAnswer: 72*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -9*n**2 - 44*n**4 + 44*n**4 - 9*n**5 wrt n?\nAnswer: -540*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = 26*j**2 + 1591*j + 7558. What is d(-56)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-12)\/8*30*(-10)\/(-15)*(-21)\/42.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"}
{"text":"Question: Let i = -53 + 118. Let l be (-12)\/(-18)*-9 + 19. What is the highest common divisor of i and l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 398 is divided by 132.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from jeeeleleejjljele. What is prob of sequence jelj?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-109*w - 2*w**2 + 109*w)*(-2*w**2 + 1 + 5 - 5).\nAnswer: 4*w**4 - 2*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {h: 1, l: 12}. Give prob of picking 1 h and 1 l.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort 780\/11, 92\/31, 3 in descending order.\nAnswer: 780\/11, 3, 92\/31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*j - 1925 - 320 = 0. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -6*(((-2)\/(-84))\/((-63)\/(-252)))\/(-2)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is (-6)\/(-2) + (52 - 4) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 12506710 to the nearest integer?\nAnswer: 3536","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -2188 - 9914a?\nAnswer: -a0327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*r**2 - r**2 - 10*r**2)*(24*r - 87*r - 49*r).\nAnswer: 1568*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Does 10 divide 19614710?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = 6*c + 4. Let n be h(-4). Let t = n + 28. Calculate the smallest common multiple of 12 and t.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 19698 - 46394 + 26696 + 3*l + 4*l**3 - 3*l.\nAnswer: 4*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -4.83 take away 6906734595?\nAnswer: -6906734599.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*t**2 + 0*t**2 + 2*t**2)*(-6*t**2 - 9*t**2 - 5*t**2).\nAnswer: 20*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -152aa (base 15) to base 6\nAnswer: -1243154","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -2265, -4455, -6669, -8901, -11145, -13395, -15645?\n\"Answer: l**3 - 18*l**2 - 2143*l - 105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = 2*o - 1. Let k(w) = -w - 5. Let q be k(-9). Suppose -17 = q*p + 19. Let u be -2 - 6\/(p\/(-3)). Give v(u).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = 29*a - 2. Let j be (2\/(-1) + 3)*(-758)\/(-379). Let m(h) = -4611*h + 319. Determine j*m(l) + 319*q(l).\nAnswer: 29*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = -6*j**3 + 288*j**2 + 7*j - 343. Give w(48).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = 7*i - 11. Let n(m) be the first derivative of -2*m**3\/3 + 66. What is z(n(l))?\nAnswer: -14*l**2 - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-7)\/14)\/(1\/36). Let p be (-6)\/4*z\/108. Which is bigger: p or 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify v**9*((v\/(v\/((v**(-30)\/v)\/v)))\/v)\/v assuming v is positive.\nAnswer: v**(-25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(68)\/(sqrt(4) + 2*2*sqrt(4) + sqrt(4))*3.\nAnswer: sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-1 + -3 + 3)*-5. Let w = -56 - -63. Solve -t*k - w - 8 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -211 + 225. Suppose b*g = 6*g + 4064. What is the hundreds digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 160 - 124. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 2206, 4397, 6596, 8809, 11042, 13301?\n\"Answer: s**3 - 2*s**2 + 2190*s + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 705 and 3995.\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 33 minus -0.12396?\nAnswer: 33.12396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -43\/950 + -3\/50. Let p = -499 + 500. Is p at least m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4*-17365.8.\nAnswer: -69463.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3*g + g + 2 - g + 16 to m*g + f and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -71\/355368 and 149\/109344.\nAnswer: 1421472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*i = -36*b + 1168 - 1165, -4*i - b + 1 = 5 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 502*z**3 - 340*z**3 + 283*z**3 + 322*z**3.\nAnswer: 767*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 18*n**2 + 9*n**2 - 41*n**2 + 19*n**2.\nAnswer: 5*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 + 1 + 1\/(4\/(-24))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 71280791 to the nearest integer?\nAnswer: 415","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = 5900*v + 2254. Does 50 divide t(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = 2*u**3 - 3*u**2 - 14*u. Let m be z(5). Let n be (3\/5)\/(3\/m). What is the greatest common divisor of n and 84?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8 - ((-1256)\/(-80) + -3 + -5)?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -42a445 - 6?\nAnswer: -42a44b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -3 + -4 + 3 - -10. Suppose z*f - 25 = f. Suppose -2*j = -3*a + 74, -a + 3*j + 8 + f = 0. Is a a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -1 + 1.1. What is the nearest to l in -4, 3, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15*d - 5*v + 2633 = -11*d, 0 = -d + 4*v + 674. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -17*l**2 + 62*l**2 - l**3 + 634*l - 47*l**2.\nAnswer: -l**3 - 2*l**2 + 634*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6 = -2*v, g = -3*g - 2*v + 22 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -635.1 - 0.06953531.\nAnswer: -635.16953531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = 3*g**3 + 5*g**2 + 6*g - 9. Let h(s) = -s**3 + s**2 + s - 1. Determine 6*h(a) - p(a).\nAnswer: -9*a**3 + a**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*q = 0, -2*n - 3*q = -6 + 2. Let z(f) = -4*f**n + 2*f**2 + f**2 + 4*f**2. Let d(r) = 31*r**2 + 1. What is z(d(j))?\nAnswer: 2883*j**4 + 186*j**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) be the third derivative of y**5\/300 + y**4\/60 - 7*y**2. Factor l(x).\nAnswer: x*(x + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4503000 rounded to the nearest 1000000?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0.045 - 0.545. What is the fourth smallest value in -3, -0.1, 3, z?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 38 - 98. Let a = 780 - 839. Do g and a have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q + 0*u + 13 = 2*u, -q - 5*u + 26 = 0. Suppose -12*m + 37 - 55 = -90. Solve z + m = q for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = a - 1 + 4 + 1 + a**3. Let y = -39 - -4. Let m = -35 - y. Give o(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -572 divided by -11?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2\/3*u + 0 - 4\/3*u**2 + 14\/3*u**3 - 8\/3*u**4.\nAnswer: -2*u*(u - 1)**2*(4*u + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 167, -1\/3, 3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = 2*z**2 + 16*z + 30. Let o be x(-5). Suppose -8 = -5*h + 4*u, o*h - 3*h + u + 9 = 0. Let m(j) = j - 3. Determine m(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.04261 in -5\/6, -7, 3?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1\/(-12))\/(1 - 35\/28)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h = 4*h + 1. Let r = h - -4. Suppose 2*l - 2*l + 4*l**r - 2*l**3 + 2*l**2 = 0. What is l?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = 22*k**3 - 2*k**2 + 1. Let f be m(1). Let j = -19 + f. Suppose -h + d = -228, -2*d + 217 + 259 = j*h. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -8.95 - 0.05. Let m = 11 + c. Let a = 1.05 - m. What is a rounded to one decimal place?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {c: 2, x: 1, o: 2, y: 1}. Give prob of sequence coyc.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 29487090 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 42502 is divided by 644?\nAnswer: 642","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-21)\/((-2142)\/(-24))*(-1)\/(-2). Let p = -3 + 3.02. What is the nearest to -1 in -1\/6, q, p?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 o, 1 h, and 2 c when four letters picked without replacement from {o: 6, h: 3, k: 3, c: 6}.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 408 minutes after 4:05 AM?\nAnswer: 10:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 22 and 605.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 12530 is divided by 1246?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1918 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t = -5*g - 3 - 2, t + 17 = 4*g. Solve -6 = -6*s + g*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 122 divide 334391?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from gngnngggjnngg. What is prob of sequence gggn?\nAnswer: 35\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -12 - -1 - ((-19 + -1 - -19) + -3).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 27282.399 minutes in hours?\nAnswer: 454.70665","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 16279356 divided by 4069839.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -82504 = -586*l - 31522 for l.\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 1594*a*x + 77*a + 4032*x + 849 wrt x.\nAnswer: 1594*a + 4032","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 1\/9  (b) 2\/17  (c) -3  (d) 4  (e) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {p: 4, t: 2}. Give prob of picking 2 t and 1 p.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 236 minutes before 4:18 AM?\nAnswer: 12:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 15 a factor of 149205369?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) be the first derivative of h**3\/3 - 2*h**2 - 38*h - 19. Let f(c) be the first derivative of p(c). What is f(-3)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -202*f - 480 = 225*f - 457*f for f.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-4)\/(-1) + -6 + 4 - -58. Suppose -7*v = 5*v - r. Solve -v*t + a = 6, -t = t + 3*a - 1 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from {j: 2, b: 3}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (36\/(-30))\/(21\/70).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -91*r - 15246 = 39*r + 62*r + 171*r for r.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 less than 13\/16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is -14 <= -976?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 77664?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t = -y + 31, 0 = -5*y + 3*t + 86 + 61. Calculate the highest common factor of y and 54.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 a factor of 391185?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-18*c - 10*c + 13*c - 2)*(-2*c**3 + 2*c**2 - 2*c**2 + (-c**2 - 3*c**2 + 2*c**2)*(2 - 2 + 2*c) + 0*c**3 - c**3 - c**3).\nAnswer: 120*c**4 + 16*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 19717.5 + -19717. Which is the fourth biggest value?  (a) 0.036  (b) -3  (c) -2  (d) 4  (e) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -5 + 2. Let s = v + 0. Which is the second smallest value?  (a) -2\/19  (b) s  (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 7\/6 and -157\/456?\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(240) - 2*sqrt(240)) + sqrt(240))\/(sqrt(540)\/sqrt(12)))**2 + (2*sqrt(72)\/sqrt(3))\/(sqrt(8) + (sqrt(8) - (sqrt(128) + sqrt(8)))*6).\nAnswer: -2*sqrt(3)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is e5 + d7?\nAnswer: 1cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 + 1 = 4*r + 3*y, -4*r + 5*y = -41. Is r\/(-6)*(-1275)\/10 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 3775 - 3777. Sort 1, -161, 3, q in increasing order.\nAnswer: -161, q, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k = f + 3*f - 30, -3*f + 25 = 2*k. Let w(v) = -13 + 6*v + 2 + 0*v + 0. Is 16 a factor of w(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:16 PM and 3:26 PM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = -o - 2. Let z(k) = -k - 3. Let n(l) = -6*i(l) + 5*z(l). Let p(t) = 1. Determine -2*n(x) - 5*p(x).\nAnswer: -2*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is (-6 + 3)*((-258)\/(-14))\/(345\/805)?\nAnswer: -129","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -74 - -70. Is 18 a factor of 4\/(-6)*(-58 - p)*3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -4005, -16009, -36015, -64023, -100033?\n\"Answer: -4001*s**2 - s - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Add together -64687341 and -68.\nAnswer: -64687409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 50\/(-8) - (-1)\/4. Let t be (5 + -2)\/(9\/z). What is the remainder when (-25)\/t + 4\/8 is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -761 - -770.41. What is n rounded to the nearest 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 75030402.53 to the nearest one thousand.\nAnswer: 75030000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -317172 - 7?\nAnswer: -317180","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = -2*u**2 - u. Let c(k) = k + 9. Let h = -31 + 24. Let j be c(h). Suppose -2*r + 3 = -m, -3*m = -j*r - 2*r + 7. Give d(m).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -97, -184, -271, -358, -445, -532?\nAnswer: -619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0 - 22 + 10 + 213*s + 10 + 330*s to w + t*s and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify t**(-30)\/(t**14\/t)*(((t**(-1\/46)*t)\/t)\/t)\/(t*t**(-9)*t) assuming t is positive.\nAnswer: t**(-1703\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*w + 2*n + 90, 7 = w + 5*n - 6. Let d = w + -12. Suppose 0 = -p + d + 5. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-8 - 10 + 27 - 11 - 3726*y)*(-3*y + y**2 + 3*y).\nAnswer: -3726*y**3 - 2*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 4007?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -54*a - 173 = -8*g - 55*a + 28, -3*g + 73 = -2*a for g.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = 13*u**3 + u - 2 - 56*u**3 + 3*u**2 + 5*u + 40*u**3 + 2*u**3. Suppose 19 = 5*m - 1. Determine c(m).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 i and 1 u when three letters picked without replacement from uiixxl?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-4)\/(-18) - (-23)\/(-63). Let q = 44 - 43.53. Let o = -0.07 + q. Put -4, o, f in decreasing order.\nAnswer: o, f, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 1 - j**4)*(3116*j + 494*j - 1642*j - 1).\nAnswer: -1968*j**5 + j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j = -2*j - 48. Let t be 1\/3 - (-4)\/j. Suppose -2*l = -4*q - 46, -2*l + t*q + 5*q = -47. 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 the third derivative of -2*n**4 + 198*n**2?\nAnswer: -48*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1632, -1633, -1634, -1635, -1636, -1637?\nAnswer: -1638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g - g = -5*g. Suppose -4*j - 10*s + 316 = -6*s, -4*s + 16 = g. What are the prime factors of -6*(15\/(-6) + 3) + j?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from xxvvvexekvkxek. Give prob of picking 2 v and 2 x.\nAnswer: 36\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + ((3*(3*(sqrt(500) + sqrt(500)*-2) + -4) + 0)*-5 + 0)**2.\nAnswer: 54000*sqrt(5) + 1016101","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: (-108)\/(-918) + (-16)\/(-714)*-1\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -4308708714 by -3.\nAnswer: 1436236238","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 14 + 6 + -15 - (2 + -1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1771141.\nAnswer: 109, 16249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is one sixteenth of a millisecond in nanoseconds?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 66248, 66230, 66184, 66110, 66008?\nAnswer: 65878","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 4 + 5. Let g(c) = -1 - 4 - 6*c**3 + 10*c + 7*c**3 + 12*c**2. Let t be g(-11). Calculate the highest common factor of t and o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 8?  (a) 0.16  (b) -0.2  (c) -2\/13  (d) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Add -4.174 and -31.\nAnswer: -35.174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is bb (base 16) in base 8?\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0243 to two dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 y when three letters picked without replacement from ppyyiyppppiyyyiypy?\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = j - 1. Let a be s(5). Suppose -3*f + 4*l + 90 = a, -l = 5*f - 105. List the prime factors of f.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 518270*b**4 + 47*b**3 - 3145*b**2 - 5274 wrt b?\nAnswer: 12438480*b + 282","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 1\/3, 5, 1\/5, 0.11, -0.064, 4862\/9, 3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.3 in 31, -3\/5, 5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 3 + -2*7*(-94)\/4. What is the second derivative of 35*k**3 - c*k - 2*k**3 + 314*k - 7*k**3 wrt k?\nAnswer: 156*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = s + 6. Let w be n(0). Let y be (-6)\/4 + 33\/w. Suppose 2*o - 5*r - 70 = -3*o, y*r = 0. What are the prime factors of o?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -9653132 or -9653136?\nAnswer: -9653132","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 3999435 a multiple of 437?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 275, 547, 819, 1091?\nAnswer: 1363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {v: 3, z: 3}. Give prob of picking 2 v.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -100 - -59\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 15*f - 22*f + 9*f - 4 + 19*f**2 to the form h*f**2 + w + r*f and give h.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = -s**3 - 2*s**2 + 2*s + 4. Let o(w) = w - 11. Let t be o(0). Let k = t - -8. Determine n(k).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -54\/188435 and -48\/1183.\nAnswer: 1319045","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 69.08 + -69. Let q = f + -0.58. Let u = 2.4 + -0.4. Which is the third smallest value?  (a) 0  (b) q  (c) u  (d) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v + 46 = -5*y + 14, 3*v + 26 = y. Is 2 smaller than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = 3*s**3 - 16*s**2 + s + 24. Let h be f(5). Solve h*g - g = -c + 11, -25 = -5*c for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 681 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (417 - 3*x - 439 + 4*x)*(-14*x**2 - 4*x + 0*x + 2*x)*(3*x - x - 4*x) to a*x**3 + k*x**2 + g + t*x + l*x**4 and give k.\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24 = -35*v + 59*v. Let n(j) = -5*j**3 + 2*j**2 - j - 1. What is n(v)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -365*w - 375*w + 1020 = -689*w for w.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) be the second derivative of 14*k**7\/15 - 14*k**6\/25 - 24*k**5\/25 - 4*k**4\/15 - 8*k - 3. Solve d(q) = 0.\nAnswer: -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 253698128?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 3, 15, 41, 87, 159, 263, 405?\n\"Answer: g**3 + g**2 + 2*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 4627444 and 9956.\nAnswer: 524","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 83 - 74. Solve o + 4*v + g = 4*o, -4*v = -2*o + 6 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 223 divided by -4?\nAnswer: -223\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 8696232799 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -6 or -1?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 4.944068 millimeters?\nAnswer: 4944068","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -5, -38, -13.4, 5, 0.5 in increasing order.\nAnswer: -38, -13.4, -5, 0, 0.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 326 + -1205.318?\nAnswer: -879.318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o = 5*f - 3*f - 332, -4*f = 5*o - 832. Calculate the remainder when o is divided by 57.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find u, given that 5*u**3 - 4515*u**2 + 1109400*u - 82687280 = 0.\nAnswer: 172, 559","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 2 - (-9 + 14) - (-1 + 3)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {v: 2, p: 17}. What is prob of picking 2 v?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 380862.\nAnswer: 2, 3, 2351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = 13 + 2*s - 12 - s - 2*s. Let v(l) = -2*l + 1. Let r = 3 + -6. Let z(k) = r*j(k) + 2*v(k). Find the first derivative of z(f) wrt f.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth smallest value in 7, 4, -34, -0.5, 34, -0.4?\nAnswer: 34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -19 + 19*m - m**4 + 21 + 25*m to q*m**4 + x*m + r*m**3 + l + o*m**2 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2 = -x - 43*n + 44*n, 23 = x + 4*n for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*i - 6 = 4*c, -5*i + 6*c - 7*c = 7 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence idwi when four letters picked without replacement from {w: 4, p: 4, d: 4, i: 2}.\nAnswer: 4\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 33*p + 3520 = 38*p. List the prime factors of p.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 53, 119, 197, 287, 389, 503?\n\"Answer: 6*j**2 + 48*j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 41\/4256595 and -2\/2364775.\nAnswer: 21282975","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -620*u + 2382*u**3 - 2653*u**3 + 1337*u**3 wrt u.\nAnswer: 6396*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -90*x = -635 + 107 - 12 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 43 + -41.76. Let n = -0.44 + g. What is the closest to 3\/7 in n, -0.2, -0.3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 24*g - 20*g = 25*g - 105 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 10361 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = -z - 7. Let k be ((-44)\/(-16))\/(2\/(-8)). Calculate the remainder when r(k) is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3*c - 7*c**2 + 3*c)*(23*c - 24*c - 15*c - 3) in the form t + i*c**2 + b*c**3 + r*c and give i.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.42?  (a) 0.4  (b) -0.14  (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = y**3 - 13*y**2 + 13*y - 12. Calculate n(12).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express -11156 + 0*p - 7*p + 2*p + 11159 + 8*p**2 in the form h*p + c + z*p**2 and give h.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -74*o + 261 = -1071 for o.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 38, 477, 1, -4, 2 in decreasing order.\nAnswer: 477, 38, 2, 1, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.167 + 13631.\nAnswer: 13630.833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 58 minutes before 12:02 PM?\nAnswer: 11:04 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*b + 5*b + 18 + 150 for b.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -322*r**3*v**3 + 41*r**3 + 3*v**2 wrt v.\nAnswer: -1932*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -929\/32, -118, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 196828211 to the power of 1\/6, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (180\/81 - 2) + 5\/(1260\/52)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be -3 + -11 - 0\/1. Let d = 18 + r. Solve d*j - x = -8, j + 2*x - 3*x + 5 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -37 - -20. Let x be (19 + c)\/((-4)\/10). Put x, 0, 1 in decreasing order.\nAnswer: 1, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = s**2 + 21*s + 11. Let h be z(-21). What is the greatest common factor of h and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) be the first derivative of 7*c**6\/360 - 14*c**3\/3 - 38. Let s(q) be the third derivative of y(q). Let j(d) = -4 + d**2 + 4. Calculate j(s(p)).\nAnswer: 49*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 126 minutes after 4:09 AM?\nAnswer: 6:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = -15*h - 34. Let l(r) = 1. Let m(c) = -k(c) - l(c). Let z(s) = -s - 2. Calculate 2*m(d) + 33*z(d).\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from iyiyyyyyyyiyiy. Give prob of sequence ii.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 18749 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -48*c + 40 = -45*c - 5*i, 3*c + 5 = -4*i for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 920150079?\nAnswer: 3, 306716693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 122 + 46 + 79 - 30*p + 22*p - 77.\nAnswer: -8*p + 170","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 2 - -99 - (2 - -3). Let d = v - 48. What is the tens digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1662 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: Suppose 21*n = 3297851 + 16806352. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 2224.132 + -2220. Let p = 394.032 + -394. Let b = p - f. Round b to 0 dps.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2838195 is divided by 258016?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 2c + -1b24a?\nAnswer: -1b21c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from lykhhbm. Give prob of sequence bkm.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = -106*y + 1288. List the prime factors of t(-58).\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 975694432 to the power of 1\/5, to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 b and 2 h when three letters picked without replacement from {t: 2, h: 9, b: 2}.\nAnswer: 36\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 4210 and 8040.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*h - 6*h = -58. Suppose h = 2*v + 9. Suppose v = -3*g + 4*g. Is 5 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -7.0298 to 1 dp.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 610186 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 + 1 - 4)*(1 + 5 - 4)*(-2204 + 2204 + 22*d) - 4*d + 4*d + 2*d.\nAnswer: -42*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-65*w**2 - 68*w**2 - 28*w**2)*((w - 3*w + w)*(-1 - w + 1) + 4*w + 2*w**2 - 4*w) - 3*w**2 + 0*w**4 - w**2 - 2*w**4.\nAnswer: -485*w**4 - 4*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**(-4)*i*i**(-5))**(-4) assuming i is positive.\nAnswer: i**32","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Factor 8*r**2\/7 - 4824202*r\/7 - 3618156\/7.\nAnswer: 2*(r - 603026)*(4*r + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -25528, -51047, -76566, -102085, -127604?\nAnswer: -153123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 8525 + -8549. Sort -5, 5, 4, u, 3\/4 in descending order.\nAnswer: 5, 4, 3\/4, -5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.4 in 0.5, 3, 121, 84, -6?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + sqrt(1300) + -1 + -3 + 2 + 5)**2.\nAnswer: 80*sqrt(13) + 1316","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 113 smaller than 158?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = -r**3 + 8*r**2 - 4*r + 8. Let k be u(7). Let x(h) = -h**3 - 11*h**2 + 13*h - 9. Let w be x(-12). Let n = w + k. Solve 4 = -4*f - n for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (((-8)\/2)\/(-1))\/(26\/364*-4).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -12485 or -3046023\/244?\nAnswer: -3046023\/244","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: (-3)\/(-2)*1\/(-2)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -0.3, 41, -23, -2\/13?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*c + c + a - 28800002, 5*a = -5*c + 36000010. Round c to the nearest one million.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 135 - 56. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:56 PM and 5:47 PM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 0.5  (b) 49997\/93  (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.4 in 11.8, -4, 2, -3, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = y**3 - 7*y**2 - 6*y - 10. Let h = 844 + -836. Give v(h).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 a, 1 f, and 2 o when four letters picked without replacement from {a: 2, m: 3, o: 2, f: 4}?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (4 - 5) + -191 + 192?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 69344, 138752, 208228, 277772?\nAnswer: 347384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*q - g - 64, 4*q + g + 82 = 3*g. Let x = q + 24. Let s(u) = 2*u**3 + 6*u**2 - 4*u - 6. Let f(k) = 2*k**3 + 5*k**2 - 3*k - 5. Give x*s(v) - 4*f(v).\nAnswer: -2*v**3 - 2*v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*j = -w - 3*w + 448, 0 = 5*w - 4*j - 564. Let h = -31 + w. Is h a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -14 or -50868\/3677?\nAnswer: -50868\/3677","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) be the second derivative of -1\/3*g**3 + 1\/20*g**5 + 0 - 1\/6*g**4 + 2*g + 5\/2*g**2. Let f be o(5). What is the highest common divisor of 28 and f?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-16 - (-26 - -5)) + (-1 - 9).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((4*(sqrt(2736) + 1)*-5)**2 - (-4*sqrt(2736)*6 + -4))*-1 + 4.\nAnswer: -1094800 - 9888*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -0.4, -4, 1, -1\/4, -19\/5, -8?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Does 788 divide 1000555908?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.12616 - -0.17384. Sort 2, l, -3\/2, -0.3, -2 in increasing order.\nAnswer: -2, -3\/2, -0.3, l, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 125 * -304.2\nAnswer: -38025","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m be -2*(-5)\/(10\/4). Let p be (-11)\/2 + 6\/4. Sort m, -3, p in increasing order.\nAnswer: p, -3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:27 AM and 8:55 PM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 1121330232 (base 4) in base 7?\nAnswer: 3063066","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-15)\/(-3) - (3080\/(-7) - 6). Let k = j + 84. Does 33 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = -t**3 + 2*t**2 + 7*t + 3. Give y(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify a\/a**(-11)*a*a**6*(a**(7\/4)\/a*a*a)\/a**(-15) assuming a is positive.\nAnswer: a**(147\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 15660 and 10179.\nAnswer: 203580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g**(-2\/13)\/g)\/g*g*g*g)\/g**(-1\/5)*g**(-1\/2)*g*g**(2\/3) assuming g is positive.\nAnswer: g**(863\/390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -9.96 + 4.96. Which is the closest to 160?  (a) -0.2  (b) w  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = -a**2 - 37*a + 175. Calculate the remainder when 569 is divided by c(-41).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 3, -0.05677, 0.1, -4?\nAnswer: -0.05677","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 1102 a factor of 380431?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -502 - -504. Solve 3*p = 3*i, q*i = 4*p + 7 - 1 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*r**3 + 1 + 3*r**2 + 4*r**3 + 2*r**4 - 5*r**3 as i*r**2 + w*r**3 + u + q*r**4 + k*r and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 13 + -8. Suppose -5*m - 111 - 33 = -3*v, i*m + 160 = -5*v. Let s = 43 + m. What are the prime factors of s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*b - 110 = -48*k + 130, 2*k - 10 = 5*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Does 6 divide 4642920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 0 + -3 + -60 - (-1 + -20 - -19)\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 21 divide 612717?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*h - 4*g + 263 - 33, -5*h + 3*g = 230. Let t = -30 - h. Solve -4*z = -0*z - t for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (((-19)\/((-57)\/60))\/(4\/(-4)))\/(-2). Solve 0 = -5*n - 7*l + 3*l - c, 2*n + 5*l = -4 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 117 + 7*p - 117 - 10*p + 4*p - 3*p.\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = y**2 - 7*y + 5. Suppose 3*i - 67 = -55. Determine m(i).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*k = -0*k + 20. Suppose 0 = 12*g - 13*g + 5. Suppose -g*y + 3*r = 4*r - 12, -2*y = 2*r - 8. Which is the third biggest value?  (a) -3  (b) k  (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = -p**3 + 21*p**2 + 22*p + 20. Let k be w(22). Suppose -2*s + 2*z = -k, s - 30 = -2*z - z. What is the greatest common divisor of s and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve y + 24 = -3*i, -186961*i + 5*y = -186959*i - 69 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from pppeeepepepppppp. Give prob of sequence epp.\nAnswer: 55\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = 8*u + 67. Let i be o(-8). Let y be 132\/18 + (-2)\/6. Let c = y + i. Calculate the highest common divisor of 80 and c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*x + 0*x - 3*x)*(2 - 2 - 1 - 4 - 2 + 5 + 3 + 2 - 4 + (-4 + 4 + 2)*(-6 + 5 + 2) + 6 - 2 - 2).\nAnswer: -3*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 23369667277 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: ((112\/(-12))\/(-2))\/((-8)\/(-12))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 162120946 divided by -92482?\nAnswer: -1753","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 2 - -10. What is the remainder when h is divided by 51\/(-34)*(-14)\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = -j**2 - 17*j - 2. Calculate a(-9).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xfxt when four letters picked without replacement from {x: 2, m: 1, f: 10, g: 1, t: 6}.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 171 minutes after 7:31 PM?\nAnswer: 10:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 3484 - 3479. Let p be (-259)\/(-9) + 4\/18. Suppose -f - 1 = s, 3*f = -3*s + 8*s + p. Solve 5*r = -c + 15, 9 = z*c + 6*r - f*r for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 205867.\nAnswer: 127, 1621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express 50 - 2*a - 49 + 2*a - 34*a**2 in the form k*a + i*a**2 + j and give i.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 68699064?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 174985?\nAnswer: 5, 79, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 1.542 - 6.09. Let n = q - -5. Round n to one dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 3\/(-72)*121 + (-16 - (-5 + -12)) and -1 + -83*(-2)\/16.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 36 a factor of 12491?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 1741 (base 11) to base 12\nAnswer: 1353","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*c + 4*s + 16662 - 16727, 0 = c + 3*s - 24 for c.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = 7*g**2. Let n(q) = 21*q**2 - 2*q - 2. Let r(p) = -41*p**2 + 5*p + 5. Let i(t) = -5*n(t) - 2*r(t). What is z(i(u))?\nAnswer: 3703*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 42*p**3 - 61*p - 112015.\nAnswer: 126*p**2 - 61","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3830286 is divided by 989?\nAnswer: 878","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*y + 9*y - 36. Let z be (-135)\/36*(-8)\/y. Solve -z*v + 8*v = 9 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together -3.2 and 23611136.933.\nAnswer: 23611133.733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*j = -2*j - 18. Suppose 13 = 5*u + j. Suppose -110 = -2*p + 5*n, -4*n - 106 = -2*p + u. List the prime factors of p.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 63373 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = -i**3 + 14*i**2 - 7. Let k be v(14). Let s = 4743\/4 - 1185. Which is the closest to 1?  (a) 2  (b) k  (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -3535 or -3545?\nAnswer: -3535","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 62490792 and 8680.\nAnswer: 1736","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Determine r so that -19*r**5 + 127762*r**4\/3 - 55970*r**3\/3 - 123280*r**2\/3 + 56027*r\/3 - 1494 = 0.\nAnswer: -1, 2\/19, 1\/3, 1, 2241","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -64.1*-0.605171\nAnswer: 38.7914611","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -37, -57, -77, -97, -117, -137?\n\"Answer: -20*j - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*s + s + 138*f - 138 = -33*f + 29*f, 4*s - 32 = -16*f for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 315805, 631607, 947395, 1263163, 1578905?\nAnswer: 1894615","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in thirteen quarters of a year?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 64487424.\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k\/(k\/(k**(2\/3)*k)))**(-1\/40))**(4\/35)\/(k**(3\/5)*(k**(-4)*k)\/k)**(-2\/15) assuming k is positive.\nAnswer: k**(-481\/1050)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -242253, -242343, -242503, -242733, -243033?\n\"Answer: -35*v**2 + 15*v - 242233","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f + 3*b - 2167 = 4727, 0 = b + 2. What is f rounded to the nearest one thousand?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/2, 5, -255, 1, -31.\nAnswer: -255, -31, -1\/2, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 2512858982 to the power of 1\/2, to the nearest integer?\nAnswer: 50128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.12 + 0.18. Sort 2, n, -0.3 in increasing order.\nAnswer: -0.3, n, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 + 1 + 3)*(-4*t**4 + 2 - 2) - 2*t - 4*t**4 + 2*t.\nAnswer: -36*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify t**(2\/9)\/(t**(5\/12)\/t) assuming t is positive.\nAnswer: t**(29\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 142 minutes after 1:24 AM?\nAnswer: 3:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 410368712.\nAnswer: 2, 13, 17, 232109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -7.8 take away -2.799232?\nAnswer: -5.000768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (-192)\/528 - 34042\/(-22)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -13 + (-81016)\/4510 - (-2)\/(-55)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = -680*s**2 + 347*s**2 + 342*s**2. Let w(g) = 7*g**2 + 4*g + 4. Let q(b) = b**2 + b + 1. Let x(d) = -4*q(d) + w(d). Determine x(r(c)).\nAnswer: 243*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = -p**2 + 945. Let j(l) = -2*l. Calculate n(j(b)).\nAnswer: -4*b**2 + 945","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 6 - 2. Suppose 5*v = -0*v - 20, -t*y = v - 4. Let n(w) = y*w**2 + 8 - 8. Let k(d) = 5*d. Determine k(n(h)).\nAnswer: 10*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = w**3 + w**2 - w - 1. Let a = -11 + 6. Let h(c) = -4*c**3 - 7*c**2 + 3*c + 7. Let i(u) = a*f(u) - h(u). Let m be i(-2). Solve 5*v - 10 = m for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:28 AM and 4:58 AM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1809*-16.\nAnswer: -28944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 10\/4*(-78)\/(-65) is divided by (27\/(-12) - -2)*-4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 404 minutes before 6:52 PM?\nAnswer: 12:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -5, -11, 11, 67, 163, 305, 499, 751?\n\"Answer: d**3 + 8*d**2 - 37*d + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = n**2 - 89*n + 2008. Let b be u(56). What is the greatest common factor of b and 5000?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*a**3 + 540*a**2 + 6339*a - 6876.\nAnswer: -3*(a - 191)*(a - 1)*(a + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Add together -466929367 and -14.\nAnswer: -466929381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in five quarters of a millennium?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.06 + 1.19. Round l to 1 dp.\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -145\/30492 and 41\/136?\nAnswer: 1036728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (11\/(-22))\/(92\/(-16))?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -1577 + 3?\nAnswer: -1574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l**1\/l)\/l)\/(l*l*l**(-20)) assuming l is positive.\nAnswer: l**17","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*g - 2 + 6. Is 1\/g - (-1293)\/6 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-104)\/(-16) - 3\/2. Suppose 0 = r*d + 15, -2*x + 3*d - 5 = -28. What is the remainder when 19 is divided by x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = -4*w + 43. Let f be c(9). Solve 0 = -3*x + 2*k + 11, f = x + 2*k - k for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f + 872 = 6*p - 5*p, 4*f = 3*p - 2602. Solve p*j + 35 = 865*j for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -53\/150 and -19\/4391790.\nAnswer: 21958950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = 4*y + 160. Give o(44).\nAnswer: 336","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 77246448?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Are 0 and 1\/64619349 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Round 11196848.29 to the nearest 1000000.\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -303\/58327 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 0.1034779ug?\nAnswer: 0.0001034779","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1837995 = -120*f - 551715. Does 27 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 8.778671 and -1.\nAnswer: -8.778671","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 m and 1 w when two letters picked without replacement from {b: 3, m: 4, w: 6}?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.019127992 to 5 dps.\nAnswer: 0.01913","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -39*j = 28*j - 67. Are -3 and j equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -155076 + 154905.077. Let p = -242 - -71. Let u = n - p. What is u rounded to 2 dps?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 45673.85 tonnes?\nAnswer: 45673850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 148 minutes before 10:04 PM?\nAnswer: 7:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-17)\/(-102)*42\/77?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 44 or -0.065935?\nAnswer: -0.065935","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = g**3 - g**2 - g - 1. Let c(z) = 0*z**3 + 2*z + 2*z**3 + 17*z**2 + 5*z + 69 - 62. Let u(b) = c(b) - 3*f(b). Is u(9) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -241 by -4.\nAnswer: 241\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) be the third derivative of c**5\/140 + 5*c**4\/168 - c**3\/21 - 8*c**2. Find f, given that v(f) = 0.\nAnswer: -2, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u**(-3\/2)*u)\/(u*u**1))**2\/(u**12*u\/((u*u**(2\/5))\/u))**(-27) assuming u is positive.\nAnswer: u**(1676\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -1, -19, -63, -145, -277, -471?\n\"Answer: -2*b**3 - b**2 - b + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 3\/5 of a microgram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {n: 6, w: 5, f: 7, s: 1}. What is prob of sequence fnn?\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 4590.309555 rounded to the nearest integer?\nAnswer: 4590","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Work out -753 * 15.\nAnswer: -11295","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = 2*d**3 + d**2 + 2*d + 10. Let z(c) = -c**3 - c**2 - c - 5. Let t(o) = 6*m(o) + 11*z(o). Calculate t(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 15\/3*1442\/35*-1. Let o = c + 222. Calculate the least common multiple of 24 and o.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: (54\/14)\/(693231\/(-147049))\nAnswer: -9\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1080 is divided by 70?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1 - -11 - (-17 - -21)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = -3*t**2 + 9*t - 40. Determine f(7).\nAnswer: -124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 1485 (base 13) in base 6?\nAnswer: 21450","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*b - 5*c + 12, -3*b + 5*c + 12 = 44 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = -17*b + 3. Let r(h) = -273*h + 49. Give -6*r(m) + 98*z(m).\nAnswer: -28*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 + 0 + 2 - -4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u + 0*u + 2 = v, 4*v + u - 28 = 0. Let t(w) = 7*w**3 - 7*w**2 + 4*w + 3. Let c be t(1). Suppose -c = v*n - 7. Solve b + n = 1 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*n = -1406 + 1910. Let f = n + 63. Solve v = 3*q + 7, f = 6*q - q - 5*v + 5 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 10, -1519, 4, -1363 in decreasing order.\nAnswer: 10, 4, -1363, -1519","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2383197086?\nAnswer: 2, 1191598543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = -2*f. Let m(g) = 150*g - 41. Let p(a) = 147*a - 48. Let u(v) = 7*m(v) - 6*p(v). What is o(u(z))?\nAnswer: -336*z - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -112 - -160. Suppose 2*k + 2*k + q = 4*z, 0 = k + 3*z - 8. Which is bigger: -0.1 or k?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 8 + -2*60\/16.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 490 and 630?\nAnswer: 4410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = -g**2. Let f(c) = 98735651*c. Determine f(u(k)).\nAnswer: -98735651*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 3\/(-9)*8\/6. Let x = 24241 - 193927\/8. Which is the nearest to 2\/3?  (a) x  (b) w  (c) -2\/29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -7414 - -7414. Solve -2*p - d - 3 = -f*p, -5*p = -3*d + 13 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = 12 + 11*s - 13*s + 3*s. Let d be m(-9). Solve 3*o = -t + 12, -d*o = -0*t - t - 12 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l*l**(-7))\/l**(-2\/3))**30\/(l**(2\/3)\/(l\/l**0)*l**2\/(l\/l**(2\/5))) assuming l is positive.\nAnswer: l**(-2416\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = m**3 - 7*m**2 + 7*m + 1. Let h be l(6). Suppose 43165 = 381*r - 358*r - 259. Let x(n) = h*n + 1888 - r. Let u(d) = -2*d**2. Calculate x(u(t)).\nAnswer: -14*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 divided by -45190?\nAnswer: 3\/45190","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 1\/(-3)*(-6 + 3). Let z(h) = -16*h**2 + 2*h. Let q(a) = -a - 1. Let i(v) = -q(v) - z(v). What is the lowest common multiple of i(j) and 4?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 93*m + 2163 - 396 for m.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 3282, 3284, 3286, 3288, 3290?\nAnswer: 3292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -6880, -16630, -26380, -36130?\n\"Answer: -9750*v + 2870","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 1844\/187 + -129\/17. Let m = -1 - -3. What is the common denominator of (2 - (-89)\/(-10)) + m and v?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -9, -17, -25, -33, -41, -49?\n\"Answer: -8*c - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1346 + -675. Let h = 8059\/12 - l. Find the common denominator of h and -67\/14.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.06*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 509 is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from fwwftu. What is prob of picking 2 f?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Does 119 divide 2148?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2 - 1422\/(-486)) + -5?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = -4 + 13 - 5*h**2 - 14*h - 16*h**2 + 5. Let a(p) be the third derivative of -p**5\/60 - p**4\/24 + p**3\/6 - 2*p**2 - 366. Determine 14*a(t) - x(t).\nAnswer: 7*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 14\/(-49) + (-6525)\/21. Let j = n - -580. What are the prime factors of j?\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = -5*b - 23. What is the remainder when t(-15) is divided by 28?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2 + 2 - 2*d**2)*(4 + 0 - 6) - 3022*d**2 - 1357*d**2 - 6497*d**2 to the form h*d + r + g*d**2 and give g.\nAnswer: -10872","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = -o**3 - 4*o**2 - 2*o - 3. Let v be u(-4). Suppose 0 = v*k - 48 - 12. What is the lowest common multiple of k and 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) be the second derivative of 0*z**3 + 3*z + 0 + 11\/2*z**2 + 37\/12*z**4. What is the first derivative of o(f) wrt f?\nAnswer: 74*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (0*1\/2)\/2. Suppose a = 5*x - 0*x - 240. Does 16 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 2680 - 2685. Sort 99, b, -2.\nAnswer: b, -2, 99","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 37 = -5*l - 88. What is the common denominator of (0 - l\/3)\/(343\/(-147)) and 2\/5?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 777192*w - 777198*w = 144 for w.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = -4*z**2 + z + 10. Give i(3).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = s**3 - 7*s**2 - 2*s + 10. Let o(l) = -4*l - 66. Let p be o(-18). Calculate v(p).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (7 + (-31)\/4)*48\/(-9). Solve m*k - 5 = -5*o + 4, -2*o - k + 3 = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2\/15, 225, 22 in ascending order.\nAnswer: 2\/15, 22, 225","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((1800\/(-112))\/(-25))\/(489\/1304).\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.2 in 0.9, 1\/4, -0.073, -5\/2, -14\/5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 196 less than 228?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = c**3 + 91*c**2 - 288*c - 403. Let j be q(-93). What is the greatest common divisor of j and 2051?\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-63 + 63 - 27*i**2)*(1 - 2 + 0)*(3*i - 29 + 29 + (-4 - 2 + 5)*(i + 2 - 2)) as y*i**2 + t + g*i + l*i**3 and give l.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((792\/16)\/99)\/(14\/12)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: (-39)\/26*(-12)\/(-18)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((-3)\/(-6))\/(2\/(-4)). List the prime factors of (-895050)\/(-1050) + (-4)\/(-7) + w.\nAnswer: 2, 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 6355496 and 1004059.\nAnswer: 1519","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = 62 + 8 + z**3 - 17 - 22*z**2 - 17*z. Let h be p(25). Let v(o) = -14*o**2 + h*o - 1503*o. Let m(c) = c. What is m(v(t))?\nAnswer: -14*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 57*h + 3 - 5*h + h - 2.\nAnswer: 53*h + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = j + 3. Let a be s(-1). Let v(i) = -i**3 - 63*i**2 + 415*i + 73. Let b be v(-69). Solve -4 = -a*m - b*k, -m + 11 = k + 4*k for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -2181124, -2181128, -2181134, -2181142?\n\"Answer: -p**2 - p - 2181122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = 19*h - 6. Let m(z) = -z + 1. Give 6*f(p) + 42*m(p).\nAnswer: 72*p + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 - 3 - -8 - 5.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put -1\/12, -1\/3, 272, 3\/5 in descending order.\nAnswer: 272, 3\/5, -1\/12, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 8029.\nAnswer: 7, 31, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 133111 and 2952644.\nAnswer: 32479084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 84 a factor of 162120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x - 1 - 1 = 0. Suppose -5*c - n = -63, 3*c - 7 - 36 = x*n. Solve 48 - c = 5*l + 4*p, -l + 3*p - 12 = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -61*c**3 - 65*c**3 + 185*c**3 - 57*c**3.\nAnswer: 2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in 1451645, 5, -7?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let -12*h**5 + 1675*h**4 - 40880*h**3 + 95835*h**2 - 26098*h - 30520 = 0. Calculate h.\nAnswer: -5\/12, 1, 2, 28, 109","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1253*p - 443*p + 1172*p.\nAnswer: 1982*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 14238935 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 367\/260 - 11\/52. Let -1\/5*x**5 + 0 + 4\/5*x**4 - h*x**3 - 1\/5*x + 4\/5*x**2 = 0. Calculate x.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 32, 30, 28, 26, 24, 22?\n\"Answer: -2*p + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Determine g, given that 29*g**4 - 5*g**5 - 19*g**4 - 15*g**4 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 3\/5, -34.89, 2?\nAnswer: -34.89","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -238884 divided by 2.\nAnswer: -119442","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -984.943 plus 8.1732?\nAnswer: -976.7698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 607?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) be the first derivative of 8\/27*u**3 + 1 - 5\/9*u**2 - 1\/18*u**4 + 4\/9*u. What is h in p(h) = 0?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 121478.\nAnswer: 2, 7, 8677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 128400142 to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = q**2 - 607*q + 9535. Give o(16).\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -6 + 1 - 0 - (-68 - -67)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = 4*j - 4. Let m(g) be the first derivative of g**4\/4 - g**2\/2 + g - 1751. What is k(b) + 4*m(b)?\nAnswer: 4*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 30358 = -495*v + 848*v for v.\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 347916 is divided by 277?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -11*n**5 + 287*n**4 - 5*n**3 + 12*n**2 - 26*n - 549.\nAnswer: -660*n**2 + 6888*n - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = 13*b**3 - b**2 + b - 1. What is the remainder when 295 is divided by t(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence jjee when four letters picked without replacement from {j: 3, e: 4}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1093564796?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 61 a factor of 67873419?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Express -69*y - 662*y - 187*y - 51*y - 215*y as f + t*y and give t.\nAnswer: -1184","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 325 minutes before 5:04 AM?\nAnswer: 11:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 4*c**2 - 7*c**3 + 19*c**3 - 14*c**2 wrt c?\nAnswer: 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) be the second derivative of -7*t**3\/6 - 11*t**2\/2 - 23*t. Let f be y(-2). Solve 6 + 3 = f*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p = -5*b + 14, -b - b = p - 7. Is 39 a factor of p + 183 - (1 - 6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 767608.\nAnswer: 2, 229, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 13 + -8. Suppose -21*w = -17*w. Suppose 2*o - 40 + 34 = w. Let h(d) = 2*d**3 + 6*d. Let i(q) = -q**3 - 3*q. Calculate l*i(c) + o*h(c).\nAnswer: c**3 + 3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -501 divided by 183.\nAnswer: -167\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express (-k - k + k)*((3 - 3 - k)*(1 + 0 - 3) + k - 6*k + 4*k)*(22 - 40 - 9*k**2 + 19) in the form c*k**4 + o*k**3 + h*k + v + z*k**2 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 0.511 and 1617?\nAnswer: 1616.489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = -8*h**2 + 1244*h + 3177. Let k be n(158). What is c in 15\/2*c + k - 1\/2*c**2 = 0?\nAnswer: -2, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:08 PM and 12:45 AM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify v\/(v**(-39)\/v)*(v**(-15\/7)*v)\/v assuming v is positive.\nAnswer: v**(272\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) be the second derivative of -z**7\/273 + 2*z**6\/195 + z**5\/130 - z**4\/39 + 3*z. Solve m(q) = 0 for q.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together -3 and -287231.\nAnswer: -287234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Product of -3 and -808.\nAnswer: 2424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -0.074 - -0.1174. Let k = 2.9566 + x. Which is the biggest value?  (a) 1  (b) -0.5  (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4950*-0.5\nAnswer: -2475","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.4 and -5598858.\nAnswer: -2239543.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q - 4*p + 7631 = 4*q, 0 = -5*q - 2*p + 7623. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 3327, 4, -3, 0 in descending order.\nAnswer: 3327, 4, 0, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + 4 + (sqrt(99)*-2 + 5)**2.\nAnswer: -60*sqrt(11) + 429","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -30*a**3*n**2 - 1707*a**3*u**2 + 11*a**2*u - a*n + 20*n**2*u**2 - 2*n**2 - 7 wrt u?\nAnswer: -3414*a**3 + 40*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -134705.774 rounded to the nearest 1000?\nAnswer: -135000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = -13*d**3 - 9*d**2 + 5. Let h(r) = -6*r**3 - 4*r**2 + 2. What is 7*h(u) - 3*z(u)?\nAnswer: -3*u**3 - u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -143 + 142. Let z be (5 + g)*(-1 - -2). Let q = 22 + -12. What is the highest common divisor of q and z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of (-412)\/(-40)*70\/84 and -23\/96.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 65 - 65. Solve t = -i*t - 4 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -0.01118  (b) 286  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -7a3c89 (base 13) in base 12?\nAnswer: -b76501","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4231544*r**2 + 4231549*r**2 - 8463069*r**2.\nAnswer: 24*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Express (-27*n - 4 + 11*n + 14*n)*(29 - 29 - 29*n + (-4 + 4 - n)*(-1 + 3 - 4)) as w*n + o + s*n**2 and give s.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 10216887 - 2276887. Let g be (1 - (-3)\/(-5)) + (-1188)\/(-30). Suppose g*r = 41*r + b. What is r rounded to the nearest one million?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1912*y - 1960*y + 127200 = 0. Solve y*l - 2646*l - 16 = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 9a8c (base 13) to base 2\nAnswer: 101010001001011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a**5*a**3)\/(a\/(a\/a**(-2\/5)))**(-1\/8))**(-26) assuming a is positive.\nAnswer: a**(-2067\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 39*p = 35*p + 56. Let d be (2 + 1\/(-2))*-2. Let s be (-1 - -22)*(-14)\/d. What is the highest common factor of p and s?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -8.088710319 + -2251.697889661. Let b = -2261.7866 - f. Let c = 2 + b. Round c to 7 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = 5*s + 12. Let c be j(-2). Suppose 5*h + 68 = 5*k - 62, c*h = -4*k + 122. What is the remainder when 86 is divided by k?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 69461870 rounded to the nearest 1000000?\nAnswer: 69000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 4485\/2093 + 478\/(-14). Sort -5, -3, s.\nAnswer: s, -5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 513335469 to the power of 1\/2, to the nearest integer?\nAnswer: 22657","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q = 5*j + 25, -2*j = -5*q - 6*j + 9. Suppose -3*u = -4*p - 1004, -q*u + 14*p = 13*p - 1645. Calculate the remainder when u is divided by 55.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = j**3 + 1. Let t be c(0). Let n(h) = 4*h - 7*h - 3 - h. Let o(b) = b - 1. Let m(k) = 2*k - 4. Let r(y) = m(y) - 3*o(y). What is t*n(a) - 2*r(a)?\nAnswer: -2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -295609 - 258136 = -331*c - 169785. What is the remainder when c is divided by 368?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -272 - -272. Let p = 0.4 + 0.1. What is the third biggest value in p, f, 9?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*l**3 + 12*l**2 + 18*l + 8.\nAnswer: 2*(l + 1)**2*(l + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 129 - 127. Suppose 2*v = 5*l + 13, f*v + 2*l = v - 7. Let d be (-27)\/63 - v\/(-7). What is the third biggest value in d, 1, -1\/4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify z\/((z*z\/(z**(-2\/37)*z*z)*z)\/z)*z*z*z**(-3\/4) assuming z is positive.\nAnswer: z**(325\/148)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -35*j - 525 - 26401 = -776451. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 5.3 + 40.7. Let t = -9.5018888 - 36.4981942. Let j = n + t. What is j rounded to four decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 n and 1 j when two letters picked without replacement from rnjjrerrjjj?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -29 + 43 + -37 - (2 - 2)\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {b: 1, h: 6, d: 4, v: 7}. Give prob of sequence bd.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 0.167*29\nAnswer: 4.843","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort 6, -7, 3, -4, 0, 82 in decreasing order.\nAnswer: 82, 6, 3, 0, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 25489 at least 25489?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-105)\/(-30))\/((-1)\/(-2)). Let o(l) be the first derivative of -3*l**2 - 10*l - 14 + 1\/3*l**3. Determine o(v).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 3?  (a) 140  (b) -0.5  (c) -3  (d) -24  (e) 2\/19\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -29.8 + 186.8. Let v = 169.9 - r. Round v to the nearest integer.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/27, 387, -5, 14 in descending order.\nAnswer: 387, 14, 2\/27, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -13344 - -13376. Solve -m*h = -100*h + 476 for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k + 32 = 5*k. Solve -4*h = -v - 3 + k, -5*h + 3*v - 1 = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 2730 and 18?\nAnswer: 8190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from vbgbbvvvbvbbvbbbvd. Give prob of sequence dbbb.\nAnswer: 7\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -44\/9 - -238\/45. Let y = -0.2 + -0.3. Let a = 0.9 + -1. What is the nearest to v in a, 3, y?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from uhhuhuu. Give prob of sequence hu.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1001672 and 4712.\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 126.6?  (a) 17  (b) 2  (c) 0.3  (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u + 10 = -38. What is the remainder when u is divided by (-6 - -9)\/(3\/13)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = 856*z - 6. Let x(s) = 171*s - 1. Let g(f) = 3*c(f) - 16*x(f). List the prime factors of g(-2).\nAnswer: 2, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = 33*u - 4. Let g(i) = 67*i - 11. Calculate -10*c(w) + 4*g(w).\nAnswer: -62*w - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = 2*d - 1. Let o(q) = -q**2 + 7*q + 10. Let f be o(8). Is v(f) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = -5*m + 15. Let p(k) = -3*k + 7. Let q be (-16 + 13 - -22) + -32. Give q*p(b) + 6*f(b).\nAnswer: 9*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = 11*f + 47. Let x(k) = 3*k**2 + 14*k. What is x(c(y))?\nAnswer: 363*y**2 + 3256*y + 7285","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1.8 - -2. Let f = 7 + -11. Sort -2\/9, f, q.\nAnswer: f, -2\/9, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -2, -12, -32, -68, -126, -212, -332, -492?\n\"Answer: -v**3 + v**2 - 6*v + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/382?  (a) -369  (b) 5  (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 20 - 11. Suppose 0 = 2*b - 4, r + 4*b = 5 + 6. What is the lowest common multiple of r and t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 159851.34 rounded to the nearest 10000?\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = -a. Let t(v) be the second derivative of -v**4\/6 + 19*v**3\/6 - 2*v**2 - 17*v. Let w(b) = -k(b) - t(b). Let h be w(9). Solve 3*i - h = 8 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 781633166 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-2 + sqrt(1584) + 0 - sqrt(1584) - 3*5*sqrt(1584))*-6 + -1)*1*4.\nAnswer: 44 + 4320*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-63)\/(-7)*(-7)\/21.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 128394 (base 11) to base 8.\nAnswer: 611347","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) be the first derivative of 3*m**2 - 7. Calculate k(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((k\/((k**(-1\/3)\/k)\/k))\/k)**(4\/11))**9*((k\/k**(10\/3))\/(k**(3\/13)*k))**(-50) assuming k is positive.\nAnswer: k**(79726\/429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.73 - 0.23. Which is the third biggest value?  (a) 3  (b) s  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:55 PM and 3:09 AM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 18.29 - 6.29. Let m = -5\/2 - -3. Do m and c have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 9\/2*((-20)\/(-105))\/2.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -1149 - -1153. Sort -5, -2, a, -85 in decreasing order.\nAnswer: a, -2, -5, -85","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -495*o = -491*o - 4 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 15\/4 of a tonne in kilograms?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 213 a factor of 7560045?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*c - 3*c + 1 + 2*c)*(-14*c + 21*c - 10*c).\nAnswer: 3*c**2 - 3*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in -0.05, 1\/2, 5, -13\/993?\nAnswer: -13\/993","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i*(i*(i\/(i**(2\/5)\/i))\/i)\/i*i*i*i)**(-18\/11)*i**(1\/6)\/(i*i**(1\/19)\/i) assuming i is positive.\nAnswer: i**(-46481\/6270)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -45, -144, -303, -522, -801, -1140, -1539?\n\"Answer: -30*q**2 - 9*q - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify x**18*(x\/x**30)\/x*x**(-31)*x**(-7) assuming x is positive.\nAnswer: x**(-50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 91 - -116677.4.\nAnswer: 116768.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 7 * -4022753\nAnswer: -28159271","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = -f**2 + 15*f + 169. Calculate t(-13).\nAnswer: -195","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = -3*o. Let a(d) = -8*d + 1. Let v(k) = 4*a(k) - 11*y(k). Calculate v(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 38 a factor of 206788020?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 n, 1 v, and 1 d when four letters picked without replacement from nvunmmdmnm.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"}
{"text":"Question: 5+-3.54\nAnswer: 1.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.2 and -4339?\nAnswer: 867.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 95 = 2*o + 4*m - 29, 4*o - 3*m - 237 = 0. Suppose 4*p - 52 = 2*c - 0*c, 5*p - 63 = 3*c. Calculate the greatest common divisor of o and p.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 3102 + -2823. What is the remainder when x is divided by 33?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 84313 - 168303 + 83990 - 3*b.\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = -17*f**2 - 35. Let i(n) = n**2. Suppose 3 = 255*x - 258*x. Let c(h) = x*j(h) + i(h). Differentiate c(l) with respect to l.\nAnswer: 36*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 44064.55ug to tonnes.\nAnswer: 0.00000004406455","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {l: 11, f: 5}. What is prob of sequence ff?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = k**2 + 16*k + 3. Suppose -38 = -3*o + 4*o. Let m = o - -22. Let y be p(m). Solve l + 6 + 0 = y*c, l = c - 2 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) = 64*w**2 + 8*w - 23. What is p(-4)?\nAnswer: 969","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 546.742 - 547. Let s = -0.25798328 - a. What is s rounded to six decimal places?\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 4 + (0 - -1 - 4). Suppose 2*t + 5*s - c = 8, -5*t + 7 = -3*s. What is the nearest to t in 0, -3, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = -j**3 + 2*j**2 + 44*j + 115. Let u be p(-4). Solve -44*z + u - 211 = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -1\/5, 7, 57, 0.1?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 10332221313 - 13223?\nAnswer: 10332202030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 5 + 214113022?\nAnswer: 214113031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*r + 315 = 37*r. Let y = 52 - 18. What is the remainder when y is divided by r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -15909402408282.2 take away 5?\nAnswer: -15909402408287.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -246c4 (base 15) to base 9\nAnswer: -186454","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3 = -116*r + 115*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -1516 - 2137?\nAnswer: -3654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2567013 + 2567013 - 27*q.\nAnswer: -27*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 = 2*a - 2*c - c, 10 = 3*a + c. Let v be -7 - 2*(-1)\/a. Let s be (v\/4)\/(3\/4). Which is greater: s or -3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (24\/(-20) - 0)*(-55)\/99?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/6 of a day in minutes?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18 = -4*i - 0*i + 3*z, -z - 11 = -3*i. Suppose -i*m = -2*j - 0*j - 159, -4*m + 77 = -j. Let c = -63 - j. Is c even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) be the third derivative of -a**6\/120 - a**5\/30 + a**4\/12 + a**3\/2 - 2*a**2. Let c(s) = -30*s**3 - 23*s**2 + 9*s - 1. Let h be c(-1). Calculate n(h).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -33700 times -0.5\nAnswer: 16850","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 62059\/18 + -3454. Let o be ((-66178)\/(-36))\/((-20)\/(-30)). Let c = 2760 - o. What is the common denominator of c and i?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-12)\/720*4)\/(-1*(-3)\/6).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in 21\/4 of a day?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 b and 2 x when three letters picked without replacement from xxxxxggxxxgxbxx?\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((7\/2)\/(-7))\/((-5)\/(-40)). Which is the closest to 6\/5?  (a) 0  (b) -3  (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 2, 54, 200, 488, 966, 1682, 2684?\n\"Answer: 8*u**3 - u**2 - u - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((-450)\/27)\/((-6)\/252). Suppose -c = -h + 631. What is the hundreds digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 1.51 and 5.\nAnswer: 7.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = 22*a**2 - a. Let y be b(1). Suppose 5*o + 5*j = 715, o + 2*o + j - 437 = 0. What is the highest common factor of o and y?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 371 divided by 7723.\nAnswer: 371\/7723","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = -t + 47. Is 14 a factor of k(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 21120 (base 3) in base 9?\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence vzwz when four letters picked without replacement from {w: 4, v: 10, z: 2}.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 19*l - 3530 + 328*l + 2*l**3 + 7054 - 3524.\nAnswer: 2*l**3 + 347*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 >= -1\/137?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 3890594?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(65) - -5*-1*sqrt(65) - -6*(sqrt(65) + -2*sqrt(65)))\/(sqrt(15)\/sqrt(27)*-5).\nAnswer: 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2503 is divided by 639.\nAnswer: 586","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -22559896 or -4?\nAnswer: -22559896","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*(0 + -3*(sqrt(1100) + -2 + sqrt(1100) + -1)**2) + -3 + 3.\nAnswer: -1080*sqrt(11) + 39681","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*m**2 + 21176*m + 56052872 = 0 for m.\nAnswer: -5294","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -2\/95 + 289\/190. Which is the nearest to -1?  (a) 1  (b) m  (c) -4\/5  (d) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 993?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*i + 554 = 2*b, b + 56 - 321 = i. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*w = 119 - 139 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: (241\/((-124115)\/(-2266)))\/(36\/(-20))\nAnswer: -22\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = -2*d - 3*c, -5*d + 5*c + 14 = 4*c. Suppose -3*q = -r - 2, d*r + 2*r - 4*q = 8. Solve -r = u - 6 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 91865.85 - -3478.\nAnswer: 95343.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.29 + 2.09. Let k = 0.2 - q. Let o = 1.5 + k. Put o, -1, -2\/7 in ascending order.\nAnswer: -1, -2\/7, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -1404378*w**2 - 7*w - 21922625.\nAnswer: -2808756*w - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7*s**3 + s**3 - 4*s**3 - 12*s**3.\nAnswer: -8*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Determine o, given that 2*o**4\/21 - 9144*o**3\/7 + 18126628*o**2\/7 - 108677480*o\/21 + 2586906 = 0.\nAnswer: 1, 2401, 11313","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/4 in -6, 10, 0.1, 633, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 63 + -63. Let y = 12 - 4. Let o = y + -5. Which is the closest to f?  (a) 0  (b) -0.1  (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 3 + (1 - 1)*11\/11. Let s = 18 - 18.3. Which is the third smallest value?  (a) 1  (b) h  (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -45*u**2 + 29*u**2 + 15*u**2.\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2 - 1) + 1 - (-24 - 5 - -21)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 27 + -25. Factor 3*s**3 - 4*s + 2*s**r + 9*s**3 + 2*s**2 - 4*s**4 - 8*s.\nAnswer: -4*s*(s - 3)*(s - 1)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -9 + 6. Let l = -2932.7 + 2933. What is the third biggest value in 3\/8, d, l?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -208*g**3 - 206*g**3 + 416*g**3.\nAnswer: 2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = 4*x - 1. Let u be l(1). Suppose -18 = -g - 2*g + 3*b, 19 = u*g - 2*b. Let o be 42\/(-105)*(-15)\/2. Solve -5*c = -4*t - o + 10, 3*c - t + g = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 19171 to the power of 1\/2, to the nearest integer?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 200396 a multiple of 119?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 7076214 (base 8) to base 7\nAnswer: 21603556","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 210 and 42.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = -4*d + 34. Let m be a(9). What is the tens digit of (-175)\/(-2) - -3*m\/12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*y, 3*o - 44*y + 40*y + 2124 = 0. Let m = 711 + o. Suppose -3*v = 3*j - 4*j, -3*v = -3*j + 6. What is the remainder when m is divided by v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 763.4044ug to kilograms.\nAnswer: 0.0000007634044","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 8809023 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = 14*b**2 + 56*b + 58. Let s(v) = 5*v**2 + 19*v + 20. Let f(j) = 3*p(j) - 8*s(j). Factor f(k).\nAnswer: 2*(k + 1)*(k + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = -t**2. Let j(a) = 12*a**2. Let s(l) = j(l) + 9*o(l). Let k(z) = -8*z. What is s(k(n))?\nAnswer: 192*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = -d**2 - 194. Let w(q) = -5*q**2 + 2. Give s(w(f)).\nAnswer: -25*f**4 + 20*f**2 - 198","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (0 + -3)*(-7 - (-156)\/18). Let c be ((-4)\/6)\/(10\/15)*n. Suppose 410 - 2095 = -c*l. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 14112.63 to the nearest 100.\nAnswer: 14100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 379 a factor of 18330550?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12 = o - 7*o. Suppose -o*c - u + 1 = 0, -2*c + u + 1 = -2. Let j be -2 - (3 - (12 - 3)). Solve -a = c - j for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 28*k**3 - 451040*k**2 + 1817433024*k - 8298842112.\nAnswer: 4*(k - 8052)**2*(7*k - 32)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5 - j + 5)*(-2*j**3 + 2*j**3 - j**3) + 2*j**4 + 2*j**4 + 0*j**4 + (-3*j + 2*j - j)*(11*j**2 - 11*j**2 - 4*j**3).\nAnswer: 13*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in u**2 - 3*u**2 + 0*u**2.\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -7469, -15070, -22741, -30518, -38437, -46534, -54845, -63406?\nAnswer: -72253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = 2*g - 7. Let v(i) = 8*i - 28. Let h(s) = -9*f(s) + 2*v(s). What is h(6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1500*87\/3132)\/((-20)\/(-24))?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 507 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 value of 1 - (-3 + (14 - (30 - 4)) - -87)?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2823?\nAnswer: 3, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -4456 - -4474. What is the remainder when 176 is divided by x?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2 - 2 - 5*y - 4*y to g + j*y and give j.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 259897 and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 196 divided by -28\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 8*h + 130 - 154. Solve -3*o - h*l - 7 = -5*o, -3*l - 9 = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*t - 2*b + 5 = 0, -14 = 5*t - 3*t + 4*b. Suppose 0 = -t*g + g. Solve -3*w = -g*w - 3 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 7473 - 3613. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 122\/(-8) - (-358)\/1432?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (13*(-8)\/(-364))\/((96\/(-105))\/(-4)).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 2057939463 to the power of 1\/8, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 703 is divided by 46?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -y**2 - 46131638*y - 532032006140761 = 0.\nAnswer: -23065819","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*q - 5*m + 5 = 0, -q + 22 = 4*q + 4*m. Suppose -5*y + 3*v - 8 = -68, -5*y + 60 = -5*v. Suppose 0 = 3*b - q*a - a + 6, -a + y = 4*b. Is b at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = -c**3 - 3*c**2 + 9*c - 20. Let z be f(-12). Suppose 0 = -5*j - 4*i + 2913, 2*j + 2*i = -i + z. What are the prime factors of j?\nAnswer: 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 11\/147 and -83\/840.\nAnswer: 5880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 631 + -631.00001369. Round d to five dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 3\/(-15) + (483\/(-936))\/(100\/(-40)). Let z(y) be the third derivative of 0*y + 0*y**3 - 1\/390*y**5 - b*y**4 - 25*y**2 + 0. Suppose z(q) = 0. What is q?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*d**3 + 0 + 0)*(d**2 + 0*d**2 - 2*d**2) - 42*d**5 + 5*d**5 - 100*d**5.\nAnswer: -135*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = 5*u**2. Let z(i) = 81*i**2. Let y(h) = -33*n(h) + 2*z(h). Let w(o) = 3*o - 49. Calculate w(y(p)).\nAnswer: -9*p**2 - 49","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/2, 1\/395, -0.5, -2, -4 in increasing order.\nAnswer: -4, -2, -0.5, 1\/395, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((3*(sqrt(441)*1 + sqrt(441)))\/(sqrt(576)*-1))\/((((sqrt(70) - sqrt(70)*-2) + sqrt(70))*6)\/(-4*sqrt(40)\/sqrt(4))).\nAnswer: sqrt(7)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Put together -0.3 and 270555.\nAnswer: 270554.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -279665, -559330, -839005, -1118690, -1398385, -1678090, -1957805?\nAnswer: -2237530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2691*h + 2232*h + 128405 + 2375 = -107*h for h.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 696.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = 3003*z + 2980. Calculate a(-1).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4 - (0 + 8 - (5 + 5))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -5 + 10. Let o = -248.8 - -245. Let r = -2.8 - o. What is the nearest to m in -4, r, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -7 in 12\/25, -3\/7, -5, 26?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 950*d + 937*d - 1200 = 1947*d for d.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 35  (b) 3\/5  (c) -2  (d) -1  (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -20 - 1?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 160 and 10800.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -315 + 5693\/18. Calculate the common denominator of -49\/6 and t.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 75*a*s*z**3 + 1212*a*s*z**2 + a*s*z - 2*s*z**3 - 2*s*z**2 + 154*z**3 wrt z?\nAnswer: 450*a*s - 12*s + 924","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*w**3\/11 - 245242*w**2\/11 + 7518322670*w\/11 - 22552760886\/11 = 0. Calculate w.\nAnswer: 3, 61309","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert 233130331 (base 4) to base 12.\nAnswer: 94591","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -1507 (base 8) in base 13?\nAnswer: -4c7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -32 + 26. Let o(a) = -11*a**4 - 5*a**3. Let r(t) = 45*t**4 + 20*t**3. Let m(q) = s*r(q) - 25*o(q). Factor m(h).\nAnswer: 5*h**3*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*g - 12 = -7*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -4341, -6968, -9595?\n\"Answer: -2627*p - 1714","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = g**3 + 6*g**2 + 4*g - 3. Let f be r(-5). Let i(s) = s**3 + 9*s**2 + 8*s + 1. Let d be i(-8). Find the common denominator of 53\/11 and d\/(10\/71) - f.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = -2*j**2 + 10*j - 8. Let x be n(4). List the prime factors of (-4 - (x + -6))*6.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -11222 - 121102122?\nAnswer: -121121121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*g - 12 = 5*b, 7 = -3*g + 347608*b - 347621*b for g.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 357763 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 8568.6 - 8569. What is the nearest to -2\/21 in -0.5, -0.2, -2\/13, r?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -20 divided by 9?\nAnswer: -20\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Put -3\/2, 2581, -0.5 in decreasing order.\nAnswer: 2581, -0.5, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 35 - -1 - (37984 + -38048)?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 88647*m**2 - 4*m + 307022 wrt m.\nAnswer: 177294*m - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = -4*h. Let a be s(-1). Solve a*m = -0 - 8, 3*x = -2*m + 8 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -6*y + 58 - 10. Suppose -5*h + 16 = -2*n, 5*h - 2*n - y = 4*h. Suppose -h*m = -4*i - 3170, 6340 = m + 3*m + 5*i. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = -4*g**3 - 151*g**2 - 1455*g + 8. What is d(-9)?\nAnswer: 3788","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -2467, 291 in decreasing order.\nAnswer: 291, -4, -2467","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 0.25, 9, -5\/3, 2\/17?\nAnswer: 0.25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 599 minutes after 11:05 AM?\nAnswer: 9:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 98, 99, 100, 101, 102?\n\"Answer: n + 97","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 167*u**3 - 164*u**3 + 0*u + 0*u.\nAnswer: 3*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {f: 1, s: 2, h: 4, b: 1, t: 3, x: 1}. What is prob of sequence fhx?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -135 + 589. Suppose -33*w + n = -932. Is 7 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 4  (b) 742  (c) 19.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 67 minutes after 11:04 AM?\nAnswer: 12:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {s: 4, m: 2, j: 4, r: 5}. What is prob of picking 2 s, 1 r, and 1 m?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 45698361, 45698355, 45698347, 45698337, 45698325, 45698311, 45698295?\nAnswer: 45698277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1943*k**2 + 1943*k**2 - 79*k**3)*((-6*k + 3*k + 2*k)*(-k + 0 + 0) - 2 + 2*k**2 + 2 + (-5 - 2*k + 5)*(-5*k + 5*k - k)).\nAnswer: -395*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -10362*-4\nAnswer: 41448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1840 and 1360?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2\/4)\/(((-454)\/78996)\/((-1)\/3)).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.7 - 0.3. Suppose 9*f = 40 + 5. Suppose 4*z - 20 = -5*y - 0*z, -f*z + 25 = 3*y. Which is the biggest value?  (a) 7  (b) y  (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -47.7 + 48. Sort -4, 2\/5, -0.2, v in descending order.\nAnswer: 2\/5, v, -0.2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 11 and 9.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.04 + -0.96. What is the nearest to 0.1 in -6, p, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 755 divided by 1\nAnswer: 755","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 36 a factor of 717?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*j = 17*j - 12. Let y(v) = 2*v - 6. Let l be y(j). Let f = l + 29. Is 8 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-1)\/(3 - (-2800)\/(-936)). Which is greater: -118 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -106790, -106171, -105554, -104939, -104326, -103715?\nAnswer: -103106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = 2*c, -5*m - 5*c + 26 = -79. Let z = 54 - -5. Calculate the remainder when z is divided by m.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k + 8 = 0, 1950 + 485 = 5*j - 5*k. List the prime factors of j.\nAnswer: 3, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (3\/18*186)\/(1\/5). Suppose 2*i = -3*i - 185. Let w = h - i. What is the tens digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (22 - (30 - 12)) + (-1 - -1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = -27 + 3*z**2 + 7*z**2 - 7*z + z**3 - 9*z + 2*z. Let r be c(-11). Sort -2, 0, r in decreasing order.\nAnswer: r, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*s = -10*s - a - 2, 3 = -5*s - a. Is s smaller than -31\/16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = -y - 1. Let k be f(3). Let l(i) = -i**2 - 8*i - 8. Suppose -4*u + 43 = -49. Calculate the remainder when u is divided by l(k).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = -m**2 - 12*m - 18. Let a be r(-10). Solve a*j + 8 = -2 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1119722201?\nAnswer: 13, 31, 2778467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(sqrt(18)\/sqrt(864) + -2*sqrt(363) + sqrt(363)).\nAnswer: -655*sqrt(3)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Divide -97350 by -2981.\nAnswer: 8850\/271","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5734*b - 5717*b = 255 for b.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -134 + 138. Sort 0, s, -0.3, -3\/17 in decreasing order.\nAnswer: s, 0, -3\/17, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -42 + 4 + 32 - -26.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j**2 - 23 - 10*j - 8*j - 1 = 0. What is j?\nAnswer: -4, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 + (-4 - (5 + -7)) - 2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = 38498*y - 49. Determine x(0).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) be the first derivative of -d**4\/4 + d**3\/3 - d**2\/2 - 2. Suppose 3*j - 12 = -0. Suppose 0 = -3*h + j*h. Give n(h).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 3 - 3.2. Let m = 0.5 - p. Let d = -87.3 + 88.3. Which is the nearest to d?  (a) -0.4  (b) m  (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -21 - -42. Let f be (-14)\/y - (-11)\/3. Let m(j) = j**3 - 5*j**2 + 5*j - 3. Calculate m(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 9 - 6. Let w(z) = m*z**2 + z**2 - 6*z**2. Let r(d) be the first derivative of 2*d**2 + 2. Calculate w(r(n)).\nAnswer: -32*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 32 a factor of 7648?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 57 a factor of 408 - -4 - (1 + (-1 - 0))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = 25*a - 48. Suppose 62 = 4*i - 3*u + u, -5*i = 2*u - 82. Let y be z(i). Suppose -y = -10*t - t. What is the remainder when 93 is divided by t?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 889 + -889. Let a(z) be the first derivative of q*z**3 + 0*z**4 + 3 + 9\/5*z**5 - 3\/2*z**2 + 0*z. What is the second derivative of a(v) wrt v?\nAnswer: 108*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 234 is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 h, 1 o, and 1 f when three letters picked without replacement from {h: 1, g: 7, o: 1, f: 8}?\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 25\/48 + -65\/48. Let w = 6 - 1. Suppose 3 = -3*l, p - l + 7 = w*p. Which is the smallest value?  (a) 23  (b) g  (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -6*h + 195 + 9. Let v be 980\/340 - (-4)\/h. Let o be (5 + -4 + -1)\/v. Solve 3 = s - o*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.13 - 0.48. Let w = n + -1.65. Which is the closest to 0?  (a) -3  (b) w  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-2)\/(2 + 0 + 5). Let p(m) = 2*m**2 - 1. Let g(n) = n**3 + 6*n**2 + 5*n - 1. Let c be g(-5). Let t be p(c). Which is greater: x or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (6\/34)\/((-6)\/4). Let m be (-10)\/35 - 9\/42. Which is the closest to m?  (a) -4  (b) 4  (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 482*l**2 - 18623 - 18621 + 37244.\nAnswer: 482*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 263 - 179. Let k = u + -39. What is k rounded to the nearest 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 971  (b) 0.4  (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = 22*k**2 + 3*k - k**3 - 14 + 2*k**3 - 35*k**2. Let w(a) = a**3 + 7*a**2 + 5*a + 7. What is the remainder when i(13) is divided by w(-6)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 7 + -2. Suppose n*k + 3 = t - 41, 4*t + 4*k - 56 = 0. Is t greater than 18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 33090572 is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -154 (base 9) in base 3?\nAnswer: -11211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify j**(3\/11)*j**(-1\/8)\/j*(j*j\/(j*j**(1\/4)\/j)*j)\/(((j\/((((j*(j*j**(-11))\/j)\/j)\/j)\/j))\/j)\/j) assuming j is positive.\nAnswer: j**(-889\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*o - 5*g = -10, -3*o + 3*g = -9625 + 9619 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-16)\/72*9\/12?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -2 or 1.1789509?\nAnswer: 1.1789509","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -330, -244, -106, 78, 302, 560?\nAnswer: 846","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1237, -343, -1923, -3503, -5083?\nAnswer: -6663","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hyy when three letters picked without replacement from {d: 3, y: 5, h: 5}.\nAnswer: 25\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 3629220 to the power of 1\/2, to the nearest integer?\nAnswer: 1905","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = y**3. Let t(l) = l**2. Calculate 3*g(c) - t(c).\nAnswer: 3*c**3 - c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = 57*f**3 + f**2 + 2*f - 6. What is the remainder when w(2) is divided by 46?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (4 - 0) + (8 - (3 + 5))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 26293529 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1516 and 145157?\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qq when two letters picked without replacement from {q: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((d\/d**21)\/d)\/d*d*d)\/d*d*d**42*d**(1\/26)\/(d*d*d*d**41))**(2\/85) assuming d is positive.\nAnswer: d**(-571\/1105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 0.7, -4\/5, 2, 492, 3314, 4?\nAnswer: 492","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 352 + -304. Calculate the highest common factor of b and 54.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 285965623?\nAnswer: 167, 1712369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 12 - 7. Let h = 29 - 24. What is the highest common divisor of g and h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 118\/6667*(-10)\/1. Which is smaller: s or 0?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -p**4 + 531*p**3 - 13394*p**2 wrt p?\nAnswer: -24*p + 3186","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -35.654+1.029\nAnswer: -34.625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 39\/3 + 0\/1. Suppose n = -3*z + 61. Suppose -10*h + z*h = 84. What is the greatest common factor of 14 and h?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 27 divide 374078574?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -180035.98 rounded to the nearest 100?\nAnswer: -180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 53*h - 7*h = 1581 - 339 for h.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -349*w - 60 = -352*w. Calculate the greatest common divisor of 252 and w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -k**2*v**3 - 4*k**2*v - 2*k**2 + 193*k*v + 2*k - 32845316*v**2 - 1274*v + 2 wrt v?\nAnswer: -6*k**2*v - 65690632","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -101111221 (base 3) in base 13?\nAnswer: -3649","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -962*w + 960*w - 4 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Put 17, 1, -1\/12, -20257, -0.4 in descending order.\nAnswer: 17, 1, -1\/12, -0.4, -20257","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 932*i + 19336 + 61710 = -722*i for i.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**(15\/2))**(-24)*(u*u\/(u*u**(-40)\/u)*u)**(16\/3) assuming u is positive.\nAnswer: u**(148\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 1 + 1597?\nAnswer: 1598","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 266\/21379 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 107, 459, 1097, 2063, 3399, 5147?\n\"Answer: 7*s**3 + 101*s**2 - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 4051276?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in 2.852409 hours?\nAnswer: 10268672.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 33762923 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -2\/9 or 2887.8?\nAnswer: 2887.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-3*1)\/((-6)\/8). Suppose -p = v, -34 = -2*s - 3*v - 82. Is (-240)\/s + 2\/3 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 976 divide 10594073?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 1864.4, 125, 3?\nAnswer: 125","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.101*0.1.\nAnswer: 0.0101","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1354830.813ns to weeks.\nAnswer: 0.0000000022401303125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 14687 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 27010871?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 29 and 492524951?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -16927 + 19991. Calculate the least common multiple of g and 4213.\nAnswer: 33704","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve l**2 + 318348654*l + 25336466375902929 = 0.\nAnswer: -159174327","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is -14691487 at least as big as -14691486?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = w + 4. Let d be o(-3). Let b be d*(-2)\/(-1 - -2). Let q(x) be the second derivative of 2*x**3\/3 + x**2 + 4*x. What is q(b)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1.72 - 1.72. Which is the closest to m?  (a) 1  (b) -0.5  (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -5203 or -37?\nAnswer: -37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 2549 + -1647. What is the remainder when l is divided by 101?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 50 = -4*c + 146. Let x = c - 2. Let q = x - -37. Is 17 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 30*v**2 - 14*v**2 - 19*v**2.\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1.696 - 9.\nAnswer: -7.304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 220395975 to the power of 1\/2, to the nearest integer?\nAnswer: 14846","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Express -3473*c - 179 + 179 - 1613*c as x*c + q and give x.\nAnswer: -5086","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -147006 (base 8) in base 11?\nAnswer: -36698","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x - i - 1985 = -3*i, x - 660 = -i. What is the hundreds digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: (0 - 81 - -14) + -12 + 3\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from nncnnninccniicnn. What is prob of picking 2 n?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((-2)\/(-2))\/(211\/2321). Which is the nearest to -0.1?  (a) -0.08  (b) h  (c) -2  (d) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = 10*i**2 + 30*i + 3. Let l(g) = -28*g**2 - 91*g - 9. Give -6*l(b) - 17*q(b).\nAnswer: -2*b**2 + 36*b + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 23\/((-10350)\/20)*(-120)\/152?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 33*(-1)\/(-8)*-2*-8 and 20.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {b: 1, j: 2}. Give prob of sequence bb.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = -4*f - 12. Let a be m(-8). Let o = -16 + a. Solve q + 15 = o*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -36 + (-12 + 5 - (-3 + -5)) - (-24 + 13)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 246 + 236. Is 20 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n = -4*n - 80. Let r = -126 - -817\/6. Find the common denominator of (18\/n)\/((-8)\/50) and r.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) be the second derivative of 5*x + 0*x**3 + 1\/2*x**2 + 1\/12*x**4 + 0. What is s(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -12.4 in 5, -4, -46, 4\/7?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -261.5698 plus -0.126?\nAnswer: -261.6958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*r**2\/9 - 2*r\/9.\nAnswer: 2*r*(r - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 1530826.5 rounded to the nearest 10000?\nAnswer: 1530000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -1173, -1256, -1385, -1554, -1757, -1988, -2241, -2510?\n\"Answer: m**3 - 29*m**2 - 3*m - 1142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-2)\/(((-2)\/4)\/(6\/(-138))). Which is smaller: h or 1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*k**4 - 32*k**3 - 76*k**2 + 624*k + 1530.\nAnswer: 2*(k - 17)*(k - 5)*(k + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-4 + 5)\/(1\/13). Suppose -3 = -4*u - 23. Let q be ((-1287)\/55)\/(1\/u). What is the greatest common divisor of q and t?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2137*u**6 + 8*u**2 - 134 wrt u?\nAnswer: -256440*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*t**3 + 0*t**3 - 3*t**3)*(4 + t - 3 + 1)*(28 - 13 - 28).\nAnswer: 39*t**4 + 78*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = -2*i**2 - 29*i - 36. Calculate z(-9).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Convert -144125424 (base 6) to base 5.\nAnswer: -1231410332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-192)\/(-15))\/8 + (-4)\/(-10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in seventeen halves of a centimeter?\nAnswer: 85000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.3 and 0.5.\nAnswer: -0.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 64.50281g in tonnes?\nAnswer: 0.00006450281","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 215*y - 76*y + 42*y - 92 wrt y.\nAnswer: 181","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**20\/k)**(1\/11)\/((k*k**(-9)*k*k*k*k)\/k*k**(-28)\/k) assuming k is positive.\nAnswer: k**(393\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 38690665.\nAnswer: 5, 13, 107, 5563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zlmm when four letters picked without replacement from qzmqlzlqzzqmlm.\nAnswer: 3\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve b - 6*b = 11 + 29 for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -8916*h**3 + 8916*h**3 + 251*h**5 + 97*h wrt h?\nAnswer: 5020*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 341254755?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 4905555*j**5 + 7*j**2 - j + 337222.\nAnswer: 294333300*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m be -1*((-360)\/(-10))\/12. Let u = -0.05 + -0.25. Let z = -0.7 - u. Sort m, z, 1 in ascending order.\nAnswer: m, z, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -15*52.0342\nAnswer: -780.513","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = 37*m + 3393. Determine x(-91).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**(-1\/4))**(2\/75)\/(x**(-3)*x*x**(-2\/11)) assuming x is positive.\nAnswer: x**(3589\/1650)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = c**2 + c - 39. Let g be s(6). What is the second derivative of -4 + 225*o**3 + 4*o - 3*o - o**2 - 237*o**g wrt o?\nAnswer: -72*o - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 21 - 19. Solve 0*k = s*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/8 of a millimeter in micrometers?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*l + 3*l = q + 5, 3*l = 15 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 421 * 18\nAnswer: 7578","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = -5*b**2. Let u(i) = -2*i**2 + 0*i**2 + 2*i**2 + 3*i**2. Determine x(u(s)).\nAnswer: -45*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = -r**2 + 7*r + 8. Let o be a(6). Let n = o + -10. Solve -2*h = -0*h - n for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 != -32\/389?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-392)\/280)\/((-1)\/(-5)) + (-4 - -10).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 96395.47 millimeters in kilometers?\nAnswer: 0.09639547","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -762 + 0?\nAnswer: -762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((1 - -1)*(7\/(-98))\/(-1))\/1. Which is the nearest to -24?  (a) f  (b) 3\/5  (c) 0.06  (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -528, -1258, -2000, -2760, -3544, -4358?\n\"Answer: -s**3 - 723*s + 196","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -44187*y**2 + 10*y - 11*y + 20 + 6 + 2*y**3.\nAnswer: 2*y**3 - 44187*y**2 - y + 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 76000 and 368.\nAnswer: 1748000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -0.4, -2\/7, 3\/197878?\nAnswer: 3\/197878","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 167354 and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Factor 8*y**2\/23 + 28638*y\/23 - 1393056\/23.\nAnswer: 2*(y - 48)*(4*y + 14511)\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k\/k**4*k)\/k)**(3\/4) assuming k is positive.\nAnswer: k**(-9\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 410*p = -1033 - 43247 for p.\nAnswer: -108","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -50*u - 32 = -34*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find n, given that 651*n**4 - 52725*n**3 + 287907*n**2 + 344433*n + 3150 = 0.\nAnswer: -1, -2\/217, 7, 75","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Does 97 divide 5767175?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -0.01, 2, 172\/11, 1, 55?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = -12200*c**2 - 21*c + 21. Let i(z) = 7*z + 169. Let t be i(-24). Let s be u(t). Round s to the nearest 1000.\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -85\/125802 and 23\/964.\nAnswer: 251604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort -57, -3, -8.\nAnswer: -57, -8, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {o: 1, m: 6, i: 3, x: 1, n: 1, c: 6}. What is prob of sequence ccnc?\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(152) - (sqrt(152) - (sqrt(152) - 3*(sqrt(152) - 5*sqrt(152)))) - -3*sqrt(152)*1)\/(2*sqrt(24)\/(sqrt(3) + sqrt(363))*-2).\nAnswer: -48*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r = 3*z + 20298, 55*z - 20298 = -3*r + 53*z. What is the remainder when r is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find p, given that -p**3\/2 + 157*p**2 = 0.\nAnswer: 0, 314","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -47352*z**4 + 18*z**3 + 6*z**2 - 54560805*z?\nAnswer: -568224*z**2 + 108*z + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = b**2 + 52. Let o(m) be the third derivative of m**4\/12 - 116*m**2. Calculate j(o(z)).\nAnswer: 4*z**2 + 52","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 23957 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1616643 is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = -7*v**2. Let c(o) be the third derivative of o**6\/90 + 5*o**3\/3 - o**2. Let u(h) be the first derivative of c(h). Calculate u(j(t)).\nAnswer: 196*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -20 + (1 - -4) + 19.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 6\/(-15)*-5 - -308. Let j = g - 157. Let y = -85 + j. Calculate the greatest common divisor of y and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 490064272?\nAnswer: 2, 29, 1056173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-405)\/110 + 0*(0 + -1). Let g be ((-1)\/(-3))\/(-3 - 799\/(-270)). Let k = s - g. Is 5 at most k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 63421175?\nAnswer: 5, 257, 9871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -116, -63, 12, 115, 252, 429, 652?\n\"Answer: m**3 + 5*m**2 + 31*m - 153","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -295*x**2*y**3 + x**2 + 146*x*y**3 - 55*y**3 + 7647317*y**2 wrt y.\nAnswer: -1770*x**2 + 876*x - 330","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 8\/(-60)*-5*2\/(-4). What is the closest to x in -1, 4, 2\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -15*z + u + 4 = -13*z, -z + 5*u + 2 = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -5 and -0.06668?\nAnswer: 0.3334","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.4304813 years in centuries?\nAnswer: 0.004304813","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*q - 19 - 5 = 0. Let g(u) = -6*u - 6. Let r be g(q). Solve -2 = s - r for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.02 - 0.406?\nAnswer: -0.426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2793*q + 1220*q - 529716 = 0 for q.\nAnswer: 132","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1712 and 4922.\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 3034*f**2 - 626 - 1253 - 780 + 10*f**2 wrt f?\nAnswer: 6088*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**(-3\/8))**(2\/5) assuming y is positive.\nAnswer: y**(-3\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from fxalwsx. What is prob of picking 1 s and 1 w?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -14.87 + 16.87. Which is the closest to 0.2?  (a) -1\/6  (b) 2\/31  (c) r  (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 58, 244, 554, 988?\nAnswer: 1546","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -601 divided by 230?\nAnswer: -601\/230","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = 4*r + 1. Let l be 2\/(-3) + (-2)\/6. Let x be g(l). Calculate the least common multiple of 11 and (-1 + -1)\/(2\/x).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*y + 1411 = -1309. What is the highest common factor of 187 and y?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) be the second derivative of 1\/20*s**5 + 55*s + 0*s**3 + 0*s**2 + 0 + 0*s**6 - 5\/14*s**7 - 89\/12*s**4. What is the third derivative of d(k) wrt k?\nAnswer: -900*k**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = -27*l**2 + 440*l + 887. Determine a(-2).\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 545 is divided by 476?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.2?  (a) 3\/4  (b) -69  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = -r**2 + r - 1. Let n(d) = 3*d**2 - 5*d + 6. Let x be 4 - (-5 + (1 - -3)). Let c be 4 - (x + 2) - -8. What is c*z(w) + n(w)?\nAnswer: -2*w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = -2*l**3 - 338*l**2 - 885*l + 18426. Let c be y(-166). Factor 63\/5*n**2 + c + 12\/5*n.\nAnswer: 3*n*(21*n + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(182)\/(sqrt(7)*3))\/sqrt(2) + sqrt(156)\/(sqrt(192)*3 + sqrt(192)).\nAnswer: 19*sqrt(13)\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) be the second derivative of m**5\/60 - m**4\/12 - 4*m**3\/3 + 74*m**2 + m + 5. Let o(j) be the first derivative of p(j). Solve o(f) = 0.\nAnswer: -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = -78*x**2 - 5*x - 10. Let i be f(7). Let p(m) = -m + 25. Let l be p(-8). Is 2\/(-11) - i\/l a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 5 - 665a5?\nAnswer: -665a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in six fifths of a gram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = -2*x - 14. Suppose p + 4*m + 0*m + 2 = 0, -38 = -5*p + 4*m. Calculate the least common multiple of p and t(-10).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v**2 - 1946*v - 946729 = 0. What is v?\nAnswer: -973","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10*i = -28 - 35 + 13 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0206 minus 8490631?\nAnswer: -8490630.9794","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -181*o**3*p**3*v - 6374*o**3*v + o**2*p**2 - 70*o*p**3 + 8*o - 5*p**3*v - v wrt p.\nAnswer: -1086*o**3*v - 420*o - 30*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 3 - (9 + 2 + -2 - -1)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1312786?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 5851.734 meters?\nAnswer: 5851734","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = -u**2 + 5*u - 25. Let x(v) = 0 + 3 + v - 3 + 2. Let o(b) = -3*d(b) - 21*x(b). Factor o(l).\nAnswer: 3*(l - 11)*(l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -77958, -311783, -701468, -1246995, -1948346, -2805503, -3818448, -4987163?\nAnswer: -6311630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -38422 divided by 2\nAnswer: -19211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express -11 - 7*w + 2 + 6*w + 0*w**2 + w**2 as f*w + k + i*w**2 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-2)\/2*(2 + -2). Suppose -5*m + 4*k = -84, u*k - 79 = -5*m - k. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -8.002 and 0.35.\nAnswer: -2.8007","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 21211211220020 (base 3) to base 10\nAnswer: 4169805","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -1111 + 1115. Let f = 0 - 1. Let v(a) = a**3 + a**2 + a + 1. Let q be v(f). Solve q = -n + 3*n - x for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.08, 0.1, -0.06 in increasing order.\nAnswer: -0.06, 0.08, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -2110130221 + 1?\nAnswer: -2110130220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in nineteen quarters of a kilogram?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 213 a factor of 6603?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -122a94 (base 12) to base 14\nAnswer: -7989a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put -534, 60, 5, 2, 258 in ascending order.\nAnswer: -534, 2, 5, 60, 258","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 44 + -37. What is the derivative of -9 + w - 9 - 8 + 21*k wrt k?\nAnswer: 21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-2)\/3*(-12)\/(-2). Let c be (-5)\/(3 + 1*u). Solve 3*z - 15 = c*i, 2*i + 0*z = z - 5 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2?  (a) -2  (b) 1\/3  (c) -10  (d) -24  (e) 0.42\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = -a**2 - a + 3. Let p = 3 + 1. Let v = 6 - 4. Suppose -2*s + 11 = 3*o + 3, 0 = v*o - p*s + 16. What is i(o)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ccloclllcclolcolcocl. What is prob of sequence lllo?\nAnswer: 56\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 305 minutes after 12:19 AM?\nAnswer: 5:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = 2*d + 4*b - 1, -b - 7 = 2*d. What is the units digit of 1\/((-20)\/25)*d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*k**2\/5 - 1727236*k\/5 - 5181744\/5.\nAnswer: 4*(k - 431812)*(k + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (2\/4)\/(2\/12). Let l be (-4)\/6 + (-44)\/33. Let p = l + m. Solve 0 = g - p + 5 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve t = 3*t - 5*i + 26, 6*i + 742 - 766 = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -126747, -253484, -380219, -506952, -633683, -760412, -887139?\nAnswer: -1013864","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = 7*c**2. Let w(b) = -3*b**2 + 2*b**2 + 0*b**2. Give w(a(v)).\nAnswer: -49*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Put together -76 and -4998621622.\nAnswer: -4998621698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 23747 - 21157. What is the smallest common multiple of t and 35?\nAnswer: 2590","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 16, 3, 2, -7\/2?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n - 2*g = -14, 0 = 4*g - 2*g - 8. Suppose 0 = -3*p + n, -8*r - 5*p = -3*r - 50. What are the prime factors of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = -a. Let v(y) = -14*y. Calculate v(x(n)).\nAnswer: 14*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:27 AM and 1:58 PM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-8)\/(-84)*(-1980)\/2640.\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) be the second derivative of -1921*a**3\/6 + 483*a**2 + 228*a - 1. Differentiate w(x) wrt x.\nAnswer: -1921","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be -7*-5*(-6)\/(-15). Let d(z) = z**2 - 15*z + 18. Let o be d(p). Which is the nearest to 4\/5?  (a) -0.5  (b) o  (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.5, 10.9, 2, 1, -2 in ascending order.\nAnswer: -2, 0.5, 1, 2, 10.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 1858 + -3b5?\nAnswer: 1473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 116910796?\nAnswer: 2, 31, 181, 5209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3 - 13*w**3 + 4*w**5 - 3 - 56*w**4 - 50*w**3 + 3*w**3 = 0 for w.\nAnswer: -1, 0, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u - 33 = -5*r, 721*r - 717*r = 3*u + 8. Let i = 0.2 - 2.2. Let s = 23.2 + -23. Which is the nearest to s?  (a) r  (b) i  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 7 - 2*l + 205580*l**3 - 56 + 3*l**2 - 205582*l**3 - 42 to the form i*l**3 + q*l**2 + a*l + o and give o.\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -34410 (base 6) to base 15\nAnswer: -16bc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -1.401 + 1.43. Let k = -37.971 - c. Let i = k + 37.742. Round i to two dps.\nAnswer: -0.26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-165)\/75*((-583)\/(-53) - 66)?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = -3*d**2 + 102928*d. Let a(g) = -g - 4. What is w(a(m))?\nAnswer: -3*m**2 - 102952*m - 411760","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -71\/54 - -409\/270. Factor r + 2\/5*o + 1\/5*o**2.\nAnswer: (o + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -21994, -87965, -197916, -351847?\n\"Answer: -21990*u**2 - u - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -318942, -318945, -318946, -318945, -318942, -318937, -318930?\n\"Answer: n**2 - 6*n - 318937","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 30 divide 2952450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Round 7.2292182 to 2 decimal places.\nAnswer: 7.23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -110*w + 26901 - 501 = 0. What is the smallest common multiple of w and 320?\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = 2*j**2 - 5*j - 2 + 3 - 4*j. Let l be q(7). Suppose 0 = -c - 8*c + l. Solve -b - 3 = -c*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1037.\nAnswer: 17, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/50 of a kilometer in millimeters?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in fourty-six fifths of a microgram?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*x - 277 = -7. Let a be (-282)\/x + 2\/(-9). Solve -2*s + 4 = -3*f, 10 + 0 = a*f for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*w = -7*w - 4724. Let z = w - -11701\/5. Let m = z + 71\/20. Find the common denominator of m and -113\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -1210\/63 - -136\/7. Which is the fourth biggest value?  (a) -3  (b) -2\/11  (c) 5  (d) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 9 - 9. Let p be (-6)\/45 - (-387)\/(-135). Let x(r) = 3*r + 10. Let q be x(p). Put d, 5, q in ascending order.\nAnswer: d, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (32\/48)\/((2\/(-3))\/(-1))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 + 7 - (0 + 1) - 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) be the first derivative of 0*c + 7 + 10\/21*c**3 + 9\/14*c**2 + 1\/28*c**4. Factor w(t).\nAnswer: t*(t + 1)*(t + 9)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = 2*q - 3, -5 = -2*n - q. Put -1\/5, n, -5 in increasing order.\nAnswer: -5, -1\/5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = 0 + 0 + 2*t**2. Let c(q) = -2*q**2 - 3*q - 3. Let g(z) = -3*z**2 - 7*z - 7. Let k(j) = 7*c(j) - 3*g(j). Determine i(k(h)).\nAnswer: 50*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = 2*l + 30. Determine z(-15).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) be the third derivative of -1\/60*v**5 + 0*v + 11\/24*v**4 + 7\/3*v**3 + 0 - 8*v**2. What is the units digit of x(11)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 5\/(-40) - 130\/(-16). Suppose 0 = -s*g - 17 + 2657. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = 61*u**2. Let x = 392 - 392. Let g(k) = -134*k + 135*k + x + 0. Determine h(g(j)).\nAnswer: 61*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 20\/5 + (0 - -1)\/1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h**2 - 56983*h + 2851650 = 0. Calculate h.\nAnswer: -57033, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -357.333 + -4.667. Which is the nearest to i?  (a) 2\/11  (b) 2  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = -t**4 - t**3 - t**2 + 2*t + 1. Let m(b) = 73*b**4 + 4*b**3 + 4*b**2 - 13*b - 14. Let q(c) = -4*f(c) - m(c). Find the second derivative of q(r) wrt r.\nAnswer: -828*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -3465853 + 2065853. What is h rounded to the nearest 1000000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -18 - -63. Suppose 0 = 6*m + m - 28. Suppose -t = m - 16. What is the remainder when q is divided by t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 5.5  (b) 2  (c) -6\/7  (d) -264  (e) -5  (f) 0.5  (g) 5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g - 3 = -u, -4*g = 2*u - 0*u - 12. Sort 9, -0.4, 2\/9, u in ascending order.\nAnswer: -0.4, u, 2\/9, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = -12. Let y(j) = -j + 44. Let r(o) = 21*w(o) + 3*y(o). Let u(t) = -t**2. Calculate u(r(f)).\nAnswer: -9*f**2 - 720*f - 14400","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1211 or 220?\nAnswer: 220","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) be the second derivative of -3*y**5\/20 + y**4\/3 - y**3 + y**2 + 4*y. Let s(l) = 4*l**3 - 5*l**2 + 7*l - 2. What is -5*i(o) - 4*s(o)?\nAnswer: -o**3 + 2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 5687 to the power of 1\/3, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (12*n - 7*n - 6*n - 16)*(-2*n + 3*n - 3*n) to the form r*n + d*n**2 + t and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand -5*f + 5*f + 4*f + (-2*f + 3*f + f)*(3 - 4 + 2) + 4*f - 5*f - f + 3*f - 5*f + 0*f.\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 3309534 and 1938?\nAnswer: 56262078","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 2142627 and 1426?\nAnswer: 98560842","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r - n + 11 = 2*r, 2*r = 4*n + 10. Let j be 2 + 1 + 3\/r. Suppose 0*w + j = 2*w. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 287935534.\nAnswer: 2, 143967767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is three fifths of a millennium in months?\nAnswer: 7200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17*q - 19*q + 1592 = 0. Is (-8)\/(-16)*(0 + q) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 37 + -36. Suppose -f - 5*q = 4*f + 5, -2*q - 2 = -5*f. Solve -j = -f*v - v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 15275964949 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 22309219993 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, 14, 6 in descending order.\nAnswer: 14, 6, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = 28*t**2 + 15*t - 209. Let y(v) = 56*v**2 + 37*v - 417. Let m(i) = -10*r(i) + 4*y(i). What is the second derivative of m(n) wrt n?\nAnswer: -112","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.0571 - 0.05625. What is k rounded to three dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 21027 to the power of 1\/2, to the nearest integer?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1537 + 1649. Which is bigger: q or -2\/7?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.3241 and 11?\nAnswer: -3.5651","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence oed when three letters picked without replacement from ndnpeoeoneeoof.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in -5, 0, -2\/19, 2\/9?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 24524.535 rounded to the nearest 100?\nAnswer: 24500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.48?  (a) -0.1  (b) 2191  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from nzznnlnnzkkns. Give prob of sequence kznz.\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) be the first derivative of 2*u**2 - 9163. Let h(c) = -3*c**2 - 69*c + 10. Give a(h(o)).\nAnswer: -12*o**2 - 276*o + 40","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is -1393 > -1392?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/33 in 2\/17, -1\/4, 4, -32?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r + 11 = 5*w, -4*r + 10 = 4*w - 10. What is the third derivative of 12*t**3 - 133*t**r + 18*t**3 + 4*t**5 - 33*t**3 wrt t?\nAnswer: 240*t**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -142, -891, -2928, -6901, -13458, -23247, -36916, -55113?\n\"Answer: -108*f**3 + 4*f**2 - 5*f - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 7939 to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = -23*w**2 + 435*w - 1075. Calculate k(16).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 3 - (7 + -3) - -1. Let a(b) = n*b**2 - 5*b**2 + 4*b**2 + 20 - 16. What are the prime factors of a(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = -6*l - 4. Let t be s(-5). Suppose 0 = -5*w + 92 + 103. Calculate the highest common factor of w and t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 43519 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 three tenths of a millimeter in micrometers?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) be the first derivative of c**4 - c**3\/3 - 3*c**2\/2 - c + 177. Give u(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6205567 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.04304 - 460156528.8?\nAnswer: -460156528.84304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {w: 6, t: 4}. What is prob of sequence ttww?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7645 is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -21167*n**3 - 3*n**2 + 21176*n**3 + 3*n**2 + 35.\nAnswer: 9*n**3 + 35","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 4.58 in 0.02, -2, -3\/7, -4?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 13926, 87419, 286896, 675351, 1315778, 2271171, 3604524?\nAnswer: 5378831","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = -2*x**3 + 4*x**2 - 4*x. Let b be z(0). Suppose b = 22*g - 1802 + 548. What is the remainder when 104 is divided by g?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*a = 17*w - 13*w - 660, 4*w - 672 = -2*a. What is the greatest common divisor of w and 272?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 7 divide 38790?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 16722 divided by 18?\nAnswer: 929","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {l: 1, c: 5, p: 5, a: 4}. What is prob of picking 1 p and 2 a?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Determine n so that 4*n**5\/3 + 176*n**4\/3 - 388*n**3 + 1784*n**2\/3 - 800*n\/3 = 0.\nAnswer: -50, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 793, 501, 209, -83, -375, -667?\n\"Answer: -292*l + 1085","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l + 9*l + 3*y - 11 = 0, 0 = -5*y + 10. What is the remainder when 54 is divided by 0\/(-2) + l + 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2421232 (base 5) to base 4.\nAnswer: 23002020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = -i**2 + 40*i - 44. Let h be g(39). Let z(n) = 4*n**2 + 18*n + 1. Let o(d) = 5*d**2 + 19*d + 1. Determine h*o(a) + 6*z(a).\nAnswer: -a**2 + 13*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 20*h + 2 + 278. What is the hundreds digit of (-12*2\/h)\/(1\/287)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 859?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (4\/(-3))\/((-6)\/18). Differentiate -4*y**n - y**4 + 6 - 6 - 1 with respect to y.\nAnswer: -20*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-y**2 + 2 - 2)*(0*y**2 + y**2 - 3*y**2)*(-705*y + 1300*y - 668*y).\nAnswer: -146*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*u + 72 = 13*u. Let h be (-15)\/10 - (-5)\/(30\/u). Put -65, h, 5 in decreasing order.\nAnswer: 5, h, -65","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = -o**3 + 64*o**2 + 140*o - 571. Determine l(66).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2*p**4 - 4937*p**3 + 61*p - 98.\nAnswer: -24*p**2 - 29622*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (6\/9)\/((-10)\/(-6)). Which is the closest to 0?  (a) p  (b) 0.3  (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -39*m + 2960 = -19*m. Let h be m\/(-80) - (-4)\/16. Do h and -2 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 274 minutes after 4:46 PM?\nAnswer: 9:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -453 - 900 = 3*v. Let f = 1394 + v. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 90 minutes after 2:38 PM?\nAnswer: 4:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = -2*g - 12. What is the tens digit of b(-11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1215 and 114296265?\nAnswer: 1215","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + 1 + sqrt(5) - (sqrt(25)\/sqrt(5) + 2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y = 2*j + 2 + 8, -j - 14 = -2*y. Let a(v) = 5*v. Let u(d) = d. Let s(m) = y*u(m) - a(m). Let o(i) = -8*i**2. What is o(s(f))?\nAnswer: -8*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3465?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (0 + (-6)\/(-4))*(-6)\/27. Is i greater than 21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*o + 366*o**3 + 3*o - 2*o - 111*o**3.\nAnswer: 255*o**3 + o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3489969 + 3489969 + 11*s**2.\nAnswer: 11*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 448 minutes before 12:28 PM?\nAnswer: 5:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 2826 - 2823. Let h(j) be the third derivative of 1\/6*j**o - 1\/48*j**4 - 1\/120*j**5 + 0 + 0*j + 7*j**2. Factor h(b).\nAnswer: -(b - 1)*(b + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(33)\/(sqrt(11) - -6*(sqrt(11) + sqrt(44)\/sqrt(4))) - (3 + 1 + sqrt(300) + sqrt(300)))**2.\nAnswer: 2072*sqrt(3)\/13 + 203947\/169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-4)\/(-1))\/((-9)\/4 - 26\/(-104)). What is the nearest to 0 in y, -5, -16, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = 71*c + 2. Let m be k(2). Let w be (8\/(-5))\/(9 - (-455)\/(-50)). Calculate the greatest common divisor of w and m.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -10 + 20. Let h = 0 - y. Is 15 a factor of ((-232)\/10)\/(4\/h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2*t**2 - 2*t**2 + 2*t**2)*(-5*t + 6*t**2 - 5*t**2 + 9*t)*(6 - 3 + 3)*(3 - 29 - 17) as c*t**4 + m*t**3 + q*t**2 + x + u*t and give m.\nAnswer: 2064","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 71 + 613?\nAnswer: 704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 31\/316 and -19\/1704.\nAnswer: 134616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -3\/2, -0.1, 3\/16, 4, 0.1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*a = 24*d - 19*d - 56 + 8, 3*a = -3*d - 24 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 47348734 and 5788.\nAnswer: 2894","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:46 PM and 10:33 PM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -266 + 431. Suppose -2*v - 3*p = -v - 39, 0 = 5*v + 5*p - a. Calculate the lowest common multiple of 6 and v.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 21, 1, -14382, -4 in increasing order.\nAnswer: -14382, -4, 1, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = 3*l + 2. Let y be m(6). Suppose -15*u + 13*u = -y. 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: Solve -14315*c = -3*f - 14310*c + 18, -3*f = 3*c - 18 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 + 3 + -10 + 13.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -11 + 10 - (2 - (-6 - -15))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*s = 36, -785*a = -787*a - 2*s + 16 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g be -1 - 4\/(-3)*1. Let z(r) = 2*r**3 + 130*r**2 - 133*r - 62. Let d be z(-66). What is the closest to 1\/5 in -4\/5, g, d?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -124105 + -13326?\nAnswer: -137433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 - 4 + 3)*(-65 - 98 + 99)*(4*k - 2 + 2).\nAnswer: -768*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 57229022 and 69606.\nAnswer: 2578","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Work out -241 * -2.\nAnswer: 482","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.17 - -8.83. Which is greater: l or -1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 18 and 114?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 70513 and 16475.\nAnswer: 659","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {c: 1, u: 3, v: 2, j: 1, k: 3}. What is prob of picking 1 k, 1 v, and 1 u?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -15 - -23. Suppose 3*d + k = d. Let a(v) = v**2 + 3*v - 3. Give a(d).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f + 3*p + 24 = 0, 2*p = -f - 4*f + 12. Let m(h) = h**2 - 5*h + 4. Let c be m(f). Suppose 0 = -2*d - 2*d + 16. Solve c = -d*n + 6 - 18 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 7.31 - 10.31. What is the closest to 3\/5 in -1, i, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = -9*y**2 + 6*y - 4. Calculate u(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -2, 3.08, 4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) be the third derivative of -7*r**4\/24 - r**3\/6 - 10*r**2. What is the remainder when l(-6) is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 1030300203 + 1?\nAnswer: 1030300210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) -1\/4  (b) -2  (c) -357\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 1656\/(-4140)*((0 - -2) + -9)\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in -1\/10, -0.0062, -2\/5, -2?\nAnswer: -0.0062","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 78 - 74. Solve -p*q + 7 = -3*q - 5*h, -4*q - 14 = h for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1*(0 + 420\/20))\/(0 + (-3 - -4))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-16)\/6*3 + 1. Let g = 2 + i. Let y be (6\/4)\/(3\/(-8)). Sort y, 5, g.\nAnswer: g, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a = 4*l + 13, 17*l - 22*l = 20. Suppose 29 = -a*k + 2*g + 154, -k - 2*g + 31 = 0. List the prime factors of k.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 6464, 6351, 6252, 6173, 6120, 6099, 6116, 6177?\n\"Answer: d**3 + d**2 - 123*d + 6585","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -112 - -111. Calculate the smallest common multiple of 10 and (1\/((-3)\/(-9)) - 15)*p.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in three eighths of a week?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -290492191 rounded to the nearest 10000?\nAnswer: -290490000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 14998053 is divided by 129?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = -16*k**2 + 4*k**2 + 6*k + 5*k**2. Let f = -16 + 11. Let t(c) = -7*c**2 + 7*c. Let o(l) = f*t(l) + 6*j(l). Find the second derivative of o(y) wrt y.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-22*i**2 + 16*i**2 + 17*i**2)*(-21 - 7 + 4) in the form q*i**2 + u*i + r and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 10\/21 of a week in hours?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*q - 51 = 75. List the prime factors of 890\/4 + -1 - (-27)\/q.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -3 (base 15) to base 8.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -12  (b) -0.3  (c) 2\/5  (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 24*q**4 - 3*q**3 + 1270*q**2 - 3*q - 9434306?\nAnswer: 96*q**3 - 9*q**2 + 2540*q - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -4 + 6. Let p be 5\/(1 - o\/4). Let d be (-1)\/(-2) + (-7)\/p. Which is the closest to 1?  (a) 2  (b) d  (c) -4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 44, 112, 204, 326, 484, 684, 932, 1234?\n\"Answer: u**3 + 6*u**2 + 43*u - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (108\/45)\/6*-10?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -123 - -63210?\nAnswer: 63098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 11.8 + 1.2. Let l = 9 - w. Let j = -317\/45 + 58\/9. What is the second smallest value in j, -1\/4, l?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 96 divided by -96.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w = -3*k + 32, 2*w - 31 = -4*k + 23. Suppose -11*y = -w*y + 30. Suppose -r + 1260 = y*r. What is the units digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence iii when three letters picked without replacement from mimmiimmimmimmmmmmmm.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*v - 15 = -19 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 216504 = -21*m + 52*m. List the prime factors of m.\nAnswer: 2, 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 783.019 - 784. Let l = c + -0.019. Which is smaller: l or 4.8?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (24\/42 - 38\/(-7)) + -5. What are the prime factors of (v - 687\/(-18)) + (-35)\/(-42)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -71\/1344 and 123\/1178912?\nAnswer: 7073472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o**4 + 76928*o**3 + 1482858575*o**2 + 129916077400*o + 376404582000 = 0. Calculate o.\nAnswer: -38420, -85, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*h = h - 3. Let c = 5 - h. Suppose 2*u + c*u - 212 = 0. Is 19 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -215, 3, -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 8199964?\nAnswer: 2, 2049991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is (-4)\/(3*(-48)\/180)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2*x**5 - 2066*x**4 + 2*x**2 + 14*x wrt x?\nAnswer: 120*x**2 - 49584*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 divided by 134253901.\nAnswer: 2\/134253901","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = 2*t**3 - 24*t**2 + 2*t - 19. Calculate w(12).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*h = -291 - 37. What is the highest common divisor of h and 246?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -28387513, -56775026, -85162539, -113550052, -141937565, -170325078?\n\"Answer: -28387513*r","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k*k*k*(k\/(k*k**(5\/2)\/k*k))\/k*k*k*k)\/(k*k**(4\/3)))\/((k**(-8)*k)\/k**(-5)) assuming k is positive.\nAnswer: k**(13\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = -5*v + 2. Suppose -4*o + 4 = 0, 2*i = -0*i + o - 3. Let f be j(i). Suppose 0*c - f*c = -63. Calculate the least common multiple of 18 and c.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-4)\/14*(-2380)\/340)\/(7\/462*2)\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.2 and -193087168.\nAnswer: -38617433.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*h + 87 = -4*q, 0 = -7*q - 9*h + 7*h + 29 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 293?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.5 times -24.4?\nAnswer: -12.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.09169 >= 109?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -g**3 - 24504*g**2 - 14363*g?\nAnswer: -6*g - 49008","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = -s**2 + 6*s - 4. Let u be c(6). Let z = -4 - u. Factor 2*b**2 - 6 + z*b**2 + 3*b + b**2 + 3*b**2 - 3*b**3.\nAnswer: -3*(b - 2)*(b - 1)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 258469139?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*z - z + 32. Suppose -w - w = 6. Let g = w + z. Solve -12 = -j + 5*t + 15, 5*t + 15 = -g*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 8 + (2 - 5 - 26) + 7\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -633, -1225, -1791, -2319, -2797, -3213, -3555, -3811?\nAnswer: -3969","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = 4*j**3 + 3*j**2 - j + 1. Let i be k(2). Let f = i - 20. Does 12 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 591439 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -14199, -28396, -42593, -56790, -70987?\n\"Answer: -14197*q - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*a + 13*m = 17*m + 5, -m = a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 13.46 + -14. Let i = 0.6 + n. Let f = 0.34 + i. What is the second biggest value in -3, f, 5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in five eighths of a tonne?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 15, 67\/126, 0.1, 1\/7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -15104 - -15112. Solve 2*o - 2*m + r = 0, 2*o - m + 3*m = -4 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -33*c - 13*t + 9*t + 50, -c = -5*c - 5*t + 41 - 53 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 5 - (24 - -12 - -59)\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {o: 9, k: 5}. What is prob of picking 2 k and 1 o?\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 35267176.\nAnswer: 2, 7, 73, 8627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.269894 rounded to 2 decimal places?\nAnswer: 0.27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -17 or -63\/4?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 125 a factor of 625?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) be the second derivative of 0 + 5*r - 2\/3*r**3 - 3\/2*r**2. What is the derivative of b(q) wrt q?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -16 - -16. Let v(t) be the third derivative of -1\/15*t**5 + 0*t + 0 + 2*t**2 - 1\/4*t**4 + y*t**3 + 1\/120*t**6. Give v(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z - o + 21 = -2*o, -5*z + 25 = -o. Let x be 2\/z + 1\/(-2). Suppose h - 4 = x, 2*p - 4*h - 33913 = 48071. Round p to the nearest 10000.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1592074 is divided by 181.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 16775 = -889*v - 5816 - 15636 for v.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = -2*w**2 + 3. Let u(j) = 2*j**2 + j - 4. Let t(d) = -2*u(d) - 3*z(d). Let k be t(2). What is the closest to 1 in 5, k, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1922 a factor of 517798332?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + ((sqrt(12)\/sqrt(2)*1)\/sqrt(3))**2 + (sqrt(72) - (sqrt(72)*-1 + 0)**2).\nAnswer: -65 + 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r**(-5)\/r)\/((r**(3\/5)*r)\/r))\/(r*r**(2\/7)*((r\/r**(-2\/9))\/r)\/r) assuming r is positive.\nAnswer: r**(-2239\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -52 - -51.8. Let l = m + 3.2. What is the second biggest value in 0.6, -7, l, 2\/9?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-24)\/(-18))\/(4\/3951) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -43.2 - -534.2. Let w = 491.1 - j. Which is the closest to 0.55?  (a) -5  (b) 0.5  (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 30627 - 30531. Suppose 0*q - 2*q = -256. Calculate the greatest common divisor of d and q.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = -11*j - 3. Let k(g) = 12*g + 3. Calculate 3*b(y) + 2*k(y).\nAnswer: -9*y - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-7)\/((-140)\/110) - (6 + 1).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1 - 0) + -20 + 8 + (-26 + 25 - -20).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (h**3 + 0*h**3 + 0*h**3)*(1 + 3 - 6)*(2042 + 4865 - 1692).\nAnswer: -10430*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 175 divided by -662?\nAnswer: -175\/662","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert e87 (base 16) to base 15.\nAnswer: 117e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -18993596, -37987199, -56980802, -75974405?\nAnswer: -94968008","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 30\/90 + ((-296)\/(-30) - 0). Which is greater: s or 9?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:12 AM and 12:23 AM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*m + 27 - 187 = 0. Suppose 5*y = 5*d + 6*y - 1575, -4*d + 1244 = 4*y. Calculate the remainder when d is divided by m.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s*s**(-2))\/s**(-5))\/(((((s**6*s)\/s)\/s)\/s)\/(s*s\/s**(1\/6))) assuming s is positive.\nAnswer: s**(11\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -423*c - 761 + 761 - 4*c + 13*c.\nAnswer: -414*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1806*r**2 + 3621*r**2 - 2 - 1816*r**2 + 2.\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 0.123 * -0.112\nAnswer: -0.013776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (2 + (-31)\/2)*-2. Let g = -132\/5 + z. What is the third biggest value in 1, g, 3\/2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*d + 5*w + 54, -5*w + 317 = -d + 278. Suppose 42 + 18 = 2*s. Is s >= d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 43*k**4*v - 68820*k**3*v + k**3 + 52*k**2*v - 9*k**2 + 2*k*v + 6*k - 9*v + 2 wrt k.\nAnswer: 1032*k*v - 412920*v + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 3\/16 of a century?\nAnswer: 225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:44 AM and 10:45 AM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = -61*k + 633. Let l be t(9). What is the greatest common divisor of l and 498?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 223391475?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 4*h**2 - 3138*h**3 - 2 + 3136*h**3 + 7*h + 17*h wrt h?\nAnswer: -12*h + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*x = -5*f + 61935, 0 = 3*f + 18*x - 20*x - 37159. What is the thousands digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -1 + 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 10307644?\nAnswer: 2, 17, 29, 5227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from xxxxxxxjxxxxxxxxxxxx. What is prob of sequence xxjx?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 591\/4 - (-1)\/4. Suppose -6*y = -2*y - b. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = -56*n**2. Let m be g(-1). Suppose -4*y - l = 106, 5*y + 99 = -4*l - 39. Let s = y - m. Calculate the greatest common factor of s and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 2\/9  (b) 5  (c) -1  (d) 0.2  (e) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (30\/8)\/(21\/56). Let u(q) = 2*q - 5. Let n = -4 + 4. Let r(j) = -7 - 5*j + 23 - j + n*j. What is k*u(h) + 3*r(h)?\nAnswer: 2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 656087 (base 10) in base 3?\nAnswer: 1020022222112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 32211077?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 s and 1 m when two letters picked without replacement from sesmbevj?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 435723308?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Product of -1.7 and 0.03.\nAnswer: -0.051","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 1388561 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) be the first derivative of g**5\/75 + g**4\/20 + g**3\/15 - 6*g**2 + 2. Let t(p) be the second derivative of v(p). Let t(x) = 0. Calculate x.\nAnswer: -1, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l**(-3)*l**(2\/3)*(l**(-5)\/l)\/(l\/(l**2\/l)))**(-35))**(-1\/39) assuming l is positive.\nAnswer: l**(-875\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is one quarter of a centimeter in micrometers?\nAnswer: 2500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 516 + ((0 - -3) + -3)\/2. Calculate the greatest common divisor of d and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 148.55757465 + 33.44241745. Let t = r + -182. Round t to six decimal places.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 3331?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0 - 8*f + 0 + 16*f - 12*f.\nAnswer: -4*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 1786\/(-13395)*45\/21?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 65870557 divided by -1499?\nAnswer: -43943","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 24853 to the nearest integer?\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = 235*l + 199. Is m(4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = -g**3 + g + 6. Let r be l(0). Let v(o) = o**3 - 5*o**2 - 6*o + 5. Let b be v(r). Put -4, 20, b in descending order.\nAnswer: 20, b, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from rlssrbbsylllbyyb. Give prob of picking 2 r and 1 y.\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*sqrt(1176) + sqrt(1176))\/(-1*sqrt(8)*-1) + 0.\nAnswer: 21*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 60 and 60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d*d**(-4))**(12\/13)\/(d\/d**3*d*d*((d*d**13)\/d)\/d))**23 assuming d is positive.\nAnswer: d**(-4416\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) be the second derivative of -a**3\/6 + 19*a**2\/2 + 108*a. Give w(19).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -2.2, -0.5, 2, -0.2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -23 (base 6) in base 10?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 76219154 is divided by 29.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = 3*d - 4. Let m(t) = 12*t - 28. Let b(x) = -4*x + 9. Let c(y) = -10*b(y) - 3*m(y). Determine 5*c(h) - 7*i(h).\nAnswer: -h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -19*g = -20*g + 5*o, 5*g + 2*o = 27 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -16.09 - -0.09. Let t = 16.03 + q. Are t and 2\/5 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s*s**(-2\/19))\/s**(-11))\/(s\/(s*s\/((s\/s**(1\/3))\/s)))**36 assuming s is positive.\nAnswer: s**(1138\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 98054 and 9511238?\nAnswer: 9511238","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2013478 is divided by 1020.\nAnswer: 1018","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = z**3 + 5*z**2 - 6*z - 1. Let v be a(-6). Let x be 0 + (-3)\/3 - v. Which is bigger: x or 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) be the second derivative of -z**7\/105 - z**6\/20 - z**5\/30 + z**4\/4 + 2*z**3\/3 + z**2 - 3*z. Let b(w) be the first derivative of a(w). Factor b(x).\nAnswer: -2*(x - 1)*(x + 1)**2*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 17899 * 52\nAnswer: 930748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -2\/51 + 19\/51. Let z = -87.136 - -0.136. Let x = z + 87.3. Which is the closest to i?  (a) -1\/2  (b) -0.1  (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 13 in 3\/2, 8, -0.376?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 4688 a factor of 45220891?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 173 is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 294254 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 139, 143, 155, 175, 203, 239?\nAnswer: 283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = 2274*u. Let h(v) = 310*v. What is h(x(t))?\nAnswer: 704940*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-3)\/(2 - (-2 + 12\/4)). Let z be (-15)\/o*24\/20. Suppose 2*y - 3*v - 29 = -2*y, -y + v + z = 0. Does 9 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 v and 2 s when three letters picked without replacement from {w: 2, s: 7, v: 9, k: 1}?\nAnswer: 63\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -666 times -420?\nAnswer: 279720","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 74 + -58. Let q be 6\/t - 138\/(-16). Let f be ((-24)\/(-2))\/((-3)\/(-2)). Is f less than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5\/4 of a century in months?\nAnswer: 1500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (6\/84)\/((93\/14)\/31)*-189?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-3 + -1)*2*5\/60. Let y = -5\/11 - -57\/77. Which is the nearest to y?  (a) t  (b) -3  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -16725*y**4 - y**3 - 11*y**2 + 6008.\nAnswer: -401400*y - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 495, -4, -5 in descending order.\nAnswer: 495, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence titt when four letters picked without replacement from {t: 8, i: 3}.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 9125874 divided by 506993?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10084*a + 5448*a + 1733604 = 5706*a + 13406*a for a.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -21*f + 1 - 1 = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is (1 - 7) + (-8 + 13 - -2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 39.1 and -0.11248.\nAnswer: -4.397968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -5, 12259, -19 in increasing order.\nAnswer: -19, -5, 4, 12259","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-i**2 + i**2 - 2*i**3)*(-11*i**2 + 13 - 14 + 4).\nAnswer: 22*i**5 - 6*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -l - 4*s + 14, -4*s + 50 - 32 = 3*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 19267943 rounded to the nearest 10000?\nAnswer: 19270000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 841111076.\nAnswer: 2, 13, 19, 851327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 70 = -2*q - 18. What is the common denominator of q and 97\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 5, -3, -0.2, 3, -47270, 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -13*q + 10*q - 162. Let x = q + 54. Solve -3*r - 12 = -x*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 8 in 1\/8, 0.3, 1\/5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from iiiwiwi. Give prob of sequence ww.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -71416*a*o - 3626*o + 5 wrt a?\nAnswer: -71416*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.2 + -18.1.\nAnswer: -17.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Determine x so that -3*x**2\/4 - 1332*x - 167280 = 0.\nAnswer: -1640, -136","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = -2*q**2 + 43*q - 78*q + 41*q + 2. Let h(a) = a**2 - 3*a - 1. Give 5*h(b) + 2*p(b).\nAnswer: b**2 - 3*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 + 1 = w. Let f = 24472 + -367078\/15. Which is the third biggest value?  (a) w  (b) f  (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-92)\/1771*-6*14\/(8\/(-4))?\nAnswer: -24\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*t + 2*r - 6, 5*t = 3*r + r + 18. Factor -13 + 13 - 6*g**t - 2*g**3 + 0*g**3.\nAnswer: -2*g**2*(g + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 859471\/5394 - 4606\/29. What is the common denominator of b and 41\/341?\nAnswer: 2046","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 231 = 4*p + 4*v + 83, 5*p - 182 = -2*v. Let s be (-5)\/10*(-1 - 11). Calculate the greatest common factor of p and s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) be the first derivative of o + 1\/3*o**3 - 2 - 1\/2*o**2. Let y(i) be the third derivative of i**5\/30 - i**4\/4 + 5*i**3\/6 + 4*i**2. Give 4*d(r) - y(r).\nAnswer: 2*r**2 + 2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 6 - -15. Suppose 0*o = -o + 64. Let d = -23 + o. Calculate the remainder when d is divided by z.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*a - 56*p + 49*p = 246, a - 2*a + 2*p + 48 = 0 for a.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-33 - -1)*(-36)\/24. Suppose k = 3*a - 0*a. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = 13*i**2 + 165*i - 5. Calculate the remainder when o(-13) is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 444 - 534.2. Let k = -0.8 + h. Let o = k - -91.0164. What is o rounded to three dps?\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in t**3 - 3*t**3 - 4*t**3 - 2*t**3.\nAnswer: -8*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 10\/(-6)*(-27)\/9. Let q = -62 + 66. What is the nearest to 0.1 in x, q, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 41 divide 230085?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 2904721 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 10397330 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9001*m - 130 + 130.\nAnswer: -9001*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*d**2 + 3*d**2 - d**2)*(3*d - 2*d - 3*d) + 2*d**3 + 2*d - 2*d + 124546*d**3 - 3*d - 124528*d**3 + 2*d**2 - 2*d.\nAnswer: 16*d**3 + 2*d**2 - 5*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 83*k - 87*k = -276. Calculate the greatest common divisor of 1909 and k.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.4 and 283.\nAnswer: 113.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 50\/241 at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -202*d + 208*d - 12 = 0. Let k(y) = -5*y**d + 109*y - 109*y. Let f(v) be the third derivative of -v**4\/6 - v**2. Give f(k(n)).\nAnswer: 20*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 0.4, 4, 8, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -543*b - 412*b - 419*b - 295*b - 572*b to the form q*b + c and give q.\nAnswer: -2241","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in five sixths of a century?\nAnswer: 1000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: (-2)\/14 - (44 + (-58421)\/1316) - 22\/72\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 80 + -52. What are the prime factors of w?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 14*m + 245 - 65*m + 24*m - 97 - 148 + 28*m.\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 297763.2 nanometers?\nAnswer: 0.02977632","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*(-2 + -4*sqrt(80)) - 3*(sqrt(180)\/sqrt(3))\/sqrt(12)*1)*1*1.\nAnswer: -19*sqrt(5) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (((-3135)\/22)\/(-15))\/(2\/(-24)). Let u be (-1)\/(-3)*(q - 6)\/(-8). Solve u*c - 8 = 7*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be -14 + (10 - -2) + 2*3. Solve o + 5 = -2*p + 1, -o = 5*p + j for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (55110\/(-264))\/167*(-152)\/10?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 o and 1 w when two letters picked without replacement from wuooiioowoow.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = 238*n**3 - 6*n**2 + 9*n - 1. Let o be y(3). Let d be (3\/1)\/(6\/100). Suppose 48*s = d*s - o. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 27 - 15. Suppose 0*p - o = -3*p. What is the remainder when 10 is divided by p\/18 + 208\/36?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 22998390 to the power of 1\/2, to the nearest integer?\nAnswer: 4796","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/19 in 27, 5, -0.13, -0.01, 0.2?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 2937848 times -3.1\nAnswer: -9107328.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 16714786?\nAnswer: 2, 11, 759763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*t + t + 66*t + (-2 - 1 - 1)*(2 - 2 - 2*t) + (5 - 1 - 5)*(-t + 2*t - 3*t).\nAnswer: 79*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 475\/10*(-20)\/(-75)*(-20 - (-731)\/34).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 3, -4522.\nAnswer: -4522, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = 8*w - 5. Let n(y) = -33*y + 21. Let t be (12\/9)\/(4\/78). Let d = 21 - t. Determine d*n(o) - 21*x(o).\nAnswer: -3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify q**(3\/5)*q*q*q**(2\/5)*q*q**6*q\/(q*q**(-6)) assuming q is positive.\nAnswer: q**16","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 12680\/27 greater than 470?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 14*l - 1537 + 2569 - 1536 for l.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 w and 3 b when four letters picked without replacement from {g: 3, h: 3, e: 2, b: 3, w: 3}?\nAnswer: 3\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 119, 689, 1717, 3431, 6059, 9829?\n\"Answer: 38*n**3 + n**2 + 301*n - 221","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = 39*a + 2 - 3 - 44*a. Let h = 1 - 0. What is n(h)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 200?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 1 - -141?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 68152\/255 + -13610\/51. Let -2\/5*h - 1\/5*h**2 - g*h**4 + h**3 + 0 = 0. What is h?\nAnswer: -1\/2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -16510 + 8325 - p - 100*p**2 + 8185.\nAnswer: -100*p**2 - p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is (-5 - (-28)\/8)\/(3\/4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p + 7*r + 69 = 4*r, 2*p - 63 = -3*r. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -31438, 2\/13, -4\/7, 2?\nAnswer: -31438","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -183*h = -178*h + 292*h + 2376 for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: ((-28)\/(-154))\/((-16)\/(-44))\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Round 90987.20856 to the nearest 10000.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = -41*y**2. Let r(b) = 3*b**2. Determine c(r(u)).\nAnswer: -369*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) be the first derivative of 45\/2*f**2 + 0*f - 48. Let a(p) = p. Calculate c(a(k)).\nAnswer: 45*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-37)\/(-148)*-56)\/(21\/(-90))?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = 2*r**3 - 11*r**2 + 6*r - 55. Let g be z(6). Solve 18 = 3*h - 4*h - 4*v, h - 3*v - g = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 120542 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -22177467 + 12677467. Round d to the nearest one million.\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0*x**2 + 0*x**2 + 2*x**2)*(-5 + 22*x**2 + 3 + 1) to o*x**3 + h*x**2 + s*x**4 + n*x + r and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -11.15 - -0.15. Let q = 32 + k. Let r = q + -24. Which is the closest to -1?  (a) -5  (b) r  (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 at least as big as 76532.69?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 700 minutes after 2:39 AM?\nAnswer: 2:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*sqrt(119)*-2)\/sqrt(7) + (2 + sqrt(833) + sqrt(833) + -2 - sqrt(833))**2 + 0.\nAnswer: 2*sqrt(17) + 833","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 2119122\/(-1397) - (-36)\/(-33). Which is smaller: -1521 or v?\nAnswer: -1521","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 + -7 + -1 + 4 + 5.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {y: 3, b: 1, n: 2, h: 1}. Give prob of picking 2 y and 2 n.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -1127 - -2137. Let c = -955 + x. Calculate the remainder when c is divided by 46.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -2\/2375 + -1417\/9500. What is the second biggest value in c, -2\/7, 5\/3, -5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*(-6*sqrt(70)\/(sqrt(90) - sqrt(10)) + 3)**2.\nAnswer: -36*sqrt(7) + 144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q = 4*o - 88, 3*q - 148 = -q - o. Find the third derivative of 9 + 29*p**3 - 19*p**2 + q*p**2 - 15*p**2 wrt p.\nAnswer: 174","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -809824 and -809822 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n be -1 - (2 - -1)*14\/(-6). Suppose -n = -9*m + 6*m. Suppose -m*z + 1 = -13. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.25136 rounded to 2 dps?\nAnswer: -0.25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 139.505 - 11296.66?\nAnswer: -11157.155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"}
{"text":"Question: Differentiate 6*r**2*z**3 - 3*r**2*z + 39*z**3 wrt r.\nAnswer: 12*r*z**3 - 6*r*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 203 and 145?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 3*(-4)\/(-6)*4. Let m(q) = -14*q. Let v = -4 - -7. Suppose -4 = -v*r - 4*i + 21, -5*r - 4*i = -31. Let j(z) = 5*z. What is r*m(k) + x*j(k)?\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x**(-3)*x\/x**(-3\/2))\/(x*x*((x*x**(4\/3))\/x)\/x*x\/(x\/(x**(1\/6)*x))))\/((x\/(x\/(x\/x**(-2)))*x)\/x**6)**26 assuming x is positive.\nAnswer: x**48","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5 + 8 - 1)*(2*z + 3*z - 7*z).\nAnswer: -24*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = -14*i + 3. Is r(-11) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18 = -33*w + 29*w + 3*t, -2*t - 1 = w. Let q(c) be the first derivative of 4 + 0*c**2 + 1\/3*c**w + 0*c. Let i(x) = -x**2. What is i(q(b))?\nAnswer: -b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-114)\/(-14))\/((-348)\/2436).\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -202893 + 4?\nAnswer: -202889","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = -1747*g - 16100. Calculate k(-9).\nAnswer: -377","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -q**2 + 0*q**2 + 4658*q**3 - 4700*q**3 to the form w*q**2 + n*q + d*q**3 + a and give d.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 20 and 161?\nAnswer: 3220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3\/8*h**4 + 36 - 147\/2*h + 48*h**2 - 87\/8*h**3 = 0 for h.\nAnswer: 1, 2, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0 - 1. Let c = -0.1 + -0.4. Let x = c - -0.7. What is the nearest to h in x, -1, 0.1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = s**2 + 8*s + 5. Let y(a) = -a**2 - 25*a - 16. Determine -7*w(u) - 2*y(u).\nAnswer: -5*u**2 - 6*u - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 6 + 21 + (-11 - (-27 + 15 - -4))?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(8)\/(sqrt(28)\/sqrt(7)) + -5 + (sqrt(2) - -4*sqrt(2))**2 + (-5 + -2 + sqrt(288) + 2)**2)*2.\nAnswer: -238*sqrt(2) + 716","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -97222 divided by -3\nAnswer: 97222\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 1324 + -51a68?\nAnswer: -50744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 40\/(-16)*1*4\/(-10).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {h: 4, n: 1, s: 1, q: 3, f: 1, m: 5}. What is prob of picking 1 q and 1 h?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (17\/((-51)\/(-18)))\/(78\/(-286)).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = 4*b**3 + 2*b**2 - 2*b - 2. Let h be d(2). Suppose -3*o + 3*m + m = -h, o - 23 = -m. List the prime factors of o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 8800, 17602, 26406, 35212, 44020?\n\"Answer: y**2 + 8799*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 67243838 and 854.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 20 + -20.36. Round a to one decimal place.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 - (0 + 1) - (-3 + 6).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 22565367491 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1117 divided by 6.\nAnswer: 1117\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 115910?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = 12*c**2 + 6*c + 3. Let w(f) = 22*f**2 + 10*f + 5. Let b(k) = 5*h(k) - 3*w(k). Let s(y) = 14*y**2. Calculate s(b(n)).\nAnswer: 504*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1683905527.\nAnswer: 73, 23067199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = 3*a**2 - 2. Let t = -1 - -3. Let y be 6\/(-2) + 2\/t. Does 8 divide d(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2430.338 + -0.3?\nAnswer: 2430.038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = -2*i**3 + 33*i**2 + 4*i + 106. Determine x(18).\nAnswer: -794","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w = -5*h + w + 2897, 2885 = 5*h - 5*w. What is the hundreds digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.277 + 0.177. Let c = -1471 + 1464.1. Sort c, i, -1\/2 in decreasing order.\nAnswer: i, -1\/2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1 * 0.36087562\nAnswer: -0.36087562","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:23 AM and 4:17 PM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 7 + -14. Let g = -1278 - -1287. Let x = j + g. Solve 6 = 2*w + h, x*h + 2*h - 10 = -w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g = g + 5*u + 7, -3*g + 3*u = 12. What is the second smallest value in g, 5, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {j: 3, t: 2, l: 4, o: 1, s: 2}. What is prob of sequence tjto?\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v**2 - 719172*v - 33794457 = 0. Calculate v.\nAnswer: -239677, -47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -15\/428 + 16857\/4708. Find the common denominator of t and (-2)\/10 + (-16)\/(-4).\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 155868 to the power of 1\/4, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -60.5 - -29. Let m = l - 24.1. Round m to the nearest integer.\nAnswer: -56","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 704 minutes before 9:29 PM?\nAnswer: 9:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1619*n + 613*n = -35712 for n.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 21\/14 + -1 + 79\/2. Let c be (4\/10)\/(8\/y). Factor -1246*s**c - 5*s**4 + 5*s**3 + 1246*s**2.\nAnswer: -5*s**3*(s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = 38*g - 45 + 45. Let t(x) = -7*x. Determine l(t(i)).\nAnswer: -266*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = 3*i**2 - 1478*i + 2960. Calculate o(2).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 90163 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Does 34 divide 25403446?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*g + 48 = -2*g. Let m(x) = -6*x + 51*x + 18*x - 7 + 29*x. Is m(g) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 17*s = 11*s + 12. Suppose 71 = u - s*v - 70, 0 = u - 5*v - 147. Is 5 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 38008882*h + 23297277 wrt h.\nAnswer: 38008882","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 1585  (b) 4\/3  (c) -22  (d) -37\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 53451617 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/3?  (a) -2\/21  (b) 4\/3  (c) 4  (d) -4  (e) 5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 15701 is divided by 495?\nAnswer: 356","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = -2*m**2 - 1166*m**3 + 5*m**2 + 1165*m**3 + 40*m - 14. Let x be f(-7). Calculate the highest common factor of 49 and x.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = 256 + 460*a - 149*a - 254. Does 35 divide p(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-40)\/48)\/((-10780)\/44352)?\nAnswer: 24\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 1\/5 of a centimeter?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 12 minutes before 11:41 PM?\nAnswer: 11:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (72\/54)\/(132\/(-5247)).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0010129909 rounded to five dps?\nAnswer: 0.00101","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((g*g*(g\/(g\/g**0*g)*g)\/g)**(-1\/20))**7)**(3\/32))**(-2) assuming g is positive.\nAnswer: g**(21\/320)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 33*m - 32*m = 4 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 0 (base 8) to base 13\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = -n - 6. Let g be h(-7). Suppose -3*s + 14 + g = 0. Solve 0 = -w - 2*l + 8, -5*w + l - s*l + 28 = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*g - 1 = -w, 0 = -3*g - 4*w - 16 + 10 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-70)\/15)\/((-2)\/3). Let a(s) = -s**3 + 14*s**2 + 9*s + 2. Let p be a(n). Does 5 divide p\/21 + (-6)\/14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 54 + -52. Factor 0 - 2\/5*j**k + 4\/5*j.\nAnswer: -2*j*(j - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 5787.97 - 5786.86999656. Let j = -1.1 + w. What is j rounded to six decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify n**(-1\/3)\/(n*n\/(n*n*n*n*n**(-1\/8)*n*n*n)*n) assuming n is positive.\nAnswer: n**(85\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-66)\/(-18) + (4 - (7 - 0)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -449 - 85 - 2732 = 23*i + 48*i for i.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:46 AM and 7:13 AM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 8\/(-20) + 1316\/90. Let t = 5093\/360 - w. Find the common denominator of t and 2\/15.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*k**2 + 292*k + 894 = 0. What is k?\nAnswer: -3, 149","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = 11*u - 68. Suppose -4*j + 62 = 38. Let l be y(j). Put l, 2, 52, -1 in ascending order.\nAnswer: l, -1, 2, 52","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/4?  (a) 59  (b) -2\/9  (c) 2\/11  (d) -33\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u + 8 - 2 = 0. Suppose 0 = -2*v + u - 1. Which is the closest to v?  (a) -3\/2  (b) 0.1  (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -8871 (base 11) to base 3\nAnswer: -121001010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of (-891)\/630 - (-2)\/(-7) and 59\/16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 611614, 1223223, 1834830, 2446435, 3058038?\nAnswer: 3669639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 7333086*p**4*v**2 - 2*p**3*v**2 - 790*p**2*v**2 + 6*p*v - 2*p + 6*v**2 + 76 wrt p.\nAnswer: 175994064*p*v**2 - 12*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -3722517 (base 9) in base 16?\nAnswer: -1edd0b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -57212528, -114425056, -171637584, -228850112, -286062640, -343275168?\n\"Answer: -57212528*i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 36365950?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-1074)\/(-1253))\/(19\/133).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 23, -35, 2, 0, 1, -10 in descending order.\nAnswer: 23, 2, 1, 0, -5, -10, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 21764657 - -24?\nAnswer: 21764703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.05725974 to 2 decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -163*h + 2792 + 1793 = 864 - 354 for h.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1119163 to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -32969 divided by -14\nAnswer: 32969\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1493 = 370*i - 8893 for i.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 59\/939 and 13\/9390.\nAnswer: 9390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c - 34 = -5*v + 55, c = 4*v + 89. What is the tens digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of ((-3)\/(-70)*94)\/2 and ((-37)\/(-259))\/((-5)\/(-406)).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 26130 and 377?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 162744*c + 167031*c + 6298*c.\nAnswer: 336073*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from uuuulluuluuuul. What is prob of sequence ul?\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-3*sqrt(11)*-2)**2 - ((sqrt(11) - (sqrt(11) + 0))*3)**2)*2*1.\nAnswer: 792","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -22*g**2*n**4 - 18*g**2*n**3 + 1065*g**2 wrt n.\nAnswer: -88*g**2*n**3 - 54*g**2*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (3 - 4) + -3 + 0 + 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18*x**5 + 20*x**2 + 2*x**5 - 32*x**4 - 36*x**3 + 4*x**2 + 8*x**2 + 16*x = 0. What is x?\nAnswer: -1, -2\/5, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*z**2\/5 + 1926*z\/5 - 20760.\nAnswer: 3*(z - 50)*(z + 692)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 37\/((-56)\/196*7*(-5)\/(-80)*-4).\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is d in 2*d**4\/21 - 22*d**3\/21 - 478*d**2\/7 + 418*d\/3 - 1472\/21 = 0?\nAnswer: -23, 1, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -70*m + 1923 = 3183 for m.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 93 and 3186149?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = -d**2 - 2*d + 2. Let b be 18\/(-10) - 4\/20. Let z be c(b). Let i be (-32)\/6 + (9 - 18 - -14). What is the closest to -1 in z, -2, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 647 minutes after 10:17 AM?\nAnswer: 9:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r + 59 = 19. Let a = 28 + r. Let z = 14 - -31. Calculate the highest common divisor of z and a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -107\/128211216 and 97\/888.\nAnswer: 128211216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Divide 20 by 2267.\nAnswer: 20\/2267","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1 - 3. Let c be 6 - 4\/(40\/70). Let a be c + 20\/((-16)\/v) + 17. Solve -k = -4*y - a, -3*y - 3 = 2*k - 1 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {i: 3, m: 3, a: 4, u: 1, j: 5, e: 4}. What is prob of picking 1 m, 1 a, and 1 e?\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 32822, 32533, 32244, 31955?\nAnswer: 31666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2969*m - 220 + 295*m + 111 + 109 to the form d*m + r and give d.\nAnswer: -2674","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 3368422, 6736844, 10105266, 13473688, 16842110?\nAnswer: 20210532","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from jbjjjjjjjsjbjjsjb. Give prob of picking 1 s and 1 b.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 38012*j - 81*j**3 - 38012*j.\nAnswer: -81*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Factor -218*s**3\/5 + 604734*s**2\/5 - 83877438*s + 3847538\/5.\nAnswer: -2*(s - 1387)**2*(109*s - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*f - 2, -f + 6 = 3*o - 2*o. Let i(b) = 3*b**2 - 3*b + 6. Let x be i(o). Suppose x = -3*z + 6*z. Is 22 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -85 - -596\/7. What is the nearest to l in -3, 0.2, 0.4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -61 + 49. Let x be (-14399)\/2 + (1 - (-18)\/s). What is x rounded to the nearest 1000?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 16296015?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 863348.\nAnswer: 2, 101, 2137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 6\/24 + (-2)\/8. Let s = 8 + l. Calculate the least common multiple of s and 128\/6 - 4\/(-6).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*l**4\/6 + 65*l**3\/3 - 235*l**2\/2 - 910*l\/3 - 490\/3.\nAnswer: -5*(l - 14)**2*(l + 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.1?  (a) 6636  (b) -5133  (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(190) - (sqrt(190) - (sqrt(190) + (4*sqrt(190) + sqrt(190) + sqrt(190) - sqrt(190)))))*6 - sqrt(190))\/(2*sqrt(1000)).\nAnswer: 7*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -2 + 4. Let s be 6\/2*-1 + 2. Let g = s + z. Solve 0 = -3*p - g + 4 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add 2 and 66041142542.933.\nAnswer: 66041142544.933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x + 275 = 5*b - 964, -1239 = -3*x - b. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-6)\/8*(-40)\/(-15). Let j be o\/(-16) - (-1437)\/24. What is the greatest common factor of 120 and j?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find d such that 3*d**2\/2 + 2842629*d + 2693513210547\/2 = 0.\nAnswer: -947543","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 4156 + -20914\/5. Let q(k) = k**2 - k + 26. Let j be q(0). Let h = j + i. Sort h, -4, -1.\nAnswer: -4, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = -g**2 + 2*g - 4. Suppose 9*i + 51 = -4*y + 4*i, -5*y - 30 = -5*i. Let n = y - -10. Let d be n\/1 - -5 - 3. Calculate p(d).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -1392.9840893 from -21170.\nAnswer: -19777.0159107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: ((-18)\/12)\/(1\/14*7)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2 + 4 + (-6 - -8) - (4 + 0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {f: 1, l: 2, n: 6, x: 4}. What is prob of picking 1 f and 1 n?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 5.99 + 0.01. Let c = n + -6.002. Round c to 3 dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 2556 and 2556?\nAnswer: 2556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is -96384 at least as big as -96383?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 4365960, 4365955, 4365950, 4365945?\n\"Answer: -5*v + 4365965","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*g + 30431 + 52526 = 0. Suppose 6*x + x = g. Let d = 246 + x. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6 a factor of 151584813?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 722 at most -14436?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 69004958 to the nearest integer?\nAnswer: 410","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"}
{"text":"Question: What is (1\/1 - -11) + 17710\/9614 + 6\/38?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Are -427 and -426 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -1 - 199?\nAnswer: -19a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 2336 and 1184.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ywywyyybwyywwywywybm. What is prob of picking 1 m and 1 w?\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = -4*g + 25. Let j(x) = x**3 + 6*x**2 + 5*x. Let f be j(-4). What is v(f)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*v - 19*v + 2*n + 20 = 0, 0 = 4*v - 3*n - 24. Let i(s) = 75*s + 36. Let q be i(v). What is the greatest common divisor of 29 and q?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in 1\/4, -8702, -2\/7, -3, 51?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.35 - -0.05. Let x be ((-1)\/300 - 668\/8350)\/(1\/(-3)). Which is the nearest to 0.1?  (a) -1\/2  (b) i  (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*d - 4*s + 1130391, -d + 235226 = -2*s + 9145. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 156 divide 62058984?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = -2*y + 4. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 209\/(-38) + (-6)\/(-4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Does 5 divide 3561740?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 1 - z + (-2*z + 0*z + 3*z)*(-1 - 3 + 2))*(-3 + 3 + 2*z**4).\nAnswer: -6*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Determine w, given that 54*w**5 + 318900*w**4 + 470430506*w**3 - 1151268348*w**2 + 855041208*w - 174522320 = 0.\nAnswer: -2954, 1\/3, 1, 10\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = -34*c**3 - 30*c**2 + 3*c. Let t(h) = -h**2 - h + 12*h**2 - 12*h**2. Let a(b) = -3*t(b) - v(b). Find the third derivative of a(k) wrt k.\nAnswer: 204","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 27195 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.05898 to three decimal places.\nAnswer: 0.059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = -5 - 5*c**2 - c + 2*c + 19*c**2 + 6*c. Suppose -4*z = 3*s - 16, -2*z = 2*z - s - 16. Is i(z) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = -7*u**2 - 8*u - 7. Let v(p) = -p**2 - p - 2. Let k(z) = -s(z) + 4*v(z). Let h be k(1). Solve -t + h*t = 25 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = -370*m - 296. What is j(-1)?\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ugjujggjuguggugjggg. Give prob of sequence gug.\nAnswer: 25\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = 12*g**3 - 4*g**2 + g + 2. Let h be l(2). Suppose -2*z + 3*z = -h. Calculate the common denominator of -149\/18 and 497\/z - (-6)\/8.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*(4 + (sqrt(7) - -3*sqrt(7))**2 + 0 + (1 + 3*sqrt(7) + -4)**2).\nAnswer: -376 + 36*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = 793*q - 50. Determine d(1).\nAnswer: 743","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 215736 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-29)\/(-464)*3\/(-3).\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 - 3*u - 2 + 7)*(-2 - 3*u + 2)*((3 - 6 + 4)*(-2 + 6 - 2) + 2 + 0 - 4 - 2 + 4 - 4).\nAnswer: -18*u**2 + 12*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (30\/60)\/(1\/12*2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.0164 and 3?\nAnswer: -0.0492","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = -48*b - 27. What is the tens digit of m(-10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -111 + 166. Is j a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r - 2 = 6. Is (r - (-9)\/4)*-20 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 510703 divided by 71\nAnswer: 7193","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = -4*i**2 + 3*i + 1. Let m(u) = 3*u**2 - 3*u - 1. Let j = 1 - -1. Let s(v) = j*o(v) + 3*m(v). What is s(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a - 2*a = 0. Let z be (-6)\/18 + 13\/3. Suppose 5*c - 4*k = -2*k + 17, 0 = -z*c + 4*k + 4. Solve a*u - u = c for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -2170 - -2184.024. Let k = a - 14. Let f = 0.02400115 - k. Round f to seven decimal places.\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {b: 1, w: 1, l: 1, x: 3, m: 1}. What is prob of picking 1 l and 1 b?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is (9\/(378\/(-7))*9)\/(15\/2)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = o - 23. Let m be -3*(13\/(-3) + 3). Let s be 34\/m*(-12)\/(-6). Let g be b(s). Let z(x) = -x**3 - 5*x**2 + 7*x - 2. Determine z(g).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1280424 to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 1797239363 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = -2*z**2 + 4*z - 3. Let s be 2 - (12 - 4 - -1). Let d = 8 + s. Let h be 4*(-3)\/(-12) + d. Calculate t(h).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1431 and 1697166.\nAnswer: 1431","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1349821 and 58033?\nAnswer: 443","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Factor -v**3\/4 + 237553*v**2\/4 - 14107738175*v\/4 - 14107975729\/4.\nAnswer: -(v - 118777)**2*(v + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -16 + 23 - (13 + 22).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 5 divided by 18637217\nAnswer: 5\/18637217","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort 741, -0.5, 2\/9, -3, -4\/7 in decreasing order.\nAnswer: 741, 2\/9, -0.5, -4\/7, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is (-9204)\/(-546)*(-518)\/(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = s**2 - 13*s + 28. Give y(8).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*f**2 + 6*f**2 - 5*f**2.\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -456157*j**2*p**3 - 2*j*p**3 + 437*j*p**2 - 3*j*p - 88*p**3 wrt j.\nAnswer: -912314*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from zzhzzhzooozzhzzozz. What is prob of picking 3 z and 1 o?\nAnswer: 11\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -1*10\/(-16)*8\/(-20)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 26 - 10*q + 26*q - 13*q - q.\nAnswer: 2*q + 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -82 + 81 - (11 - 1).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -24*a**2 + 21*a**2 + 8163*a**3 + 2*a**2.\nAnswer: 8163*a**3 - a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = -v**3 - v**2 - v + 1. Let y(w) be the third derivative of w**5\/60 + w**4\/12 - w**3\/2 + 2*w**2 + 133*w. Let j = 0 - 2. Calculate j*k(b) - y(b).\nAnswer: 2*b**3 + b**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 80335998?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -388, -1062, -2010, -3232, -4728?\nAnswer: -6498","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 76, 150, 224, 298, 372?\n\"Answer: 74*i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 - 419 = -13*h. What is the smallest common multiple of 104 and h?\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = -15*b**2 - 9*b + 9. Let g(o) = -231*o**2 + 75*o**2 + 76*o**2 - 4 + 4*o + 87*o**2. Give -9*g(c) - 4*u(c).\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 546 minutes after 5:07 PM?\nAnswer: 2:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sum 0.24091184642133 and 5.\nAnswer: 5.24091184642133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of ((-20)\/(5\/1))\/((-4)\/6) and 2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -f - f**2 - 2*f**2 + 0*f + 2*f**2 - 4*f + 4*f + (2 - 2 - 2*f)*(-2*f + 3 - 3) - f**2 - 12*f + 12*f.\nAnswer: 2*f**2 - f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 = 4*x - 3*x + r, -r = -1. Let v(l) = l**2 + 12*l - 9. Let z be v(-13). Let y = x - z. Solve 3*a + 12 = w - 2*w, y*w + 12 = -3*a for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine v so that -v**4\/3 + 10*v**3\/3 + 13*v**2\/3 - 22*v\/3 = 0.\nAnswer: -2, 0, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express 245797*h**2 + 0 + 5*h - 245884*h**2 + 2 as d*h + c*h**2 + j and give c.\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 56718 and 5436?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"}
{"text":"Question: Is 0 + 3 + -4 - -80 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 7 in 5, 2275, 0.03, -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 34 and 544?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 4*c**4 - 105*c**2 - 20748*c**6 - 20744*c**6 + 41376*c**6 - 3*c wrt c?\nAnswer: -13920*c**3 + 96*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -3 + -1352.9688.\nAnswer: -1355.9688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand 1 + d**2 - 1 + (2*d**2 - 2*d**2 + 4*d**2)*(-4 + 2 + 0).\nAnswer: -7*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -654.457 rounded to the nearest integer?\nAnswer: -654","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -105*m + 71 + 769 for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify j**(-3\/5)\/(j*j**(12\/5)\/j) assuming j is positive.\nAnswer: j**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*(sqrt(34)\/sqrt(2) - sqrt(17))**2 + sqrt(136)\/sqrt(72) - (sqrt(153)\/sqrt(36) - (sqrt(1700) + 0)).\nAnswer: 59*sqrt(17)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: (17 - 13) + (-5 - -3) - 15\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) be the first derivative of 3*b**4\/4 - 16*b**3\/3 - 12*b**2 - 115*b - 319. Let p be n(-35). Round p to the nearest ten thousand.\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 412028?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = 5*r**2 - 3*r + 1. Let j be n(1). Suppose -j*f = 2*f - 20. What is the least common multiple of f and 22?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 9388\/10 - (1 + 0). Let i = 943 - l. Find the common denominator of i and -9\/11.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 23\/22 and -75\/22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1 + 11 + -5 + (8 - (-1 - -11)) + -52?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = -6*i**2 + 69. Let z(q) = -q**2. Determine v(z(x)).\nAnswer: -6*x**4 + 69","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 212455 divided by -42491\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from gcstssiiighicii. Give prob of sequence ii.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 1791500 rounded to the nearest ten thousand?\nAnswer: 1790000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 1294 + -1365 + 17 + 1?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1 or -136\/128845?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 417 - 227. List the prime factors of c.\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = -15*p - 311. Let y be s(-21). Let d be -3 + (4*5 - -3). Calculate the highest common factor of d and y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 2383985?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*f**3 - 28572*f**2 + 142898*f - 171492.\nAnswer: -2*(f - 3)*(f - 2)*(f + 14291)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 52*s + 579 = 85 - 130 for s.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*g - 7*g - 12 = 0. Solve 3*l + 6 = -3*h, 3*h + 6 = -2*l - g for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -115 - (108 - (-42161)\/(-189))?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 232?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-5)\/20 - (-42)\/8. Let d be 1*154\/7 - 0\/(-2). What is the third derivative of 16*p**5 - d*p**2 - 21*p**5 - 32*p**y wrt p?\nAnswer: -2220*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 265*k - 152*k - 134*k.\nAnswer: -21*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 4 in 0.03, -2\/7, 8\/15, 427?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-8 - (-4 - (-3 + 3 - -3))) + 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -270504 divided by -2312?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 3107\/78 + 1\/6. Let f be 18\/((-1)\/((-10)\/4)). Solve -4*u - u = 3*o - y, -4*o + f = 5*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -5 divided by 1802\nAnswer: -5\/1802","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s + 10 = -5*l - 5, 2*l - 2*s + 12 = 0. Suppose -4*m - 20 = -x, 5*x - 5*m = 15 + 25. Let i = x - l. Calculate the highest common factor of 55 and i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 16, 29, 42, 55, 68, 81?\nAnswer: 94","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 225 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -m = 843 - 873, 0 = -n - 20*m + 2*m + 540 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) be the second derivative of n**4\/12 - 5*n**3\/3 - 9*n**2\/2 - 4*n. Let a be k(8). Let m = 36 + a. Calculate the remainder when 42 is divided by m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -57.6 - -53. Let f = 10.4 - k. Let x = -16 - -17. Which is the closest to f?  (a) x  (b) -2\/7  (c) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*r - 5*r - 81 = 0. What is the remainder when 78 is divided by r?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = 615*c**4 + 10*c**3 - 7*c**2 + 14*c - 389. Let t(l) = -l**3 + l**2 - 2*l + 1. Let m(h) = o(h) + 7*t(h). Differentiate m(i) with respect to i.\nAnswer: 2460*i**3 + 9*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 12, -22, -5, -3 in descending order.\nAnswer: 12, -3, -5, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 725069 divided by 27?\nAnswer: 725069\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -107 - -171. What is the tens digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(833) + sqrt(833) + 2*sqrt(833))**2 + 3.\nAnswer: 13331","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is -10220817 at least -10220817?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -3060*q*r**2 + q*r - 2014079*q - 2*r**2 - 2683*r - 25 with respect to r.\nAnswer: -6120*q*r + q - 4*r - 2683","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -155*u + 4338 = 34*u + 369. Solve -42 = u*f + 42 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v + k = -93, -73 = -2*v + 4*k - 1. Suppose -2*q = 3*q - v. Solve -3*i + q = -i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -589800 to the nearest one hundred thousand.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*r**2 + 0*r**2 + r**2.\nAnswer: -4*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -13 + 3 + -8 + -6 + -8 + 8.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -13144 - -13146. Let k(x) = -6*x + 25. Determine k(o).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-4)\/(-40)*0)\/(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10*p - 11*p + 8*z + 3 - 44 = 0, -p + 432*z - 8 = 435*z for p.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = 3 + 3*l**2 + 0*l - 3*l - l**2 + 10*l**3. Let g be h(2). Let d = g - 51. Calculate the remainder when d is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 1\/8, -4\/3, 0, -1, -2.7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 170703 and 10413?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"}
{"text":"Question: Let c be 256\/32 - (-48987)\/6*2. What is the greatest common factor of c and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-3)\/1)\/((-4533)\/(-15110))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0004744512 rounded to 6 dps?\nAnswer: 0.000474","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 91178.23871 + -0.4?\nAnswer: 91177.83871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -168 - -310. Let r = -142.059 + j. What is r rounded to two dps?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(25)\/((sqrt(60)\/sqrt(3))\/sqrt(4)))**2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 780434605 greater than 780434603?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) be the second derivative of -i**3\/6 + i**2 + 3*i. Let v(l) = 1. Suppose 2*s + 24 = 5*q, -2*q + 5*s = -12 - 6. Let g = 2 + q. Calculate g*v(h) - 2*t(h).\nAnswer: 2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -5635, -5960, -6355, -6856, -7499, -8320, -9355?\n\"Answer: -6*s**3 + s**2 - 286*s - 5344","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/2?  (a) -4\/5  (b) -0.005  (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000016734 rounded to 6 dps?\nAnswer: -0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*n + 7*n + n)*(-2 - 2 + 3) + 1 - 1 - n.\nAnswer: -7*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-27)\/(-45) - 55\/(-50)*154. What is the highest common divisor of 280 and s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -12.8 + 13. Let x = j - 0.23. Let s = x + -0.04. Is 1\/3 bigger than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5837820 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -57, -68, -77, -78, -65, -32?\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j - 20 = -2*g, 6*j + 34 = 3*g + 8*j. Calculate the least common multiple of g and 54.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -6 + -2 + -17 + 21 + (11 - 3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = -149695*v**3 - 1638*v**2 + 819*v + 2457. Let f(m) = -366*m**3 - 4*m**2 + 2*m + 6. Calculate 2*b(z) - 819*f(z).\nAnswer: 364*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l - 1052 = -4*m + 478, 0 = 2*m + 2*l - 762. Is 32\/(-16) - (2 - m) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2545306, 5090617, 7635930, 10181245, 12726562?\nAnswer: 15271881","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is -3369\/3122 greater than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -326\/57 - -96\/19. Which is the closest to x?  (a) -11.3  (b) -5  (c) -1  (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 97 a factor of 3783?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 9 a factor of ((-387)\/4)\/((-40)\/160)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) -3  (b) -31\/18  (c) -170  (d) -0.9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-4)\/22 + (-9126)\/(-99). Differentiate 6 - 6*j**4 - 92*j**2 + a*j**2 + 5 wrt j.\nAnswer: -24*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1 or -16?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 41 - 34. Suppose -q*z + 728 = -3*z. Let t be (z\/(-5))\/(1\/(-50)). Round t to the nearest one hundred.\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -3*o**4*r + o**3*r + 15*o*r + 30*r + 4 wrt o.\nAnswer: -12*o**3*r + 3*o**2*r + 15*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = 153*z**2 + 39*z + 39. Let k(l) = -8*l**2 - 2*l - 2. Let t(r) = -2*a(r) - 39*k(r). Let m(f) = 2*f**2 - 3*f. Give t(m(w)).\nAnswer: 24*w**4 - 72*w**3 + 54*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 11 + -9. Suppose -g = -3*n - 2*n - 18, -5*g + 5*n = -30. Let a = 1751 + -1751. Solve a = -5*s - b*x - 5, -g*x + 0*x - 4 = 4*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:16 PM and 6:03 AM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 743*d - 731*d - 4020. What is the second smallest value in 2\/9, d, -5\/4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 318 minutes after 7:29 AM?\nAnswer: 12:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 3493829 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = -y**2. Suppose 33 = 2*p - 3. Suppose 0 = -3*f + 4*f - p. Let z(h) = 0*h**2 - f*h**2 - 31*h**2. Calculate z(w(u)).\nAnswer: -49*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 7872398292?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -10, -55, -132, -241, -382, -555, -760?\n\"Answer: -16*u**2 + 3*u + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 108356 is divided by 252.\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 52899 a multiple of 67?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -73959 divided by 267.\nAnswer: -277","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -854369, -1708737, -2563105, -3417473, -4271841?\n\"Answer: -854368*d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*n**2 + 4*n**2 + n**2 + 7*n**2.\nAnswer: 14*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -992*q - 329358 - 28824 = -1003*q. Is q a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w + 100 = 9*w. Calculate the lowest common multiple of w and 3936.\nAnswer: 19680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -7, -249, -723, -1429, -2367, -3537?\nAnswer: -4939","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: (-10)\/(-8) - (-2)\/(-4)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = -12*b - 8*b + 13*b + 24*b. Let o(x) = -5*x. What is o(y(c))?\nAnswer: -85*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 2704734 and 106068?\nAnswer: 5409468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o + 1701 = 2*f, 25*f - 30*f = 4*o - 4298. Calculate the greatest common factor of f and 56.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -v - w - 2 = 0, -v = -2*w - 4 + 12 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -219 + 99. Let s be (-1545)\/y - (-1 + (-7)\/(-8)). Solve -2*r + s - 5 = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 102186, 204348, 306490, 408612, 510714, 612796?\nAnswer: 714858","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 105 and 77?\nAnswer: 1155","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Express (-7 + 0 - 3)*(6*y**2 - 3*y**2 + y**2 + (-6*y + 4*y - 10*y)*(y + 4*y - 7*y)) in the form w*y**2 + h + p*y and give w.\nAnswer: -280","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = f + 12. Let p be m(-6). Let y be (-1 + -144)*p\/(-60)*4. Let h = y - 53. Solve -10 = -0*k - h*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 103440 + -16517. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = 16*p**2 - 19*p - 21. Determine j(3).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = -2*c - 2. Let m be v(-4). Let a(p) = -5*p - 5. Let w = -1 + -3. Let f be a(w). Calculate the greatest common factor of f and m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 955.6167km to centimeters.\nAnswer: 95561670","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1 + -1 + 3 + -1 + 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = y**2 + 4*y - 58. Calculate r(-10).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -6\/7 or -6472\/2311?\nAnswer: -6472\/2311","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 1  (b) 0.5  (c) -1\/35  (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k + 180 = 7*k. What is the greatest common divisor of 5 and k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -49.03 - -49.07. What is the second smallest value in -3, 0.018, m?\nAnswer: 0.018","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"}
{"text":"Question: Solve -14*f - 4*o + 108 = 0, 3*f - 19 = -3*o + 2 for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 45960?\nAnswer: 2, 3, 5, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) be the first derivative of 4*a**3\/3 + 64. Let i(b) be the first derivative of 5*b**2\/2 + 3. Calculate i(l(k)).\nAnswer: 20*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((-1)\/(-1) - -2)*4. Let t = -2086 + 2104. What is the highest common divisor of t and w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d - d = 0. Let y(j) = 1 - 3*j + 1 + 2*j - j**3 + 0*j. What is the units digit of y(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -13\/9869582 or 0?\nAnswer: -13\/9869582","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = -h - 0*h. Let n(t) = -18*t**2 + 0*t + 4*t - h*t. Let i(d) = 2*d**2 + 23133*d - 7 - 23133*d + 7. What is n(i(u))?\nAnswer: -72*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Put 6, 2, -24, -4 in increasing order.\nAnswer: -24, -4, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Divide 0 by -6740.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t = 2*t - s - 56, 0 = t - 5*s - 76. Let z = -26 - -14. Let a = t + z. What are the prime factors of a?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 16728 is divided by 239?\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Convert 214220 (base 5) to base 10.\nAnswer: 7435","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*((2*sqrt(153)*4 + -3 + 4)**2 + 4).\nAnswer: -29391 - 144*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 25534 to the nearest integer?\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from emmecezctcetmtmtmec. Give prob of picking 1 m, 1 t, 1 c, and 1 e.\nAnswer: 100\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -45 = -32*z + 147 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = -2*h. Let g(j) = 206183981*j. Calculate d(g(v)).\nAnswer: -412367962*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = -11*j**3 + 6*j**2 - 9*j - 8. Suppose 17 = -6*z - 19. Let i be y(z). Suppose -17*u + 18*u = i. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 446 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {v: 2, i: 7}. What is prob of sequence vivi?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Add together 0.0272 and -6.7605.\nAnswer: -6.7333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -274969155*f*g - 164052512*g wrt f.\nAnswer: -274969155*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -213 - -215. Solve 0*p + z = -p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve d + 2 = 2*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Express ((0 - 2*q + 0)*(-q - q + 4*q) + 3*q**2 + q**2 - 2*q**2 - 8*q - 8*q**2 + 8*q)*(0 - 2 + 3) in the form b + v*q + h*q**2 and give h.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d be -10*(-10)\/900 + -1 + (-80)\/(-9). Let n(m) be the first derivative of 2*m**2 - 6*m - 1. What are the prime factors of n(d)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 488 - 1006. Let s = 988.4057547 - 470.4057274. Let v = u + s. What is v rounded to 6 dps?\nAnswer: 0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 18\/1063 in -0.1, -0.3, -4\/3, -1\/5, -4\/7, 16\/3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*sqrt(3645) + -2 + 4 - (3 + sqrt(3645) + -1 + sqrt(3645) - (sqrt(3645) + 1 + -3)))*5.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1127 and 3726.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2567 + 13155 = 3*k + 5*q, -4*k + 2*q + 14152 = 0. Let l = 5635 - k. 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 3 t and 1 u when four letters picked without replacement from ttuttuuttttt?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 3740 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2868 is divided by 559?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 1706810 to the power of 1\/2, to the nearest integer?\nAnswer: 1306","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 608 + -367. Let h = c + -241.00000147. Round h to seven decimal places.\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*a - 9 = 4*v, 4*a + 24 = -30374*v + 30375*v for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify n\/(n\/((n*n*n\/(n**15*n))\/n*n)*n*n)*n**0*n*n**(-4)\/(n\/(n**6*n)*n*n*n) assuming n is positive.\nAnswer: n**(-15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*b + 2*b + 6*b)*(2 - 2 - 2*b) + (0*b**2 - 2*b**2 + 3*b**2)*(-2 - 3 + 4).\nAnswer: -9*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-9)\/(-18) + (-2)\/4. Let k(j) = j**3 + j**2 - j + 20. Calculate k(s).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 417497.9 millennia?\nAnswer: 5009974800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) be the second derivative of -i**3\/3 - i**2 - 288*i - 1. Let l(u) = 5*u**3. Let o be l(-1). Calculate x(o).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) be the third derivative of u**6\/60 + 109*u**5\/20 - 17*u**4\/12 - u**3\/3 - 39*u**2 + 4. What is the second derivative of y(f) wrt f?\nAnswer: 12*f + 654","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 0 - 17 - 87009\/(-5083). What is the third smallest value in q, 21.9, 2, 0.1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.1584771 micrometers to meters.\nAnswer: 0.0000001584771","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1790913.\nAnswer: 3, 223, 2677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2204773052?\nAnswer: 2, 367, 1501889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -59847 or -59848?\nAnswer: -59847","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 1.2346 - 0.2346. Suppose 11 = -5*b + 1, -2*w - 3*b + 2 = 0. What is the nearest to 0 in -0.2, a, w?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 32\/(-4)*(-104)\/(-2912).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 7708 (base 16) to base 2\nAnswer: 111011100001000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 10621, 21240, 31857, 42472?\nAnswer: 53085","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 12*m - 25*m + 52. Put 0.4, m, 1\/7, -5 in increasing order.\nAnswer: -5, 1\/7, 0.4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 31027261921 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3 + ((sqrt(1300) + (sqrt(1300) + 1 - sqrt(1300)))**2 + -1 - (5 + 2*sqrt(1300))))*1.\nAnswer: 1298","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, 2643247, 24 in descending order.\nAnswer: 2643247, 24, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -23419 + 23418.99. Let o = 1.5 + -2. What is the closest to p in o, 1, 5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -197721800441.959 and 0.1?\nAnswer: 197721800442.059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) be the second derivative of 53*k**4\/12 + 5*k**3\/2 - k**2 - 3*k - 3. What is the second derivative of z(l) wrt l?\nAnswer: 106","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = -g**2 - 5*g - 3. Let c be a(-3). Let v(r) = r - 1. Let x be v(4). Suppose 0 = x*i - 8 - 4. Solve 2*t + c*l - 3 = 0, i*l + 3 = -0*t - 5*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1375661?\nAnswer: 7, 196523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 8\/(6*(-1)\/3).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 444 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.524 times -0.22?\nAnswer: 0.11528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: (-604608)\/5628 - (-884)\/119\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 22118.466 rounded to the nearest ten?\nAnswer: 22120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round -113572.19 to the nearest 10.\nAnswer: -113570","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round 2.247097 to 3 decimal places.\nAnswer: 2.247","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = 2*i**4 - i**2 - 1. Let q(v) = 26*v**4 + 9*v**2 + 46. Let s(g) = 2*q(g) + 18*z(g). Find the first derivative of s(d) wrt d.\nAnswer: 352*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(72) - (sqrt(72) - sqrt(72)*-1) - sqrt(72)) + 0)*5 - (2 + (sqrt(72) - 2*sqrt(72))*-4))**2.\nAnswer: 336*sqrt(2) + 14116","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 15 + ((3 - 17) + (22 - 25) - -101)?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence yyyy when four letters picked without replacement from {g: 7, y: 5}.\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = x + 6*x + 77. Which is smaller: -9 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 41386 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 5165431171 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 88783 is divided by 4670?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -19*f**2*t**4 - 13*f**2 - 5*f*t**5 - 4*t wrt t.\nAnswer: -228*f**2*t**2 - 100*f*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ugtgu. Give prob of picking 1 t and 1 g.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 2 + 1 + (-6)\/2. Let u be (10 + m\/(-2))*-3. Let q be 16\/10 - 12\/u. Solve -5*s + 2*l = -l + 19, -l = q*s + 12 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 v and 2 x when four letters picked without replacement from {x: 3, v: 2, k: 4}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12*y = 29*r - 25*r + 112, -2*y + 84 = -3*y - 2*r for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-111 + 10*l + 115*l + 112)*(-2*l - 1 + 1) to x + n*l + m*l**2 and give m.\nAnswer: -250","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 23067 and 576675.\nAnswer: 576675","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = -j**3 - j**2 + 5*j + 2. Let l be s(-3). Solve -4 - l = -3*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -66402 = -24*w - 7530. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = -7*x. Let p = -63 + 61. Let o(j) = 3*j. Let w(y) = p*f(y) - 5*o(y). Let m(g) = -g**2. Give w(m(d)).\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -85 - -85.5. Which is the biggest value?  (a) -1  (b) q  (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = g**2 + 51*g - 98. Determine j(-53).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l + 39 = -o + 15, -12 = 4*l. Let v be ((-8)\/18)\/(5 + 68\/(-12)). Which is the third biggest value?  (a) o  (b) 0.2  (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -119 = 2*q + 15*q for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {p: 3, j: 5, q: 7, g: 2}. What is prob of sequence pqp?\nAnswer: 7\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = -o - 2. Let h be l(5). Let g = -3 - h. Let b = -33.7 - -34. What is the nearest to 0 in g, 1, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, -1826, 4, 22, 9, -3 in descending order.\nAnswer: 22, 9, 4, -3, -5, -1826","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 47923 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s**10*s**(2\/39))\/(s**(-1)\/s)**(13\/5))**(-1\/47) assuming s is positive.\nAnswer: s**(-2974\/9165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = 2*j**2 + 8*j + 8. Determine p(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Add -20325 and -9568179779.\nAnswer: -9568200104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1604 = -103*v - 662 for v.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence qjj when three letters picked without replacement from jjqqqqqqqjqqjqqjqqq.\nAnswer: 140\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (12\/20 - (216\/15)\/(-6)) + -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = -s**3 - 10*s**2 - 2*s - 13. Let b be y(-10). Let u(q) = q + 6. Let x be u(b). Let r(z) = -6 - 13*z - 6 + 0 + x. Determine r(-1).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -8 + 8. Suppose y*a - a + 15 = 0. Let p = -4 + 7. Solve -a = p*h - 0*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -318*f**2 - 3*f + 324*f**2 + 3*f.\nAnswer: 6*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 42845602?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*w - 25 - 23 + 48 + 7*w**2.\nAnswer: 7*w**2 - 5*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = -250*r**2. Let o(k) = k. Let y(j) = -j**2 + j. Let l(q) = o(q) - y(q). Give l(v(i)).\nAnswer: 62500*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = -10*l**2. Let n(t) be the third derivative of 1\/60*t**5 + 0*t**3 + 6*t**2 + 0 + 0*t**4 + 0*t. Calculate w(n(x)).\nAnswer: -10*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 10 - (6 - 3)\/1. Suppose 2*a + 2 = -4*s, -3*s + 2*a = -9 - r. Factor -6 + 4 + 1 - 3*w**3 + w**2 + w + s*w**3.\nAnswer: -(w - 1)**2*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a + 14233 = 4079. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 76720 and 89040?\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = 165*o + 117. Give m(-1).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -1c6 + 6d3?\nAnswer: 50d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -32 = 620*m - 624*m for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 3251748977?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-35 - (90 + -62)) + 35.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -17, -16, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x + 40 - 30 = 0. Suppose -44 + 294 = x*d. Suppose 0*z + 2*z - 3*s = d, -2*z = 5*s - 18. What is the smallest common multiple of z and 11?\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 208 divide 63544208?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 700 divided by -3.\nAnswer: -700\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence co when two letters picked without replacement from fofofpfffcfppcpofpfc.\nAnswer: 9\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -114*s + 225 = -687 for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = -4*m + 2. Let k(d) = -5*d + 2. Let i(h) = -5*k(h) + 4*o(h). Let j(c) = -13*c + 3. Determine -7*i(s) - 5*j(s).\nAnswer: 2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -1\/7, 5, 2\/19, -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -11, -54, -181, -434, -855, -1486, -2369, -3546?\n\"Answer: -7*y**3 + 6*y - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*t + 25 = -75. What is the smallest common multiple of t and 12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 131 + -126. Let i(a) be the first derivative of 0*a**4 - 1\/3*a**3 + 0*a + 0*a**n + 1\/2*a**6 + 0*a**2 - 3. Find the third derivative of i(b) wrt b.\nAnswer: 180*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -2, -3, -58.\nAnswer: -58, -5, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -92, -96, -100, -104, -108?\n\"Answer: -4*w - 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Express (129*r - 117*r + 94*r - 2)*(-1 - 2 + 0)*(r - 3*r + r) as w*r + b*r**2 + j and give b.\nAnswer: 318","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -1561 * -2\nAnswer: 3122","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 12 a factor of 53252?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 42*q = 48*q - 36. Let g(b) be the second derivative of 0*b**4 + 0 - 1\/30*b**5 + 1\/9*b**3 - 5*b + 1\/6*b**2 - 1\/90*b**q. Factor g(m).\nAnswer: -(m - 1)*(m + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = 9*j - 1. Suppose 0 = -2*r - 5*h + 13, -h - 1 = 2*r - 2. Sort j, 4, r.\nAnswer: r, j, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -2\/99 - 91\/396. Let y = 83699\/30 + -2790. What is the nearest to t in -0.3, 0.2, y?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -157224, -314387, -471548, -628707, -785864?\nAnswer: -943019","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*p**2 + 1310*p + 16440.\nAnswer: -5*(p - 274)*(p + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 3902369 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Work out 5 * 6921.\nAnswer: 34605","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 11 + 1 - (5 - 4).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 94628 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.4 - 0.2. Let v = 0.3 - t. Let u(h) = -2*h**2 + h - 1. Let f be u(1). Which is the closest to v?  (a) 1  (b) f  (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2529?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Add -37292 and 2.\nAnswer: -37290","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -29257 minus 0.27?\nAnswer: -29257.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 252 a factor of 79601431?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*g - 5 = 2*f + 8*g, 0*g = -12*f - 5*g - 19 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ryy when three letters picked without replacement from yryrryyryyy?\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find d, given that 8*d**3 - 283*d**2 + 377*d - 102 = 0.\nAnswer: 3\/8, 1, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = 11*n**3 - 7*n**2 - 8*n + 5. What is j(-4)?\nAnswer: -779","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence cb when two letters picked without replacement from vfcfkbfbffkbkfffcvf.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -1.2424 + 2282.9424. Round i to the nearest one hundred.\nAnswer: 2300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -69 take away -48404749?\nAnswer: 48404680","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 14337293 is divided by 227576.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 6220.2 + -6217.1181. Let p = 0.0819 - f. Which is the nearest to -2?  (a) -1\/4  (b) -2\/9  (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(128)*-1 - sqrt(128))**2 + -3 + 2 + sqrt(2) + (4 + sqrt(98) + sqrt(98))**2 + (-2 + sqrt(6)\/sqrt(3) - sqrt(2)).\nAnswer: 113*sqrt(2) + 917","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -7 - (22 - 18 - (1 + 7))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) be the second derivative of 31\/15*p**6 + 13*p + 0*p**4 + 0*p**5 + 0 + 0*p**2 - 19\/6*p**3. Find the second derivative of l(h) wrt h.\nAnswer: 744*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*(2 + (-5*(sqrt(108) + -2) - sqrt(108)) + sqrt(108) + (sqrt(108) - 2*(sqrt(108)*2 + sqrt(108)))))**2.\nAnswer: -51840*sqrt(3) + 393984","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -289 + 196. Is d greater than -278\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) be the second derivative of x**4\/12 + 7*x**3\/6 + 15*x**2\/2 - x. Let r be 1885\/130*480\/(-1160). What is m(r)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 1675*b**3*q - 2603*b**3 + 9*b**2*q - 45*q - 1001 wrt b.\nAnswer: 10050*q - 15618","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 q when three letters picked without replacement from rqrqrqqrrrrqq.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = -i**3 - 4*i**2 + 3*i + 1. Let u be y(-5). Let x be 3 + 0 - (-1 + 1). Suppose 7*b - 484 = x*b. What is the greatest common divisor of u and b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i*i**9)\/(i**(-9)\/i)*(i\/i**6)\/(i*i*i**(-13)) assuming i is positive.\nAnswer: i**26","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -739, -1489, -2229, -2953, -3655?\n\"Answer: n**3 - n**2 - 754*n + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d = -3*z + 184, 5*z + d = -3*d + 320. Suppose 0 = -2*c + 3*h + z, -36 = -c + h - 0*h. What is the tens digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = -z**3 + 8*z**2 - 8*z + 6. Suppose -4*i + 8 + 12 = 0. Suppose -3*m = -i*m + 14. What is h(m)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of -9 and 0.12928551705.\nAnswer: -8.87071448295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) be the third derivative of -n**4\/8 - n**3\/2 - 3*n**2. Let z be (-2)\/(65\/30 - 2\/12). Let c be i(z). Is 5\/6 greater than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {m: 1, p: 1, t: 2}. What is prob of sequence tptm?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ug when two letters picked without replacement from cgggguugukgkug.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, -21, -1, -5, 4, 0 in ascending order.\nAnswer: -21, -5, -2, -1, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 305 minutes before 1:58 AM?\nAnswer: 8:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4\/9, 1\/10, 3\/4 in decreasing order.\nAnswer: 3\/4, 4\/9, 1\/10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 49 + (-99 - -47) - (-3 - (-6)\/(-327))\nAnswer: 2\/109","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = 3509*t**2 + 8*t + 3. Let s be i(7). Suppose -s = -3*u - u. Round u to the nearest 10000.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 407 and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -1*(-6)\/18*-24?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express 4*h + 0*h - 2*h + (h + h + 0*h)*(3 + 2 - 3) + (1 - 2 + 0)*(h - 2*h + 2*h) + 5*h - 3*h + 4*h in the form g*h + i and give g.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 199, 190, 169, 130, 67, -26?\nAnswer: -155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 6013 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is (1 - 3) + 5 + -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 107, 211, 377, 599, 871, 1187, 1541, 1927?\n\"Answer: -g**3 + 37*g**2 + 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -4, -3, 1503, -1, 5 in decreasing order.\nAnswer: 1503, 5, -1, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r\/(r*r**(8\/3)))\/(r*r**(-5))*(r**(6\/11)\/r)\/r*r*r*r\/(r*r\/r**(12\/11)) assuming r is positive.\nAnswer: r**(65\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -80897 - 426*n + 40444 + 3*n + 40453.\nAnswer: -423*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from tititttitttttt. What is prob of sequence itti?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -6 - -6. Let f(v) = v + 8. Let c be f(-8). Suppose -3*j - 2*j + 15 = c. Solve -2*d + j*d = w for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 471597 is divided by 235766.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence opc when three letters picked without replacement from {o: 1, a: 12, c: 1, p: 2, b: 3, f: 1}?\nAnswer: 1\/3420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 2354 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: Let i(l) = 8762*l - 4398. Let y(b) = -13147*b + 6596. Let a(c) = 8*i(c) + 5*y(c). Differentiate a(j) wrt j.\nAnswer: 4361","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = -s - 9. Let v be t(-4). Let z be (-1)\/v - 16\/(-20). Suppose -z = -4*m + q, 3*q - 9 = -3*m + 3. Is m not equal to -2\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2323 is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 2313680, 4625221, 6936760, 9248297, 11559832?\n\"Answer: -j**2 + 2311544*j + 2137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 10960 is divided by 343?\nAnswer: 327","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -28, 24\/5, 2, -1\/4, -2?\nAnswer: 24\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = 4*v + 9. Let l(o) be the first derivative of -o**3\/3 + 6*o**2 + 15*o - 9. Calculate the remainder when z(8) is divided by l(12).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*q**3\/3 - 12*q**2 + 22*q - 32\/3.\nAnswer: 2*(q - 16)*(q - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 1.3 - 0.1. Let k = t - 1.7. Which is the second smallest value?  (a) k  (b) 5  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -474045 divided by 2873.\nAnswer: -165","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1*-5*((-342)\/(-95) - 130\/50).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10 = 5*p + 5*c, 5*c = p + 466 - 426 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.06 + 176595.25407?\nAnswer: 176595.19407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) = 2*h**2 - 4. Let g(b) = -37 - 8 - 10 + 123 - 15*b**2 - 35. Suppose -4*i = d - 20, -3*i + 2*d + 28 = 6*d. Calculate i*g(s) + 33*j(s).\nAnswer: 6*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -14.97 + -1.03. Which is the nearest to -1?  (a) y  (b) 1\/5  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = y**2. Let k(p) = -p + 16*p**2 + 0*p + 44*p**2 - 18*p**2 - p. What is r(k(g))?\nAnswer: 1764*g**4 - 168*g**3 + 4*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*m - 3*x + 167434 - 167431, 4*m - 2*x = -26 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 528 minutes before 4:33 AM?\nAnswer: 7:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -196 divided by -1?\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-251785 + 251785 - 333*b)*(0*b - b + 3*b) + (2 - 3*b - 2)*(b - 4*b + 2*b).\nAnswer: -663*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 15 and -5?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*n - 129 = 92 - 354 for n.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k + 3*c - 864 = 0, -3*c - 4248 = -11*k + 6*k. What is the highest common factor of 48 and k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1 + sqrt(700) + sqrt(700) + -1 - (sqrt(700) + -1)*-2 - -5*5*(1 + sqrt(700)))*2 + 1)**2.\nAnswer: 49880*sqrt(7) + 2356649","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express -q - 4*q + 3*q - 2*q + 4 - 4 + (q + 0*q + 0*q)*(0 - 2 + 0) + (-4*q - 7*q + q)*(4 - 2 - 1) as a*q + i and give a.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 126 and 189.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*x + 7*x - 168. Let j be (x\/24)\/((-1)\/(-3)). Suppose 4*z = -q - 5 - 9, 0 = -2*q - z + j. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 97481 and 430.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 79299 a multiple of 81?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3901*l - 104 = -3849*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00180241922 to six dps.\nAnswer: -0.001802","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -21 + 7 + -10 + 18?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let 20*z**4 + 408*z**3 - 1680*z**2 + 1184*z + 768 = 0. What is z?\nAnswer: -24, -2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 95685759 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -2071, -2354, -2825, -3484, -4331, -5366?\nAnswer: -6589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-8)\/(96\/9)*-1*4. Suppose f = v*f - 4*b + 20, 3*f + 2*b = 10. Which is bigger: f or -2\/255?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -22407 - -36236. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 49 - -70. What is the remainder when q is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 25 = -4*c + 5*q, -5*q + 43949 - 43924 = -2*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -103 - -105. Let y be (-12)\/(-2) + (-1)\/k*6. Solve -p + 5*g = -1, -6*p + 3*p + 3 = -y*g for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -127558 = -19*y - 28*y. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1323113 (base 5) in base 9?\nAnswer: -40510","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -1 + 0.5. Put x, -3\/2, -1, -5 in ascending order.\nAnswer: -5, -3\/2, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.1807 + 0.05. Round h to three decimal places.\nAnswer: -0.131","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) be the first derivative of -10\/3*j**3 + 25\/8*j**4 + 7\/24*j**6 - 1\/2*j - 3\/2*j**5 + 15\/8*j**2 - 39. Factor k(p).\nAnswer: (p - 1)**4*(7*p - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -194, -218, -266, -344, -458, -614, -818?\n\"Answer: -x**3 - 6*x**2 + x - 188","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 46304495571 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 2 + -8. Let h = q + 10. Suppose -h*g = 3*o - 1 - 0, 0 = -2*o + 2*g + 10. Solve 8 = 5*b + 2*x, -11 + 1 = -o*b + 4*x for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x + 4*q - 9 = q, 3*q = 3*x - 3. Suppose b = 55 - x. What is the greatest common divisor of 212 and b?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 54924 and 35773832.\nAnswer: 107321496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1505 - 1529) + 2 + 51.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-33 + 33 + 9*b)*(717*b - 139*b**2 - 358*b - 357*b) + 2*b - 1 - b**3 - b**3 + 0*b.\nAnswer: -1253*b**3 + 18*b**2 + 2*b - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + -6*(sqrt(2) + 1).\nAnswer: -6*sqrt(2) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express 4 + 5 - 9 - 12*w in the form k + s*w and give s.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(48) - (sqrt(48) + sqrt(48)*1))\/sqrt(4) + -6*sqrt(48))\/((sqrt(6) + sqrt(54))*6 + sqrt(6) + sqrt(6) - (sqrt(42)\/(sqrt(7)*1) + sqrt(6))).\nAnswer: -13*sqrt(2)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*m - 5*s = 55, 0 = 9*m - 5*s - 174841 + 174884 for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 15, 3, 9, 8, 776 in decreasing order.\nAnswer: 776, 15, 9, 8, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + (sqrt(40)\/((sqrt(4) - (sqrt(100) + sqrt(4)))*-6))\/((sqrt(2) + sqrt(32))*-1 - (sqrt(242) - (sqrt(242) - sqrt(242)*-1))).\nAnswer: sqrt(5)\/180 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00003 to five dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**(-3\/2)\/k*k**(-1\/2))\/(k*k**(-9\/5)\/k*k\/(k\/(k*k**(2\/5)))) assuming k is positive.\nAnswer: k**(-13\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f = -r + 1, r - 2 = -1. Put -3, f, -4, 5 in decreasing order.\nAnswer: 5, f, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-16)\/72*-6)\/(4632\/5211)\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 147e28 (base 16) to base 6.\nAnswer: 44441400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round 13165000 to the nearest one million.\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 338 divided by -1758431?\nAnswer: -338\/1758431","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify k**(-1\/11)*(k\/(k**(-14)*k*k))\/k*(k\/(k*k*k*k**(-3\/11)))**37 assuming k is positive.\nAnswer: k**(-52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 greater than -56\/37?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 0.1, -4, -1, -215, 2\/9, 0.223?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1435050 and 5400.\nAnswer: 1350","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 = 5*h - 7*h. Let r = 12 + h. Let z = -9 + r. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 1\/(-5) + (-11667)\/15. Let y = z - -1096. List the prime factors of y.\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 6, 0.3, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = -4*o**2 + 619*o + 1232. Calculate q(-2).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3 + (-2*sqrt(275) + -1)*-6 + -5)*-1.\nAnswer: -60*sqrt(11) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -27 = -13*r + 4*r. Suppose 2*n - r*a + 14 = 5, n = -3*a + 9. Suppose 4*p - 11*m = -6*m + 536, n = 3*p + 3*m - 429. What are the prime factors of p?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) be the first derivative of 3*i**2\/2 - 19*i + 903. Calculate p(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2 + 2 - u + (6 + 1 - 2)*(-1 + 1 - 2*u))*(-2*u**2 + 2*u**2 + u**3) to the form b + q*u**4 + j*u**2 + s*u + z*u**3 and give q.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -40*j + 34*j = -2304. What is the least common multiple of 7 and j?\nAnswer: 2688","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 24*k**2 + 10514631*k - 10514631*k.\nAnswer: 24*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 43\/5 and -51\/223124359.\nAnswer: 1115621795","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Factor 44\/21 + 2\/21*o**3 - 20\/21*o**2 - 26\/21*o.\nAnswer: 2*(o - 11)*(o - 1)*(o + 2)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 117 minutes after 2:10 PM?\nAnswer: 4:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 3647 and 49.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1\/278 or -48.01?\nAnswer: 1\/278","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*y**3\/5 - 296*y**2\/15 - 2*y\/3 + 28\/15 = 0. Calculate y.\nAnswer: -7, -1\/3, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -220*j + 118*j + 105*j.\nAnswer: 3*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(20)\/(sqrt(12)\/sqrt(3)))**2 + 2.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = -q + 2. What is d(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Put -41, 8, -2, -5, 25, 10 in increasing order.\nAnswer: -41, -5, -2, 8, 10, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 1926 to the power of 1\/2, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-14345)\/(-55) + (-57)\/(-11) + -5. Let k = -27 + v. Is k a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = g**3 + g**2 + 4. Let y be s(0). Let a = -5 - -8. Suppose 54 = a*r + 3*v, -22 = 4*r + v - 94. Solve 2*l + y*h - r = 0, 0*l + 19 = 5*l - 3*h for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = 2*c**2 + 235*c - 17641. Give j(52).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 20172 and 67678044.\nAnswer: 492","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Divide 542 by -30.\nAnswer: -271\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 5504 a multiple of 64?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -112 + 169. Suppose -3*d - 10 = -550. Suppose 3*u - d = k. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (46 - 49)*1\/(-3). Let c = 5128\/7 + -731. Which is smaller: c or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -1\/2, -2, -0.1982?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1788?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express 4*q**2 + 2992*q - 6*q**2 + q**4 - 3462*q as v*q**4 + g + a*q + n*q**3 + y*q**2 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 26.75781 months?\nAnswer: 0.22298175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 8 + -17. Let l = 5 + p. Let h = 0.26 - -0.04. Which is the third smallest value?  (a) h  (b) l  (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: (7\/84)\/(1\/3)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 35 - 20. Suppose -4*c = s - 5, 2*c - 7*c + 13 = -s. Suppose -15 = -4*a + c*o + w, 4*a - o - 33 = 0. 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 hundred millions digit of 320944674?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Put -196, 1, 8, 0 in decreasing order.\nAnswer: 8, 1, 0, -196","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3380 is divided by 410?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 432763\/30 - 14421. Find the common denominator of 32\/27 and w.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u\/(u*u\/((u\/u**(1\/16)*u*u*u)\/u)))**(-2\/5) assuming u is positive.\nAnswer: u**(-31\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d + 4 = d. Let p be 2 - (-12 + 9)\/(1 - 2). Let r = p + d. Which is smaller: r or -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 183 + -122. Suppose -v + 175 = -u. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 8 + -1466.\nAnswer: -1458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is (5 + -41)\/(-9)*(-2)\/(40\/(-15))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1a305 (base 15) in base 6?\nAnswer: 1453435","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -279592, -559183, -838774, -1118365, -1397956?\nAnswer: -1677547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 37*x**4 - 74*x + 3 wrt x?\nAnswer: 444*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = o**2 - 45*o + 319. Let u be v(36). Sort 4, 1, -33, u, -1 in descending order.\nAnswer: 4, 1, -1, u, -33","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -936, -1719, -2492, -3249, -3984, -4691, -5364, -5997?\nAnswer: -6584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 5889849524 divided by 4\nAnswer: 1472462381","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -38572161*k*u + 38*k + 156781 wrt u.\nAnswer: -38572161*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) 3\/5  (b) -0.069  (c) 0.4  (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1 * 169.\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -59 + 17 + 19 - k**4 + 10*k**2 + 22 to o*k**2 + j + d*k**3 + w*k**4 + r*k and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-34)\/(-102)*30\/(-44). Is x at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -9*k - 14 - 31. What is the closest to 1 in 1, k, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w = 6 - 0. Let d(r) = -r**2 + w*r + r**3 + r**3 + 0 - 3. Let q be d(2). Calculate the highest common factor of 15 and q.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -0.06 and 3977?\nAnswer: 3977.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 899487 and 612.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 279225 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: Let h(a) be the third derivative of -31*a**4\/24 + 14*a**3\/3 - 1574*a**2. Let z(k) = -2*k**2. What is z(h(f))?\nAnswer: -1922*f**2 + 3472*f - 1568","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = k**3 + 5*k**2 - 2*k + 2. Let m(c) = c**2 + 1. Let b(w) = m(w) - u(w). Suppose 18 = -0*f - 4*f + 5*n, f - 3 = 5*n. What is the tens digit of b(f)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from jfgjffgfgffggfg. Give prob of sequence ggj.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 192*a**3*u + 4*a**3 + 194*a**2*u - 14*a**2 + 438*a*u - 1532*a - 6 wrt a.\nAnswer: 1152*a*u + 24*a + 388*u - 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -71*j = -67*j + 12. Let a(m) = -7*m**2 - 2*m + 10. Let g(w) = -9*w**2 - 4*w + 11. Let u(l) = j*g(l) + 4*a(l). Suppose 2*b - 25 = -3*b. What is u(b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i = 5*i. Suppose 4*c + 0*c = i. Determine n so that c + 6\/5*n**2 + 1\/5*n = 0.\nAnswer: -1\/6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -36*h**2 + 103*h**2 - 35*h**2 - 31*h**2 + h**3 - 2*h - 2 to the form w*h + g*h**2 + j*h**3 + n and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -4 + 3 + (4 - -3) + 0.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -6427, -5963, -5499, -5035, -4571?\nAnswer: -4107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (r**2 - r**2 - 6*r**3)*(-1423*r + 2 + 1680*r - 2) + (-3*r - 5*r + 3*r)*(2*r**3 + 0*r**3 - 4*r**3) to c*r**4 + v*r + k + g*r**3 + q*r**2 and give c.\nAnswer: -1532","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -w - 3*w. Let c(l) = l**3 + l**2 + l - 68000. Let d be c(w). What is d rounded to the nearest ten thousand?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) be the second derivative of 40*g**2 - 3 - 7\/6*g**3 + 0*g**5 - 1\/15*g**6 + 0*g**4 + 3*g. Differentiate l(z) wrt z.\nAnswer: -8*z**3 - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 72 a factor of 3985077368?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15 + 0 = 5*x. Solve -5 = c + v, -5*c + x = -2*v - 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 155619 divided by -10?\nAnswer: -155619\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert -504020 (base 10) to base 7.\nAnswer: -4166306","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j**2 + 12*j + 32 = 0. What is j?\nAnswer: -2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 34807 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-29 - 5 - 4)*(-5*r + 5*r + 2*r)*(84*r - 84*r + 14*r**3).\nAnswer: -1064*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = 5*v**2. Let b(r) = r**2 + r. Let y(w) = -44*w**2 - 55*w. Let h(s) = -55*b(s) - y(s). Let u(o) = -4*h(o) - 10*i(o). Let j(l) = -3*l. What is u(j(f))?\nAnswer: -54*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2\/(4*(-12)\/(-32)).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(6655) - -5*sqrt(6655)*-4)*-3)\/(-6*1*sqrt(891)*1).\nAnswer: -209*sqrt(5)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of ((-15)\/20 + 1)*604?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) be the third derivative of -t**4\/3 + 35*t**3\/6 + 42*t**2. Let v be g(4). Solve v*q - 5*q = -8 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 8966\/19 - 472. Suppose -g = l + 1, -l = g - 4*g - 3. What is the biggest value in j, l, -0.25?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -10000010 (base 3) to base 13.\nAnswer: -cc6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s + 5*t - t = -6, 3*t + 3 = s. Let k be -33*s\/(-9)*-1. Let i = k - -28. What are the prime factors of i?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*l + 10 = 7*x, 4*l = -x + 2 - 3 + 7 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*b + 5*l + 92, 4*b - 68 + 200 = 5*l. Let k be (-7)\/b + 1 + (-5)\/4. Suppose k = 30*x - 26*x - 20. Solve 0 = -x*a - 2 - 3 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -175, -345, -515, -685?\n\"Answer: -170*r - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = -2*s + 287. Let f(k) = -10*k - 13*k - 11*k + 38*k - 6*k. Determine f(i(u)).\nAnswer: 4*u - 574","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 14133719 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 3 in 6, -1\/5, -4?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = 5*t**2 - 3*t + 4. Let i(c) = 2*c**2 + 2*c**2 - 3 - 2*c + 6. Let w = 0 + 2. Let p(z) = w*m(z) - 3*i(z). Differentiate p(u) wrt u.\nAnswer: -4*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (18\/(-288))\/((-1)\/(-66)). Which is smaller: d or -4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 b and 1 t when three letters picked without replacement from {t: 7, b: 2, v: 5}?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 227870, 227862, 227864, 227882, 227922, 227990, 228092, 228234?\n\"Answer: p**3 - p**2 - 12*p + 227882","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 16 a factor of 12736?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1672 and 286?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 2736 + -2711. Solve 41 + 34 = r*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in one tenth of a kilogram?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -5\/4 in -0.2, 0.5, 13, -0.1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: (-59)\/(-6254)*106*-83\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 173\/9 - (-848)\/(-3816).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 r and 1 s when two letters picked without replacement from rsnr.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 28 is divided by 11.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -100*q + 785 - 2341 + 778 + 778.\nAnswer: -100*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Express o**3 + o**4 - o**3 + (2*o**2 + 1 - 1)*(-15*o**2 - 106*o + 106*o) as v + y*o**4 + u*o**2 + q*o + i*o**3 and give y.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 11 + (-70 + 10 - -38).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 472, 987, 1500, 2011, 2520, 3027?\n\"Answer: -t**2 + 518*t - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let 1\/4*j**4 + 59\/4*j + 6 + 13\/4*j**3 + 47\/4*j**2 = 0. What is j?\nAnswer: -8, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence rkk when three letters picked without replacement from rkkrrkr.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let -3*q**3\/5 - 981*q**2\/5 - 3888*q\/5 - 3876\/5 = 0. What is q?\nAnswer: -323, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = q**2 - 5. Let a(l) = -l**2 + 6. Calculate 4*a(z) + 5*v(z).\nAnswer: z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = 22*n + 16. Let y be t(7). Suppose 6*i = i + y. List the prime factors of i.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 148.4, -2\/245, 5, -1\/10 in ascending order.\nAnswer: -1\/10, -2\/245, 5, 148.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 19556357.\nAnswer: 43, 454799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c*c**1*c)**(-45)\/(c**(-3\/4)*c**(-6)) assuming c is positive.\nAnswer: c**(-513\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = -110*j**2 + 227*j**2 - 115*j**2. Let h(m) = -m. Determine c(h(g)).\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y - o - 311 = 0, -y - 2*y + o + 187 = 0. Calculate the remainder when y is divided by -3 + 29 - ((1 - -5) + -2).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 9 divided by -947.\nAnswer: -9\/947","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 1 - 1. Let k(c) = c**2 + 7*c + 7. Let d be k(-6). Let x(z) = 2*z**2 + 120*z + 847. Let f be x(-52). Put d, f, r in decreasing order.\nAnswer: f, d, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 102.91 - -2.09. Let z = 49 - b. Is 0.1 less than or equal to z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-1 + 4 - 5)*(2*c - 4*c + 7*c)*(10 - 3*c - 19 - 18) to o*c**2 + k*c + i and give k.\nAnswer: 270","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 90*s - 554 = -25*s + 21 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -89167085, -178334165, -267501245?\nAnswer: -356668325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = -z**2 + 9*z - 8. Let t be p(8). What is the derivative of 3 - 3*l**3 - 2 + t*l**3 wrt l?\nAnswer: -9*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*(-2 + -1*sqrt(99) + sqrt(99) + (-4*(sqrt(99) + 0 - sqrt(99)))**2 - (-2 + sqrt(99) + 6*(0 + sqrt(99)))**2*4).\nAnswer: -336*sqrt(11) + 19422","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 6 a factor of 10164?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*h + 4*h - 2*h)*(-2*h + 2*h - 2*h**2)*(1 - 1 - h) + 2*h**3 - 2*h**4 - 2*h**3.\nAnswer: -6*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00098181 rounded to 5 dps?\nAnswer: -0.00098","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Factor -r**2\/6 - 5457*r - 89336547\/2.\nAnswer: -(r + 16371)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 829663 is divided by 290.\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o = 1 + 1. Let p be o*((-14)\/(-4) + -2). Let j = 1 - p. Solve 0 = -3*u + j*u - 1 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*a**5\/5 - 6*a**4\/5 - 141*a**3\/5 + 672*a**2\/5 - 912*a\/5 + 384\/5 = 0 for a.\nAnswer: -8, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from zanmysmzssnm. Give prob of picking 1 a and 1 n.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 1525130995?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is (28\/40)\/(-35*(-52)\/325)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -110101012210000 (base 3) to base 13\nAnswer: -1494309","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + -2*((sqrt(192) + (sqrt(192) + (sqrt(192)*4 - sqrt(192)))*5 + sqrt(192))*-1 + -1 + -4))**2.\nAnswer: 7744*sqrt(3) + 371833","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 18 and 90?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 279, 25, -229, -483?\n\"Answer: -254*w + 533","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = -h**2 - 18*h + 2. Let z be d(-18). Suppose 4*s - z - 186 = 0. Find the third derivative of -21*y**6 + 56*y**6 - 6*y**2 + s*y**2 wrt y.\nAnswer: 4200*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -219793 times -1.2\nAnswer: 263751.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {i: 1, q: 2, e: 2, g: 2, h: 4, r: 6}. Give prob of sequence ie.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.1 times 260693?\nAnswer: -26069.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -13 + -5?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -0.53694 * -0.2\nAnswer: 0.107388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 3078 - 3076. Solve 0*f = 4*h + s*f - 22, 4*h = -4*f + 32 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find d, given that 3*d**4\/2 + 6*d**3 - 9*d**2 - 6*d + 15\/2 = 0.\nAnswer: -5, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 16 + -14. Let u be 4\/3*(-6)\/l. Let b = 8\/17 + -90\/119. What is the second smallest value in u, 0, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 7335 (base 10) to base 5.\nAnswer: 213320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 245*k**2*w - 875164*k**2 - 259*k*w wrt w?\nAnswer: 245*k**2 - 259*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) be the second derivative of -1\/6*t**3 + t**2 - 17*t + 0. Let o(f) = -5*f + 11. Calculate -22*g(i) + 4*o(i).\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from vbhcc. Give prob of picking 2 v and 2 h.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 9398*b*v**3 + 7*b*v - 11*b + 16*v wrt v?\nAnswer: 56388*b*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (423\/2)\/(-3)*34*9\/459.\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 173485 is divided by 57802.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 3\/13, -1.6, 0?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i\/(i\/(i**(-24)*i))*i*i**(-2))\/(i\/i**(1\/9)*i)**(1\/30) assuming i is positive.\nAnswer: i**(-6497\/270)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5039 + 1063 = -497*a for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify f**(2\/23)*f*f*f**(-2\/5)*f*f*f*(f**(-2)\/f)**(-36)*f**6*f\/f**(-4)*(((f*f*f\/f**(1\/4))\/f)\/f)\/(f*f*f*f\/(f\/(f*(f\/(f**(5\/2)\/f))\/f*f))) assuming f is positive.\nAnswer: f**(55631\/460)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Does 13 divide 786?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in seven halves of a centimeter?\nAnswer: 35000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -215184, -860740, -1936672, -3442986, -5379688, -7746784?\nAnswer: -10544280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 16791250 and 530250.\nAnswer: 50373750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -2488178\/235 + 10588. Sort -3\/7, -2, g in increasing order.\nAnswer: -2, -3\/7, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 55416 and 81?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Express (-n**2 - 217*n**2 - 241*n**2 + 182*n**2 - 208*n**2 - 171*n**2)*(-n - 11 + 11) in the form s*n**2 + l*n + p + x*n**3 and give x.\nAnswer: 656","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 k and 2 c when three letters picked without replacement from {k: 1, t: 2, z: 1, s: 4, c: 7}?\nAnswer: 3\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f = f - 57. Let k = -18 + f. Solve -z + 2*z = k for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1741387, -1, 1, 7, 5.\nAnswer: -1, 1, 5, 7, 1741387","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (195 - 240) + 87 + -2.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"}
{"text":"Question: -38.59 - -4\nAnswer: -34.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 20381 and 916?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1269660 to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12 = 6*r - 2*r. Let a(f) be the second derivative of -f**5\/20 - 5*f**4\/12 + f**3 - f**2 - f. Let l be a(-6). Which is bigger: r or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b - 4*d = 0, -5*b + d = -0*d. Suppose 4*t + b*t = 5*z + 36, 5*t = 4*z + 36. What is the units digit of 2*(-14)\/z - 0?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = -5*x - 3*g + 3, 10 = 5*g. Suppose 4*f + v - 8 = 0, x*f - 2*v = -f + 11. Solve 4*m + 19 - f = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 8*f - 0*f - 24. Let c(q) be the second derivative of -1\/24*q**f + 1\/24*q**4 + 0 - 1\/8*q**2 - 3*q. Let c(n) = 0. What is n?\nAnswer: -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-6*(1*sqrt(150) - sqrt(150)))\/(sqrt(250)*-2))\/(sqrt(315)\/(sqrt(112)*1)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = -28*s**2. Let p(r) = 853*r - 1698*r - r**2 + 845*r. Give p(u(c)).\nAnswer: -784*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (4\/22)\/((-192)\/(-21120)).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 59*s - 985815 = -112*s. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.05924 - 1.1.\nAnswer: -1.04076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*g**2 + 3*g**2 - 2*g**2 + 2*g**2 - g**2 - 9*g**2 + (3*g + 0*g - 5*g)*(3*g + g - 2*g) - 2 + g**2 + 2.\nAnswer: -13*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 104 + 10?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -20632 + 20627. Sort 5, -2, y, -1, 2146 in ascending order.\nAnswer: y, -2, -1, 5, 2146","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {j: 4, f: 1, d: 2, z: 2, y: 3}. Give prob of sequence jfzy.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 381079 is divided by 381052.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -2399 or -108?\nAnswer: -108","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from vvvcvvvvvvcc?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -52350.306 - -51891. Let p = 6.436 + t. Let i = p + 451. Round i to one dp.\nAnswer: -1.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 27*b - 29 = 25. Is 19933\/2 + (3 - 5\/b) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m = -21 + 7. Let s = 71 - 71. Suppose 2*c - m*c = s, -2*q - 5*c = -172. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1199\/5 or 239?\nAnswer: 1199\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -2595 + 2599. What is the second smallest value in q, -0.3, -2\/13, 91?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1)\/(13*(-11)\/(-286))*(-4)\/(-160).\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = y + 20*j - 17*j - 21, 0 = -5*y - 2*j + 79 for y.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 45 - 65. Let t = -18 - w. Solve -k + 3 = -z, t*z - 4*k = -k - 9 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*l - 2*g - 165 + 79, 0*l = 5*l + 4*g - 68 for l.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -211\/11?  (a) 4  (b) 3\/8  (c) -243  (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -42, -40, -38?\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2000, -2048, -2096?\nAnswer: -2144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (33*s + 36*s + 130*s)*(1 + 1 - 4 + 1 - 3 + 4 + (-4 + 3 - 1)*(-1 - 1 + 0)) to n*s + a and give n.\nAnswer: 796","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = r**2 + 5*r - 9. Let o be z(-7). Suppose y - 1369*d = -1368*d + 3, 2*d = 3*y - 5. Which is the closest to y?  (a) 30  (b) o  (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00059 to four decimal places.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = -5*s**2 + 2*s - 1054. Let b(v) = -22*v**2 + 9*v - 4221. Give -2*b(j) + 9*q(j).\nAnswer: -j**2 - 1044","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert 51.69096ml to litres.\nAnswer: 0.05169096","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (10\/(-3))\/(1272\/212)*3\/(30\/(-2)).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2462?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -193*r - 577*r + 81376 + 14960 = -101*r for r.\nAnswer: 144","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (1\/(-3))\/(1\/(-3)). Let r(z) = 35*z - 1. Let u be r(a). Let v = 59 - u. Is v a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6491819 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = 8*m**2 + 26*m + 6. Let n(c) = -3*c**2 - 9*c - 2. Let r(g) = 11*n(g) + 4*t(g). Let f = -54 - -58. Calculate r(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*a = -90 + 110 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: ((-3)\/7)\/(((-110)\/(-105))\/11)\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -8825891, -8825896, -8825903, -8825912, -8825923, -8825936, -8825951?\n\"Answer: -f**2 - 2*f - 8825888","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*l**3 + 294*l**2 - 290472*l.\nAnswer: 3*l*(l - 266)*(l + 364)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2305711 is divided by 32?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4550\/(-15400) + 18\/33.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -0.2, -4, -23\/5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 205801 and 31571.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 6?  (a) 2\/15  (b) 374  (c) 1\/42\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-2 - (-16)\/4) + -186. Let p be 99\/27*(h - 2). What is the remainder when 6\/(-4)*p\/33 is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = -3*s**3 - 103*s**2 - 42*s - 32. Let r be m(-34). Suppose -15*t = -27*t + r. Solve 20 = t*w - 16*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -596 - -577. Let k(d) = -2*d**3 - 2*d**2 + 3*d - 4. Let m be k(-3). Let x = m + w. Solve 5*o + x*y + 5 = 0, -3*o = 5*y - 2 - 8 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-38120)\/275 + 4\/(-22). Let g = -138 - r. Let i = -5308\/3 + 1752. Calculate the common denominator of g and i.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 102748162 a multiple of 818?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 754.60542 + -0.66542. Round y to the nearest one hundred.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = 247*d**3 + 5*d**2 + 5*d + 165. Let x(a) = 859*a**2 - 430*a**2 - 428*a**2 + a. Let j(s) = -r(s) + 5*x(s). What is the first derivative of j(b) wrt b?\nAnswer: -741*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 5 divide 5929?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 140521 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 5\/4 of a kilometer in meters?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1.478?  (a) -38  (b) 5  (c) -2\/11  (d) -3  (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 10087126?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -302701*q**3 + 110850*q**2 + 2*q.\nAnswer: -1816206","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = -f**2 + 8*f + 14. Calculate k(10).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -23*w**4 - 2*w**3 - 1562*w**2 - 145913*w wrt w.\nAnswer: -276*w**2 - 12*w - 3124","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 2846 to the power of 1\/2, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 109\/156 and -149\/48.\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = 17*p**2 + 2*p + 2. Let o be h(-2). Are 66 and o unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 1 + 40\/19 - (-64)\/(-608). Solve -5*c = -r*d - d + 4, 0 = -d + c for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 101 - 72. Suppose 5*c + 5*u = u - 26, 4*c + 3*u = -20. Let k be (-4 - c)\/((-4)\/638). What is the highest common divisor of d and k?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 641 + -405. Suppose 22*r = 23*r - i. List the prime factors of r.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -13358*i**2 - i**3 + 10*i**3 + 6587*i**2 + 6771*i**2 - 2*i**3.\nAnswer: 7*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 2*y + 2)*(2 + 0 + 0) + 328 - 439*y - 328 + 2*y + y - y.\nAnswer: -433*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -7*o**3*x**3 + 2*o**3*x**2 + 500091*o**3*x + 60548*x**3 wrt x?\nAnswer: -42*o**3 + 363288","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c - 173 - 19 = 0. Let z = -46 + c. Let a = z + -42. What is a rounded to the nearest ten?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = -167*z**2 - 225*z + 24. Let w(j) = -335*j**2 - 448*j + 52. Let q(b) = 13*l(b) - 6*w(b). What is the second derivative of q(t) wrt t?\nAnswer: -322","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s - 151 = 5*r, -5*r - 62 - 73 = 5*s. Let p = r + 58. Is 11 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 21\/4 of a hour?\nAnswer: 18900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 318 - 318. Sort -7, -5, -1, q in ascending order.\nAnswer: -7, -5, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 947688 and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-5 + 35\/(-5) - -3) + 3. Let k be (m + 2)\/2 + 8. What is the highest common divisor of 48 and k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2 in 2, -1\/8, -2840\/7?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t = 4, -4*d - 2*t + 324 = 2*t. Does 12 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 0.1 or -119836?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -21117022 - 9?\nAnswer: -21117031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 161344?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + 3 + sqrt(19) + 3.\nAnswer: 1 + sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-330)\/72)\/((-1530)\/(-918)).\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-2)\/4)\/(-17*15\/(-510)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 3148?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 31766, 32700, 33598, 34460, 35286, 36076, 36830?\nAnswer: 37548","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = -v + 8. Suppose 24 = 3*y + 3*y. Let j be a(y). Solve 0*l = -j*l + 4*h, 0 = -5*l + 2*h + 9 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -104 + 104. Solve -4*z + 2*l + 7 - 9 = u, 5 = 5*l for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -a - 47208 = -47212, 0 = -6*z + 2*a + 28 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -0.13 + 0.73. Let y = -0.2 + b. Let r = 20681\/5 + -4137. What is the biggest value in r, 0.2, y, 0.02?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 29.08172 + -366\nAnswer: -336.91828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = 13*u + 3. Let t(c) = -8*c. Let b be t(1). Let r(p) = -4*p - 1. Let o(w) = b*r(w) - 3*a(w). List the prime factors of o(-1).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 g when three letters picked without replacement from ggggggbb?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -1623 + -1?\nAnswer: -1624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand 5*p - p + 5*p + (3 - 1 - 1)*(-2*p + 2*p - 2*p) + 6*p - 3*p + 12*p.\nAnswer: 22*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -662 + 674. Suppose 0 = -2*y - y + f + 250, -f + 338 = 4*y. Calculate the greatest common factor of y and j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*l + 40 - 4. Let i be (1 - -1) + (l - -2). What is the highest common factor of i and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 550 and 24622950?\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((-91)\/(-3) - -1) + 18\/27. Let p = h + -8. What are the prime factors of p?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 119 - 114. Suppose -b*y + 1185 = 5*a, -5*y + 4*a - 2*a = -1220. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = -2*h**2 - h + 0*h - 8 - 2*h - h. Let v(f) = -5*f**2 - 11*f - 23. Let s(x) = -11*t(x) + 4*v(x). What is the first derivative of s(r) wrt r?\nAnswer: 4*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k + 43 + 29 = 0. Let j be (-11)\/(-3) - 16\/k. Suppose 0 = 4*u + 5*a - 31, -3 = 3*u - a - 12. Are u and j equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 70957.84 minutes in seconds?\nAnswer: 4257470.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24*p - 580 = -34*p. What is the highest common divisor of 55 and p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8*k + 3*k + k + 2*k.\nAnswer: 14*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -2 - -4. Let n = 377.296 + -378. Let p = -1.196 + n. Which is the smallest value?  (a) d  (b) -0.4  (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 18437?\nAnswer: 103, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = -5*v + 3*v + 2*v - 2*v**2. Let k(w) = -50*w**2 + 4*w + 6. Let b(m) = 52*m**2 - 5*m - 7. Let g(q) = -4*b(q) - 5*k(q). What is g(y(p))?\nAnswer: 168*p**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 262 + -2093\/8. Let k be (642\/(-32))\/((-3)\/(-12)). Let c = 81 + k. Put c, 1, n in increasing order.\nAnswer: n, c, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = 2*g**2 + 29*g - 13. Let s be c(-15). Solve 2*z + 20 = -3*m, -4*m = s*z - 3*z + 12 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = -6*q**2 - 2*q - 163. Let n(p) = -337*p - 1. What is n(a(z))?\nAnswer: 2022*z**2 + 674*z + 54930","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*h + 3*h + 10*h - 5*h.\nAnswer: 6*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 1875\/105 + ((-65)\/1365)\/(2\/(-6))\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:38 PM and 10:11 PM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 2397246?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + 2 + sqrt(125) + sqrt(125) + -3 + -5*(sqrt(125) - (4 + 3*sqrt(125)) - sqrt(125)).\nAnswer: 22 + 85*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from tvttktetktetteetke. What is prob of sequence tk?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 1150\/12 - (-3)\/18. Suppose 4*k = 18*k - 126. Suppose k = 5*y - j. What is the remainder when 61 is divided by y?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = 25*g + 12. Let a be k(-5). Let r = a + 127. Calculate the smallest common multiple of r and 30.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 11160.94 millimeters in meters?\nAnswer: 11.16094","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence zhc when three letters picked without replacement from hzcz?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.130202ns to seconds.\nAnswer: 0.000000000130202","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*1*sqrt(187)*-2*-4)\/(3*(sqrt(55)\/sqrt(5) - sqrt(11)) - sqrt(110)\/(sqrt(40)\/sqrt(4))).\nAnswer: -40*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 0.14, 10, 0.5, 3\/8?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) = -6*n + n + 0*n + 4*n + 8. Let t be d(9). Sort 2\/9, -0.4, t in decreasing order.\nAnswer: 2\/9, -0.4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-2)\/2 + 9 + -2. Suppose -s*c + 4*b - 10 = -4*c, -1 = c - b. Suppose 0 = -c*j + 173 - 8. What are the prime factors of j?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from gvtvbvgkttytgt. Give prob of sequence byk.\nAnswer: 1\/2184","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 100*s - 109*s + 261. Sort s, -0.1, 2\/7, 5 in ascending order.\nAnswer: -0.1, 2\/7, 5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 11*-0.53.\nAnswer: -5.83","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l + 319 - 74 = i, 2*i = -4*l + 494. List the prime factors of i.\nAnswer: 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -729 - 7?\nAnswer: -734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = 2*v**2 + 3*v - 4. Let q be w(-3). Suppose -4*d - 3*m + 28 = 2*m, 5*m = 2*d - 44. Let c be d\/5*(-2)\/(-6). What is the nearest to 0 in 0.5, q, c?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from rrerrrreerregerrrru. Give prob of sequence gu.\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = -2*k**3 - 6*k**2 - 6*k - 10. Let w(d) = -d**2 + 1. Let i(c) = w(c) + x(c). Let t be i(-5). Let z = -93 + t. Solve 2*q = -z*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-o**5 + 0*o**5 + 0*o**5)*(0 - 2 + 1)*(-3 + 3 - 2).\nAnswer: -2*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -82 = 3*m - 6*m + 5*h, 3*m + 4*h = 118. What is the second derivative of -3*q - 41*q**4 - 5*q - q + m*q**4 wrt q?\nAnswer: -84*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4023787879.\nAnswer: 31, 129799609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (3 - 1146\/465) + (-70)\/(-1085). Factor 0 + r*m**2 + 0*m.\nAnswer: 3*m**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = -a**3 + 2*a**2 + a. Let p(c) = -c**4 + 10*c**3 - 17*c**2 - 4*c. Let w(r) = p(r) + 6*t(r). Suppose w(m) = 0. Calculate m.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -15 + 21. What is the greatest common factor of j and 48?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 23 + -30?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -1ba63 (base 12) in base 15?\nAnswer: -c359","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = r**2 + 10*r + 19. Let s be m(-8). What is the highest common divisor of 2 and s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 2805, 2854, 2859, 2814, 2713, 2550, 2319, 2014?\n\"Answer: -f**3 - 16*f**2 + 104*f + 2718","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-2*j + j - 3*j)*(-j**3 - j**3 + 0*j**3) + 0*j + 0*j - j**4)*(5 + j - 5).\nAnswer: 7*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1759?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = -5*c**2 + 15*c - 56. Let o be x(16). Is ((-37)\/(-4))\/(0 + (-2)\/o) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 74463, 148869, 223261, 297633, 371979, 446293?\nAnswer: 520569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 353 minutes before 10:32 PM?\nAnswer: 4:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -6549 - -9554. List the prime factors of l.\nAnswer: 5, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -26309453, -52618902, -78928351, -105237800, -131547249?\nAnswer: -157856698","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = 50*y**2 + y + 54. What is the tens digit of q(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -12 + 0 + -55 + 66 + -25.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = -709*k - 6385. Calculate q(-9).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 43892, 44108, 44330, 44564, 44816, 45092?\n\"Answer: b**3 - 3*b**2 + 218*b + 43676","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0.03 - 0.83. Let q = v - -0.7. Which is the smallest value?  (a) 5  (b) -5  (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = -b - 6. Let v = 517 - 513. Determine t(v).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*g + 80 - 71. Let w(f) = -f**3 + 2*f**2 + 3. Give w(g).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (20\/6)\/1*18\/15?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 34 and 1020?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 12  (b) -4  (c) 2  (d) -3\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 9944229?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 32843968 and 704?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 486\/(-10) + (-28 - -29)*-13 + 3\/5?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-34 + 50)*2\/32)\/(-1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 96245 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: What is -3 + 920829?\nAnswer: 920826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -31 - -23. Let h be 27\/6 + 12\/c. Solve -2*o - 29 = 5*r - h*o, -3*r = o + 11 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -9 - (-6 + -15 + 20).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5423?\nAnswer: 11, 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 5 + -6. Let b be j*(1 - (-3)\/3). Is ((-1)\/b)\/(3\/1842) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -15954*j**3 + 63*j**2 - 2*j + 5 wrt j.\nAnswer: -95724","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 59400 (base 15) to base 13.\nAnswer: 9c5ac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 13718776 is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 652 - 616. What is the lowest common multiple of 12 and r?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -275895, -275893, -275891?\nAnswer: -275889","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.3?  (a) -3\/5  (b) 1\/160  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -10733 - -15252. Is 31 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = 10*s - 3*s**2 - 2*s + 5*s**2. Let w be u(-7). Let t = w - 24. Is t a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 28 = -3*k - 56. Let z(q) = q**3 - 2*q**2 + q - 2. Let d be z(-4). Is k\/12*d\/2 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) 4  (b) -17  (c) 1.3  (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*z + 1125 = 255. Let g(k) = k**3 + 4*k**2 + 2*k + 3. Calculate the remainder when z is divided by g(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -3 - 2. Let g be (4 + -2)*k\/(-2). Suppose 2*q + 5*c + g = 0, -5*q + 50 = -2*q - 4*c. List the prime factors of q.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((153\/136)\/(-3))\/(3\/(-10))?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 424\/17 + -3461\/119. Let u = -27\/7 - o. Factor -2\/7*j**4 + 0 + 2\/7*j**3 - u*j + 2\/7*j**2.\nAnswer: -2*j*(j - 1)**2*(j + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -14913 divided by -5.\nAnswer: 14913\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*h - 88 = -0*n + 4*n, 5*h - 20 = 0. Let p be 63\/n*(2 + 44\/(-14)). Solve o + p = 5 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let c(r) be the first derivative of -r**6\/24 - 3*r**5\/20 - 3*r**4\/16 - r**3\/12 + 7. Factor c(o).\nAnswer: -o**2*(o + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 392591 * -279\nAnswer: -109532889","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = 19*w - 117. What is o(6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -164788 - -2089676630\/12681. Is c not equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 564 - -1242. Let f be ((-4)\/(-7))\/(12\/o). Suppose 3*i + 77 = f. Solve s - 2*s - i = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = -7*j - 1. Let r be b(-1). Suppose -16*s = -13*s - r. What is the second derivative of 4 - 15*l**s - 538*l + 567*l - 4 wrt l?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*w - y = 5*w - 3, -5*w = 2*y - 6. Suppose w = -11*c - 8292034 - 4621966. What is c rounded to the nearest 100000?\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/27?  (a) -448  (b) -190  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x\/(x\/(x*x*x*x**(-2\/7))*x))**(1\/11))**(-4\/21) assuming x is positive.\nAnswer: x**(-16\/539)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7049526?\nAnswer: 2, 3, 11, 17, 61, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 16 or 5863?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -5.445 rounded to the nearest integer?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 6?  (a) 4  (b) 0.5  (c) 3  (d) -9\/5  (e) 695\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*k + 134*v + 69 = 151*v, 3*k + 3*v - 27 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -3*c**2*r - 16*c**2 + 600891*c*r - 4*r - 1161039 with respect to r.\nAnswer: -3*c**2 + 600891*c - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3710?\nAnswer: 2, 5, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 297, 1183, 2653, 4707, 7345, 10567, 14373?\n\"Answer: 292*t**2 + 10*t - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-3 - 1)*((-54)\/9 - -7).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in -0.1, 42, 0.11?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 43736 and 263197?\nAnswer: 14739032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7828 is divided by 269.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 52 in 2\/9, 9\/35, 2\/15?\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 41\/54 and 101\/245196.\nAnswer: 735588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a - 26 = -22. Sort -5, a, 4, 3.\nAnswer: -5, a, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = -13*w**2 + 4*w - 15. Let p(c) = 38*c**2 - 12*c + 44. Let o(h) = -8*j(h) - 3*p(h). Let m be o(3). Let f = -30 - m. What is the tens digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from hhmhmmmmhmhqmhmqqqmm. Give prob of picking 2 q.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is -2\/11 less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2815583*m**4 - 36*m**3 + 6263413*m**2 wrt m?\nAnswer: 67573992*m - 216","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 40447?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -35\/720912 and -29\/154?\nAnswer: 55510224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 34.746 + 0.254. Let w = k - 35. Put w, -36\/7, -0.2 in descending order.\nAnswer: w, -0.2, -36\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*p - 10*p = -4*r + 27, 5*p = r + 6. Solve 685 = p*y + 679 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 59531 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express (5*t**2 - t**2 - 2*t**2)*(-2 - 1 + 4) + 203 - 203 + 53*t**2 as f + n*t + y*t**2 and give y.\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 79213, 79211, 79207, 79201, 79193?\nAnswer: 79183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -4 divided by 76838890\nAnswer: -2\/38419445","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -6 - -6. Suppose 5*i = 4*g - 44, 2*i - i = n. What are the prime factors of g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = f**3 + 4*f**2 + 4*f. Let t be x(-3). Let r = 0 - t. Suppose 6 = 6*y - r*y. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from mmmmm. Give prob of picking 4 m.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert -3576 (base 8) to base 7.\nAnswer: -5410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 6*m**2*z + 8*m**2 + 562105*m*z**2 + 2*m - 98655 wrt z?\nAnswer: 6*m**2 + 1124210*m*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -3c9c (base 13) in base 15?\nAnswer: -28d3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = 5*h**2 - 54*h + 125. Let f(d) = d. Let j(k) = 4*f(k) + i(k). Determine w so that j(w) = 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -17 - -22. Suppose 4*k = -2*a - u + 1, 3*k + 4*a = -8. Suppose k = -n + 1 - 2. Which is greater: n or -2\/45?\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d**4 + 2024*d**3 + 10244*d**2 - 12264*d = 0. What is d?\nAnswer: -6, 0, 1, 511","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((f*f**9)\/f*f)**38*((f\/(f*f\/(f**0*f)*f))\/f)\/((f\/((f*f\/f**(-21)*f)\/f))\/f))**25 assuming f is positive.\nAnswer: f**10025","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 770926.\nAnswer: 2, 13, 149, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -50 + 50. Suppose 6*u - 26 - 10 = k. Let s be (140\/(-42))\/((-4)\/u). Solve -30 = -3*i + 5*q, 0*i - s*q = i + 10 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -7*x**2 + x**2 + 7*x**2 - 5 + (3*x - 2*x - 3*x)*(-2*x + 3 - 3) - x - 2*x**2 + x.\nAnswer: 3*x**2 - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = 2*f**2 - 6. Let k be c(-5). Let m = k + 14. What is the remainder when m is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1471 (base 11) to base 6.\nAnswer: 12433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {j: 1, a: 2, e: 1}. Give prob of picking 3 j and 1 a.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {f: 5, j: 3, s: 1, h: 7}. Give prob of sequence sjfj.\nAnswer: 1\/1456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -2 - -2113221303?\nAnswer: 2113221301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 2110033111 (base 4) to base 11\nAnswer: 385210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide 270 by -13.\nAnswer: -270\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2*p**2 + 5*p + 5*p**2 - 2*p**2)*(1 - 3*p - 1)*(2 + 0 - 5) in the form k*p**2 + y + z*p**3 + i*p and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Factor -j**4\/3 + 14*j**3\/3 + 4*j**2\/3 - 56*j\/3.\nAnswer: -j*(j - 14)*(j - 2)*(j + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y - o = -9, 0*y - 4*o - 30 = -2*y. Suppose y = -3*x + 29. What is the third derivative of x*i**2 - i**3 - 3*i**2 - 2*i**2 + i**2 wrt i?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 4784 and 1040?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.8984 + 674791850.1.\nAnswer: 674791850.9984","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*d - l - 13 = -4, 5*d + 3 = 4*l for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-12)\/(-3) - -1*2. Let m be 1 + (3 - (3 - -1)). Let c = v - m. Is c even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 280 + -279. Let q(g) = 21*g**3 - 8*g**2 + 9*g. Let x be q(t). Solve 18 = 2*z + x for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (0 - (4 - 0)) + 8 - (19 - 5).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.5 in -3, -4, 1\/4, -14\/11, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 2, -631, 24 in descending order.\nAnswer: 24, 2, -3, -631","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = -l**2 + 5*l - 2. Let o(g) = -g**2 + 4*g - 2. Let y(u) = 5*k(u) - 4*o(u). Let q be y(7). What are the prime factors of (-2)\/6 + 112\/q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1188 is divided by 12?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 258.95 rounded to the nearest 100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = -5*z - 5. Let v(q) = 15*q + 14. Give 8*f(d) + 3*v(d).\nAnswer: 5*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 4d (base 14) to base 7\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is c3 - 1c?\nAnswer: a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 24 at most -3021?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*j + 225110 - 36032 + 174770 = 0. List the prime factors of j.\nAnswer: 45481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-1)\/(-1))\/(70\/(-28)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 q and 3 g when four letters picked without replacement from ggqrqrqrgrqgqg.\nAnswer: 50\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -430 - 2043763?\nAnswer: -2044413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 114 - 12 = -17*j. Let f be j\/((-9)\/(27\/6)). Solve -l + f = 8 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -1\/4  (b) -0.003  (c) -93  (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q*q**0)\/(q**(2\/9)\/q))**(-39) assuming q is positive.\nAnswer: q**(-208\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 19142430?\nAnswer: 2, 3, 5, 638081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, 91, 2, 1\/6 in ascending order.\nAnswer: 1\/6, 2, 3, 91","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = 10*n**2 + 8. Let q(s) = 15*s**2 + 12. Let k(v) = -6*v**2 + 1. Let f be k(1). Let b(x) = f*q(x) + 8*w(x). Find the first derivative of b(m) wrt m.\nAnswer: 10*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 11709, 11122, 10535, 9948, 9361?\nAnswer: 8774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -136\/19*l - 406\/19*l**3 + 396\/19*l**2 + 16\/19 - 20\/19*l**4 + 150\/19*l**5 = 0 for l.\nAnswer: -2, 1\/3, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l - 4*l = -3*d + 6, 3 = 2*d - l. Let i be (-53)\/d + (-8)\/(-12). Let o = -20 - i. Is o less than or equal to -2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0 + 0 + 2*p)*(-p**3 + 0*p**3 + 2*p**3)*(-8305 - 7945 + 19889 - 6611) to a*p**4 + f*p**2 + h + o*p + k*p**3 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 31*r**2*x + 94*r*x + r wrt r.\nAnswer: 62*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -73*k*n**2 - 103*k*n - 174*k - 6*n**2 - 1548472*n wrt k.\nAnswer: -73*n**2 - 103*n - 174","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -144, 2, 20.\nAnswer: -144, -5, 2, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 147999?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = -6*x**2 - 15*x + 1. Let d(p) = 7*p**2 + 16*p - 1. Let l(g) = -4*d(g) - 5*k(g). Is l(-8) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.009 in 27, 0, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3475 = -10*j + 4*h - 3029, j - 5*h - 40 = 0 for j.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Does 58 divide 199160750?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth smallest value?  (a) 331  (b) 0.4  (c) 0  (d) -3\/59  (e) -1\/5  (f) -1\/9  (g) 4\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = -2*i**2. Let x be ((-4)\/(-6))\/((-20)\/(-90)). Let z(t) = 2*t - x*t + t**2 + t. Give z(c(h)).\nAnswer: 4*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = s**2 + 3*s - 3. Suppose 11 + 1 = -4*h. Let j(r) = r**2 + 2*r - 2. What is h*j(g) + 2*d(g)?\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 2414 - 2411. Solve 6 = -v + 2*v - 3*g, v + k*g = -6 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 3.778775 + -3.789. What is v rounded to three decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -9.2 - -9.071. Let m = d - 0.071. Put m, 0.5, 0 in descending order.\nAnswer: 0.5, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-18 - (-192)\/(-72))*186\/(-4). Put 2\/3, 2, d in increasing order.\nAnswer: 2\/3, 2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4015493693 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*s - 4*l + 12 = -38, -2*l = -10. Solve 0 = -5*v + 2*j + 12, 5*v - 5*j - 21 + s = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 415229 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 54 minutes after 2:08 PM?\nAnswer: 3:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 29 - (9 - 1) - (3 - 12 - -10)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 14 - (-9 - (-21 + -1))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth biggest value?  (a) 1\/2  (b) 0.4  (c) -1  (d) 22  (e) 402  (f) -2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (3 + -9 - -10) + -9.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is (31720\/(-2379))\/(4\/(1*12))?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = -51*o**3 + 2*o**2 + 2. Let z(r) = -152*r**3 + 7*r**2 + 7. Calculate -7*g(s) + 2*z(s).\nAnswer: 53*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 1\/1722, 5, 0.2, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 4  (b) 118  (c) 5  (d) -135\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-18557)\/5302)\/(3\/(-72)).\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from spwvzwpz. Give prob of picking 2 w and 1 s.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -1139505 times -5?\nAnswer: 5697525","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = -2*y**2 - 7*y + 6. Calculate h(-5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u - 58 = 5*m, m = 4*u - 2*m - 283. List the prime factors of u.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -2151 + 2141.59. Let i = w - -9.11. Sort 0, 1\/3, 2\/25, i.\nAnswer: i, 0, 2\/25, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 284739 and 100?\nAnswer: 28473900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = -10*v**3 - v**2 + 3*v + 3. Suppose 0 = -15*u + 19*u + 8. Let r be h(u). Let g = r - 0. What is the tens digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1140 is divided by 378?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:41 AM and 4:53 AM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -3474 + 3474. Which is bigger: 0.197 or s?\nAnswer: 0.197","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 47*p**2 + 34*p**2 - 35*p**2 + 0*p**3 + 2*p**3.\nAnswer: 2*p**3 + 46*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 1\/45 of a week?\nAnswer: 13440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = v**3 + 37*v**2 - 154*v + 387. What is w(-41)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 + (8 + (-9 - 6) - -12) - 14.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = -3*b**2 + 1768*b - 104070. Give p(523).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -63427, -62933, -62065, -60787, -59063?\n\"Answer: 6*c**3 + 151*c**2 - c - 63583","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 8327.\nAnswer: 11, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g = -4*x + 4427, -386 = 2*g - x - 3341. Let n = 2954 - g. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 20*h**3 - 2*h**2 - 5*h**2 - h**2 = 0 for h.\nAnswer: 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1040 and 65?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) be the first derivative of m + 14 - 105\/2*m**2. Find the first derivative of p(l) wrt l.\nAnswer: -105","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*u + 148 = -4*d, -17 = -3*d - u - 133 + 9 for d.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1111 (base 2) to base 6.\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 91\/4 of a century?\nAnswer: 2275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -611741462, -611741461, -611741460?\nAnswer: -611741459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 16 + -15 - -25 - (-15 + (5 - -1)).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-6)\/8)\/((-216)\/(-64) + -3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u - 3*m - 2 = 0, -u + 6*u + 3*m = 16. Let i be 1\/(-5) - (-15165)\/75. Let q = i - 208. Put 3, q, u in descending order.\nAnswer: 3, u, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -0.02  (b) -1\/4  (c) -2\/3  (d) 3  (e) -1\/26  (f) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 47d558 (base 16) to base 5\nAnswer: 2201121142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1007\/8 - 127. Does 0 = l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3\/4*k**5 + 3\/2*k**3 - 3\/4*k + 3\/4 - 3\/2*k**2 + 3\/4*k**4.\nAnswer: -3*(k - 1)**3*(k + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + 6*(sqrt(700) - (sqrt(700) + 2*sqrt(700) + -4))**2 + -4 + (sqrt(63) - (sqrt(189)\/(sqrt(3)*-2) - sqrt(63)) - (sqrt(6300) + -1)).\nAnswer: -1965*sqrt(7)\/2 + 16893","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 145501 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:28 PM and 2:47 PM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k**3 + 94660*k**2 - 1702424*k - 3783520 = 0. Calculate k.\nAnswer: -2, 20, 23647","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = 2*j**2. Let a(g) be the third derivative of g**4\/12 + 76*g**3 + 22*g**2 - 43. Determine t(a(l)).\nAnswer: 8*l**2 + 3648*l + 415872","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c + 18 = -14. Suppose -105 = 3*l - c*l. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 320 + -317. Suppose 3*b - 2*b - 563 = -2*u, 3*u - y*b = 840. What are the prime factors of u?\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -5 in 0, 0.4, 1\/1298, -2\/5, 0.175?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 339402014 to the nearest integer?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*f**3 - 2*f**3 - 6*f**3 + (2*f + f - 2*f)*(2*f**2 + 3*f**2 - 3*f**2) + 2*f**3 + 4 - 4.\nAnswer: -6*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -198 = -16070*c + 16059*c. Calculate the lowest common multiple of c and 507.\nAnswer: 3042","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 75037?\nAnswer: 75037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = -6*v**2 + 4*v**2 + 4*v + 8*v**3 - 1 - 2*v. What are the prime factors of z(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**(-1)*l*l\/(l\/l**8))\/(l**(-1\/4))**6 assuming l is positive.\nAnswer: l**(19\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*i - 4*i - 2*i + (1 - 1 - 4)*(-2*i + 4*i - i).\nAnswer: -10*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 32766*g**2 - 121700*g?\nAnswer: 65532","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round 606582.1516 to the nearest one hundred thousand.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 4 + -11535?\nAnswer: -11531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.88 and 0.01.\nAnswer: 0.0088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 394 minutes before 11:12 PM?\nAnswer: 4:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = 8*m**2 + 65*m - 11. Let d(s) = s**2 + 8*s - 1. Let o(w) = -6*c(w) + 51*d(w). Factor o(q).\nAnswer: 3*(q + 1)*(q + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:47 PM and 5:28 AM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -7092 (base 10) to base 13\nAnswer: -32c7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = q**2 - 15*q - 70. Calculate x(19).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 592 minutes after 12:45 AM?\nAnswer: 10:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = 9*w + 4. Let y(r) = -17*r - 7. Let g(s) = 4*y(s) + 7*z(s). Let n(a) be the second derivative of a**4\/12 - 3*a + 13. Give n(g(u)).\nAnswer: 25*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7613895 is divided by 12441.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 12928.08 + -12928. What is the smallest value in 9\/2, a, -8, -0.3, 0?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -81\/2989792 and 73\/1609888.\nAnswer: 20928544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.491 + 1.491. Which is the nearest to m?  (a) -4  (b) 75  (c) 1.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h + 141 - 31 = 0. Suppose -h = -2*y + 37. What is the remainder when y is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 38779 divided by 3\nAnswer: 38779\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 1.1 - 0.9. Suppose 2*r = 13 - 1. Let q be ((-4)\/6)\/((-20)\/r). Which is the nearest to k?  (a) 2\/13  (b) q  (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 - 4 - 2)*(-3*w + 2*w - w)*(3*w**2 - w**2 + 0*w**2 + w**2 - 1 + 1 + (-3*w - 2*w**2 + 3*w)*(-3 + 5 - 1) - w**2 + 0*w**2 - w**2)*(325 - 55 - 38).\nAnswer: -928*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**(1\/3))**(6\/17)\/(((h*h\/h**(1\/3))\/h*h)\/h*h**4*h*h*h*h) assuming h is positive.\nAnswer: h**(-436\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 221214?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*m + 49 + 11 = 0. Solve 6*v = -3*q + v - m, 3*q + 2*v = -3 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (3 + -1 + -12)\/(-23 - 675\/(-27)). Let y(n) = n**3 - n**2 + n. Let z(u) = -7*u**3 + u**2 - 5*u. What is t*y(k) - z(k)?\nAnswer: 2*k**3 + 4*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 12116*(-6 + 39\/12 + 3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -5707205 or -5707207?\nAnswer: -5707207","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*r - r + 3*r + 197*r**2.\nAnswer: 197*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {p: 1, r: 3}. What is prob of sequence rrp?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) be the second derivative of y**5\/20 - 2*y**4\/3 + y**3\/6 - y**2 + 2*y. Let d be t(7). Let c = d - -81. Calculate the common denominator of 61\/10 and c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) be the second derivative of m**7\/70 + m**6\/120 - 11*m**3\/6 + 11*m. Let b(s) be the second derivative of v(s). Find the third derivative of b(r) wrt r.\nAnswer: 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -0.04  (b) -4  (c) 2\/9  (d) -0.3  (e) -0.05\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(300) - sqrt(300)*1*5)\/(sqrt(10) + 2*sqrt(160)))\/(sqrt(30)\/(sqrt(3)*-2) + sqrt(490) + -4*sqrt(490)).\nAnswer: 8*sqrt(3)\/387","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:10 PM and 2:34 AM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -6946*c**2*t**2 + 128*c**2*t - 10*c wrt t.\nAnswer: -13892*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-1)\/((-2)\/8*2). Solve -z = 4*d + 10 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -71 or -70?\nAnswer: -70","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {n: 1, g: 2, w: 2, h: 1}. What is prob of sequence wn?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 680849 is divided by 3123.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = i**2 - 67*i + 359. Let a be n(6). Let d(f) = 26*f + 185. Give d(a).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(2816) - (sqrt(2816) - (4*(sqrt(2816) - 1*sqrt(2816)) - sqrt(2816)))**2)*-4 + (1*(2*sqrt(44) + 5)*2)**2.\nAnswer: 96*sqrt(11) + 45860","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 8816001 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*sqrt(99)*2 - (sqrt(110) - (sqrt(110) + -2*(sqrt(110) - -2*sqrt(110))))\/sqrt(10).\nAnswer: 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -3070\/13 + 236. Let m = 1216 - 1220. Which is the fourth smallest value?  (a) m  (b) 0.1  (c) s  (d) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -15.92 + 16. Let f = l - -4.92. Which is the closest to -1\/4?  (a) -0.5  (b) f  (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 915787 is divided by 103?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (8\/6)\/(14\/21). Solve 8 = g + v*d, -4*g = -3*d + 35 - 12 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18 = -8*b + 5*b. What is the smallest common multiple of b and 26?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) be the second derivative of -10*z + 0*z**5 - 2\/3*z**6 + 2 + 0*z**4 - 1\/3*z**3 - 17\/2*z**2. What is the second derivative of r(g) wrt g?\nAnswer: -240*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -0.4  (b) 3\/7  (c) 16  (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Convert -22220020 (base 5) to base 2.\nAnswer: -101111100111000010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 1 - 34*m**6 + 37*m**2 - 2*m**2 - 1 wrt m?\nAnswer: -4080*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-n + 2*n + n)*(-2*n**2 - 3*n**2 + 4*n**2) + (5 + 1 - 3)*(-3*n + 4*n - 3*n)*(0*n**2 + 0*n**2 + 2*n**2).\nAnswer: -14*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j - 3*k + 2 = 0, 2*k - 16 = 5*j - 0*k. What is the units digit of 1 - 96\/(1*j)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 30605?\nAnswer: 5, 6121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.09 * 0.28.\nAnswer: 0.0252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -0.1  (b) -1677  (c) 1\/4  (d) 7  (e) 0.4  (f) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -78 + 71. Which is the closest to -1?  (a) m  (b) -3\/8  (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in 9.927774 months?\nAnswer: 0.008273145","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2236 - 1520*u + 2227 - 1196*u - 4464 to p + o*u and give o.\nAnswer: -2716","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = 1422*v**2 + 81*v. Let o(u) = -203*u**2 - 12*u. Give 4*f(x) + 27*o(x).\nAnswer: 207*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from oalllaxalooaoll. What is prob of sequence axoo?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 299985 and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000925 rounded to 6 dps?\nAnswer: 0.000093","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence yz when two letters picked without replacement from {z: 3, y: 12}.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 691 minutes before 6:59 PM?\nAnswer: 7:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 16 and 232728.\nAnswer: 465456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -35 - -34.99938. What is n rounded to four decimal places?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w = -5, 5*v - 3*v + 3*w = 91. Suppose 0 = v*f - 39*f + 107. Let d = f + 95. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2 in 5, 257.2, -2\/7, 14?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) -1\/3  (b) -2\/9  (c) 1602\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the billions digit of 1326585068?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Put -442, -1, 0, -5 in descending order.\nAnswer: 0, -1, -5, -442","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) 115  (b) -1  (c) 0.5  (d) 1.4  (e) 2\/61\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 2624146 a multiple of 98?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 109\/560 and -27\/4379588.\nAnswer: 613142320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0 + 1 - 66561*h**3 + 10 - 4 + 66564*h**3 - 7.\nAnswer: 3*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n - 20 = -0*n. Let d = n - 6. List the prime factors of d.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = -m + 5. Let q be i(6). Let f be (-4)\/((-1)\/4*q). Is (-4)\/f - 86\/(-8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-1)\/(-42))\/(-69 - (-81242)\/1176)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -5*x + 23 - 13 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**(-1\/2)\/d)**(1\/15)*(d\/(d*d**(2\/7)*d*d*d))**30*((d*d**(-3))\/(d\/(d\/d**(-6)*d)*d))**(-22) assuming d is positive.\nAnswer: d**(-13067\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = -3*a**3 - 3*a**2 + 5*a + 7. Let c be m(-2). Suppose 3*k = 2*y - 5 - 1, -3*y = 3*k - c. Solve j = y*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-70 - -76)*(-1)\/10 - 1\/5*-308?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 4*i**2 - 3*i**2 + i**2 + (3*i - 3*i + 2*i + (2 + 3 + 5)*(0 + 2*i + 0))*(-3*i + 3 - 2 + 5) to u + n*i + k*i**2 and give k.\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = -n. Let b(y) = 74*y - 4. Let u(r) = -665*r + 38. Let a(m) = -19*b(m) - 2*u(m). Calculate a(f(l)).\nAnswer: 76*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -0.70159 - -0.70158928294. What is b rounded to seven dps?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {s: 6, y: 7, a: 1}. Give prob of sequence yyya.\nAnswer: 5\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) be the third derivative of -m**5\/5 + m**2. Let x be -85*(-2)\/20*2. Let u(r) = -x - 13 - 2*r + 30. Give h(u(o)).\nAnswer: -48*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 18762187 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -83\/106122 and 31\/4097232?\nAnswer: 94236336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = h - 4*q - 6, 35*q = h + 29*q - 10 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*d**3 - 1 + 1 + (7*d**2 + d**2 - d**2)*(-1 + d + 1).\nAnswer: 5*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 116.037965+5\nAnswer: 121.037965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 11053364 to the nearest integer?\nAnswer: 3325","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1078 + -515. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = -w**2 + 6*w - 10. Let z be q(5). Let o(x) = x**3 + 4*x**2 - 7*x - 4. Let b be o(z). Solve -2*r - r - 4*i = -b, -3*i = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 11 - 36\/30*5. Solve 0*x - 4*x = l*j - 21, 0 = 5*x - 4*j + 25 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 9*f + 64 - 64 as x*f + b and give x.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = z - 3. Let g(q) = q - 1. Let c(a) = 3*g(a) - x(a). Let r(l) be the second derivative of 0 - 4*l - 1\/3*l**3 + 0*l**2. Give c(r(m)).\nAnswer: -4*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 371 - 1?\nAnswer: 370","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (600\/(-84) + 6)*(-14)\/8. Sort m, 0, 5, -175, -3 in increasing order.\nAnswer: -175, -3, 0, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = 20*s**2 + 15*s + 9. Let g be k(-6). Suppose g = 33*n - 516. What is the least common multiple of n and 85?\nAnswer: 595","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 1\/6  (b) -0.043  (c) -2\/3  (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -22*i**3 + 170*i**3 - 74*i**3 - 23*i**3 - 56*i**3.\nAnswer: -5*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 2737882205 take away 203.2?\nAnswer: 2737882001.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 34568 is divided by 191.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5168 divided by -304.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -1 + 78966?\nAnswer: 78965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -15 divided by 79?\nAnswer: -15\/79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (9 - (-3 - -12)) + -3 + -5.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 408184?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k\/(k\/k**(-28\/3)*k)*k)\/(k\/(k*k**(-18)))*((k*k*k**(-17))\/k)**(-8) assuming k is positive.\nAnswer: k**(302\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Work out -16 * -14.\nAnswer: 224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/8 of a kilometer in centimeters?\nAnswer: 87500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from jqjqvyvxmxqm. Give prob of picking 2 v.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/13?  (a) 3  (b) -1\/5  (c) 0  (d) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify d\/(d\/(d\/(d*d**(-22\/7)\/d)))*d**(-5\/4)\/d*d*d**(-21)*d*d\/d**4*d assuming d is positive.\nAnswer: d**(-535\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -15701208580 rounded to the nearest 1000000?\nAnswer: -15701000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = 2*h**3 - 4*h**2 + h + 2. Let p be (-1)\/2 - 147\/14. Let o = 14 + p. Let f(w) = 2*w**3 - 3*w**2 + w + 1. Calculate o*c(q) - 4*f(q).\nAnswer: -2*q**3 - q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1444 or 1863?\nAnswer: 1863","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 105*((-15 - (-252)\/(-30)) + 24)?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is -11586 <= -11585?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y*y*y**(-2\/5))**(-37) assuming y is positive.\nAnswer: y**(-296\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 262 + -182. Calculate the remainder when 396 is divided by m.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 e when three letters picked without replacement from vnnvnnvnvnneneeknkn?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -14*w**5 + 48*w**4 + 8*w**3 - 2*w**2 - 63*w - 32 wrt w?\nAnswer: -840*w**2 + 1152*w + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence jjsx when four letters picked without replacement from ssjsjjxx.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 253892 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((-68)\/(-12))\/17 - 130\/(-6). Let d be 2 - (0 - 1)*0. Suppose 4 = -0*o + d*o. Calculate the highest common factor of o and r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*(-5 + ((sqrt(12)\/sqrt(4) + 2)**2 - sqrt(108)*-2)) + 0.\nAnswer: -16*sqrt(3) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = -i**3 - 5*i**2 + 5*i - 7. Let q be 4 - 4 - (1 - 0). Let d = -5 + q. Let c be m(d). Are c and -1 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (z**2 - 2*z**2 + 2*z**2)*(-3*z - z + 5*z + (-5*z - 4*z + 2*z)*(15 - 4 + 2)) to t*z + b*z**3 + d + u*z**2 and give b.\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (198\/(-231))\/((-1)\/812). Calculate the highest common factor of 24 and x.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.09, 0.2, 0.4, -0.8 in descending order.\nAnswer: 0.4, 0.2, 0.09, -0.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 21983498?\nAnswer: 2, 47, 97, 2411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -908, -1729, -2550?\nAnswer: -3371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -231474*l + 16*l**2 + 231474*l + 59*l**2.\nAnswer: 75*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*c + n + 54, 0 = 2*c - 172*n + 175*n + 36 for c.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {w: 1, v: 5, k: 6, z: 3}. What is prob of sequence vkkk?\nAnswer: 5\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2 + (-5*(2*sqrt(147) + -5))**2)*1 + (((1 + sqrt(147))*1)**2 - (4 + -3*sqrt(147) - sqrt(147))**2) + -1.\nAnswer: -3262*sqrt(3) + 13102","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Determine x, given that 3*x**5 + 40503*x**4 + 136362702*x**3 - 2331550674*x**2 - 5616830385*x + 7811977851 = 0.\nAnswer: -6759, -3, 1, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-12)\/(-10)*(-50)\/(-20). Is 25 a factor of (d\/18*-2)\/((-5)\/1335)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 40172 is divided by 13360?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-4)\/(-24))\/((-480)\/51840).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-2)\/1)\/(-21 + 3). Let l be (-9)\/6*2 + 2. Which is smaller: l or b?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: (72\/(-21))\/2 + (-6)\/(-3)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = t**3 + 12*t**2 - 24*t - 19. Let g be j(-14). Let m = 87 - g. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence onnn when four letters picked without replacement from knnsfnnnnnfnnnnonfnn?\nAnswer: 91\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -228*m = -235*m + 116648. What are the prime factors of m?\nAnswer: 2, 2083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together -0.5 and 7284601774019.\nAnswer: 7284601774018.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1860)\/2*3300\/99000.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = -1069*u - 1388. Let o(y) = -538*y - 695. Let s(z) = -5*o(z) + 2*r(z). What is the derivative of s(n) wrt n?\nAnswer: 552","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-3 - -1)\/(6\/(-60)). Is 12 a factor of ((-48)\/10)\/((-4)\/d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -414 = 28*f - 24*f + 19*f for f.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 68 + -54. Suppose 0 = 5*w - 76 - d. Is w a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.05 + -3.05. Let m = -8 - -7. Let n be 6\/(-18) - (m + 1). Put n, h, -4 in decreasing order.\nAnswer: n, h, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2490611*j**3 - 85113*j**2 wrt j?\nAnswer: 14943666","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 106876 and 616?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Factor -h**4 + 43*h**3 + 544*h**2 - 28900*h.\nAnswer: -h*(h - 34)**2*(h + 25)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 20\/9 and 23\/27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 2562, 2471, 2320, 2109?\n\"Answer: -30*t**2 - t + 2593","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 179 divide 800963?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 2 >= -399?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 423104?\nAnswer: 2, 11, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand -88*b**2 - 82*b**2 + 676 + 178*b**2 - 4*b**2 + 5*b**2 - 3*b**2 + (0 + 1 - 3)*(-b**2 + 2*b**2 - 3*b**2) - 2*b + 2*b**2 + 2*b.\nAnswer: 12*b**2 + 676","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*k = -8, 11141 = 16*l - k + 11057 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -3 or 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 1955, -9, 1, 2 in descending order.\nAnswer: 1955, 5, 2, 1, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 485 minutes before 4:11 PM?\nAnswer: 8:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) be the first derivative of 1\/3*i**3 - 2 - 2*i + 3\/2*i**2. What is n(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1278 and 1190670?\nAnswer: 426","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.045 - -0.025. Which is the closest to 0.2?  (a) 3\/8  (b) u  (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 5611?  (a) 0.3  (b) -5\/42  (c) 1  (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -3\/5, 6, -2, 3\/5?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1150 * 93.\nAnswer: -106950","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((j*j**(-3\/5)\/j)\/((j\/j**(-1\/2))\/j)*j**(-1\/5)\/j**(-1\/11))**(-7))**(-9\/5) assuming j is positive.\nAnswer: j**(-8379\/550)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 21942?\nAnswer: 2, 3, 23, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -123\/670 and -8\/19095?\nAnswer: 38190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 116, 131, 116, 65, -28, -169, -364?\nAnswer: -619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3102*m**3 + 1104*m**3 - 3893*m**3.\nAnswer: -5891*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 2130*66767\nAnswer: 142213710","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*l - 5*l + 1084 = 3*d, 4*d + 3*l = 1452. Which is bigger: 361 or d?\nAnswer: 361","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1005?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*q + 6 = -3*q. Suppose 288 = 3*p + h, -q*p + 182 = -p + 4*h. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = a**2 - 4*a - 22. Is q(-12) a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 164 is divided by 60?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 6\/1531 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -4.58 + 27.28. What is u rounded to zero decimal places?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g = -5*l, 0 = -2*g - g - 3*l. Suppose g = -6*z + 9 + 123. Is 11 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -10434410 + 10?\nAnswer: -10434400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 135.00005 + -135. Round b to 3 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify t**23*t\/t**(-1\/12) assuming t is positive.\nAnswer: t**(289\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 3 - 4)*(146 - 146 - 45*a)*(-2 - 9 + 5).\nAnswer: -540*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (1 - 1 - 2*x)*(-4 + 4 + 2*x)*(-3*x - 7*x + 2*x) to the form u*x**3 + v*x + s*x**2 + y and give u.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = 123*z + 544. Calculate x(-3).\nAnswer: 175","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 21, 109, 271, 513, 841?\n\"Answer: b**3 + 31*b**2 - 12*b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 10\/(-5) - (36 + 0). Let k be w\/14 + 4\/(-14). Let c = k - -3. Solve 4*t - 11 = m - c*t, 4*m = 5*t - 22 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*k**5\/7 - 28074*k**4\/7 - 84234*k**3\/7 - 12034*k**2 - 28080*k\/7 = 0. Calculate k.\nAnswer: -1, 0, 14040","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in n**3 + 30804 - 10*n**3 - 30804 - 5*n.\nAnswer: -9*n**3 - 5*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*sqrt(396)\/(sqrt(81) - 3*sqrt(81)) + -5)**2.\nAnswer: -20*sqrt(11) + 69","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((162\/(-7))\/3)\/((-204)\/(-952)).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) 87  (b) 0.2389  (c) -19.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 84652814?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -aa (base 12) in base 3?\nAnswer: -11211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -86 = 6*z - 116 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -6 + 9. Suppose -v*o + 12 + 18 = 0. Calculate the least common multiple of (6\/5)\/((-2)\/(-20)) and o.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 174569865 to the nearest integer?\nAnswer: 13212","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (23\/184)\/((-9)\/(-360)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence aaf when three letters picked without replacement from {a: 11, f: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((1 + sqrt(847) + 3 + -5 - (-5 + 0 + sqrt(847) + ((sqrt(847) + -1)*-6 - sqrt(847))))*5)**2*-1.\nAnswer: -1037675 + 7700*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (2 - -35974)*(-9)\/27. Let v = -17532 - w. Round v to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -8 greater than 49\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 1183842 and 14.\nAnswer: 8286894","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 2780863959?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) be the first derivative of -1 - 5\/2*c**2 - 4*c + 1\/3*c**3. Calculate the remainder when v(-4) is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w - 3 = -2*w, -4*z - 4*w = -4. Is 11 a factor of 50\/(-3 + z)*(-22)\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 192839621 and 923.\nAnswer: 923","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1001101010010000110 (base 2) to base 8.\nAnswer: 1152206","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -263*w = -5*v + 1598, -18*v + 26 = 5*w - 23*v + 32 + 44 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (4*(-1)\/(-12))\/((-2)\/(-24)). Suppose -4*x = -4, b - 5*b - a*x = 1996. Round b to the nearest 1000.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5470888 to the power of 1\/2, to the nearest integer?\nAnswer: 2339","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is -1412\/147175 bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 264 minutes before 6:04 PM?\nAnswer: 1:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Express (92*n - 29 + 29)*(-1 - 3*n**2 - 5*n + n**2 + 14*n) as i*n**3 + v*n**2 + q + g*n and give v.\nAnswer: 828","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = 3*h**2 - 7*h. Let b(j) be the third derivative of -j**5\/30 + j**4\/6 - 13*j**2. Calculate 10*b(d) + 6*n(d).\nAnswer: -2*d**2 - 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {d: 2, s: 1, u: 4}. What is prob of sequence usd?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from qyyqyy. What is prob of sequence qq?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -1, -2\/5, 2.6, 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = -5*w - 1. Suppose 4*x - 11 - 5 = 0. Let t(j) be the third derivative of -j**4\/24 - 2*j**2. Calculate x*t(i) - s(i).\nAnswer: i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -31*r**2 - 32*r**2 - 2*r + 43*r**2 to the form a*r + q + g*r**2 and give g.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.044 + 6.044. What is the smallest value in 5, 0, w?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 716 + -448. Let h = 424 - b. Let i = 72 + -60. Calculate the highest common factor of i and h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 309951911 to the nearest integer?\nAnswer: 677","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Does 1296 = 32354?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = -t + 13. Calculate the remainder when 11 is divided by m(9).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 0\/(0 - (-4)\/(-2)). Let o be (-8)\/(-20)*(5 + h). Let s be (-1)\/(-1 + o) + 1. Solve s = -2*b + b - 3 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((-2)\/210)\/(-8 - -4). Let x(m) be the third derivative of f*m**6 + 0*m + 0*m**3 - 1\/735*m**7 - 1\/84*m**4 + 0 + m**2 + 1\/210*m**5. Factor x(z).\nAnswer: -2*z*(z - 1)**2*(z + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 3259566?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 125  (b) -7  (c) -408  (d) -27\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find o such that 1023\/2*o - 303*o**2 - 9945\/8*o**3 - 357*o**4 - 147\/8*o**5 - 90 = 0.\nAnswer: -15, -4, -1, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine y so that 3*y**5\/5 + 23574*y**4\/5 + 49275867*y**3\/5 + 2330853468*y**2 + 755211537408*y\/5 + 2837525495808\/5 = 0.\nAnswer: -3799, -128, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.1669323 rounded to 2 dps?\nAnswer: 2.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -13426067 or -13426069?\nAnswer: -13426069","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 176 minutes after 1:35 AM?\nAnswer: 4:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b**(-3\/2)*b**(-4)\/b)\/((b\/b**(-3\/4))\/b)**(-3\/19))**(-5) assuming b is positive.\nAnswer: b**(2425\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 14894 is divided by 1857.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -1557766 - -4560?\nAnswer: -1553206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 454 + -11522?\nAnswer: -11024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 707 - 871. Let a be (-8)\/6*2706\/y. Is 35 at most as big as a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = 13*r + 1802. Let o(w) = -3*w - 3. Calculate 5*o(f) + p(f).\nAnswer: -2*f + 1787","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 23*k - 6 = 21*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -18, -1, -3, 2, 54, -38 in descending order.\nAnswer: 54, 2, -1, -3, -4, -18, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 51 = -5*m + 4*i, -42*i = 5*m - 44*i + 53 for m.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, -20, -1, -546, -4, 4 in decreasing order.\nAnswer: 4, -1, -4, -5, -20, -546","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 730 is divided by 108.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -84 - -84. Let m be (o - 4\/(-3))*(-63)\/42. Is 2 a factor of 2\/(-6)*(-15 + (m - -8))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o + 12 = y, 6 = -4*y + 22. Let m(g) be the second derivative of 1\/12*g**o + 1\/2*g**2 - 2*g + 0 + 1\/3*g**3. Determine d, given that m(d) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*q - 4*f + 388, 13*q - 16*q + 2*f + 261 = 0. Put q, 2, -3, 6 in descending order.\nAnswer: q, 6, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8 a factor of 168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*g**3 + 33*g**2 - 78*g + 48.\nAnswer: -3*(g - 8)*(g - 2)*(g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -1, -26, 4 in ascending order.\nAnswer: -26, -1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Convert 13502.53 kilometers to millimeters.\nAnswer: 13502530000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = 443*l**2 - 18*l - 16. Let g(k) = -221*k**2 + 8*k + 7. Let s(x) = -9*g(x) - 4*t(x). Let r(d) = -2*d**2. Give r(s(h)).\nAnswer: -94178*h**4 - 868*h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.4 - -0.3. Let h = -0.3 - -4.3. What is the closest to k in 3, 1\/2, h?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 110637 and 969?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 8414 and 2366.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = 174*z + 389. Calculate b(-2).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 31947956, 63895903, 95843850?\n\"Answer: 31947947*f + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = -2*a + 1. Let z be v(-5). Let l(t) = t**2 + 4*t + 1. Let p be l(-5). Let n(g) = g + 3. Let j be n(p). Solve z = -4*b - j for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = -21*t + 64. Give h(7).\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 563 is divided by 185.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 divided by 268136357.\nAnswer: -3\/268136357","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = -c + 12. Let t be -1 + (7 - -3 - 0). Let a be l(t). Solve a*u - 11 = -2 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 5584 + -3649. Let j = 7346 - o. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 10170943 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 103 divided by 2?\nAnswer: 103\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 112228393?\nAnswer: 311, 360863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = 111*s**3 - 24*s**2 + 80*s - 16. Let p be w(18). Round p to the nearest 100000.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1)\/1 - (40 + 22\/(-11))?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 53.7612 rounded to the nearest 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is (-4)\/26 - (-2691760)\/208 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 57082423 divided by -57082423\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find s, given that 2*s**2 - 300828*s + 902466 = 0.\nAnswer: 3, 150411","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -11*n**4 + 2979*n**3 - n**2 + 3*n + 703?\nAnswer: -264*n + 17874","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = -w - 2. Let s(v) = v + 1. Let x = -8 - -10. Let c be s(x). Solve -h = -w*h + c for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 70\/207 and 95\/72.\nAnswer: 1656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*u = -u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 2\/(-14) + (-44)\/(-14). Suppose 0 = -0*x + 4*x + d*q - 95, -q = -x + 22. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = b**3 - 10*b**2 + b - 3. Let q(z) be the second derivative of z**5\/10 - 5*z**4\/3 + z**3\/2 - 7*z**2\/2 - 95*z. Determine 3*q(r) - 7*y(r).\nAnswer: -r**3 + 10*r**2 + 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -65 + 41 + -6 + 82?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3\/5, 0.27, -2\/5, -19, -25.\nAnswer: -25, -19, -2\/5, 0.27, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0000287176 rounded to seven dps?\nAnswer: -0.0000287","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = -3*j + 26. Let r(l) = -4*l + 63. Let v be r(14). Let u be h(v). Find o, given that 3\/7*o**2 - 3\/7*o**3 + 0*o - 3\/7*o**4 + 3\/7*o**u + 0 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = k**2 - 8*k + 12. Let a be p(6). Suppose -2*z + 19 = -n - 163, 5*n + 20 = a. Suppose 497 - z = 2*i. What are the prime factors of i?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -37, -93, -161, -247, -357, -497, -673?\nAnswer: -891","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Total of -0.5 and 11684989.\nAnswer: 11684988.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = 3*s - 55. Calculate p(16).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Convert -3 (base 9) to base 16.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v = -v + 3. Let a be (2\/(-6))\/((-2)\/(-30)). Suppose c - 5*c - 16 = 0. Put v, c, a in ascending order.\nAnswer: a, c, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-3 + 4)*24\/4. Let d(z) = z - 1. Let y be d(r). Let i(w) = 6*w**2 - 3*w - w - 2*w**2 - 6 - 3*w**2. What is i(y)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y\/y**4*y*y**(-22))\/(y**(-2\/31)\/(y*y*y*y**23*y)))**(14\/3) assuming y is positive.\nAnswer: y**(1330\/93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 14519, 57919, 130257, 231533, 361747?\nAnswer: 520899","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*y - 5*k = -25, -2*y = 147*k - 144*k for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 17053806 to the power of 1\/3, to the nearest integer?\nAnswer: 257","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -46221574 or 0.1?\nAnswer: -46221574","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -30 + 26. Let v = -3.9 + -1.1. Which is the nearest to 0?  (a) -1  (b) v  (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*o - 1097*k + 546*k + 11 = -548*k + 52, -19 = -2*o + k for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 0 - ((-20)\/(-4))\/(-1). Suppose -u - 34 = -0*u + c*h, 0 = -3*h - 15. List the prime factors of u*(165\/(-9))\/5.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 14, -3, 5, 155, 144, 1, 0 in descending order.\nAnswer: 155, 144, 14, 5, 1, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in -4.37, 7, 178, -21?\nAnswer: -4.37","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 1022 (base 4) to base 8\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 2536 - 826. What is r rounded to the nearest one hundred?\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = -6*p - 22. Let m be g(-4). Suppose -3 = m*d - 9. Solve 0*t + 2*y + 3 = 5*t, 3*t + d*y = -15 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 194 + -189. Sort 4, 0.2, h in increasing order.\nAnswer: 0.2, 4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 49 + -45. Solve -3*j - 4*q = 8, -o*j + q = 3*q + 4 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(128) + 1 + sqrt(128) + 5 + sqrt(128) + 0 + (sqrt(128)*-1)**2.\nAnswer: 24*sqrt(2) + 134","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 924 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = l**3 + 3*l**2 + 4*l + 4. Calculate d(-3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (2\/6)\/(7\/(-63))*-9. What is the highest common divisor of 27 and l?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find w such that -w**5 - 7*w**4 + 7*w**3 + 43*w**2 - 42*w = 0.\nAnswer: -7, -3, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-11424)\/1932 + ((-6)\/(-23))\/(-3). Put f, 0.1, 1\/4 in increasing order.\nAnswer: f, 0.1, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {e: 5, m: 15}. Give prob of sequence ee.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((4*j + 2 - 2)*(5*j + 0*j - 3*j) + 114*j**2 - 166*j**2 + 100*j**2 - j**2 - 3*j**2 + j**2)*(3*j - 3*j + j**2).\nAnswer: 53*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = 25*q**3 - 4450*q**2 - q + 220. Determine r(178).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Product of 1.4143 and -9485.\nAnswer: -13414.6355","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -1 * -49\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -72*k = 76*k - 5516404. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence kd when two letters picked without replacement from glgdqdlldqkgc?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 2076021 or 18684188\/9?\nAnswer: 18684188\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -26 + 26.1. Is x bigger than -4\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -427 times -8?\nAnswer: 3416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from papaayjjyay. What is prob of picking 3 a and 1 p?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 521052 and 84?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -149242739 divided by 657457.\nAnswer: -227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 254 is divided by 53?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 20 - (2 - -20 - (-1 + 15))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 211 is divided by 34?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o + 144 = 2*o. Suppose -3*c = -0*c - 6. Calculate the least common multiple of c and o.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -15557 (base 11) in base 4?\nAnswer: -11113023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.6 and 0.006.\nAnswer: -0.0036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 8531 and 409039.\nAnswer: 449","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 17029 is divided by 589?\nAnswer: 537","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 380 + -1904\/5. Which is the smallest value?  (a) 38  (b) -4  (c) l  (d) -0.3  (e) 0.11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 90372 a multiple of 443?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p - 3*c - 4 = 0, 2*c - 20 = -p - 2*p. Suppose 5*o + p*i = 10*o - 1568, -o = -2*i - 316. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = r. Let c(q) = -3923114*q - 17. Determine d(c(v)).\nAnswer: -3923114*v - 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -223439094*i**3 + 469768940?\nAnswer: -670317282*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = 5*c**3 + 4*c**2 - 7*c - 1. Let g(z) = 4*z**3 + 3*z**2 - 6*z - 1. Give -5*d(m) + 6*g(m).\nAnswer: -m**3 - 2*m**2 - m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort -7, 2, -2, 3 in descending order.\nAnswer: 3, 2, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = s**2 - 4*s - 2. Let a be c(5). Suppose -4*j = -2*j - 6. Suppose l - 15 = 4*m, -a*l + 2*l - j*m = -1. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = r**2 + 2*r + 2. What is v(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d + 710 = 5*q - 3*d, 5*d = q - 142. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -5, -2\/3, -0.04, 73?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (140\/8)\/(-5)*(((-30)\/(-14))\/15)\/(-6)?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*(sqrt(324) - -1*sqrt(324))\/((sqrt(27)\/sqrt(3))\/sqrt(3)).\nAnswer: 24*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.072, 97, -19\/3 in descending order.\nAnswer: 97, 0.072, -19\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*b = 4*h - 74 - 10, 4*b - 3*h - 61 = 0. Find the common denominator of 987\/336 + (-1)\/2 and ((-1)\/b)\/(10\/(-388)).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -459 - 3?\nAnswer: -45c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 449 - 2249 = -9*j. What is the highest common divisor of j and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -34 divided by 1247.\nAnswer: -34\/1247","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = -5*h - 29. Let l be g(-11). Let n = l + 1. Differentiate 13*t**2 - 12 - 23*t**3 - n*t**2 + 14*t**2 with respect to t.\nAnswer: -69*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = 2*d**3 - 76*d**2 + 76*d - 90. Give r(37).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 22 - 20. Suppose -s - 9 = -2*s + p*w, 0 = -4*s - 5*w - 29. List the prime factors of 10 - (2 + -1 + s).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (11 - (-24453)\/(-2090))*(-8)\/(-18)*3\/7.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Does 39 divide 129207?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 0 or 727\/755?\nAnswer: 727\/755","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = 97*c**2. Let m be 61 + -2*(-20)\/8. Let l(q) = -20*q + m*q - 49*q. What is l(b(h))?\nAnswer: -291*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 + (2 - 2) + (74 - 77)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = -3*l + 1. Let y be x(1). Let g(q) be the first derivative of -q**4\/2 + 2*q**3\/3 - q - 1. Is g(y) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r**5\/2 + 172651*r**4\/2 - 345310*r**3 + 8*r**2 + 1381232*r - 1381240 = 0. Calculate r.\nAnswer: -172655, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -p = -1, -242*r + 12*p - 16*p + 34 = -248*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand 5*a - 3*a - a + (4*a - a - 8*a)*(2 + 3 - 3) + 2*a - 2*a - a + (-1 - 2 + 5)*(0 + a + 0).\nAnswer: -8*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Are 22531303 and 22531312 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.03842272 rounded to 2 dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = -5*x**2 + 28*x - 10. What is w(6)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 105?  (a) 1\/8  (b) -7\/9  (c) -2\/3  (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) be the second derivative of 5\/6*s**4 + 9*s + 0 + 0*s**3 + 0*s**2. Let z(j) be the second derivative of -j**4\/12 - 21*j. What is z(l(q))?\nAnswer: -100*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 4665360961 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 66 or 68?\nAnswer: 66","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 733 = 25*a - 163*a + 43 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = -j**3 - 6*j**2 + j + 5. Calculate z(-4).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 4040\/800 - 25\/500*-4?\nAnswer: 21\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 9962131 is divided by 9962125.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 271808 and 26784.\nAnswer: 992","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -1.8 - -1.5. Which is the biggest value?  (a) z  (b) 3  (c) 1\/12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 133*i**2 - 553*i**2 - 178*i**2 - 718*i**2 to the form k*i**2 + b*i + l and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-1)\/(-4))\/(27\/1458). Suppose -g*n**2 + 6*n - 2\/3 = 0. Calculate n.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 52974 is divided by 1357?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify c**(1\/5)*c\/(c\/((c*((c**(1\/5)\/c*c)\/c*c)\/c)\/c))*(c**(-32))**0 assuming c is positive.\nAnswer: c**(-3\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 122.404 - 882404?\nAnswer: -882281.596","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -38257\/15036 - -43\/537. Calculate the common denominator of b and -95\/72.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*y - 264 = -2*y + y. Solve 22*v + 110 = y for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 238 and 59738?\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -25867.9989643 - -25868. Round b to four decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5 - 1 + 0)*(-a**2 + a**2 + 2*a**4) + a**4 + 0*a**4 + 0*a**4 + 0*a**4 - 4*a + 2*a**4 + 6*a.\nAnswer: -9*a**4 + 2*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 441701565 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1*1\/2*4\/((-8)\/2).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 4733, 4734, 4735, 4736?\nAnswer: 4737","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = 159*z**2 - 1. Let l be r(1). Suppose -t = t - l. Let x = t - 45. What is the greatest common divisor of x and 136?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9*l = 28 + 17 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -35 + 43 + (-37 - -29)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5472 is divided by 1179.\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -829 + 832. Suppose r*n - 121 - 113 = -3*y, 393 = 5*n + 2*y. Is n less than or equal to 321\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 65.79307 litres in millilitres?\nAnswer: 65793.07","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 14593275 and 278475.\nAnswer: 5925","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand 550 - 550 - 231*c + (-2*c + 2*c + c)*(-11 - 5 - 5).\nAnswer: -252*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 231*j = 1240*j - 43387 for j.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*f = -25, -5 = -2*t + 6*t - 5*f. Suppose 0 = -2*k + y - 3220005, -3*k - 7866830 = t*y - 3036855. Round k to the nearest 100000.\nAnswer: -1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*k**4\/2 - 64585*k**3\/2 - 139029975*k**2 - 199461649270*k + 199600711540 = 0 for k.\nAnswer: -4306, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 6\/(-40)*(-56 - -51)*-12.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/2 in 0.5, -2\/3, -1\/3, 19\/7?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = -r**3 + 4*r**2 + 11*r - 19. Calculate l(5).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 247*h**3 - 4 + 18 - 14.\nAnswer: 247*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let -1\/3*n**5 - 4\/3 - 1\/3*n**2 + 5\/3*n**4 + 8\/3*n - 7\/3*n**3 = 0. What is n?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z**0*z)\/((z**(-5)\/z)\/z*z))\/(z**(2\/5)\/z*z**(-2\/19)*z) assuming z is positive.\nAnswer: z**(637\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 206416458, 206416460, 206416462, 206416464, 206416466?\n\"Answer: 2*m + 206416456","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -25215 + -524240?\nAnswer: -553455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 269633 to the nearest integer?\nAnswer: 519","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 178450 rounded to the nearest one hundred thousand?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 847816552?\nAnswer: 2, 11, 43, 61, 3673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 622159, 2488646, 5599457, 9954592, 15554051?\n\"Answer: 622162*x**2 + x - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 210 - 192. What is the remainder when u is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = a + 3. Let m be v(3). Suppose 4*c - m*c + 58 = 0. Calculate the remainder when c is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -853 (base 9) to base 6\nAnswer: -3120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 30845320.\nAnswer: 2, 5, 11, 6373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) = -18118*u - 144968. What is k(-8)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 5364233 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 32 - 7. Suppose c - b + x = 6*c, -4*c + 20 = -b. Suppose -c*m - n + 48 = 0, 2*m - m + n = 8. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 111 = 267.5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (0 - 0) + 198\/174 + -1. Which is smaller: 1 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.2?  (a) 3\/7  (b) -1141  (c) 0.27875\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -3 - ((-17 - -6) + 5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:12 AM and 10:22 AM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 7 + -1. What is the greatest common factor of 24 and z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) be the first derivative of 31*f**3\/3 + 40. Let r(o) = -5*o. Calculate r(d(i)).\nAnswer: -155*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 1028.01 + -1023. Let q = 0.01 - t. Let z = q + 4.9922. Round z to 3 decimal places.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = -4*p**2 - 5*p + 3. Calculate u(-4).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((1 + 3 - 3)*(-1 - 6 + 1)*(t - t - t) + t - 2 + 2)*(-1953*t**2 + 1953*t**2 - 203*t**3).\nAnswer: -1421*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 202995 to the power of 1\/3, to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 69303 is divided by 23100.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort -13, 3313, -3.\nAnswer: -13, -3, 3313","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 3612?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/10?  (a) -2\/3  (b) 4  (c) -0.8  (d) 3\/191\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 1 + 0)*(0 + 0 - i**3) - 174*i**3 - 284*i**2 + 284*i**2 - i**3 - i**3 + 0*i**3 - 3*i**3 - 3*i**3 + 2*i**3.\nAnswer: -182*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2990?\nAnswer: 2, 5, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -188782581384 - -60\nAnswer: -188782581324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Product of 488 and 353497.\nAnswer: 172506536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 57657707 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 46 + 166. Is 15 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 40, -23, -63, -3, -2 in decreasing order.\nAnswer: 40, -2, -3, -23, -63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 164948 + -2?\nAnswer: 164946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*y = -y. Suppose 19 = 5*c - 3*i + 5*i, y = -c + 5*i + 20. Solve 3 = -k + c*s - 27, 4*k - s + 25 = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = 109*j**2 - 4361*j + 15771. Give v(36).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 765006.\nAnswer: 2, 3, 11, 67, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 21967, 21981, 22011, 22063, 22143, 22257, 22411?\nAnswer: 22611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = k + 31. Let f be o(-14). Suppose -3*h + 295 = 2*h. Let c = h + f. Which is greater: 77 or c?\nAnswer: 77","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -340170.314 rounded to the nearest ten?\nAnswer: -340170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 2407732401 to the power of 1\/3, to the nearest integer?\nAnswer: 1340","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 28 + -2881374?\nAnswer: -2881346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 17.02 + -0.02. Let n = -17.3 + h. Let q = -25 + 25.1. Which is the closest to q?  (a) n  (b) -1  (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence aal when three letters picked without replacement from kkacklkcclwkd.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {t: 2, y: 1, q: 1, w: 1}. Give prob of sequence yq.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = -5*x**4 + 13*x**2 - 2*x - 12. Let l(p) = -6*p**4 + 12*p**2 - 3*p - 12. Let r(h) = -2*l(h) + 3*o(h). Determine a so that r(a) = 0.\nAnswer: -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -7783818\/1115 + 6981. Let z = 105973\/17840 + t. Calculate the common denominator of -59\/8 and z.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.13 + -0.23. Let h = -2.1 - m. What is the third smallest value in 5, h, 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -97 - -99. Suppose f*n - 180 + 18 = 0. What is the lowest common multiple of 5 and n?\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 136 and 1734.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 107563 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1048, -36, 5.\nAnswer: -36, 5, 1048","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ssss when four letters picked without replacement from sssssssss.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 5, 22, 2 in increasing order.\nAnswer: -3, 2, 5, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 19444546.118004 - 19117532.918. Let o = 327014 - w. Let n = -0.8 + o. What is n rounded to five decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = -2. Let m(v) = -v - 2. Calculate -2*c(i) + 3*m(i).\nAnswer: -3*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 5688 less than 2742163?\nAnswer: 2736475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9*n = l - 27, 0 = -4*l - 2*n - 4076 + 4184 for l.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -19  (b) -1  (c) 0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from uxxxxu. Give prob of sequence uu.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 98561 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express (4*a - 2*a - a)*(-366*a**2 - 135*a**2 + 159*a**2) in the form j*a + v*a**2 + q*a**3 + b and give q.\nAnswer: -342","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -40687 (base 11) in base 8?\nAnswer: -163771","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f + z + 27 = 0, 5*f + 50 = 7*f + 2*z. Suppose 565 = m + 45. What is the greatest common factor of m and f?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = -y**3 + 9*y**2 - 9*y + 1. Let q be (-1368)\/(-99) + -1 + (-13)\/(-11). Let i be 32\/112 - (-108)\/q. Give z(i).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 70623896.\nAnswer: 2, 7, 67, 2689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = p - 3. Let a = -277 - -280. Let j(z) = 1 - 2*z + 0*z + z + 3. Determine a*j(t) + 4*m(t).\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -251450*k**3*u**3 + 28*k**2*u + k*u**3 - 1412*k*u**2 wrt k?\nAnswer: -1508700*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 64.9 + -62. Let r = n - -0.1. Which is the nearest to 1?  (a) r  (b) -0.4  (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -120, -114, -98, -66, -12?\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:18 PM and 9:14 PM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1119 is divided by 280\/(-42)*42\/(-8)?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 109437438 to the power of 1\/2, to the nearest integer?\nAnswer: 10461","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -f + 1f?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*a + 156169 = 4*t + 8*a, 0 = 5*t - 4*a - 195185. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = -w**3 + 3*w**2 - w + 2. Let v be a(3). Let c = v - 5. What is the units digit of 4\/(-12) - 32\/c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0.085 + -42.285. Let d = 25.25 + 16.75. Let r = d + z. Which is the closest to 2?  (a) -0.5  (b) -0.3  (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5264137 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = -k**3 + 23*k**2 - 19*k - 48. Let p be m(22). Let r be (1 + -13)\/((-36)\/p). Suppose 2*s + r*s - 16 = 0. Let i(q) = 8*q - 3. Determine i(s).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*t + 18 - 3. Suppose t*x = -x. What is the remainder when 10 is divided by x + 1 - 28\/(-14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 10 - 1208*c - 984*c - 11.\nAnswer: -2192*c - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-13 - 18 + 33)*(-5*v + v + 2*v)*(-4*v**2 + 2*v**2 + 12*v**2).\nAnswer: -40*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*k = -r + 11, -k = 8002*r - 8000*r + 8 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 q and 1 z when three letters picked without replacement from aammaamqyyqmabyamzq?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 48*h - 16*h - h**2 - 32*h.\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*((sqrt(114) - 1*sqrt(114))*2 + sqrt(114)))\/((sqrt(72) + 5*(sqrt(72) - sqrt(72)*-1) - sqrt(72) - sqrt(72))\/sqrt(12)).\nAnswer: -2*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -212.21 - -212. Let w = 0.31 + n. Let t = 8 - 12. Is t not equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1728*h - 4*h**2 - 3456*h + 1728*h.\nAnswer: -4*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-24)\/(-72)*12\/34.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 170 minutes before 9:53 PM?\nAnswer: 7:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -b = -3*s + 20, 0 = -4*s - 14*b + 17*b + 35 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-5)\/(-3)*(5 + -2). Let x be 6\/(-4)*(24 + 2). Let b be 24\/13 - 6\/x. Solve g = -m + b, -3*m - w*g + 1 + 3 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/40 in -0.5, -28\/775, 1\/10?\nAnswer: -28\/775","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from {w: 4, l: 3, e: 1}.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 26595324.\nAnswer: 2, 3, 7, 127, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in one fifth of a kilometer?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = -5*u - 2. Let m(b) = -4*b - 1. Give 3*j(s) - 4*m(s).\nAnswer: s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -3310320, 0.2, 0.1, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = 6*i**2 - 37*i + 47. What is r(3)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -679, -680, -11, 1322, 3313, 5956?\nAnswer: 9245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 107 minutes before 5:32 PM?\nAnswer: 3:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*w = -16*w + 276. Calculate the remainder when w is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 28046.\nAnswer: 2, 37, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1088)*-1 - sqrt(153)\/(sqrt(9) + sqrt(9) + sqrt(63)\/sqrt(7) - sqrt(9)))**2 + (sqrt(102) - 1*(-1*sqrt(102) + sqrt(102) + sqrt(102)))\/sqrt(6) + -3.\nAnswer: 4901\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.1 times 11357090?\nAnswer: -1135709","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 84250 and 7868950?\nAnswer: 39344750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -11 - -9.9. Let h = y + 7.1. Let n = h - 6.06. Round n to 2 decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.4 - 0.45. Round n to 2 decimal places.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 6 + 3 + 6 - 7*i**2 + i**2 wrt i.\nAnswer: -12*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -2.79 - -2.89. Which is the third smallest value?  (a) -0.4  (b) n  (c) -1  (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = t**2 + 1. Let v(u) = 6*u**2 - 18*u + 8. Determine -8*b(o) + v(o).\nAnswer: -2*o**2 - 18*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ggvg when four letters picked without replacement from {v: 2, y: 1, g: 4, k: 3}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 552391 to the power of 1\/3, to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let 4*p**2\/7 + 1871803520*p\/7 + 218978026092774400\/7 = 0. What is p?\nAnswer: -233975440","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -56\/63373 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 302 - -111?\nAnswer: 413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = -n - 3*n - 1 + n**2 + 3 - 4*n. Let j be z(8). Calculate the highest common divisor of 4 and j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -21*s + 38053 = 38662 for s.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 15068 + -9100. What is the thousands digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 322 a factor of 196098?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (19 - 4) + -7 + -4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.04023414 and 0.1.\nAnswer: -0.004023414","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -11\/5628 and -19\/84.\nAnswer: 5628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 1073 - 1082. What is the closest to 2\/5 in -5, 3, g, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {b: 4, r: 3, j: 6}. What is prob of picking 1 b and 1 j?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 0.089, -2, 0.3, 1, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = -6*d**3 - 2*d**2 - 3*d - 2. Let u be x(-1). Let j(k) = k**2 - 7*k + 10. Let a be j(u). Solve -4*v + a*v + 12 = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = y**4 + 22*y**3 - 8*y**2 - 33*y - 12. Let a(h) = -h**3 + h**2 + 2. Let f(j) = -6*a(j) - k(j). Find the third derivative of f(w) wrt w.\nAnswer: -24*w - 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 42 in 0.03, -132.7, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*t - 15 + 10. Let q(j) = j**3 + j**2 + j. Let c(x) = 3*x**2 + 3*x + 12. Let h(z) = t*c(z) - q(z). List the prime factors of h(-5).\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 28 + -31. Sort 0, -5, 1, g in increasing order.\nAnswer: -5, g, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -11.27 + 0.27. Let n = s + 10.9. Sort n, 3\/8, -5 in ascending order.\nAnswer: -5, n, 3\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-7*s - 11*s + 16*s)*(58*s + 6*s - 13*s)*(-11*s + 2*s + s) to the form p*s**2 + b*s + w + z*s**3 and give z.\nAnswer: 816","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 19441163771 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3\/7, -1\/7, -16, 5.\nAnswer: -16, -1\/7, 3\/7, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -15 - -19410322?\nAnswer: 19410307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round 12165013.21 to the nearest 1000.\nAnswer: 12165000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -4 - -5. Which is the biggest value?  (a) 2  (b) f  (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/3 in 5, -0.36, -0.5, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -1\/57015 and -47\/25132212.\nAnswer: 125661060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Add together -0.01733375871202 and -4.\nAnswer: -4.01733375871202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = 4*a**2 - 78*a - 86. Let g be t(-36). Calculate the greatest common factor of 236 and g.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 49, 233, 545, 991, 1577?\n\"Answer: p**3 + 58*p**2 + 3*p - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 763223956 a multiple of 77?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = m**2 + 4*m + 9. Let x be g(-4). Let o be (-4)\/1*(-2)\/4. Let v be 10 - o*(-1)\/(-2). Calculate the highest common factor of v and x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3443813 is divided by 2858.\nAnswer: 2781","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -116*l**3 + 226*l**3 - 115*l**3.\nAnswer: -5*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) be the second derivative of -3\/8*h**4 + 1\/6*h**3 - 33\/2*h**2 - 36*h + 0. Let t(y) be the first derivative of d(y). Give t(2).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 136447 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*b - 5*w + 3*w = 14, b - 7 = 3*w. Let i be (-171)\/12 - 3\/(-12). Let v be 2\/((i\/b)\/(-7)). Solve 2*k = 2*m + 3*m + 6, -v*m = -2*k + 6 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 28*h**3*j**4 - 31*h**3 + 3*h**2*j + h*j**4 - 2*j wrt j.\nAnswer: 336*h**3*j**2 + 12*h*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2880897377.\nAnswer: 21649, 133073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 395692 and 121946?\nAnswer: 506","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 418*d - 456*d - 304 = 0 for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 0\/(((-1)\/5)\/(3\/(-15))). Suppose -4*x + 6*x - 10 = c. Solve -x*m + 0 = -25 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 18706 - 19031. Which is smaller: -341 or a?\nAnswer: -341","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 416 and 104?\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:01 PM and 3:39 AM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 35611153*o - 35611153*o + 19*o**2.\nAnswer: 19*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (14\/(-3))\/(1\/(-3)). Suppose 1232*q + 11930 = 1242*q. Let m = q + -1067. What is the highest common factor of m and t?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 2\/3 or -2.301?\nAnswer: -2.301","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = 893*p. Let q(t) = 1731*t**2. What is q(f(v))?\nAnswer: 1380384219*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = 3*m**2 + 4*m. Let k be c(-4). Let w = -21 - -1. Let s = k + w. Solve -5*y - s = -y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = -3*b**3 + 2*b**2 + 2*b + 5. Let v be m(-5). Suppose -8*h + v = -3*h. Is 21 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is g in -118*g**2\/13 - 1051382*g\/13 - 17820\/13 = 0?\nAnswer: -8910, -1\/59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-13 + 29 - 49)*(-2*q + 1 - 1) to the form h*q + v and give h.\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) -4  (b) -0.03119  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6*y - 11*y + 21 - 21.\nAnswer: -17*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 3*y + 1)*(-644 + 8067 + 3195 + 5011 + 951)*(4 + 1 - 4).\nAnswer: 49740*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 14907042.\nAnswer: 2, 3, 828169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence zzkw when four letters picked without replacement from {k: 2, w: 5, e: 2, h: 4, z: 4}?\nAnswer: 1\/476","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (23 - 22) + (150 - 196).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 27, 94, 169, 222, 223, 142?\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert -24 (base 5) to base 9.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) be the first derivative of p**3\/2 - 13*p**2 - 13*p - 9. Let i(v) be the first derivative of s(v). Let b be i(10). Solve -6 = b*y - 18 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 589 + 2*m + 595 + m**2 - 1181 - 6*m**3 - 18*m**3 as g*m + x*m**3 + v + h*m**2 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: (-7 + 3 - -5) + (-1 - 4)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 13357 is divided by 361.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 u and 1 b when four letters picked without replacement from uubuuubbbb?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((a*a*a\/a**9)\/a)**(3\/7)*a**13*a**(6\/11))**(-28) assuming a is positive.\nAnswer: a**(-3248\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = -2*g**2 - 161*g - 246. Calculate d(-79).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is -1\/96675 at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -52 = -2*o - 2*o. Let s = 7 - o. Let f(z) = -z + 11. Let i be f(11). Sort i, s, 3 in decreasing order.\nAnswer: 3, i, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -461, -1026, -1785, -2834, -4269?\nAnswer: -6186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 461*z**2 + 670*z**2 - z + 901*z**2 - 255 + 1441*z**2 wrt z?\nAnswer: 6946","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p = -6*p + 12. Let l = 0 - -0.1. Let r = l + 0.4. Which is the smallest value?  (a) p  (b) 4\/7  (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 9 + -17 + 3 + 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert -111101100 (base 2) to base 16.\nAnswer: -1ec","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 708813805?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 27\/5493736 and 103\/438330?\nAnswer: 82406040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is (9\/(-297)*-22)\/(1\/(-18))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-2)\/4)\/(1\/(-6))*-1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6113 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 11566 + -138917\/12. Let p = 3619 + -39854\/11. Find the common denominator of n and p.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = 8*k**2 - 13*k + 4. Suppose -2*h = 3*h - 25. Let x = h + -6. Let y be (1 - 0)\/(x\/9). Let o(p) = -2*p**2 + 3*p - 1. Give y*o(q) - 2*d(q).\nAnswer: 2*q**2 - q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 7 - 2. Solve 3*g = o*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/5?  (a) -6  (b) 2\/11  (c) -7  (d) -4416\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -356, -1437, -3236, -5753, -8988, -12941, -17612?\n\"Answer: -359*o**2 - 4*o + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17 - 5 = x. Let o be 9\/x + 45\/(-12). Let d be 352\/456 + 2\/o. Is d != 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 149 + -26. List the prime factors of i.\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -8 - (4620\/135)\/(-22) and 67\/442.\nAnswer: 3978","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*((-2 + sqrt(3) + -2 + -2 + -5)**2 + 3).\nAnswer: -635 + 110*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = 4643*j. Let q(i) = -380*i**2 + 191*i**2 + 188*i**2. Calculate o(q(k)).\nAnswer: -4643*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is -9052\/9 != -1005?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-30 - 5\/(-5)) + 4. Let u = 35 + d. Let l(k) = -k**2 + 12*k + 5. Is 6 a factor of l(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16*i = 8*i - 13104. Is 15 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -100343, -99376, -98413, -97454?\nAnswer: -96499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 783047533?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -130, -488, -1076, -1894?\n\"Answer: -115*m**2 - 13*m - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -295\/198 + 23\/22. Let l = 1\/196 - 397\/980. What is the nearest to l in r, 3, 0.3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 16, 22, 28, 34, 40, 46?\n\"Answer: 6*z + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*d**4 + 44816*d**3 - 251104036*d**2 + 501894400*d + 753043254 = 0 for d.\nAnswer: -1, 3, 11203","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = -2*s + 8. Let v be n(4). Let u be (-2)\/(-11) - (-14)\/286. Let i = 19\/26 - u. What is the biggest value in v, i, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) = h**2 + 10*h + 6. Let i be j(-9). Suppose 0 = -5*q + 4*q + 3. Let n(w) = -7*w - 2*w + 8*w + q. Let b(c) = 3*c - 7. What is i*b(z) - 7*n(z)?\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = -15*y + 49. Let g be ((-16)\/18)\/(-18 - 1440\/(-81)). Give l(g).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*(sqrt(66) + sqrt(66)*-3) - (sqrt(66) - (sqrt(66) - sqrt(66)*3))*-4)\/(sqrt(5808)\/sqrt(8)*1).\nAnswer: 10*sqrt(11)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 1060369933 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Does 116 divide 1276?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {e: 4, c: 1, k: 4, r: 2}. What is prob of picking 1 k and 1 c?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Put -22, 3, 5, -2, 4, 1623 in ascending order.\nAnswer: -22, -2, 3, 4, 5, 1623","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.06 minus -574762617063?\nAnswer: 574762617063.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*t + 3*a = 5, 3*t + a - 6*a = -12 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 4001732 and 13328?\nAnswer: 3332","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*t - 6 = 2*g, -t - 2 = 2*g + g for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1035453270?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.19 - -1366802703?\nAnswer: 1366802703.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in one sixth of a decade?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = -16*x - 59*x - 6*x. Let g(v) = 5*v. What is -6*a(c) - 99*g(c)?\nAnswer: -9*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/4, 2\/7, -709, -5, 1\/8 in decreasing order.\nAnswer: 2\/7, 1\/8, -1\/4, -5, -709","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 35447 and 66?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -14 + 4. Is (-6)\/w + 210\/25 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -6718 minus 32238?\nAnswer: -38956","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -28 + 42. Let f = -36626 + 36631. Solve 0 = -f*r - 6 - z for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -2372 - -2366. Let p(t) = -7*t - 7. Suppose 0 = -2*q, 6*q + 20 = 4*l + 3*q. Let d(i) = -6*i - 6. Give b*d(k) + l*p(k).\nAnswer: k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 37287.8 micrometers?\nAnswer: 3.72878","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4501668*u**2 - 4501668*u**2 - 14*u**3.\nAnswer: -14*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-84)\/(-60) - (-15)\/25 - 4\/4. Suppose -1\/6*o**2 - 5\/6*o + q = 0. Calculate o.\nAnswer: -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.1*-0.844.\nAnswer: -0.0844","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ppla. Give prob of picking 3 a.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -18 + 25 - (8 + 1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is (2*(-4)\/(-24))\/(1\/(-6))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 54\/(-99) - (-47 + 46)?\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 195 minutes before 2:12 PM?\nAnswer: 10:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 252066 to the power of 1\/3, to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 193 (base 11) in base 6?\nAnswer: 1011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 96 - 26 = -7*d for d.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Round -6183.5263 to the nearest 100.\nAnswer: -6200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 8372 and 161.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 172 and 860?\nAnswer: 860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 328\/(-410)*((-25)\/(-26))\/(-5)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Do 595669 and 595667 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = -s. Let p be f(-2). Suppose 4*m - 26 = -10. Suppose -1 = 2*b - o, 2*b + 16 = -48*o + 52*o. Solve b*h + 8 = -0*y - m*y, h = p for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -44 by 44.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -b46 (base 15) in base 2?\nAnswer: -100111101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4\/10 + 152427\/(-23870)*14.\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 162*l**2 + 149 - 295*l**2 + 135*l**2 + (-6*l + 3*l + 2*l)*(0*l + 2*l - 3*l) to a + s*l + w*l**2 and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand -5*m + m + 2*m + (2 - 7 + 4)*(-14*m - 3*m - 8*m)*(-1 + 2 - 2).\nAnswer: -27*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 54, 104, 144, 168, 170, 144, 84, -16?\nAnswer: -162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = 5*d**2 - d - 1. Let n be z(-1). Let y = 22.13 - 23.7. Let p = 5.57 + y. Which is the nearest to 2?  (a) 1  (b) p  (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -944*q**2 + 1191*q**2 - 1165*q**2.\nAnswer: -918*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 657, -989, -2635, -4281, -5927?\nAnswer: -7573","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j*j\/(j*(j*j\/(j**(3\/8)\/j)*j)\/j)*j)\/((j*j**(-26))\/j) assuming j is positive.\nAnswer: j**(203\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t = 2*t - a - 14, 0 = -2*t + 5*a - 2. Suppose -s + t + 16 = 0. Calculate the highest common factor of s and 180.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (2 + 29764\/96)\/(-1). Let j = 312 + l. Which is greater: j or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 69*s**2 - 97*s - 157*s + 96*s wrt s.\nAnswer: 138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -1059910.33 to the nearest ten thousand.\nAnswer: -1060000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {e: 1, c: 2, n: 2, z: 2, h: 4, y: 1}. Give prob of picking 2 c and 2 n.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -26 + -15 + 22 + -13 - -12?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1449872 to the nearest integer?\nAnswer: 1204","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 0 + -1010101011110?\nAnswer: -1010101011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is (68448\/(-296))\/(-23) + -10?\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from wwmoyyyxwyyxxxxxmyy. Give prob of picking 3 w and 1 o.\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 178441785 a multiple of 783?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is thirteen eighths of a microgram in nanograms?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 5, 10, -4, 36.3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = 2 + 4*a**3 + 6*a + 24*a**2 + 2 + a**3 - 18*a**2. Let u be (-5 - 0) + -3 + 2. Let p(v) = v**3 + v**2 + v. Calculate u*p(x) + q(x).\nAnswer: -x**3 + 4","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -8*(-28)\/8*23\/121670*23 and 6\/55?\nAnswer: 1265","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -4285185 by -285679.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 - 1 = -3*b. Let k be b\/(-2) - 21\/(-2). Suppose 5*a = 5*y + 35, 5*a - k - 19 = 4*y. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -310177, -620667, -931157?\nAnswer: -1241647","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k + 26 = 4*b - 0*k, k = 3. Suppose b*j = j + 880. Let s = j - 144. What is the tens digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -89 - -89. Let s be 5\/(-10)*(-4 + t). Suppose 3*i = s*i - 2490. What is i rounded to the nearest one thousand?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*r + 6*t - 34 = 3*r, 71*r = 73*r - 3*t - 11 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = 2*r**3 - 4*r**2 - 57*r - 72. Give x(-3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 82.56468 days in seconds?\nAnswer: 7133588.352","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -161\/468 and 37\/1872.\nAnswer: 1872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10443524*p = -10443509*p - 495 for p.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 828, 1590, 2352, 3114, 3876, 4638?\n\"Answer: 762*j + 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-21)\/(-7))\/(2\/(-2))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -26*k - 3 + 6*k + 3 + 11*k.\nAnswer: -9*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 8 - 11. Which is the smallest value?  (a) 1\/5  (b) r  (c) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of a**3*g**2 - 318856*a*g**2 - 377*g**2 + 1462*g + 1 wrt a.\nAnswer: 3*a**2*g**2 - 318856*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"}
{"text":"Question: What is 3.33718 kilometers in micrometers?\nAnswer: 3337180000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 not equal to 42\/69437?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = 306250*m**2 - m + 4. Let k = 20 - 9. Suppose 4*r - k = -5*g, 4*g - 5*g = r - 3. Let x be j(r). Round x to the nearest 1000000.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) -2\/57  (b) 0  (c) 1\/5  (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = 36*c - 77*c - 2 + 2*c**2 + 39*c. What is q(4)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/3 in 4\/5, 1, 373?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) be the first derivative of -3*r + 1. Let n(g) = -g + 4. Let c = 14068 + -14065. Calculate c*j(h) + 2*n(h).\nAnswer: -2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 136 minutes after 2:54 PM?\nAnswer: 5:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*g - 0 + 18. Let w(b) = -b**2 + 12*b + 225. Let a be w(22). Is g at least a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-87)\/(-6))\/(1\/26). Let x = 2191 - 2178. Calculate the greatest common factor of x and z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -137509 + 362808. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -1 - -2. Let n = 0.42 + 0.48. Let p = i - n. Are p and -7 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = 11*c - 3. Suppose y = -5*l + 24, 0 = 5*y + l - 2*l - 68. Let d = y - 11. Does 9 divide r(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1457 divided by 3\nAnswer: 1457\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.148 * -205.\nAnswer: 30.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r + 5*y - 23 + 7 = 0, -4*r + 50 = y. Suppose 2*k + 23 - r = 0. Let q be (1 + (-2)\/10)*-5. Which is the smallest value?  (a) k  (b) q  (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*s**2\/5 + 33728*s - 337288\/5 = 0.\nAnswer: -84322, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 179462?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 669.4666166 rounded to the nearest 10?\nAnswer: 670","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -49 - -103. Suppose 2*t + g = 4*t. Let o be (-6)\/t + (-76)\/(-18). Solve -14 = 5*r - o for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 6813003?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = -3*y**2 - 97*y - 112. Determine x(-31).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4082.\nAnswer: 2, 13, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n - 5*n + 2*u - 26 = 0, 0 = -2*n - 2*u + 2. Let z = 5 + n. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6239372 = -131*n + 2573475 - 927826. What is the thousands digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -0.7 - 0.3. Suppose -3*p = -4*p. Let j = 0 + p. What is the third smallest value in g, 2\/13, j?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -9 - (17 - (5 - -20) - (-5 + (-76 - 5)))\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -144897080016 - -0.4\nAnswer: -144897080015.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2432 = 13*w + 62*w - 32 for w.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((-18)\/(-12))\/((-3)\/4). What is the common denominator of 6 and (-3157)\/858 - f\/(-13)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 847?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 18 - 2. Suppose -20 = -5*o - 4*s, 3*s = 3*o + 7 - 46. Suppose -2*w + 5*n = 7*n - o, n = 4*w - 36. Calculate the greatest common factor of w and f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = -7*b. Let p = -1 + 0. What is the units digit of r(p)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*v + 6 = -2*f + 7*f, -4*v - 12 = f for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is seventeen sixths of a millennium in months?\nAnswer: 34000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -112, 1, 4, -1 in descending order.\nAnswer: 4, 1, -1, -112","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = 9*o + 148. Calculate the least common multiple of 105 and g(-2).\nAnswer: 2730","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is 10*1\/30*(-1)\/(-12)?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 4076 (base 13) in base 9?\nAnswer: 13162","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"}
{"text":"Question: Let j = 532 - 358. What is the units digit of j\/((-1)\/((-11)\/3 + 3))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i + 20 = -7*i. Let n be -2 - (-4)\/i*3. Let x = 10 + n. Solve 8*a + 30 = 3*a + x*r, -3*a - 3*r = -12 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 7, 0, 22, -10 in descending order.\nAnswer: 22, 7, 0, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 419595, 418733, 417871, 417009?\n\"Answer: -862*b + 420457","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -660939*g**3 - 427840*g wrt g.\nAnswer: -3965634*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -5, 71 in decreasing order.\nAnswer: 71, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from iidgijjjiejjojjj. What is prob of picking 1 d, 1 j, and 1 i?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/2, 0.7, -258638 in decreasing order.\nAnswer: 0.7, -1\/2, -258638","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -7204, -9176, -11122, -13030, -14888?\nAnswer: -16684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*sqrt(325) + -1*sqrt(13)*-5 - (0 + (sqrt(1053) + -1 - sqrt(1053))))**2.\nAnswer: -10*sqrt(13) + 326","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 69624011 to the nearest integer?\nAnswer: 411","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (3\/(-2))\/((-18)\/24). What is the greatest common divisor of 18 and o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v - 18 - 26 = -3*b, v = 5*b - 76. Let h(z) = -z - 1. Let l be h(-3). Calculate the greatest common divisor of l and b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*z + z**2 + z + 5*z**2 + (4*z - 4*z + z)*(z + 2*z - 4*z).\nAnswer: 5*z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-1 - -3 - -13)*32\/160. What is the tens digit of (3 - -296) + -1 + s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*o - 9 - 1. Let n be o - (-2 + -2)\/(-2). Let i(u) = n*u + u - 5*u. Let l(q) = q. Give i(l(f)).\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -38 + (28 - -17) - 19\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = -4*x - 22. Let w be -12*5\/(-45)*-6. What is the least common multiple of k(w) and 94?\nAnswer: 470","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z\/(z*z\/(z*z*z**(-7)\/z*z*z)))\/(z\/((z\/(z*z*z**(-13)*z*z*z))\/z*z)) assuming z is positive.\nAnswer: z**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 32\/5?  (a) -0.5  (b) 36  (c) -122\/25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 75622?\nAnswer: 2, 37811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 3042 (base 5) in base 11?\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 3595 or 1\/21?\nAnswer: 3595","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = -v**3 - v - 300. Let f be l(0). Let d = -84 - f. Suppose 124 = 4*n - d. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 139991.\nAnswer: 139991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 123\/10 and 99\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = 3*y - 7. Suppose 4 = 4*a + 36. Let h(z) = 4*z - 11. Let m(r) = a*u(r) + 5*h(r). What is m(3)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 20873 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = -48*o. Let i be l(-1). Let k = 24 - 19. Suppose -2*m + k*v = -i, -4*v = v + 10. Is 14 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 9*z - 54465 - 297020 + 29924. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = w**2 - 7*w - 2. Let c be v(5). Let l be (40\/c)\/((-1)\/(-21)). Is l\/21*63\/(-5) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5504008051 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 0.036 times 0.153\nAnswer: 0.005508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a be -4 + (-1 - 36\/(-4)). Solve 14 = 4*c - k, -4*c + 4 = -a*k - 4 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5432?\nAnswer: 2, 7, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 o and 2 z when three letters picked without replacement from {o: 4, z: 3, w: 1, f: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 24 and 32.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {x: 1, w: 1, i: 2, n: 1, t: 1, m: 1}. Give prob of picking 1 t, 1 m, 1 i, and 1 n.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.93 + -1. Let j = -78203 - -312811\/4. Which is the nearest to 1\/6?  (a) p  (b) 2\/13  (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) be the first derivative of -v**2 - 2*v + 1. Let t be o(-3). Suppose c + t*c = 50. List the prime factors of c.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 0.5  (b) -0.4  (c) -1  (d) -131313\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -9060 divided by -755?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Does 42 divide 504?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 34436*v - 34433*v - 13*h = 343, -v - 5*h - 5 + 82 = 0 for v.\nAnswer: 97","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - r**2 + 0)*(368 - 454 - 693) + 0*r**2 + r**2 + 0*r**2.\nAnswer: 780*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Convert 12886.89t to milligrams.\nAnswer: 12886890000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-6)\/24)\/((-14)\/(-16)). Let i = -961 + 919. What is the third biggest value in 2\/5, u, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 13\/8 of a litre?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 30, -395, -1218, -2445, -4082, -6135, -8610?\n\"Answer: -g**3 - 193*g**2 + 161*g + 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 8\/(-5)*(-30)\/54. Let n = -2965 + 26735\/9. Let 8\/9*l - t*l**2 - n*l**3 + 0 + 50\/9*l**4 = 0. What is l?\nAnswer: -2\/5, 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of 0.3 and 359.6341273962.\nAnswer: 359.9341273962","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -2704, -2703, -2702, -2701?\n\"Answer: h - 2705","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-6)\/2 + 220\/70)*2. Factor k + 4\/7*l + 2\/7*l**2.\nAnswer: 2*(l + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -185418 by -20602.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u**3 + 4*u**2 = 0. Calculate u.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2900 - 298 = q. What is the units digit of 1\/(-5) + (5 - q\/15)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -34*i + 35*i - 929 = 0. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -6 + 16. Solve -j = 5*a - 5 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*w - 6*w. Suppose 0 = -w*f - 5*f + 400. Suppose f = -2*r + 3*r. Is 10 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-28)\/(-20) - (-1731)\/(-1290). Let v = -19037\/946 - u. Which is bigger: -19 or v?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -68 - -48. Let s = -57 - n. Let h = 43.6 + s. What is h rounded to 0 dps?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 14*w**2 + 28*w + 22*w - 50*w.\nAnswer: 14*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 3.6 minus 446?\nAnswer: -442.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = 3*t + 3*f + f, -f + 1 = t. Let x(i) = 5*i - 8. Let w be x(6). Let s = -18 + w. Solve s*p + 1 - 17 = t for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 657071 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: ((-49725)\/(-180))\/85 + ((-15)\/12)\/5\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -h = -3*h - 2*p - 2, 0 = -5*h + 5*p + 45 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 4\/15 - -1\/15. Suppose -5*y + 352 = -t, -5*y + 0*y - 3*t = -344. Suppose 90 = 4*l + y. Which is the closest to -1?  (a) l  (b) n  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = -d**2 + 28*d + 131. Suppose -54*g + 111 - 327 = 0. Give a(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/3 in -2\/3, 2\/137, 0.46, 61, 4?\nAnswer: 0.46","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0 + -0.1. Let o = -267 + 266.5. Which is the closest to 1?  (a) d  (b) o  (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 25508*a**2 + 33*a - 2947059.\nAnswer: 51016*a + 33","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*t + z - 219, 90*z = 94*z + 4. What is the least common multiple of t and 374?\nAnswer: 748","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 16904 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 m and 1 x when two letters picked without replacement from {x: 2, f: 1, r: 1, m: 2}?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) be the first derivative of -m**4\/4 - 13*m**3\/3 - 8*m**2 - 3*m - 31. What is the tens digit of h(-12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*s + 7 - 15 = 0. What is the closest to 2\/7 in s, -0.5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 14201647 is divided by 53?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express -10*j - 5*j + 2 - j + 16*j + 271*j**3 in the form w*j**3 + z + a*j**2 + x*j and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-107)\/(-203) + 26\/(-91). Let k = g + -811\/957. Let z = -2\/33 + k. Which is the nearest to -2\/7?  (a) -3  (b) 4  (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = -i**3 + 13*i**2 + 333*i - 58. Calculate f(-13).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 - (-1 + 1) - (0 - (5 - 4)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-2)\/(2*(-8)\/192). Calculate the greatest common divisor of k and 108.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p - 2*p = 4. Suppose -s = z - 17, -p*s - 3*z + 30 = z. Is 6 a factor of (s - 2) + -2 + 1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine y, given that -y**4\/6 + 13*y**3\/3 - 23*y**2\/6 - 25*y\/3 = 0.\nAnswer: -1, 0, 2, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -7\/75 and -44\/7.\nAnswer: 525","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*w**5 + 9*w**4 - 165*w**3 + 411*w**2 - 378*w + 120.\nAnswer: 3*(w - 4)*(w - 1)**3*(w + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (194*k**3 - 107*k**3 - 103*k**3 - 8*k**4)*(2*k + 0*k - 4*k) + 2*k**5 + 2*k**5 - 2*k**5 - k + k - k**5 + (k**4 - 2*k**4 + 3*k**4)*(-2*k - k + k).\nAnswer: 13*k**5 + 32*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) = 10*h**2 + 587*h - 4667. Give j(8).\nAnswer: 669","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25*q + 16*q + 216 = 0. List the prime factors of (-399)\/(-18) + ((-52)\/q - -2).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (5 - 13) + 2 - -11.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1.4 + -0.4. Let c = -9001 + 63009\/7. What is the nearest to 1 in 17, -2\/7, c, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 22 divide 5170?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) be the third derivative of -8*h**7\/105 + 19*h**6\/30 - 9*h**5\/5 + 4*h**4\/3 + 8*h**3\/3 + 4*h**2. Let z(b) = 0. What is b?\nAnswer: -1\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-47)\/2867*-61*19?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.5?  (a) -4  (b) 19  (c) -188  (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 955559399 to the nearest integer?\nAnswer: 30912","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 93987?\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t + 0*t = 3. Suppose 2*v + 13 - 29 = 0. What is the second derivative of -v*p + 5 - p**t - 5 wrt p?\nAnswer: -6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 8946396 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -1 + 3. Let b be (-8)\/((-14)\/6 + y). What is the greatest common divisor of 16 and b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine z so that z**2 + 1018217*z - 4072884 = 0.\nAnswer: -1018221, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express (4*u**2 + 0*u**2 - 2*u**2 + (-2*u - 4 + 4)*(-2*u + 2*u - u))*(0 + 3 + 13)*(0 + 0 - 5*u) as y + h*u**3 + d*u**2 + g*u and give h.\nAnswer: -320","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = 28*h - 2437. Let p be o(88). Solve 0 = q - 5*f - p, 0 = 8*q - 10*q + 3*f + 19 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = -d**2 - 5*d. Let h be g(-4). Suppose 0 = i + 1 - h. Suppose 5*l = 5*a, -2 = a - 2*a. Solve -5*c = -l*r - 15, 2*r - 3*c + 2 = -i for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 122 + -122.4. Let x = -35\/52 - -12\/13. What is the second biggest value in 1\/7, x, m?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3304877545.\nAnswer: 5, 673, 982133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 6193614571 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find m, given that -3*m**5 - 111*m**4 - 213*m**3 - 105*m**2 = 0.\nAnswer: -35, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand -5*l**3 + 0*l**3 + 3*l**3 + 3*l**2 - 3*l**2 - 2*l**3 + (1 - 1 - 2*l**2)*(-l + 2*l - 5*l) + 4*l**3 - 2*l**3 + 0*l**3 + 0*l**3 + l**3 - 3*l**3.\nAnswer: 4*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*t**3 + 3566092*t**2.\nAnswer: 2*t**2*(t + 1783046)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 104*v - 30*v + 103*v + 104*v + 102*v + 107*v - 486*v.\nAnswer: 4*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -0.0888 from -0.021822.\nAnswer: 0.066978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 18 a factor of (-6)\/15 + (-342782)\/(-55)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 4*f**2 - 6*f**2 - f - 12*f**2 - 797 + 15*f**2 as w + h*f**2 + o*f and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 706 + 1\nAnswer: 707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -19 + 72 = -2*r - p, 3*r = 4*p - 63. Suppose c = 4*a - 19, -3*a + 68 = 5*c + 25. List the prime factors of 3*a\/9 - r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = -17*i + 4. Let w(t) = -11*t + 3. Let b(d) = 5*f(d) - 8*w(d). Let k be b(3). Let g = 2.7 - 2.4. What is the biggest value in k, g, -5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -2\/85  (b) -3  (c) -0.75732  (d) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 155 + -153. Let j(x) = x**3 + 5*x**2 - 7*x - 1. Let d be j(-6). Find the third derivative of 79*y**5 - 158*y**d - 10*y**b + 73*y**5 wrt y.\nAnswer: -360*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 46109 and 78103.\nAnswer: 941","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1081961?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 64\/(-144)*(-105)\/(-56)?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (6\/(-8))\/(1\/(-4)). Let p be (240\/(-42))\/((-1)\/(-65)). Let l = p + 372. Which is the second biggest value?  (a) -1\/5  (b) f  (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 441003?\nAnswer: 3, 29, 37, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 5906 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 24075, 40244, 56413, 72582, 88751?\n\"Answer: 16169*n + 7906","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f = -2*f + x + 79, f - 2*x - 28 = 0. Find the second derivative of 9*t - 14*t + t**3 + t**3 + 7*t**5 - f*t wrt t.\nAnswer: 140*t**3 + 12*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 306*h + 12 = -2*m + 308*h, -m = h - 4. Let x(w) = w - 1. Let i(c) = c - 2. Let b = 3 - 1. Calculate b*x(a) + m*i(a).\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*y**5 - 10*y**4 - 1542*y**3 + 12106*y**2 - 10556*y = 0. What is y?\nAnswer: -29, 0, 1, 7, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 456 minutes before 6:23 AM?\nAnswer: 10:47 PM","meta":{"dup_signals":{},"source":"measurement__time_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: Evaluate -6 + (11 - 4) - 5.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = 4*t**3 - 157*t**2 - 7*t - 19. Let v(i) = -2*i**3 + 78*i**2 + 3*i + 8. Calculate 3*k(w) + 7*v(w).\nAnswer: -2*w**3 + 75*w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1887 and 153.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1954 is divided by 495?\nAnswer: 469","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 2*k + 2 + (-1 - 2 + 5)*(0*k + 0*k + k) - k - 3*k + 3*k)*(-3 - 2 + 3)*(k + 2 - 2).\nAnswer: -6*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = -s**2 + 2*s + 8. Give m(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*o - 7*o - o)*(131 - 90 + 109).\nAnswer: -1200*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 57 + (3 - (-2 - -4)). Suppose 5*o - z = 52. What is the lowest common multiple of o and 10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 32968 - 0.839179\nAnswer: 32967.160821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (-10 + (-3 + -9)*-1)\/((-2)\/(-3678)).\nAnswer: 2, 3, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-519)\/(-198) - (-78)\/1716. Determine n so that 128\/9 + f*n**2 + 32\/3*n + 2\/9*n**3 = 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v - 12*v - 2*v + 52 = 0. Sort -1, v, 22, -5, 1.\nAnswer: -5, -1, 1, v, 22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 3 + -445928.\nAnswer: -445925","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 26 - 11 - ((-2 + 6 - 3) + 4).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -3816, -17568, -41258, -74886, -118452, -171956, -235398?\nAnswer: -308778","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) be the second derivative of 3*b**5\/20 + b**4\/6 + 13*b**3\/3 + 52*b. Find the second derivative of f(s) wrt s.\nAnswer: 18*s + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -167*a - 959 + 404 = 1115 for a.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 103694 - 25819883\/249. Let x = t + -2\/83. Sort x, -3, 2, 0.\nAnswer: -3, x, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1763041216956471 - 5*g + 1763041216956471.\nAnswer: -5*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -39 - -23. Let w be ((-56)\/16)\/((-1)\/(-218)). Is w\/(-4) + (-4)\/u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -11000101010111100 (base 2) to base 9\nAnswer: -163550","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 9 - -1 - -7 - 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 974503*j**3 + 13513*j - 21.\nAnswer: 5847018*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 8 - (9 - (5 + -4)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 28892 divided by 1123?\nAnswer: 28892\/1123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/25 of a millennium in decades?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -7.8 - -8. Which is the smallest value?  (a) n  (b) 0.5  (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 650 + 400. Does 25 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (u**2 + u**2 - 5*u**2)*(1 - 1 + 2*u) - 3*u**3 + 5*u**3 + 0*u**3.\nAnswer: -4*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 16 a factor of ((-3024)\/(-45))\/((-2)\/(20\/(-3)))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.9, -2\/9, -13, 1 in decreasing order.\nAnswer: 1, 0.9, -2\/9, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) be the second derivative of -11*z**3\/6 - z**2 - 686*z. Let l(r) = 32*r + 6. Calculate -3*l(a) - 8*p(a).\nAnswer: -8*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Do 852 and 1\/9 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 4b08ab7 (base 12) in base 11?\nAnswer: 8328767","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -102*-0.33\nAnswer: 33.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 735 and 90.\nAnswer: 4410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9 = 4*s - 7. Suppose -3*z + 1 = -2*z. Let u(a) = 0 - s - 8*a + 6*a + z. What is u(-6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = 2*g**2 - 10*g + 8. Let j be x(7). Does 8 divide (-8)\/j - 292\/(-18)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 82\/(-10) - 1\/(-5). Let r be (-218)\/v + (-1)\/4. Let a = r - 9. What is the highest common factor of 36 and a?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = f. Let t(j) = -115*j - 25. Let g(s) = 19*s + 4. Let v(c) = -25*g(c) - 4*t(c). Give p(v(y)).\nAnswer: -15*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r - 4*z = 304, 32 = r + 4*z - 34. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}